TSTP Solution File: NUM377+1.010 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:47:27 EDT 2023
% Result : Unsatisfiable 46.66s 6.73s
% Output : Proof 261.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 15:39:11 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.63/0.60 ________ _____
% 0.63/0.60 ___ __ \_________(_)________________________________
% 0.63/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.63/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.63/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.63/0.60
% 0.63/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.63/0.60 (2023-06-19)
% 0.63/0.60
% 0.63/0.60 (c) Philipp Rümmer, 2009-2023
% 0.63/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.63/0.60 Amanda Stjerna.
% 0.63/0.60 Free software under BSD-3-Clause.
% 0.63/0.60
% 0.63/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.63/0.60
% 0.63/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.61 Running up to 7 provers in parallel.
% 0.63/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.63/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.63/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.63/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.63/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.63/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.63/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.19/1.15 Prover 1: Preprocessing ...
% 3.19/1.15 Prover 4: Preprocessing ...
% 3.67/1.20 Prover 6: Preprocessing ...
% 3.67/1.21 Prover 3: Preprocessing ...
% 3.67/1.21 Prover 2: Preprocessing ...
% 3.67/1.21 Prover 0: Preprocessing ...
% 3.67/1.21 Prover 5: Preprocessing ...
% 7.10/1.66 Prover 4: Constructing countermodel ...
% 7.10/1.66 Prover 3: Constructing countermodel ...
% 7.10/1.67 Prover 0: Constructing countermodel ...
% 7.10/1.67 Prover 1: Constructing countermodel ...
% 7.10/1.67 Prover 5: Constructing countermodel ...
% 7.10/1.67 Prover 2: Constructing countermodel ...
% 7.10/1.67 Prover 6: Constructing countermodel ...
% 46.66/6.73 Prover 3: proved (6108ms)
% 46.66/6.73
% 46.66/6.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.66/6.73
% 46.66/6.73 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 46.66/6.73 Prover 0: stopped
% 46.66/6.73 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 46.66/6.75 Prover 2: stopped
% 46.66/6.75 Prover 6: stopped
% 46.66/6.75 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 46.66/6.75 Prover 5: stopped
% 46.66/6.75 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 46.66/6.76 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 47.21/6.85 Prover 7: Preprocessing ...
% 47.21/6.87 Prover 13: Preprocessing ...
% 47.75/6.91 Prover 10: Preprocessing ...
% 47.75/6.91 Prover 11: Preprocessing ...
% 47.75/6.92 Prover 8: Preprocessing ...
% 47.75/6.95 Prover 7: Constructing countermodel ...
% 48.50/6.99 Prover 13: Constructing countermodel ...
% 48.50/6.99 Prover 11: Constructing countermodel ...
% 48.50/7.00 Prover 8: Constructing countermodel ...
% 48.72/7.01 Prover 10: Constructing countermodel ...
% 82.70/11.43 Prover 13: stopped
% 82.70/11.43 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 83.46/11.48 Prover 16: Preprocessing ...
% 83.95/11.55 Prover 16: Constructing countermodel ...
% 118.81/15.96 Prover 1: stopped
% 118.81/15.96 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 119.27/16.03 Prover 19: Preprocessing ...
% 119.51/16.11 Prover 19: Constructing countermodel ...
% 125.21/16.80 Prover 16: stopped
% 143.44/19.54 Prover 19: stopped
% 186.50/27.95 Prover 4: stopped
% 188.87/28.45 Prover 7: stopped
% 225.54/40.11 Prover 11: stopped
% 226.56/40.53 Prover 8: stopped
% 243.30/56.01 Prover 10: Found proof (size 202087)
% 243.30/56.01 Prover 10: proved (49258ms)
% 243.30/56.01
% 243.30/56.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 243.30/56.01
% 252.07/63.83 % SZS output start Proof for theBenchmark
% 252.22/63.93 Assumptions after simplification:
% 252.22/63.93 ---------------------------------
% 252.22/63.93
% 252.22/63.93 (try_satisfy_this)
% 252.32/64.02 $i(n10) & $i(n9) & $i(n8) & $i(n7) & $i(n6) & $i(n5) & $i(n4) & $i(n3) &
% 252.32/64.02 $i(n2) & $i(n1) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 252.32/64.02 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 252.32/64.02 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 252.32/64.02 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 252.32/64.02 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 252.32/64.02 [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ?
% 252.32/64.02 [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ?
% 252.32/64.02 [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ?
% 252.32/64.02 [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ?
% 252.32/64.02 [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ?
% 252.32/64.02 [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ?
% 252.32/64.02 [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ?
% 252.32/64.02 [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ?
% 252.32/64.02 [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ?
% 252.32/64.02 [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ?
% 252.32/64.02 [v74: $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ?
% 252.32/64.02 [v79: $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ?
% 252.32/64.02 [v84: $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 252.32/64.02 [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ?
% 252.32/64.02 [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ?
% 252.32/64.02 [v99: $i] : ? [v100: $i] : ? [v101: $i] : ( ~ (n10 = n9) & ~ (n10 = n8) &
% 252.32/64.02 ~ (n10 = n7) & ~ (n10 = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = n3)
% 252.32/64.02 & ~ (n10 = n2) & ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9 =
% 252.32/64.02 n7) & ~ (n9 = n6) & ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ (n9 =
% 252.32/64.02 n2) & ~ (n9 = n1) & ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) & ~ (n8 =
% 252.32/64.02 n5) & ~ (n8 = n4) & ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 = n1) & ~ (n8 =
% 252.32/64.02 n0) & ~ (n7 = n6) & ~ (n7 = n5) & ~ (n7 = n4) & ~ (n7 = n3) & ~ (n7 =
% 252.32/64.02 n2) & ~ (n7 = n1) & ~ (n7 = n0) & ~ (n6 = n5) & ~ (n6 = n4) & ~ (n6 =
% 252.32/64.02 n3) & ~ (n6 = n2) & ~ (n6 = n1) & ~ (n6 = n0) & ~ (n5 = n4) & ~ (n5 =
% 252.32/64.02 n3) & ~ (n5 = n2) & ~ (n5 = n1) & ~ (n5 = n0) & ~ (n4 = n3) & ~ (n4 =
% 252.32/64.02 n2) & ~ (n4 = n1) & ~ (n4 = n0) & ~ (n3 = n2) & ~ (n3 = n1) & ~ (n3 =
% 252.32/64.02 n0) & ~ (n2 = n1) & ~ (n2 = n0) & ~ (n1 = n0) & pred(v19) = v97 &
% 252.32/64.02 pred(v18) = v94 & pred(v17) = v89 & pred(v16) = v86 & pred(v15) = v81 &
% 252.32/64.02 pred(v14) = v78 & pred(v13) = v73 & pred(v12) = v70 & pred(v11) = v65 &
% 252.32/64.02 pred(v10) = v62 & pred(v9) = v57 & pred(v8) = v54 & pred(v7) = v49 &
% 252.32/64.02 pred(v6) = v46 & pred(v5) = v41 & pred(v4) = v38 & pred(v3) = v33 & pred(v2)
% 252.32/64.02 = v30 & pred(v1) = v25 & pred(v0) = v22 & pred(n10) = n9 & pred(n9) = n8 &
% 252.32/64.02 pred(n8) = n7 & pred(n7) = n6 & pred(n6) = n5 & pred(n5) = n4 & pred(n4) =
% 252.32/64.02 n3 & pred(n3) = n2 & pred(n2) = n1 & pred(n1) = n0 & pred(n0) = n10 &
% 252.32/64.02 succ(v19) = v95 & succ(v18) = v98 & succ(v17) = v87 & succ(v16) = v90 &
% 252.32/64.02 succ(v15) = v79 & succ(v14) = v82 & succ(v13) = v71 & succ(v12) = v74 &
% 252.32/64.02 succ(v11) = v63 & succ(v10) = v66 & succ(v9) = v55 & succ(v8) = v58 &
% 252.32/64.02 succ(v7) = v47 & succ(v6) = v50 & succ(v5) = v39 & succ(v4) = v42 & succ(v3)
% 252.32/64.02 = v31 & succ(v2) = v34 & succ(v1) = v23 & succ(v0) = v26 & succ(n10) = n0 &
% 252.32/64.02 succ(n9) = n10 & succ(n8) = n9 & succ(n7) = n8 & succ(n6) = n7 & succ(n5) =
% 252.32/64.02 n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 &
% 252.32/64.02 succ(n0) = n1 & sum(v100, v101) = v21 & sum(v97, v98) = v99 & sum(v97, v95)
% 252.32/64.02 = v101 & sum(v96, v99) = v20 & sum(v94, v98) = v100 & sum(v94, v95) = v96 &
% 252.32/64.02 sum(v92, v93) = v19 & sum(v89, v90) = v91 & sum(v89, v87) = v93 & sum(v88,
% 252.32/64.02 v91) = v18 & sum(v86, v90) = v92 & sum(v86, v87) = v88 & sum(v84, v85) =
% 252.32/64.02 v17 & sum(v81, v82) = v83 & sum(v81, v79) = v85 & sum(v80, v83) = v16 &
% 252.32/64.02 sum(v78, v82) = v84 & sum(v78, v79) = v80 & sum(v76, v77) = v15 & sum(v73,
% 252.32/64.02 v74) = v75 & sum(v73, v71) = v77 & sum(v72, v75) = v14 & sum(v70, v74) =
% 252.32/64.02 v76 & sum(v70, v71) = v72 & sum(v68, v69) = v13 & sum(v65, v66) = v67 &
% 252.32/64.02 sum(v65, v63) = v69 & sum(v64, v67) = v12 & sum(v62, v66) = v68 & sum(v62,
% 252.32/64.02 v63) = v64 & sum(v60, v61) = v11 & sum(v57, v58) = v59 & sum(v57, v55) =
% 252.32/64.02 v61 & sum(v56, v59) = v10 & sum(v54, v58) = v60 & sum(v54, v55) = v56 &
% 252.32/64.02 sum(v52, v53) = v9 & sum(v49, v50) = v51 & sum(v49, v47) = v53 & sum(v48,
% 252.32/64.02 v51) = v8 & sum(v46, v50) = v52 & sum(v46, v47) = v48 & sum(v44, v45) = v7
% 252.32/64.02 & sum(v41, v42) = v43 & sum(v41, v39) = v45 & sum(v40, v43) = v6 & sum(v38,
% 252.32/64.02 v42) = v44 & sum(v38, v39) = v40 & sum(v36, v37) = v5 & sum(v33, v34) =
% 252.32/64.02 v35 & sum(v33, v31) = v37 & sum(v32, v35) = v4 & sum(v30, v34) = v36 &
% 252.32/64.02 sum(v30, v31) = v32 & sum(v28, v29) = v3 & sum(v25, v26) = v27 & sum(v25,
% 252.32/64.02 v23) = v29 & sum(v24, v27) = v2 & sum(v22, v26) = v28 & sum(v22, v23) =
% 252.32/64.02 v24 & sum(n10, n10) = n9 & sum(n10, n9) = n8 & sum(n10, n8) = n7 & sum(n10,
% 252.32/64.02 n7) = n6 & sum(n10, n6) = n5 & sum(n10, n5) = n4 & sum(n10, n4) = n3 &
% 252.32/64.02 sum(n10, n3) = n2 & sum(n10, n2) = n1 & sum(n10, n1) = n0 & sum(n10, n0) =
% 252.32/64.02 n10 & sum(n9, n10) = n8 & sum(n9, n9) = n7 & sum(n9, n8) = n6 & sum(n9, n7)
% 252.32/64.02 = n5 & sum(n9, n6) = n4 & sum(n9, n5) = n3 & sum(n9, n4) = n2 & sum(n9, n3)
% 252.32/64.02 = n1 & sum(n9, n2) = n0 & sum(n9, n1) = n10 & sum(n9, n0) = n9 & sum(n8,
% 252.32/64.02 n10) = n7 & sum(n8, n9) = n6 & sum(n8, n8) = n5 & sum(n8, n7) = n4 &
% 252.32/64.02 sum(n8, n6) = n3 & sum(n8, n5) = n2 & sum(n8, n4) = n1 & sum(n8, n3) = n0 &
% 252.32/64.02 sum(n8, n2) = n10 & sum(n8, n1) = n9 & sum(n8, n0) = n8 & sum(n7, n10) = n6
% 252.32/64.02 & sum(n7, n9) = n5 & sum(n7, n8) = n4 & sum(n7, n7) = n3 & sum(n7, n6) = n2
% 252.32/64.02 & sum(n7, n5) = n1 & sum(n7, n4) = n0 & sum(n7, n3) = n10 & sum(n7, n2) = n9
% 252.32/64.02 & sum(n7, n1) = n8 & sum(n7, n0) = n7 & sum(n6, n10) = n5 & sum(n6, n9) = n4
% 252.32/64.02 & sum(n6, n8) = n3 & sum(n6, n7) = n2 & sum(n6, n6) = n1 & sum(n6, n5) = n0
% 252.32/64.02 & sum(n6, n4) = n10 & sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = n7
% 252.32/64.02 & sum(n6, n0) = n6 & sum(n5, n10) = n4 & sum(n5, n9) = n3 & sum(n5, n8) = n2
% 252.32/64.02 & sum(n5, n7) = n1 & sum(n5, n6) = n0 & sum(n5, n5) = n10 & sum(n5, n4) = n9
% 252.32/64.02 & sum(n5, n3) = n8 & sum(n5, n2) = n7 & sum(n5, n1) = n6 & sum(n5, n0) = n5
% 252.32/64.02 & sum(n4, n10) = n3 & sum(n4, n9) = n2 & sum(n4, n8) = n1 & sum(n4, n7) = n0
% 252.32/64.02 & sum(n4, n6) = n10 & sum(n4, n5) = n9 & sum(n4, n4) = n8 & sum(n4, n3) = n7
% 252.32/64.02 & sum(n4, n2) = n6 & sum(n4, n1) = n5 & sum(n4, n0) = n4 & sum(n3, n10) = n2
% 252.32/64.02 & sum(n3, n9) = n1 & sum(n3, n8) = n0 & sum(n3, n7) = n10 & sum(n3, n6) = n9
% 252.32/64.02 & sum(n3, n5) = n8 & sum(n3, n4) = n7 & sum(n3, n3) = n6 & sum(n3, n2) = n5
% 252.32/64.02 & sum(n3, n1) = n4 & sum(n3, n0) = n3 & sum(n2, n10) = n1 & sum(n2, n9) = n0
% 252.32/64.02 & sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6) = n8 & sum(n2, n5) = n7
% 252.32/64.02 & sum(n2, n4) = n6 & sum(n2, n3) = n5 & sum(n2, n2) = n4 & sum(n2, n1) = n3
% 252.32/64.02 & sum(n2, n0) = n2 & sum(n1, n10) = n0 & sum(n1, n9) = n10 & sum(n1, n8) =
% 252.32/64.02 n9 & sum(n1, n7) = n8 & sum(n1, n6) = n7 & sum(n1, n5) = n6 & sum(n1, n4) =
% 252.32/64.02 n5 & sum(n1, n3) = n4 & sum(n1, n2) = n3 & sum(n1, n1) = n2 & sum(n1, n0) =
% 252.32/64.02 n1 & sum(n0, n10) = n10 & sum(n0, n9) = n9 & sum(n0, n8) = n8 & sum(n0, n7)
% 252.32/64.02 = n7 & sum(n0, n6) = n6 & sum(n0, n5) = n5 & sum(n0, n4) = n4 & sum(n0, n3)
% 252.32/64.02 = n3 & sum(n0, n2) = n2 & sum(n0, n1) = n1 & sum(n0, n0) = n0 & $i(v101) &
% 252.32/64.02 $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) &
% 252.32/64.02 $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) &
% 252.32/64.02 $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) &
% 252.32/64.02 $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 252.32/64.02 $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) &
% 252.32/64.02 $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 252.32/64.02 $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) &
% 252.32/64.02 $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) &
% 252.32/64.02 $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 252.32/64.02 $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) &
% 252.32/64.02 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 252.32/64.03 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 252.32/64.03 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 252.32/64.03 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 252.32/64.03 $i(v0) & ( ~ (v21 = v20) | ~ (v19 = v18) | ~ (v17 = v16) | ~ (v15 = v14)
% 252.32/64.03 | ~ (v13 = v12) | ~ (v11 = v10) | ~ (v9 = v8) | ~ (v7 = v6) | ~ (v5 =
% 252.32/64.03 v4) | ~ (v3 = v2)) & (v1 = n10 | v1 = n9 | v1 = n8 | v1 = n7 | v1 = n6
% 252.32/64.03 | v1 = n5 | v1 = n4 | v1 = n3 | v1 = n2 | v1 = n1 | v1 = n0) & (v0 = n10 |
% 252.32/64.03 v0 = n9 | v0 = n8 | v0 = n7 | v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 =
% 252.32/64.03 n2 | v0 = n1 | v0 = n0))
% 252.32/64.03
% 252.32/64.03 (function-axioms)
% 252.32/64.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sum(v3,
% 252.32/64.03 v2) = v1) | ~ (sum(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 252.32/64.03 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0: $i] : !
% 252.32/64.03 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 252.32/64.03
% 252.32/64.03 Those formulas are unsatisfiable:
% 252.32/64.03 ---------------------------------
% 252.32/64.03
% 252.32/64.03 Begin of proof
% 252.32/64.03 |
% 252.32/64.03 | ALPHA: (try_satisfy_this) implies:
% 252.79/64.06 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 252.79/64.06 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 252.79/64.06 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 252.79/64.06 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 252.79/64.06 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 252.79/64.06 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] :
% 252.79/64.06 | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33:
% 252.79/64.06 | $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 252.79/64.06 | [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] :
% 252.79/64.06 | ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47:
% 252.79/64.06 | $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ?
% 252.79/64.06 | [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] :
% 252.79/64.06 | ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61:
% 252.79/64.06 | $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ?
% 252.79/64.06 | [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: $i] :
% 252.79/64.06 | ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 252.79/64.06 | $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ?
% 252.79/64.06 | [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] :
% 252.79/64.06 | ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89:
% 252.79/64.06 | $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ?
% 252.79/64.07 | [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] :
% 252.79/64.07 | ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ( ~ (n10 = n9) & ~ (n10
% 252.79/64.07 | = n8) & ~ (n10 = n7) & ~ (n10 = n6) & ~ (n10 = n5) & ~ (n10 =
% 252.79/64.07 | n4) & ~ (n10 = n3) & ~ (n10 = n2) & ~ (n10 = n1) & ~ (n10 = n0)
% 252.79/64.07 | & ~ (n9 = n8) & ~ (n9 = n7) & ~ (n9 = n6) & ~ (n9 = n5) & ~ (n9
% 252.79/64.07 | = n4) & ~ (n9 = n3) & ~ (n9 = n2) & ~ (n9 = n1) & ~ (n9 = n0) &
% 252.79/64.07 | ~ (n8 = n7) & ~ (n8 = n6) & ~ (n8 = n5) & ~ (n8 = n4) & ~ (n8 =
% 252.79/64.07 | n3) & ~ (n8 = n2) & ~ (n8 = n1) & ~ (n8 = n0) & ~ (n7 = n6) &
% 252.79/64.07 | ~ (n7 = n5) & ~ (n7 = n4) & ~ (n7 = n3) & ~ (n7 = n2) & ~ (n7 =
% 252.79/64.07 | n1) & ~ (n7 = n0) & ~ (n6 = n5) & ~ (n6 = n4) & ~ (n6 = n3) &
% 252.79/64.07 | ~ (n6 = n2) & ~ (n6 = n1) & ~ (n6 = n0) & ~ (n5 = n4) & ~ (n5 =
% 252.79/64.07 | n3) & ~ (n5 = n2) & ~ (n5 = n1) & ~ (n5 = n0) & ~ (n4 = n3) &
% 252.79/64.07 | ~ (n4 = n2) & ~ (n4 = n1) & ~ (n4 = n0) & ~ (n3 = n2) & ~ (n3 =
% 252.79/64.07 | n1) & ~ (n3 = n0) & ~ (n2 = n1) & ~ (n2 = n0) & ~ (n1 = n0) &
% 252.79/64.07 | pred(v19) = v97 & pred(v18) = v94 & pred(v17) = v89 & pred(v16) = v86
% 252.79/64.07 | & pred(v15) = v81 & pred(v14) = v78 & pred(v13) = v73 & pred(v12) =
% 252.79/64.07 | v70 & pred(v11) = v65 & pred(v10) = v62 & pred(v9) = v57 & pred(v8) =
% 252.79/64.07 | v54 & pred(v7) = v49 & pred(v6) = v46 & pred(v5) = v41 & pred(v4) =
% 252.79/64.07 | v38 & pred(v3) = v33 & pred(v2) = v30 & pred(v1) = v25 & pred(v0) =
% 252.79/64.07 | v22 & pred(n10) = n9 & pred(n9) = n8 & pred(n8) = n7 & pred(n7) = n6
% 252.79/64.07 | & pred(n6) = n5 & pred(n5) = n4 & pred(n4) = n3 & pred(n3) = n2 &
% 252.79/64.07 | pred(n2) = n1 & pred(n1) = n0 & pred(n0) = n10 & succ(v19) = v95 &
% 252.79/64.07 | succ(v18) = v98 & succ(v17) = v87 & succ(v16) = v90 & succ(v15) = v79
% 252.79/64.07 | & succ(v14) = v82 & succ(v13) = v71 & succ(v12) = v74 & succ(v11) =
% 252.79/64.07 | v63 & succ(v10) = v66 & succ(v9) = v55 & succ(v8) = v58 & succ(v7) =
% 252.79/64.07 | v47 & succ(v6) = v50 & succ(v5) = v39 & succ(v4) = v42 & succ(v3) =
% 252.79/64.07 | v31 & succ(v2) = v34 & succ(v1) = v23 & succ(v0) = v26 & succ(n10) =
% 252.79/64.07 | n0 & succ(n9) = n10 & succ(n8) = n9 & succ(n7) = n8 & succ(n6) = n7 &
% 252.79/64.07 | succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 &
% 252.79/64.07 | succ(n1) = n2 & succ(n0) = n1 & sum(v100, v101) = v21 & sum(v97, v98)
% 252.79/64.07 | = v99 & sum(v97, v95) = v101 & sum(v96, v99) = v20 & sum(v94, v98) =
% 252.79/64.07 | v100 & sum(v94, v95) = v96 & sum(v92, v93) = v19 & sum(v89, v90) =
% 252.79/64.07 | v91 & sum(v89, v87) = v93 & sum(v88, v91) = v18 & sum(v86, v90) = v92
% 252.79/64.07 | & sum(v86, v87) = v88 & sum(v84, v85) = v17 & sum(v81, v82) = v83 &
% 252.79/64.07 | sum(v81, v79) = v85 & sum(v80, v83) = v16 & sum(v78, v82) = v84 &
% 252.79/64.07 | sum(v78, v79) = v80 & sum(v76, v77) = v15 & sum(v73, v74) = v75 &
% 252.79/64.07 | sum(v73, v71) = v77 & sum(v72, v75) = v14 & sum(v70, v74) = v76 &
% 252.79/64.07 | sum(v70, v71) = v72 & sum(v68, v69) = v13 & sum(v65, v66) = v67 &
% 252.79/64.07 | sum(v65, v63) = v69 & sum(v64, v67) = v12 & sum(v62, v66) = v68 &
% 252.79/64.07 | sum(v62, v63) = v64 & sum(v60, v61) = v11 & sum(v57, v58) = v59 &
% 252.79/64.07 | sum(v57, v55) = v61 & sum(v56, v59) = v10 & sum(v54, v58) = v60 &
% 252.79/64.07 | sum(v54, v55) = v56 & sum(v52, v53) = v9 & sum(v49, v50) = v51 &
% 252.79/64.07 | sum(v49, v47) = v53 & sum(v48, v51) = v8 & sum(v46, v50) = v52 &
% 252.79/64.07 | sum(v46, v47) = v48 & sum(v44, v45) = v7 & sum(v41, v42) = v43 &
% 252.79/64.07 | sum(v41, v39) = v45 & sum(v40, v43) = v6 & sum(v38, v42) = v44 &
% 252.79/64.07 | sum(v38, v39) = v40 & sum(v36, v37) = v5 & sum(v33, v34) = v35 &
% 252.79/64.07 | sum(v33, v31) = v37 & sum(v32, v35) = v4 & sum(v30, v34) = v36 &
% 252.79/64.07 | sum(v30, v31) = v32 & sum(v28, v29) = v3 & sum(v25, v26) = v27 &
% 252.79/64.07 | sum(v25, v23) = v29 & sum(v24, v27) = v2 & sum(v22, v26) = v28 &
% 252.79/64.07 | sum(v22, v23) = v24 & sum(n10, n10) = n9 & sum(n10, n9) = n8 &
% 252.79/64.07 | sum(n10, n8) = n7 & sum(n10, n7) = n6 & sum(n10, n6) = n5 & sum(n10,
% 252.79/64.07 | n5) = n4 & sum(n10, n4) = n3 & sum(n10, n3) = n2 & sum(n10, n2) =
% 252.79/64.07 | n1 & sum(n10, n1) = n0 & sum(n10, n0) = n10 & sum(n9, n10) = n8 &
% 252.79/64.07 | sum(n9, n9) = n7 & sum(n9, n8) = n6 & sum(n9, n7) = n5 & sum(n9, n6)
% 252.79/64.07 | = n4 & sum(n9, n5) = n3 & sum(n9, n4) = n2 & sum(n9, n3) = n1 &
% 252.79/64.07 | sum(n9, n2) = n0 & sum(n9, n1) = n10 & sum(n9, n0) = n9 & sum(n8,
% 252.79/64.07 | n10) = n7 & sum(n8, n9) = n6 & sum(n8, n8) = n5 & sum(n8, n7) = n4
% 252.79/64.07 | & sum(n8, n6) = n3 & sum(n8, n5) = n2 & sum(n8, n4) = n1 & sum(n8,
% 252.79/64.07 | n3) = n0 & sum(n8, n2) = n10 & sum(n8, n1) = n9 & sum(n8, n0) = n8
% 252.79/64.07 | & sum(n7, n10) = n6 & sum(n7, n9) = n5 & sum(n7, n8) = n4 & sum(n7,
% 252.79/64.07 | n7) = n3 & sum(n7, n6) = n2 & sum(n7, n5) = n1 & sum(n7, n4) = n0 &
% 252.79/64.07 | sum(n7, n3) = n10 & sum(n7, n2) = n9 & sum(n7, n1) = n8 & sum(n7, n0)
% 252.79/64.07 | = n7 & sum(n6, n10) = n5 & sum(n6, n9) = n4 & sum(n6, n8) = n3 &
% 252.79/64.07 | sum(n6, n7) = n2 & sum(n6, n6) = n1 & sum(n6, n5) = n0 & sum(n6, n4)
% 252.79/64.07 | = n10 & sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = n7 &
% 252.79/64.07 | sum(n6, n0) = n6 & sum(n5, n10) = n4 & sum(n5, n9) = n3 & sum(n5, n8)
% 252.79/64.07 | = n2 & sum(n5, n7) = n1 & sum(n5, n6) = n0 & sum(n5, n5) = n10 &
% 252.79/64.07 | sum(n5, n4) = n9 & sum(n5, n3) = n8 & sum(n5, n2) = n7 & sum(n5, n1)
% 252.79/64.07 | = n6 & sum(n5, n0) = n5 & sum(n4, n10) = n3 & sum(n4, n9) = n2 &
% 252.79/64.07 | sum(n4, n8) = n1 & sum(n4, n7) = n0 & sum(n4, n6) = n10 & sum(n4, n5)
% 252.79/64.07 | = n9 & sum(n4, n4) = n8 & sum(n4, n3) = n7 & sum(n4, n2) = n6 &
% 252.79/64.07 | sum(n4, n1) = n5 & sum(n4, n0) = n4 & sum(n3, n10) = n2 & sum(n3, n9)
% 252.79/64.07 | = n1 & sum(n3, n8) = n0 & sum(n3, n7) = n10 & sum(n3, n6) = n9 &
% 252.79/64.07 | sum(n3, n5) = n8 & sum(n3, n4) = n7 & sum(n3, n3) = n6 & sum(n3, n2)
% 252.79/64.07 | = n5 & sum(n3, n1) = n4 & sum(n3, n0) = n3 & sum(n2, n10) = n1 &
% 252.79/64.07 | sum(n2, n9) = n0 & sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6)
% 252.79/64.07 | = n8 & sum(n2, n5) = n7 & sum(n2, n4) = n6 & sum(n2, n3) = n5 &
% 252.79/64.07 | sum(n2, n2) = n4 & sum(n2, n1) = n3 & sum(n2, n0) = n2 & sum(n1, n10)
% 252.79/64.07 | = n0 & sum(n1, n9) = n10 & sum(n1, n8) = n9 & sum(n1, n7) = n8 &
% 252.79/64.07 | sum(n1, n6) = n7 & sum(n1, n5) = n6 & sum(n1, n4) = n5 & sum(n1, n3)
% 252.79/64.07 | = n4 & sum(n1, n2) = n3 & sum(n1, n1) = n2 & sum(n1, n0) = n1 &
% 252.79/64.07 | sum(n0, n10) = n10 & sum(n0, n9) = n9 & sum(n0, n8) = n8 & sum(n0,
% 252.79/64.07 | n7) = n7 & sum(n0, n6) = n6 & sum(n0, n5) = n5 & sum(n0, n4) = n4 &
% 252.79/64.07 | sum(n0, n3) = n3 & sum(n0, n2) = n2 & sum(n0, n1) = n1 & sum(n0, n0)
% 252.79/64.07 | = n0 & $i(v101) & $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) &
% 252.79/64.07 | $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) &
% 252.79/64.07 | $i(v88) & $i(v87) & $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) &
% 252.79/64.07 | $i(v81) & $i(v80) & $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) &
% 252.79/64.07 | $i(v74) & $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) &
% 252.79/64.07 | $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) &
% 252.79/64.07 | $i(v60) & $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) &
% 252.79/64.07 | $i(v53) & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 252.79/64.07 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) &
% 252.79/64.07 | $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) &
% 252.79/64.07 | $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 252.79/64.07 | $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 252.79/64.07 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 252.79/64.07 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 252.79/64.07 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v21 = v20) | ~
% 252.79/64.07 | (v19 = v18) | ~ (v17 = v16) | ~ (v15 = v14) | ~ (v13 = v12) | ~
% 252.79/64.07 | (v11 = v10) | ~ (v9 = v8) | ~ (v7 = v6) | ~ (v5 = v4) | ~ (v3 =
% 252.79/64.07 | v2)) & (v1 = n10 | v1 = n9 | v1 = n8 | v1 = n7 | v1 = n6 | v1 =
% 252.79/64.07 | n5 | v1 = n4 | v1 = n3 | v1 = n2 | v1 = n1 | v1 = n0) & (v0 = n10 |
% 252.79/64.07 | v0 = n9 | v0 = n8 | v0 = n7 | v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3
% 252.79/64.07 | | v0 = n2 | v0 = n1 | v0 = n0))
% 252.79/64.07 |
% 252.79/64.07 | ALPHA: (function-axioms) implies:
% 252.79/64.07 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 252.79/64.07 | | ~ (succ(v2) = v0))
% 252.79/64.07 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 252.79/64.07 | | ~ (pred(v2) = v0))
% 252.79/64.07 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 252.79/64.07 | (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 252.79/64.07 |
% 252.79/64.07 | DELTA: instantiating (1) with fresh symbols all_4_0, all_4_1, all_4_2,
% 252.79/64.07 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 252.79/64.07 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 252.79/64.07 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 252.79/64.07 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30,
% 252.79/64.07 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37,
% 252.79/64.07 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44,
% 252.79/64.07 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51,
% 252.79/64.07 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58,
% 252.79/64.07 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65,
% 252.79/64.07 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72,
% 252.79/64.07 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79,
% 252.79/64.07 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86,
% 252.79/64.07 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93,
% 252.79/64.07 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100,
% 252.79/64.07 | all_4_101 gives:
% 253.04/64.10 | (5) ~ (n10 = n9) & ~ (n10 = n8) & ~ (n10 = n7) & ~ (n10 = n6) & ~ (n10
% 253.04/64.10 | = n5) & ~ (n10 = n4) & ~ (n10 = n3) & ~ (n10 = n2) & ~ (n10 = n1)
% 253.04/64.10 | & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9 = n7) & ~ (n9 = n6) & ~ (n9 =
% 253.04/64.10 | n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ (n9 = n2) & ~ (n9 = n1) & ~
% 253.04/64.10 | (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) & ~ (n8 = n5) & ~ (n8 = n4) &
% 253.04/64.10 | ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 = n1) & ~ (n8 = n0) & ~ (n7 =
% 253.04/64.10 | n6) & ~ (n7 = n5) & ~ (n7 = n4) & ~ (n7 = n3) & ~ (n7 = n2) & ~
% 253.04/64.10 | (n7 = n1) & ~ (n7 = n0) & ~ (n6 = n5) & ~ (n6 = n4) & ~ (n6 = n3) &
% 253.04/64.10 | ~ (n6 = n2) & ~ (n6 = n1) & ~ (n6 = n0) & ~ (n5 = n4) & ~ (n5 =
% 253.04/64.10 | n3) & ~ (n5 = n2) & ~ (n5 = n1) & ~ (n5 = n0) & ~ (n4 = n3) & ~
% 253.04/64.10 | (n4 = n2) & ~ (n4 = n1) & ~ (n4 = n0) & ~ (n3 = n2) & ~ (n3 = n1) &
% 253.04/64.10 | ~ (n3 = n0) & ~ (n2 = n1) & ~ (n2 = n0) & ~ (n1 = n0) &
% 253.04/64.10 | pred(all_4_82) = all_4_4 & pred(all_4_83) = all_4_7 & pred(all_4_84) =
% 253.04/64.10 | all_4_12 & pred(all_4_85) = all_4_15 & pred(all_4_86) = all_4_20 &
% 253.04/64.10 | pred(all_4_87) = all_4_23 & pred(all_4_88) = all_4_28 & pred(all_4_89)
% 253.04/64.10 | = all_4_31 & pred(all_4_90) = all_4_36 & pred(all_4_91) = all_4_39 &
% 253.04/64.10 | pred(all_4_92) = all_4_44 & pred(all_4_93) = all_4_47 & pred(all_4_94)
% 253.04/64.10 | = all_4_52 & pred(all_4_95) = all_4_55 & pred(all_4_96) = all_4_60 &
% 253.04/64.10 | pred(all_4_97) = all_4_63 & pred(all_4_98) = all_4_68 & pred(all_4_99)
% 253.04/64.10 | = all_4_71 & pred(all_4_100) = all_4_76 & pred(all_4_101) = all_4_79 &
% 253.04/64.10 | pred(n10) = n9 & pred(n9) = n8 & pred(n8) = n7 & pred(n7) = n6 &
% 253.04/64.10 | pred(n6) = n5 & pred(n5) = n4 & pred(n4) = n3 & pred(n3) = n2 &
% 253.04/64.10 | pred(n2) = n1 & pred(n1) = n0 & pred(n0) = n10 & succ(all_4_82) =
% 253.04/64.10 | all_4_6 & succ(all_4_83) = all_4_3 & succ(all_4_84) = all_4_14 &
% 253.04/64.10 | succ(all_4_85) = all_4_11 & succ(all_4_86) = all_4_22 & succ(all_4_87)
% 253.04/64.10 | = all_4_19 & succ(all_4_88) = all_4_30 & succ(all_4_89) = all_4_27 &
% 253.04/64.10 | succ(all_4_90) = all_4_38 & succ(all_4_91) = all_4_35 & succ(all_4_92)
% 253.04/64.10 | = all_4_46 & succ(all_4_93) = all_4_43 & succ(all_4_94) = all_4_54 &
% 253.04/64.10 | succ(all_4_95) = all_4_51 & succ(all_4_96) = all_4_62 & succ(all_4_97)
% 253.04/64.10 | = all_4_59 & succ(all_4_98) = all_4_70 & succ(all_4_99) = all_4_67 &
% 253.04/64.10 | succ(all_4_100) = all_4_78 & succ(all_4_101) = all_4_75 & succ(n10) =
% 253.04/64.10 | n0 & succ(n9) = n10 & succ(n8) = n9 & succ(n7) = n8 & succ(n6) = n7 &
% 253.04/64.10 | succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 &
% 253.04/64.10 | succ(n1) = n2 & succ(n0) = n1 & sum(all_4_1, all_4_0) = all_4_80 &
% 253.04/64.10 | sum(all_4_4, all_4_3) = all_4_2 & sum(all_4_4, all_4_6) = all_4_0 &
% 253.04/64.10 | sum(all_4_5, all_4_2) = all_4_81 & sum(all_4_7, all_4_3) = all_4_1 &
% 253.04/64.10 | sum(all_4_7, all_4_6) = all_4_5 & sum(all_4_9, all_4_8) = all_4_82 &
% 253.04/64.10 | sum(all_4_12, all_4_11) = all_4_10 & sum(all_4_12, all_4_14) = all_4_8
% 253.04/64.10 | & sum(all_4_13, all_4_10) = all_4_83 & sum(all_4_15, all_4_11) =
% 253.04/64.10 | all_4_9 & sum(all_4_15, all_4_14) = all_4_13 & sum(all_4_17, all_4_16)
% 253.04/64.10 | = all_4_84 & sum(all_4_20, all_4_19) = all_4_18 & sum(all_4_20,
% 253.04/64.10 | all_4_22) = all_4_16 & sum(all_4_21, all_4_18) = all_4_85 &
% 253.04/64.10 | sum(all_4_23, all_4_19) = all_4_17 & sum(all_4_23, all_4_22) = all_4_21
% 253.04/64.10 | & sum(all_4_25, all_4_24) = all_4_86 & sum(all_4_28, all_4_27) =
% 253.04/64.10 | all_4_26 & sum(all_4_28, all_4_30) = all_4_24 & sum(all_4_29, all_4_26)
% 253.04/64.10 | = all_4_87 & sum(all_4_31, all_4_27) = all_4_25 & sum(all_4_31,
% 253.04/64.10 | all_4_30) = all_4_29 & sum(all_4_33, all_4_32) = all_4_88 &
% 253.04/64.10 | sum(all_4_36, all_4_35) = all_4_34 & sum(all_4_36, all_4_38) = all_4_32
% 253.04/64.10 | & sum(all_4_37, all_4_34) = all_4_89 & sum(all_4_39, all_4_35) =
% 253.04/64.10 | all_4_33 & sum(all_4_39, all_4_38) = all_4_37 & sum(all_4_41, all_4_40)
% 253.04/64.10 | = all_4_90 & sum(all_4_44, all_4_43) = all_4_42 & sum(all_4_44,
% 253.04/64.10 | all_4_46) = all_4_40 & sum(all_4_45, all_4_42) = all_4_91 &
% 253.04/64.10 | sum(all_4_47, all_4_43) = all_4_41 & sum(all_4_47, all_4_46) = all_4_45
% 253.04/64.10 | & sum(all_4_49, all_4_48) = all_4_92 & sum(all_4_52, all_4_51) =
% 253.04/64.10 | all_4_50 & sum(all_4_52, all_4_54) = all_4_48 & sum(all_4_53, all_4_50)
% 253.04/64.10 | = all_4_93 & sum(all_4_55, all_4_51) = all_4_49 & sum(all_4_55,
% 253.04/64.10 | all_4_54) = all_4_53 & sum(all_4_57, all_4_56) = all_4_94 &
% 253.04/64.10 | sum(all_4_60, all_4_59) = all_4_58 & sum(all_4_60, all_4_62) = all_4_56
% 253.04/64.10 | & sum(all_4_61, all_4_58) = all_4_95 & sum(all_4_63, all_4_59) =
% 253.04/64.10 | all_4_57 & sum(all_4_63, all_4_62) = all_4_61 & sum(all_4_65, all_4_64)
% 253.04/64.10 | = all_4_96 & sum(all_4_68, all_4_67) = all_4_66 & sum(all_4_68,
% 253.04/64.10 | all_4_70) = all_4_64 & sum(all_4_69, all_4_66) = all_4_97 &
% 253.04/64.10 | sum(all_4_71, all_4_67) = all_4_65 & sum(all_4_71, all_4_70) = all_4_69
% 253.04/64.10 | & sum(all_4_73, all_4_72) = all_4_98 & sum(all_4_76, all_4_75) =
% 253.04/64.10 | all_4_74 & sum(all_4_76, all_4_78) = all_4_72 & sum(all_4_77, all_4_74)
% 253.04/64.10 | = all_4_99 & sum(all_4_79, all_4_75) = all_4_73 & sum(all_4_79,
% 253.04/64.10 | all_4_78) = all_4_77 & sum(n10, n10) = n9 & sum(n10, n9) = n8 &
% 253.04/64.10 | sum(n10, n8) = n7 & sum(n10, n7) = n6 & sum(n10, n6) = n5 & sum(n10,
% 253.04/64.10 | n5) = n4 & sum(n10, n4) = n3 & sum(n10, n3) = n2 & sum(n10, n2) = n1
% 253.04/64.10 | & sum(n10, n1) = n0 & sum(n10, n0) = n10 & sum(n9, n10) = n8 & sum(n9,
% 253.04/64.10 | n9) = n7 & sum(n9, n8) = n6 & sum(n9, n7) = n5 & sum(n9, n6) = n4 &
% 253.04/64.10 | sum(n9, n5) = n3 & sum(n9, n4) = n2 & sum(n9, n3) = n1 & sum(n9, n2) =
% 253.04/64.10 | n0 & sum(n9, n1) = n10 & sum(n9, n0) = n9 & sum(n8, n10) = n7 & sum(n8,
% 253.04/64.10 | n9) = n6 & sum(n8, n8) = n5 & sum(n8, n7) = n4 & sum(n8, n6) = n3 &
% 253.04/64.10 | sum(n8, n5) = n2 & sum(n8, n4) = n1 & sum(n8, n3) = n0 & sum(n8, n2) =
% 253.04/64.10 | n10 & sum(n8, n1) = n9 & sum(n8, n0) = n8 & sum(n7, n10) = n6 & sum(n7,
% 253.04/64.10 | n9) = n5 & sum(n7, n8) = n4 & sum(n7, n7) = n3 & sum(n7, n6) = n2 &
% 253.04/64.10 | sum(n7, n5) = n1 & sum(n7, n4) = n0 & sum(n7, n3) = n10 & sum(n7, n2) =
% 253.04/64.10 | n9 & sum(n7, n1) = n8 & sum(n7, n0) = n7 & sum(n6, n10) = n5 & sum(n6,
% 253.04/64.10 | n9) = n4 & sum(n6, n8) = n3 & sum(n6, n7) = n2 & sum(n6, n6) = n1 &
% 253.04/64.10 | sum(n6, n5) = n0 & sum(n6, n4) = n10 & sum(n6, n3) = n9 & sum(n6, n2) =
% 253.04/64.10 | n8 & sum(n6, n1) = n7 & sum(n6, n0) = n6 & sum(n5, n10) = n4 & sum(n5,
% 253.04/64.10 | n9) = n3 & sum(n5, n8) = n2 & sum(n5, n7) = n1 & sum(n5, n6) = n0 &
% 253.04/64.10 | sum(n5, n5) = n10 & sum(n5, n4) = n9 & sum(n5, n3) = n8 & sum(n5, n2) =
% 253.04/64.10 | n7 & sum(n5, n1) = n6 & sum(n5, n0) = n5 & sum(n4, n10) = n3 & sum(n4,
% 253.04/64.10 | n9) = n2 & sum(n4, n8) = n1 & sum(n4, n7) = n0 & sum(n4, n6) = n10 &
% 253.04/64.10 | sum(n4, n5) = n9 & sum(n4, n4) = n8 & sum(n4, n3) = n7 & sum(n4, n2) =
% 253.04/64.10 | n6 & sum(n4, n1) = n5 & sum(n4, n0) = n4 & sum(n3, n10) = n2 & sum(n3,
% 253.04/64.10 | n9) = n1 & sum(n3, n8) = n0 & sum(n3, n7) = n10 & sum(n3, n6) = n9 &
% 253.04/64.10 | sum(n3, n5) = n8 & sum(n3, n4) = n7 & sum(n3, n3) = n6 & sum(n3, n2) =
% 253.04/64.10 | n5 & sum(n3, n1) = n4 & sum(n3, n0) = n3 & sum(n2, n10) = n1 & sum(n2,
% 253.04/64.10 | n9) = n0 & sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6) = n8 &
% 253.04/64.10 | sum(n2, n5) = n7 & sum(n2, n4) = n6 & sum(n2, n3) = n5 & sum(n2, n2) =
% 253.04/64.10 | n4 & sum(n2, n1) = n3 & sum(n2, n0) = n2 & sum(n1, n10) = n0 & sum(n1,
% 253.04/64.10 | n9) = n10 & sum(n1, n8) = n9 & sum(n1, n7) = n8 & sum(n1, n6) = n7 &
% 253.04/64.10 | sum(n1, n5) = n6 & sum(n1, n4) = n5 & sum(n1, n3) = n4 & sum(n1, n2) =
% 253.04/64.10 | n3 & sum(n1, n1) = n2 & sum(n1, n0) = n1 & sum(n0, n10) = n10 & sum(n0,
% 253.04/64.10 | n9) = n9 & sum(n0, n8) = n8 & sum(n0, n7) = n7 & sum(n0, n6) = n6 &
% 253.04/64.10 | sum(n0, n5) = n5 & sum(n0, n4) = n4 & sum(n0, n3) = n3 & sum(n0, n2) =
% 253.04/64.10 | n2 & sum(n0, n1) = n1 & sum(n0, n0) = n0 & $i(all_4_0) & $i(all_4_1) &
% 253.04/64.10 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) &
% 253.04/64.10 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) &
% 253.04/64.10 | $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) &
% 253.04/64.10 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) &
% 253.04/64.10 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) &
% 253.04/64.10 | $i(all_4_24) & $i(all_4_25) & $i(all_4_26) & $i(all_4_27) &
% 253.04/64.10 | $i(all_4_28) & $i(all_4_29) & $i(all_4_30) & $i(all_4_31) &
% 253.04/64.10 | $i(all_4_32) & $i(all_4_33) & $i(all_4_34) & $i(all_4_35) &
% 253.04/64.10 | $i(all_4_36) & $i(all_4_37) & $i(all_4_38) & $i(all_4_39) &
% 253.04/64.10 | $i(all_4_40) & $i(all_4_41) & $i(all_4_42) & $i(all_4_43) &
% 253.04/64.10 | $i(all_4_44) & $i(all_4_45) & $i(all_4_46) & $i(all_4_47) &
% 253.04/64.10 | $i(all_4_48) & $i(all_4_49) & $i(all_4_50) & $i(all_4_51) &
% 253.04/64.10 | $i(all_4_52) & $i(all_4_53) & $i(all_4_54) & $i(all_4_55) &
% 253.04/64.10 | $i(all_4_56) & $i(all_4_57) & $i(all_4_58) & $i(all_4_59) &
% 253.04/64.10 | $i(all_4_60) & $i(all_4_61) & $i(all_4_62) & $i(all_4_63) &
% 253.04/64.10 | $i(all_4_64) & $i(all_4_65) & $i(all_4_66) & $i(all_4_67) &
% 253.04/64.10 | $i(all_4_68) & $i(all_4_69) & $i(all_4_70) & $i(all_4_71) &
% 253.04/64.10 | $i(all_4_72) & $i(all_4_73) & $i(all_4_74) & $i(all_4_75) &
% 253.04/64.10 | $i(all_4_76) & $i(all_4_77) & $i(all_4_78) & $i(all_4_79) &
% 253.04/64.10 | $i(all_4_80) & $i(all_4_81) & $i(all_4_82) & $i(all_4_83) &
% 253.04/64.10 | $i(all_4_84) & $i(all_4_85) & $i(all_4_86) & $i(all_4_87) &
% 253.04/64.10 | $i(all_4_88) & $i(all_4_89) & $i(all_4_90) & $i(all_4_91) &
% 253.04/64.10 | $i(all_4_92) & $i(all_4_93) & $i(all_4_94) & $i(all_4_95) &
% 253.04/64.10 | $i(all_4_96) & $i(all_4_97) & $i(all_4_98) & $i(all_4_99) &
% 253.04/64.10 | $i(all_4_100) & $i(all_4_101) & ( ~ (all_4_80 = all_4_81) | ~
% 253.04/64.10 | (all_4_82 = all_4_83) | ~ (all_4_84 = all_4_85) | ~ (all_4_86 =
% 253.04/64.10 | all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) |
% 253.04/64.10 | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 253.04/64.10 | all_4_97) | ~ (all_4_98 = all_4_99)) & (all_4_100 = n10 |
% 253.04/64.10 | all_4_100 = n9 | all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 253.04/64.10 | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 253.04/64.10 | all_4_100 = n1 | all_4_100 = n0) & (all_4_101 = n10 | all_4_101 = n9
% 253.04/64.10 | | all_4_101 = n8 | all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 253.04/64.10 | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 253.04/64.10 | all_4_101 = n0)
% 253.04/64.10 |
% 253.04/64.10 | ALPHA: (5) implies:
% 253.04/64.11 | (6) sum(n0, n0) = n0
% 253.04/64.11 | (7) sum(n0, n1) = n1
% 253.04/64.11 | (8) sum(n0, n2) = n2
% 253.04/64.11 | (9) sum(n0, n3) = n3
% 253.04/64.11 | (10) sum(n0, n4) = n4
% 253.04/64.11 | (11) sum(n0, n5) = n5
% 253.04/64.11 | (12) sum(n0, n6) = n6
% 253.04/64.11 | (13) sum(n0, n7) = n7
% 253.04/64.11 | (14) sum(n0, n8) = n8
% 253.04/64.11 | (15) sum(n0, n9) = n9
% 253.04/64.11 | (16) sum(n0, n10) = n10
% 253.04/64.11 | (17) sum(n1, n0) = n1
% 253.04/64.11 | (18) sum(n1, n1) = n2
% 253.04/64.11 | (19) sum(n1, n2) = n3
% 253.04/64.11 | (20) sum(n1, n3) = n4
% 253.04/64.11 | (21) sum(n1, n4) = n5
% 253.04/64.11 | (22) sum(n1, n5) = n6
% 253.04/64.11 | (23) sum(n1, n6) = n7
% 253.04/64.11 | (24) sum(n1, n7) = n8
% 253.04/64.11 | (25) sum(n1, n8) = n9
% 253.04/64.11 | (26) sum(n1, n9) = n10
% 253.04/64.11 | (27) sum(n1, n10) = n0
% 253.04/64.11 | (28) sum(n2, n0) = n2
% 253.04/64.11 | (29) sum(n2, n1) = n3
% 253.04/64.11 | (30) sum(n2, n2) = n4
% 253.04/64.11 | (31) sum(n2, n3) = n5
% 253.04/64.11 | (32) sum(n2, n4) = n6
% 253.04/64.11 | (33) sum(n2, n5) = n7
% 253.04/64.11 | (34) sum(n2, n6) = n8
% 253.04/64.11 | (35) sum(n2, n7) = n9
% 253.04/64.11 | (36) sum(n2, n8) = n10
% 253.04/64.11 | (37) sum(n2, n9) = n0
% 253.04/64.11 | (38) sum(n2, n10) = n1
% 253.04/64.11 | (39) sum(n3, n0) = n3
% 253.04/64.11 | (40) sum(n3, n1) = n4
% 253.04/64.11 | (41) sum(n3, n2) = n5
% 253.04/64.11 | (42) sum(n3, n3) = n6
% 253.04/64.11 | (43) sum(n3, n4) = n7
% 253.04/64.11 | (44) sum(n3, n5) = n8
% 253.04/64.12 | (45) sum(n3, n6) = n9
% 253.04/64.12 | (46) sum(n3, n7) = n10
% 253.04/64.12 | (47) sum(n3, n8) = n0
% 253.04/64.12 | (48) sum(n3, n9) = n1
% 253.04/64.12 | (49) sum(n3, n10) = n2
% 253.04/64.12 | (50) sum(n4, n0) = n4
% 253.04/64.12 | (51) sum(n4, n1) = n5
% 253.04/64.12 | (52) sum(n4, n2) = n6
% 253.04/64.12 | (53) sum(n4, n3) = n7
% 253.04/64.12 | (54) sum(n4, n4) = n8
% 253.04/64.12 | (55) sum(n4, n5) = n9
% 253.04/64.12 | (56) sum(n4, n6) = n10
% 253.04/64.12 | (57) sum(n4, n7) = n0
% 253.04/64.12 | (58) sum(n4, n8) = n1
% 253.04/64.12 | (59) sum(n4, n9) = n2
% 253.04/64.12 | (60) sum(n4, n10) = n3
% 253.04/64.12 | (61) sum(n5, n0) = n5
% 253.04/64.12 | (62) sum(n5, n1) = n6
% 253.04/64.12 | (63) sum(n5, n2) = n7
% 253.04/64.12 | (64) sum(n5, n3) = n8
% 253.04/64.12 | (65) sum(n5, n4) = n9
% 253.04/64.12 | (66) sum(n5, n5) = n10
% 253.04/64.12 | (67) sum(n5, n6) = n0
% 253.04/64.12 | (68) sum(n5, n7) = n1
% 253.04/64.12 | (69) sum(n5, n8) = n2
% 253.04/64.12 | (70) sum(n5, n9) = n3
% 253.04/64.12 | (71) sum(n5, n10) = n4
% 253.04/64.12 | (72) sum(n6, n0) = n6
% 253.04/64.12 | (73) sum(n6, n1) = n7
% 253.04/64.12 | (74) sum(n6, n2) = n8
% 253.04/64.12 | (75) sum(n6, n3) = n9
% 253.04/64.12 | (76) sum(n6, n4) = n10
% 253.04/64.12 | (77) sum(n6, n5) = n0
% 253.04/64.12 | (78) sum(n6, n6) = n1
% 253.04/64.12 | (79) sum(n6, n7) = n2
% 253.04/64.12 | (80) sum(n6, n8) = n3
% 253.04/64.12 | (81) sum(n6, n9) = n4
% 253.04/64.12 | (82) sum(n6, n10) = n5
% 253.04/64.12 | (83) sum(n7, n0) = n7
% 253.04/64.12 | (84) sum(n7, n1) = n8
% 253.04/64.12 | (85) sum(n7, n2) = n9
% 253.04/64.12 | (86) sum(n7, n3) = n10
% 253.04/64.12 | (87) sum(n7, n4) = n0
% 253.04/64.12 | (88) sum(n7, n5) = n1
% 253.04/64.12 | (89) sum(n7, n6) = n2
% 253.04/64.12 | (90) sum(n7, n7) = n3
% 253.04/64.12 | (91) sum(n7, n8) = n4
% 253.04/64.12 | (92) sum(n7, n9) = n5
% 253.04/64.12 | (93) sum(n7, n10) = n6
% 253.04/64.12 | (94) sum(n8, n0) = n8
% 253.04/64.12 | (95) sum(n8, n1) = n9
% 253.04/64.12 | (96) sum(n8, n2) = n10
% 253.04/64.12 | (97) sum(n8, n3) = n0
% 253.04/64.12 | (98) sum(n8, n4) = n1
% 253.04/64.12 | (99) sum(n8, n5) = n2
% 253.04/64.12 | (100) sum(n8, n6) = n3
% 253.04/64.12 | (101) sum(n8, n7) = n4
% 253.04/64.12 | (102) sum(n8, n8) = n5
% 253.04/64.12 | (103) sum(n8, n9) = n6
% 253.04/64.12 | (104) sum(n8, n10) = n7
% 253.04/64.12 | (105) sum(n9, n0) = n9
% 253.04/64.12 | (106) sum(n9, n1) = n10
% 253.04/64.12 | (107) sum(n9, n2) = n0
% 253.04/64.12 | (108) sum(n9, n3) = n1
% 253.04/64.12 | (109) sum(n9, n4) = n2
% 253.04/64.12 | (110) sum(n9, n5) = n3
% 253.04/64.12 | (111) sum(n9, n6) = n4
% 253.04/64.12 | (112) sum(n9, n7) = n5
% 253.04/64.12 | (113) sum(n9, n8) = n6
% 253.04/64.12 | (114) sum(n9, n9) = n7
% 253.04/64.12 | (115) sum(n9, n10) = n8
% 253.04/64.13 | (116) sum(n10, n0) = n10
% 253.04/64.13 | (117) sum(n10, n1) = n0
% 253.04/64.13 | (118) sum(n10, n2) = n1
% 253.04/64.13 | (119) sum(n10, n3) = n2
% 253.04/64.13 | (120) sum(n10, n4) = n3
% 253.04/64.13 | (121) sum(n10, n5) = n4
% 253.04/64.13 | (122) sum(n10, n6) = n5
% 253.04/64.13 | (123) sum(n10, n7) = n6
% 253.04/64.13 | (124) sum(n10, n8) = n7
% 253.04/64.13 | (125) sum(n10, n9) = n8
% 253.04/64.13 | (126) sum(n10, n10) = n9
% 253.04/64.13 | (127) sum(all_4_79, all_4_78) = all_4_77
% 253.04/64.13 | (128) sum(all_4_79, all_4_75) = all_4_73
% 253.04/64.13 | (129) sum(all_4_77, all_4_74) = all_4_99
% 253.04/64.13 | (130) sum(all_4_76, all_4_78) = all_4_72
% 253.04/64.13 | (131) sum(all_4_76, all_4_75) = all_4_74
% 253.04/64.13 | (132) sum(all_4_73, all_4_72) = all_4_98
% 253.04/64.13 | (133) sum(all_4_71, all_4_70) = all_4_69
% 253.04/64.13 | (134) sum(all_4_71, all_4_67) = all_4_65
% 253.04/64.13 | (135) sum(all_4_69, all_4_66) = all_4_97
% 253.04/64.13 | (136) sum(all_4_68, all_4_70) = all_4_64
% 253.04/64.13 | (137) sum(all_4_68, all_4_67) = all_4_66
% 253.04/64.13 | (138) sum(all_4_65, all_4_64) = all_4_96
% 253.04/64.13 | (139) sum(all_4_63, all_4_62) = all_4_61
% 253.04/64.13 | (140) sum(all_4_63, all_4_59) = all_4_57
% 253.04/64.13 | (141) sum(all_4_61, all_4_58) = all_4_95
% 253.04/64.13 | (142) sum(all_4_60, all_4_62) = all_4_56
% 253.04/64.13 | (143) sum(all_4_60, all_4_59) = all_4_58
% 253.04/64.13 | (144) sum(all_4_57, all_4_56) = all_4_94
% 253.04/64.13 | (145) sum(all_4_55, all_4_54) = all_4_53
% 253.04/64.13 | (146) sum(all_4_55, all_4_51) = all_4_49
% 253.04/64.13 | (147) sum(all_4_53, all_4_50) = all_4_93
% 253.04/64.13 | (148) sum(all_4_52, all_4_54) = all_4_48
% 253.04/64.13 | (149) sum(all_4_52, all_4_51) = all_4_50
% 253.04/64.13 | (150) sum(all_4_49, all_4_48) = all_4_92
% 253.04/64.13 | (151) sum(all_4_47, all_4_46) = all_4_45
% 253.04/64.13 | (152) sum(all_4_47, all_4_43) = all_4_41
% 253.04/64.13 | (153) sum(all_4_45, all_4_42) = all_4_91
% 253.04/64.13 | (154) sum(all_4_44, all_4_46) = all_4_40
% 253.04/64.13 | (155) sum(all_4_44, all_4_43) = all_4_42
% 253.04/64.13 | (156) sum(all_4_41, all_4_40) = all_4_90
% 253.04/64.13 | (157) sum(all_4_39, all_4_38) = all_4_37
% 253.04/64.13 | (158) sum(all_4_39, all_4_35) = all_4_33
% 253.04/64.13 | (159) sum(all_4_37, all_4_34) = all_4_89
% 253.04/64.13 | (160) sum(all_4_36, all_4_38) = all_4_32
% 253.04/64.13 | (161) sum(all_4_36, all_4_35) = all_4_34
% 253.04/64.13 | (162) sum(all_4_33, all_4_32) = all_4_88
% 253.04/64.13 | (163) sum(all_4_31, all_4_30) = all_4_29
% 253.04/64.13 | (164) sum(all_4_31, all_4_27) = all_4_25
% 253.04/64.13 | (165) sum(all_4_29, all_4_26) = all_4_87
% 253.04/64.13 | (166) sum(all_4_28, all_4_30) = all_4_24
% 253.04/64.13 | (167) sum(all_4_28, all_4_27) = all_4_26
% 253.04/64.13 | (168) sum(all_4_25, all_4_24) = all_4_86
% 253.04/64.13 | (169) sum(all_4_23, all_4_22) = all_4_21
% 253.04/64.13 | (170) sum(all_4_23, all_4_19) = all_4_17
% 253.04/64.13 | (171) sum(all_4_21, all_4_18) = all_4_85
% 253.04/64.13 | (172) sum(all_4_20, all_4_22) = all_4_16
% 253.04/64.13 | (173) sum(all_4_20, all_4_19) = all_4_18
% 253.04/64.13 | (174) sum(all_4_17, all_4_16) = all_4_84
% 253.04/64.13 | (175) sum(all_4_15, all_4_14) = all_4_13
% 253.04/64.13 | (176) sum(all_4_15, all_4_11) = all_4_9
% 253.04/64.13 | (177) sum(all_4_13, all_4_10) = all_4_83
% 253.04/64.13 | (178) sum(all_4_12, all_4_14) = all_4_8
% 253.04/64.13 | (179) sum(all_4_12, all_4_11) = all_4_10
% 253.04/64.13 | (180) sum(all_4_9, all_4_8) = all_4_82
% 253.04/64.13 | (181) sum(all_4_7, all_4_6) = all_4_5
% 253.04/64.13 | (182) sum(all_4_7, all_4_3) = all_4_1
% 253.04/64.13 | (183) sum(all_4_5, all_4_2) = all_4_81
% 253.04/64.13 | (184) sum(all_4_4, all_4_6) = all_4_0
% 253.04/64.13 | (185) sum(all_4_4, all_4_3) = all_4_2
% 253.04/64.13 | (186) sum(all_4_1, all_4_0) = all_4_80
% 253.04/64.13 | (187) succ(n0) = n1
% 253.04/64.13 | (188) succ(n1) = n2
% 253.04/64.13 | (189) succ(n2) = n3
% 253.04/64.13 | (190) succ(n3) = n4
% 253.04/64.13 | (191) succ(n4) = n5
% 253.04/64.13 | (192) succ(n5) = n6
% 253.04/64.13 | (193) succ(n6) = n7
% 253.04/64.13 | (194) succ(n7) = n8
% 253.04/64.13 | (195) succ(n8) = n9
% 253.04/64.13 | (196) succ(n9) = n10
% 253.04/64.13 | (197) succ(n10) = n0
% 253.04/64.14 | (198) succ(all_4_101) = all_4_75
% 253.04/64.14 | (199) succ(all_4_100) = all_4_78
% 253.04/64.14 | (200) succ(all_4_99) = all_4_67
% 253.04/64.14 | (201) succ(all_4_98) = all_4_70
% 253.04/64.14 | (202) succ(all_4_97) = all_4_59
% 253.04/64.14 | (203) succ(all_4_96) = all_4_62
% 253.04/64.14 | (204) succ(all_4_95) = all_4_51
% 253.04/64.14 | (205) succ(all_4_94) = all_4_54
% 253.04/64.14 | (206) succ(all_4_93) = all_4_43
% 253.04/64.14 | (207) succ(all_4_92) = all_4_46
% 253.04/64.14 | (208) succ(all_4_91) = all_4_35
% 253.04/64.14 | (209) succ(all_4_90) = all_4_38
% 253.04/64.14 | (210) succ(all_4_89) = all_4_27
% 253.04/64.14 | (211) succ(all_4_88) = all_4_30
% 253.04/64.14 | (212) succ(all_4_87) = all_4_19
% 253.04/64.14 | (213) succ(all_4_86) = all_4_22
% 253.04/64.14 | (214) succ(all_4_85) = all_4_11
% 253.04/64.14 | (215) succ(all_4_84) = all_4_14
% 253.04/64.14 | (216) succ(all_4_83) = all_4_3
% 253.04/64.14 | (217) succ(all_4_82) = all_4_6
% 253.04/64.14 | (218) pred(n0) = n10
% 253.04/64.14 | (219) pred(n1) = n0
% 253.04/64.14 | (220) pred(n2) = n1
% 253.04/64.14 | (221) pred(n3) = n2
% 253.04/64.14 | (222) pred(n4) = n3
% 253.04/64.14 | (223) pred(n5) = n4
% 253.04/64.14 | (224) pred(n6) = n5
% 253.04/64.14 | (225) pred(n7) = n6
% 253.04/64.14 | (226) pred(n8) = n7
% 253.04/64.14 | (227) pred(n9) = n8
% 253.04/64.14 | (228) pred(n10) = n9
% 253.04/64.14 | (229) pred(all_4_101) = all_4_79
% 253.04/64.14 | (230) pred(all_4_100) = all_4_76
% 253.04/64.14 | (231) pred(all_4_99) = all_4_71
% 253.04/64.14 | (232) pred(all_4_98) = all_4_68
% 253.04/64.14 | (233) pred(all_4_97) = all_4_63
% 253.04/64.14 | (234) pred(all_4_96) = all_4_60
% 253.04/64.14 | (235) pred(all_4_95) = all_4_55
% 253.04/64.14 | (236) pred(all_4_94) = all_4_52
% 253.04/64.14 | (237) pred(all_4_93) = all_4_47
% 253.04/64.14 | (238) pred(all_4_92) = all_4_44
% 253.04/64.14 | (239) pred(all_4_91) = all_4_39
% 253.04/64.14 | (240) pred(all_4_90) = all_4_36
% 253.04/64.14 | (241) pred(all_4_89) = all_4_31
% 253.04/64.14 | (242) pred(all_4_88) = all_4_28
% 253.04/64.14 | (243) pred(all_4_87) = all_4_23
% 253.04/64.14 | (244) pred(all_4_86) = all_4_20
% 253.04/64.14 | (245) pred(all_4_85) = all_4_15
% 253.04/64.14 | (246) pred(all_4_84) = all_4_12
% 253.04/64.14 | (247) pred(all_4_83) = all_4_7
% 253.04/64.14 | (248) pred(all_4_82) = all_4_4
% 253.04/64.14 | (249) all_4_101 = n10 | all_4_101 = n9 | all_4_101 = n8 | all_4_101 = n7 |
% 253.04/64.14 | all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 253.04/64.14 | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 253.04/64.14 | (250) all_4_100 = n10 | all_4_100 = n9 | all_4_100 = n8 | all_4_100 = n7 |
% 253.04/64.14 | all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 253.04/64.14 | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.04/64.14 | (251) ~ (all_4_80 = all_4_81) | ~ (all_4_82 = all_4_83) | ~ (all_4_84 =
% 253.04/64.14 | all_4_85) | ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) |
% 253.04/64.14 | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 253.04/64.14 | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 253.04/64.14 |
% 253.04/64.14 | BETA: splitting (249) gives:
% 253.04/64.14 |
% 253.04/64.14 | Case 1:
% 253.04/64.14 | |
% 253.04/64.14 | | (252) all_4_101 = n10
% 253.04/64.14 | |
% 253.04/64.14 | | REDUCE: (229), (252) imply:
% 253.04/64.14 | | (253) pred(n10) = all_4_79
% 253.04/64.14 | |
% 253.04/64.14 | | REDUCE: (198), (252) imply:
% 253.04/64.14 | | (254) succ(n10) = all_4_75
% 253.04/64.14 | |
% 253.04/64.14 | | GROUND_INST: instantiating (2) with n0, all_4_75, n10, simplifying with
% 253.04/64.14 | | (197), (254) gives:
% 253.04/64.14 | | (255) all_4_75 = n0
% 253.04/64.14 | |
% 253.04/64.14 | | GROUND_INST: instantiating (3) with n9, all_4_79, n10, simplifying with
% 253.04/64.14 | | (228), (253) gives:
% 253.04/64.14 | | (256) all_4_79 = n9
% 253.04/64.14 | |
% 253.04/64.14 | | REDUCE: (131), (255) imply:
% 253.04/64.14 | | (257) sum(all_4_76, n0) = all_4_74
% 253.04/64.14 | |
% 253.04/64.14 | | REDUCE: (128), (255), (256) imply:
% 253.04/64.14 | | (258) sum(n9, n0) = all_4_73
% 253.04/64.14 | |
% 253.04/64.14 | | REDUCE: (127), (256) imply:
% 253.04/64.14 | | (259) sum(n9, all_4_78) = all_4_77
% 253.04/64.14 | |
% 253.04/64.15 | | GROUND_INST: instantiating (4) with n9, all_4_73, n0, n9, simplifying with
% 253.04/64.15 | | (105), (258) gives:
% 253.04/64.15 | | (260) all_4_73 = n9
% 253.04/64.15 | |
% 253.04/64.15 | | REDUCE: (132), (260) imply:
% 253.04/64.15 | | (261) sum(n9, all_4_72) = all_4_98
% 253.04/64.15 | |
% 253.04/64.15 | | BETA: splitting (251) gives:
% 253.04/64.15 | |
% 253.04/64.15 | | Case 1:
% 253.04/64.15 | | |
% 253.04/64.15 | | | (262) ~ (all_4_80 = all_4_81)
% 253.04/64.15 | | |
% 253.04/64.15 | | | BETA: splitting (250) gives:
% 253.04/64.15 | | |
% 253.04/64.15 | | | Case 1:
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | (263) all_4_100 = n10
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | REDUCE: (230), (263) imply:
% 253.04/64.15 | | | | (264) pred(n10) = all_4_76
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | REDUCE: (199), (263) imply:
% 253.04/64.15 | | | | (265) succ(n10) = all_4_78
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | GROUND_INST: instantiating (2) with n0, all_4_78, n10, simplifying with
% 253.04/64.15 | | | | (197), (265) gives:
% 253.04/64.15 | | | | (266) all_4_78 = n0
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | GROUND_INST: instantiating (3) with n9, all_4_76, n10, simplifying with
% 253.04/64.15 | | | | (228), (264) gives:
% 253.04/64.15 | | | | (267) all_4_76 = n9
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | REDUCE: (130), (266), (267) imply:
% 253.04/64.15 | | | | (268) sum(n9, n0) = all_4_72
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | REDUCE: (257), (267) imply:
% 253.04/64.15 | | | | (269) sum(n9, n0) = all_4_74
% 253.04/64.15 | | | |
% 253.04/64.15 | | | | REDUCE: (259), (266) imply:
% 253.32/64.15 | | | | (270) sum(n9, n0) = all_4_77
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n0, n9, simplifying
% 253.32/64.15 | | | | with (105), (269) gives:
% 253.32/64.15 | | | | (271) all_4_74 = n9
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n0, n9,
% 253.32/64.15 | | | | simplifying with (268), (269) gives:
% 253.32/64.15 | | | | (272) all_4_72 = all_4_74
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n0, n9,
% 253.32/64.15 | | | | simplifying with (268), (270) gives:
% 253.32/64.15 | | | | (273) all_4_72 = all_4_77
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | COMBINE_EQS: (272), (273) imply:
% 253.32/64.15 | | | | (274) all_4_74 = all_4_77
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | SIMP: (274) implies:
% 253.32/64.15 | | | | (275) all_4_74 = all_4_77
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | COMBINE_EQS: (271), (275) imply:
% 253.32/64.15 | | | | (276) all_4_77 = n9
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | COMBINE_EQS: (273), (276) imply:
% 253.32/64.15 | | | | (277) all_4_72 = n9
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | REDUCE: (129), (271), (276) imply:
% 253.32/64.15 | | | | (278) sum(n9, n9) = all_4_99
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | REDUCE: (261), (277) imply:
% 253.32/64.15 | | | | (279) sum(n9, n9) = all_4_98
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n9, n9, simplifying
% 253.32/64.15 | | | | with (114), (279) gives:
% 253.32/64.15 | | | | (280) all_4_98 = n7
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n9, n9,
% 253.32/64.15 | | | | simplifying with (278), (279) gives:
% 253.32/64.15 | | | | (281) all_4_98 = all_4_99
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | COMBINE_EQS: (280), (281) imply:
% 253.32/64.15 | | | | (282) all_4_99 = n7
% 253.32/64.15 | | | |
% 253.32/64.15 | | | | SIMP: (282) implies:
% 253.32/64.15 | | | | (283) all_4_99 = n7
% 253.34/64.15 | | | |
% 253.34/64.16 | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68), (80),
% 253.34/64.16 | | | | (92), (105), (133), (134), (135), (136), (137), (138), (139),
% 253.34/64.16 | | | | (140), (141), (142), (143), (144), (145), (146), (147),
% 253.34/64.16 | | | | (148), (149), (150), (151), (152), (153), (154), (155),
% 253.34/64.16 | | | | (156), (157), (158), (159), (160), (161), (162), (163),
% 253.34/64.16 | | | | (164), (165), (166), (167), (168), (169), (170), (171),
% 253.34/64.16 | | | | (172), (173), (174), (175), (176), (177), (178), (179),
% 253.34/64.16 | | | | (180), (181), (182), (183), (184), (185), (186), (189),
% 253.34/64.16 | | | | (193), (194), (195), (197), (200), (201), (202), (203),
% 253.34/64.16 | | | | (204), (205), (206), (207), (208), (209), (210), (211),
% 253.34/64.16 | | | | (212), (213), (214), (215), (216), (217), (220), (224),
% 253.34/64.16 | | | | (225), (226), (228), (231), (232), (233), (234), (235),
% 253.34/64.16 | | | | (236), (237), (238), (239), (240), (241), (242), (243),
% 253.34/64.16 | | | | (244), (245), (246), (247), (248), (262), (278), (280), (283)
% 253.34/64.16 | | | | are inconsistent by sub-proof #211.
% 253.34/64.16 | | | |
% 253.34/64.16 | | | Case 2:
% 253.34/64.16 | | | |
% 253.34/64.16 | | | | (284) all_4_100 = n9 | all_4_100 = n8 | all_4_100 = n7 | all_4_100 =
% 253.34/64.16 | | | | n6 | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 253.34/64.16 | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.34/64.16 | | | |
% 253.34/64.16 | | | | BETA: splitting (284) gives:
% 253.34/64.16 | | | |
% 253.34/64.16 | | | | Case 1:
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | (285) all_4_100 = n9
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (230), (285) imply:
% 253.34/64.16 | | | | | (286) pred(n9) = all_4_76
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (199), (285) imply:
% 253.34/64.16 | | | | | (287) succ(n9) = all_4_78
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 253.34/64.16 | | | | | with (196), (287) gives:
% 253.34/64.16 | | | | | (288) all_4_78 = n10
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying with
% 253.34/64.16 | | | | | (227), (286) gives:
% 253.34/64.16 | | | | | (289) all_4_76 = n8
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (130), (288), (289) imply:
% 253.34/64.16 | | | | | (290) sum(n8, n10) = all_4_72
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (257), (289) imply:
% 253.34/64.16 | | | | | (291) sum(n8, n0) = all_4_74
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (259), (288) imply:
% 253.34/64.16 | | | | | (292) sum(n9, n10) = all_4_77
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n0, n8, simplifying
% 253.34/64.16 | | | | | with (94), (291) gives:
% 253.34/64.16 | | | | | (293) all_4_74 = n8
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | GROUND_INST: instantiating (4) with n7, all_4_72, n10, n8, simplifying
% 253.34/64.16 | | | | | with (104), (290) gives:
% 253.34/64.16 | | | | | (294) all_4_72 = n7
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n10, n9, simplifying
% 253.34/64.16 | | | | | with (115), (292) gives:
% 253.34/64.16 | | | | | (295) all_4_77 = n8
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (129), (293), (295) imply:
% 253.34/64.16 | | | | | (296) sum(n8, n8) = all_4_99
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | REDUCE: (261), (294) imply:
% 253.34/64.16 | | | | | (297) sum(n9, n7) = all_4_98
% 253.34/64.16 | | | | |
% 253.34/64.16 | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8, simplifying
% 253.34/64.16 | | | | | with (102), (296) gives:
% 253.34/64.17 | | | | | (298) all_4_99 = n5
% 253.34/64.17 | | | | |
% 253.34/64.17 | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n7, n9, simplifying
% 253.34/64.17 | | | | | with (112), (297) gives:
% 253.34/64.17 | | | | | (299) all_4_98 = n5
% 253.34/64.17 | | | | |
% 253.34/64.17 | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78), (90),
% 253.34/64.17 | | | | | (104), (126), (133), (134), (135), (136), (137), (138),
% 253.34/64.17 | | | | | (139), (140), (141), (142), (143), (144), (145), (146),
% 253.34/64.17 | | | | | (147), (148), (149), (150), (151), (152), (153), (154),
% 253.34/64.17 | | | | | (155), (156), (157), (158), (159), (160), (161), (162),
% 253.34/64.17 | | | | | (163), (164), (165), (166), (167), (168), (169), (170),
% 253.34/64.17 | | | | | (171), (172), (173), (174), (175), (176), (177), (178),
% 253.34/64.17 | | | | | (179), (180), (181), (182), (183), (184), (185), (186),
% 253.34/64.17 | | | | | (188), (190), (191), (192), (196), (200), (201), (202),
% 253.34/64.17 | | | | | (203), (204), (205), (206), (207), (208), (209), (210),
% 253.34/64.17 | | | | | (211), (212), (213), (214), (215), (216), (217), (219),
% 253.34/64.17 | | | | | (221), (222), (223), (227), (231), (232), (233), (234),
% 253.34/64.17 | | | | | (235), (236), (237), (238), (239), (240), (241), (242),
% 253.34/64.17 | | | | | (243), (244), (245), (246), (247), (248), (262), (296),
% 253.34/64.17 | | | | | (298), (299) are inconsistent by sub-proof #210.
% 253.34/64.17 | | | | |
% 253.34/64.17 | | | | Case 2:
% 253.34/64.17 | | | | |
% 253.34/64.17 | | | | | (300) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 | all_4_100
% 253.34/64.17 | | | | | = n5 | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 253.34/64.17 | | | | | all_4_100 = n1 | all_4_100 = n0
% 253.34/64.17 | | | | |
% 253.34/64.17 | | | | | BETA: splitting (300) gives:
% 253.34/64.17 | | | | |
% 253.34/64.17 | | | | | Case 1:
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | (301) all_4_100 = n8
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (230), (301) imply:
% 253.34/64.17 | | | | | | (302) pred(n8) = all_4_76
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (199), (301) imply:
% 253.34/64.17 | | | | | | (303) succ(n8) = all_4_78
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8, simplifying
% 253.34/64.17 | | | | | | with (195), (303) gives:
% 253.34/64.17 | | | | | | (304) all_4_78 = n9
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8, simplifying
% 253.34/64.17 | | | | | | with (226), (302) gives:
% 253.34/64.17 | | | | | | (305) all_4_76 = n7
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (130), (304), (305) imply:
% 253.34/64.17 | | | | | | (306) sum(n7, n9) = all_4_72
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (257), (305) imply:
% 253.34/64.17 | | | | | | (307) sum(n7, n0) = all_4_74
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (259), (304) imply:
% 253.34/64.17 | | | | | | (308) sum(n9, n9) = all_4_77
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n0, n7,
% 253.34/64.17 | | | | | | simplifying with (83), (307) gives:
% 253.34/64.17 | | | | | | (309) all_4_74 = n7
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 253.34/64.17 | | | | | | simplifying with (92), (306) gives:
% 253.34/64.17 | | | | | | (310) all_4_72 = n5
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n9, n9,
% 253.34/64.17 | | | | | | simplifying with (114), (308) gives:
% 253.34/64.17 | | | | | | (311) all_4_77 = n7
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (129), (309), (311) imply:
% 253.34/64.17 | | | | | | (312) sum(n7, n7) = all_4_99
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REDUCE: (261), (310) imply:
% 253.34/64.17 | | | | | | (313) sum(n9, n5) = all_4_98
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 253.34/64.17 | | | | | | simplifying with (90), (312) gives:
% 253.34/64.17 | | | | | | (314) all_4_99 = n3
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n5, n9,
% 253.34/64.17 | | | | | | simplifying with (110), (313) gives:
% 253.34/64.17 | | | | | | (315) all_4_98 = n3
% 253.34/64.17 | | | | | |
% 253.34/64.17 | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78), (102),
% 253.34/64.17 | | | | | | (104), (126), (133), (134), (135), (136), (137), (138),
% 253.34/64.17 | | | | | | (139), (140), (141), (142), (143), (144), (145), (146),
% 253.34/64.17 | | | | | | (147), (148), (149), (150), (151), (152), (153), (154),
% 253.34/64.17 | | | | | | (155), (156), (157), (158), (159), (160), (161), (162),
% 253.34/64.17 | | | | | | (163), (164), (165), (166), (167), (168), (169), (170),
% 253.34/64.17 | | | | | | (171), (172), (173), (174), (175), (176), (177), (178),
% 253.34/64.17 | | | | | | (179), (180), (181), (182), (183), (184), (185), (186),
% 253.34/64.17 | | | | | | (188), (190), (191), (192), (196), (200), (201), (202),
% 253.34/64.17 | | | | | | (203), (204), (205), (206), (207), (208), (209), (210),
% 253.34/64.17 | | | | | | (211), (212), (213), (214), (215), (216), (217), (219),
% 253.34/64.17 | | | | | | (221), (222), (223), (227), (231), (232), (233), (234),
% 253.34/64.17 | | | | | | (235), (236), (237), (238), (239), (240), (241), (242),
% 253.34/64.17 | | | | | | (243), (244), (245), (246), (247), (248), (262), (312),
% 253.34/64.17 | | | | | | (314), (315) are inconsistent by sub-proof #209.
% 253.34/64.17 | | | | | |
% 253.34/64.18 | | | | | Case 2:
% 253.34/64.18 | | | | | |
% 253.34/64.18 | | | | | | (316) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 253.34/64.18 | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 253.34/64.18 | | | | | | all_4_100 = n1 | all_4_100 = n0
% 253.34/64.18 | | | | | |
% 253.34/64.18 | | | | | | BETA: splitting (316) gives:
% 253.34/64.18 | | | | | |
% 253.34/64.18 | | | | | | Case 1:
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | (317) all_4_100 = n7
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (230), (317) imply:
% 253.34/64.18 | | | | | | | (318) pred(n7) = all_4_76
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (199), (317) imply:
% 253.34/64.18 | | | | | | | (319) succ(n7) = all_4_78
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7, simplifying
% 253.34/64.18 | | | | | | | with (194), (319) gives:
% 253.34/64.18 | | | | | | | (320) all_4_78 = n8
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7, simplifying
% 253.34/64.18 | | | | | | | with (225), (318) gives:
% 253.34/64.18 | | | | | | | (321) all_4_76 = n6
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (130), (320), (321) imply:
% 253.34/64.18 | | | | | | | (322) sum(n6, n8) = all_4_72
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (257), (321) imply:
% 253.34/64.18 | | | | | | | (323) sum(n6, n0) = all_4_74
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (259), (320) imply:
% 253.34/64.18 | | | | | | | (324) sum(n9, n8) = all_4_77
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n0, n6,
% 253.34/64.18 | | | | | | | simplifying with (72), (323) gives:
% 253.34/64.18 | | | | | | | (325) all_4_74 = n6
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 253.34/64.18 | | | | | | | simplifying with (80), (322) gives:
% 253.34/64.18 | | | | | | | (326) all_4_72 = n3
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n8, n9,
% 253.34/64.18 | | | | | | | simplifying with (113), (324) gives:
% 253.34/64.18 | | | | | | | (327) all_4_77 = n6
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (129), (325), (327) imply:
% 253.34/64.18 | | | | | | | (328) sum(n6, n6) = all_4_99
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REDUCE: (261), (326) imply:
% 253.34/64.18 | | | | | | | (329) sum(n9, n3) = all_4_98
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 253.34/64.18 | | | | | | | simplifying with (78), (328) gives:
% 253.34/64.18 | | | | | | | (330) all_4_99 = n1
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n3, n9,
% 253.34/64.18 | | | | | | | simplifying with (108), (329) gives:
% 253.34/64.18 | | | | | | | (331) all_4_98 = n1
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 253.34/64.18 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 253.34/64.18 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 253.34/64.18 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 253.34/64.18 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 253.34/64.18 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 253.34/64.18 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 253.34/64.18 | | | | | | | (178), (179), (180), (181), (182), (183), (184), (185),
% 253.34/64.18 | | | | | | | (186), (188), (190), (191), (192), (196), (200), (201),
% 253.34/64.18 | | | | | | | (202), (203), (204), (205), (206), (207), (208), (209),
% 253.34/64.18 | | | | | | | (210), (211), (212), (213), (214), (215), (216), (217),
% 253.34/64.18 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 253.34/64.18 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 253.34/64.18 | | | | | | | (242), (243), (244), (245), (246), (247), (248), (262),
% 253.34/64.18 | | | | | | | (328), (330), (331) are inconsistent by sub-proof #208.
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | Case 2:
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | (332) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 253.34/64.18 | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 253.34/64.18 | | | | | | | all_4_100 = n0
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | BETA: splitting (332) gives:
% 253.34/64.18 | | | | | | |
% 253.34/64.18 | | | | | | | Case 1:
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | (333) all_4_100 = n6
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (230), (333) imply:
% 253.34/64.18 | | | | | | | | (334) pred(n6) = all_4_76
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (199), (333) imply:
% 253.34/64.18 | | | | | | | | (335) succ(n6) = all_4_78
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 253.34/64.18 | | | | | | | | simplifying with (193), (335) gives:
% 253.34/64.18 | | | | | | | | (336) all_4_78 = n7
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 253.34/64.18 | | | | | | | | simplifying with (224), (334) gives:
% 253.34/64.18 | | | | | | | | (337) all_4_76 = n5
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (130), (336), (337) imply:
% 253.34/64.18 | | | | | | | | (338) sum(n5, n7) = all_4_72
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (257), (337) imply:
% 253.34/64.18 | | | | | | | | (339) sum(n5, n0) = all_4_74
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (259), (336) imply:
% 253.34/64.18 | | | | | | | | (340) sum(n9, n7) = all_4_77
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n0, n5,
% 253.34/64.18 | | | | | | | | simplifying with (61), (339) gives:
% 253.34/64.18 | | | | | | | | (341) all_4_74 = n5
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 253.34/64.18 | | | | | | | | simplifying with (68), (338) gives:
% 253.34/64.18 | | | | | | | | (342) all_4_72 = n1
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n7, n9,
% 253.34/64.18 | | | | | | | | simplifying with (112), (340) gives:
% 253.34/64.18 | | | | | | | | (343) all_4_77 = n5
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (129), (341), (343) imply:
% 253.34/64.18 | | | | | | | | (344) sum(n5, n5) = all_4_99
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | REDUCE: (261), (342) imply:
% 253.34/64.18 | | | | | | | | (345) sum(n9, n1) = all_4_98
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 253.34/64.18 | | | | | | | | simplifying with (66), (344) gives:
% 253.34/64.18 | | | | | | | | (346) all_4_99 = n10
% 253.34/64.18 | | | | | | | |
% 253.34/64.18 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n1, n9,
% 253.34/64.18 | | | | | | | | simplifying with (106), (345) gives:
% 253.34/64.18 | | | | | | | | (347) all_4_98 = n10
% 253.34/64.18 | | | | | | | |
% 253.34/64.19 | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 253.34/64.19 | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.34/64.19 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.34/64.19 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.34/64.19 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.34/64.19 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.34/64.19 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.34/64.19 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.34/64.19 | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.34/64.19 | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 253.34/64.19 | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 253.34/64.19 | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 253.34/64.19 | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 253.34/64.19 | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 253.34/64.19 | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 253.34/64.19 | | | | | | | | (244), (245), (246), (247), (248), (262), (344),
% 253.34/64.19 | | | | | | | | (346), (347) are inconsistent by sub-proof #207.
% 253.34/64.19 | | | | | | | |
% 253.34/64.19 | | | | | | | Case 2:
% 253.34/64.19 | | | | | | | |
% 253.34/64.19 | | | | | | | | (348) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 253.34/64.19 | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.34/64.19 | | | | | | | |
% 253.34/64.19 | | | | | | | | BETA: splitting (348) gives:
% 253.34/64.19 | | | | | | | |
% 253.34/64.19 | | | | | | | | Case 1:
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | (349) all_4_100 = n5
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (230), (349) imply:
% 253.34/64.19 | | | | | | | | | (350) pred(n5) = all_4_76
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (199), (349) imply:
% 253.34/64.19 | | | | | | | | | (351) succ(n5) = all_4_78
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 253.34/64.19 | | | | | | | | | simplifying with (192), (351) gives:
% 253.34/64.19 | | | | | | | | | (352) all_4_78 = n6
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 253.34/64.19 | | | | | | | | | simplifying with (223), (350) gives:
% 253.34/64.19 | | | | | | | | | (353) all_4_76 = n4
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (130), (352), (353) imply:
% 253.34/64.19 | | | | | | | | | (354) sum(n4, n6) = all_4_72
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (257), (353) imply:
% 253.34/64.19 | | | | | | | | | (355) sum(n4, n0) = all_4_74
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (259), (352) imply:
% 253.34/64.19 | | | | | | | | | (356) sum(n9, n6) = all_4_77
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 253.34/64.19 | | | | | | | | | simplifying with (50), (355) gives:
% 253.34/64.19 | | | | | | | | | (357) all_4_74 = n4
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 253.34/64.19 | | | | | | | | | simplifying with (56), (354) gives:
% 253.34/64.19 | | | | | | | | | (358) all_4_72 = n10
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 253.34/64.19 | | | | | | | | | simplifying with (111), (356) gives:
% 253.34/64.19 | | | | | | | | | (359) all_4_77 = n4
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (129), (357), (359) imply:
% 253.34/64.19 | | | | | | | | | (360) sum(n4, n4) = all_4_99
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REDUCE: (261), (358) imply:
% 253.34/64.19 | | | | | | | | | (361) sum(n9, n10) = all_4_98
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 253.34/64.19 | | | | | | | | | simplifying with (54), (360) gives:
% 253.34/64.19 | | | | | | | | | (362) all_4_99 = n8
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 253.34/64.19 | | | | | | | | | simplifying with (115), (361) gives:
% 253.34/64.19 | | | | | | | | | (363) all_4_98 = n8
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 253.34/64.19 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.34/64.19 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.34/64.19 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.34/64.19 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.34/64.19 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.34/64.19 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.34/64.19 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.34/64.19 | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.34/64.19 | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 253.34/64.19 | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 253.34/64.19 | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 253.34/64.19 | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 253.34/64.19 | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 253.34/64.19 | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 253.34/64.19 | | | | | | | | | (244), (245), (246), (247), (248), (262), (360),
% 253.34/64.19 | | | | | | | | | (362), (363) are inconsistent by sub-proof #206.
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | Case 2:
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | (364) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 253.34/64.19 | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | BETA: splitting (364) gives:
% 253.34/64.19 | | | | | | | | |
% 253.34/64.19 | | | | | | | | | Case 1:
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | (365) all_4_100 = n4
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (230), (365) imply:
% 253.34/64.19 | | | | | | | | | | (366) pred(n4) = all_4_76
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (199), (365) imply:
% 253.34/64.19 | | | | | | | | | | (367) succ(n4) = all_4_78
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 253.34/64.19 | | | | | | | | | | simplifying with (191), (367) gives:
% 253.34/64.19 | | | | | | | | | | (368) all_4_78 = n5
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 253.34/64.19 | | | | | | | | | | simplifying with (222), (366) gives:
% 253.34/64.19 | | | | | | | | | | (369) all_4_76 = n3
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (130), (368), (369) imply:
% 253.34/64.19 | | | | | | | | | | (370) sum(n3, n5) = all_4_72
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (257), (369) imply:
% 253.34/64.19 | | | | | | | | | | (371) sum(n3, n0) = all_4_74
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (259), (368) imply:
% 253.34/64.19 | | | | | | | | | | (372) sum(n9, n5) = all_4_77
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 253.34/64.19 | | | | | | | | | | simplifying with (39), (371) gives:
% 253.34/64.19 | | | | | | | | | | (373) all_4_74 = n3
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 253.34/64.19 | | | | | | | | | | simplifying with (44), (370) gives:
% 253.34/64.19 | | | | | | | | | | (374) all_4_72 = n8
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 253.34/64.19 | | | | | | | | | | simplifying with (110), (372) gives:
% 253.34/64.19 | | | | | | | | | | (375) all_4_77 = n3
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (129), (373), (375) imply:
% 253.34/64.19 | | | | | | | | | | (376) sum(n3, n3) = all_4_99
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | REDUCE: (261), (374) imply:
% 253.34/64.19 | | | | | | | | | | (377) sum(n9, n8) = all_4_98
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 253.34/64.19 | | | | | | | | | | simplifying with (42), (376) gives:
% 253.34/64.19 | | | | | | | | | | (378) all_4_99 = n6
% 253.34/64.19 | | | | | | | | | |
% 253.34/64.19 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 253.34/64.19 | | | | | | | | | | simplifying with (113), (377) gives:
% 253.34/64.20 | | | | | | | | | | (379) all_4_98 = n6
% 253.34/64.20 | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 253.34/64.20 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.34/64.20 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.34/64.20 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.34/64.20 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.34/64.20 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.34/64.20 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.34/64.20 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.34/64.20 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.34/64.20 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 253.34/64.20 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 253.34/64.20 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 253.34/64.20 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 253.34/64.20 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 253.34/64.20 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 253.34/64.20 | | | | | | | | | | (244), (245), (246), (247), (248), (262), (376),
% 253.34/64.20 | | | | | | | | | | (378), (379) are inconsistent by sub-proof #205.
% 253.34/64.20 | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | Case 2:
% 253.34/64.20 | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | (380) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 253.34/64.20 | | | | | | | | | | all_4_100 = n0
% 253.34/64.20 | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | BETA: splitting (380) gives:
% 253.34/64.20 | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | Case 1:
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | (381) all_4_100 = n3
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (230), (381) imply:
% 253.34/64.20 | | | | | | | | | | | (382) pred(n3) = all_4_76
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (199), (381) imply:
% 253.34/64.20 | | | | | | | | | | | (383) succ(n3) = all_4_78
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 253.34/64.20 | | | | | | | | | | | simplifying with (190), (383) gives:
% 253.34/64.20 | | | | | | | | | | | (384) all_4_78 = n4
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 253.34/64.20 | | | | | | | | | | | simplifying with (221), (382) gives:
% 253.34/64.20 | | | | | | | | | | | (385) all_4_76 = n2
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (130), (384), (385) imply:
% 253.34/64.20 | | | | | | | | | | | (386) sum(n2, n4) = all_4_72
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (257), (385) imply:
% 253.34/64.20 | | | | | | | | | | | (387) sum(n2, n0) = all_4_74
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (259), (384) imply:
% 253.34/64.20 | | | | | | | | | | | (388) sum(n9, n4) = all_4_77
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 253.34/64.20 | | | | | | | | | | | simplifying with (28), (387) gives:
% 253.34/64.20 | | | | | | | | | | | (389) all_4_74 = n2
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 253.34/64.20 | | | | | | | | | | | simplifying with (32), (386) gives:
% 253.34/64.20 | | | | | | | | | | | (390) all_4_72 = n6
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 253.34/64.20 | | | | | | | | | | | simplifying with (109), (388) gives:
% 253.34/64.20 | | | | | | | | | | | (391) all_4_77 = n2
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (129), (389), (391) imply:
% 253.34/64.20 | | | | | | | | | | | (392) sum(n2, n2) = all_4_99
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | REDUCE: (261), (390) imply:
% 253.34/64.20 | | | | | | | | | | | (393) sum(n9, n6) = all_4_98
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 253.34/64.20 | | | | | | | | | | | simplifying with (30), (392) gives:
% 253.34/64.20 | | | | | | | | | | | (394) all_4_99 = n4
% 253.34/64.20 | | | | | | | | | | |
% 253.34/64.20 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 253.34/64.20 | | | | | | | | | | | simplifying with (111), (393) gives:
% 253.34/64.20 | | | | | | | | | | | (395) all_4_98 = n4
% 253.34/64.20 | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 253.57/64.20 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 253.57/64.20 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.57/64.20 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.57/64.20 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.57/64.20 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.57/64.20 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.57/64.20 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.57/64.20 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.57/64.20 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 253.57/64.20 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 253.57/64.20 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 253.57/64.20 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 253.57/64.20 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 253.57/64.20 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 253.57/64.20 | | | | | | | | | | | (244), (245), (246), (247), (248), (262), (392),
% 253.57/64.20 | | | | | | | | | | | (394), (395) are inconsistent by sub-proof #204.
% 253.57/64.20 | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | Case 2:
% 253.57/64.20 | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | (396) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.57/64.20 | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | BETA: splitting (396) gives:
% 253.57/64.20 | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | Case 1:
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | (397) all_4_100 = n2
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | REDUCE: (230), (397) imply:
% 253.57/64.20 | | | | | | | | | | | | (398) pred(n2) = all_4_76
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | REDUCE: (199), (397) imply:
% 253.57/64.20 | | | | | | | | | | | | (399) succ(n2) = all_4_78
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 253.57/64.20 | | | | | | | | | | | | simplifying with (189), (399) gives:
% 253.57/64.20 | | | | | | | | | | | | (400) all_4_78 = n3
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 253.57/64.20 | | | | | | | | | | | | simplifying with (220), (398) gives:
% 253.57/64.20 | | | | | | | | | | | | (401) all_4_76 = n1
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | REDUCE: (130), (400), (401) imply:
% 253.57/64.20 | | | | | | | | | | | | (402) sum(n1, n3) = all_4_72
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | REDUCE: (257), (401) imply:
% 253.57/64.20 | | | | | | | | | | | | (403) sum(n1, n0) = all_4_74
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.20 | | | | | | | | | | | | REDUCE: (259), (400) imply:
% 253.57/64.20 | | | | | | | | | | | | (404) sum(n9, n3) = all_4_77
% 253.57/64.20 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 253.57/64.21 | | | | | | | | | | | | simplifying with (17), (403) gives:
% 253.57/64.21 | | | | | | | | | | | | (405) all_4_74 = n1
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 253.57/64.21 | | | | | | | | | | | | simplifying with (20), (402) gives:
% 253.57/64.21 | | | | | | | | | | | | (406) all_4_72 = n4
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 253.57/64.21 | | | | | | | | | | | | simplifying with (108), (404) gives:
% 253.57/64.21 | | | | | | | | | | | | (407) all_4_77 = n1
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | REDUCE: (129), (405), (407) imply:
% 253.57/64.21 | | | | | | | | | | | | (408) sum(n1, n1) = all_4_99
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | REDUCE: (261), (406) imply:
% 253.57/64.21 | | | | | | | | | | | | (409) sum(n9, n4) = all_4_98
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 253.57/64.21 | | | | | | | | | | | | simplifying with (18), (408) gives:
% 253.57/64.21 | | | | | | | | | | | | (410) all_4_99 = n2
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 253.57/64.21 | | | | | | | | | | | | simplifying with (109), (409) gives:
% 253.57/64.21 | | | | | | | | | | | | (411) all_4_98 = n2
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 253.57/64.21 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.57/64.21 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.57/64.21 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.57/64.21 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.57/64.21 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.57/64.21 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.57/64.21 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.57/64.21 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.57/64.21 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 253.57/64.21 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 253.57/64.21 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 253.57/64.21 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 253.57/64.21 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 253.57/64.21 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 253.57/64.21 | | | | | | | | | | | | (244), (245), (246), (247), (248), (262), (408),
% 253.57/64.21 | | | | | | | | | | | | (410), (411) are inconsistent by sub-proof #203.
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | Case 2:
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | (412) all_4_100 = n1 | all_4_100 = n0
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | BETA: splitting (412) gives:
% 253.57/64.21 | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | Case 1:
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | (413) all_4_100 = n1
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (230), (413) imply:
% 253.57/64.21 | | | | | | | | | | | | | (414) pred(n1) = all_4_76
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (199), (413) imply:
% 253.57/64.21 | | | | | | | | | | | | | (415) succ(n1) = all_4_78
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (188), (415) gives:
% 253.57/64.21 | | | | | | | | | | | | | (416) all_4_78 = n2
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (219), (414) gives:
% 253.57/64.21 | | | | | | | | | | | | | (417) all_4_76 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (130), (416), (417) imply:
% 253.57/64.21 | | | | | | | | | | | | | (418) sum(n0, n2) = all_4_72
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (257), (417) imply:
% 253.57/64.21 | | | | | | | | | | | | | (419) sum(n0, n0) = all_4_74
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (259), (416) imply:
% 253.57/64.21 | | | | | | | | | | | | | (420) sum(n9, n2) = all_4_77
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (6), (419) gives:
% 253.57/64.21 | | | | | | | | | | | | | (421) all_4_74 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (8), (418) gives:
% 253.57/64.21 | | | | | | | | | | | | | (422) all_4_72 = n2
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (107), (420) gives:
% 253.57/64.21 | | | | | | | | | | | | | (423) all_4_77 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (129), (421), (423) imply:
% 253.57/64.21 | | | | | | | | | | | | | (424) sum(n0, n0) = all_4_99
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (261), (422) imply:
% 253.57/64.21 | | | | | | | | | | | | | (425) sum(n9, n2) = all_4_98
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (6), (424) gives:
% 253.57/64.21 | | | | | | | | | | | | | (426) all_4_99 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (107), (425) gives:
% 253.57/64.21 | | | | | | | | | | | | | (427) all_4_98 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 253.57/64.21 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.57/64.21 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.57/64.21 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.57/64.21 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.57/64.21 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.57/64.21 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.57/64.21 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.57/64.21 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 253.57/64.21 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 253.57/64.21 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 253.57/64.21 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.57/64.21 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.57/64.21 | | | | | | | | | | | | | (245), (246), (247), (248), (262), (424), (426),
% 253.57/64.21 | | | | | | | | | | | | | (427) are inconsistent by sub-proof #201.
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | Case 2:
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | (428) all_4_100 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (230), (428) imply:
% 253.57/64.21 | | | | | | | | | | | | | (429) pred(n0) = all_4_76
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (199), (428) imply:
% 253.57/64.21 | | | | | | | | | | | | | (430) succ(n0) = all_4_78
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (187), (430) gives:
% 253.57/64.21 | | | | | | | | | | | | | (431) all_4_78 = n1
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (218), (429) gives:
% 253.57/64.21 | | | | | | | | | | | | | (432) all_4_76 = n10
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (130), (431), (432) imply:
% 253.57/64.21 | | | | | | | | | | | | | (433) sum(n10, n1) = all_4_72
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (257), (432) imply:
% 253.57/64.21 | | | | | | | | | | | | | (434) sum(n10, n0) = all_4_74
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (259), (431) imply:
% 253.57/64.21 | | | | | | | | | | | | | (435) sum(n9, n1) = all_4_77
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (106), (435) gives:
% 253.57/64.21 | | | | | | | | | | | | | (436) all_4_77 = n10
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (116), (434) gives:
% 253.57/64.21 | | | | | | | | | | | | | (437) all_4_74 = n10
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 253.57/64.21 | | | | | | | | | | | | | simplifying with (117), (433) gives:
% 253.57/64.21 | | | | | | | | | | | | | (438) all_4_72 = n0
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (129), (436), (437) imply:
% 253.57/64.21 | | | | | | | | | | | | | (439) sum(n10, n10) = all_4_99
% 253.57/64.21 | | | | | | | | | | | | |
% 253.57/64.21 | | | | | | | | | | | | | REDUCE: (261), (438) imply:
% 253.57/64.22 | | | | | | | | | | | | | (440) sum(n9, n0) = all_4_98
% 253.57/64.22 | | | | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 253.57/64.22 | | | | | | | | | | | | | simplifying with (105), (440) gives:
% 253.57/64.22 | | | | | | | | | | | | | (441) all_4_98 = n9
% 253.57/64.22 | | | | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 253.57/64.22 | | | | | | | | | | | | | simplifying with (126), (439) gives:
% 253.57/64.22 | | | | | | | | | | | | | (442) all_4_99 = n9
% 253.57/64.22 | | | | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 253.57/64.22 | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 253.57/64.22 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.57/64.22 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.57/64.22 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.57/64.22 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.57/64.22 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.57/64.22 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.57/64.22 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 253.57/64.22 | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 253.57/64.22 | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 253.57/64.22 | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 253.57/64.22 | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 253.57/64.22 | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 253.57/64.22 | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 253.57/64.22 | | | | | | | | | | | | | (244), (245), (246), (247), (248), (262), (439),
% 253.57/64.22 | | | | | | | | | | | | | (441), (442) are inconsistent by sub-proof #200.
% 253.57/64.22 | | | | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | | | | End of split
% 253.57/64.22 | | | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | | | End of split
% 253.57/64.22 | | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | | End of split
% 253.57/64.22 | | | | | | | | | |
% 253.57/64.22 | | | | | | | | | End of split
% 253.57/64.22 | | | | | | | | |
% 253.57/64.22 | | | | | | | | End of split
% 253.57/64.22 | | | | | | | |
% 253.57/64.22 | | | | | | | End of split
% 253.57/64.22 | | | | | | |
% 253.57/64.22 | | | | | | End of split
% 253.57/64.22 | | | | | |
% 253.57/64.22 | | | | | End of split
% 253.57/64.22 | | | | |
% 253.57/64.22 | | | | End of split
% 253.57/64.22 | | | |
% 253.57/64.22 | | | End of split
% 253.57/64.22 | | |
% 253.57/64.22 | | Case 2:
% 253.57/64.22 | | |
% 253.57/64.22 | | | (443) ~ (all_4_82 = all_4_83) | ~ (all_4_84 = all_4_85) | ~
% 253.57/64.22 | | | (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 253.57/64.22 | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95)
% 253.57/64.22 | | | | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 253.57/64.22 | | |
% 253.57/64.22 | | | BETA: splitting (250) gives:
% 253.57/64.22 | | |
% 253.57/64.22 | | | Case 1:
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | (444) all_4_100 = n10
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (230), (444) imply:
% 253.57/64.22 | | | | (445) pred(n10) = all_4_76
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (199), (444) imply:
% 253.57/64.22 | | | | (446) succ(n10) = all_4_78
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (2) with n0, all_4_78, n10, simplifying with
% 253.57/64.22 | | | | (197), (446) gives:
% 253.57/64.22 | | | | (447) all_4_78 = n0
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (3) with n9, all_4_76, n10, simplifying with
% 253.57/64.22 | | | | (228), (445) gives:
% 253.57/64.22 | | | | (448) all_4_76 = n9
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (130), (447), (448) imply:
% 253.57/64.22 | | | | (449) sum(n9, n0) = all_4_72
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (257), (448) imply:
% 253.57/64.22 | | | | (450) sum(n9, n0) = all_4_74
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (259), (447) imply:
% 253.57/64.22 | | | | (451) sum(n9, n0) = all_4_77
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n0, n9, simplifying
% 253.57/64.22 | | | | with (105), (450) gives:
% 253.57/64.22 | | | | (452) all_4_74 = n9
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n0, n9,
% 253.57/64.22 | | | | simplifying with (449), (450) gives:
% 253.57/64.22 | | | | (453) all_4_72 = all_4_74
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n0, n9,
% 253.57/64.22 | | | | simplifying with (449), (451) gives:
% 253.57/64.22 | | | | (454) all_4_72 = all_4_77
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (453), (454) imply:
% 253.57/64.22 | | | | (455) all_4_74 = all_4_77
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | SIMP: (455) implies:
% 253.57/64.22 | | | | (456) all_4_74 = all_4_77
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (452), (456) imply:
% 253.57/64.22 | | | | (457) all_4_77 = n9
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (454), (457) imply:
% 253.57/64.22 | | | | (458) all_4_72 = n9
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (129), (452), (457) imply:
% 253.57/64.22 | | | | (459) sum(n9, n9) = all_4_99
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (261), (458) imply:
% 253.57/64.22 | | | | (460) sum(n9, n9) = all_4_98
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n9, n9, simplifying
% 253.57/64.22 | | | | with (114), (460) gives:
% 253.57/64.22 | | | | (461) all_4_98 = n7
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n9, n9,
% 253.57/64.22 | | | | simplifying with (459), (460) gives:
% 253.57/64.22 | | | | (462) all_4_98 = all_4_99
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (461), (462) imply:
% 253.57/64.22 | | | | (463) all_4_99 = n7
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | SIMP: (463) implies:
% 253.57/64.22 | | | | (464) all_4_99 = n7
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (232), (461) imply:
% 253.57/64.22 | | | | (465) pred(n7) = all_4_68
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (231), (464) imply:
% 253.57/64.22 | | | | (466) pred(n7) = all_4_71
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (201), (461) imply:
% 253.57/64.22 | | | | (467) succ(n7) = all_4_70
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (200), (464) imply:
% 253.57/64.22 | | | | (468) succ(n7) = all_4_67
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (2) with n8, all_4_67, n7, simplifying with
% 253.57/64.22 | | | | (194), (468) gives:
% 253.57/64.22 | | | | (469) all_4_67 = n8
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n7, simplifying
% 253.57/64.22 | | | | with (467), (468) gives:
% 253.57/64.22 | | | | (470) all_4_67 = all_4_70
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (3) with n6, all_4_68, n7, simplifying with
% 253.57/64.22 | | | | (225), (465) gives:
% 253.57/64.22 | | | | (471) all_4_68 = n6
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n7, simplifying
% 253.57/64.22 | | | | with (465), (466) gives:
% 253.57/64.22 | | | | (472) all_4_68 = all_4_71
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (469), (470) imply:
% 253.57/64.22 | | | | (473) all_4_70 = n8
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | SIMP: (473) implies:
% 253.57/64.22 | | | | (474) all_4_70 = n8
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (471), (472) imply:
% 253.57/64.22 | | | | (475) all_4_71 = n6
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (137), (469), (471) imply:
% 253.57/64.22 | | | | (476) sum(n6, n8) = all_4_66
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (136), (471), (474) imply:
% 253.57/64.22 | | | | (477) sum(n6, n8) = all_4_64
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (134), (469), (475) imply:
% 253.57/64.22 | | | | (478) sum(n6, n8) = all_4_65
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (133), (474), (475) imply:
% 253.57/64.22 | | | | (479) sum(n6, n8) = all_4_69
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with n3, all_4_65, n8, n6, simplifying
% 253.57/64.22 | | | | with (80), (478) gives:
% 253.57/64.22 | | | | (480) all_4_65 = n3
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n8, n6,
% 253.57/64.22 | | | | simplifying with (476), (478) gives:
% 253.57/64.22 | | | | (481) all_4_65 = all_4_66
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n8, n6,
% 253.57/64.22 | | | | simplifying with (476), (477) gives:
% 253.57/64.22 | | | | (482) all_4_64 = all_4_66
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n8, n6,
% 253.57/64.22 | | | | simplifying with (477), (479) gives:
% 253.57/64.22 | | | | (483) all_4_64 = all_4_69
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (482), (483) imply:
% 253.57/64.22 | | | | (484) all_4_66 = all_4_69
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | SIMP: (484) implies:
% 253.57/64.22 | | | | (485) all_4_66 = all_4_69
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (480), (481) imply:
% 253.57/64.22 | | | | (486) all_4_66 = n3
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | SIMP: (486) implies:
% 253.57/64.22 | | | | (487) all_4_66 = n3
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (485), (487) imply:
% 253.57/64.22 | | | | (488) all_4_69 = n3
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | COMBINE_EQS: (483), (488) imply:
% 253.57/64.22 | | | | (489) all_4_64 = n3
% 253.57/64.22 | | | |
% 253.57/64.22 | | | | REDUCE: (138), (480), (489) imply:
% 253.57/64.22 | | | | (490) sum(n3, n3) = all_4_96
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (135), (487), (488) imply:
% 253.57/64.23 | | | | (491) sum(n3, n3) = all_4_97
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with n6, all_4_96, n3, n3, simplifying
% 253.57/64.23 | | | | with (42), (490) gives:
% 253.57/64.23 | | | | (492) all_4_96 = n6
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n3, n3,
% 253.57/64.23 | | | | simplifying with (490), (491) gives:
% 253.57/64.23 | | | | (493) all_4_96 = all_4_97
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (492), (493) imply:
% 253.57/64.23 | | | | (494) all_4_97 = n6
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (234), (492) imply:
% 253.57/64.23 | | | | (495) pred(n6) = all_4_60
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (233), (494) imply:
% 253.57/64.23 | | | | (496) pred(n6) = all_4_63
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (203), (492) imply:
% 253.57/64.23 | | | | (497) succ(n6) = all_4_62
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (202), (494) imply:
% 253.57/64.23 | | | | (498) succ(n6) = all_4_59
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (2) with n7, all_4_59, n6, simplifying with
% 253.57/64.23 | | | | (193), (498) gives:
% 253.57/64.23 | | | | (499) all_4_59 = n7
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n6, simplifying
% 253.57/64.23 | | | | with (497), (498) gives:
% 253.57/64.23 | | | | (500) all_4_59 = all_4_62
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (3) with n5, all_4_60, n6, simplifying with
% 253.57/64.23 | | | | (224), (495) gives:
% 253.57/64.23 | | | | (501) all_4_60 = n5
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n6, simplifying
% 253.57/64.23 | | | | with (495), (496) gives:
% 253.57/64.23 | | | | (502) all_4_60 = all_4_63
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (499), (500) imply:
% 253.57/64.23 | | | | (503) all_4_62 = n7
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (503) implies:
% 253.57/64.23 | | | | (504) all_4_62 = n7
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (501), (502) imply:
% 253.57/64.23 | | | | (505) all_4_63 = n5
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (143), (499), (501) imply:
% 253.57/64.23 | | | | (506) sum(n5, n7) = all_4_58
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (142), (501), (504) imply:
% 253.57/64.23 | | | | (507) sum(n5, n7) = all_4_56
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (140), (499), (505) imply:
% 253.57/64.23 | | | | (508) sum(n5, n7) = all_4_57
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (139), (504), (505) imply:
% 253.57/64.23 | | | | (509) sum(n5, n7) = all_4_61
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with n1, all_4_58, n7, n5, simplifying
% 253.57/64.23 | | | | with (68), (506) gives:
% 253.57/64.23 | | | | (510) all_4_58 = n1
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n7, n5,
% 253.57/64.23 | | | | simplifying with (506), (508) gives:
% 253.57/64.23 | | | | (511) all_4_57 = all_4_58
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n7, n5,
% 253.57/64.23 | | | | simplifying with (507), (508) gives:
% 253.57/64.23 | | | | (512) all_4_56 = all_4_57
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n7, n5,
% 253.57/64.23 | | | | simplifying with (507), (509) gives:
% 253.57/64.23 | | | | (513) all_4_56 = all_4_61
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (512), (513) imply:
% 253.57/64.23 | | | | (514) all_4_57 = all_4_61
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (514) implies:
% 253.57/64.23 | | | | (515) all_4_57 = all_4_61
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (511), (515) imply:
% 253.57/64.23 | | | | (516) all_4_58 = all_4_61
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (516) implies:
% 253.57/64.23 | | | | (517) all_4_58 = all_4_61
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (510), (517) imply:
% 253.57/64.23 | | | | (518) all_4_61 = n1
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (515), (518) imply:
% 253.57/64.23 | | | | (519) all_4_57 = n1
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (513), (518) imply:
% 253.57/64.23 | | | | (520) all_4_56 = n1
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (144), (519), (520) imply:
% 253.57/64.23 | | | | (521) sum(n1, n1) = all_4_94
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (141), (510), (518) imply:
% 253.57/64.23 | | | | (522) sum(n1, n1) = all_4_95
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with n2, all_4_94, n1, n1, simplifying
% 253.57/64.23 | | | | with (18), (521) gives:
% 253.57/64.23 | | | | (523) all_4_94 = n2
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n1, n1,
% 253.57/64.23 | | | | simplifying with (521), (522) gives:
% 253.57/64.23 | | | | (524) all_4_94 = all_4_95
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (523), (524) imply:
% 253.57/64.23 | | | | (525) all_4_95 = n2
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (236), (523) imply:
% 253.57/64.23 | | | | (526) pred(n2) = all_4_52
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (235), (525) imply:
% 253.57/64.23 | | | | (527) pred(n2) = all_4_55
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (205), (523) imply:
% 253.57/64.23 | | | | (528) succ(n2) = all_4_54
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (204), (525) imply:
% 253.57/64.23 | | | | (529) succ(n2) = all_4_51
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (2) with n3, all_4_51, n2, simplifying with
% 253.57/64.23 | | | | (189), (529) gives:
% 253.57/64.23 | | | | (530) all_4_51 = n3
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n2, simplifying
% 253.57/64.23 | | | | with (528), (529) gives:
% 253.57/64.23 | | | | (531) all_4_51 = all_4_54
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (3) with n1, all_4_52, n2, simplifying with
% 253.57/64.23 | | | | (220), (526) gives:
% 253.57/64.23 | | | | (532) all_4_52 = n1
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n2, simplifying
% 253.57/64.23 | | | | with (526), (527) gives:
% 253.57/64.23 | | | | (533) all_4_52 = all_4_55
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (530), (531) imply:
% 253.57/64.23 | | | | (534) all_4_54 = n3
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (534) implies:
% 253.57/64.23 | | | | (535) all_4_54 = n3
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (532), (533) imply:
% 253.57/64.23 | | | | (536) all_4_55 = n1
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (149), (530), (532) imply:
% 253.57/64.23 | | | | (537) sum(n1, n3) = all_4_50
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (148), (532), (535) imply:
% 253.57/64.23 | | | | (538) sum(n1, n3) = all_4_48
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (146), (530), (536) imply:
% 253.57/64.23 | | | | (539) sum(n1, n3) = all_4_49
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (145), (535), (536) imply:
% 253.57/64.23 | | | | (540) sum(n1, n3) = all_4_53
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with n4, all_4_50, n3, n1, simplifying
% 253.57/64.23 | | | | with (20), (537) gives:
% 253.57/64.23 | | | | (541) all_4_50 = n4
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n3, n1,
% 253.57/64.23 | | | | simplifying with (537), (539) gives:
% 253.57/64.23 | | | | (542) all_4_49 = all_4_50
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n3, n1,
% 253.57/64.23 | | | | simplifying with (538), (539) gives:
% 253.57/64.23 | | | | (543) all_4_48 = all_4_49
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n3, n1,
% 253.57/64.23 | | | | simplifying with (538), (540) gives:
% 253.57/64.23 | | | | (544) all_4_48 = all_4_53
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (543), (544) imply:
% 253.57/64.23 | | | | (545) all_4_49 = all_4_53
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (545) implies:
% 253.57/64.23 | | | | (546) all_4_49 = all_4_53
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (542), (546) imply:
% 253.57/64.23 | | | | (547) all_4_50 = all_4_53
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (547) implies:
% 253.57/64.23 | | | | (548) all_4_50 = all_4_53
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (541), (548) imply:
% 253.57/64.23 | | | | (549) all_4_53 = n4
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (546), (549) imply:
% 253.57/64.23 | | | | (550) all_4_49 = n4
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (544), (549) imply:
% 253.57/64.23 | | | | (551) all_4_48 = n4
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (150), (550), (551) imply:
% 253.57/64.23 | | | | (552) sum(n4, n4) = all_4_92
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (147), (541), (549) imply:
% 253.57/64.23 | | | | (553) sum(n4, n4) = all_4_93
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with n8, all_4_92, n4, n4, simplifying
% 253.57/64.23 | | | | with (54), (552) gives:
% 253.57/64.23 | | | | (554) all_4_92 = n8
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n4, n4,
% 253.57/64.23 | | | | simplifying with (552), (553) gives:
% 253.57/64.23 | | | | (555) all_4_92 = all_4_93
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (554), (555) imply:
% 253.57/64.23 | | | | (556) all_4_93 = n8
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (556) implies:
% 253.57/64.23 | | | | (557) all_4_93 = n8
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (238), (554) imply:
% 253.57/64.23 | | | | (558) pred(n8) = all_4_44
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (237), (557) imply:
% 253.57/64.23 | | | | (559) pred(n8) = all_4_47
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (207), (554) imply:
% 253.57/64.23 | | | | (560) succ(n8) = all_4_46
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (206), (557) imply:
% 253.57/64.23 | | | | (561) succ(n8) = all_4_43
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (2) with n9, all_4_43, n8, simplifying with
% 253.57/64.23 | | | | (195), (561) gives:
% 253.57/64.23 | | | | (562) all_4_43 = n9
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n8, simplifying
% 253.57/64.23 | | | | with (560), (561) gives:
% 253.57/64.23 | | | | (563) all_4_43 = all_4_46
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (3) with n7, all_4_44, n8, simplifying with
% 253.57/64.23 | | | | (226), (558) gives:
% 253.57/64.23 | | | | (564) all_4_44 = n7
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n8, simplifying
% 253.57/64.23 | | | | with (558), (559) gives:
% 253.57/64.23 | | | | (565) all_4_44 = all_4_47
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (562), (563) imply:
% 253.57/64.23 | | | | (566) all_4_46 = n9
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | SIMP: (566) implies:
% 253.57/64.23 | | | | (567) all_4_46 = n9
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | COMBINE_EQS: (564), (565) imply:
% 253.57/64.23 | | | | (568) all_4_47 = n7
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (155), (562), (564) imply:
% 253.57/64.23 | | | | (569) sum(n7, n9) = all_4_42
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (154), (564), (567) imply:
% 253.57/64.23 | | | | (570) sum(n7, n9) = all_4_40
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (152), (562), (568) imply:
% 253.57/64.23 | | | | (571) sum(n7, n9) = all_4_41
% 253.57/64.23 | | | |
% 253.57/64.23 | | | | REDUCE: (151), (567), (568) imply:
% 253.57/64.23 | | | | (572) sum(n7, n9) = all_4_45
% 253.57/64.23 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with n5, all_4_42, n9, n7, simplifying
% 253.57/64.24 | | | | with (92), (569) gives:
% 253.57/64.24 | | | | (573) all_4_42 = n5
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n9, n7,
% 253.57/64.24 | | | | simplifying with (569), (571) gives:
% 253.57/64.24 | | | | (574) all_4_41 = all_4_42
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n9, n7,
% 253.57/64.24 | | | | simplifying with (570), (571) gives:
% 253.57/64.24 | | | | (575) all_4_40 = all_4_41
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n9, n7,
% 253.57/64.24 | | | | simplifying with (570), (572) gives:
% 253.57/64.24 | | | | (576) all_4_40 = all_4_45
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (575), (576) imply:
% 253.57/64.24 | | | | (577) all_4_41 = all_4_45
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (577) implies:
% 253.57/64.24 | | | | (578) all_4_41 = all_4_45
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (574), (578) imply:
% 253.57/64.24 | | | | (579) all_4_42 = all_4_45
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (579) implies:
% 253.57/64.24 | | | | (580) all_4_42 = all_4_45
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (573), (580) imply:
% 253.57/64.24 | | | | (581) all_4_45 = n5
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (578), (581) imply:
% 253.57/64.24 | | | | (582) all_4_41 = n5
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (576), (581) imply:
% 253.57/64.24 | | | | (583) all_4_40 = n5
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (156), (582), (583) imply:
% 253.57/64.24 | | | | (584) sum(n5, n5) = all_4_90
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (153), (573), (581) imply:
% 253.57/64.24 | | | | (585) sum(n5, n5) = all_4_91
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with n10, all_4_90, n5, n5, simplifying
% 253.57/64.24 | | | | with (66), (584) gives:
% 253.57/64.24 | | | | (586) all_4_90 = n10
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n5, n5,
% 253.57/64.24 | | | | simplifying with (584), (585) gives:
% 253.57/64.24 | | | | (587) all_4_90 = all_4_91
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (586), (587) imply:
% 253.57/64.24 | | | | (588) all_4_91 = n10
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (240), (586) imply:
% 253.57/64.24 | | | | (589) pred(n10) = all_4_36
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (239), (588) imply:
% 253.57/64.24 | | | | (590) pred(n10) = all_4_39
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (209), (586) imply:
% 253.57/64.24 | | | | (591) succ(n10) = all_4_38
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (208), (588) imply:
% 253.57/64.24 | | | | (592) succ(n10) = all_4_35
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (2) with n0, all_4_35, n10, simplifying with
% 253.57/64.24 | | | | (197), (592) gives:
% 253.57/64.24 | | | | (593) all_4_35 = n0
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n10, simplifying
% 253.57/64.24 | | | | with (591), (592) gives:
% 253.57/64.24 | | | | (594) all_4_35 = all_4_38
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (3) with n9, all_4_36, n10, simplifying with
% 253.57/64.24 | | | | (228), (589) gives:
% 253.57/64.24 | | | | (595) all_4_36 = n9
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n10, simplifying
% 253.57/64.24 | | | | with (589), (590) gives:
% 253.57/64.24 | | | | (596) all_4_36 = all_4_39
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (593), (594) imply:
% 253.57/64.24 | | | | (597) all_4_38 = n0
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (597) implies:
% 253.57/64.24 | | | | (598) all_4_38 = n0
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (595), (596) imply:
% 253.57/64.24 | | | | (599) all_4_39 = n9
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (161), (593), (595) imply:
% 253.57/64.24 | | | | (600) sum(n9, n0) = all_4_34
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (160), (595), (598) imply:
% 253.57/64.24 | | | | (601) sum(n9, n0) = all_4_32
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (158), (593), (599) imply:
% 253.57/64.24 | | | | (602) sum(n9, n0) = all_4_33
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (157), (598), (599) imply:
% 253.57/64.24 | | | | (603) sum(n9, n0) = all_4_37
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with n9, all_4_34, n0, n9, simplifying
% 253.57/64.24 | | | | with (105), (600) gives:
% 253.57/64.24 | | | | (604) all_4_34 = n9
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n0, n9,
% 253.57/64.24 | | | | simplifying with (600), (602) gives:
% 253.57/64.24 | | | | (605) all_4_33 = all_4_34
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n0, n9,
% 253.57/64.24 | | | | simplifying with (601), (602) gives:
% 253.57/64.24 | | | | (606) all_4_32 = all_4_33
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n0, n9,
% 253.57/64.24 | | | | simplifying with (601), (603) gives:
% 253.57/64.24 | | | | (607) all_4_32 = all_4_37
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (606), (607) imply:
% 253.57/64.24 | | | | (608) all_4_33 = all_4_37
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (608) implies:
% 253.57/64.24 | | | | (609) all_4_33 = all_4_37
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (605), (609) imply:
% 253.57/64.24 | | | | (610) all_4_34 = all_4_37
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (610) implies:
% 253.57/64.24 | | | | (611) all_4_34 = all_4_37
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (604), (611) imply:
% 253.57/64.24 | | | | (612) all_4_37 = n9
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (609), (612) imply:
% 253.57/64.24 | | | | (613) all_4_33 = n9
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (607), (612) imply:
% 253.57/64.24 | | | | (614) all_4_32 = n9
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (162), (613), (614) imply:
% 253.57/64.24 | | | | (615) sum(n9, n9) = all_4_88
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (159), (604), (612) imply:
% 253.57/64.24 | | | | (616) sum(n9, n9) = all_4_89
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with n7, all_4_88, n9, n9, simplifying
% 253.57/64.24 | | | | with (114), (615) gives:
% 253.57/64.24 | | | | (617) all_4_88 = n7
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n9, n9,
% 253.57/64.24 | | | | simplifying with (615), (616) gives:
% 253.57/64.24 | | | | (618) all_4_88 = all_4_89
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (617), (618) imply:
% 253.57/64.24 | | | | (619) all_4_89 = n7
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (242), (617) imply:
% 253.57/64.24 | | | | (620) pred(n7) = all_4_28
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (241), (619) imply:
% 253.57/64.24 | | | | (621) pred(n7) = all_4_31
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (211), (617) imply:
% 253.57/64.24 | | | | (622) succ(n7) = all_4_30
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (210), (619) imply:
% 253.57/64.24 | | | | (623) succ(n7) = all_4_27
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (2) with n8, all_4_27, n7, simplifying with
% 253.57/64.24 | | | | (194), (623) gives:
% 253.57/64.24 | | | | (624) all_4_27 = n8
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n7, simplifying
% 253.57/64.24 | | | | with (622), (623) gives:
% 253.57/64.24 | | | | (625) all_4_27 = all_4_30
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (3) with n6, all_4_28, n7, simplifying with
% 253.57/64.24 | | | | (225), (620) gives:
% 253.57/64.24 | | | | (626) all_4_28 = n6
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n7, simplifying
% 253.57/64.24 | | | | with (620), (621) gives:
% 253.57/64.24 | | | | (627) all_4_28 = all_4_31
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (624), (625) imply:
% 253.57/64.24 | | | | (628) all_4_30 = n8
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (628) implies:
% 253.57/64.24 | | | | (629) all_4_30 = n8
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (626), (627) imply:
% 253.57/64.24 | | | | (630) all_4_31 = n6
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (167), (624), (626) imply:
% 253.57/64.24 | | | | (631) sum(n6, n8) = all_4_26
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (166), (626), (629) imply:
% 253.57/64.24 | | | | (632) sum(n6, n8) = all_4_24
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (164), (624), (630) imply:
% 253.57/64.24 | | | | (633) sum(n6, n8) = all_4_25
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (163), (629), (630) imply:
% 253.57/64.24 | | | | (634) sum(n6, n8) = all_4_29
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with n3, all_4_26, n8, n6, simplifying
% 253.57/64.24 | | | | with (80), (631) gives:
% 253.57/64.24 | | | | (635) all_4_26 = n3
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n8, n6,
% 253.57/64.24 | | | | simplifying with (631), (633) gives:
% 253.57/64.24 | | | | (636) all_4_25 = all_4_26
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n8, n6,
% 253.57/64.24 | | | | simplifying with (632), (633) gives:
% 253.57/64.24 | | | | (637) all_4_24 = all_4_25
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n8, n6,
% 253.57/64.24 | | | | simplifying with (632), (634) gives:
% 253.57/64.24 | | | | (638) all_4_24 = all_4_29
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (637), (638) imply:
% 253.57/64.24 | | | | (639) all_4_25 = all_4_29
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (639) implies:
% 253.57/64.24 | | | | (640) all_4_25 = all_4_29
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (636), (640) imply:
% 253.57/64.24 | | | | (641) all_4_26 = all_4_29
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (641) implies:
% 253.57/64.24 | | | | (642) all_4_26 = all_4_29
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (635), (642) imply:
% 253.57/64.24 | | | | (643) all_4_29 = n3
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (640), (643) imply:
% 253.57/64.24 | | | | (644) all_4_25 = n3
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (638), (643) imply:
% 253.57/64.24 | | | | (645) all_4_24 = n3
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (168), (644), (645) imply:
% 253.57/64.24 | | | | (646) sum(n3, n3) = all_4_86
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (165), (635), (643) imply:
% 253.57/64.24 | | | | (647) sum(n3, n3) = all_4_87
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with n6, all_4_86, n3, n3, simplifying
% 253.57/64.24 | | | | with (42), (646) gives:
% 253.57/64.24 | | | | (648) all_4_86 = n6
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n3, n3,
% 253.57/64.24 | | | | simplifying with (646), (647) gives:
% 253.57/64.24 | | | | (649) all_4_86 = all_4_87
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (648), (649) imply:
% 253.57/64.24 | | | | (650) all_4_87 = n6
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (650) implies:
% 253.57/64.24 | | | | (651) all_4_87 = n6
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (244), (648) imply:
% 253.57/64.24 | | | | (652) pred(n6) = all_4_20
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (243), (651) imply:
% 253.57/64.24 | | | | (653) pred(n6) = all_4_23
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (213), (648) imply:
% 253.57/64.24 | | | | (654) succ(n6) = all_4_22
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (212), (651) imply:
% 253.57/64.24 | | | | (655) succ(n6) = all_4_19
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (2) with n7, all_4_19, n6, simplifying with
% 253.57/64.24 | | | | (193), (655) gives:
% 253.57/64.24 | | | | (656) all_4_19 = n7
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (2) with all_4_22, all_4_19, n6, simplifying
% 253.57/64.24 | | | | with (654), (655) gives:
% 253.57/64.24 | | | | (657) all_4_19 = all_4_22
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (3) with n5, all_4_20, n6, simplifying with
% 253.57/64.24 | | | | (224), (652) gives:
% 253.57/64.24 | | | | (658) all_4_20 = n5
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | GROUND_INST: instantiating (3) with all_4_23, all_4_20, n6, simplifying
% 253.57/64.24 | | | | with (652), (653) gives:
% 253.57/64.24 | | | | (659) all_4_20 = all_4_23
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (656), (657) imply:
% 253.57/64.24 | | | | (660) all_4_22 = n7
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | SIMP: (660) implies:
% 253.57/64.24 | | | | (661) all_4_22 = n7
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | COMBINE_EQS: (658), (659) imply:
% 253.57/64.24 | | | | (662) all_4_23 = n5
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (173), (656), (658) imply:
% 253.57/64.24 | | | | (663) sum(n5, n7) = all_4_18
% 253.57/64.24 | | | |
% 253.57/64.24 | | | | REDUCE: (172), (658), (661) imply:
% 253.57/64.25 | | | | (664) sum(n5, n7) = all_4_16
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | REDUCE: (170), (656), (662) imply:
% 253.57/64.25 | | | | (665) sum(n5, n7) = all_4_17
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | REDUCE: (169), (661), (662) imply:
% 253.57/64.25 | | | | (666) sum(n5, n7) = all_4_21
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | GROUND_INST: instantiating (4) with n1, all_4_18, n7, n5, simplifying
% 253.57/64.25 | | | | with (68), (663) gives:
% 253.57/64.25 | | | | (667) all_4_18 = n1
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | GROUND_INST: instantiating (4) with all_4_18, all_4_17, n7, n5,
% 253.57/64.25 | | | | simplifying with (663), (665) gives:
% 253.57/64.25 | | | | (668) all_4_17 = all_4_18
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | GROUND_INST: instantiating (4) with all_4_17, all_4_16, n7, n5,
% 253.57/64.25 | | | | simplifying with (664), (665) gives:
% 253.57/64.25 | | | | (669) all_4_16 = all_4_17
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | GROUND_INST: instantiating (4) with all_4_21, all_4_16, n7, n5,
% 253.57/64.25 | | | | simplifying with (664), (666) gives:
% 253.57/64.25 | | | | (670) all_4_16 = all_4_21
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | COMBINE_EQS: (669), (670) imply:
% 253.57/64.25 | | | | (671) all_4_17 = all_4_21
% 253.57/64.25 | | | |
% 253.57/64.25 | | | | SIMP: (671) implies:
% 253.76/64.25 | | | | (672) all_4_17 = all_4_21
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | COMBINE_EQS: (668), (672) imply:
% 253.76/64.25 | | | | (673) all_4_18 = all_4_21
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | SIMP: (673) implies:
% 253.76/64.25 | | | | (674) all_4_18 = all_4_21
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | COMBINE_EQS: (667), (674) imply:
% 253.76/64.25 | | | | (675) all_4_21 = n1
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | COMBINE_EQS: (672), (675) imply:
% 253.76/64.25 | | | | (676) all_4_17 = n1
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | COMBINE_EQS: (670), (675) imply:
% 253.76/64.25 | | | | (677) all_4_16 = n1
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | REDUCE: (174), (676), (677) imply:
% 253.76/64.25 | | | | (678) sum(n1, n1) = all_4_84
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | REDUCE: (171), (667), (675) imply:
% 253.76/64.25 | | | | (679) sum(n1, n1) = all_4_85
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | GROUND_INST: instantiating (4) with n2, all_4_84, n1, n1, simplifying
% 253.76/64.25 | | | | with (18), (678) gives:
% 253.76/64.25 | | | | (680) all_4_84 = n2
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | GROUND_INST: instantiating (4) with all_4_85, all_4_84, n1, n1,
% 253.76/64.25 | | | | simplifying with (678), (679) gives:
% 253.76/64.25 | | | | (681) all_4_84 = all_4_85
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | COMBINE_EQS: (680), (681) imply:
% 253.76/64.25 | | | | (682) all_4_85 = n2
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | SIMP: (682) implies:
% 253.76/64.25 | | | | (683) all_4_85 = n2
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | REDUCE: (246), (680) imply:
% 253.76/64.25 | | | | (684) pred(n2) = all_4_12
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | REDUCE: (245), (683) imply:
% 253.76/64.25 | | | | (685) pred(n2) = all_4_15
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | REDUCE: (215), (680) imply:
% 253.76/64.25 | | | | (686) succ(n2) = all_4_14
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | REDUCE: (214), (683) imply:
% 253.76/64.25 | | | | (687) succ(n2) = all_4_11
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | BETA: splitting (443) gives:
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | Case 1:
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | (688) ~ (all_4_82 = all_4_83)
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | GROUND_INST: instantiating (2) with n3, all_4_11, n2, simplifying with
% 253.76/64.25 | | | | | (189), (687) gives:
% 253.76/64.25 | | | | | (689) all_4_11 = n3
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (175), (176), (177), (178),
% 253.76/64.25 | | | | | (179), (180), (220), (684), (685), (686), (687), (688),
% 253.76/64.25 | | | | | (689) are inconsistent by sub-proof #199.
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | Case 2:
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | (690) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~
% 253.76/64.25 | | | | | (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~
% 253.76/64.25 | | | | | (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 253.76/64.25 | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | REF_CLOSE: (461), (464), (492), (494), (523), (525), (554), (557),
% 253.76/64.25 | | | | | (586), (588), (617), (619), (648), (651), (680), (683),
% 253.76/64.25 | | | | | (690) are inconsistent by sub-proof #192.
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | End of split
% 253.76/64.25 | | | |
% 253.76/64.25 | | | Case 2:
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | (691) all_4_100 = n9 | all_4_100 = n8 | all_4_100 = n7 | all_4_100 =
% 253.76/64.25 | | | | n6 | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 253.76/64.25 | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | BETA: splitting (443) gives:
% 253.76/64.25 | | | |
% 253.76/64.25 | | | | Case 1:
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | (692) ~ (all_4_82 = all_4_83)
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | BETA: splitting (691) gives:
% 253.76/64.25 | | | | |
% 253.76/64.25 | | | | | Case 1:
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | (693) all_4_100 = n9
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (230), (693) imply:
% 253.76/64.25 | | | | | | (694) pred(n9) = all_4_76
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (199), (693) imply:
% 253.76/64.25 | | | | | | (695) succ(n9) = all_4_78
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 253.76/64.25 | | | | | | with (196), (695) gives:
% 253.76/64.25 | | | | | | (696) all_4_78 = n10
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 253.76/64.25 | | | | | | with (227), (694) gives:
% 253.76/64.25 | | | | | | (697) all_4_76 = n8
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (130), (696), (697) imply:
% 253.76/64.25 | | | | | | (698) sum(n8, n10) = all_4_72
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (257), (697) imply:
% 253.76/64.25 | | | | | | (699) sum(n8, n0) = all_4_74
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (259), (696) imply:
% 253.76/64.25 | | | | | | (700) sum(n9, n10) = all_4_77
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n0, n8,
% 253.76/64.25 | | | | | | simplifying with (94), (699) gives:
% 253.76/64.25 | | | | | | (701) all_4_74 = n8
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_72, n10, n8,
% 253.76/64.25 | | | | | | simplifying with (104), (698) gives:
% 253.76/64.25 | | | | | | (702) all_4_72 = n7
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n10, n9,
% 253.76/64.25 | | | | | | simplifying with (115), (700) gives:
% 253.76/64.25 | | | | | | (703) all_4_77 = n8
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (129), (701), (703) imply:
% 253.76/64.25 | | | | | | (704) sum(n8, n8) = all_4_99
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (261), (702) imply:
% 253.76/64.25 | | | | | | (705) sum(n9, n7) = all_4_98
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 253.76/64.25 | | | | | | simplifying with (102), (704) gives:
% 253.76/64.25 | | | | | | (706) all_4_99 = n5
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n7, n9,
% 253.76/64.25 | | | | | | simplifying with (112), (705) gives:
% 253.76/64.25 | | | | | | (707) all_4_98 = n5
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (232), (707) imply:
% 253.76/64.25 | | | | | | (708) pred(n5) = all_4_68
% 253.76/64.25 | | | | | |
% 253.76/64.25 | | | | | | REDUCE: (231), (706) imply:
% 253.76/64.25 | | | | | | (709) pred(n5) = all_4_71
% 253.76/64.25 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (201), (707) imply:
% 253.76/64.26 | | | | | | (710) succ(n5) = all_4_70
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (200), (706) imply:
% 253.76/64.26 | | | | | | (711) succ(n5) = all_4_67
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (2) with n6, all_4_67, n5, simplifying
% 253.76/64.26 | | | | | | with (192), (711) gives:
% 253.76/64.26 | | | | | | (712) all_4_67 = n6
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n5,
% 253.76/64.26 | | | | | | simplifying with (710), (711) gives:
% 253.76/64.26 | | | | | | (713) all_4_67 = all_4_70
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (3) with n4, all_4_68, n5, simplifying
% 253.76/64.26 | | | | | | with (223), (708) gives:
% 253.76/64.26 | | | | | | (714) all_4_68 = n4
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n5,
% 253.76/64.26 | | | | | | simplifying with (708), (709) gives:
% 253.76/64.26 | | | | | | (715) all_4_68 = all_4_71
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (712), (713) imply:
% 253.76/64.26 | | | | | | (716) all_4_70 = n6
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (714), (715) imply:
% 253.76/64.26 | | | | | | (717) all_4_71 = n4
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (137), (712), (714) imply:
% 253.76/64.26 | | | | | | (718) sum(n4, n6) = all_4_66
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (136), (714), (716) imply:
% 253.76/64.26 | | | | | | (719) sum(n4, n6) = all_4_64
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (134), (712), (717) imply:
% 253.76/64.26 | | | | | | (720) sum(n4, n6) = all_4_65
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (133), (716), (717) imply:
% 253.76/64.26 | | | | | | (721) sum(n4, n6) = all_4_69
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_65, n6, n4,
% 253.76/64.26 | | | | | | simplifying with (56), (720) gives:
% 253.76/64.26 | | | | | | (722) all_4_65 = n10
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n6, n4,
% 253.76/64.26 | | | | | | simplifying with (718), (720) gives:
% 253.76/64.26 | | | | | | (723) all_4_65 = all_4_66
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n6, n4,
% 253.76/64.26 | | | | | | simplifying with (718), (719) gives:
% 253.76/64.26 | | | | | | (724) all_4_64 = all_4_66
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n6, n4,
% 253.76/64.26 | | | | | | simplifying with (719), (721) gives:
% 253.76/64.26 | | | | | | (725) all_4_64 = all_4_69
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (724), (725) imply:
% 253.76/64.26 | | | | | | (726) all_4_66 = all_4_69
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | SIMP: (726) implies:
% 253.76/64.26 | | | | | | (727) all_4_66 = all_4_69
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (722), (723) imply:
% 253.76/64.26 | | | | | | (728) all_4_66 = n10
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | SIMP: (728) implies:
% 253.76/64.26 | | | | | | (729) all_4_66 = n10
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (727), (729) imply:
% 253.76/64.26 | | | | | | (730) all_4_69 = n10
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (725), (730) imply:
% 253.76/64.26 | | | | | | (731) all_4_64 = n10
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (138), (722), (731) imply:
% 253.76/64.26 | | | | | | (732) sum(n10, n10) = all_4_96
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | REDUCE: (135), (729), (730) imply:
% 253.76/64.26 | | | | | | (733) sum(n10, n10) = all_4_97
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (4) with n9, all_4_96, n10, n10,
% 253.76/64.26 | | | | | | simplifying with (126), (732) gives:
% 253.76/64.26 | | | | | | (734) all_4_96 = n9
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n10, n10,
% 253.76/64.26 | | | | | | simplifying with (732), (733) gives:
% 253.76/64.26 | | | | | | (735) all_4_96 = all_4_97
% 253.76/64.26 | | | | | |
% 253.76/64.26 | | | | | | COMBINE_EQS: (734), (735) imply:
% 253.76/64.27 | | | | | | (736) all_4_97 = n9
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | SIMP: (736) implies:
% 253.76/64.27 | | | | | | (737) all_4_97 = n9
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (234), (734) imply:
% 253.76/64.27 | | | | | | (738) pred(n9) = all_4_60
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (233), (737) imply:
% 253.76/64.27 | | | | | | (739) pred(n9) = all_4_63
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (203), (734) imply:
% 253.76/64.27 | | | | | | (740) succ(n9) = all_4_62
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (202), (737) imply:
% 253.76/64.27 | | | | | | (741) succ(n9) = all_4_59
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_59, n9, simplifying
% 253.76/64.27 | | | | | | with (196), (741) gives:
% 253.76/64.27 | | | | | | (742) all_4_59 = n10
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n9,
% 253.76/64.27 | | | | | | simplifying with (740), (741) gives:
% 253.76/64.27 | | | | | | (743) all_4_59 = all_4_62
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_60, n9, simplifying
% 253.76/64.27 | | | | | | with (227), (738) gives:
% 253.76/64.27 | | | | | | (744) all_4_60 = n8
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n9,
% 253.76/64.27 | | | | | | simplifying with (738), (739) gives:
% 253.76/64.27 | | | | | | (745) all_4_60 = all_4_63
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (742), (743) imply:
% 253.76/64.27 | | | | | | (746) all_4_62 = n10
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (744), (745) imply:
% 253.76/64.27 | | | | | | (747) all_4_63 = n8
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (143), (742), (744) imply:
% 253.76/64.27 | | | | | | (748) sum(n8, n10) = all_4_58
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (142), (744), (746) imply:
% 253.76/64.27 | | | | | | (749) sum(n8, n10) = all_4_56
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (140), (742), (747) imply:
% 253.76/64.27 | | | | | | (750) sum(n8, n10) = all_4_57
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (139), (746), (747) imply:
% 253.76/64.27 | | | | | | (751) sum(n8, n10) = all_4_61
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_57, n10, n8,
% 253.76/64.27 | | | | | | simplifying with (104), (750) gives:
% 253.76/64.27 | | | | | | (752) all_4_57 = n7
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n10, n8,
% 253.76/64.27 | | | | | | simplifying with (748), (750) gives:
% 253.76/64.27 | | | | | | (753) all_4_57 = all_4_58
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n10, n8,
% 253.76/64.27 | | | | | | simplifying with (749), (750) gives:
% 253.76/64.27 | | | | | | (754) all_4_56 = all_4_57
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n10, n8,
% 253.76/64.27 | | | | | | simplifying with (749), (751) gives:
% 253.76/64.27 | | | | | | (755) all_4_56 = all_4_61
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (754), (755) imply:
% 253.76/64.27 | | | | | | (756) all_4_57 = all_4_61
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | SIMP: (756) implies:
% 253.76/64.27 | | | | | | (757) all_4_57 = all_4_61
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (752), (753) imply:
% 253.76/64.27 | | | | | | (758) all_4_58 = n7
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (753), (757) imply:
% 253.76/64.27 | | | | | | (759) all_4_58 = all_4_61
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (758), (759) imply:
% 253.76/64.27 | | | | | | (760) all_4_61 = n7
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (755), (760) imply:
% 253.76/64.27 | | | | | | (761) all_4_56 = n7
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (144), (752), (761) imply:
% 253.76/64.27 | | | | | | (762) sum(n7, n7) = all_4_94
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (141), (758), (760) imply:
% 253.76/64.27 | | | | | | (763) sum(n7, n7) = all_4_95
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_94, n7, n7,
% 253.76/64.27 | | | | | | simplifying with (90), (762) gives:
% 253.76/64.27 | | | | | | (764) all_4_94 = n3
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n7, n7,
% 253.76/64.27 | | | | | | simplifying with (762), (763) gives:
% 253.76/64.27 | | | | | | (765) all_4_94 = all_4_95
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (764), (765) imply:
% 253.76/64.27 | | | | | | (766) all_4_95 = n3
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (236), (764) imply:
% 253.76/64.27 | | | | | | (767) pred(n3) = all_4_52
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (235), (766) imply:
% 253.76/64.27 | | | | | | (768) pred(n3) = all_4_55
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (205), (764) imply:
% 253.76/64.27 | | | | | | (769) succ(n3) = all_4_54
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (204), (766) imply:
% 253.76/64.27 | | | | | | (770) succ(n3) = all_4_51
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (2) with n4, all_4_51, n3, simplifying
% 253.76/64.27 | | | | | | with (190), (770) gives:
% 253.76/64.27 | | | | | | (771) all_4_51 = n4
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n3,
% 253.76/64.27 | | | | | | simplifying with (769), (770) gives:
% 253.76/64.27 | | | | | | (772) all_4_51 = all_4_54
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (3) with n2, all_4_52, n3, simplifying
% 253.76/64.27 | | | | | | with (221), (767) gives:
% 253.76/64.27 | | | | | | (773) all_4_52 = n2
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n3,
% 253.76/64.27 | | | | | | simplifying with (767), (768) gives:
% 253.76/64.27 | | | | | | (774) all_4_52 = all_4_55
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (771), (772) imply:
% 253.76/64.27 | | | | | | (775) all_4_54 = n4
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | COMBINE_EQS: (773), (774) imply:
% 253.76/64.27 | | | | | | (776) all_4_55 = n2
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | SIMP: (776) implies:
% 253.76/64.27 | | | | | | (777) all_4_55 = n2
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (149), (771), (773) imply:
% 253.76/64.27 | | | | | | (778) sum(n2, n4) = all_4_50
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (148), (773), (775) imply:
% 253.76/64.27 | | | | | | (779) sum(n2, n4) = all_4_48
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (146), (771), (777) imply:
% 253.76/64.27 | | | | | | (780) sum(n2, n4) = all_4_49
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | REDUCE: (145), (775), (777) imply:
% 253.76/64.27 | | | | | | (781) sum(n2, n4) = all_4_53
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with n6, all_4_49, n4, n2,
% 253.76/64.27 | | | | | | simplifying with (32), (780) gives:
% 253.76/64.27 | | | | | | (782) all_4_49 = n6
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n4, n2,
% 253.76/64.27 | | | | | | simplifying with (778), (780) gives:
% 253.76/64.27 | | | | | | (783) all_4_49 = all_4_50
% 253.76/64.27 | | | | | |
% 253.76/64.27 | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n4, n2,
% 253.76/64.27 | | | | | | simplifying with (779), (780) gives:
% 253.76/64.27 | | | | | | (784) all_4_48 = all_4_49
% 253.76/64.27 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n4, n2,
% 253.76/64.28 | | | | | | simplifying with (779), (781) gives:
% 253.76/64.28 | | | | | | (785) all_4_48 = all_4_53
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (784), (785) imply:
% 253.76/64.28 | | | | | | (786) all_4_49 = all_4_53
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (786) implies:
% 253.76/64.28 | | | | | | (787) all_4_49 = all_4_53
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (782), (783) imply:
% 253.76/64.28 | | | | | | (788) all_4_50 = n6
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (783), (787) imply:
% 253.76/64.28 | | | | | | (789) all_4_50 = all_4_53
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (788), (789) imply:
% 253.76/64.28 | | | | | | (790) all_4_53 = n6
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (785), (790) imply:
% 253.76/64.28 | | | | | | (791) all_4_48 = n6
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (150), (782), (791) imply:
% 253.76/64.28 | | | | | | (792) sum(n6, n6) = all_4_92
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (147), (788), (790) imply:
% 253.76/64.28 | | | | | | (793) sum(n6, n6) = all_4_93
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with n1, all_4_92, n6, n6,
% 253.76/64.28 | | | | | | simplifying with (78), (792) gives:
% 253.76/64.28 | | | | | | (794) all_4_92 = n1
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n6, n6,
% 253.76/64.28 | | | | | | simplifying with (792), (793) gives:
% 253.76/64.28 | | | | | | (795) all_4_92 = all_4_93
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (794), (795) imply:
% 253.76/64.28 | | | | | | (796) all_4_93 = n1
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (796) implies:
% 253.76/64.28 | | | | | | (797) all_4_93 = n1
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (238), (794) imply:
% 253.76/64.28 | | | | | | (798) pred(n1) = all_4_44
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (237), (797) imply:
% 253.76/64.28 | | | | | | (799) pred(n1) = all_4_47
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (207), (794) imply:
% 253.76/64.28 | | | | | | (800) succ(n1) = all_4_46
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (206), (797) imply:
% 253.76/64.28 | | | | | | (801) succ(n1) = all_4_43
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (2) with n2, all_4_43, n1, simplifying
% 253.76/64.28 | | | | | | with (188), (801) gives:
% 253.76/64.28 | | | | | | (802) all_4_43 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n1,
% 253.76/64.28 | | | | | | simplifying with (800), (801) gives:
% 253.76/64.28 | | | | | | (803) all_4_43 = all_4_46
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (3) with n0, all_4_44, n1, simplifying
% 253.76/64.28 | | | | | | with (219), (798) gives:
% 253.76/64.28 | | | | | | (804) all_4_44 = n0
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n1,
% 253.76/64.28 | | | | | | simplifying with (798), (799) gives:
% 253.76/64.28 | | | | | | (805) all_4_44 = all_4_47
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (802), (803) imply:
% 253.76/64.28 | | | | | | (806) all_4_46 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (804), (805) imply:
% 253.76/64.28 | | | | | | (807) all_4_47 = n0
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (155), (802), (804) imply:
% 253.76/64.28 | | | | | | (808) sum(n0, n2) = all_4_42
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (154), (804), (806) imply:
% 253.76/64.28 | | | | | | (809) sum(n0, n2) = all_4_40
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (152), (802), (807) imply:
% 253.76/64.28 | | | | | | (810) sum(n0, n2) = all_4_41
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (151), (806), (807) imply:
% 253.76/64.28 | | | | | | (811) sum(n0, n2) = all_4_45
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with n2, all_4_41, n2, n0,
% 253.76/64.28 | | | | | | simplifying with (8), (810) gives:
% 253.76/64.28 | | | | | | (812) all_4_41 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n2, n0,
% 253.76/64.28 | | | | | | simplifying with (808), (810) gives:
% 253.76/64.28 | | | | | | (813) all_4_41 = all_4_42
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n2, n0,
% 253.76/64.28 | | | | | | simplifying with (809), (810) gives:
% 253.76/64.28 | | | | | | (814) all_4_40 = all_4_41
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n2, n0,
% 253.76/64.28 | | | | | | simplifying with (809), (811) gives:
% 253.76/64.28 | | | | | | (815) all_4_40 = all_4_45
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (814), (815) imply:
% 253.76/64.28 | | | | | | (816) all_4_41 = all_4_45
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (816) implies:
% 253.76/64.28 | | | | | | (817) all_4_41 = all_4_45
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (812), (813) imply:
% 253.76/64.28 | | | | | | (818) all_4_42 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (813), (817) imply:
% 253.76/64.28 | | | | | | (819) all_4_42 = all_4_45
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (818), (819) imply:
% 253.76/64.28 | | | | | | (820) all_4_45 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (820) implies:
% 253.76/64.28 | | | | | | (821) all_4_45 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (815), (821) imply:
% 253.76/64.28 | | | | | | (822) all_4_40 = n2
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (156), (812), (822) imply:
% 253.76/64.28 | | | | | | (823) sum(n2, n2) = all_4_90
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (153), (818), (821) imply:
% 253.76/64.28 | | | | | | (824) sum(n2, n2) = all_4_91
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with n4, all_4_90, n2, n2,
% 253.76/64.28 | | | | | | simplifying with (30), (823) gives:
% 253.76/64.28 | | | | | | (825) all_4_90 = n4
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n2, n2,
% 253.76/64.28 | | | | | | simplifying with (823), (824) gives:
% 253.76/64.28 | | | | | | (826) all_4_90 = all_4_91
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (825), (826) imply:
% 253.76/64.28 | | | | | | (827) all_4_91 = n4
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (827) implies:
% 253.76/64.28 | | | | | | (828) all_4_91 = n4
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (240), (825) imply:
% 253.76/64.28 | | | | | | (829) pred(n4) = all_4_36
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (239), (828) imply:
% 253.76/64.28 | | | | | | (830) pred(n4) = all_4_39
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (209), (825) imply:
% 253.76/64.28 | | | | | | (831) succ(n4) = all_4_38
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (208), (828) imply:
% 253.76/64.28 | | | | | | (832) succ(n4) = all_4_35
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (2) with n5, all_4_35, n4, simplifying
% 253.76/64.28 | | | | | | with (191), (832) gives:
% 253.76/64.28 | | | | | | (833) all_4_35 = n5
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n4,
% 253.76/64.28 | | | | | | simplifying with (831), (832) gives:
% 253.76/64.28 | | | | | | (834) all_4_35 = all_4_38
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (3) with n3, all_4_36, n4, simplifying
% 253.76/64.28 | | | | | | with (222), (829) gives:
% 253.76/64.28 | | | | | | (835) all_4_36 = n3
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n4,
% 253.76/64.28 | | | | | | simplifying with (829), (830) gives:
% 253.76/64.28 | | | | | | (836) all_4_36 = all_4_39
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (833), (834) imply:
% 253.76/64.28 | | | | | | (837) all_4_38 = n5
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (835), (836) imply:
% 253.76/64.28 | | | | | | (838) all_4_39 = n3
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (161), (833), (835) imply:
% 253.76/64.28 | | | | | | (839) sum(n3, n5) = all_4_34
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (160), (835), (837) imply:
% 253.76/64.28 | | | | | | (840) sum(n3, n5) = all_4_32
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (158), (833), (838) imply:
% 253.76/64.28 | | | | | | (841) sum(n3, n5) = all_4_33
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (157), (837), (838) imply:
% 253.76/64.28 | | | | | | (842) sum(n3, n5) = all_4_37
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_33, n5, n3,
% 253.76/64.28 | | | | | | simplifying with (44), (841) gives:
% 253.76/64.28 | | | | | | (843) all_4_33 = n8
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n5, n3,
% 253.76/64.28 | | | | | | simplifying with (839), (841) gives:
% 253.76/64.28 | | | | | | (844) all_4_33 = all_4_34
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n5, n3,
% 253.76/64.28 | | | | | | simplifying with (840), (841) gives:
% 253.76/64.28 | | | | | | (845) all_4_32 = all_4_33
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n5, n3,
% 253.76/64.28 | | | | | | simplifying with (840), (842) gives:
% 253.76/64.28 | | | | | | (846) all_4_32 = all_4_37
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (845), (846) imply:
% 253.76/64.28 | | | | | | (847) all_4_33 = all_4_37
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (847) implies:
% 253.76/64.28 | | | | | | (848) all_4_33 = all_4_37
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (843), (844) imply:
% 253.76/64.28 | | | | | | (849) all_4_34 = n8
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (844), (848) imply:
% 253.76/64.28 | | | | | | (850) all_4_34 = all_4_37
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (849), (850) imply:
% 253.76/64.28 | | | | | | (851) all_4_37 = n8
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (846), (851) imply:
% 253.76/64.28 | | | | | | (852) all_4_32 = n8
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (162), (843), (852) imply:
% 253.76/64.28 | | | | | | (853) sum(n8, n8) = all_4_88
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (159), (849), (851) imply:
% 253.76/64.28 | | | | | | (854) sum(n8, n8) = all_4_89
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_88, n8, n8,
% 253.76/64.28 | | | | | | simplifying with (102), (853) gives:
% 253.76/64.28 | | | | | | (855) all_4_88 = n5
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n8, n8,
% 253.76/64.28 | | | | | | simplifying with (853), (854) gives:
% 253.76/64.28 | | | | | | (856) all_4_88 = all_4_89
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (855), (856) imply:
% 253.76/64.28 | | | | | | (857) all_4_89 = n5
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (242), (855) imply:
% 253.76/64.28 | | | | | | (858) pred(n5) = all_4_28
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (241), (857) imply:
% 253.76/64.28 | | | | | | (859) pred(n5) = all_4_31
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (211), (855) imply:
% 253.76/64.28 | | | | | | (860) succ(n5) = all_4_30
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (210), (857) imply:
% 253.76/64.28 | | | | | | (861) succ(n5) = all_4_27
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (2) with n6, all_4_27, n5, simplifying
% 253.76/64.28 | | | | | | with (192), (861) gives:
% 253.76/64.28 | | | | | | (862) all_4_27 = n6
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n5,
% 253.76/64.28 | | | | | | simplifying with (860), (861) gives:
% 253.76/64.28 | | | | | | (863) all_4_27 = all_4_30
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (3) with n4, all_4_28, n5, simplifying
% 253.76/64.28 | | | | | | with (223), (858) gives:
% 253.76/64.28 | | | | | | (864) all_4_28 = n4
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n5,
% 253.76/64.28 | | | | | | simplifying with (858), (859) gives:
% 253.76/64.28 | | | | | | (865) all_4_28 = all_4_31
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (862), (863) imply:
% 253.76/64.28 | | | | | | (866) all_4_30 = n6
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (864), (865) imply:
% 253.76/64.28 | | | | | | (867) all_4_31 = n4
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (167), (862), (864) imply:
% 253.76/64.28 | | | | | | (868) sum(n4, n6) = all_4_26
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (166), (864), (866) imply:
% 253.76/64.28 | | | | | | (869) sum(n4, n6) = all_4_24
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (164), (862), (867) imply:
% 253.76/64.28 | | | | | | (870) sum(n4, n6) = all_4_25
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (163), (866), (867) imply:
% 253.76/64.28 | | | | | | (871) sum(n4, n6) = all_4_29
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_25, n6, n4,
% 253.76/64.28 | | | | | | simplifying with (56), (870) gives:
% 253.76/64.28 | | | | | | (872) all_4_25 = n10
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n6, n4,
% 253.76/64.28 | | | | | | simplifying with (868), (870) gives:
% 253.76/64.28 | | | | | | (873) all_4_25 = all_4_26
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n6, n4,
% 253.76/64.28 | | | | | | simplifying with (869), (870) gives:
% 253.76/64.28 | | | | | | (874) all_4_24 = all_4_25
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n6, n4,
% 253.76/64.28 | | | | | | simplifying with (869), (871) gives:
% 253.76/64.28 | | | | | | (875) all_4_24 = all_4_29
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (874), (875) imply:
% 253.76/64.28 | | | | | | (876) all_4_25 = all_4_29
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | SIMP: (876) implies:
% 253.76/64.28 | | | | | | (877) all_4_25 = all_4_29
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (872), (873) imply:
% 253.76/64.28 | | | | | | (878) all_4_26 = n10
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (873), (877) imply:
% 253.76/64.28 | | | | | | (879) all_4_26 = all_4_29
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (878), (879) imply:
% 253.76/64.28 | | | | | | (880) all_4_29 = n10
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | COMBINE_EQS: (875), (880) imply:
% 253.76/64.28 | | | | | | (881) all_4_24 = n10
% 253.76/64.28 | | | | | |
% 253.76/64.28 | | | | | | REDUCE: (168), (872), (881) imply:
% 253.76/64.29 | | | | | | (882) sum(n10, n10) = all_4_86
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (165), (878), (880) imply:
% 253.76/64.29 | | | | | | (883) sum(n10, n10) = all_4_87
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with n9, all_4_86, n10, n10,
% 253.76/64.29 | | | | | | simplifying with (126), (882) gives:
% 253.76/64.29 | | | | | | (884) all_4_86 = n9
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n10, n10,
% 253.76/64.29 | | | | | | simplifying with (882), (883) gives:
% 253.76/64.29 | | | | | | (885) all_4_86 = all_4_87
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (884), (885) imply:
% 253.76/64.29 | | | | | | (886) all_4_87 = n9
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | SIMP: (886) implies:
% 253.76/64.29 | | | | | | (887) all_4_87 = n9
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (244), (884) imply:
% 253.76/64.29 | | | | | | (888) pred(n9) = all_4_20
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (243), (887) imply:
% 253.76/64.29 | | | | | | (889) pred(n9) = all_4_23
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (213), (884) imply:
% 253.76/64.29 | | | | | | (890) succ(n9) = all_4_22
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (212), (887) imply:
% 253.76/64.29 | | | | | | (891) succ(n9) = all_4_19
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_19, n9, simplifying
% 253.76/64.29 | | | | | | with (196), (891) gives:
% 253.76/64.29 | | | | | | (892) all_4_19 = n10
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (2) with all_4_22, all_4_19, n9,
% 253.76/64.29 | | | | | | simplifying with (890), (891) gives:
% 253.76/64.29 | | | | | | (893) all_4_19 = all_4_22
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_20, n9, simplifying
% 253.76/64.29 | | | | | | with (227), (888) gives:
% 253.76/64.29 | | | | | | (894) all_4_20 = n8
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (3) with all_4_23, all_4_20, n9,
% 253.76/64.29 | | | | | | simplifying with (888), (889) gives:
% 253.76/64.29 | | | | | | (895) all_4_20 = all_4_23
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (892), (893) imply:
% 253.76/64.29 | | | | | | (896) all_4_22 = n10
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (894), (895) imply:
% 253.76/64.29 | | | | | | (897) all_4_23 = n8
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (173), (892), (894) imply:
% 253.76/64.29 | | | | | | (898) sum(n8, n10) = all_4_18
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (172), (894), (896) imply:
% 253.76/64.29 | | | | | | (899) sum(n8, n10) = all_4_16
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (170), (892), (897) imply:
% 253.76/64.29 | | | | | | (900) sum(n8, n10) = all_4_17
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (169), (896), (897) imply:
% 253.76/64.29 | | | | | | (901) sum(n8, n10) = all_4_21
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_17, n10, n8,
% 253.76/64.29 | | | | | | simplifying with (104), (900) gives:
% 253.76/64.29 | | | | | | (902) all_4_17 = n7
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with all_4_18, all_4_17, n10, n8,
% 253.76/64.29 | | | | | | simplifying with (898), (900) gives:
% 253.76/64.29 | | | | | | (903) all_4_17 = all_4_18
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with all_4_17, all_4_16, n10, n8,
% 253.76/64.29 | | | | | | simplifying with (899), (900) gives:
% 253.76/64.29 | | | | | | (904) all_4_16 = all_4_17
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with all_4_21, all_4_16, n10, n8,
% 253.76/64.29 | | | | | | simplifying with (899), (901) gives:
% 253.76/64.29 | | | | | | (905) all_4_16 = all_4_21
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (904), (905) imply:
% 253.76/64.29 | | | | | | (906) all_4_17 = all_4_21
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | SIMP: (906) implies:
% 253.76/64.29 | | | | | | (907) all_4_17 = all_4_21
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (902), (903) imply:
% 253.76/64.29 | | | | | | (908) all_4_18 = n7
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (903), (907) imply:
% 253.76/64.29 | | | | | | (909) all_4_18 = all_4_21
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (908), (909) imply:
% 253.76/64.29 | | | | | | (910) all_4_21 = n7
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (905), (910) imply:
% 253.76/64.29 | | | | | | (911) all_4_16 = n7
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (174), (902), (911) imply:
% 253.76/64.29 | | | | | | (912) sum(n7, n7) = all_4_84
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (171), (908), (910) imply:
% 253.76/64.29 | | | | | | (913) sum(n7, n7) = all_4_85
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_84, n7, n7,
% 253.76/64.29 | | | | | | simplifying with (90), (912) gives:
% 253.76/64.29 | | | | | | (914) all_4_84 = n3
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (4) with all_4_85, all_4_84, n7, n7,
% 253.76/64.29 | | | | | | simplifying with (912), (913) gives:
% 253.76/64.29 | | | | | | (915) all_4_84 = all_4_85
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | COMBINE_EQS: (914), (915) imply:
% 253.76/64.29 | | | | | | (916) all_4_85 = n3
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | SIMP: (916) implies:
% 253.76/64.29 | | | | | | (917) all_4_85 = n3
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (246), (914) imply:
% 253.76/64.29 | | | | | | (918) pred(n3) = all_4_12
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (245), (917) imply:
% 253.76/64.29 | | | | | | (919) pred(n3) = all_4_15
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (215), (914) imply:
% 253.76/64.29 | | | | | | (920) succ(n3) = all_4_14
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REDUCE: (214), (917) imply:
% 253.76/64.29 | | | | | | (921) succ(n3) = all_4_11
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | GROUND_INST: instantiating (2) with n4, all_4_11, n3, simplifying
% 253.76/64.29 | | | | | | with (190), (921) gives:
% 253.76/64.29 | | | | | | (922) all_4_11 = n4
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (175), (176), (177), (178),
% 253.76/64.29 | | | | | | (179), (180), (221), (692), (918), (919), (920), (921),
% 253.76/64.29 | | | | | | (922) are inconsistent by sub-proof #191.
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | Case 2:
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | (923) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 253.76/64.29 | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 253.76/64.29 | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | BETA: splitting (923) gives:
% 253.76/64.29 | | | | | |
% 253.76/64.29 | | | | | | Case 1:
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | (924) all_4_100 = n8
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (230), (924) imply:
% 253.76/64.29 | | | | | | | (925) pred(n8) = all_4_76
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (199), (924) imply:
% 253.76/64.29 | | | | | | | (926) succ(n8) = all_4_78
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8, simplifying
% 253.76/64.29 | | | | | | | with (195), (926) gives:
% 253.76/64.29 | | | | | | | (927) all_4_78 = n9
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8, simplifying
% 253.76/64.29 | | | | | | | with (226), (925) gives:
% 253.76/64.29 | | | | | | | (928) all_4_76 = n7
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (130), (927), (928) imply:
% 253.76/64.29 | | | | | | | (929) sum(n7, n9) = all_4_72
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (257), (928) imply:
% 253.76/64.29 | | | | | | | (930) sum(n7, n0) = all_4_74
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (259), (927) imply:
% 253.76/64.29 | | | | | | | (931) sum(n9, n9) = all_4_77
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n0, n7,
% 253.76/64.29 | | | | | | | simplifying with (83), (930) gives:
% 253.76/64.29 | | | | | | | (932) all_4_74 = n7
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 253.76/64.29 | | | | | | | simplifying with (92), (929) gives:
% 253.76/64.29 | | | | | | | (933) all_4_72 = n5
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n9, n9,
% 253.76/64.29 | | | | | | | simplifying with (114), (931) gives:
% 253.76/64.29 | | | | | | | (934) all_4_77 = n7
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (129), (932), (934) imply:
% 253.76/64.29 | | | | | | | (935) sum(n7, n7) = all_4_99
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | REDUCE: (261), (933) imply:
% 253.76/64.29 | | | | | | | (936) sum(n9, n5) = all_4_98
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 253.76/64.29 | | | | | | | simplifying with (90), (935) gives:
% 253.76/64.29 | | | | | | | (937) all_4_99 = n3
% 253.76/64.29 | | | | | | |
% 253.76/64.29 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n5, n9,
% 253.76/64.29 | | | | | | | simplifying with (110), (936) gives:
% 253.76/64.29 | | | | | | | (938) all_4_98 = n3
% 253.76/64.29 | | | | | | |
% 253.76/64.30 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 253.76/64.30 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 253.76/64.30 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 253.76/64.30 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 253.76/64.30 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 253.76/64.30 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 253.76/64.30 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 253.76/64.30 | | | | | | | (178), (179), (180), (188), (190), (191), (192), (196),
% 253.76/64.30 | | | | | | | (200), (201), (202), (203), (204), (205), (206), (207),
% 253.76/64.30 | | | | | | | (208), (209), (210), (211), (212), (213), (214), (215),
% 253.76/64.30 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 253.76/64.30 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 253.76/64.30 | | | | | | | (242), (243), (244), (245), (246), (692), (935), (937),
% 253.76/64.30 | | | | | | | (938) are inconsistent by sub-proof #190.
% 253.76/64.30 | | | | | | |
% 253.76/64.30 | | | | | | Case 2:
% 253.76/64.30 | | | | | | |
% 253.76/64.30 | | | | | | | (939) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 253.76/64.30 | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 253.76/64.30 | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 253.76/64.30 | | | | | | |
% 253.76/64.30 | | | | | | | BETA: splitting (939) gives:
% 253.76/64.30 | | | | | | |
% 253.76/64.30 | | | | | | | Case 1:
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | (940) all_4_100 = n7
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (230), (940) imply:
% 253.76/64.30 | | | | | | | | (941) pred(n7) = all_4_76
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (199), (940) imply:
% 253.76/64.30 | | | | | | | | (942) succ(n7) = all_4_78
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 253.76/64.30 | | | | | | | | simplifying with (194), (942) gives:
% 253.76/64.30 | | | | | | | | (943) all_4_78 = n8
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 253.76/64.30 | | | | | | | | simplifying with (225), (941) gives:
% 253.76/64.30 | | | | | | | | (944) all_4_76 = n6
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (130), (943), (944) imply:
% 253.76/64.30 | | | | | | | | (945) sum(n6, n8) = all_4_72
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (257), (944) imply:
% 253.76/64.30 | | | | | | | | (946) sum(n6, n0) = all_4_74
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (259), (943) imply:
% 253.76/64.30 | | | | | | | | (947) sum(n9, n8) = all_4_77
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n0, n6,
% 253.76/64.30 | | | | | | | | simplifying with (72), (946) gives:
% 253.76/64.30 | | | | | | | | (948) all_4_74 = n6
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 253.76/64.30 | | | | | | | | simplifying with (80), (945) gives:
% 253.76/64.30 | | | | | | | | (949) all_4_72 = n3
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n8, n9,
% 253.76/64.30 | | | | | | | | simplifying with (113), (947) gives:
% 253.76/64.30 | | | | | | | | (950) all_4_77 = n6
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (129), (948), (950) imply:
% 253.76/64.30 | | | | | | | | (951) sum(n6, n6) = all_4_99
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REDUCE: (261), (949) imply:
% 253.76/64.30 | | | | | | | | (952) sum(n9, n3) = all_4_98
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 253.76/64.30 | | | | | | | | simplifying with (78), (951) gives:
% 253.76/64.30 | | | | | | | | (953) all_4_99 = n1
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n3, n9,
% 253.76/64.30 | | | | | | | | simplifying with (108), (952) gives:
% 253.76/64.30 | | | | | | | | (954) all_4_98 = n1
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 253.76/64.30 | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 253.76/64.30 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.30 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.30 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.30 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.30 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.30 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.30 | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 253.76/64.30 | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.30 | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.30 | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 253.76/64.30 | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.30 | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.30 | | | | | | | | (245), (246), (692), (951), (953), (954) are
% 253.76/64.30 | | | | | | | | inconsistent by sub-proof #189.
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | Case 2:
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | (955) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 253.76/64.30 | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 253.76/64.30 | | | | | | | | all_4_100 = n0
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | BETA: splitting (955) gives:
% 253.76/64.30 | | | | | | | |
% 253.76/64.30 | | | | | | | | Case 1:
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | (956) all_4_100 = n6
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (230), (956) imply:
% 253.76/64.30 | | | | | | | | | (957) pred(n6) = all_4_76
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (199), (956) imply:
% 253.76/64.30 | | | | | | | | | (958) succ(n6) = all_4_78
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 253.76/64.30 | | | | | | | | | simplifying with (193), (958) gives:
% 253.76/64.30 | | | | | | | | | (959) all_4_78 = n7
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 253.76/64.30 | | | | | | | | | simplifying with (224), (957) gives:
% 253.76/64.30 | | | | | | | | | (960) all_4_76 = n5
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (130), (959), (960) imply:
% 253.76/64.30 | | | | | | | | | (961) sum(n5, n7) = all_4_72
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (257), (960) imply:
% 253.76/64.30 | | | | | | | | | (962) sum(n5, n0) = all_4_74
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (259), (959) imply:
% 253.76/64.30 | | | | | | | | | (963) sum(n9, n7) = all_4_77
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n0, n5,
% 253.76/64.30 | | | | | | | | | simplifying with (61), (962) gives:
% 253.76/64.30 | | | | | | | | | (964) all_4_74 = n5
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 253.76/64.30 | | | | | | | | | simplifying with (68), (961) gives:
% 253.76/64.30 | | | | | | | | | (965) all_4_72 = n1
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n7, n9,
% 253.76/64.30 | | | | | | | | | simplifying with (112), (963) gives:
% 253.76/64.30 | | | | | | | | | (966) all_4_77 = n5
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (129), (964), (966) imply:
% 253.76/64.30 | | | | | | | | | (967) sum(n5, n5) = all_4_99
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REDUCE: (261), (965) imply:
% 253.76/64.30 | | | | | | | | | (968) sum(n9, n1) = all_4_98
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 253.76/64.30 | | | | | | | | | simplifying with (66), (967) gives:
% 253.76/64.30 | | | | | | | | | (969) all_4_99 = n10
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n1, n9,
% 253.76/64.30 | | | | | | | | | simplifying with (106), (968) gives:
% 253.76/64.30 | | | | | | | | | (970) all_4_98 = n10
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 253.76/64.30 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.76/64.30 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.30 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.30 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.30 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.30 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.30 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.30 | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 253.76/64.30 | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.30 | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.30 | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 253.76/64.30 | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.30 | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.30 | | | | | | | | | (245), (246), (692), (967), (969), (970) are
% 253.76/64.30 | | | | | | | | | inconsistent by sub-proof #188.
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | Case 2:
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | (971) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 253.76/64.30 | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | BETA: splitting (971) gives:
% 253.76/64.30 | | | | | | | | |
% 253.76/64.30 | | | | | | | | | Case 1:
% 253.76/64.30 | | | | | | | | | |
% 253.76/64.30 | | | | | | | | | | (972) all_4_100 = n5
% 253.76/64.30 | | | | | | | | | |
% 253.76/64.30 | | | | | | | | | | REDUCE: (230), (972) imply:
% 253.76/64.31 | | | | | | | | | | (973) pred(n5) = all_4_76
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REDUCE: (199), (972) imply:
% 253.76/64.31 | | | | | | | | | | (974) succ(n5) = all_4_78
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 253.76/64.31 | | | | | | | | | | simplifying with (192), (974) gives:
% 253.76/64.31 | | | | | | | | | | (975) all_4_78 = n6
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 253.76/64.31 | | | | | | | | | | simplifying with (223), (973) gives:
% 253.76/64.31 | | | | | | | | | | (976) all_4_76 = n4
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REDUCE: (130), (975), (976) imply:
% 253.76/64.31 | | | | | | | | | | (977) sum(n4, n6) = all_4_72
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REDUCE: (257), (976) imply:
% 253.76/64.31 | | | | | | | | | | (978) sum(n4, n0) = all_4_74
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REDUCE: (259), (975) imply:
% 253.76/64.31 | | | | | | | | | | (979) sum(n9, n6) = all_4_77
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 253.76/64.31 | | | | | | | | | | simplifying with (50), (978) gives:
% 253.76/64.31 | | | | | | | | | | (980) all_4_74 = n4
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 253.76/64.31 | | | | | | | | | | simplifying with (56), (977) gives:
% 253.76/64.31 | | | | | | | | | | (981) all_4_72 = n10
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 253.76/64.31 | | | | | | | | | | simplifying with (111), (979) gives:
% 253.76/64.31 | | | | | | | | | | (982) all_4_77 = n4
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REDUCE: (129), (980), (982) imply:
% 253.76/64.31 | | | | | | | | | | (983) sum(n4, n4) = all_4_99
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REDUCE: (261), (981) imply:
% 253.76/64.31 | | | | | | | | | | (984) sum(n9, n10) = all_4_98
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 253.76/64.31 | | | | | | | | | | simplifying with (54), (983) gives:
% 253.76/64.31 | | | | | | | | | | (985) all_4_99 = n8
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 253.76/64.31 | | | | | | | | | | simplifying with (115), (984) gives:
% 253.76/64.31 | | | | | | | | | | (986) all_4_98 = n8
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 253.76/64.31 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.76/64.31 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.31 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.31 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.31 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.31 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.31 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.31 | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 253.76/64.31 | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.31 | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.31 | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 253.76/64.31 | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.31 | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.31 | | | | | | | | | | (245), (246), (692), (983), (985), (986) are
% 253.76/64.31 | | | | | | | | | | inconsistent by sub-proof #187.
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | Case 2:
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | (987) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 253.76/64.31 | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | BETA: splitting (987) gives:
% 253.76/64.31 | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | Case 1:
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | (988) all_4_100 = n4
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (230), (988) imply:
% 253.76/64.31 | | | | | | | | | | | (989) pred(n4) = all_4_76
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (199), (988) imply:
% 253.76/64.31 | | | | | | | | | | | (990) succ(n4) = all_4_78
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 253.76/64.31 | | | | | | | | | | | simplifying with (191), (990) gives:
% 253.76/64.31 | | | | | | | | | | | (991) all_4_78 = n5
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 253.76/64.31 | | | | | | | | | | | simplifying with (222), (989) gives:
% 253.76/64.31 | | | | | | | | | | | (992) all_4_76 = n3
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (130), (991), (992) imply:
% 253.76/64.31 | | | | | | | | | | | (993) sum(n3, n5) = all_4_72
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (257), (992) imply:
% 253.76/64.31 | | | | | | | | | | | (994) sum(n3, n0) = all_4_74
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (259), (991) imply:
% 253.76/64.31 | | | | | | | | | | | (995) sum(n9, n5) = all_4_77
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 253.76/64.31 | | | | | | | | | | | simplifying with (39), (994) gives:
% 253.76/64.31 | | | | | | | | | | | (996) all_4_74 = n3
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 253.76/64.31 | | | | | | | | | | | simplifying with (44), (993) gives:
% 253.76/64.31 | | | | | | | | | | | (997) all_4_72 = n8
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 253.76/64.31 | | | | | | | | | | | simplifying with (110), (995) gives:
% 253.76/64.31 | | | | | | | | | | | (998) all_4_77 = n3
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (129), (996), (998) imply:
% 253.76/64.31 | | | | | | | | | | | (999) sum(n3, n3) = all_4_99
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REDUCE: (261), (997) imply:
% 253.76/64.31 | | | | | | | | | | | (1000) sum(n9, n8) = all_4_98
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 253.76/64.31 | | | | | | | | | | | simplifying with (42), (999) gives:
% 253.76/64.31 | | | | | | | | | | | (1001) all_4_99 = n6
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 253.76/64.31 | | | | | | | | | | | simplifying with (113), (1000) gives:
% 253.76/64.31 | | | | | | | | | | | (1002) all_4_98 = n6
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 253.76/64.31 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.76/64.31 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.31 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.31 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.31 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.31 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.31 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.31 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 253.76/64.31 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.31 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.31 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 253.76/64.31 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.31 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.31 | | | | | | | | | | | (245), (246), (692), (999), (1001), (1002) are
% 253.76/64.31 | | | | | | | | | | | inconsistent by sub-proof #186.
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | Case 2:
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | (1003) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 253.76/64.31 | | | | | | | | | | | all_4_100 = n0
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | BETA: splitting (1003) gives:
% 253.76/64.31 | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | Case 1:
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | (1004) all_4_100 = n3
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (230), (1004) imply:
% 253.76/64.31 | | | | | | | | | | | | (1005) pred(n3) = all_4_76
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (199), (1004) imply:
% 253.76/64.31 | | | | | | | | | | | | (1006) succ(n3) = all_4_78
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (190), (1006) gives:
% 253.76/64.31 | | | | | | | | | | | | (1007) all_4_78 = n4
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (221), (1005) gives:
% 253.76/64.31 | | | | | | | | | | | | (1008) all_4_76 = n2
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (130), (1007), (1008) imply:
% 253.76/64.31 | | | | | | | | | | | | (1009) sum(n2, n4) = all_4_72
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (257), (1008) imply:
% 253.76/64.31 | | | | | | | | | | | | (1010) sum(n2, n0) = all_4_74
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (259), (1007) imply:
% 253.76/64.31 | | | | | | | | | | | | (1011) sum(n9, n4) = all_4_77
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (28), (1010) gives:
% 253.76/64.31 | | | | | | | | | | | | (1012) all_4_74 = n2
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (32), (1009) gives:
% 253.76/64.31 | | | | | | | | | | | | (1013) all_4_72 = n6
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (109), (1011) gives:
% 253.76/64.31 | | | | | | | | | | | | (1014) all_4_77 = n2
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (129), (1012), (1014) imply:
% 253.76/64.31 | | | | | | | | | | | | (1015) sum(n2, n2) = all_4_99
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | REDUCE: (261), (1013) imply:
% 253.76/64.31 | | | | | | | | | | | | (1016) sum(n9, n6) = all_4_98
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (30), (1015) gives:
% 253.76/64.31 | | | | | | | | | | | | (1017) all_4_99 = n4
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.31 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 253.76/64.31 | | | | | | | | | | | | simplifying with (111), (1016) gives:
% 253.76/64.31 | | | | | | | | | | | | (1018) all_4_98 = n4
% 253.76/64.31 | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 253.76/64.32 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 253.76/64.32 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.32 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.32 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.32 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.32 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.32 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.32 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 253.76/64.32 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.32 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.32 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 253.76/64.32 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.32 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.32 | | | | | | | | | | | | (245), (246), (692), (1015), (1017), (1018) are
% 253.76/64.32 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 253.76/64.32 | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | Case 2:
% 253.76/64.32 | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | (1019) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 253.76/64.32 | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | BETA: splitting (1019) gives:
% 253.76/64.32 | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | Case 1:
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | (1020) all_4_100 = n2
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (230), (1020) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1021) pred(n2) = all_4_76
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (199), (1020) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1022) succ(n2) = all_4_78
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (189), (1022) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1023) all_4_78 = n3
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (220), (1021) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1024) all_4_76 = n1
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (130), (1023), (1024) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1025) sum(n1, n3) = all_4_72
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (257), (1024) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1026) sum(n1, n0) = all_4_74
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (259), (1023) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1027) sum(n9, n3) = all_4_77
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (17), (1026) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1028) all_4_74 = n1
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (20), (1025) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1029) all_4_72 = n4
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (108), (1027) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1030) all_4_77 = n1
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (129), (1028), (1030) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1031) sum(n1, n1) = all_4_99
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REDUCE: (261), (1029) imply:
% 253.76/64.32 | | | | | | | | | | | | | (1032) sum(n9, n4) = all_4_98
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (18), (1031) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1033) all_4_99 = n2
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 253.76/64.32 | | | | | | | | | | | | | simplifying with (109), (1032) gives:
% 253.76/64.32 | | | | | | | | | | | | | (1034) all_4_98 = n2
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 253.76/64.32 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 253.76/64.32 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.32 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.32 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.32 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.32 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.32 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.32 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 253.76/64.32 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.32 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.32 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 253.76/64.32 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.32 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.32 | | | | | | | | | | | | | (245), (246), (692), (1031), (1033), (1034) are
% 253.76/64.32 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | Case 2:
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | (1035) all_4_100 = n1 | all_4_100 = n0
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 253.76/64.32 | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | Case 1:
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | (1036) all_4_100 = n1
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (230), (1036) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1037) pred(n1) = all_4_76
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (199), (1036) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1038) succ(n1) = all_4_78
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (188), (1038) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1039) all_4_78 = n2
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (219), (1037) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1040) all_4_76 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (130), (1039), (1040) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1041) sum(n0, n2) = all_4_72
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (257), (1040) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1042) sum(n0, n0) = all_4_74
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (259), (1039) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1043) sum(n9, n2) = all_4_77
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (6), (1042) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1044) all_4_74 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (8), (1041) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1045) all_4_72 = n2
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (107), (1043) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1046) all_4_77 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (129), (1044), (1046) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1047) sum(n0, n0) = all_4_99
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (261), (1045) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1048) sum(n9, n2) = all_4_98
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (6), (1047) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1049) all_4_99 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (107), (1048) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1050) all_4_98 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 253.76/64.32 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.32 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.32 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.32 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.32 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.32 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.32 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 253.76/64.32 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 253.76/64.32 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 253.76/64.32 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 253.76/64.32 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 253.76/64.32 | | | | | | | | | | | | | | (246), (692), (1047), (1049), (1050) are
% 253.76/64.32 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | Case 2:
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | (1051) all_4_100 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (230), (1051) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1052) pred(n0) = all_4_76
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (199), (1051) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1053) succ(n0) = all_4_78
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (187), (1053) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1054) all_4_78 = n1
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (218), (1052) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1055) all_4_76 = n10
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (130), (1054), (1055) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1056) sum(n10, n1) = all_4_72
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (257), (1055) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1057) sum(n10, n0) = all_4_74
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (259), (1054) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1058) sum(n9, n1) = all_4_77
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (106), (1058) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1059) all_4_77 = n10
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (116), (1057) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1060) all_4_74 = n10
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (117), (1056) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1061) all_4_72 = n0
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (129), (1059), (1060) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1062) sum(n10, n10) = all_4_99
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | REDUCE: (261), (1061) imply:
% 253.76/64.32 | | | | | | | | | | | | | | (1063) sum(n9, n0) = all_4_98
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (105), (1063) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1064) all_4_98 = n9
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 253.76/64.32 | | | | | | | | | | | | | | simplifying with (126), (1062) gives:
% 253.76/64.32 | | | | | | | | | | | | | | (1065) all_4_99 = n9
% 253.76/64.32 | | | | | | | | | | | | | |
% 253.76/64.33 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 253.76/64.33 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 253.76/64.33 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 253.76/64.33 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 253.76/64.33 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 253.76/64.33 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 253.76/64.33 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 253.76/64.33 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 253.76/64.33 | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 253.76/64.33 | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 253.76/64.33 | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 253.76/64.33 | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 253.76/64.33 | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 253.76/64.33 | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 253.76/64.33 | | | | | | | | | | | | | | (245), (246), (692), (1062), (1064), (1065) are
% 253.76/64.33 | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 253.76/64.33 | | | | | | | | | | | | | |
% 253.76/64.33 | | | | | | | | | | | | | End of split
% 253.76/64.33 | | | | | | | | | | | | |
% 253.76/64.33 | | | | | | | | | | | | End of split
% 253.76/64.33 | | | | | | | | | | | |
% 253.76/64.33 | | | | | | | | | | | End of split
% 253.76/64.33 | | | | | | | | | | |
% 253.76/64.33 | | | | | | | | | | End of split
% 253.76/64.33 | | | | | | | | | |
% 253.76/64.33 | | | | | | | | | End of split
% 253.76/64.33 | | | | | | | | |
% 253.76/64.33 | | | | | | | | End of split
% 253.76/64.33 | | | | | | | |
% 253.76/64.33 | | | | | | | End of split
% 253.76/64.33 | | | | | | |
% 253.76/64.33 | | | | | | End of split
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | End of split
% 253.76/64.33 | | | | |
% 253.76/64.33 | | | | Case 2:
% 253.76/64.33 | | | | |
% 253.76/64.33 | | | | | (1066) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~
% 253.76/64.33 | | | | | (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~
% 253.76/64.33 | | | | | (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 253.76/64.33 | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 253.76/64.33 | | | | |
% 253.76/64.33 | | | | | BETA: splitting (691) gives:
% 253.76/64.33 | | | | |
% 253.76/64.33 | | | | | Case 1:
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | (1067) all_4_100 = n9
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (230), (1067) imply:
% 253.76/64.33 | | | | | | (1068) pred(n9) = all_4_76
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (199), (1067) imply:
% 253.76/64.33 | | | | | | (1069) succ(n9) = all_4_78
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 253.76/64.33 | | | | | | with (196), (1069) gives:
% 253.76/64.33 | | | | | | (1070) all_4_78 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 253.76/64.33 | | | | | | with (227), (1068) gives:
% 253.76/64.33 | | | | | | (1071) all_4_76 = n8
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (130), (1070), (1071) imply:
% 253.76/64.33 | | | | | | (1072) sum(n8, n10) = all_4_72
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (257), (1071) imply:
% 253.76/64.33 | | | | | | (1073) sum(n8, n0) = all_4_74
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (259), (1070) imply:
% 253.76/64.33 | | | | | | (1074) sum(n9, n10) = all_4_77
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n0, n8,
% 253.76/64.33 | | | | | | simplifying with (94), (1073) gives:
% 253.76/64.33 | | | | | | (1075) all_4_74 = n8
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_72, n10, n8,
% 253.76/64.33 | | | | | | simplifying with (104), (1072) gives:
% 253.76/64.33 | | | | | | (1076) all_4_72 = n7
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n10, n9,
% 253.76/64.33 | | | | | | simplifying with (115), (1074) gives:
% 253.76/64.33 | | | | | | (1077) all_4_77 = n8
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (129), (1075), (1077) imply:
% 253.76/64.33 | | | | | | (1078) sum(n8, n8) = all_4_99
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (261), (1076) imply:
% 253.76/64.33 | | | | | | (1079) sum(n9, n7) = all_4_98
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 253.76/64.33 | | | | | | simplifying with (102), (1078) gives:
% 253.76/64.33 | | | | | | (1080) all_4_99 = n5
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n7, n9,
% 253.76/64.33 | | | | | | simplifying with (112), (1079) gives:
% 253.76/64.33 | | | | | | (1081) all_4_98 = n5
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (232), (1081) imply:
% 253.76/64.33 | | | | | | (1082) pred(n5) = all_4_68
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (231), (1080) imply:
% 253.76/64.33 | | | | | | (1083) pred(n5) = all_4_71
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (201), (1081) imply:
% 253.76/64.33 | | | | | | (1084) succ(n5) = all_4_70
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (200), (1080) imply:
% 253.76/64.33 | | | | | | (1085) succ(n5) = all_4_67
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (2) with n6, all_4_67, n5, simplifying
% 253.76/64.33 | | | | | | with (192), (1085) gives:
% 253.76/64.33 | | | | | | (1086) all_4_67 = n6
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n5,
% 253.76/64.33 | | | | | | simplifying with (1084), (1085) gives:
% 253.76/64.33 | | | | | | (1087) all_4_67 = all_4_70
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (3) with n4, all_4_68, n5, simplifying
% 253.76/64.33 | | | | | | with (223), (1082) gives:
% 253.76/64.33 | | | | | | (1088) all_4_68 = n4
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n5,
% 253.76/64.33 | | | | | | simplifying with (1082), (1083) gives:
% 253.76/64.33 | | | | | | (1089) all_4_68 = all_4_71
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1086), (1087) imply:
% 253.76/64.33 | | | | | | (1090) all_4_70 = n6
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | SIMP: (1090) implies:
% 253.76/64.33 | | | | | | (1091) all_4_70 = n6
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1088), (1089) imply:
% 253.76/64.33 | | | | | | (1092) all_4_71 = n4
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (137), (1086), (1088) imply:
% 253.76/64.33 | | | | | | (1093) sum(n4, n6) = all_4_66
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (136), (1088), (1091) imply:
% 253.76/64.33 | | | | | | (1094) sum(n4, n6) = all_4_64
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (134), (1086), (1092) imply:
% 253.76/64.33 | | | | | | (1095) sum(n4, n6) = all_4_65
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (133), (1091), (1092) imply:
% 253.76/64.33 | | | | | | (1096) sum(n4, n6) = all_4_69
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_65, n6, n4,
% 253.76/64.33 | | | | | | simplifying with (56), (1095) gives:
% 253.76/64.33 | | | | | | (1097) all_4_65 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n6, n4,
% 253.76/64.33 | | | | | | simplifying with (1093), (1095) gives:
% 253.76/64.33 | | | | | | (1098) all_4_65 = all_4_66
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n6, n4,
% 253.76/64.33 | | | | | | simplifying with (1093), (1094) gives:
% 253.76/64.33 | | | | | | (1099) all_4_64 = all_4_66
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n6, n4,
% 253.76/64.33 | | | | | | simplifying with (1094), (1096) gives:
% 253.76/64.33 | | | | | | (1100) all_4_64 = all_4_69
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1099), (1100) imply:
% 253.76/64.33 | | | | | | (1101) all_4_66 = all_4_69
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | SIMP: (1101) implies:
% 253.76/64.33 | | | | | | (1102) all_4_66 = all_4_69
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1097), (1098) imply:
% 253.76/64.33 | | | | | | (1103) all_4_66 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | SIMP: (1103) implies:
% 253.76/64.33 | | | | | | (1104) all_4_66 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1102), (1104) imply:
% 253.76/64.33 | | | | | | (1105) all_4_69 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1100), (1105) imply:
% 253.76/64.33 | | | | | | (1106) all_4_64 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (138), (1097), (1106) imply:
% 253.76/64.33 | | | | | | (1107) sum(n10, n10) = all_4_96
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (135), (1104), (1105) imply:
% 253.76/64.33 | | | | | | (1108) sum(n10, n10) = all_4_97
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n9, all_4_96, n10, n10,
% 253.76/64.33 | | | | | | simplifying with (126), (1107) gives:
% 253.76/64.33 | | | | | | (1109) all_4_96 = n9
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n10, n10,
% 253.76/64.33 | | | | | | simplifying with (1107), (1108) gives:
% 253.76/64.33 | | | | | | (1110) all_4_96 = all_4_97
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1109), (1110) imply:
% 253.76/64.33 | | | | | | (1111) all_4_97 = n9
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (234), (1109) imply:
% 253.76/64.33 | | | | | | (1112) pred(n9) = all_4_60
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (233), (1111) imply:
% 253.76/64.33 | | | | | | (1113) pred(n9) = all_4_63
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (203), (1109) imply:
% 253.76/64.33 | | | | | | (1114) succ(n9) = all_4_62
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (202), (1111) imply:
% 253.76/64.33 | | | | | | (1115) succ(n9) = all_4_59
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_59, n9, simplifying
% 253.76/64.33 | | | | | | with (196), (1115) gives:
% 253.76/64.33 | | | | | | (1116) all_4_59 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n9,
% 253.76/64.33 | | | | | | simplifying with (1114), (1115) gives:
% 253.76/64.33 | | | | | | (1117) all_4_59 = all_4_62
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_60, n9, simplifying
% 253.76/64.33 | | | | | | with (227), (1112) gives:
% 253.76/64.33 | | | | | | (1118) all_4_60 = n8
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n9,
% 253.76/64.33 | | | | | | simplifying with (1112), (1113) gives:
% 253.76/64.33 | | | | | | (1119) all_4_60 = all_4_63
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1116), (1117) imply:
% 253.76/64.33 | | | | | | (1120) all_4_62 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | SIMP: (1120) implies:
% 253.76/64.33 | | | | | | (1121) all_4_62 = n10
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1118), (1119) imply:
% 253.76/64.33 | | | | | | (1122) all_4_63 = n8
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (143), (1116), (1118) imply:
% 253.76/64.33 | | | | | | (1123) sum(n8, n10) = all_4_58
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (142), (1118), (1121) imply:
% 253.76/64.33 | | | | | | (1124) sum(n8, n10) = all_4_56
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (140), (1116), (1122) imply:
% 253.76/64.33 | | | | | | (1125) sum(n8, n10) = all_4_57
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (139), (1121), (1122) imply:
% 253.76/64.33 | | | | | | (1126) sum(n8, n10) = all_4_61
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_58, n10, n8,
% 253.76/64.33 | | | | | | simplifying with (104), (1123) gives:
% 253.76/64.33 | | | | | | (1127) all_4_58 = n7
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n10, n8,
% 253.76/64.33 | | | | | | simplifying with (1123), (1125) gives:
% 253.76/64.33 | | | | | | (1128) all_4_57 = all_4_58
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n10, n8,
% 253.76/64.33 | | | | | | simplifying with (1124), (1125) gives:
% 253.76/64.33 | | | | | | (1129) all_4_56 = all_4_57
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n10, n8,
% 253.76/64.33 | | | | | | simplifying with (1124), (1126) gives:
% 253.76/64.33 | | | | | | (1130) all_4_56 = all_4_61
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1129), (1130) imply:
% 253.76/64.33 | | | | | | (1131) all_4_57 = all_4_61
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | SIMP: (1131) implies:
% 253.76/64.33 | | | | | | (1132) all_4_57 = all_4_61
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1128), (1132) imply:
% 253.76/64.33 | | | | | | (1133) all_4_58 = all_4_61
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | SIMP: (1133) implies:
% 253.76/64.33 | | | | | | (1134) all_4_58 = all_4_61
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1127), (1134) imply:
% 253.76/64.33 | | | | | | (1135) all_4_61 = n7
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1132), (1135) imply:
% 253.76/64.33 | | | | | | (1136) all_4_57 = n7
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1130), (1135) imply:
% 253.76/64.33 | | | | | | (1137) all_4_56 = n7
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (144), (1136), (1137) imply:
% 253.76/64.33 | | | | | | (1138) sum(n7, n7) = all_4_94
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (141), (1127), (1135) imply:
% 253.76/64.33 | | | | | | (1139) sum(n7, n7) = all_4_95
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_94, n7, n7,
% 253.76/64.33 | | | | | | simplifying with (90), (1138) gives:
% 253.76/64.33 | | | | | | (1140) all_4_94 = n3
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n7, n7,
% 253.76/64.33 | | | | | | simplifying with (1138), (1139) gives:
% 253.76/64.33 | | | | | | (1141) all_4_94 = all_4_95
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | COMBINE_EQS: (1140), (1141) imply:
% 253.76/64.33 | | | | | | (1142) all_4_95 = n3
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (236), (1140) imply:
% 253.76/64.33 | | | | | | (1143) pred(n3) = all_4_52
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (235), (1142) imply:
% 253.76/64.33 | | | | | | (1144) pred(n3) = all_4_55
% 253.76/64.33 | | | | | |
% 253.76/64.33 | | | | | | REDUCE: (205), (1140) imply:
% 253.76/64.33 | | | | | | (1145) succ(n3) = all_4_54
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (204), (1142) imply:
% 253.76/64.34 | | | | | | (1146) succ(n3) = all_4_51
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (2) with n4, all_4_51, n3, simplifying
% 253.76/64.34 | | | | | | with (190), (1146) gives:
% 253.76/64.34 | | | | | | (1147) all_4_51 = n4
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n3,
% 253.76/64.34 | | | | | | simplifying with (1145), (1146) gives:
% 253.76/64.34 | | | | | | (1148) all_4_51 = all_4_54
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (3) with n2, all_4_52, n3, simplifying
% 253.76/64.34 | | | | | | with (221), (1143) gives:
% 253.76/64.34 | | | | | | (1149) all_4_52 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n3,
% 253.76/64.34 | | | | | | simplifying with (1143), (1144) gives:
% 253.76/64.34 | | | | | | (1150) all_4_52 = all_4_55
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1147), (1148) imply:
% 253.76/64.34 | | | | | | (1151) all_4_54 = n4
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1151) implies:
% 253.76/64.34 | | | | | | (1152) all_4_54 = n4
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1149), (1150) imply:
% 253.76/64.34 | | | | | | (1153) all_4_55 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (149), (1147), (1149) imply:
% 253.76/64.34 | | | | | | (1154) sum(n2, n4) = all_4_50
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (148), (1149), (1152) imply:
% 253.76/64.34 | | | | | | (1155) sum(n2, n4) = all_4_48
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (146), (1147), (1153) imply:
% 253.76/64.34 | | | | | | (1156) sum(n2, n4) = all_4_49
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (145), (1152), (1153) imply:
% 253.76/64.34 | | | | | | (1157) sum(n2, n4) = all_4_53
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with n6, all_4_50, n4, n2,
% 253.76/64.34 | | | | | | simplifying with (32), (1154) gives:
% 253.76/64.34 | | | | | | (1158) all_4_50 = n6
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n4, n2,
% 253.76/64.34 | | | | | | simplifying with (1154), (1156) gives:
% 253.76/64.34 | | | | | | (1159) all_4_49 = all_4_50
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n4, n2,
% 253.76/64.34 | | | | | | simplifying with (1155), (1156) gives:
% 253.76/64.34 | | | | | | (1160) all_4_48 = all_4_49
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n4, n2,
% 253.76/64.34 | | | | | | simplifying with (1155), (1157) gives:
% 253.76/64.34 | | | | | | (1161) all_4_48 = all_4_53
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1160), (1161) imply:
% 253.76/64.34 | | | | | | (1162) all_4_49 = all_4_53
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1162) implies:
% 253.76/64.34 | | | | | | (1163) all_4_49 = all_4_53
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1159), (1163) imply:
% 253.76/64.34 | | | | | | (1164) all_4_50 = all_4_53
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1164) implies:
% 253.76/64.34 | | | | | | (1165) all_4_50 = all_4_53
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1158), (1165) imply:
% 253.76/64.34 | | | | | | (1166) all_4_53 = n6
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1163), (1166) imply:
% 253.76/64.34 | | | | | | (1167) all_4_49 = n6
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1161), (1166) imply:
% 253.76/64.34 | | | | | | (1168) all_4_48 = n6
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (150), (1167), (1168) imply:
% 253.76/64.34 | | | | | | (1169) sum(n6, n6) = all_4_92
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (147), (1158), (1166) imply:
% 253.76/64.34 | | | | | | (1170) sum(n6, n6) = all_4_93
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with n1, all_4_92, n6, n6,
% 253.76/64.34 | | | | | | simplifying with (78), (1169) gives:
% 253.76/64.34 | | | | | | (1171) all_4_92 = n1
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n6, n6,
% 253.76/64.34 | | | | | | simplifying with (1169), (1170) gives:
% 253.76/64.34 | | | | | | (1172) all_4_92 = all_4_93
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1171), (1172) imply:
% 253.76/64.34 | | | | | | (1173) all_4_93 = n1
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1173) implies:
% 253.76/64.34 | | | | | | (1174) all_4_93 = n1
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (238), (1171) imply:
% 253.76/64.34 | | | | | | (1175) pred(n1) = all_4_44
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (237), (1174) imply:
% 253.76/64.34 | | | | | | (1176) pred(n1) = all_4_47
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (207), (1171) imply:
% 253.76/64.34 | | | | | | (1177) succ(n1) = all_4_46
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (206), (1174) imply:
% 253.76/64.34 | | | | | | (1178) succ(n1) = all_4_43
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (2) with n2, all_4_43, n1, simplifying
% 253.76/64.34 | | | | | | with (188), (1178) gives:
% 253.76/64.34 | | | | | | (1179) all_4_43 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n1,
% 253.76/64.34 | | | | | | simplifying with (1177), (1178) gives:
% 253.76/64.34 | | | | | | (1180) all_4_43 = all_4_46
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (3) with n0, all_4_44, n1, simplifying
% 253.76/64.34 | | | | | | with (219), (1175) gives:
% 253.76/64.34 | | | | | | (1181) all_4_44 = n0
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n1,
% 253.76/64.34 | | | | | | simplifying with (1175), (1176) gives:
% 253.76/64.34 | | | | | | (1182) all_4_44 = all_4_47
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1179), (1180) imply:
% 253.76/64.34 | | | | | | (1183) all_4_46 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1183) implies:
% 253.76/64.34 | | | | | | (1184) all_4_46 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1181), (1182) imply:
% 253.76/64.34 | | | | | | (1185) all_4_47 = n0
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (155), (1179), (1181) imply:
% 253.76/64.34 | | | | | | (1186) sum(n0, n2) = all_4_42
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (154), (1181), (1184) imply:
% 253.76/64.34 | | | | | | (1187) sum(n0, n2) = all_4_40
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (152), (1179), (1185) imply:
% 253.76/64.34 | | | | | | (1188) sum(n0, n2) = all_4_41
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (151), (1184), (1185) imply:
% 253.76/64.34 | | | | | | (1189) sum(n0, n2) = all_4_45
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with n2, all_4_42, n2, n0,
% 253.76/64.34 | | | | | | simplifying with (8), (1186) gives:
% 253.76/64.34 | | | | | | (1190) all_4_42 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n2, n0,
% 253.76/64.34 | | | | | | simplifying with (1186), (1188) gives:
% 253.76/64.34 | | | | | | (1191) all_4_41 = all_4_42
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n2, n0,
% 253.76/64.34 | | | | | | simplifying with (1187), (1188) gives:
% 253.76/64.34 | | | | | | (1192) all_4_40 = all_4_41
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n2, n0,
% 253.76/64.34 | | | | | | simplifying with (1187), (1189) gives:
% 253.76/64.34 | | | | | | (1193) all_4_40 = all_4_45
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1192), (1193) imply:
% 253.76/64.34 | | | | | | (1194) all_4_41 = all_4_45
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1194) implies:
% 253.76/64.34 | | | | | | (1195) all_4_41 = all_4_45
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1191), (1195) imply:
% 253.76/64.34 | | | | | | (1196) all_4_42 = all_4_45
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | SIMP: (1196) implies:
% 253.76/64.34 | | | | | | (1197) all_4_42 = all_4_45
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1190), (1197) imply:
% 253.76/64.34 | | | | | | (1198) all_4_45 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1195), (1198) imply:
% 253.76/64.34 | | | | | | (1199) all_4_41 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | COMBINE_EQS: (1193), (1198) imply:
% 253.76/64.34 | | | | | | (1200) all_4_40 = n2
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (156), (1199), (1200) imply:
% 253.76/64.34 | | | | | | (1201) sum(n2, n2) = all_4_90
% 253.76/64.34 | | | | | |
% 253.76/64.34 | | | | | | REDUCE: (153), (1190), (1198) imply:
% 254.20/64.34 | | | | | | (1202) sum(n2, n2) = all_4_91
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with n4, all_4_90, n2, n2,
% 254.20/64.34 | | | | | | simplifying with (30), (1201) gives:
% 254.20/64.34 | | | | | | (1203) all_4_90 = n4
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n2, n2,
% 254.20/64.34 | | | | | | simplifying with (1201), (1202) gives:
% 254.20/64.34 | | | | | | (1204) all_4_90 = all_4_91
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1203), (1204) imply:
% 254.20/64.34 | | | | | | (1205) all_4_91 = n4
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (240), (1203) imply:
% 254.20/64.34 | | | | | | (1206) pred(n4) = all_4_36
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (239), (1205) imply:
% 254.20/64.34 | | | | | | (1207) pred(n4) = all_4_39
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (209), (1203) imply:
% 254.20/64.34 | | | | | | (1208) succ(n4) = all_4_38
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (208), (1205) imply:
% 254.20/64.34 | | | | | | (1209) succ(n4) = all_4_35
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (2) with n5, all_4_35, n4, simplifying
% 254.20/64.34 | | | | | | with (191), (1209) gives:
% 254.20/64.34 | | | | | | (1210) all_4_35 = n5
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n4,
% 254.20/64.34 | | | | | | simplifying with (1208), (1209) gives:
% 254.20/64.34 | | | | | | (1211) all_4_35 = all_4_38
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (3) with n3, all_4_36, n4, simplifying
% 254.20/64.34 | | | | | | with (222), (1206) gives:
% 254.20/64.34 | | | | | | (1212) all_4_36 = n3
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n4,
% 254.20/64.34 | | | | | | simplifying with (1206), (1207) gives:
% 254.20/64.34 | | | | | | (1213) all_4_36 = all_4_39
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1210), (1211) imply:
% 254.20/64.34 | | | | | | (1214) all_4_38 = n5
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | SIMP: (1214) implies:
% 254.20/64.34 | | | | | | (1215) all_4_38 = n5
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1212), (1213) imply:
% 254.20/64.34 | | | | | | (1216) all_4_39 = n3
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (161), (1210), (1212) imply:
% 254.20/64.34 | | | | | | (1217) sum(n3, n5) = all_4_34
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (160), (1212), (1215) imply:
% 254.20/64.34 | | | | | | (1218) sum(n3, n5) = all_4_32
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (158), (1210), (1216) imply:
% 254.20/64.34 | | | | | | (1219) sum(n3, n5) = all_4_33
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (157), (1215), (1216) imply:
% 254.20/64.34 | | | | | | (1220) sum(n3, n5) = all_4_37
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_34, n5, n3,
% 254.20/64.34 | | | | | | simplifying with (44), (1217) gives:
% 254.20/64.34 | | | | | | (1221) all_4_34 = n8
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n5, n3,
% 254.20/64.34 | | | | | | simplifying with (1217), (1219) gives:
% 254.20/64.34 | | | | | | (1222) all_4_33 = all_4_34
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n5, n3,
% 254.20/64.34 | | | | | | simplifying with (1218), (1219) gives:
% 254.20/64.34 | | | | | | (1223) all_4_32 = all_4_33
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n5, n3,
% 254.20/64.34 | | | | | | simplifying with (1218), (1220) gives:
% 254.20/64.34 | | | | | | (1224) all_4_32 = all_4_37
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1223), (1224) imply:
% 254.20/64.34 | | | | | | (1225) all_4_33 = all_4_37
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | SIMP: (1225) implies:
% 254.20/64.34 | | | | | | (1226) all_4_33 = all_4_37
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1222), (1226) imply:
% 254.20/64.34 | | | | | | (1227) all_4_34 = all_4_37
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | SIMP: (1227) implies:
% 254.20/64.34 | | | | | | (1228) all_4_34 = all_4_37
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1221), (1228) imply:
% 254.20/64.34 | | | | | | (1229) all_4_37 = n8
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1226), (1229) imply:
% 254.20/64.34 | | | | | | (1230) all_4_33 = n8
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1224), (1229) imply:
% 254.20/64.34 | | | | | | (1231) all_4_32 = n8
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (162), (1230), (1231) imply:
% 254.20/64.34 | | | | | | (1232) sum(n8, n8) = all_4_88
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (159), (1221), (1229) imply:
% 254.20/64.34 | | | | | | (1233) sum(n8, n8) = all_4_89
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_88, n8, n8,
% 254.20/64.34 | | | | | | simplifying with (102), (1232) gives:
% 254.20/64.34 | | | | | | (1234) all_4_88 = n5
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n8, n8,
% 254.20/64.34 | | | | | | simplifying with (1232), (1233) gives:
% 254.20/64.34 | | | | | | (1235) all_4_88 = all_4_89
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | COMBINE_EQS: (1234), (1235) imply:
% 254.20/64.34 | | | | | | (1236) all_4_89 = n5
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (242), (1234) imply:
% 254.20/64.34 | | | | | | (1237) pred(n5) = all_4_28
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (241), (1236) imply:
% 254.20/64.34 | | | | | | (1238) pred(n5) = all_4_31
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (211), (1234) imply:
% 254.20/64.34 | | | | | | (1239) succ(n5) = all_4_30
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | REDUCE: (210), (1236) imply:
% 254.20/64.34 | | | | | | (1240) succ(n5) = all_4_27
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (2) with n6, all_4_27, n5, simplifying
% 254.20/64.34 | | | | | | with (192), (1240) gives:
% 254.20/64.34 | | | | | | (1241) all_4_27 = n6
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n5,
% 254.20/64.34 | | | | | | simplifying with (1239), (1240) gives:
% 254.20/64.34 | | | | | | (1242) all_4_27 = all_4_30
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (3) with n4, all_4_28, n5, simplifying
% 254.20/64.34 | | | | | | with (223), (1237) gives:
% 254.20/64.34 | | | | | | (1243) all_4_28 = n4
% 254.20/64.34 | | | | | |
% 254.20/64.34 | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n5,
% 254.20/64.34 | | | | | | simplifying with (1237), (1238) gives:
% 254.20/64.35 | | | | | | (1244) all_4_28 = all_4_31
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1241), (1242) imply:
% 254.20/64.35 | | | | | | (1245) all_4_30 = n6
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | SIMP: (1245) implies:
% 254.20/64.35 | | | | | | (1246) all_4_30 = n6
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1243), (1244) imply:
% 254.20/64.35 | | | | | | (1247) all_4_31 = n4
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (167), (1241), (1243) imply:
% 254.20/64.35 | | | | | | (1248) sum(n4, n6) = all_4_26
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (166), (1243), (1246) imply:
% 254.20/64.35 | | | | | | (1249) sum(n4, n6) = all_4_24
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (164), (1241), (1247) imply:
% 254.20/64.35 | | | | | | (1250) sum(n4, n6) = all_4_25
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (163), (1246), (1247) imply:
% 254.20/64.35 | | | | | | (1251) sum(n4, n6) = all_4_29
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_26, n6, n4,
% 254.20/64.35 | | | | | | simplifying with (56), (1248) gives:
% 254.20/64.35 | | | | | | (1252) all_4_26 = n10
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n6, n4,
% 254.20/64.35 | | | | | | simplifying with (1248), (1250) gives:
% 254.20/64.35 | | | | | | (1253) all_4_25 = all_4_26
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n6, n4,
% 254.20/64.35 | | | | | | simplifying with (1249), (1250) gives:
% 254.20/64.35 | | | | | | (1254) all_4_24 = all_4_25
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n6, n4,
% 254.20/64.35 | | | | | | simplifying with (1249), (1251) gives:
% 254.20/64.35 | | | | | | (1255) all_4_24 = all_4_29
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1254), (1255) imply:
% 254.20/64.35 | | | | | | (1256) all_4_25 = all_4_29
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | SIMP: (1256) implies:
% 254.20/64.35 | | | | | | (1257) all_4_25 = all_4_29
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1253), (1257) imply:
% 254.20/64.35 | | | | | | (1258) all_4_26 = all_4_29
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | SIMP: (1258) implies:
% 254.20/64.35 | | | | | | (1259) all_4_26 = all_4_29
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1252), (1259) imply:
% 254.20/64.35 | | | | | | (1260) all_4_29 = n10
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1257), (1260) imply:
% 254.20/64.35 | | | | | | (1261) all_4_25 = n10
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1255), (1260) imply:
% 254.20/64.35 | | | | | | (1262) all_4_24 = n10
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (168), (1261), (1262) imply:
% 254.20/64.35 | | | | | | (1263) sum(n10, n10) = all_4_86
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (165), (1252), (1260) imply:
% 254.20/64.35 | | | | | | (1264) sum(n10, n10) = all_4_87
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | GROUND_INST: instantiating (4) with n9, all_4_86, n10, n10,
% 254.20/64.35 | | | | | | simplifying with (126), (1263) gives:
% 254.20/64.35 | | | | | | (1265) all_4_86 = n9
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n10, n10,
% 254.20/64.35 | | | | | | simplifying with (1263), (1264) gives:
% 254.20/64.35 | | | | | | (1266) all_4_86 = all_4_87
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | COMBINE_EQS: (1265), (1266) imply:
% 254.20/64.35 | | | | | | (1267) all_4_87 = n9
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | SIMP: (1267) implies:
% 254.20/64.35 | | | | | | (1268) all_4_87 = n9
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (244), (1265) imply:
% 254.20/64.35 | | | | | | (1269) pred(n9) = all_4_20
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (243), (1268) imply:
% 254.20/64.35 | | | | | | (1270) pred(n9) = all_4_23
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (213), (1265) imply:
% 254.20/64.35 | | | | | | (1271) succ(n9) = all_4_22
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | REDUCE: (212), (1268) imply:
% 254.20/64.35 | | | | | | (1272) succ(n9) = all_4_19
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | BETA: splitting (1066) gives:
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | Case 1:
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | (1273) ~ (all_4_84 = all_4_85)
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_19, n9, simplifying
% 254.20/64.35 | | | | | | | with (196), (1272) gives:
% 254.20/64.35 | | | | | | | (1274) all_4_19 = n10
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (169), (170), (171), (172),
% 254.20/64.35 | | | | | | | (173), (174), (227), (1269), (1270), (1271), (1272),
% 254.20/64.35 | | | | | | | (1273), (1274) are inconsistent by sub-proof #180.
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | Case 2:
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | (1275) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~
% 254.20/64.35 | | | | | | | (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 254.20/64.35 | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 254.20/64.35 | | | | | | | (all_4_98 = all_4_99)
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | REF_CLOSE: (1080), (1081), (1109), (1111), (1140), (1142), (1171),
% 254.20/64.35 | | | | | | | (1174), (1203), (1205), (1234), (1236), (1265), (1268),
% 254.20/64.35 | | | | | | | (1275) are inconsistent by sub-proof #174.
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | End of split
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | Case 2:
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | (1276) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 254.20/64.35 | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 254.20/64.35 | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | BETA: splitting (1066) gives:
% 254.20/64.35 | | | | | |
% 254.20/64.35 | | | | | | Case 1:
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | (1277) ~ (all_4_84 = all_4_85)
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | BETA: splitting (1276) gives:
% 254.20/64.35 | | | | | | |
% 254.20/64.35 | | | | | | | Case 1:
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | (1278) all_4_100 = n8
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (230), (1278) imply:
% 254.20/64.35 | | | | | | | | (1279) pred(n8) = all_4_76
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (199), (1278) imply:
% 254.20/64.35 | | | | | | | | (1280) succ(n8) = all_4_78
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 254.20/64.35 | | | | | | | | simplifying with (195), (1280) gives:
% 254.20/64.35 | | | | | | | | (1281) all_4_78 = n9
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 254.20/64.35 | | | | | | | | simplifying with (226), (1279) gives:
% 254.20/64.35 | | | | | | | | (1282) all_4_76 = n7
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (130), (1281), (1282) imply:
% 254.20/64.35 | | | | | | | | (1283) sum(n7, n9) = all_4_72
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (257), (1282) imply:
% 254.20/64.35 | | | | | | | | (1284) sum(n7, n0) = all_4_74
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (259), (1281) imply:
% 254.20/64.35 | | | | | | | | (1285) sum(n9, n9) = all_4_77
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n0, n7,
% 254.20/64.35 | | | | | | | | simplifying with (83), (1284) gives:
% 254.20/64.35 | | | | | | | | (1286) all_4_74 = n7
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 254.20/64.35 | | | | | | | | simplifying with (92), (1283) gives:
% 254.20/64.35 | | | | | | | | (1287) all_4_72 = n5
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n9, n9,
% 254.20/64.35 | | | | | | | | simplifying with (114), (1285) gives:
% 254.20/64.35 | | | | | | | | (1288) all_4_77 = n7
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (129), (1286), (1288) imply:
% 254.20/64.35 | | | | | | | | (1289) sum(n7, n7) = all_4_99
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (261), (1287) imply:
% 254.20/64.35 | | | | | | | | (1290) sum(n9, n5) = all_4_98
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 254.20/64.35 | | | | | | | | simplifying with (90), (1289) gives:
% 254.20/64.35 | | | | | | | | (1291) all_4_99 = n3
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n5, n9,
% 254.20/64.35 | | | | | | | | simplifying with (110), (1290) gives:
% 254.20/64.35 | | | | | | | | (1292) all_4_98 = n3
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (232), (1292) imply:
% 254.20/64.35 | | | | | | | | (1293) pred(n3) = all_4_68
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (231), (1291) imply:
% 254.20/64.35 | | | | | | | | (1294) pred(n3) = all_4_71
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (201), (1292) imply:
% 254.20/64.35 | | | | | | | | (1295) succ(n3) = all_4_70
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (200), (1291) imply:
% 254.20/64.35 | | | | | | | | (1296) succ(n3) = all_4_67
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_67, n3,
% 254.20/64.35 | | | | | | | | simplifying with (190), (1296) gives:
% 254.20/64.35 | | | | | | | | (1297) all_4_67 = n4
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n3,
% 254.20/64.35 | | | | | | | | simplifying with (1295), (1296) gives:
% 254.20/64.35 | | | | | | | | (1298) all_4_67 = all_4_70
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_68, n3,
% 254.20/64.35 | | | | | | | | simplifying with (221), (1293) gives:
% 254.20/64.35 | | | | | | | | (1299) all_4_68 = n2
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n3,
% 254.20/64.35 | | | | | | | | simplifying with (1293), (1294) gives:
% 254.20/64.35 | | | | | | | | (1300) all_4_68 = all_4_71
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | COMBINE_EQS: (1297), (1298) imply:
% 254.20/64.35 | | | | | | | | (1301) all_4_70 = n4
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | COMBINE_EQS: (1299), (1300) imply:
% 254.20/64.35 | | | | | | | | (1302) all_4_71 = n2
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (137), (1297), (1299) imply:
% 254.20/64.35 | | | | | | | | (1303) sum(n2, n4) = all_4_66
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (136), (1299), (1301) imply:
% 254.20/64.35 | | | | | | | | (1304) sum(n2, n4) = all_4_64
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (134), (1297), (1302) imply:
% 254.20/64.35 | | | | | | | | (1305) sum(n2, n4) = all_4_65
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (133), (1301), (1302) imply:
% 254.20/64.35 | | | | | | | | (1306) sum(n2, n4) = all_4_69
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_65, n4, n2,
% 254.20/64.35 | | | | | | | | simplifying with (32), (1305) gives:
% 254.20/64.35 | | | | | | | | (1307) all_4_65 = n6
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n4, n2,
% 254.20/64.35 | | | | | | | | simplifying with (1303), (1305) gives:
% 254.20/64.35 | | | | | | | | (1308) all_4_65 = all_4_66
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n4, n2,
% 254.20/64.35 | | | | | | | | simplifying with (1303), (1304) gives:
% 254.20/64.35 | | | | | | | | (1309) all_4_64 = all_4_66
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n4, n2,
% 254.20/64.35 | | | | | | | | simplifying with (1304), (1306) gives:
% 254.20/64.35 | | | | | | | | (1310) all_4_64 = all_4_69
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | COMBINE_EQS: (1309), (1310) imply:
% 254.20/64.35 | | | | | | | | (1311) all_4_66 = all_4_69
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | SIMP: (1311) implies:
% 254.20/64.35 | | | | | | | | (1312) all_4_66 = all_4_69
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | COMBINE_EQS: (1307), (1308) imply:
% 254.20/64.35 | | | | | | | | (1313) all_4_66 = n6
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | SIMP: (1313) implies:
% 254.20/64.35 | | | | | | | | (1314) all_4_66 = n6
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | COMBINE_EQS: (1312), (1314) imply:
% 254.20/64.35 | | | | | | | | (1315) all_4_69 = n6
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | COMBINE_EQS: (1310), (1315) imply:
% 254.20/64.35 | | | | | | | | (1316) all_4_64 = n6
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (138), (1307), (1316) imply:
% 254.20/64.35 | | | | | | | | (1317) sum(n6, n6) = all_4_96
% 254.20/64.35 | | | | | | | |
% 254.20/64.35 | | | | | | | | REDUCE: (135), (1314), (1315) imply:
% 254.20/64.36 | | | | | | | | (1318) sum(n6, n6) = all_4_97
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_96, n6, n6,
% 254.20/64.36 | | | | | | | | simplifying with (78), (1317) gives:
% 254.20/64.36 | | | | | | | | (1319) all_4_96 = n1
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n6, n6,
% 254.20/64.36 | | | | | | | | simplifying with (1317), (1318) gives:
% 254.20/64.36 | | | | | | | | (1320) all_4_96 = all_4_97
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1319), (1320) imply:
% 254.20/64.36 | | | | | | | | (1321) all_4_97 = n1
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1321) implies:
% 254.20/64.36 | | | | | | | | (1322) all_4_97 = n1
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (234), (1319) imply:
% 254.20/64.36 | | | | | | | | (1323) pred(n1) = all_4_60
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (233), (1322) imply:
% 254.20/64.36 | | | | | | | | (1324) pred(n1) = all_4_63
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (203), (1319) imply:
% 254.20/64.36 | | | | | | | | (1325) succ(n1) = all_4_62
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (202), (1322) imply:
% 254.20/64.36 | | | | | | | | (1326) succ(n1) = all_4_59
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_59, n1,
% 254.20/64.36 | | | | | | | | simplifying with (188), (1326) gives:
% 254.20/64.36 | | | | | | | | (1327) all_4_59 = n2
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n1,
% 254.20/64.36 | | | | | | | | simplifying with (1325), (1326) gives:
% 254.20/64.36 | | | | | | | | (1328) all_4_59 = all_4_62
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_60, n1,
% 254.20/64.36 | | | | | | | | simplifying with (219), (1323) gives:
% 254.20/64.36 | | | | | | | | (1329) all_4_60 = n0
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n1,
% 254.20/64.36 | | | | | | | | simplifying with (1323), (1324) gives:
% 254.20/64.36 | | | | | | | | (1330) all_4_60 = all_4_63
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1327), (1328) imply:
% 254.20/64.36 | | | | | | | | (1331) all_4_62 = n2
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1329), (1330) imply:
% 254.20/64.36 | | | | | | | | (1332) all_4_63 = n0
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (143), (1327), (1329) imply:
% 254.20/64.36 | | | | | | | | (1333) sum(n0, n2) = all_4_58
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (142), (1329), (1331) imply:
% 254.20/64.36 | | | | | | | | (1334) sum(n0, n2) = all_4_56
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (140), (1327), (1332) imply:
% 254.20/64.36 | | | | | | | | (1335) sum(n0, n2) = all_4_57
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (139), (1331), (1332) imply:
% 254.20/64.36 | | | | | | | | (1336) sum(n0, n2) = all_4_61
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_57, n2, n0,
% 254.20/64.36 | | | | | | | | simplifying with (8), (1335) gives:
% 254.20/64.36 | | | | | | | | (1337) all_4_57 = n2
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n2, n0,
% 254.20/64.36 | | | | | | | | simplifying with (1333), (1335) gives:
% 254.20/64.36 | | | | | | | | (1338) all_4_57 = all_4_58
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n2, n0,
% 254.20/64.36 | | | | | | | | simplifying with (1334), (1335) gives:
% 254.20/64.36 | | | | | | | | (1339) all_4_56 = all_4_57
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n2, n0,
% 254.20/64.36 | | | | | | | | simplifying with (1334), (1336) gives:
% 254.20/64.36 | | | | | | | | (1340) all_4_56 = all_4_61
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1339), (1340) imply:
% 254.20/64.36 | | | | | | | | (1341) all_4_57 = all_4_61
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1341) implies:
% 254.20/64.36 | | | | | | | | (1342) all_4_57 = all_4_61
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1337), (1338) imply:
% 254.20/64.36 | | | | | | | | (1343) all_4_58 = n2
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1338), (1342) imply:
% 254.20/64.36 | | | | | | | | (1344) all_4_58 = all_4_61
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1343), (1344) imply:
% 254.20/64.36 | | | | | | | | (1345) all_4_61 = n2
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1340), (1345) imply:
% 254.20/64.36 | | | | | | | | (1346) all_4_56 = n2
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (144), (1337), (1346) imply:
% 254.20/64.36 | | | | | | | | (1347) sum(n2, n2) = all_4_94
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (141), (1343), (1345) imply:
% 254.20/64.36 | | | | | | | | (1348) sum(n2, n2) = all_4_95
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_94, n2, n2,
% 254.20/64.36 | | | | | | | | simplifying with (30), (1347) gives:
% 254.20/64.36 | | | | | | | | (1349) all_4_94 = n4
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n2, n2,
% 254.20/64.36 | | | | | | | | simplifying with (1347), (1348) gives:
% 254.20/64.36 | | | | | | | | (1350) all_4_94 = all_4_95
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1349), (1350) imply:
% 254.20/64.36 | | | | | | | | (1351) all_4_95 = n4
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (236), (1349) imply:
% 254.20/64.36 | | | | | | | | (1352) pred(n4) = all_4_52
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (235), (1351) imply:
% 254.20/64.36 | | | | | | | | (1353) pred(n4) = all_4_55
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (205), (1349) imply:
% 254.20/64.36 | | | | | | | | (1354) succ(n4) = all_4_54
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (204), (1351) imply:
% 254.20/64.36 | | | | | | | | (1355) succ(n4) = all_4_51
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_51, n4,
% 254.20/64.36 | | | | | | | | simplifying with (191), (1355) gives:
% 254.20/64.36 | | | | | | | | (1356) all_4_51 = n5
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n4,
% 254.20/64.36 | | | | | | | | simplifying with (1354), (1355) gives:
% 254.20/64.36 | | | | | | | | (1357) all_4_51 = all_4_54
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_52, n4,
% 254.20/64.36 | | | | | | | | simplifying with (222), (1352) gives:
% 254.20/64.36 | | | | | | | | (1358) all_4_52 = n3
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n4,
% 254.20/64.36 | | | | | | | | simplifying with (1352), (1353) gives:
% 254.20/64.36 | | | | | | | | (1359) all_4_52 = all_4_55
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1356), (1357) imply:
% 254.20/64.36 | | | | | | | | (1360) all_4_54 = n5
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1358), (1359) imply:
% 254.20/64.36 | | | | | | | | (1361) all_4_55 = n3
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1361) implies:
% 254.20/64.36 | | | | | | | | (1362) all_4_55 = n3
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (149), (1356), (1358) imply:
% 254.20/64.36 | | | | | | | | (1363) sum(n3, n5) = all_4_50
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (148), (1358), (1360) imply:
% 254.20/64.36 | | | | | | | | (1364) sum(n3, n5) = all_4_48
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (146), (1356), (1362) imply:
% 254.20/64.36 | | | | | | | | (1365) sum(n3, n5) = all_4_49
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (145), (1360), (1362) imply:
% 254.20/64.36 | | | | | | | | (1366) sum(n3, n5) = all_4_53
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_49, n5, n3,
% 254.20/64.36 | | | | | | | | simplifying with (44), (1365) gives:
% 254.20/64.36 | | | | | | | | (1367) all_4_49 = n8
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n5, n3,
% 254.20/64.36 | | | | | | | | simplifying with (1363), (1365) gives:
% 254.20/64.36 | | | | | | | | (1368) all_4_49 = all_4_50
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n5, n3,
% 254.20/64.36 | | | | | | | | simplifying with (1364), (1365) gives:
% 254.20/64.36 | | | | | | | | (1369) all_4_48 = all_4_49
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n5, n3,
% 254.20/64.36 | | | | | | | | simplifying with (1364), (1366) gives:
% 254.20/64.36 | | | | | | | | (1370) all_4_48 = all_4_53
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1369), (1370) imply:
% 254.20/64.36 | | | | | | | | (1371) all_4_49 = all_4_53
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1371) implies:
% 254.20/64.36 | | | | | | | | (1372) all_4_49 = all_4_53
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1367), (1368) imply:
% 254.20/64.36 | | | | | | | | (1373) all_4_50 = n8
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1368), (1372) imply:
% 254.20/64.36 | | | | | | | | (1374) all_4_50 = all_4_53
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1373), (1374) imply:
% 254.20/64.36 | | | | | | | | (1375) all_4_53 = n8
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1370), (1375) imply:
% 254.20/64.36 | | | | | | | | (1376) all_4_48 = n8
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (150), (1367), (1376) imply:
% 254.20/64.36 | | | | | | | | (1377) sum(n8, n8) = all_4_92
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (147), (1373), (1375) imply:
% 254.20/64.36 | | | | | | | | (1378) sum(n8, n8) = all_4_93
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_92, n8, n8,
% 254.20/64.36 | | | | | | | | simplifying with (102), (1377) gives:
% 254.20/64.36 | | | | | | | | (1379) all_4_92 = n5
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n8, n8,
% 254.20/64.36 | | | | | | | | simplifying with (1377), (1378) gives:
% 254.20/64.36 | | | | | | | | (1380) all_4_92 = all_4_93
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1379), (1380) imply:
% 254.20/64.36 | | | | | | | | (1381) all_4_93 = n5
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1381) implies:
% 254.20/64.36 | | | | | | | | (1382) all_4_93 = n5
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (238), (1379) imply:
% 254.20/64.36 | | | | | | | | (1383) pred(n5) = all_4_44
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (237), (1382) imply:
% 254.20/64.36 | | | | | | | | (1384) pred(n5) = all_4_47
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (207), (1379) imply:
% 254.20/64.36 | | | | | | | | (1385) succ(n5) = all_4_46
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (206), (1382) imply:
% 254.20/64.36 | | | | | | | | (1386) succ(n5) = all_4_43
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_43, n5,
% 254.20/64.36 | | | | | | | | simplifying with (192), (1386) gives:
% 254.20/64.36 | | | | | | | | (1387) all_4_43 = n6
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n5,
% 254.20/64.36 | | | | | | | | simplifying with (1385), (1386) gives:
% 254.20/64.36 | | | | | | | | (1388) all_4_43 = all_4_46
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_44, n5,
% 254.20/64.36 | | | | | | | | simplifying with (223), (1383) gives:
% 254.20/64.36 | | | | | | | | (1389) all_4_44 = n4
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n5,
% 254.20/64.36 | | | | | | | | simplifying with (1383), (1384) gives:
% 254.20/64.36 | | | | | | | | (1390) all_4_44 = all_4_47
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1387), (1388) imply:
% 254.20/64.36 | | | | | | | | (1391) all_4_46 = n6
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1389), (1390) imply:
% 254.20/64.36 | | | | | | | | (1392) all_4_47 = n4
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (155), (1387), (1389) imply:
% 254.20/64.36 | | | | | | | | (1393) sum(n4, n6) = all_4_42
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (154), (1389), (1391) imply:
% 254.20/64.36 | | | | | | | | (1394) sum(n4, n6) = all_4_40
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (152), (1387), (1392) imply:
% 254.20/64.36 | | | | | | | | (1395) sum(n4, n6) = all_4_41
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (151), (1391), (1392) imply:
% 254.20/64.36 | | | | | | | | (1396) sum(n4, n6) = all_4_45
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_41, n6, n4,
% 254.20/64.36 | | | | | | | | simplifying with (56), (1395) gives:
% 254.20/64.36 | | | | | | | | (1397) all_4_41 = n10
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n6, n4,
% 254.20/64.36 | | | | | | | | simplifying with (1393), (1395) gives:
% 254.20/64.36 | | | | | | | | (1398) all_4_41 = all_4_42
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n6, n4,
% 254.20/64.36 | | | | | | | | simplifying with (1394), (1395) gives:
% 254.20/64.36 | | | | | | | | (1399) all_4_40 = all_4_41
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n6, n4,
% 254.20/64.36 | | | | | | | | simplifying with (1394), (1396) gives:
% 254.20/64.36 | | | | | | | | (1400) all_4_40 = all_4_45
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1399), (1400) imply:
% 254.20/64.36 | | | | | | | | (1401) all_4_41 = all_4_45
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1401) implies:
% 254.20/64.36 | | | | | | | | (1402) all_4_41 = all_4_45
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1397), (1398) imply:
% 254.20/64.36 | | | | | | | | (1403) all_4_42 = n10
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1398), (1402) imply:
% 254.20/64.36 | | | | | | | | (1404) all_4_42 = all_4_45
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1403), (1404) imply:
% 254.20/64.36 | | | | | | | | (1405) all_4_45 = n10
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1405) implies:
% 254.20/64.36 | | | | | | | | (1406) all_4_45 = n10
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1400), (1406) imply:
% 254.20/64.36 | | | | | | | | (1407) all_4_40 = n10
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (156), (1397), (1407) imply:
% 254.20/64.36 | | | | | | | | (1408) sum(n10, n10) = all_4_90
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (153), (1403), (1406) imply:
% 254.20/64.36 | | | | | | | | (1409) sum(n10, n10) = all_4_91
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_90, n10, n10,
% 254.20/64.36 | | | | | | | | simplifying with (126), (1408) gives:
% 254.20/64.36 | | | | | | | | (1410) all_4_90 = n9
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n10,
% 254.20/64.36 | | | | | | | | n10, simplifying with (1408), (1409) gives:
% 254.20/64.36 | | | | | | | | (1411) all_4_90 = all_4_91
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | COMBINE_EQS: (1410), (1411) imply:
% 254.20/64.36 | | | | | | | | (1412) all_4_91 = n9
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | SIMP: (1412) implies:
% 254.20/64.36 | | | | | | | | (1413) all_4_91 = n9
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (240), (1410) imply:
% 254.20/64.36 | | | | | | | | (1414) pred(n9) = all_4_36
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (239), (1413) imply:
% 254.20/64.36 | | | | | | | | (1415) pred(n9) = all_4_39
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (209), (1410) imply:
% 254.20/64.36 | | | | | | | | (1416) succ(n9) = all_4_38
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | REDUCE: (208), (1413) imply:
% 254.20/64.36 | | | | | | | | (1417) succ(n9) = all_4_35
% 254.20/64.36 | | | | | | | |
% 254.20/64.36 | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_35, n9,
% 254.20/64.36 | | | | | | | | simplifying with (196), (1417) gives:
% 254.20/64.37 | | | | | | | | (1418) all_4_35 = n10
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n9,
% 254.20/64.37 | | | | | | | | simplifying with (1416), (1417) gives:
% 254.20/64.37 | | | | | | | | (1419) all_4_35 = all_4_38
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_36, n9,
% 254.20/64.37 | | | | | | | | simplifying with (227), (1414) gives:
% 254.20/64.37 | | | | | | | | (1420) all_4_36 = n8
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n9,
% 254.20/64.37 | | | | | | | | simplifying with (1414), (1415) gives:
% 254.20/64.37 | | | | | | | | (1421) all_4_36 = all_4_39
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1418), (1419) imply:
% 254.20/64.37 | | | | | | | | (1422) all_4_38 = n10
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1420), (1421) imply:
% 254.20/64.37 | | | | | | | | (1423) all_4_39 = n8
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (161), (1418), (1420) imply:
% 254.20/64.37 | | | | | | | | (1424) sum(n8, n10) = all_4_34
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (160), (1420), (1422) imply:
% 254.20/64.37 | | | | | | | | (1425) sum(n8, n10) = all_4_32
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (158), (1418), (1423) imply:
% 254.20/64.37 | | | | | | | | (1426) sum(n8, n10) = all_4_33
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (157), (1422), (1423) imply:
% 254.20/64.37 | | | | | | | | (1427) sum(n8, n10) = all_4_37
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_33, n10, n8,
% 254.20/64.37 | | | | | | | | simplifying with (104), (1426) gives:
% 254.20/64.37 | | | | | | | | (1428) all_4_33 = n7
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n10, n8,
% 254.20/64.37 | | | | | | | | simplifying with (1424), (1426) gives:
% 254.20/64.37 | | | | | | | | (1429) all_4_33 = all_4_34
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n10, n8,
% 254.20/64.37 | | | | | | | | simplifying with (1425), (1426) gives:
% 254.20/64.37 | | | | | | | | (1430) all_4_32 = all_4_33
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n10, n8,
% 254.20/64.37 | | | | | | | | simplifying with (1425), (1427) gives:
% 254.20/64.37 | | | | | | | | (1431) all_4_32 = all_4_37
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1430), (1431) imply:
% 254.20/64.37 | | | | | | | | (1432) all_4_33 = all_4_37
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | SIMP: (1432) implies:
% 254.20/64.37 | | | | | | | | (1433) all_4_33 = all_4_37
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1428), (1429) imply:
% 254.20/64.37 | | | | | | | | (1434) all_4_34 = n7
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1429), (1433) imply:
% 254.20/64.37 | | | | | | | | (1435) all_4_34 = all_4_37
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1434), (1435) imply:
% 254.20/64.37 | | | | | | | | (1436) all_4_37 = n7
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1431), (1436) imply:
% 254.20/64.37 | | | | | | | | (1437) all_4_32 = n7
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (162), (1428), (1437) imply:
% 254.20/64.37 | | | | | | | | (1438) sum(n7, n7) = all_4_88
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (159), (1434), (1436) imply:
% 254.20/64.37 | | | | | | | | (1439) sum(n7, n7) = all_4_89
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_88, n7, n7,
% 254.20/64.37 | | | | | | | | simplifying with (90), (1438) gives:
% 254.20/64.37 | | | | | | | | (1440) all_4_88 = n3
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n7, n7,
% 254.20/64.37 | | | | | | | | simplifying with (1438), (1439) gives:
% 254.20/64.37 | | | | | | | | (1441) all_4_88 = all_4_89
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1440), (1441) imply:
% 254.20/64.37 | | | | | | | | (1442) all_4_89 = n3
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (242), (1440) imply:
% 254.20/64.37 | | | | | | | | (1443) pred(n3) = all_4_28
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (241), (1442) imply:
% 254.20/64.37 | | | | | | | | (1444) pred(n3) = all_4_31
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (211), (1440) imply:
% 254.20/64.37 | | | | | | | | (1445) succ(n3) = all_4_30
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (210), (1442) imply:
% 254.20/64.37 | | | | | | | | (1446) succ(n3) = all_4_27
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_27, n3,
% 254.20/64.37 | | | | | | | | simplifying with (190), (1446) gives:
% 254.20/64.37 | | | | | | | | (1447) all_4_27 = n4
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n3,
% 254.20/64.37 | | | | | | | | simplifying with (1445), (1446) gives:
% 254.20/64.37 | | | | | | | | (1448) all_4_27 = all_4_30
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_28, n3,
% 254.20/64.37 | | | | | | | | simplifying with (221), (1443) gives:
% 254.20/64.37 | | | | | | | | (1449) all_4_28 = n2
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n3,
% 254.20/64.37 | | | | | | | | simplifying with (1443), (1444) gives:
% 254.20/64.37 | | | | | | | | (1450) all_4_28 = all_4_31
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1447), (1448) imply:
% 254.20/64.37 | | | | | | | | (1451) all_4_30 = n4
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1449), (1450) imply:
% 254.20/64.37 | | | | | | | | (1452) all_4_31 = n2
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (167), (1447), (1449) imply:
% 254.20/64.37 | | | | | | | | (1453) sum(n2, n4) = all_4_26
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (166), (1449), (1451) imply:
% 254.20/64.37 | | | | | | | | (1454) sum(n2, n4) = all_4_24
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (164), (1447), (1452) imply:
% 254.20/64.37 | | | | | | | | (1455) sum(n2, n4) = all_4_25
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (163), (1451), (1452) imply:
% 254.20/64.37 | | | | | | | | (1456) sum(n2, n4) = all_4_29
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_25, n4, n2,
% 254.20/64.37 | | | | | | | | simplifying with (32), (1455) gives:
% 254.20/64.37 | | | | | | | | (1457) all_4_25 = n6
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n4, n2,
% 254.20/64.37 | | | | | | | | simplifying with (1453), (1455) gives:
% 254.20/64.37 | | | | | | | | (1458) all_4_25 = all_4_26
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n4, n2,
% 254.20/64.37 | | | | | | | | simplifying with (1454), (1455) gives:
% 254.20/64.37 | | | | | | | | (1459) all_4_24 = all_4_25
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n4, n2,
% 254.20/64.37 | | | | | | | | simplifying with (1454), (1456) gives:
% 254.20/64.37 | | | | | | | | (1460) all_4_24 = all_4_29
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1459), (1460) imply:
% 254.20/64.37 | | | | | | | | (1461) all_4_25 = all_4_29
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | SIMP: (1461) implies:
% 254.20/64.37 | | | | | | | | (1462) all_4_25 = all_4_29
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1457), (1458) imply:
% 254.20/64.37 | | | | | | | | (1463) all_4_26 = n6
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1458), (1462) imply:
% 254.20/64.37 | | | | | | | | (1464) all_4_26 = all_4_29
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1463), (1464) imply:
% 254.20/64.37 | | | | | | | | (1465) all_4_29 = n6
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1460), (1465) imply:
% 254.20/64.37 | | | | | | | | (1466) all_4_24 = n6
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (168), (1457), (1466) imply:
% 254.20/64.37 | | | | | | | | (1467) sum(n6, n6) = all_4_86
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (165), (1463), (1465) imply:
% 254.20/64.37 | | | | | | | | (1468) sum(n6, n6) = all_4_87
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_86, n6, n6,
% 254.20/64.37 | | | | | | | | simplifying with (78), (1467) gives:
% 254.20/64.37 | | | | | | | | (1469) all_4_86 = n1
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n6, n6,
% 254.20/64.37 | | | | | | | | simplifying with (1467), (1468) gives:
% 254.20/64.37 | | | | | | | | (1470) all_4_86 = all_4_87
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | COMBINE_EQS: (1469), (1470) imply:
% 254.20/64.37 | | | | | | | | (1471) all_4_87 = n1
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | SIMP: (1471) implies:
% 254.20/64.37 | | | | | | | | (1472) all_4_87 = n1
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (244), (1469) imply:
% 254.20/64.37 | | | | | | | | (1473) pred(n1) = all_4_20
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (243), (1472) imply:
% 254.20/64.37 | | | | | | | | (1474) pred(n1) = all_4_23
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (213), (1469) imply:
% 254.20/64.37 | | | | | | | | (1475) succ(n1) = all_4_22
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REDUCE: (212), (1472) imply:
% 254.20/64.37 | | | | | | | | (1476) succ(n1) = all_4_19
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_19, n1,
% 254.20/64.37 | | | | | | | | simplifying with (188), (1476) gives:
% 254.20/64.37 | | | | | | | | (1477) all_4_19 = n2
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (169), (170), (171), (172),
% 254.20/64.37 | | | | | | | | (173), (174), (219), (1277), (1473), (1474), (1475),
% 254.20/64.37 | | | | | | | | (1476), (1477) are inconsistent by sub-proof #173.
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | Case 2:
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | (1478) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 254.20/64.37 | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.20/64.37 | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | BETA: splitting (1478) gives:
% 254.20/64.37 | | | | | | | |
% 254.20/64.37 | | | | | | | | Case 1:
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | (1479) all_4_100 = n7
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (230), (1479) imply:
% 254.20/64.37 | | | | | | | | | (1480) pred(n7) = all_4_76
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (199), (1479) imply:
% 254.20/64.37 | | | | | | | | | (1481) succ(n7) = all_4_78
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 254.20/64.37 | | | | | | | | | simplifying with (194), (1481) gives:
% 254.20/64.37 | | | | | | | | | (1482) all_4_78 = n8
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 254.20/64.37 | | | | | | | | | simplifying with (225), (1480) gives:
% 254.20/64.37 | | | | | | | | | (1483) all_4_76 = n6
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (130), (1482), (1483) imply:
% 254.20/64.37 | | | | | | | | | (1484) sum(n6, n8) = all_4_72
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (257), (1483) imply:
% 254.20/64.37 | | | | | | | | | (1485) sum(n6, n0) = all_4_74
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (259), (1482) imply:
% 254.20/64.37 | | | | | | | | | (1486) sum(n9, n8) = all_4_77
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n0, n6,
% 254.20/64.37 | | | | | | | | | simplifying with (72), (1485) gives:
% 254.20/64.37 | | | | | | | | | (1487) all_4_74 = n6
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 254.20/64.37 | | | | | | | | | simplifying with (80), (1484) gives:
% 254.20/64.37 | | | | | | | | | (1488) all_4_72 = n3
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n8, n9,
% 254.20/64.37 | | | | | | | | | simplifying with (113), (1486) gives:
% 254.20/64.37 | | | | | | | | | (1489) all_4_77 = n6
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (129), (1487), (1489) imply:
% 254.20/64.37 | | | | | | | | | (1490) sum(n6, n6) = all_4_99
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | REDUCE: (261), (1488) imply:
% 254.20/64.37 | | | | | | | | | (1491) sum(n9, n3) = all_4_98
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 254.20/64.37 | | | | | | | | | simplifying with (78), (1490) gives:
% 254.20/64.37 | | | | | | | | | (1492) all_4_99 = n1
% 254.20/64.37 | | | | | | | | |
% 254.20/64.37 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n3, n9,
% 254.20/64.37 | | | | | | | | | simplifying with (108), (1491) gives:
% 254.20/64.37 | | | | | | | | | (1493) all_4_98 = n1
% 254.20/64.37 | | | | | | | | |
% 254.20/64.38 | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 254.20/64.38 | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 254.20/64.38 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.20/64.38 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.20/64.38 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.20/64.38 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.20/64.38 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.20/64.38 | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 254.20/64.38 | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 254.20/64.38 | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.20/64.38 | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 254.20/64.38 | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.20/64.38 | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.20/64.38 | | | | | | | | | (1490), (1492), (1493) are inconsistent by
% 254.20/64.38 | | | | | | | | | sub-proof #171.
% 254.20/64.38 | | | | | | | | |
% 254.20/64.38 | | | | | | | | Case 2:
% 254.20/64.38 | | | | | | | | |
% 254.20/64.38 | | | | | | | | | (1494) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 254.20/64.38 | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.20/64.38 | | | | | | | | | all_4_100 = n0
% 254.20/64.38 | | | | | | | | |
% 254.20/64.38 | | | | | | | | | BETA: splitting (1494) gives:
% 254.20/64.38 | | | | | | | | |
% 254.20/64.38 | | | | | | | | | Case 1:
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | (1495) all_4_100 = n6
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (230), (1495) imply:
% 254.20/64.38 | | | | | | | | | | (1496) pred(n6) = all_4_76
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (199), (1495) imply:
% 254.20/64.38 | | | | | | | | | | (1497) succ(n6) = all_4_78
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 254.20/64.38 | | | | | | | | | | simplifying with (193), (1497) gives:
% 254.20/64.38 | | | | | | | | | | (1498) all_4_78 = n7
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 254.20/64.38 | | | | | | | | | | simplifying with (224), (1496) gives:
% 254.20/64.38 | | | | | | | | | | (1499) all_4_76 = n5
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (130), (1498), (1499) imply:
% 254.20/64.38 | | | | | | | | | | (1500) sum(n5, n7) = all_4_72
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (257), (1499) imply:
% 254.20/64.38 | | | | | | | | | | (1501) sum(n5, n0) = all_4_74
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (259), (1498) imply:
% 254.20/64.38 | | | | | | | | | | (1502) sum(n9, n7) = all_4_77
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n0, n5,
% 254.20/64.38 | | | | | | | | | | simplifying with (61), (1501) gives:
% 254.20/64.38 | | | | | | | | | | (1503) all_4_74 = n5
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 254.20/64.38 | | | | | | | | | | simplifying with (68), (1500) gives:
% 254.20/64.38 | | | | | | | | | | (1504) all_4_72 = n1
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n7, n9,
% 254.20/64.38 | | | | | | | | | | simplifying with (112), (1502) gives:
% 254.20/64.38 | | | | | | | | | | (1505) all_4_77 = n5
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (129), (1503), (1505) imply:
% 254.20/64.38 | | | | | | | | | | (1506) sum(n5, n5) = all_4_99
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REDUCE: (261), (1504) imply:
% 254.20/64.38 | | | | | | | | | | (1507) sum(n9, n1) = all_4_98
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 254.20/64.38 | | | | | | | | | | simplifying with (66), (1506) gives:
% 254.20/64.38 | | | | | | | | | | (1508) all_4_99 = n10
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n1, n9,
% 254.20/64.38 | | | | | | | | | | simplifying with (106), (1507) gives:
% 254.20/64.38 | | | | | | | | | | (1509) all_4_98 = n10
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 254.20/64.38 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.20/64.38 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.20/64.38 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.20/64.38 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.20/64.38 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.20/64.38 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.20/64.38 | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 254.20/64.38 | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 254.20/64.38 | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.20/64.38 | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 254.20/64.38 | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.20/64.38 | | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.20/64.38 | | | | | | | | | | (1506), (1508), (1509) are inconsistent by
% 254.20/64.38 | | | | | | | | | | sub-proof #170.
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | Case 2:
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | (1510) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 254.20/64.38 | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | BETA: splitting (1510) gives:
% 254.20/64.38 | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | Case 1:
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | (1511) all_4_100 = n5
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (230), (1511) imply:
% 254.20/64.38 | | | | | | | | | | | (1512) pred(n5) = all_4_76
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (199), (1511) imply:
% 254.20/64.38 | | | | | | | | | | | (1513) succ(n5) = all_4_78
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 254.20/64.38 | | | | | | | | | | | simplifying with (192), (1513) gives:
% 254.20/64.38 | | | | | | | | | | | (1514) all_4_78 = n6
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 254.20/64.38 | | | | | | | | | | | simplifying with (223), (1512) gives:
% 254.20/64.38 | | | | | | | | | | | (1515) all_4_76 = n4
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (130), (1514), (1515) imply:
% 254.20/64.38 | | | | | | | | | | | (1516) sum(n4, n6) = all_4_72
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (257), (1515) imply:
% 254.20/64.38 | | | | | | | | | | | (1517) sum(n4, n0) = all_4_74
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (259), (1514) imply:
% 254.20/64.38 | | | | | | | | | | | (1518) sum(n9, n6) = all_4_77
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 254.20/64.38 | | | | | | | | | | | simplifying with (50), (1517) gives:
% 254.20/64.38 | | | | | | | | | | | (1519) all_4_74 = n4
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 254.20/64.38 | | | | | | | | | | | simplifying with (56), (1516) gives:
% 254.20/64.38 | | | | | | | | | | | (1520) all_4_72 = n10
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 254.20/64.38 | | | | | | | | | | | simplifying with (111), (1518) gives:
% 254.20/64.38 | | | | | | | | | | | (1521) all_4_77 = n4
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (129), (1519), (1521) imply:
% 254.20/64.38 | | | | | | | | | | | (1522) sum(n4, n4) = all_4_99
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REDUCE: (261), (1520) imply:
% 254.20/64.38 | | | | | | | | | | | (1523) sum(n9, n10) = all_4_98
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 254.20/64.38 | | | | | | | | | | | simplifying with (54), (1522) gives:
% 254.20/64.38 | | | | | | | | | | | (1524) all_4_99 = n8
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 254.20/64.38 | | | | | | | | | | | simplifying with (115), (1523) gives:
% 254.20/64.38 | | | | | | | | | | | (1525) all_4_98 = n8
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 254.20/64.38 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.20/64.38 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.20/64.38 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.20/64.38 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.20/64.38 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.20/64.38 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.20/64.38 | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 254.20/64.38 | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 254.20/64.38 | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.20/64.38 | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 254.20/64.38 | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.20/64.38 | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.20/64.38 | | | | | | | | | | | (1522), (1524), (1525) are inconsistent by
% 254.20/64.38 | | | | | | | | | | | sub-proof #169.
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | Case 2:
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | (1526) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.20/64.38 | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | BETA: splitting (1526) gives:
% 254.20/64.38 | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | Case 1:
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | (1527) all_4_100 = n4
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (230), (1527) imply:
% 254.20/64.38 | | | | | | | | | | | | (1528) pred(n4) = all_4_76
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (199), (1527) imply:
% 254.20/64.38 | | | | | | | | | | | | (1529) succ(n4) = all_4_78
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (191), (1529) gives:
% 254.20/64.38 | | | | | | | | | | | | (1530) all_4_78 = n5
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (222), (1528) gives:
% 254.20/64.38 | | | | | | | | | | | | (1531) all_4_76 = n3
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (130), (1530), (1531) imply:
% 254.20/64.38 | | | | | | | | | | | | (1532) sum(n3, n5) = all_4_72
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (257), (1531) imply:
% 254.20/64.38 | | | | | | | | | | | | (1533) sum(n3, n0) = all_4_74
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (259), (1530) imply:
% 254.20/64.38 | | | | | | | | | | | | (1534) sum(n9, n5) = all_4_77
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (39), (1533) gives:
% 254.20/64.38 | | | | | | | | | | | | (1535) all_4_74 = n3
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (44), (1532) gives:
% 254.20/64.38 | | | | | | | | | | | | (1536) all_4_72 = n8
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (110), (1534) gives:
% 254.20/64.38 | | | | | | | | | | | | (1537) all_4_77 = n3
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (129), (1535), (1537) imply:
% 254.20/64.38 | | | | | | | | | | | | (1538) sum(n3, n3) = all_4_99
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | REDUCE: (261), (1536) imply:
% 254.20/64.38 | | | | | | | | | | | | (1539) sum(n9, n8) = all_4_98
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (42), (1538) gives:
% 254.20/64.38 | | | | | | | | | | | | (1540) all_4_99 = n6
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.38 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 254.20/64.38 | | | | | | | | | | | | simplifying with (113), (1539) gives:
% 254.20/64.38 | | | | | | | | | | | | (1541) all_4_98 = n6
% 254.20/64.38 | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 254.20/64.39 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.20/64.39 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.20/64.39 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.20/64.39 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.20/64.39 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.20/64.39 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.20/64.39 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 254.20/64.39 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 254.20/64.39 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.20/64.39 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 254.20/64.39 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.20/64.39 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.20/64.39 | | | | | | | | | | | | (1538), (1540), (1541) are inconsistent by
% 254.20/64.39 | | | | | | | | | | | | sub-proof #168.
% 254.20/64.39 | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | Case 2:
% 254.20/64.39 | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | (1542) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.20/64.39 | | | | | | | | | | | | all_4_100 = n0
% 254.20/64.39 | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | BETA: splitting (1542) gives:
% 254.20/64.39 | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | Case 1:
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | (1543) all_4_100 = n3
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (230), (1543) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1544) pred(n3) = all_4_76
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (199), (1543) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1545) succ(n3) = all_4_78
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (190), (1545) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1546) all_4_78 = n4
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (221), (1544) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1547) all_4_76 = n2
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (130), (1546), (1547) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1548) sum(n2, n4) = all_4_72
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (257), (1547) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1549) sum(n2, n0) = all_4_74
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (259), (1546) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1550) sum(n9, n4) = all_4_77
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (28), (1549) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1551) all_4_74 = n2
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (32), (1548) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1552) all_4_72 = n6
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (109), (1550) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1553) all_4_77 = n2
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (129), (1551), (1553) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1554) sum(n2, n2) = all_4_99
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REDUCE: (261), (1552) imply:
% 254.20/64.39 | | | | | | | | | | | | | (1555) sum(n9, n6) = all_4_98
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (30), (1554) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1556) all_4_99 = n4
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 254.20/64.39 | | | | | | | | | | | | | simplifying with (111), (1555) gives:
% 254.20/64.39 | | | | | | | | | | | | | (1557) all_4_98 = n4
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 254.20/64.39 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 254.20/64.39 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.20/64.39 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.20/64.39 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.20/64.39 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.20/64.39 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.20/64.39 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 254.20/64.39 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 254.20/64.39 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.20/64.39 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 254.20/64.39 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.20/64.39 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.20/64.39 | | | | | | | | | | | | | (1554), (1556), (1557) are inconsistent by
% 254.20/64.39 | | | | | | | | | | | | | sub-proof #167.
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | Case 2:
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | (1558) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | BETA: splitting (1558) gives:
% 254.20/64.39 | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | Case 1:
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | (1559) all_4_100 = n2
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (230), (1559) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1560) pred(n2) = all_4_76
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (199), (1559) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1561) succ(n2) = all_4_78
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (189), (1561) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1562) all_4_78 = n3
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (220), (1560) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1563) all_4_76 = n1
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (130), (1562), (1563) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1564) sum(n1, n3) = all_4_72
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (257), (1563) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1565) sum(n1, n0) = all_4_74
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (259), (1562) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1566) sum(n9, n3) = all_4_77
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (17), (1565) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1567) all_4_74 = n1
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (20), (1564) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1568) all_4_72 = n4
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (108), (1566) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1569) all_4_77 = n1
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (129), (1567), (1569) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1570) sum(n1, n1) = all_4_99
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REDUCE: (261), (1568) imply:
% 254.20/64.39 | | | | | | | | | | | | | | (1571) sum(n9, n4) = all_4_98
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (18), (1570) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1572) all_4_99 = n2
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 254.20/64.39 | | | | | | | | | | | | | | simplifying with (109), (1571) gives:
% 254.20/64.39 | | | | | | | | | | | | | | (1573) all_4_98 = n2
% 254.20/64.39 | | | | | | | | | | | | | |
% 254.20/64.39 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 254.20/64.39 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.20/64.39 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.20/64.39 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.20/64.39 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.20/64.39 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.39 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.39/64.39 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 254.39/64.39 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 254.39/64.39 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.39/64.39 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 254.39/64.39 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.39/64.39 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.39/64.39 | | | | | | | | | | | | | | (1570), (1572), (1573) are inconsistent by
% 254.39/64.39 | | | | | | | | | | | | | | sub-proof #166.
% 254.39/64.39 | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | Case 2:
% 254.39/64.39 | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | (1574) all_4_100 = n1 | all_4_100 = n0
% 254.39/64.39 | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | BETA: splitting (1574) gives:
% 254.39/64.39 | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | Case 1:
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | (1575) all_4_100 = n1
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (230), (1575) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1576) pred(n1) = all_4_76
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (199), (1575) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1577) succ(n1) = all_4_78
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (188), (1577) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1578) all_4_78 = n2
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (219), (1576) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1579) all_4_76 = n0
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (130), (1578), (1579) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1580) sum(n0, n2) = all_4_72
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (257), (1579) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1581) sum(n0, n0) = all_4_74
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (259), (1578) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1582) sum(n9, n2) = all_4_77
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (6), (1581) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1583) all_4_74 = n0
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (8), (1580) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1584) all_4_72 = n2
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (107), (1582) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1585) all_4_77 = n0
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (129), (1583), (1585) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1586) sum(n0, n0) = all_4_99
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (261), (1584) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1587) sum(n9, n2) = all_4_98
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (6), (1586) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1588) all_4_99 = n0
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 254.39/64.39 | | | | | | | | | | | | | | | simplifying with (107), (1587) gives:
% 254.39/64.39 | | | | | | | | | | | | | | | (1589) all_4_98 = n0
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 254.39/64.39 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.39 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.39 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.39 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.39 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.39/64.39 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 254.39/64.39 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 254.39/64.39 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 254.39/64.39 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.39 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (1277), (1586),
% 254.39/64.39 | | | | | | | | | | | | | | | (1588), (1589) are inconsistent by sub-proof #164.
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | Case 2:
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | (1590) all_4_100 = n0
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (230), (1590) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1591) pred(n0) = all_4_76
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.39 | | | | | | | | | | | | | | | REDUCE: (199), (1590) imply:
% 254.39/64.39 | | | | | | | | | | | | | | | (1592) succ(n0) = all_4_78
% 254.39/64.39 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (187), (1592) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1593) all_4_78 = n1
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (218), (1591) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1594) all_4_76 = n10
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | REDUCE: (130), (1593), (1594) imply:
% 254.39/64.40 | | | | | | | | | | | | | | | (1595) sum(n10, n1) = all_4_72
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | REDUCE: (257), (1594) imply:
% 254.39/64.40 | | | | | | | | | | | | | | | (1596) sum(n10, n0) = all_4_74
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | REDUCE: (259), (1593) imply:
% 254.39/64.40 | | | | | | | | | | | | | | | (1597) sum(n9, n1) = all_4_77
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (106), (1597) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1598) all_4_77 = n10
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (116), (1596) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1599) all_4_74 = n10
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (117), (1595) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1600) all_4_72 = n0
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | REDUCE: (129), (1598), (1599) imply:
% 254.39/64.40 | | | | | | | | | | | | | | | (1601) sum(n10, n10) = all_4_99
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | REDUCE: (261), (1600) imply:
% 254.39/64.40 | | | | | | | | | | | | | | | (1602) sum(n9, n0) = all_4_98
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (105), (1602) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1603) all_4_98 = n9
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 254.39/64.40 | | | | | | | | | | | | | | | simplifying with (126), (1601) gives:
% 254.39/64.40 | | | | | | | | | | | | | | | (1604) all_4_99 = n9
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 254.39/64.40 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 254.39/64.40 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.40 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.40 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.40 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.40 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 254.39/64.40 | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 254.39/64.40 | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 254.39/64.40 | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 254.39/64.40 | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 254.39/64.40 | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 254.39/64.40 | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (1277),
% 254.39/64.40 | | | | | | | | | | | | | | | (1601), (1603), (1604) are inconsistent by
% 254.39/64.40 | | | | | | | | | | | | | | | sub-proof #163.
% 254.39/64.40 | | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | | End of split
% 254.39/64.40 | | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | | End of split
% 254.39/64.40 | | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | | End of split
% 254.39/64.40 | | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | | End of split
% 254.39/64.40 | | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | | End of split
% 254.39/64.40 | | | | | | | | | |
% 254.39/64.40 | | | | | | | | | End of split
% 254.39/64.40 | | | | | | | | |
% 254.39/64.40 | | | | | | | | End of split
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | End of split
% 254.39/64.40 | | | | | | |
% 254.39/64.40 | | | | | | Case 2:
% 254.39/64.40 | | | | | | |
% 254.39/64.40 | | | | | | | (1605) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~
% 254.39/64.40 | | | | | | | (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 254.39/64.40 | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 254.39/64.40 | | | | | | | (all_4_98 = all_4_99)
% 254.39/64.40 | | | | | | |
% 254.39/64.40 | | | | | | | BETA: splitting (1276) gives:
% 254.39/64.40 | | | | | | |
% 254.39/64.40 | | | | | | | Case 1:
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | (1606) all_4_100 = n8
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (230), (1606) imply:
% 254.39/64.40 | | | | | | | | (1607) pred(n8) = all_4_76
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (199), (1606) imply:
% 254.39/64.40 | | | | | | | | (1608) succ(n8) = all_4_78
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 254.39/64.40 | | | | | | | | simplifying with (195), (1608) gives:
% 254.39/64.40 | | | | | | | | (1609) all_4_78 = n9
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 254.39/64.40 | | | | | | | | simplifying with (226), (1607) gives:
% 254.39/64.40 | | | | | | | | (1610) all_4_76 = n7
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (130), (1609), (1610) imply:
% 254.39/64.40 | | | | | | | | (1611) sum(n7, n9) = all_4_72
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (257), (1610) imply:
% 254.39/64.40 | | | | | | | | (1612) sum(n7, n0) = all_4_74
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (259), (1609) imply:
% 254.39/64.40 | | | | | | | | (1613) sum(n9, n9) = all_4_77
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n0, n7,
% 254.39/64.40 | | | | | | | | simplifying with (83), (1612) gives:
% 254.39/64.40 | | | | | | | | (1614) all_4_74 = n7
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 254.39/64.40 | | | | | | | | simplifying with (92), (1611) gives:
% 254.39/64.40 | | | | | | | | (1615) all_4_72 = n5
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n9, n9,
% 254.39/64.40 | | | | | | | | simplifying with (114), (1613) gives:
% 254.39/64.40 | | | | | | | | (1616) all_4_77 = n7
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (129), (1614), (1616) imply:
% 254.39/64.40 | | | | | | | | (1617) sum(n7, n7) = all_4_99
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (261), (1615) imply:
% 254.39/64.40 | | | | | | | | (1618) sum(n9, n5) = all_4_98
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 254.39/64.40 | | | | | | | | simplifying with (90), (1617) gives:
% 254.39/64.40 | | | | | | | | (1619) all_4_99 = n3
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n5, n9,
% 254.39/64.40 | | | | | | | | simplifying with (110), (1618) gives:
% 254.39/64.40 | | | | | | | | (1620) all_4_98 = n3
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (232), (1620) imply:
% 254.39/64.40 | | | | | | | | (1621) pred(n3) = all_4_68
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (231), (1619) imply:
% 254.39/64.40 | | | | | | | | (1622) pred(n3) = all_4_71
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (201), (1620) imply:
% 254.39/64.40 | | | | | | | | (1623) succ(n3) = all_4_70
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (200), (1619) imply:
% 254.39/64.40 | | | | | | | | (1624) succ(n3) = all_4_67
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_67, n3,
% 254.39/64.40 | | | | | | | | simplifying with (190), (1624) gives:
% 254.39/64.40 | | | | | | | | (1625) all_4_67 = n4
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n3,
% 254.39/64.40 | | | | | | | | simplifying with (1623), (1624) gives:
% 254.39/64.40 | | | | | | | | (1626) all_4_67 = all_4_70
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_68, n3,
% 254.39/64.40 | | | | | | | | simplifying with (221), (1621) gives:
% 254.39/64.40 | | | | | | | | (1627) all_4_68 = n2
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n3,
% 254.39/64.40 | | | | | | | | simplifying with (1621), (1622) gives:
% 254.39/64.40 | | | | | | | | (1628) all_4_68 = all_4_71
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1625), (1626) imply:
% 254.39/64.40 | | | | | | | | (1629) all_4_70 = n4
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | SIMP: (1629) implies:
% 254.39/64.40 | | | | | | | | (1630) all_4_70 = n4
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1627), (1628) imply:
% 254.39/64.40 | | | | | | | | (1631) all_4_71 = n2
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (137), (1625), (1627) imply:
% 254.39/64.40 | | | | | | | | (1632) sum(n2, n4) = all_4_66
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (136), (1627), (1630) imply:
% 254.39/64.40 | | | | | | | | (1633) sum(n2, n4) = all_4_64
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (134), (1625), (1631) imply:
% 254.39/64.40 | | | | | | | | (1634) sum(n2, n4) = all_4_65
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (133), (1630), (1631) imply:
% 254.39/64.40 | | | | | | | | (1635) sum(n2, n4) = all_4_69
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_65, n4, n2,
% 254.39/64.40 | | | | | | | | simplifying with (32), (1634) gives:
% 254.39/64.40 | | | | | | | | (1636) all_4_65 = n6
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n4, n2,
% 254.39/64.40 | | | | | | | | simplifying with (1632), (1634) gives:
% 254.39/64.40 | | | | | | | | (1637) all_4_65 = all_4_66
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n4, n2,
% 254.39/64.40 | | | | | | | | simplifying with (1632), (1633) gives:
% 254.39/64.40 | | | | | | | | (1638) all_4_64 = all_4_66
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n4, n2,
% 254.39/64.40 | | | | | | | | simplifying with (1633), (1635) gives:
% 254.39/64.40 | | | | | | | | (1639) all_4_64 = all_4_69
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1638), (1639) imply:
% 254.39/64.40 | | | | | | | | (1640) all_4_66 = all_4_69
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | SIMP: (1640) implies:
% 254.39/64.40 | | | | | | | | (1641) all_4_66 = all_4_69
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1636), (1637) imply:
% 254.39/64.40 | | | | | | | | (1642) all_4_66 = n6
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | SIMP: (1642) implies:
% 254.39/64.40 | | | | | | | | (1643) all_4_66 = n6
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1641), (1643) imply:
% 254.39/64.40 | | | | | | | | (1644) all_4_69 = n6
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1639), (1644) imply:
% 254.39/64.40 | | | | | | | | (1645) all_4_64 = n6
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (138), (1636), (1645) imply:
% 254.39/64.40 | | | | | | | | (1646) sum(n6, n6) = all_4_96
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (135), (1643), (1644) imply:
% 254.39/64.40 | | | | | | | | (1647) sum(n6, n6) = all_4_97
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_96, n6, n6,
% 254.39/64.40 | | | | | | | | simplifying with (78), (1646) gives:
% 254.39/64.40 | | | | | | | | (1648) all_4_96 = n1
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n6, n6,
% 254.39/64.40 | | | | | | | | simplifying with (1646), (1647) gives:
% 254.39/64.40 | | | | | | | | (1649) all_4_96 = all_4_97
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1648), (1649) imply:
% 254.39/64.40 | | | | | | | | (1650) all_4_97 = n1
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (234), (1648) imply:
% 254.39/64.40 | | | | | | | | (1651) pred(n1) = all_4_60
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (233), (1650) imply:
% 254.39/64.40 | | | | | | | | (1652) pred(n1) = all_4_63
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (203), (1648) imply:
% 254.39/64.40 | | | | | | | | (1653) succ(n1) = all_4_62
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (202), (1650) imply:
% 254.39/64.40 | | | | | | | | (1654) succ(n1) = all_4_59
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_59, n1,
% 254.39/64.40 | | | | | | | | simplifying with (188), (1654) gives:
% 254.39/64.40 | | | | | | | | (1655) all_4_59 = n2
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n1,
% 254.39/64.40 | | | | | | | | simplifying with (1653), (1654) gives:
% 254.39/64.40 | | | | | | | | (1656) all_4_59 = all_4_62
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_60, n1,
% 254.39/64.40 | | | | | | | | simplifying with (219), (1651) gives:
% 254.39/64.40 | | | | | | | | (1657) all_4_60 = n0
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n1,
% 254.39/64.40 | | | | | | | | simplifying with (1651), (1652) gives:
% 254.39/64.40 | | | | | | | | (1658) all_4_60 = all_4_63
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1655), (1656) imply:
% 254.39/64.40 | | | | | | | | (1659) all_4_62 = n2
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | SIMP: (1659) implies:
% 254.39/64.40 | | | | | | | | (1660) all_4_62 = n2
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | COMBINE_EQS: (1657), (1658) imply:
% 254.39/64.40 | | | | | | | | (1661) all_4_63 = n0
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (143), (1655), (1657) imply:
% 254.39/64.40 | | | | | | | | (1662) sum(n0, n2) = all_4_58
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (142), (1657), (1660) imply:
% 254.39/64.40 | | | | | | | | (1663) sum(n0, n2) = all_4_56
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (140), (1655), (1661) imply:
% 254.39/64.40 | | | | | | | | (1664) sum(n0, n2) = all_4_57
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | REDUCE: (139), (1660), (1661) imply:
% 254.39/64.40 | | | | | | | | (1665) sum(n0, n2) = all_4_61
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_58, n2, n0,
% 254.39/64.40 | | | | | | | | simplifying with (8), (1662) gives:
% 254.39/64.40 | | | | | | | | (1666) all_4_58 = n2
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n2, n0,
% 254.39/64.40 | | | | | | | | simplifying with (1662), (1664) gives:
% 254.39/64.40 | | | | | | | | (1667) all_4_57 = all_4_58
% 254.39/64.40 | | | | | | | |
% 254.39/64.40 | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n2, n0,
% 254.39/64.40 | | | | | | | | simplifying with (1663), (1664) gives:
% 254.39/64.41 | | | | | | | | (1668) all_4_56 = all_4_57
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n2, n0,
% 254.39/64.41 | | | | | | | | simplifying with (1663), (1665) gives:
% 254.39/64.41 | | | | | | | | (1669) all_4_56 = all_4_61
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1668), (1669) imply:
% 254.39/64.41 | | | | | | | | (1670) all_4_57 = all_4_61
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1670) implies:
% 254.39/64.41 | | | | | | | | (1671) all_4_57 = all_4_61
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1667), (1671) imply:
% 254.39/64.41 | | | | | | | | (1672) all_4_58 = all_4_61
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1672) implies:
% 254.39/64.41 | | | | | | | | (1673) all_4_58 = all_4_61
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1666), (1673) imply:
% 254.39/64.41 | | | | | | | | (1674) all_4_61 = n2
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1671), (1674) imply:
% 254.39/64.41 | | | | | | | | (1675) all_4_57 = n2
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1669), (1674) imply:
% 254.39/64.41 | | | | | | | | (1676) all_4_56 = n2
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (144), (1675), (1676) imply:
% 254.39/64.41 | | | | | | | | (1677) sum(n2, n2) = all_4_94
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (141), (1666), (1674) imply:
% 254.39/64.41 | | | | | | | | (1678) sum(n2, n2) = all_4_95
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_94, n2, n2,
% 254.39/64.41 | | | | | | | | simplifying with (30), (1677) gives:
% 254.39/64.41 | | | | | | | | (1679) all_4_94 = n4
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n2, n2,
% 254.39/64.41 | | | | | | | | simplifying with (1677), (1678) gives:
% 254.39/64.41 | | | | | | | | (1680) all_4_94 = all_4_95
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1679), (1680) imply:
% 254.39/64.41 | | | | | | | | (1681) all_4_95 = n4
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (236), (1679) imply:
% 254.39/64.41 | | | | | | | | (1682) pred(n4) = all_4_52
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (235), (1681) imply:
% 254.39/64.41 | | | | | | | | (1683) pred(n4) = all_4_55
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (205), (1679) imply:
% 254.39/64.41 | | | | | | | | (1684) succ(n4) = all_4_54
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (204), (1681) imply:
% 254.39/64.41 | | | | | | | | (1685) succ(n4) = all_4_51
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_51, n4,
% 254.39/64.41 | | | | | | | | simplifying with (191), (1685) gives:
% 254.39/64.41 | | | | | | | | (1686) all_4_51 = n5
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n4,
% 254.39/64.41 | | | | | | | | simplifying with (1684), (1685) gives:
% 254.39/64.41 | | | | | | | | (1687) all_4_51 = all_4_54
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_52, n4,
% 254.39/64.41 | | | | | | | | simplifying with (222), (1682) gives:
% 254.39/64.41 | | | | | | | | (1688) all_4_52 = n3
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n4,
% 254.39/64.41 | | | | | | | | simplifying with (1682), (1683) gives:
% 254.39/64.41 | | | | | | | | (1689) all_4_52 = all_4_55
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1686), (1687) imply:
% 254.39/64.41 | | | | | | | | (1690) all_4_54 = n5
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1690) implies:
% 254.39/64.41 | | | | | | | | (1691) all_4_54 = n5
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1688), (1689) imply:
% 254.39/64.41 | | | | | | | | (1692) all_4_55 = n3
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (149), (1686), (1688) imply:
% 254.39/64.41 | | | | | | | | (1693) sum(n3, n5) = all_4_50
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (148), (1688), (1691) imply:
% 254.39/64.41 | | | | | | | | (1694) sum(n3, n5) = all_4_48
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (146), (1686), (1692) imply:
% 254.39/64.41 | | | | | | | | (1695) sum(n3, n5) = all_4_49
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (145), (1691), (1692) imply:
% 254.39/64.41 | | | | | | | | (1696) sum(n3, n5) = all_4_53
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_50, n5, n3,
% 254.39/64.41 | | | | | | | | simplifying with (44), (1693) gives:
% 254.39/64.41 | | | | | | | | (1697) all_4_50 = n8
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n5, n3,
% 254.39/64.41 | | | | | | | | simplifying with (1693), (1695) gives:
% 254.39/64.41 | | | | | | | | (1698) all_4_49 = all_4_50
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n5, n3,
% 254.39/64.41 | | | | | | | | simplifying with (1694), (1695) gives:
% 254.39/64.41 | | | | | | | | (1699) all_4_48 = all_4_49
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n5, n3,
% 254.39/64.41 | | | | | | | | simplifying with (1694), (1696) gives:
% 254.39/64.41 | | | | | | | | (1700) all_4_48 = all_4_53
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1699), (1700) imply:
% 254.39/64.41 | | | | | | | | (1701) all_4_49 = all_4_53
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1701) implies:
% 254.39/64.41 | | | | | | | | (1702) all_4_49 = all_4_53
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1698), (1702) imply:
% 254.39/64.41 | | | | | | | | (1703) all_4_50 = all_4_53
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1703) implies:
% 254.39/64.41 | | | | | | | | (1704) all_4_50 = all_4_53
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1697), (1704) imply:
% 254.39/64.41 | | | | | | | | (1705) all_4_53 = n8
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1702), (1705) imply:
% 254.39/64.41 | | | | | | | | (1706) all_4_49 = n8
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1700), (1705) imply:
% 254.39/64.41 | | | | | | | | (1707) all_4_48 = n8
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (150), (1706), (1707) imply:
% 254.39/64.41 | | | | | | | | (1708) sum(n8, n8) = all_4_92
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (147), (1697), (1705) imply:
% 254.39/64.41 | | | | | | | | (1709) sum(n8, n8) = all_4_93
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_92, n8, n8,
% 254.39/64.41 | | | | | | | | simplifying with (102), (1708) gives:
% 254.39/64.41 | | | | | | | | (1710) all_4_92 = n5
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n8, n8,
% 254.39/64.41 | | | | | | | | simplifying with (1708), (1709) gives:
% 254.39/64.41 | | | | | | | | (1711) all_4_92 = all_4_93
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1710), (1711) imply:
% 254.39/64.41 | | | | | | | | (1712) all_4_93 = n5
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1712) implies:
% 254.39/64.41 | | | | | | | | (1713) all_4_93 = n5
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (238), (1710) imply:
% 254.39/64.41 | | | | | | | | (1714) pred(n5) = all_4_44
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (237), (1713) imply:
% 254.39/64.41 | | | | | | | | (1715) pred(n5) = all_4_47
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (207), (1710) imply:
% 254.39/64.41 | | | | | | | | (1716) succ(n5) = all_4_46
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (206), (1713) imply:
% 254.39/64.41 | | | | | | | | (1717) succ(n5) = all_4_43
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_43, n5,
% 254.39/64.41 | | | | | | | | simplifying with (192), (1717) gives:
% 254.39/64.41 | | | | | | | | (1718) all_4_43 = n6
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n5,
% 254.39/64.41 | | | | | | | | simplifying with (1716), (1717) gives:
% 254.39/64.41 | | | | | | | | (1719) all_4_43 = all_4_46
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_44, n5,
% 254.39/64.41 | | | | | | | | simplifying with (223), (1714) gives:
% 254.39/64.41 | | | | | | | | (1720) all_4_44 = n4
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n5,
% 254.39/64.41 | | | | | | | | simplifying with (1714), (1715) gives:
% 254.39/64.41 | | | | | | | | (1721) all_4_44 = all_4_47
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1718), (1719) imply:
% 254.39/64.41 | | | | | | | | (1722) all_4_46 = n6
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1722) implies:
% 254.39/64.41 | | | | | | | | (1723) all_4_46 = n6
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1720), (1721) imply:
% 254.39/64.41 | | | | | | | | (1724) all_4_47 = n4
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (155), (1718), (1720) imply:
% 254.39/64.41 | | | | | | | | (1725) sum(n4, n6) = all_4_42
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (154), (1720), (1723) imply:
% 254.39/64.41 | | | | | | | | (1726) sum(n4, n6) = all_4_40
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (152), (1718), (1724) imply:
% 254.39/64.41 | | | | | | | | (1727) sum(n4, n6) = all_4_41
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (151), (1723), (1724) imply:
% 254.39/64.41 | | | | | | | | (1728) sum(n4, n6) = all_4_45
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_42, n6, n4,
% 254.39/64.41 | | | | | | | | simplifying with (56), (1725) gives:
% 254.39/64.41 | | | | | | | | (1729) all_4_42 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n6, n4,
% 254.39/64.41 | | | | | | | | simplifying with (1725), (1727) gives:
% 254.39/64.41 | | | | | | | | (1730) all_4_41 = all_4_42
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n6, n4,
% 254.39/64.41 | | | | | | | | simplifying with (1726), (1727) gives:
% 254.39/64.41 | | | | | | | | (1731) all_4_40 = all_4_41
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n6, n4,
% 254.39/64.41 | | | | | | | | simplifying with (1726), (1728) gives:
% 254.39/64.41 | | | | | | | | (1732) all_4_40 = all_4_45
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1731), (1732) imply:
% 254.39/64.41 | | | | | | | | (1733) all_4_41 = all_4_45
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1733) implies:
% 254.39/64.41 | | | | | | | | (1734) all_4_41 = all_4_45
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1730), (1734) imply:
% 254.39/64.41 | | | | | | | | (1735) all_4_42 = all_4_45
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1735) implies:
% 254.39/64.41 | | | | | | | | (1736) all_4_42 = all_4_45
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1729), (1736) imply:
% 254.39/64.41 | | | | | | | | (1737) all_4_45 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1734), (1737) imply:
% 254.39/64.41 | | | | | | | | (1738) all_4_41 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1732), (1737) imply:
% 254.39/64.41 | | | | | | | | (1739) all_4_40 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (156), (1738), (1739) imply:
% 254.39/64.41 | | | | | | | | (1740) sum(n10, n10) = all_4_90
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (153), (1729), (1737) imply:
% 254.39/64.41 | | | | | | | | (1741) sum(n10, n10) = all_4_91
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_90, n10, n10,
% 254.39/64.41 | | | | | | | | simplifying with (126), (1740) gives:
% 254.39/64.41 | | | | | | | | (1742) all_4_90 = n9
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n10,
% 254.39/64.41 | | | | | | | | n10, simplifying with (1740), (1741) gives:
% 254.39/64.41 | | | | | | | | (1743) all_4_90 = all_4_91
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1742), (1743) imply:
% 254.39/64.41 | | | | | | | | (1744) all_4_91 = n9
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (240), (1742) imply:
% 254.39/64.41 | | | | | | | | (1745) pred(n9) = all_4_36
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (239), (1744) imply:
% 254.39/64.41 | | | | | | | | (1746) pred(n9) = all_4_39
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (209), (1742) imply:
% 254.39/64.41 | | | | | | | | (1747) succ(n9) = all_4_38
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (208), (1744) imply:
% 254.39/64.41 | | | | | | | | (1748) succ(n9) = all_4_35
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_35, n9,
% 254.39/64.41 | | | | | | | | simplifying with (196), (1748) gives:
% 254.39/64.41 | | | | | | | | (1749) all_4_35 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n9,
% 254.39/64.41 | | | | | | | | simplifying with (1747), (1748) gives:
% 254.39/64.41 | | | | | | | | (1750) all_4_35 = all_4_38
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_36, n9,
% 254.39/64.41 | | | | | | | | simplifying with (227), (1745) gives:
% 254.39/64.41 | | | | | | | | (1751) all_4_36 = n8
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n9,
% 254.39/64.41 | | | | | | | | simplifying with (1745), (1746) gives:
% 254.39/64.41 | | | | | | | | (1752) all_4_36 = all_4_39
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1749), (1750) imply:
% 254.39/64.41 | | | | | | | | (1753) all_4_38 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1753) implies:
% 254.39/64.41 | | | | | | | | (1754) all_4_38 = n10
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1751), (1752) imply:
% 254.39/64.41 | | | | | | | | (1755) all_4_39 = n8
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (161), (1749), (1751) imply:
% 254.39/64.41 | | | | | | | | (1756) sum(n8, n10) = all_4_34
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (160), (1751), (1754) imply:
% 254.39/64.41 | | | | | | | | (1757) sum(n8, n10) = all_4_32
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (158), (1749), (1755) imply:
% 254.39/64.41 | | | | | | | | (1758) sum(n8, n10) = all_4_33
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | REDUCE: (157), (1754), (1755) imply:
% 254.39/64.41 | | | | | | | | (1759) sum(n8, n10) = all_4_37
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_34, n10, n8,
% 254.39/64.41 | | | | | | | | simplifying with (104), (1756) gives:
% 254.39/64.41 | | | | | | | | (1760) all_4_34 = n7
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n10, n8,
% 254.39/64.41 | | | | | | | | simplifying with (1756), (1758) gives:
% 254.39/64.41 | | | | | | | | (1761) all_4_33 = all_4_34
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n10, n8,
% 254.39/64.41 | | | | | | | | simplifying with (1757), (1758) gives:
% 254.39/64.41 | | | | | | | | (1762) all_4_32 = all_4_33
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n10, n8,
% 254.39/64.41 | | | | | | | | simplifying with (1757), (1759) gives:
% 254.39/64.41 | | | | | | | | (1763) all_4_32 = all_4_37
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1762), (1763) imply:
% 254.39/64.41 | | | | | | | | (1764) all_4_33 = all_4_37
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1764) implies:
% 254.39/64.41 | | | | | | | | (1765) all_4_33 = all_4_37
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1761), (1765) imply:
% 254.39/64.41 | | | | | | | | (1766) all_4_34 = all_4_37
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | SIMP: (1766) implies:
% 254.39/64.41 | | | | | | | | (1767) all_4_34 = all_4_37
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1760), (1767) imply:
% 254.39/64.41 | | | | | | | | (1768) all_4_37 = n7
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1765), (1768) imply:
% 254.39/64.41 | | | | | | | | (1769) all_4_33 = n7
% 254.39/64.41 | | | | | | | |
% 254.39/64.41 | | | | | | | | COMBINE_EQS: (1763), (1768) imply:
% 254.39/64.41 | | | | | | | | (1770) all_4_32 = n7
% 254.39/64.41 | | | | | | | |
% 254.39/64.42 | | | | | | | | REDUCE: (162), (1769), (1770) imply:
% 254.39/64.42 | | | | | | | | (1771) sum(n7, n7) = all_4_88
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | REDUCE: (159), (1760), (1768) imply:
% 254.39/64.42 | | | | | | | | (1772) sum(n7, n7) = all_4_89
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_88, n7, n7,
% 254.39/64.42 | | | | | | | | simplifying with (90), (1771) gives:
% 254.39/64.42 | | | | | | | | (1773) all_4_88 = n3
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n7, n7,
% 254.39/64.42 | | | | | | | | simplifying with (1771), (1772) gives:
% 254.39/64.42 | | | | | | | | (1774) all_4_88 = all_4_89
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | COMBINE_EQS: (1773), (1774) imply:
% 254.39/64.42 | | | | | | | | (1775) all_4_89 = n3
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | REDUCE: (242), (1773) imply:
% 254.39/64.42 | | | | | | | | (1776) pred(n3) = all_4_28
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | REDUCE: (241), (1775) imply:
% 254.39/64.42 | | | | | | | | (1777) pred(n3) = all_4_31
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | REDUCE: (211), (1773) imply:
% 254.39/64.42 | | | | | | | | (1778) succ(n3) = all_4_30
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | REDUCE: (210), (1775) imply:
% 254.39/64.42 | | | | | | | | (1779) succ(n3) = all_4_27
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | BETA: splitting (1605) gives:
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | Case 1:
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | (1780) ~ (all_4_86 = all_4_87)
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_27, n3,
% 254.39/64.42 | | | | | | | | | simplifying with (190), (1779) gives:
% 254.39/64.42 | | | | | | | | | (1781) all_4_27 = n4
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (163), (164), (165),
% 254.39/64.42 | | | | | | | | | (166), (167), (168), (221), (1776), (1777), (1778),
% 254.39/64.42 | | | | | | | | | (1779), (1780), (1781) are inconsistent by
% 254.39/64.42 | | | | | | | | | sub-proof #162.
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | Case 2:
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | (1782) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91)
% 254.39/64.42 | | | | | | | | | | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 254.39/64.42 | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 254.39/64.42 | | | | | | | | | (all_4_98 = all_4_99)
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | REF_CLOSE: (1619), (1620), (1648), (1650), (1679), (1681),
% 254.39/64.42 | | | | | | | | | (1710), (1713), (1742), (1744), (1773), (1775),
% 254.39/64.42 | | | | | | | | | (1782) are inconsistent by sub-proof #157.
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | End of split
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | Case 2:
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | (1783) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 254.39/64.42 | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.39/64.42 | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | BETA: splitting (1605) gives:
% 254.39/64.42 | | | | | | | |
% 254.39/64.42 | | | | | | | | Case 1:
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | (1784) ~ (all_4_86 = all_4_87)
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | BETA: splitting (1783) gives:
% 254.39/64.42 | | | | | | | | |
% 254.39/64.42 | | | | | | | | | Case 1:
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | (1785) all_4_100 = n7
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (230), (1785) imply:
% 254.39/64.42 | | | | | | | | | | (1786) pred(n7) = all_4_76
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (199), (1785) imply:
% 254.39/64.42 | | | | | | | | | | (1787) succ(n7) = all_4_78
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 254.39/64.42 | | | | | | | | | | simplifying with (194), (1787) gives:
% 254.39/64.42 | | | | | | | | | | (1788) all_4_78 = n8
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 254.39/64.42 | | | | | | | | | | simplifying with (225), (1786) gives:
% 254.39/64.42 | | | | | | | | | | (1789) all_4_76 = n6
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (130), (1788), (1789) imply:
% 254.39/64.42 | | | | | | | | | | (1790) sum(n6, n8) = all_4_72
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (257), (1789) imply:
% 254.39/64.42 | | | | | | | | | | (1791) sum(n6, n0) = all_4_74
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (259), (1788) imply:
% 254.39/64.42 | | | | | | | | | | (1792) sum(n9, n8) = all_4_77
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n0, n6,
% 254.39/64.42 | | | | | | | | | | simplifying with (72), (1791) gives:
% 254.39/64.42 | | | | | | | | | | (1793) all_4_74 = n6
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 254.39/64.42 | | | | | | | | | | simplifying with (80), (1790) gives:
% 254.39/64.42 | | | | | | | | | | (1794) all_4_72 = n3
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n8, n9,
% 254.39/64.42 | | | | | | | | | | simplifying with (113), (1792) gives:
% 254.39/64.42 | | | | | | | | | | (1795) all_4_77 = n6
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (129), (1793), (1795) imply:
% 254.39/64.42 | | | | | | | | | | (1796) sum(n6, n6) = all_4_99
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (261), (1794) imply:
% 254.39/64.42 | | | | | | | | | | (1797) sum(n9, n3) = all_4_98
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 254.39/64.42 | | | | | | | | | | simplifying with (78), (1796) gives:
% 254.39/64.42 | | | | | | | | | | (1798) all_4_99 = n1
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n3, n9,
% 254.39/64.42 | | | | | | | | | | simplifying with (108), (1797) gives:
% 254.39/64.42 | | | | | | | | | | (1799) all_4_98 = n1
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (232), (1799) imply:
% 254.39/64.42 | | | | | | | | | | (1800) pred(n1) = all_4_68
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (231), (1798) imply:
% 254.39/64.42 | | | | | | | | | | (1801) pred(n1) = all_4_71
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (201), (1799) imply:
% 254.39/64.42 | | | | | | | | | | (1802) succ(n1) = all_4_70
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (200), (1798) imply:
% 254.39/64.42 | | | | | | | | | | (1803) succ(n1) = all_4_67
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_67, n1,
% 254.39/64.42 | | | | | | | | | | simplifying with (188), (1803) gives:
% 254.39/64.42 | | | | | | | | | | (1804) all_4_67 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n1,
% 254.39/64.42 | | | | | | | | | | simplifying with (1802), (1803) gives:
% 254.39/64.42 | | | | | | | | | | (1805) all_4_67 = all_4_70
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_68, n1,
% 254.39/64.42 | | | | | | | | | | simplifying with (219), (1800) gives:
% 254.39/64.42 | | | | | | | | | | (1806) all_4_68 = n0
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n1,
% 254.39/64.42 | | | | | | | | | | simplifying with (1800), (1801) gives:
% 254.39/64.42 | | | | | | | | | | (1807) all_4_68 = all_4_71
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1804), (1805) imply:
% 254.39/64.42 | | | | | | | | | | (1808) all_4_70 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1806), (1807) imply:
% 254.39/64.42 | | | | | | | | | | (1809) all_4_71 = n0
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (137), (1804), (1806) imply:
% 254.39/64.42 | | | | | | | | | | (1810) sum(n0, n2) = all_4_66
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (136), (1806), (1808) imply:
% 254.39/64.42 | | | | | | | | | | (1811) sum(n0, n2) = all_4_64
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (134), (1804), (1809) imply:
% 254.39/64.42 | | | | | | | | | | (1812) sum(n0, n2) = all_4_65
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (133), (1808), (1809) imply:
% 254.39/64.42 | | | | | | | | | | (1813) sum(n0, n2) = all_4_69
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_65, n2, n0,
% 254.39/64.42 | | | | | | | | | | simplifying with (8), (1812) gives:
% 254.39/64.42 | | | | | | | | | | (1814) all_4_65 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n2, n0,
% 254.39/64.42 | | | | | | | | | | simplifying with (1810), (1812) gives:
% 254.39/64.42 | | | | | | | | | | (1815) all_4_65 = all_4_66
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n2, n0,
% 254.39/64.42 | | | | | | | | | | simplifying with (1810), (1811) gives:
% 254.39/64.42 | | | | | | | | | | (1816) all_4_64 = all_4_66
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n2, n0,
% 254.39/64.42 | | | | | | | | | | simplifying with (1811), (1813) gives:
% 254.39/64.42 | | | | | | | | | | (1817) all_4_64 = all_4_69
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1816), (1817) imply:
% 254.39/64.42 | | | | | | | | | | (1818) all_4_66 = all_4_69
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | SIMP: (1818) implies:
% 254.39/64.42 | | | | | | | | | | (1819) all_4_66 = all_4_69
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1814), (1815) imply:
% 254.39/64.42 | | | | | | | | | | (1820) all_4_66 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | SIMP: (1820) implies:
% 254.39/64.42 | | | | | | | | | | (1821) all_4_66 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1819), (1821) imply:
% 254.39/64.42 | | | | | | | | | | (1822) all_4_69 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1817), (1822) imply:
% 254.39/64.42 | | | | | | | | | | (1823) all_4_64 = n2
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (138), (1814), (1823) imply:
% 254.39/64.42 | | | | | | | | | | (1824) sum(n2, n2) = all_4_96
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (135), (1821), (1822) imply:
% 254.39/64.42 | | | | | | | | | | (1825) sum(n2, n2) = all_4_97
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_96, n2, n2,
% 254.39/64.42 | | | | | | | | | | simplifying with (30), (1824) gives:
% 254.39/64.42 | | | | | | | | | | (1826) all_4_96 = n4
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n2, n2,
% 254.39/64.42 | | | | | | | | | | simplifying with (1824), (1825) gives:
% 254.39/64.42 | | | | | | | | | | (1827) all_4_96 = all_4_97
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1826), (1827) imply:
% 254.39/64.42 | | | | | | | | | | (1828) all_4_97 = n4
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | SIMP: (1828) implies:
% 254.39/64.42 | | | | | | | | | | (1829) all_4_97 = n4
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (234), (1826) imply:
% 254.39/64.42 | | | | | | | | | | (1830) pred(n4) = all_4_60
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (233), (1829) imply:
% 254.39/64.42 | | | | | | | | | | (1831) pred(n4) = all_4_63
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (203), (1826) imply:
% 254.39/64.42 | | | | | | | | | | (1832) succ(n4) = all_4_62
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (202), (1829) imply:
% 254.39/64.42 | | | | | | | | | | (1833) succ(n4) = all_4_59
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_59, n4,
% 254.39/64.42 | | | | | | | | | | simplifying with (191), (1833) gives:
% 254.39/64.42 | | | | | | | | | | (1834) all_4_59 = n5
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n4,
% 254.39/64.42 | | | | | | | | | | simplifying with (1832), (1833) gives:
% 254.39/64.42 | | | | | | | | | | (1835) all_4_59 = all_4_62
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_60, n4,
% 254.39/64.42 | | | | | | | | | | simplifying with (222), (1830) gives:
% 254.39/64.42 | | | | | | | | | | (1836) all_4_60 = n3
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n4,
% 254.39/64.42 | | | | | | | | | | simplifying with (1830), (1831) gives:
% 254.39/64.42 | | | | | | | | | | (1837) all_4_60 = all_4_63
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1834), (1835) imply:
% 254.39/64.42 | | | | | | | | | | (1838) all_4_62 = n5
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | COMBINE_EQS: (1836), (1837) imply:
% 254.39/64.42 | | | | | | | | | | (1839) all_4_63 = n3
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (143), (1834), (1836) imply:
% 254.39/64.42 | | | | | | | | | | (1840) sum(n3, n5) = all_4_58
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (142), (1836), (1838) imply:
% 254.39/64.42 | | | | | | | | | | (1841) sum(n3, n5) = all_4_56
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (140), (1834), (1839) imply:
% 254.39/64.42 | | | | | | | | | | (1842) sum(n3, n5) = all_4_57
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | REDUCE: (139), (1838), (1839) imply:
% 254.39/64.42 | | | | | | | | | | (1843) sum(n3, n5) = all_4_61
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_57, n5, n3,
% 254.39/64.42 | | | | | | | | | | simplifying with (44), (1842) gives:
% 254.39/64.42 | | | | | | | | | | (1844) all_4_57 = n8
% 254.39/64.42 | | | | | | | | | |
% 254.39/64.42 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n5, n3,
% 254.39/64.42 | | | | | | | | | | simplifying with (1840), (1842) gives:
% 254.39/64.43 | | | | | | | | | | (1845) all_4_57 = all_4_58
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n5, n3,
% 254.39/64.43 | | | | | | | | | | simplifying with (1841), (1842) gives:
% 254.39/64.43 | | | | | | | | | | (1846) all_4_56 = all_4_57
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n5, n3,
% 254.39/64.43 | | | | | | | | | | simplifying with (1841), (1843) gives:
% 254.39/64.43 | | | | | | | | | | (1847) all_4_56 = all_4_61
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1846), (1847) imply:
% 254.39/64.43 | | | | | | | | | | (1848) all_4_57 = all_4_61
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1848) implies:
% 254.39/64.43 | | | | | | | | | | (1849) all_4_57 = all_4_61
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1844), (1845) imply:
% 254.39/64.43 | | | | | | | | | | (1850) all_4_58 = n8
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1845), (1849) imply:
% 254.39/64.43 | | | | | | | | | | (1851) all_4_58 = all_4_61
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1850), (1851) imply:
% 254.39/64.43 | | | | | | | | | | (1852) all_4_61 = n8
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1847), (1852) imply:
% 254.39/64.43 | | | | | | | | | | (1853) all_4_56 = n8
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (144), (1844), (1853) imply:
% 254.39/64.43 | | | | | | | | | | (1854) sum(n8, n8) = all_4_94
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (141), (1850), (1852) imply:
% 254.39/64.43 | | | | | | | | | | (1855) sum(n8, n8) = all_4_95
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_94, n8, n8,
% 254.39/64.43 | | | | | | | | | | simplifying with (102), (1854) gives:
% 254.39/64.43 | | | | | | | | | | (1856) all_4_94 = n5
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n8, n8,
% 254.39/64.43 | | | | | | | | | | simplifying with (1854), (1855) gives:
% 254.39/64.43 | | | | | | | | | | (1857) all_4_94 = all_4_95
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1856), (1857) imply:
% 254.39/64.43 | | | | | | | | | | (1858) all_4_95 = n5
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (236), (1856) imply:
% 254.39/64.43 | | | | | | | | | | (1859) pred(n5) = all_4_52
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (235), (1858) imply:
% 254.39/64.43 | | | | | | | | | | (1860) pred(n5) = all_4_55
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (205), (1856) imply:
% 254.39/64.43 | | | | | | | | | | (1861) succ(n5) = all_4_54
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (204), (1858) imply:
% 254.39/64.43 | | | | | | | | | | (1862) succ(n5) = all_4_51
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_51, n5,
% 254.39/64.43 | | | | | | | | | | simplifying with (192), (1862) gives:
% 254.39/64.43 | | | | | | | | | | (1863) all_4_51 = n6
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n5,
% 254.39/64.43 | | | | | | | | | | simplifying with (1861), (1862) gives:
% 254.39/64.43 | | | | | | | | | | (1864) all_4_51 = all_4_54
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_52, n5,
% 254.39/64.43 | | | | | | | | | | simplifying with (223), (1859) gives:
% 254.39/64.43 | | | | | | | | | | (1865) all_4_52 = n4
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n5,
% 254.39/64.43 | | | | | | | | | | simplifying with (1859), (1860) gives:
% 254.39/64.43 | | | | | | | | | | (1866) all_4_52 = all_4_55
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1863), (1864) imply:
% 254.39/64.43 | | | | | | | | | | (1867) all_4_54 = n6
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1865), (1866) imply:
% 254.39/64.43 | | | | | | | | | | (1868) all_4_55 = n4
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1868) implies:
% 254.39/64.43 | | | | | | | | | | (1869) all_4_55 = n4
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (149), (1863), (1865) imply:
% 254.39/64.43 | | | | | | | | | | (1870) sum(n4, n6) = all_4_50
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (148), (1865), (1867) imply:
% 254.39/64.43 | | | | | | | | | | (1871) sum(n4, n6) = all_4_48
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (146), (1863), (1869) imply:
% 254.39/64.43 | | | | | | | | | | (1872) sum(n4, n6) = all_4_49
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (145), (1867), (1869) imply:
% 254.39/64.43 | | | | | | | | | | (1873) sum(n4, n6) = all_4_53
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_49, n6, n4,
% 254.39/64.43 | | | | | | | | | | simplifying with (56), (1872) gives:
% 254.39/64.43 | | | | | | | | | | (1874) all_4_49 = n10
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n6, n4,
% 254.39/64.43 | | | | | | | | | | simplifying with (1870), (1872) gives:
% 254.39/64.43 | | | | | | | | | | (1875) all_4_49 = all_4_50
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n6, n4,
% 254.39/64.43 | | | | | | | | | | simplifying with (1871), (1872) gives:
% 254.39/64.43 | | | | | | | | | | (1876) all_4_48 = all_4_49
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n6, n4,
% 254.39/64.43 | | | | | | | | | | simplifying with (1871), (1873) gives:
% 254.39/64.43 | | | | | | | | | | (1877) all_4_48 = all_4_53
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1876), (1877) imply:
% 254.39/64.43 | | | | | | | | | | (1878) all_4_49 = all_4_53
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1878) implies:
% 254.39/64.43 | | | | | | | | | | (1879) all_4_49 = all_4_53
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1874), (1875) imply:
% 254.39/64.43 | | | | | | | | | | (1880) all_4_50 = n10
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1875), (1879) imply:
% 254.39/64.43 | | | | | | | | | | (1881) all_4_50 = all_4_53
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1880), (1881) imply:
% 254.39/64.43 | | | | | | | | | | (1882) all_4_53 = n10
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1877), (1882) imply:
% 254.39/64.43 | | | | | | | | | | (1883) all_4_48 = n10
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (150), (1874), (1883) imply:
% 254.39/64.43 | | | | | | | | | | (1884) sum(n10, n10) = all_4_92
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (147), (1880), (1882) imply:
% 254.39/64.43 | | | | | | | | | | (1885) sum(n10, n10) = all_4_93
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_92, n10, n10,
% 254.39/64.43 | | | | | | | | | | simplifying with (126), (1884) gives:
% 254.39/64.43 | | | | | | | | | | (1886) all_4_92 = n9
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n10,
% 254.39/64.43 | | | | | | | | | | n10, simplifying with (1884), (1885) gives:
% 254.39/64.43 | | | | | | | | | | (1887) all_4_92 = all_4_93
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1886), (1887) imply:
% 254.39/64.43 | | | | | | | | | | (1888) all_4_93 = n9
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1888) implies:
% 254.39/64.43 | | | | | | | | | | (1889) all_4_93 = n9
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (238), (1886) imply:
% 254.39/64.43 | | | | | | | | | | (1890) pred(n9) = all_4_44
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (237), (1889) imply:
% 254.39/64.43 | | | | | | | | | | (1891) pred(n9) = all_4_47
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (207), (1886) imply:
% 254.39/64.43 | | | | | | | | | | (1892) succ(n9) = all_4_46
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (206), (1889) imply:
% 254.39/64.43 | | | | | | | | | | (1893) succ(n9) = all_4_43
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_43, n9,
% 254.39/64.43 | | | | | | | | | | simplifying with (196), (1893) gives:
% 254.39/64.43 | | | | | | | | | | (1894) all_4_43 = n10
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n9,
% 254.39/64.43 | | | | | | | | | | simplifying with (1892), (1893) gives:
% 254.39/64.43 | | | | | | | | | | (1895) all_4_43 = all_4_46
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_44, n9,
% 254.39/64.43 | | | | | | | | | | simplifying with (227), (1890) gives:
% 254.39/64.43 | | | | | | | | | | (1896) all_4_44 = n8
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n9,
% 254.39/64.43 | | | | | | | | | | simplifying with (1890), (1891) gives:
% 254.39/64.43 | | | | | | | | | | (1897) all_4_44 = all_4_47
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1894), (1895) imply:
% 254.39/64.43 | | | | | | | | | | (1898) all_4_46 = n10
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1896), (1897) imply:
% 254.39/64.43 | | | | | | | | | | (1899) all_4_47 = n8
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (155), (1894), (1896) imply:
% 254.39/64.43 | | | | | | | | | | (1900) sum(n8, n10) = all_4_42
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (154), (1896), (1898) imply:
% 254.39/64.43 | | | | | | | | | | (1901) sum(n8, n10) = all_4_40
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (152), (1894), (1899) imply:
% 254.39/64.43 | | | | | | | | | | (1902) sum(n8, n10) = all_4_41
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (151), (1898), (1899) imply:
% 254.39/64.43 | | | | | | | | | | (1903) sum(n8, n10) = all_4_45
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_41, n10, n8,
% 254.39/64.43 | | | | | | | | | | simplifying with (104), (1902) gives:
% 254.39/64.43 | | | | | | | | | | (1904) all_4_41 = n7
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n10,
% 254.39/64.43 | | | | | | | | | | n8, simplifying with (1900), (1902) gives:
% 254.39/64.43 | | | | | | | | | | (1905) all_4_41 = all_4_42
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n10,
% 254.39/64.43 | | | | | | | | | | n8, simplifying with (1901), (1902) gives:
% 254.39/64.43 | | | | | | | | | | (1906) all_4_40 = all_4_41
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n10,
% 254.39/64.43 | | | | | | | | | | n8, simplifying with (1901), (1903) gives:
% 254.39/64.43 | | | | | | | | | | (1907) all_4_40 = all_4_45
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1906), (1907) imply:
% 254.39/64.43 | | | | | | | | | | (1908) all_4_41 = all_4_45
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1908) implies:
% 254.39/64.43 | | | | | | | | | | (1909) all_4_41 = all_4_45
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1904), (1905) imply:
% 254.39/64.43 | | | | | | | | | | (1910) all_4_42 = n7
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1905), (1909) imply:
% 254.39/64.43 | | | | | | | | | | (1911) all_4_42 = all_4_45
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1910), (1911) imply:
% 254.39/64.43 | | | | | | | | | | (1912) all_4_45 = n7
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1912) implies:
% 254.39/64.43 | | | | | | | | | | (1913) all_4_45 = n7
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1907), (1913) imply:
% 254.39/64.43 | | | | | | | | | | (1914) all_4_40 = n7
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (156), (1904), (1914) imply:
% 254.39/64.43 | | | | | | | | | | (1915) sum(n7, n7) = all_4_90
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (153), (1910), (1913) imply:
% 254.39/64.43 | | | | | | | | | | (1916) sum(n7, n7) = all_4_91
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_90, n7, n7,
% 254.39/64.43 | | | | | | | | | | simplifying with (90), (1915) gives:
% 254.39/64.43 | | | | | | | | | | (1917) all_4_90 = n3
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n7, n7,
% 254.39/64.43 | | | | | | | | | | simplifying with (1915), (1916) gives:
% 254.39/64.43 | | | | | | | | | | (1918) all_4_90 = all_4_91
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1917), (1918) imply:
% 254.39/64.43 | | | | | | | | | | (1919) all_4_91 = n3
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1919) implies:
% 254.39/64.43 | | | | | | | | | | (1920) all_4_91 = n3
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (240), (1917) imply:
% 254.39/64.43 | | | | | | | | | | (1921) pred(n3) = all_4_36
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (239), (1920) imply:
% 254.39/64.43 | | | | | | | | | | (1922) pred(n3) = all_4_39
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (209), (1917) imply:
% 254.39/64.43 | | | | | | | | | | (1923) succ(n3) = all_4_38
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (208), (1920) imply:
% 254.39/64.43 | | | | | | | | | | (1924) succ(n3) = all_4_35
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_35, n3,
% 254.39/64.43 | | | | | | | | | | simplifying with (190), (1924) gives:
% 254.39/64.43 | | | | | | | | | | (1925) all_4_35 = n4
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n3,
% 254.39/64.43 | | | | | | | | | | simplifying with (1923), (1924) gives:
% 254.39/64.43 | | | | | | | | | | (1926) all_4_35 = all_4_38
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_36, n3,
% 254.39/64.43 | | | | | | | | | | simplifying with (221), (1921) gives:
% 254.39/64.43 | | | | | | | | | | (1927) all_4_36 = n2
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n3,
% 254.39/64.43 | | | | | | | | | | simplifying with (1921), (1922) gives:
% 254.39/64.43 | | | | | | | | | | (1928) all_4_36 = all_4_39
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1925), (1926) imply:
% 254.39/64.43 | | | | | | | | | | (1929) all_4_38 = n4
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1927), (1928) imply:
% 254.39/64.43 | | | | | | | | | | (1930) all_4_39 = n2
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (161), (1925), (1927) imply:
% 254.39/64.43 | | | | | | | | | | (1931) sum(n2, n4) = all_4_34
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (160), (1927), (1929) imply:
% 254.39/64.43 | | | | | | | | | | (1932) sum(n2, n4) = all_4_32
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (158), (1925), (1930) imply:
% 254.39/64.43 | | | | | | | | | | (1933) sum(n2, n4) = all_4_33
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (157), (1929), (1930) imply:
% 254.39/64.43 | | | | | | | | | | (1934) sum(n2, n4) = all_4_37
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_33, n4, n2,
% 254.39/64.43 | | | | | | | | | | simplifying with (32), (1933) gives:
% 254.39/64.43 | | | | | | | | | | (1935) all_4_33 = n6
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n4, n2,
% 254.39/64.43 | | | | | | | | | | simplifying with (1931), (1933) gives:
% 254.39/64.43 | | | | | | | | | | (1936) all_4_33 = all_4_34
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n4, n2,
% 254.39/64.43 | | | | | | | | | | simplifying with (1932), (1933) gives:
% 254.39/64.43 | | | | | | | | | | (1937) all_4_32 = all_4_33
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n4, n2,
% 254.39/64.43 | | | | | | | | | | simplifying with (1932), (1934) gives:
% 254.39/64.43 | | | | | | | | | | (1938) all_4_32 = all_4_37
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1937), (1938) imply:
% 254.39/64.43 | | | | | | | | | | (1939) all_4_33 = all_4_37
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | SIMP: (1939) implies:
% 254.39/64.43 | | | | | | | | | | (1940) all_4_33 = all_4_37
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1935), (1936) imply:
% 254.39/64.43 | | | | | | | | | | (1941) all_4_34 = n6
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1936), (1940) imply:
% 254.39/64.43 | | | | | | | | | | (1942) all_4_34 = all_4_37
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1941), (1942) imply:
% 254.39/64.43 | | | | | | | | | | (1943) all_4_37 = n6
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | COMBINE_EQS: (1938), (1943) imply:
% 254.39/64.43 | | | | | | | | | | (1944) all_4_32 = n6
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (162), (1935), (1944) imply:
% 254.39/64.43 | | | | | | | | | | (1945) sum(n6, n6) = all_4_88
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | REDUCE: (159), (1941), (1943) imply:
% 254.39/64.43 | | | | | | | | | | (1946) sum(n6, n6) = all_4_89
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_88, n6, n6,
% 254.39/64.43 | | | | | | | | | | simplifying with (78), (1945) gives:
% 254.39/64.43 | | | | | | | | | | (1947) all_4_88 = n1
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.43 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n6, n6,
% 254.39/64.43 | | | | | | | | | | simplifying with (1945), (1946) gives:
% 254.39/64.43 | | | | | | | | | | (1948) all_4_88 = all_4_89
% 254.39/64.43 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | COMBINE_EQS: (1947), (1948) imply:
% 254.39/64.44 | | | | | | | | | | (1949) all_4_89 = n1
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | REDUCE: (242), (1947) imply:
% 254.39/64.44 | | | | | | | | | | (1950) pred(n1) = all_4_28
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | REDUCE: (241), (1949) imply:
% 254.39/64.44 | | | | | | | | | | (1951) pred(n1) = all_4_31
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | REDUCE: (211), (1947) imply:
% 254.39/64.44 | | | | | | | | | | (1952) succ(n1) = all_4_30
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | REDUCE: (210), (1949) imply:
% 254.39/64.44 | | | | | | | | | | (1953) succ(n1) = all_4_27
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_27, n1,
% 254.39/64.44 | | | | | | | | | | simplifying with (188), (1953) gives:
% 254.39/64.44 | | | | | | | | | | (1954) all_4_27 = n2
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (163), (164), (165),
% 254.39/64.44 | | | | | | | | | | (166), (167), (168), (219), (1784), (1950),
% 254.39/64.44 | | | | | | | | | | (1951), (1952), (1953), (1954) are inconsistent by
% 254.39/64.44 | | | | | | | | | | sub-proof #156.
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | Case 2:
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | (1955) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 254.39/64.44 | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.39/64.44 | | | | | | | | | | all_4_100 = n0
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | BETA: splitting (1955) gives:
% 254.39/64.44 | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | Case 1:
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | (1956) all_4_100 = n6
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (230), (1956) imply:
% 254.39/64.44 | | | | | | | | | | | (1957) pred(n6) = all_4_76
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (199), (1956) imply:
% 254.39/64.44 | | | | | | | | | | | (1958) succ(n6) = all_4_78
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 254.39/64.44 | | | | | | | | | | | simplifying with (193), (1958) gives:
% 254.39/64.44 | | | | | | | | | | | (1959) all_4_78 = n7
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 254.39/64.44 | | | | | | | | | | | simplifying with (224), (1957) gives:
% 254.39/64.44 | | | | | | | | | | | (1960) all_4_76 = n5
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (130), (1959), (1960) imply:
% 254.39/64.44 | | | | | | | | | | | (1961) sum(n5, n7) = all_4_72
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (257), (1960) imply:
% 254.39/64.44 | | | | | | | | | | | (1962) sum(n5, n0) = all_4_74
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (259), (1959) imply:
% 254.39/64.44 | | | | | | | | | | | (1963) sum(n9, n7) = all_4_77
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n0, n5,
% 254.39/64.44 | | | | | | | | | | | simplifying with (61), (1962) gives:
% 254.39/64.44 | | | | | | | | | | | (1964) all_4_74 = n5
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 254.39/64.44 | | | | | | | | | | | simplifying with (68), (1961) gives:
% 254.39/64.44 | | | | | | | | | | | (1965) all_4_72 = n1
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n7, n9,
% 254.39/64.44 | | | | | | | | | | | simplifying with (112), (1963) gives:
% 254.39/64.44 | | | | | | | | | | | (1966) all_4_77 = n5
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (129), (1964), (1966) imply:
% 254.39/64.44 | | | | | | | | | | | (1967) sum(n5, n5) = all_4_99
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REDUCE: (261), (1965) imply:
% 254.39/64.44 | | | | | | | | | | | (1968) sum(n9, n1) = all_4_98
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 254.39/64.44 | | | | | | | | | | | simplifying with (66), (1967) gives:
% 254.39/64.44 | | | | | | | | | | | (1969) all_4_99 = n10
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n1, n9,
% 254.39/64.44 | | | | | | | | | | | simplifying with (106), (1968) gives:
% 254.39/64.44 | | | | | | | | | | | (1970) all_4_98 = n10
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 254.39/64.44 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.39/64.44 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.44 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.44 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.44 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.44 | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 254.39/64.44 | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 254.39/64.44 | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 254.39/64.44 | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 254.39/64.44 | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.44 | | | | | | | | | | | (240), (241), (242), (1784), (1967), (1969),
% 254.39/64.44 | | | | | | | | | | | (1970) are inconsistent by sub-proof #154.
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | Case 2:
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | (1971) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 254.39/64.44 | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | BETA: splitting (1971) gives:
% 254.39/64.44 | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | Case 1:
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | (1972) all_4_100 = n5
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (230), (1972) imply:
% 254.39/64.44 | | | | | | | | | | | | (1973) pred(n5) = all_4_76
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (199), (1972) imply:
% 254.39/64.44 | | | | | | | | | | | | (1974) succ(n5) = all_4_78
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (192), (1974) gives:
% 254.39/64.44 | | | | | | | | | | | | (1975) all_4_78 = n6
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (223), (1973) gives:
% 254.39/64.44 | | | | | | | | | | | | (1976) all_4_76 = n4
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (130), (1975), (1976) imply:
% 254.39/64.44 | | | | | | | | | | | | (1977) sum(n4, n6) = all_4_72
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (257), (1976) imply:
% 254.39/64.44 | | | | | | | | | | | | (1978) sum(n4, n0) = all_4_74
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (259), (1975) imply:
% 254.39/64.44 | | | | | | | | | | | | (1979) sum(n9, n6) = all_4_77
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (50), (1978) gives:
% 254.39/64.44 | | | | | | | | | | | | (1980) all_4_74 = n4
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (56), (1977) gives:
% 254.39/64.44 | | | | | | | | | | | | (1981) all_4_72 = n10
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (111), (1979) gives:
% 254.39/64.44 | | | | | | | | | | | | (1982) all_4_77 = n4
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (129), (1980), (1982) imply:
% 254.39/64.44 | | | | | | | | | | | | (1983) sum(n4, n4) = all_4_99
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REDUCE: (261), (1981) imply:
% 254.39/64.44 | | | | | | | | | | | | (1984) sum(n9, n10) = all_4_98
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (54), (1983) gives:
% 254.39/64.44 | | | | | | | | | | | | (1985) all_4_99 = n8
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 254.39/64.44 | | | | | | | | | | | | simplifying with (115), (1984) gives:
% 254.39/64.44 | | | | | | | | | | | | (1986) all_4_98 = n8
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 254.39/64.44 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.39/64.44 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.44 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.44 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.44 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.44 | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 254.39/64.44 | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 254.39/64.44 | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 254.39/64.44 | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 254.39/64.44 | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.44 | | | | | | | | | | | | (240), (241), (242), (1784), (1983), (1985),
% 254.39/64.44 | | | | | | | | | | | | (1986) are inconsistent by sub-proof #152.
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | Case 2:
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | (1987) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.39/64.44 | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | BETA: splitting (1987) gives:
% 254.39/64.44 | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | Case 1:
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | (1988) all_4_100 = n4
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (230), (1988) imply:
% 254.39/64.44 | | | | | | | | | | | | | (1989) pred(n4) = all_4_76
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (199), (1988) imply:
% 254.39/64.44 | | | | | | | | | | | | | (1990) succ(n4) = all_4_78
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (191), (1990) gives:
% 254.39/64.44 | | | | | | | | | | | | | (1991) all_4_78 = n5
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (222), (1989) gives:
% 254.39/64.44 | | | | | | | | | | | | | (1992) all_4_76 = n3
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (130), (1991), (1992) imply:
% 254.39/64.44 | | | | | | | | | | | | | (1993) sum(n3, n5) = all_4_72
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (257), (1992) imply:
% 254.39/64.44 | | | | | | | | | | | | | (1994) sum(n3, n0) = all_4_74
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (259), (1991) imply:
% 254.39/64.44 | | | | | | | | | | | | | (1995) sum(n9, n5) = all_4_77
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (39), (1994) gives:
% 254.39/64.44 | | | | | | | | | | | | | (1996) all_4_74 = n3
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (44), (1993) gives:
% 254.39/64.44 | | | | | | | | | | | | | (1997) all_4_72 = n8
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (110), (1995) gives:
% 254.39/64.44 | | | | | | | | | | | | | (1998) all_4_77 = n3
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (129), (1996), (1998) imply:
% 254.39/64.44 | | | | | | | | | | | | | (1999) sum(n3, n3) = all_4_99
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REDUCE: (261), (1997) imply:
% 254.39/64.44 | | | | | | | | | | | | | (2000) sum(n9, n8) = all_4_98
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (42), (1999) gives:
% 254.39/64.44 | | | | | | | | | | | | | (2001) all_4_99 = n6
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 254.39/64.44 | | | | | | | | | | | | | simplifying with (113), (2000) gives:
% 254.39/64.44 | | | | | | | | | | | | | (2002) all_4_98 = n6
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 254.39/64.44 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.39/64.44 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.44 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.44 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.44 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.44 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 254.39/64.44 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 254.39/64.44 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 254.39/64.44 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 254.39/64.44 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.44 | | | | | | | | | | | | | (240), (241), (242), (1784), (1999), (2001),
% 254.39/64.44 | | | | | | | | | | | | | (2002) are inconsistent by sub-proof #151.
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | Case 2:
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | (2003) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.39/64.44 | | | | | | | | | | | | | all_4_100 = n0
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | BETA: splitting (2003) gives:
% 254.39/64.44 | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | Case 1:
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | (2004) all_4_100 = n3
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | REDUCE: (230), (2004) imply:
% 254.39/64.44 | | | | | | | | | | | | | | (2005) pred(n3) = all_4_76
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | REDUCE: (199), (2004) imply:
% 254.39/64.44 | | | | | | | | | | | | | | (2006) succ(n3) = all_4_78
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 254.39/64.44 | | | | | | | | | | | | | | simplifying with (190), (2006) gives:
% 254.39/64.44 | | | | | | | | | | | | | | (2007) all_4_78 = n4
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 254.39/64.44 | | | | | | | | | | | | | | simplifying with (221), (2005) gives:
% 254.39/64.44 | | | | | | | | | | | | | | (2008) all_4_76 = n2
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | REDUCE: (130), (2007), (2008) imply:
% 254.39/64.44 | | | | | | | | | | | | | | (2009) sum(n2, n4) = all_4_72
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | REDUCE: (257), (2008) imply:
% 254.39/64.44 | | | | | | | | | | | | | | (2010) sum(n2, n0) = all_4_74
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.44 | | | | | | | | | | | | | | REDUCE: (259), (2007) imply:
% 254.39/64.44 | | | | | | | | | | | | | | (2011) sum(n9, n4) = all_4_77
% 254.39/64.44 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 254.39/64.45 | | | | | | | | | | | | | | simplifying with (28), (2010) gives:
% 254.39/64.45 | | | | | | | | | | | | | | (2012) all_4_74 = n2
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 254.39/64.45 | | | | | | | | | | | | | | simplifying with (32), (2009) gives:
% 254.39/64.45 | | | | | | | | | | | | | | (2013) all_4_72 = n6
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 254.39/64.45 | | | | | | | | | | | | | | simplifying with (109), (2011) gives:
% 254.39/64.45 | | | | | | | | | | | | | | (2014) all_4_77 = n2
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | REDUCE: (129), (2012), (2014) imply:
% 254.39/64.45 | | | | | | | | | | | | | | (2015) sum(n2, n2) = all_4_99
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | REDUCE: (261), (2013) imply:
% 254.39/64.45 | | | | | | | | | | | | | | (2016) sum(n9, n6) = all_4_98
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 254.39/64.45 | | | | | | | | | | | | | | simplifying with (30), (2015) gives:
% 254.39/64.45 | | | | | | | | | | | | | | (2017) all_4_99 = n4
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 254.39/64.45 | | | | | | | | | | | | | | simplifying with (111), (2016) gives:
% 254.39/64.45 | | | | | | | | | | | | | | (2018) all_4_98 = n4
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 254.39/64.45 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 254.39/64.45 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.45 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.45 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.45 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.45 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 254.39/64.45 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 254.39/64.45 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 254.39/64.45 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 254.39/64.45 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.45 | | | | | | | | | | | | | | (240), (241), (242), (1784), (2015), (2017),
% 254.39/64.45 | | | | | | | | | | | | | | (2018) are inconsistent by sub-proof #150.
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | Case 2:
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | (2019) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | BETA: splitting (2019) gives:
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | Case 1:
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | (2020) all_4_100 = n2
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (230), (2020) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2021) pred(n2) = all_4_76
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (199), (2020) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2022) succ(n2) = all_4_78
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (189), (2022) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2023) all_4_78 = n3
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (220), (2021) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2024) all_4_76 = n1
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (130), (2023), (2024) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2025) sum(n1, n3) = all_4_72
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (257), (2024) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2026) sum(n1, n0) = all_4_74
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (259), (2023) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2027) sum(n9, n3) = all_4_77
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (17), (2026) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2028) all_4_74 = n1
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (20), (2025) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2029) all_4_72 = n4
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (108), (2027) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2030) all_4_77 = n1
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (129), (2028), (2030) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2031) sum(n1, n1) = all_4_99
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REDUCE: (261), (2029) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | (2032) sum(n9, n4) = all_4_98
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (18), (2031) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2033) all_4_99 = n2
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 254.39/64.45 | | | | | | | | | | | | | | | simplifying with (109), (2032) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | (2034) all_4_98 = n2
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 254.39/64.45 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.39/64.45 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.45 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.45 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.45 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.45 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 254.39/64.45 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 254.39/64.45 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 254.39/64.45 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 254.39/64.45 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.45 | | | | | | | | | | | | | | | (240), (241), (242), (1784), (2031), (2033),
% 254.39/64.45 | | | | | | | | | | | | | | | (2034) are inconsistent by sub-proof #149.
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | Case 2:
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | (2035) all_4_100 = n1 | all_4_100 = n0
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | BETA: splitting (2035) gives:
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | Case 1:
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | (2036) all_4_100 = n1
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (230), (2036) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2037) pred(n1) = all_4_76
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (199), (2036) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2038) succ(n1) = all_4_78
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (188), (2038) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2039) all_4_78 = n2
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (219), (2037) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2040) all_4_76 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (130), (2039), (2040) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2041) sum(n0, n2) = all_4_72
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (257), (2040) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2042) sum(n0, n0) = all_4_74
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (259), (2039) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2043) sum(n9, n2) = all_4_77
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (6), (2042) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2044) all_4_74 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (8), (2041) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2045) all_4_72 = n2
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (107), (2043) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2046) all_4_77 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (129), (2044), (2046) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2047) sum(n0, n0) = all_4_99
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (261), (2045) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2048) sum(n9, n2) = all_4_98
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (6), (2047) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2049) all_4_99 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (107), (2048) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2050) all_4_98 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 254.39/64.45 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.45 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.45 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.45 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.45 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 254.39/64.45 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 254.39/64.45 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 254.39/64.45 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 254.39/64.45 | | | | | | | | | | | | | | | | (241), (242), (1784), (2047), (2049), (2050) are
% 254.39/64.45 | | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | Case 2:
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | (2051) all_4_100 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (230), (2051) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2052) pred(n0) = all_4_76
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (199), (2051) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2053) succ(n0) = all_4_78
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (187), (2053) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2054) all_4_78 = n1
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (218), (2052) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2055) all_4_76 = n10
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (130), (2054), (2055) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2056) sum(n10, n1) = all_4_72
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (257), (2055) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2057) sum(n10, n0) = all_4_74
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (259), (2054) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2058) sum(n9, n1) = all_4_77
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (106), (2058) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2059) all_4_77 = n10
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (116), (2057) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2060) all_4_74 = n10
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (117), (2056) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2061) all_4_72 = n0
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (129), (2059), (2060) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2062) sum(n10, n10) = all_4_99
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REDUCE: (261), (2061) imply:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2063) sum(n9, n0) = all_4_98
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (105), (2063) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2064) all_4_98 = n9
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 254.39/64.45 | | | | | | | | | | | | | | | | simplifying with (126), (2062) gives:
% 254.39/64.45 | | | | | | | | | | | | | | | | (2065) all_4_99 = n9
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 254.39/64.45 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 254.39/64.45 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.39/64.45 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.39/64.45 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.39/64.45 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 254.39/64.45 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 254.39/64.45 | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 254.39/64.45 | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 254.39/64.45 | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 254.39/64.45 | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 254.39/64.45 | | | | | | | | | | | | | | | | (240), (241), (242), (1784), (2062), (2064),
% 254.39/64.45 | | | | | | | | | | | | | | | | (2065) are inconsistent by sub-proof #146.
% 254.39/64.45 | | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | End of split
% 254.39/64.45 | | | | | | | | |
% 254.39/64.45 | | | | | | | | Case 2:
% 254.39/64.45 | | | | | | | | |
% 254.39/64.45 | | | | | | | | | (2066) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91)
% 254.39/64.45 | | | | | | | | | | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 254.39/64.45 | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 254.39/64.45 | | | | | | | | | (all_4_98 = all_4_99)
% 254.39/64.45 | | | | | | | | |
% 254.39/64.45 | | | | | | | | | BETA: splitting (1783) gives:
% 254.39/64.45 | | | | | | | | |
% 254.39/64.45 | | | | | | | | | Case 1:
% 254.39/64.45 | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | (2067) all_4_100 = n7
% 254.39/64.45 | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | REDUCE: (230), (2067) imply:
% 254.39/64.45 | | | | | | | | | | (2068) pred(n7) = all_4_76
% 254.39/64.45 | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | REDUCE: (199), (2067) imply:
% 254.39/64.45 | | | | | | | | | | (2069) succ(n7) = all_4_78
% 254.39/64.45 | | | | | | | | | |
% 254.39/64.45 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 254.39/64.46 | | | | | | | | | | simplifying with (194), (2069) gives:
% 254.39/64.46 | | | | | | | | | | (2070) all_4_78 = n8
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 254.39/64.46 | | | | | | | | | | simplifying with (225), (2068) gives:
% 254.39/64.46 | | | | | | | | | | (2071) all_4_76 = n6
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (130), (2070), (2071) imply:
% 254.39/64.46 | | | | | | | | | | (2072) sum(n6, n8) = all_4_72
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (257), (2071) imply:
% 254.39/64.46 | | | | | | | | | | (2073) sum(n6, n0) = all_4_74
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (259), (2070) imply:
% 254.39/64.46 | | | | | | | | | | (2074) sum(n9, n8) = all_4_77
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n0, n6,
% 254.39/64.46 | | | | | | | | | | simplifying with (72), (2073) gives:
% 254.39/64.46 | | | | | | | | | | (2075) all_4_74 = n6
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 254.39/64.46 | | | | | | | | | | simplifying with (80), (2072) gives:
% 254.39/64.46 | | | | | | | | | | (2076) all_4_72 = n3
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n8, n9,
% 254.39/64.46 | | | | | | | | | | simplifying with (113), (2074) gives:
% 254.39/64.46 | | | | | | | | | | (2077) all_4_77 = n6
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (129), (2075), (2077) imply:
% 254.39/64.46 | | | | | | | | | | (2078) sum(n6, n6) = all_4_99
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (261), (2076) imply:
% 254.39/64.46 | | | | | | | | | | (2079) sum(n9, n3) = all_4_98
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 254.39/64.46 | | | | | | | | | | simplifying with (78), (2078) gives:
% 254.39/64.46 | | | | | | | | | | (2080) all_4_99 = n1
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n3, n9,
% 254.39/64.46 | | | | | | | | | | simplifying with (108), (2079) gives:
% 254.39/64.46 | | | | | | | | | | (2081) all_4_98 = n1
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (232), (2081) imply:
% 254.39/64.46 | | | | | | | | | | (2082) pred(n1) = all_4_68
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (231), (2080) imply:
% 254.39/64.46 | | | | | | | | | | (2083) pred(n1) = all_4_71
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (201), (2081) imply:
% 254.39/64.46 | | | | | | | | | | (2084) succ(n1) = all_4_70
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (200), (2080) imply:
% 254.39/64.46 | | | | | | | | | | (2085) succ(n1) = all_4_67
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_67, n1,
% 254.39/64.46 | | | | | | | | | | simplifying with (188), (2085) gives:
% 254.39/64.46 | | | | | | | | | | (2086) all_4_67 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n1,
% 254.39/64.46 | | | | | | | | | | simplifying with (2084), (2085) gives:
% 254.39/64.46 | | | | | | | | | | (2087) all_4_67 = all_4_70
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_68, n1,
% 254.39/64.46 | | | | | | | | | | simplifying with (219), (2082) gives:
% 254.39/64.46 | | | | | | | | | | (2088) all_4_68 = n0
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n1,
% 254.39/64.46 | | | | | | | | | | simplifying with (2082), (2083) gives:
% 254.39/64.46 | | | | | | | | | | (2089) all_4_68 = all_4_71
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2086), (2087) imply:
% 254.39/64.46 | | | | | | | | | | (2090) all_4_70 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2090) implies:
% 254.39/64.46 | | | | | | | | | | (2091) all_4_70 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2088), (2089) imply:
% 254.39/64.46 | | | | | | | | | | (2092) all_4_71 = n0
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (137), (2086), (2088) imply:
% 254.39/64.46 | | | | | | | | | | (2093) sum(n0, n2) = all_4_66
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (136), (2088), (2091) imply:
% 254.39/64.46 | | | | | | | | | | (2094) sum(n0, n2) = all_4_64
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (134), (2086), (2092) imply:
% 254.39/64.46 | | | | | | | | | | (2095) sum(n0, n2) = all_4_65
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (133), (2091), (2092) imply:
% 254.39/64.46 | | | | | | | | | | (2096) sum(n0, n2) = all_4_69
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_65, n2, n0,
% 254.39/64.46 | | | | | | | | | | simplifying with (8), (2095) gives:
% 254.39/64.46 | | | | | | | | | | (2097) all_4_65 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n2, n0,
% 254.39/64.46 | | | | | | | | | | simplifying with (2093), (2095) gives:
% 254.39/64.46 | | | | | | | | | | (2098) all_4_65 = all_4_66
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n2, n0,
% 254.39/64.46 | | | | | | | | | | simplifying with (2093), (2094) gives:
% 254.39/64.46 | | | | | | | | | | (2099) all_4_64 = all_4_66
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n2, n0,
% 254.39/64.46 | | | | | | | | | | simplifying with (2094), (2096) gives:
% 254.39/64.46 | | | | | | | | | | (2100) all_4_64 = all_4_69
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2099), (2100) imply:
% 254.39/64.46 | | | | | | | | | | (2101) all_4_66 = all_4_69
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2101) implies:
% 254.39/64.46 | | | | | | | | | | (2102) all_4_66 = all_4_69
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2097), (2098) imply:
% 254.39/64.46 | | | | | | | | | | (2103) all_4_66 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2103) implies:
% 254.39/64.46 | | | | | | | | | | (2104) all_4_66 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2102), (2104) imply:
% 254.39/64.46 | | | | | | | | | | (2105) all_4_69 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2100), (2105) imply:
% 254.39/64.46 | | | | | | | | | | (2106) all_4_64 = n2
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (138), (2097), (2106) imply:
% 254.39/64.46 | | | | | | | | | | (2107) sum(n2, n2) = all_4_96
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (135), (2104), (2105) imply:
% 254.39/64.46 | | | | | | | | | | (2108) sum(n2, n2) = all_4_97
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_96, n2, n2,
% 254.39/64.46 | | | | | | | | | | simplifying with (30), (2107) gives:
% 254.39/64.46 | | | | | | | | | | (2109) all_4_96 = n4
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n2, n2,
% 254.39/64.46 | | | | | | | | | | simplifying with (2107), (2108) gives:
% 254.39/64.46 | | | | | | | | | | (2110) all_4_96 = all_4_97
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2109), (2110) imply:
% 254.39/64.46 | | | | | | | | | | (2111) all_4_97 = n4
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (234), (2109) imply:
% 254.39/64.46 | | | | | | | | | | (2112) pred(n4) = all_4_60
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (233), (2111) imply:
% 254.39/64.46 | | | | | | | | | | (2113) pred(n4) = all_4_63
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (203), (2109) imply:
% 254.39/64.46 | | | | | | | | | | (2114) succ(n4) = all_4_62
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (202), (2111) imply:
% 254.39/64.46 | | | | | | | | | | (2115) succ(n4) = all_4_59
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_59, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (191), (2115) gives:
% 254.39/64.46 | | | | | | | | | | (2116) all_4_59 = n5
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (2114), (2115) gives:
% 254.39/64.46 | | | | | | | | | | (2117) all_4_59 = all_4_62
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_60, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (222), (2112) gives:
% 254.39/64.46 | | | | | | | | | | (2118) all_4_60 = n3
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (2112), (2113) gives:
% 254.39/64.46 | | | | | | | | | | (2119) all_4_60 = all_4_63
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2116), (2117) imply:
% 254.39/64.46 | | | | | | | | | | (2120) all_4_62 = n5
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2120) implies:
% 254.39/64.46 | | | | | | | | | | (2121) all_4_62 = n5
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2118), (2119) imply:
% 254.39/64.46 | | | | | | | | | | (2122) all_4_63 = n3
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (143), (2116), (2118) imply:
% 254.39/64.46 | | | | | | | | | | (2123) sum(n3, n5) = all_4_58
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (142), (2118), (2121) imply:
% 254.39/64.46 | | | | | | | | | | (2124) sum(n3, n5) = all_4_56
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (140), (2116), (2122) imply:
% 254.39/64.46 | | | | | | | | | | (2125) sum(n3, n5) = all_4_57
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (139), (2121), (2122) imply:
% 254.39/64.46 | | | | | | | | | | (2126) sum(n3, n5) = all_4_61
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_58, n5, n3,
% 254.39/64.46 | | | | | | | | | | simplifying with (44), (2123) gives:
% 254.39/64.46 | | | | | | | | | | (2127) all_4_58 = n8
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n5, n3,
% 254.39/64.46 | | | | | | | | | | simplifying with (2123), (2125) gives:
% 254.39/64.46 | | | | | | | | | | (2128) all_4_57 = all_4_58
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n5, n3,
% 254.39/64.46 | | | | | | | | | | simplifying with (2124), (2125) gives:
% 254.39/64.46 | | | | | | | | | | (2129) all_4_56 = all_4_57
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n5, n3,
% 254.39/64.46 | | | | | | | | | | simplifying with (2124), (2126) gives:
% 254.39/64.46 | | | | | | | | | | (2130) all_4_56 = all_4_61
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2129), (2130) imply:
% 254.39/64.46 | | | | | | | | | | (2131) all_4_57 = all_4_61
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2131) implies:
% 254.39/64.46 | | | | | | | | | | (2132) all_4_57 = all_4_61
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2128), (2132) imply:
% 254.39/64.46 | | | | | | | | | | (2133) all_4_58 = all_4_61
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2133) implies:
% 254.39/64.46 | | | | | | | | | | (2134) all_4_58 = all_4_61
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2127), (2134) imply:
% 254.39/64.46 | | | | | | | | | | (2135) all_4_61 = n8
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2132), (2135) imply:
% 254.39/64.46 | | | | | | | | | | (2136) all_4_57 = n8
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2130), (2135) imply:
% 254.39/64.46 | | | | | | | | | | (2137) all_4_56 = n8
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (144), (2136), (2137) imply:
% 254.39/64.46 | | | | | | | | | | (2138) sum(n8, n8) = all_4_94
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (141), (2127), (2135) imply:
% 254.39/64.46 | | | | | | | | | | (2139) sum(n8, n8) = all_4_95
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_94, n8, n8,
% 254.39/64.46 | | | | | | | | | | simplifying with (102), (2138) gives:
% 254.39/64.46 | | | | | | | | | | (2140) all_4_94 = n5
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n8, n8,
% 254.39/64.46 | | | | | | | | | | simplifying with (2138), (2139) gives:
% 254.39/64.46 | | | | | | | | | | (2141) all_4_94 = all_4_95
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2140), (2141) imply:
% 254.39/64.46 | | | | | | | | | | (2142) all_4_95 = n5
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (236), (2140) imply:
% 254.39/64.46 | | | | | | | | | | (2143) pred(n5) = all_4_52
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (235), (2142) imply:
% 254.39/64.46 | | | | | | | | | | (2144) pred(n5) = all_4_55
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (205), (2140) imply:
% 254.39/64.46 | | | | | | | | | | (2145) succ(n5) = all_4_54
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (204), (2142) imply:
% 254.39/64.46 | | | | | | | | | | (2146) succ(n5) = all_4_51
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_51, n5,
% 254.39/64.46 | | | | | | | | | | simplifying with (192), (2146) gives:
% 254.39/64.46 | | | | | | | | | | (2147) all_4_51 = n6
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n5,
% 254.39/64.46 | | | | | | | | | | simplifying with (2145), (2146) gives:
% 254.39/64.46 | | | | | | | | | | (2148) all_4_51 = all_4_54
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_52, n5,
% 254.39/64.46 | | | | | | | | | | simplifying with (223), (2143) gives:
% 254.39/64.46 | | | | | | | | | | (2149) all_4_52 = n4
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n5,
% 254.39/64.46 | | | | | | | | | | simplifying with (2143), (2144) gives:
% 254.39/64.46 | | | | | | | | | | (2150) all_4_52 = all_4_55
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2147), (2148) imply:
% 254.39/64.46 | | | | | | | | | | (2151) all_4_54 = n6
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2151) implies:
% 254.39/64.46 | | | | | | | | | | (2152) all_4_54 = n6
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2149), (2150) imply:
% 254.39/64.46 | | | | | | | | | | (2153) all_4_55 = n4
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (149), (2147), (2149) imply:
% 254.39/64.46 | | | | | | | | | | (2154) sum(n4, n6) = all_4_50
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (148), (2149), (2152) imply:
% 254.39/64.46 | | | | | | | | | | (2155) sum(n4, n6) = all_4_48
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (146), (2147), (2153) imply:
% 254.39/64.46 | | | | | | | | | | (2156) sum(n4, n6) = all_4_49
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (145), (2152), (2153) imply:
% 254.39/64.46 | | | | | | | | | | (2157) sum(n4, n6) = all_4_53
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_50, n6, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (56), (2154) gives:
% 254.39/64.46 | | | | | | | | | | (2158) all_4_50 = n10
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n6, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (2154), (2156) gives:
% 254.39/64.46 | | | | | | | | | | (2159) all_4_49 = all_4_50
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n6, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (2155), (2156) gives:
% 254.39/64.46 | | | | | | | | | | (2160) all_4_48 = all_4_49
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n6, n4,
% 254.39/64.46 | | | | | | | | | | simplifying with (2155), (2157) gives:
% 254.39/64.46 | | | | | | | | | | (2161) all_4_48 = all_4_53
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2160), (2161) imply:
% 254.39/64.46 | | | | | | | | | | (2162) all_4_49 = all_4_53
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2162) implies:
% 254.39/64.46 | | | | | | | | | | (2163) all_4_49 = all_4_53
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2159), (2163) imply:
% 254.39/64.46 | | | | | | | | | | (2164) all_4_50 = all_4_53
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2164) implies:
% 254.39/64.46 | | | | | | | | | | (2165) all_4_50 = all_4_53
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2158), (2165) imply:
% 254.39/64.46 | | | | | | | | | | (2166) all_4_53 = n10
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2163), (2166) imply:
% 254.39/64.46 | | | | | | | | | | (2167) all_4_49 = n10
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2161), (2166) imply:
% 254.39/64.46 | | | | | | | | | | (2168) all_4_48 = n10
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (150), (2167), (2168) imply:
% 254.39/64.46 | | | | | | | | | | (2169) sum(n10, n10) = all_4_92
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (147), (2158), (2166) imply:
% 254.39/64.46 | | | | | | | | | | (2170) sum(n10, n10) = all_4_93
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_92, n10, n10,
% 254.39/64.46 | | | | | | | | | | simplifying with (126), (2169) gives:
% 254.39/64.46 | | | | | | | | | | (2171) all_4_92 = n9
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n10,
% 254.39/64.46 | | | | | | | | | | n10, simplifying with (2169), (2170) gives:
% 254.39/64.46 | | | | | | | | | | (2172) all_4_92 = all_4_93
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | COMBINE_EQS: (2171), (2172) imply:
% 254.39/64.46 | | | | | | | | | | (2173) all_4_93 = n9
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | SIMP: (2173) implies:
% 254.39/64.46 | | | | | | | | | | (2174) all_4_93 = n9
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (238), (2171) imply:
% 254.39/64.46 | | | | | | | | | | (2175) pred(n9) = all_4_44
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (237), (2174) imply:
% 254.39/64.46 | | | | | | | | | | (2176) pred(n9) = all_4_47
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (207), (2171) imply:
% 254.39/64.46 | | | | | | | | | | (2177) succ(n9) = all_4_46
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | REDUCE: (206), (2174) imply:
% 254.39/64.46 | | | | | | | | | | (2178) succ(n9) = all_4_43
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_43, n9,
% 254.39/64.46 | | | | | | | | | | simplifying with (196), (2178) gives:
% 254.39/64.46 | | | | | | | | | | (2179) all_4_43 = n10
% 254.39/64.46 | | | | | | | | | |
% 254.39/64.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n9,
% 254.39/64.46 | | | | | | | | | | simplifying with (2177), (2178) gives:
% 254.39/64.47 | | | | | | | | | | (2180) all_4_43 = all_4_46
% 254.39/64.47 | | | | | | | | | |
% 254.39/64.47 | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_44, n9,
% 254.69/64.47 | | | | | | | | | | simplifying with (227), (2175) gives:
% 254.69/64.47 | | | | | | | | | | (2181) all_4_44 = n8
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n9,
% 254.69/64.47 | | | | | | | | | | simplifying with (2175), (2176) gives:
% 254.69/64.47 | | | | | | | | | | (2182) all_4_44 = all_4_47
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2179), (2180) imply:
% 254.69/64.47 | | | | | | | | | | (2183) all_4_46 = n10
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | SIMP: (2183) implies:
% 254.69/64.47 | | | | | | | | | | (2184) all_4_46 = n10
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2181), (2182) imply:
% 254.69/64.47 | | | | | | | | | | (2185) all_4_47 = n8
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (155), (2179), (2181) imply:
% 254.69/64.47 | | | | | | | | | | (2186) sum(n8, n10) = all_4_42
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (154), (2181), (2184) imply:
% 254.69/64.47 | | | | | | | | | | (2187) sum(n8, n10) = all_4_40
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (152), (2179), (2185) imply:
% 254.69/64.47 | | | | | | | | | | (2188) sum(n8, n10) = all_4_41
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (151), (2184), (2185) imply:
% 254.69/64.47 | | | | | | | | | | (2189) sum(n8, n10) = all_4_45
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_42, n10, n8,
% 254.69/64.47 | | | | | | | | | | simplifying with (104), (2186) gives:
% 254.69/64.47 | | | | | | | | | | (2190) all_4_42 = n7
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n10,
% 254.69/64.47 | | | | | | | | | | n8, simplifying with (2186), (2188) gives:
% 254.69/64.47 | | | | | | | | | | (2191) all_4_41 = all_4_42
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n10,
% 254.69/64.47 | | | | | | | | | | n8, simplifying with (2187), (2188) gives:
% 254.69/64.47 | | | | | | | | | | (2192) all_4_40 = all_4_41
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n10,
% 254.69/64.47 | | | | | | | | | | n8, simplifying with (2187), (2189) gives:
% 254.69/64.47 | | | | | | | | | | (2193) all_4_40 = all_4_45
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2192), (2193) imply:
% 254.69/64.47 | | | | | | | | | | (2194) all_4_41 = all_4_45
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | SIMP: (2194) implies:
% 254.69/64.47 | | | | | | | | | | (2195) all_4_41 = all_4_45
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2191), (2195) imply:
% 254.69/64.47 | | | | | | | | | | (2196) all_4_42 = all_4_45
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | SIMP: (2196) implies:
% 254.69/64.47 | | | | | | | | | | (2197) all_4_42 = all_4_45
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2190), (2197) imply:
% 254.69/64.47 | | | | | | | | | | (2198) all_4_45 = n7
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2195), (2198) imply:
% 254.69/64.47 | | | | | | | | | | (2199) all_4_41 = n7
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2193), (2198) imply:
% 254.69/64.47 | | | | | | | | | | (2200) all_4_40 = n7
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (156), (2199), (2200) imply:
% 254.69/64.47 | | | | | | | | | | (2201) sum(n7, n7) = all_4_90
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (153), (2190), (2198) imply:
% 254.69/64.47 | | | | | | | | | | (2202) sum(n7, n7) = all_4_91
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_90, n7, n7,
% 254.69/64.47 | | | | | | | | | | simplifying with (90), (2201) gives:
% 254.69/64.47 | | | | | | | | | | (2203) all_4_90 = n3
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n7, n7,
% 254.69/64.47 | | | | | | | | | | simplifying with (2201), (2202) gives:
% 254.69/64.47 | | | | | | | | | | (2204) all_4_90 = all_4_91
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | COMBINE_EQS: (2203), (2204) imply:
% 254.69/64.47 | | | | | | | | | | (2205) all_4_91 = n3
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (240), (2203) imply:
% 254.69/64.47 | | | | | | | | | | (2206) pred(n3) = all_4_36
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (239), (2205) imply:
% 254.69/64.47 | | | | | | | | | | (2207) pred(n3) = all_4_39
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (209), (2203) imply:
% 254.69/64.47 | | | | | | | | | | (2208) succ(n3) = all_4_38
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | REDUCE: (208), (2205) imply:
% 254.69/64.47 | | | | | | | | | | (2209) succ(n3) = all_4_35
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | BETA: splitting (2066) gives:
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | Case 1:
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | (2210) ~ (all_4_88 = all_4_89)
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_35, n3,
% 254.69/64.47 | | | | | | | | | | | simplifying with (190), (2209) gives:
% 254.69/64.47 | | | | | | | | | | | (2211) all_4_35 = n4
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (157), (158), (159),
% 254.69/64.47 | | | | | | | | | | | (160), (161), (162), (221), (2206), (2207),
% 254.69/64.47 | | | | | | | | | | | (2208), (2209), (2210), (2211) are inconsistent by
% 254.69/64.47 | | | | | | | | | | | sub-proof #145.
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | Case 2:
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | (2212) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 254.69/64.47 | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 254.69/64.47 | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | REF_CLOSE: (2080), (2081), (2109), (2111), (2140), (2142),
% 254.69/64.47 | | | | | | | | | | | (2171), (2174), (2203), (2205), (2212) are
% 254.69/64.47 | | | | | | | | | | | inconsistent by sub-proof #141.
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | End of split
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | Case 2:
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | (2213) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 254.69/64.47 | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.69/64.47 | | | | | | | | | | all_4_100 = n0
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | BETA: splitting (2066) gives:
% 254.69/64.47 | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | Case 1:
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | (2214) ~ (all_4_88 = all_4_89)
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | BETA: splitting (2213) gives:
% 254.69/64.47 | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | Case 1:
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | (2215) all_4_100 = n6
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | REDUCE: (230), (2215) imply:
% 254.69/64.47 | | | | | | | | | | | | (2216) pred(n6) = all_4_76
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | REDUCE: (199), (2215) imply:
% 254.69/64.47 | | | | | | | | | | | | (2217) succ(n6) = all_4_78
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 254.69/64.47 | | | | | | | | | | | | simplifying with (193), (2217) gives:
% 254.69/64.47 | | | | | | | | | | | | (2218) all_4_78 = n7
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 254.69/64.47 | | | | | | | | | | | | simplifying with (224), (2216) gives:
% 254.69/64.47 | | | | | | | | | | | | (2219) all_4_76 = n5
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | REDUCE: (130), (2218), (2219) imply:
% 254.69/64.47 | | | | | | | | | | | | (2220) sum(n5, n7) = all_4_72
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | REDUCE: (257), (2219) imply:
% 254.69/64.47 | | | | | | | | | | | | (2221) sum(n5, n0) = all_4_74
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | REDUCE: (259), (2218) imply:
% 254.69/64.47 | | | | | | | | | | | | (2222) sum(n9, n7) = all_4_77
% 254.69/64.47 | | | | | | | | | | | |
% 254.69/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n0, n5,
% 254.69/64.47 | | | | | | | | | | | | simplifying with (61), (2221) gives:
% 254.69/64.47 | | | | | | | | | | | | (2223) all_4_74 = n5
% 254.69/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (68), (2220) gives:
% 254.72/64.47 | | | | | | | | | | | | (2224) all_4_72 = n1
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n7, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (112), (2222) gives:
% 254.72/64.47 | | | | | | | | | | | | (2225) all_4_77 = n5
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (129), (2223), (2225) imply:
% 254.72/64.47 | | | | | | | | | | | | (2226) sum(n5, n5) = all_4_99
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (261), (2224) imply:
% 254.72/64.47 | | | | | | | | | | | | (2227) sum(n9, n1) = all_4_98
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (66), (2226) gives:
% 254.72/64.47 | | | | | | | | | | | | (2228) all_4_99 = n10
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n1, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (106), (2227) gives:
% 254.72/64.47 | | | | | | | | | | | | (2229) all_4_98 = n10
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (232), (2229) imply:
% 254.72/64.47 | | | | | | | | | | | | (2230) pred(n10) = all_4_68
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (231), (2228) imply:
% 254.72/64.47 | | | | | | | | | | | | (2231) pred(n10) = all_4_71
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (201), (2229) imply:
% 254.72/64.47 | | | | | | | | | | | | (2232) succ(n10) = all_4_70
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (200), (2228) imply:
% 254.72/64.47 | | | | | | | | | | | | (2233) succ(n10) = all_4_67
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_67, n10,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (197), (2233) gives:
% 254.72/64.47 | | | | | | | | | | | | (2234) all_4_67 = n0
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n10,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2232), (2233) gives:
% 254.72/64.47 | | | | | | | | | | | | (2235) all_4_67 = all_4_70
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_68, n10,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (228), (2230) gives:
% 254.72/64.47 | | | | | | | | | | | | (2236) all_4_68 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n10,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2230), (2231) gives:
% 254.72/64.47 | | | | | | | | | | | | (2237) all_4_68 = all_4_71
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2234), (2235) imply:
% 254.72/64.47 | | | | | | | | | | | | (2238) all_4_70 = n0
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2236), (2237) imply:
% 254.72/64.47 | | | | | | | | | | | | (2239) all_4_71 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (137), (2234), (2236) imply:
% 254.72/64.47 | | | | | | | | | | | | (2240) sum(n9, n0) = all_4_66
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (136), (2236), (2238) imply:
% 254.72/64.47 | | | | | | | | | | | | (2241) sum(n9, n0) = all_4_64
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (134), (2234), (2239) imply:
% 254.72/64.47 | | | | | | | | | | | | (2242) sum(n9, n0) = all_4_65
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (133), (2238), (2239) imply:
% 254.72/64.47 | | | | | | | | | | | | (2243) sum(n9, n0) = all_4_69
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_65, n0, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (105), (2242) gives:
% 254.72/64.47 | | | | | | | | | | | | (2244) all_4_65 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n0, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2240), (2242) gives:
% 254.72/64.47 | | | | | | | | | | | | (2245) all_4_65 = all_4_66
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n0, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2240), (2241) gives:
% 254.72/64.47 | | | | | | | | | | | | (2246) all_4_64 = all_4_66
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n0, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2241), (2243) gives:
% 254.72/64.47 | | | | | | | | | | | | (2247) all_4_64 = all_4_69
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2246), (2247) imply:
% 254.72/64.47 | | | | | | | | | | | | (2248) all_4_66 = all_4_69
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | SIMP: (2248) implies:
% 254.72/64.47 | | | | | | | | | | | | (2249) all_4_66 = all_4_69
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2244), (2245) imply:
% 254.72/64.47 | | | | | | | | | | | | (2250) all_4_66 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | SIMP: (2250) implies:
% 254.72/64.47 | | | | | | | | | | | | (2251) all_4_66 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2249), (2251) imply:
% 254.72/64.47 | | | | | | | | | | | | (2252) all_4_69 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2247), (2252) imply:
% 254.72/64.47 | | | | | | | | | | | | (2253) all_4_64 = n9
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (138), (2244), (2253) imply:
% 254.72/64.47 | | | | | | | | | | | | (2254) sum(n9, n9) = all_4_96
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (135), (2251), (2252) imply:
% 254.72/64.47 | | | | | | | | | | | | (2255) sum(n9, n9) = all_4_97
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_96, n9, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (114), (2254) gives:
% 254.72/64.47 | | | | | | | | | | | | (2256) all_4_96 = n7
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n9, n9,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2254), (2255) gives:
% 254.72/64.47 | | | | | | | | | | | | (2257) all_4_96 = all_4_97
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2256), (2257) imply:
% 254.72/64.47 | | | | | | | | | | | | (2258) all_4_97 = n7
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | SIMP: (2258) implies:
% 254.72/64.47 | | | | | | | | | | | | (2259) all_4_97 = n7
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (234), (2256) imply:
% 254.72/64.47 | | | | | | | | | | | | (2260) pred(n7) = all_4_60
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (233), (2259) imply:
% 254.72/64.47 | | | | | | | | | | | | (2261) pred(n7) = all_4_63
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (203), (2256) imply:
% 254.72/64.47 | | | | | | | | | | | | (2262) succ(n7) = all_4_62
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (202), (2259) imply:
% 254.72/64.47 | | | | | | | | | | | | (2263) succ(n7) = all_4_59
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_59, n7,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (194), (2263) gives:
% 254.72/64.47 | | | | | | | | | | | | (2264) all_4_59 = n8
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n7,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2262), (2263) gives:
% 254.72/64.47 | | | | | | | | | | | | (2265) all_4_59 = all_4_62
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_60, n7,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (225), (2260) gives:
% 254.72/64.47 | | | | | | | | | | | | (2266) all_4_60 = n6
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n7,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2260), (2261) gives:
% 254.72/64.47 | | | | | | | | | | | | (2267) all_4_60 = all_4_63
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2264), (2265) imply:
% 254.72/64.47 | | | | | | | | | | | | (2268) all_4_62 = n8
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | COMBINE_EQS: (2266), (2267) imply:
% 254.72/64.47 | | | | | | | | | | | | (2269) all_4_63 = n6
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (143), (2264), (2266) imply:
% 254.72/64.47 | | | | | | | | | | | | (2270) sum(n6, n8) = all_4_58
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (142), (2266), (2268) imply:
% 254.72/64.47 | | | | | | | | | | | | (2271) sum(n6, n8) = all_4_56
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (140), (2264), (2269) imply:
% 254.72/64.47 | | | | | | | | | | | | (2272) sum(n6, n8) = all_4_57
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | REDUCE: (139), (2268), (2269) imply:
% 254.72/64.47 | | | | | | | | | | | | (2273) sum(n6, n8) = all_4_61
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_57, n8, n6,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (80), (2272) gives:
% 254.72/64.47 | | | | | | | | | | | | (2274) all_4_57 = n3
% 254.72/64.47 | | | | | | | | | | | |
% 254.72/64.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n8, n6,
% 254.72/64.47 | | | | | | | | | | | | simplifying with (2270), (2272) gives:
% 254.72/64.48 | | | | | | | | | | | | (2275) all_4_57 = all_4_58
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n8, n6,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2271), (2272) gives:
% 254.72/64.48 | | | | | | | | | | | | (2276) all_4_56 = all_4_57
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n8, n6,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2271), (2273) gives:
% 254.72/64.48 | | | | | | | | | | | | (2277) all_4_56 = all_4_61
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2276), (2277) imply:
% 254.72/64.48 | | | | | | | | | | | | (2278) all_4_57 = all_4_61
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2278) implies:
% 254.72/64.48 | | | | | | | | | | | | (2279) all_4_57 = all_4_61
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2274), (2275) imply:
% 254.72/64.48 | | | | | | | | | | | | (2280) all_4_58 = n3
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2275), (2279) imply:
% 254.72/64.48 | | | | | | | | | | | | (2281) all_4_58 = all_4_61
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2280), (2281) imply:
% 254.72/64.48 | | | | | | | | | | | | (2282) all_4_61 = n3
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2277), (2282) imply:
% 254.72/64.48 | | | | | | | | | | | | (2283) all_4_56 = n3
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (144), (2274), (2283) imply:
% 254.72/64.48 | | | | | | | | | | | | (2284) sum(n3, n3) = all_4_94
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (141), (2280), (2282) imply:
% 254.72/64.48 | | | | | | | | | | | | (2285) sum(n3, n3) = all_4_95
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_94, n3, n3,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (42), (2284) gives:
% 254.72/64.48 | | | | | | | | | | | | (2286) all_4_94 = n6
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n3, n3,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2284), (2285) gives:
% 254.72/64.48 | | | | | | | | | | | | (2287) all_4_94 = all_4_95
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2286), (2287) imply:
% 254.72/64.48 | | | | | | | | | | | | (2288) all_4_95 = n6
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (236), (2286) imply:
% 254.72/64.48 | | | | | | | | | | | | (2289) pred(n6) = all_4_52
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (235), (2288) imply:
% 254.72/64.48 | | | | | | | | | | | | (2290) pred(n6) = all_4_55
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (205), (2286) imply:
% 254.72/64.48 | | | | | | | | | | | | (2291) succ(n6) = all_4_54
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (204), (2288) imply:
% 254.72/64.48 | | | | | | | | | | | | (2292) succ(n6) = all_4_51
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_51, n6,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (193), (2292) gives:
% 254.72/64.48 | | | | | | | | | | | | (2293) all_4_51 = n7
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n6,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2291), (2292) gives:
% 254.72/64.48 | | | | | | | | | | | | (2294) all_4_51 = all_4_54
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_52, n6,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (224), (2289) gives:
% 254.72/64.48 | | | | | | | | | | | | (2295) all_4_52 = n5
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n6,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2289), (2290) gives:
% 254.72/64.48 | | | | | | | | | | | | (2296) all_4_52 = all_4_55
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2293), (2294) imply:
% 254.72/64.48 | | | | | | | | | | | | (2297) all_4_54 = n7
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2295), (2296) imply:
% 254.72/64.48 | | | | | | | | | | | | (2298) all_4_55 = n5
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2298) implies:
% 254.72/64.48 | | | | | | | | | | | | (2299) all_4_55 = n5
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (149), (2293), (2295) imply:
% 254.72/64.48 | | | | | | | | | | | | (2300) sum(n5, n7) = all_4_50
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (148), (2295), (2297) imply:
% 254.72/64.48 | | | | | | | | | | | | (2301) sum(n5, n7) = all_4_48
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (146), (2293), (2299) imply:
% 254.72/64.48 | | | | | | | | | | | | (2302) sum(n5, n7) = all_4_49
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (145), (2297), (2299) imply:
% 254.72/64.48 | | | | | | | | | | | | (2303) sum(n5, n7) = all_4_53
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_49, n7, n5,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (68), (2302) gives:
% 254.72/64.48 | | | | | | | | | | | | (2304) all_4_49 = n1
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n7, n5,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2300), (2302) gives:
% 254.72/64.48 | | | | | | | | | | | | (2305) all_4_49 = all_4_50
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n7, n5,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2301), (2302) gives:
% 254.72/64.48 | | | | | | | | | | | | (2306) all_4_48 = all_4_49
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n7, n5,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2301), (2303) gives:
% 254.72/64.48 | | | | | | | | | | | | (2307) all_4_48 = all_4_53
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2306), (2307) imply:
% 254.72/64.48 | | | | | | | | | | | | (2308) all_4_49 = all_4_53
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2308) implies:
% 254.72/64.48 | | | | | | | | | | | | (2309) all_4_49 = all_4_53
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2304), (2305) imply:
% 254.72/64.48 | | | | | | | | | | | | (2310) all_4_50 = n1
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2305), (2309) imply:
% 254.72/64.48 | | | | | | | | | | | | (2311) all_4_50 = all_4_53
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2310), (2311) imply:
% 254.72/64.48 | | | | | | | | | | | | (2312) all_4_53 = n1
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2307), (2312) imply:
% 254.72/64.48 | | | | | | | | | | | | (2313) all_4_48 = n1
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (150), (2304), (2313) imply:
% 254.72/64.48 | | | | | | | | | | | | (2314) sum(n1, n1) = all_4_92
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (147), (2310), (2312) imply:
% 254.72/64.48 | | | | | | | | | | | | (2315) sum(n1, n1) = all_4_93
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_92, n1, n1,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (18), (2314) gives:
% 254.72/64.48 | | | | | | | | | | | | (2316) all_4_92 = n2
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n1, n1,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2314), (2315) gives:
% 254.72/64.48 | | | | | | | | | | | | (2317) all_4_92 = all_4_93
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2316), (2317) imply:
% 254.72/64.48 | | | | | | | | | | | | (2318) all_4_93 = n2
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2318) implies:
% 254.72/64.48 | | | | | | | | | | | | (2319) all_4_93 = n2
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (238), (2316) imply:
% 254.72/64.48 | | | | | | | | | | | | (2320) pred(n2) = all_4_44
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (237), (2319) imply:
% 254.72/64.48 | | | | | | | | | | | | (2321) pred(n2) = all_4_47
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (207), (2316) imply:
% 254.72/64.48 | | | | | | | | | | | | (2322) succ(n2) = all_4_46
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (206), (2319) imply:
% 254.72/64.48 | | | | | | | | | | | | (2323) succ(n2) = all_4_43
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_43, n2,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (189), (2323) gives:
% 254.72/64.48 | | | | | | | | | | | | (2324) all_4_43 = n3
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n2,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2322), (2323) gives:
% 254.72/64.48 | | | | | | | | | | | | (2325) all_4_43 = all_4_46
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_44, n2,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (220), (2320) gives:
% 254.72/64.48 | | | | | | | | | | | | (2326) all_4_44 = n1
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n2,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2320), (2321) gives:
% 254.72/64.48 | | | | | | | | | | | | (2327) all_4_44 = all_4_47
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2324), (2325) imply:
% 254.72/64.48 | | | | | | | | | | | | (2328) all_4_46 = n3
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2326), (2327) imply:
% 254.72/64.48 | | | | | | | | | | | | (2329) all_4_47 = n1
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (155), (2324), (2326) imply:
% 254.72/64.48 | | | | | | | | | | | | (2330) sum(n1, n3) = all_4_42
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (154), (2326), (2328) imply:
% 254.72/64.48 | | | | | | | | | | | | (2331) sum(n1, n3) = all_4_40
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (152), (2324), (2329) imply:
% 254.72/64.48 | | | | | | | | | | | | (2332) sum(n1, n3) = all_4_41
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (151), (2328), (2329) imply:
% 254.72/64.48 | | | | | | | | | | | | (2333) sum(n1, n3) = all_4_45
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_41, n3, n1,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (20), (2332) gives:
% 254.72/64.48 | | | | | | | | | | | | (2334) all_4_41 = n4
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n3, n1,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2330), (2332) gives:
% 254.72/64.48 | | | | | | | | | | | | (2335) all_4_41 = all_4_42
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n3, n1,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2331), (2332) gives:
% 254.72/64.48 | | | | | | | | | | | | (2336) all_4_40 = all_4_41
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n3, n1,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2331), (2333) gives:
% 254.72/64.48 | | | | | | | | | | | | (2337) all_4_40 = all_4_45
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2336), (2337) imply:
% 254.72/64.48 | | | | | | | | | | | | (2338) all_4_41 = all_4_45
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2338) implies:
% 254.72/64.48 | | | | | | | | | | | | (2339) all_4_41 = all_4_45
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2334), (2335) imply:
% 254.72/64.48 | | | | | | | | | | | | (2340) all_4_42 = n4
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2335), (2339) imply:
% 254.72/64.48 | | | | | | | | | | | | (2341) all_4_42 = all_4_45
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2340), (2341) imply:
% 254.72/64.48 | | | | | | | | | | | | (2342) all_4_45 = n4
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2342) implies:
% 254.72/64.48 | | | | | | | | | | | | (2343) all_4_45 = n4
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2337), (2343) imply:
% 254.72/64.48 | | | | | | | | | | | | (2344) all_4_40 = n4
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (156), (2334), (2344) imply:
% 254.72/64.48 | | | | | | | | | | | | (2345) sum(n4, n4) = all_4_90
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (153), (2340), (2343) imply:
% 254.72/64.48 | | | | | | | | | | | | (2346) sum(n4, n4) = all_4_91
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_90, n4, n4,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (54), (2345) gives:
% 254.72/64.48 | | | | | | | | | | | | (2347) all_4_90 = n8
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n4, n4,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (2345), (2346) gives:
% 254.72/64.48 | | | | | | | | | | | | (2348) all_4_90 = all_4_91
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | COMBINE_EQS: (2347), (2348) imply:
% 254.72/64.48 | | | | | | | | | | | | (2349) all_4_91 = n8
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | SIMP: (2349) implies:
% 254.72/64.48 | | | | | | | | | | | | (2350) all_4_91 = n8
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (240), (2347) imply:
% 254.72/64.48 | | | | | | | | | | | | (2351) pred(n8) = all_4_36
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (239), (2350) imply:
% 254.72/64.48 | | | | | | | | | | | | (2352) pred(n8) = all_4_39
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (209), (2347) imply:
% 254.72/64.48 | | | | | | | | | | | | (2353) succ(n8) = all_4_38
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REDUCE: (208), (2350) imply:
% 254.72/64.48 | | | | | | | | | | | | (2354) succ(n8) = all_4_35
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_35, n8,
% 254.72/64.48 | | | | | | | | | | | | simplifying with (195), (2354) gives:
% 254.72/64.48 | | | | | | | | | | | | (2355) all_4_35 = n9
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (157), (158), (159),
% 254.72/64.48 | | | | | | | | | | | | (160), (161), (162), (226), (2214), (2351),
% 254.72/64.48 | | | | | | | | | | | | (2352), (2353), (2354), (2355) are inconsistent by
% 254.72/64.48 | | | | | | | | | | | | sub-proof #140.
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | Case 2:
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | (2356) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 254.72/64.48 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | BETA: splitting (2356) gives:
% 254.72/64.48 | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | Case 1:
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | (2357) all_4_100 = n5
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (230), (2357) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2358) pred(n5) = all_4_76
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (199), (2357) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2359) succ(n5) = all_4_78
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (192), (2359) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2360) all_4_78 = n6
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (223), (2358) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2361) all_4_76 = n4
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (130), (2360), (2361) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2362) sum(n4, n6) = all_4_72
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (257), (2361) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2363) sum(n4, n0) = all_4_74
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (259), (2360) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2364) sum(n9, n6) = all_4_77
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (50), (2363) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2365) all_4_74 = n4
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (56), (2362) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2366) all_4_72 = n10
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (111), (2364) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2367) all_4_77 = n4
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (129), (2365), (2367) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2368) sum(n4, n4) = all_4_99
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REDUCE: (261), (2366) imply:
% 254.72/64.48 | | | | | | | | | | | | | (2369) sum(n9, n10) = all_4_98
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (54), (2368) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2370) all_4_99 = n8
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 254.72/64.48 | | | | | | | | | | | | | simplifying with (115), (2369) gives:
% 254.72/64.48 | | | | | | | | | | | | | (2371) all_4_98 = n8
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 254.72/64.48 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.72/64.48 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.72/64.48 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.72/64.48 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.72/64.48 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 254.72/64.48 | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 254.72/64.48 | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 254.72/64.48 | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 254.72/64.48 | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 254.72/64.48 | | | | | | | | | | | | | (2214), (2368), (2370), (2371) are inconsistent by
% 254.72/64.48 | | | | | | | | | | | | | sub-proof #138.
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.48 | | | | | | | | | | | | Case 2:
% 254.72/64.48 | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | (2372) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.72/64.49 | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.72/64.49 | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | BETA: splitting (2372) gives:
% 254.72/64.49 | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | Case 1:
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | (2373) all_4_100 = n4
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (230), (2373) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2374) pred(n4) = all_4_76
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (199), (2373) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2375) succ(n4) = all_4_78
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (191), (2375) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2376) all_4_78 = n5
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (222), (2374) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2377) all_4_76 = n3
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (130), (2376), (2377) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2378) sum(n3, n5) = all_4_72
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (257), (2377) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2379) sum(n3, n0) = all_4_74
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (259), (2376) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2380) sum(n9, n5) = all_4_77
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (39), (2379) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2381) all_4_74 = n3
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (44), (2378) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2382) all_4_72 = n8
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (110), (2380) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2383) all_4_77 = n3
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (129), (2381), (2383) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2384) sum(n3, n3) = all_4_99
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REDUCE: (261), (2382) imply:
% 254.72/64.49 | | | | | | | | | | | | | | (2385) sum(n9, n8) = all_4_98
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (42), (2384) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2386) all_4_99 = n6
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 254.72/64.49 | | | | | | | | | | | | | | simplifying with (113), (2385) gives:
% 254.72/64.49 | | | | | | | | | | | | | | (2387) all_4_98 = n6
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 254.72/64.49 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.72/64.49 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.72/64.49 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.72/64.49 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.72/64.49 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 254.72/64.49 | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 254.72/64.49 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 254.72/64.49 | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 254.72/64.49 | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 254.72/64.49 | | | | | | | | | | | | | | (2214), (2384), (2386), (2387) are inconsistent by
% 254.72/64.49 | | | | | | | | | | | | | | sub-proof #136.
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | Case 2:
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | (2388) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.72/64.49 | | | | | | | | | | | | | | all_4_100 = n0
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 254.72/64.49 | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | Case 1:
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | (2389) all_4_100 = n3
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (230), (2389) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2390) pred(n3) = all_4_76
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (199), (2389) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2391) succ(n3) = all_4_78
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (190), (2391) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2392) all_4_78 = n4
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (221), (2390) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2393) all_4_76 = n2
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (130), (2392), (2393) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2394) sum(n2, n4) = all_4_72
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (257), (2393) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2395) sum(n2, n0) = all_4_74
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (259), (2392) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2396) sum(n9, n4) = all_4_77
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (28), (2395) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2397) all_4_74 = n2
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (32), (2394) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2398) all_4_72 = n6
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (109), (2396) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2399) all_4_77 = n2
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (129), (2397), (2399) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2400) sum(n2, n2) = all_4_99
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REDUCE: (261), (2398) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | (2401) sum(n9, n6) = all_4_98
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (30), (2400) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2402) all_4_99 = n4
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | simplifying with (111), (2401) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | (2403) all_4_98 = n4
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 254.72/64.49 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 254.72/64.49 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.72/64.49 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.72/64.49 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.72/64.49 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 254.72/64.49 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 254.72/64.49 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 254.72/64.49 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 254.72/64.49 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 254.72/64.49 | | | | | | | | | | | | | | | (2214), (2400), (2402), (2403) are inconsistent by
% 254.72/64.49 | | | | | | | | | | | | | | | sub-proof #134.
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | Case 2:
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | (2404) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | BETA: splitting (2404) gives:
% 254.72/64.49 | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | Case 1:
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | (2405) all_4_100 = n2
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (230), (2405) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2406) pred(n2) = all_4_76
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (199), (2405) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2407) succ(n2) = all_4_78
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (189), (2407) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2408) all_4_78 = n3
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (220), (2406) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2409) all_4_76 = n1
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (130), (2408), (2409) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2410) sum(n1, n3) = all_4_72
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (257), (2409) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2411) sum(n1, n0) = all_4_74
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (259), (2408) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2412) sum(n9, n3) = all_4_77
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (17), (2411) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2413) all_4_74 = n1
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (20), (2410) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2414) all_4_72 = n4
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (108), (2412) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2415) all_4_77 = n1
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (129), (2413), (2415) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2416) sum(n1, n1) = all_4_99
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REDUCE: (261), (2414) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2417) sum(n9, n4) = all_4_98
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (18), (2416) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2418) all_4_99 = n2
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | | simplifying with (109), (2417) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | (2419) all_4_98 = n2
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 254.72/64.49 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 254.72/64.49 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.72/64.49 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.72/64.49 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.72/64.49 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 254.72/64.49 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 254.72/64.49 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 254.72/64.49 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 254.72/64.49 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 254.72/64.49 | | | | | | | | | | | | | | | | (2214), (2416), (2418), (2419) are inconsistent by
% 254.72/64.49 | | | | | | | | | | | | | | | | sub-proof #133.
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | Case 2:
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | (2420) all_4_100 = n1 | all_4_100 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | BETA: splitting (2420) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | Case 1:
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2421) all_4_100 = n1
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (230), (2421) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2422) pred(n1) = all_4_76
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (199), (2421) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2423) succ(n1) = all_4_78
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (188), (2423) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2424) all_4_78 = n2
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (219), (2422) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2425) all_4_76 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (130), (2424), (2425) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2426) sum(n0, n2) = all_4_72
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (257), (2425) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2427) sum(n0, n0) = all_4_74
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (259), (2424) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2428) sum(n9, n2) = all_4_77
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (6), (2427) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2429) all_4_74 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (8), (2426) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2430) all_4_72 = n2
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (107), (2428) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2431) all_4_77 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (129), (2429), (2431) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2432) sum(n0, n0) = all_4_99
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (261), (2430) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2433) sum(n9, n2) = all_4_98
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (6), (2432) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2434) all_4_99 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (107), (2433) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2435) all_4_98 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (2214),
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2432), (2434), (2435) are inconsistent by
% 254.72/64.49 | | | | | | | | | | | | | | | | | sub-proof #131.
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | Case 2:
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2436) all_4_100 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (230), (2436) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2437) pred(n0) = all_4_76
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (199), (2436) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2438) succ(n0) = all_4_78
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (187), (2438) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2439) all_4_78 = n1
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (218), (2437) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2440) all_4_76 = n10
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (130), (2439), (2440) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2441) sum(n10, n1) = all_4_72
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (257), (2440) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2442) sum(n10, n0) = all_4_74
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (259), (2439) imply:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2443) sum(n9, n1) = all_4_77
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (106), (2443) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2444) all_4_77 = n10
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (116), (2442) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2445) all_4_74 = n10
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 254.72/64.49 | | | | | | | | | | | | | | | | | simplifying with (117), (2441) gives:
% 254.72/64.49 | | | | | | | | | | | | | | | | | (2446) all_4_72 = n0
% 254.72/64.49 | | | | | | | | | | | | | | | | |
% 254.72/64.49 | | | | | | | | | | | | | | | | | REDUCE: (129), (2444), (2445) imply:
% 254.72/64.50 | | | | | | | | | | | | | | | | | (2447) sum(n10, n10) = all_4_99
% 254.72/64.50 | | | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | | | | REDUCE: (261), (2446) imply:
% 254.72/64.50 | | | | | | | | | | | | | | | | | (2448) sum(n9, n0) = all_4_98
% 254.72/64.50 | | | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 254.72/64.50 | | | | | | | | | | | | | | | | | simplifying with (105), (2448) gives:
% 254.72/64.50 | | | | | | | | | | | | | | | | | (2449) all_4_98 = n9
% 254.72/64.50 | | | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 254.72/64.50 | | | | | | | | | | | | | | | | | simplifying with (126), (2447) gives:
% 254.72/64.50 | | | | | | | | | | | | | | | | | (2450) all_4_99 = n9
% 254.72/64.50 | | | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 254.72/64.50 | | | | | | | | | | | | | | | | | (2214), (2447), (2449), (2450) are inconsistent by
% 254.72/64.50 | | | | | | | | | | | | | | | | | sub-proof #130.
% 254.72/64.50 | | | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | | | End of split
% 254.72/64.50 | | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | | End of split
% 254.72/64.50 | | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | | End of split
% 254.72/64.50 | | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | | End of split
% 254.72/64.50 | | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | End of split
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | End of split
% 254.72/64.50 | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | Case 2:
% 254.72/64.50 | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | (2451) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 254.72/64.50 | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 254.72/64.50 | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 254.72/64.50 | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | BETA: splitting (2213) gives:
% 254.72/64.50 | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | Case 1:
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | (2452) all_4_100 = n6
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (230), (2452) imply:
% 254.72/64.50 | | | | | | | | | | | | (2453) pred(n6) = all_4_76
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (199), (2452) imply:
% 254.72/64.50 | | | | | | | | | | | | (2454) succ(n6) = all_4_78
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (193), (2454) gives:
% 254.72/64.50 | | | | | | | | | | | | (2455) all_4_78 = n7
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (224), (2453) gives:
% 254.72/64.50 | | | | | | | | | | | | (2456) all_4_76 = n5
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (130), (2455), (2456) imply:
% 254.72/64.50 | | | | | | | | | | | | (2457) sum(n5, n7) = all_4_72
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (257), (2456) imply:
% 254.72/64.50 | | | | | | | | | | | | (2458) sum(n5, n0) = all_4_74
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (259), (2455) imply:
% 254.72/64.50 | | | | | | | | | | | | (2459) sum(n9, n7) = all_4_77
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n0, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (61), (2458) gives:
% 254.72/64.50 | | | | | | | | | | | | (2460) all_4_74 = n5
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (68), (2457) gives:
% 254.72/64.50 | | | | | | | | | | | | (2461) all_4_72 = n1
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n7, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (112), (2459) gives:
% 254.72/64.50 | | | | | | | | | | | | (2462) all_4_77 = n5
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (129), (2460), (2462) imply:
% 254.72/64.50 | | | | | | | | | | | | (2463) sum(n5, n5) = all_4_99
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (261), (2461) imply:
% 254.72/64.50 | | | | | | | | | | | | (2464) sum(n9, n1) = all_4_98
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (66), (2463) gives:
% 254.72/64.50 | | | | | | | | | | | | (2465) all_4_99 = n10
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n1, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (106), (2464) gives:
% 254.72/64.50 | | | | | | | | | | | | (2466) all_4_98 = n10
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (232), (2466) imply:
% 254.72/64.50 | | | | | | | | | | | | (2467) pred(n10) = all_4_68
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (231), (2465) imply:
% 254.72/64.50 | | | | | | | | | | | | (2468) pred(n10) = all_4_71
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (201), (2466) imply:
% 254.72/64.50 | | | | | | | | | | | | (2469) succ(n10) = all_4_70
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (200), (2465) imply:
% 254.72/64.50 | | | | | | | | | | | | (2470) succ(n10) = all_4_67
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_67, n10,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (197), (2470) gives:
% 254.72/64.50 | | | | | | | | | | | | (2471) all_4_67 = n0
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n10,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2469), (2470) gives:
% 254.72/64.50 | | | | | | | | | | | | (2472) all_4_67 = all_4_70
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_68, n10,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (228), (2467) gives:
% 254.72/64.50 | | | | | | | | | | | | (2473) all_4_68 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n10,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2467), (2468) gives:
% 254.72/64.50 | | | | | | | | | | | | (2474) all_4_68 = all_4_71
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2471), (2472) imply:
% 254.72/64.50 | | | | | | | | | | | | (2475) all_4_70 = n0
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2475) implies:
% 254.72/64.50 | | | | | | | | | | | | (2476) all_4_70 = n0
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2473), (2474) imply:
% 254.72/64.50 | | | | | | | | | | | | (2477) all_4_71 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (137), (2471), (2473) imply:
% 254.72/64.50 | | | | | | | | | | | | (2478) sum(n9, n0) = all_4_66
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (136), (2473), (2476) imply:
% 254.72/64.50 | | | | | | | | | | | | (2479) sum(n9, n0) = all_4_64
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (134), (2471), (2477) imply:
% 254.72/64.50 | | | | | | | | | | | | (2480) sum(n9, n0) = all_4_65
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (133), (2476), (2477) imply:
% 254.72/64.50 | | | | | | | | | | | | (2481) sum(n9, n0) = all_4_69
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_65, n0, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (105), (2480) gives:
% 254.72/64.50 | | | | | | | | | | | | (2482) all_4_65 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n0, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2478), (2480) gives:
% 254.72/64.50 | | | | | | | | | | | | (2483) all_4_65 = all_4_66
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n0, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2478), (2479) gives:
% 254.72/64.50 | | | | | | | | | | | | (2484) all_4_64 = all_4_66
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n0, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2479), (2481) gives:
% 254.72/64.50 | | | | | | | | | | | | (2485) all_4_64 = all_4_69
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2484), (2485) imply:
% 254.72/64.50 | | | | | | | | | | | | (2486) all_4_66 = all_4_69
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2486) implies:
% 254.72/64.50 | | | | | | | | | | | | (2487) all_4_66 = all_4_69
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2482), (2483) imply:
% 254.72/64.50 | | | | | | | | | | | | (2488) all_4_66 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2488) implies:
% 254.72/64.50 | | | | | | | | | | | | (2489) all_4_66 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2487), (2489) imply:
% 254.72/64.50 | | | | | | | | | | | | (2490) all_4_69 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2485), (2490) imply:
% 254.72/64.50 | | | | | | | | | | | | (2491) all_4_64 = n9
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (138), (2482), (2491) imply:
% 254.72/64.50 | | | | | | | | | | | | (2492) sum(n9, n9) = all_4_96
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (135), (2489), (2490) imply:
% 254.72/64.50 | | | | | | | | | | | | (2493) sum(n9, n9) = all_4_97
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_96, n9, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (114), (2492) gives:
% 254.72/64.50 | | | | | | | | | | | | (2494) all_4_96 = n7
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n9, n9,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2492), (2493) gives:
% 254.72/64.50 | | | | | | | | | | | | (2495) all_4_96 = all_4_97
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2494), (2495) imply:
% 254.72/64.50 | | | | | | | | | | | | (2496) all_4_97 = n7
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (234), (2494) imply:
% 254.72/64.50 | | | | | | | | | | | | (2497) pred(n7) = all_4_60
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (233), (2496) imply:
% 254.72/64.50 | | | | | | | | | | | | (2498) pred(n7) = all_4_63
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (203), (2494) imply:
% 254.72/64.50 | | | | | | | | | | | | (2499) succ(n7) = all_4_62
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (202), (2496) imply:
% 254.72/64.50 | | | | | | | | | | | | (2500) succ(n7) = all_4_59
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_59, n7,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (194), (2500) gives:
% 254.72/64.50 | | | | | | | | | | | | (2501) all_4_59 = n8
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n7,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2499), (2500) gives:
% 254.72/64.50 | | | | | | | | | | | | (2502) all_4_59 = all_4_62
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_60, n7,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (225), (2497) gives:
% 254.72/64.50 | | | | | | | | | | | | (2503) all_4_60 = n6
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n7,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2497), (2498) gives:
% 254.72/64.50 | | | | | | | | | | | | (2504) all_4_60 = all_4_63
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2501), (2502) imply:
% 254.72/64.50 | | | | | | | | | | | | (2505) all_4_62 = n8
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2505) implies:
% 254.72/64.50 | | | | | | | | | | | | (2506) all_4_62 = n8
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2503), (2504) imply:
% 254.72/64.50 | | | | | | | | | | | | (2507) all_4_63 = n6
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (143), (2501), (2503) imply:
% 254.72/64.50 | | | | | | | | | | | | (2508) sum(n6, n8) = all_4_58
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (142), (2503), (2506) imply:
% 254.72/64.50 | | | | | | | | | | | | (2509) sum(n6, n8) = all_4_56
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (140), (2501), (2507) imply:
% 254.72/64.50 | | | | | | | | | | | | (2510) sum(n6, n8) = all_4_57
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (139), (2506), (2507) imply:
% 254.72/64.50 | | | | | | | | | | | | (2511) sum(n6, n8) = all_4_61
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_58, n8, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (80), (2508) gives:
% 254.72/64.50 | | | | | | | | | | | | (2512) all_4_58 = n3
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n8, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2508), (2510) gives:
% 254.72/64.50 | | | | | | | | | | | | (2513) all_4_57 = all_4_58
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n8, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2509), (2510) gives:
% 254.72/64.50 | | | | | | | | | | | | (2514) all_4_56 = all_4_57
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n8, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2509), (2511) gives:
% 254.72/64.50 | | | | | | | | | | | | (2515) all_4_56 = all_4_61
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2514), (2515) imply:
% 254.72/64.50 | | | | | | | | | | | | (2516) all_4_57 = all_4_61
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2516) implies:
% 254.72/64.50 | | | | | | | | | | | | (2517) all_4_57 = all_4_61
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2513), (2517) imply:
% 254.72/64.50 | | | | | | | | | | | | (2518) all_4_58 = all_4_61
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2518) implies:
% 254.72/64.50 | | | | | | | | | | | | (2519) all_4_58 = all_4_61
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2512), (2519) imply:
% 254.72/64.50 | | | | | | | | | | | | (2520) all_4_61 = n3
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2517), (2520) imply:
% 254.72/64.50 | | | | | | | | | | | | (2521) all_4_57 = n3
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2515), (2520) imply:
% 254.72/64.50 | | | | | | | | | | | | (2522) all_4_56 = n3
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (144), (2521), (2522) imply:
% 254.72/64.50 | | | | | | | | | | | | (2523) sum(n3, n3) = all_4_94
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (141), (2512), (2520) imply:
% 254.72/64.50 | | | | | | | | | | | | (2524) sum(n3, n3) = all_4_95
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_94, n3, n3,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (42), (2523) gives:
% 254.72/64.50 | | | | | | | | | | | | (2525) all_4_94 = n6
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n3, n3,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2523), (2524) gives:
% 254.72/64.50 | | | | | | | | | | | | (2526) all_4_94 = all_4_95
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2525), (2526) imply:
% 254.72/64.50 | | | | | | | | | | | | (2527) all_4_95 = n6
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (236), (2525) imply:
% 254.72/64.50 | | | | | | | | | | | | (2528) pred(n6) = all_4_52
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (235), (2527) imply:
% 254.72/64.50 | | | | | | | | | | | | (2529) pred(n6) = all_4_55
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (205), (2525) imply:
% 254.72/64.50 | | | | | | | | | | | | (2530) succ(n6) = all_4_54
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (204), (2527) imply:
% 254.72/64.50 | | | | | | | | | | | | (2531) succ(n6) = all_4_51
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_51, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (193), (2531) gives:
% 254.72/64.50 | | | | | | | | | | | | (2532) all_4_51 = n7
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2530), (2531) gives:
% 254.72/64.50 | | | | | | | | | | | | (2533) all_4_51 = all_4_54
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_52, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (224), (2528) gives:
% 254.72/64.50 | | | | | | | | | | | | (2534) all_4_52 = n5
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n6,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2528), (2529) gives:
% 254.72/64.50 | | | | | | | | | | | | (2535) all_4_52 = all_4_55
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2532), (2533) imply:
% 254.72/64.50 | | | | | | | | | | | | (2536) all_4_54 = n7
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2536) implies:
% 254.72/64.50 | | | | | | | | | | | | (2537) all_4_54 = n7
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2534), (2535) imply:
% 254.72/64.50 | | | | | | | | | | | | (2538) all_4_55 = n5
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (149), (2532), (2534) imply:
% 254.72/64.50 | | | | | | | | | | | | (2539) sum(n5, n7) = all_4_50
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (148), (2534), (2537) imply:
% 254.72/64.50 | | | | | | | | | | | | (2540) sum(n5, n7) = all_4_48
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (146), (2532), (2538) imply:
% 254.72/64.50 | | | | | | | | | | | | (2541) sum(n5, n7) = all_4_49
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (145), (2537), (2538) imply:
% 254.72/64.50 | | | | | | | | | | | | (2542) sum(n5, n7) = all_4_53
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_50, n7, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (68), (2539) gives:
% 254.72/64.50 | | | | | | | | | | | | (2543) all_4_50 = n1
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n7, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2539), (2541) gives:
% 254.72/64.50 | | | | | | | | | | | | (2544) all_4_49 = all_4_50
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n7, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2540), (2541) gives:
% 254.72/64.50 | | | | | | | | | | | | (2545) all_4_48 = all_4_49
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n7, n5,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (2540), (2542) gives:
% 254.72/64.50 | | | | | | | | | | | | (2546) all_4_48 = all_4_53
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2545), (2546) imply:
% 254.72/64.50 | | | | | | | | | | | | (2547) all_4_49 = all_4_53
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2547) implies:
% 254.72/64.50 | | | | | | | | | | | | (2548) all_4_49 = all_4_53
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2544), (2548) imply:
% 254.72/64.50 | | | | | | | | | | | | (2549) all_4_50 = all_4_53
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | SIMP: (2549) implies:
% 254.72/64.50 | | | | | | | | | | | | (2550) all_4_50 = all_4_53
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2543), (2550) imply:
% 254.72/64.50 | | | | | | | | | | | | (2551) all_4_53 = n1
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2548), (2551) imply:
% 254.72/64.50 | | | | | | | | | | | | (2552) all_4_49 = n1
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | COMBINE_EQS: (2546), (2551) imply:
% 254.72/64.50 | | | | | | | | | | | | (2553) all_4_48 = n1
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (150), (2552), (2553) imply:
% 254.72/64.50 | | | | | | | | | | | | (2554) sum(n1, n1) = all_4_92
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | REDUCE: (147), (2543), (2551) imply:
% 254.72/64.50 | | | | | | | | | | | | (2555) sum(n1, n1) = all_4_93
% 254.72/64.50 | | | | | | | | | | | |
% 254.72/64.50 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_92, n1, n1,
% 254.72/64.50 | | | | | | | | | | | | simplifying with (18), (2554) gives:
% 254.72/64.51 | | | | | | | | | | | | (2556) all_4_92 = n2
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n1, n1,
% 254.72/64.51 | | | | | | | | | | | | simplifying with (2554), (2555) gives:
% 254.72/64.51 | | | | | | | | | | | | (2557) all_4_92 = all_4_93
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | COMBINE_EQS: (2556), (2557) imply:
% 254.72/64.51 | | | | | | | | | | | | (2558) all_4_93 = n2
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | SIMP: (2558) implies:
% 254.72/64.51 | | | | | | | | | | | | (2559) all_4_93 = n2
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | REDUCE: (238), (2556) imply:
% 254.72/64.51 | | | | | | | | | | | | (2560) pred(n2) = all_4_44
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | REDUCE: (237), (2559) imply:
% 254.72/64.51 | | | | | | | | | | | | (2561) pred(n2) = all_4_47
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | REDUCE: (207), (2556) imply:
% 254.72/64.51 | | | | | | | | | | | | (2562) succ(n2) = all_4_46
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | REDUCE: (206), (2559) imply:
% 254.72/64.51 | | | | | | | | | | | | (2563) succ(n2) = all_4_43
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | BETA: splitting (2451) gives:
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | Case 1:
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | (2564) ~ (all_4_90 = all_4_91)
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_43, n2,
% 254.72/64.51 | | | | | | | | | | | | | simplifying with (189), (2563) gives:
% 254.72/64.51 | | | | | | | | | | | | | (2565) all_4_43 = n3
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (151), (152), (153),
% 254.72/64.51 | | | | | | | | | | | | | (154), (155), (156), (220), (2560), (2561),
% 254.72/64.51 | | | | | | | | | | | | | (2562), (2563), (2564), (2565) are inconsistent by
% 254.72/64.51 | | | | | | | | | | | | | sub-proof #129.
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | Case 2:
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | (2566) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 254.72/64.51 | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 254.72/64.51 | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | REF_CLOSE: (2465), (2466), (2494), (2496), (2525), (2527),
% 254.72/64.51 | | | | | | | | | | | | | (2556), (2559), (2566) are inconsistent by
% 254.72/64.51 | | | | | | | | | | | | | sub-proof #126.
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | End of split
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | Case 2:
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | (2567) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 254.72/64.51 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | BETA: splitting (2451) gives:
% 254.72/64.51 | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | Case 1:
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | (2568) ~ (all_4_90 = all_4_91)
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | BETA: splitting (2567) gives:
% 254.72/64.51 | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | Case 1:
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | (2569) all_4_100 = n5
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (230), (2569) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2570) pred(n5) = all_4_76
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (199), (2569) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2571) succ(n5) = all_4_78
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (192), (2571) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2572) all_4_78 = n6
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (223), (2570) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2573) all_4_76 = n4
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (130), (2572), (2573) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2574) sum(n4, n6) = all_4_72
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (257), (2573) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2575) sum(n4, n0) = all_4_74
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (259), (2572) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2576) sum(n9, n6) = all_4_77
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (50), (2575) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2577) all_4_74 = n4
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (56), (2574) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2578) all_4_72 = n10
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (111), (2576) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2579) all_4_77 = n4
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (129), (2577), (2579) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2580) sum(n4, n4) = all_4_99
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (261), (2578) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2581) sum(n9, n10) = all_4_98
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (54), (2580) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2582) all_4_99 = n8
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (115), (2581) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2583) all_4_98 = n8
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (232), (2583) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2584) pred(n8) = all_4_68
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (231), (2582) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2585) pred(n8) = all_4_71
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (201), (2583) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2586) succ(n8) = all_4_70
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (200), (2582) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2587) succ(n8) = all_4_67
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (195), (2587) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2588) all_4_67 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2586), (2587) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2589) all_4_67 = all_4_70
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (226), (2584) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2590) all_4_68 = n7
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2584), (2585) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2591) all_4_68 = all_4_71
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2588), (2589) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2592) all_4_70 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2590), (2591) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2593) all_4_71 = n7
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (137), (2588), (2590) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2594) sum(n7, n9) = all_4_66
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (136), (2590), (2592) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2595) sum(n7, n9) = all_4_64
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (134), (2588), (2593) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2596) sum(n7, n9) = all_4_65
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (133), (2592), (2593) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2597) sum(n7, n9) = all_4_69
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (92), (2596) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2598) all_4_65 = n5
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2594), (2596) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2599) all_4_65 = all_4_66
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2594), (2595) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2600) all_4_64 = all_4_66
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2595), (2597) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2601) all_4_64 = all_4_69
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2601) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2602) all_4_66 = all_4_69
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | SIMP: (2602) implies:
% 254.72/64.51 | | | | | | | | | | | | | | (2603) all_4_66 = all_4_69
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2598), (2599) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2604) all_4_66 = n5
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | SIMP: (2604) implies:
% 254.72/64.51 | | | | | | | | | | | | | | (2605) all_4_66 = n5
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2603), (2605) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2606) all_4_69 = n5
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2606) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2607) all_4_64 = n5
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (138), (2598), (2607) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2608) sum(n5, n5) = all_4_96
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (135), (2605), (2606) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2609) sum(n5, n5) = all_4_97
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (66), (2608) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2610) all_4_96 = n10
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2608), (2609) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2611) all_4_96 = all_4_97
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2610), (2611) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2612) all_4_97 = n10
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | SIMP: (2612) implies:
% 254.72/64.51 | | | | | | | | | | | | | | (2613) all_4_97 = n10
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (234), (2610) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2614) pred(n10) = all_4_60
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (233), (2613) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2615) pred(n10) = all_4_63
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (203), (2610) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2616) succ(n10) = all_4_62
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (202), (2613) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2617) succ(n10) = all_4_59
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (197), (2617) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2618) all_4_59 = n0
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2616), (2617) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2619) all_4_59 = all_4_62
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (228), (2614) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2620) all_4_60 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2614), (2615) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2621) all_4_60 = all_4_63
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2618), (2619) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2622) all_4_62 = n0
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2620), (2621) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2623) all_4_63 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (143), (2618), (2620) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2624) sum(n9, n0) = all_4_58
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (142), (2620), (2622) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2625) sum(n9, n0) = all_4_56
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (140), (2618), (2623) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2626) sum(n9, n0) = all_4_57
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (139), (2622), (2623) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2627) sum(n9, n0) = all_4_61
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_57, n0, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (105), (2626) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2628) all_4_57 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2624), (2626) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2629) all_4_57 = all_4_58
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2625), (2626) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2630) all_4_56 = all_4_57
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2625), (2627) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2631) all_4_56 = all_4_61
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2630), (2631) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2632) all_4_57 = all_4_61
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | SIMP: (2632) implies:
% 254.72/64.51 | | | | | | | | | | | | | | (2633) all_4_57 = all_4_61
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2628), (2629) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2634) all_4_58 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2629), (2633) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2635) all_4_58 = all_4_61
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2634), (2635) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2636) all_4_61 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2631), (2636) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2637) all_4_56 = n9
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (144), (2628), (2637) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2638) sum(n9, n9) = all_4_94
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (141), (2634), (2636) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2639) sum(n9, n9) = all_4_95
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (114), (2638) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2640) all_4_94 = n7
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2638), (2639) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2641) all_4_94 = all_4_95
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2640), (2641) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2642) all_4_95 = n7
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (236), (2640) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2643) pred(n7) = all_4_52
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (235), (2642) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2644) pred(n7) = all_4_55
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (205), (2640) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2645) succ(n7) = all_4_54
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (204), (2642) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2646) succ(n7) = all_4_51
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (194), (2646) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2647) all_4_51 = n8
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2645), (2646) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2648) all_4_51 = all_4_54
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (225), (2643) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2649) all_4_52 = n6
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2643), (2644) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2650) all_4_52 = all_4_55
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2647), (2648) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2651) all_4_54 = n8
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | COMBINE_EQS: (2649), (2650) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2652) all_4_55 = n6
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | SIMP: (2652) implies:
% 254.72/64.51 | | | | | | | | | | | | | | (2653) all_4_55 = n6
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (149), (2647), (2649) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2654) sum(n6, n8) = all_4_50
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (148), (2649), (2651) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2655) sum(n6, n8) = all_4_48
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (146), (2647), (2653) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2656) sum(n6, n8) = all_4_49
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | REDUCE: (145), (2651), (2653) imply:
% 254.72/64.51 | | | | | | | | | | | | | | (2657) sum(n6, n8) = all_4_53
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_49, n8, n6,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (80), (2656) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2658) all_4_49 = n3
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2654), (2656) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2659) all_4_49 = all_4_50
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 254.72/64.51 | | | | | | | | | | | | | | simplifying with (2655), (2656) gives:
% 254.72/64.51 | | | | | | | | | | | | | | (2660) all_4_48 = all_4_49
% 254.72/64.51 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 254.72/64.52 | | | | | | | | | | | | | | simplifying with (2655), (2657) gives:
% 254.72/64.52 | | | | | | | | | | | | | | (2661) all_4_48 = all_4_53
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2661) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2662) all_4_49 = all_4_53
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | SIMP: (2662) implies:
% 254.72/64.52 | | | | | | | | | | | | | | (2663) all_4_49 = all_4_53
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | COMBINE_EQS: (2658), (2659) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2664) all_4_50 = n3
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | COMBINE_EQS: (2659), (2663) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2665) all_4_50 = all_4_53
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2665) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2666) all_4_53 = n3
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | COMBINE_EQS: (2661), (2666) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2667) all_4_48 = n3
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REDUCE: (150), (2658), (2667) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2668) sum(n3, n3) = all_4_92
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REDUCE: (147), (2664), (2666) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2669) sum(n3, n3) = all_4_93
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 254.72/64.52 | | | | | | | | | | | | | | simplifying with (42), (2668) gives:
% 254.72/64.52 | | | | | | | | | | | | | | (2670) all_4_92 = n6
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 254.72/64.52 | | | | | | | | | | | | | | simplifying with (2668), (2669) gives:
% 254.72/64.52 | | | | | | | | | | | | | | (2671) all_4_92 = all_4_93
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | COMBINE_EQS: (2670), (2671) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2672) all_4_93 = n6
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | SIMP: (2672) implies:
% 254.72/64.52 | | | | | | | | | | | | | | (2673) all_4_93 = n6
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REDUCE: (238), (2670) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2674) pred(n6) = all_4_44
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REDUCE: (237), (2673) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2675) pred(n6) = all_4_47
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REDUCE: (207), (2670) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2676) succ(n6) = all_4_46
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REDUCE: (206), (2673) imply:
% 254.72/64.52 | | | | | | | | | | | | | | (2677) succ(n6) = all_4_43
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_43, n6,
% 254.72/64.52 | | | | | | | | | | | | | | simplifying with (193), (2677) gives:
% 254.72/64.52 | | | | | | | | | | | | | | (2678) all_4_43 = n7
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (68), (151), (152), (153),
% 254.72/64.52 | | | | | | | | | | | | | | (154), (155), (156), (224), (2568), (2674),
% 254.72/64.52 | | | | | | | | | | | | | | (2675), (2676), (2677), (2678) are inconsistent by
% 254.72/64.52 | | | | | | | | | | | | | | sub-proof #125.
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | Case 2:
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | (2679) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.72/64.52 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 254.72/64.52 | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | Case 1:
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | (2680) all_4_100 = n4
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (230), (2680) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2681) pred(n4) = all_4_76
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (199), (2680) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2682) succ(n4) = all_4_78
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (191), (2682) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2683) all_4_78 = n5
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (222), (2681) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2684) all_4_76 = n3
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (130), (2683), (2684) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2685) sum(n3, n5) = all_4_72
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (257), (2684) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2686) sum(n3, n0) = all_4_74
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (259), (2683) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2687) sum(n9, n5) = all_4_77
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (39), (2686) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2688) all_4_74 = n3
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (44), (2685) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2689) all_4_72 = n8
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (110), (2687) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2690) all_4_77 = n3
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (129), (2688), (2690) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2691) sum(n3, n3) = all_4_99
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REDUCE: (261), (2689) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | (2692) sum(n9, n8) = all_4_98
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (42), (2691) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2693) all_4_99 = n6
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 254.72/64.52 | | | | | | | | | | | | | | | simplifying with (113), (2692) gives:
% 254.72/64.52 | | | | | | | | | | | | | | | (2694) all_4_98 = n6
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 254.72/64.52 | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 254.72/64.52 | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 254.72/64.52 | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 254.72/64.52 | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 254.72/64.52 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 254.72/64.52 | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 254.72/64.52 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 254.72/64.52 | | | | | | | | | | | | | | | (238), (2568), (2693), (2694) are inconsistent by
% 254.72/64.52 | | | | | | | | | | | | | | | sub-proof #123.
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | Case 2:
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | (2695) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.72/64.52 | | | | | | | | | | | | | | | all_4_100 = n0
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | BETA: splitting (2695) gives:
% 254.72/64.52 | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | Case 1:
% 254.72/64.52 | | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | | (2696) all_4_100 = n3
% 254.72/64.52 | | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | | REDUCE: (230), (2696) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | | (2697) pred(n3) = all_4_76
% 254.72/64.52 | | | | | | | | | | | | | | | |
% 254.72/64.52 | | | | | | | | | | | | | | | | REDUCE: (199), (2696) imply:
% 254.72/64.52 | | | | | | | | | | | | | | | | (2698) succ(n3) = all_4_78
% 254.72/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (190), (2698) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2699) all_4_78 = n4
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (221), (2697) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2700) all_4_76 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | REDUCE: (130), (2699), (2700) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2701) sum(n2, n4) = all_4_72
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | REDUCE: (257), (2700) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2702) sum(n2, n0) = all_4_74
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | REDUCE: (259), (2699) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2703) sum(n9, n4) = all_4_77
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (28), (2702) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2704) all_4_74 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (32), (2701) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2705) all_4_72 = n6
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (109), (2703) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2706) all_4_77 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | REDUCE: (129), (2704), (2706) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2707) sum(n2, n2) = all_4_99
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | REDUCE: (261), (2705) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2708) sum(n9, n6) = all_4_98
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (30), (2707) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2709) all_4_99 = n4
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 254.91/64.52 | | | | | | | | | | | | | | | | simplifying with (111), (2708) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | (2710) all_4_98 = n4
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 254.91/64.52 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 254.91/64.52 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.91/64.52 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.91/64.52 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 254.91/64.52 | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 254.91/64.52 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 254.91/64.52 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 254.91/64.52 | | | | | | | | | | | | | | | | (237), (238), (2568), (2709), (2710) are
% 254.91/64.52 | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | Case 2:
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | (2711) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | Case 1:
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2712) all_4_100 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (230), (2712) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2713) pred(n2) = all_4_76
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (199), (2712) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2714) succ(n2) = all_4_78
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (189), (2714) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2715) all_4_78 = n3
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (220), (2713) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2716) all_4_76 = n1
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (130), (2715), (2716) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2717) sum(n1, n3) = all_4_72
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (257), (2716) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2718) sum(n1, n0) = all_4_74
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (259), (2715) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2719) sum(n9, n3) = all_4_77
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (17), (2718) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2720) all_4_74 = n1
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (20), (2717) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2721) all_4_72 = n4
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (108), (2719) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2722) all_4_77 = n1
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (129), (2720), (2722) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2723) sum(n1, n1) = all_4_99
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REDUCE: (261), (2721) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2724) sum(n9, n4) = all_4_98
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (18), (2723) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2725) all_4_99 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 254.91/64.52 | | | | | | | | | | | | | | | | | simplifying with (109), (2724) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2726) all_4_98 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 254.91/64.52 | | | | | | | | | | | | | | | | | (238), (2568), (2725), (2726) are inconsistent by
% 254.91/64.52 | | | | | | | | | | | | | | | | | sub-proof #120.
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | Case 2:
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | (2727) all_4_100 = n1 | all_4_100 = n0
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | BETA: splitting (2727) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | Case 1:
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2728) all_4_100 = n1
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | REDUCE: (230), (2728) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2729) pred(n1) = all_4_76
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | REDUCE: (199), (2728) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2730) succ(n1) = all_4_78
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 254.91/64.52 | | | | | | | | | | | | | | | | | | simplifying with (188), (2730) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2731) all_4_78 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 254.91/64.52 | | | | | | | | | | | | | | | | | | simplifying with (219), (2729) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2732) all_4_76 = n0
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | REDUCE: (130), (2731), (2732) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2733) sum(n0, n2) = all_4_72
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | REDUCE: (257), (2732) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2734) sum(n0, n0) = all_4_74
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | REDUCE: (259), (2731) imply:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2735) sum(n9, n2) = all_4_77
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 254.91/64.52 | | | | | | | | | | | | | | | | | | simplifying with (6), (2734) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2736) all_4_74 = n0
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 254.91/64.52 | | | | | | | | | | | | | | | | | | simplifying with (8), (2733) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2737) all_4_72 = n2
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 254.91/64.52 | | | | | | | | | | | | | | | | | | simplifying with (107), (2735) gives:
% 254.91/64.52 | | | | | | | | | | | | | | | | | | (2738) all_4_77 = n0
% 254.91/64.52 | | | | | | | | | | | | | | | | | |
% 254.91/64.52 | | | | | | | | | | | | | | | | | | REDUCE: (129), (2736), (2738) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2739) sum(n0, n0) = all_4_99
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (261), (2737) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2740) sum(n9, n2) = all_4_98
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (6), (2739) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2741) all_4_99 = n0
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (107), (2740) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2742) all_4_98 = n0
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (236), (237), (238), (2568), (2739), (2741),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2742) are inconsistent by sub-proof #118.
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | Case 2:
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2743) all_4_100 = n0
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (230), (2743) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2744) pred(n0) = all_4_76
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (199), (2743) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2745) succ(n0) = all_4_78
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (187), (2745) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2746) all_4_78 = n1
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (218), (2744) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2747) all_4_76 = n10
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (130), (2746), (2747) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2748) sum(n10, n1) = all_4_72
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (257), (2747) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2749) sum(n10, n0) = all_4_74
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (259), (2746) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2750) sum(n9, n1) = all_4_77
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (106), (2750) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2751) all_4_77 = n10
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (116), (2749) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2752) all_4_74 = n10
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (117), (2748) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2753) all_4_72 = n0
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (129), (2751), (2752) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2754) sum(n10, n10) = all_4_99
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REDUCE: (261), (2753) imply:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2755) sum(n9, n0) = all_4_98
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (105), (2755) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2756) all_4_98 = n9
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 254.91/64.53 | | | | | | | | | | | | | | | | | | simplifying with (126), (2754) gives:
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (2757) all_4_99 = n9
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 254.91/64.53 | | | | | | | | | | | | | | | | | | (238), (2568), (2756), (2757) are inconsistent by
% 254.91/64.53 | | | | | | | | | | | | | | | | | | sub-proof #117.
% 254.91/64.53 | | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | | End of split
% 254.91/64.53 | | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | | End of split
% 254.91/64.53 | | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | | End of split
% 254.91/64.53 | | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | End of split
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | End of split
% 254.91/64.53 | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | Case 2:
% 254.91/64.53 | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | (2758) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 254.91/64.53 | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 254.91/64.53 | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 254.91/64.53 | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | BETA: splitting (2567) gives:
% 254.91/64.53 | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | Case 1:
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | (2759) all_4_100 = n5
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (230), (2759) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2760) pred(n5) = all_4_76
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (199), (2759) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2761) succ(n5) = all_4_78
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (192), (2761) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2762) all_4_78 = n6
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (223), (2760) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2763) all_4_76 = n4
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (130), (2762), (2763) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2764) sum(n4, n6) = all_4_72
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (257), (2763) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2765) sum(n4, n0) = all_4_74
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (259), (2762) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2766) sum(n9, n6) = all_4_77
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n0, n4,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (50), (2765) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2767) all_4_74 = n4
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (56), (2764) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2768) all_4_72 = n10
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n6, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (111), (2766) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2769) all_4_77 = n4
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (129), (2767), (2769) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2770) sum(n4, n4) = all_4_99
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (261), (2768) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2771) sum(n9, n10) = all_4_98
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (54), (2770) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2772) all_4_99 = n8
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n10, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (115), (2771) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2773) all_4_98 = n8
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (232), (2773) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2774) pred(n8) = all_4_68
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (231), (2772) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2775) pred(n8) = all_4_71
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (201), (2773) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2776) succ(n8) = all_4_70
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (200), (2772) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2777) succ(n8) = all_4_67
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (195), (2777) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2778) all_4_67 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2776), (2777) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2779) all_4_67 = all_4_70
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (226), (2774) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2780) all_4_68 = n7
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2774), (2775) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2781) all_4_68 = all_4_71
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2778), (2779) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2782) all_4_70 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | SIMP: (2782) implies:
% 254.91/64.53 | | | | | | | | | | | | | | (2783) all_4_70 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2780), (2781) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2784) all_4_71 = n7
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (137), (2778), (2780) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2785) sum(n7, n9) = all_4_66
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (136), (2780), (2783) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2786) sum(n7, n9) = all_4_64
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (134), (2778), (2784) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2787) sum(n7, n9) = all_4_65
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (133), (2783), (2784) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2788) sum(n7, n9) = all_4_69
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (92), (2787) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2789) all_4_65 = n5
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2785), (2787) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2790) all_4_65 = all_4_66
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2785), (2786) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2791) all_4_64 = all_4_66
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2786), (2788) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2792) all_4_64 = all_4_69
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2791), (2792) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2793) all_4_66 = all_4_69
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | SIMP: (2793) implies:
% 254.91/64.53 | | | | | | | | | | | | | | (2794) all_4_66 = all_4_69
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2789), (2790) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2795) all_4_66 = n5
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | SIMP: (2795) implies:
% 254.91/64.53 | | | | | | | | | | | | | | (2796) all_4_66 = n5
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2794), (2796) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2797) all_4_69 = n5
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2792), (2797) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2798) all_4_64 = n5
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (138), (2789), (2798) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2799) sum(n5, n5) = all_4_96
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (135), (2796), (2797) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2800) sum(n5, n5) = all_4_97
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (66), (2799) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2801) all_4_96 = n10
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2799), (2800) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2802) all_4_96 = all_4_97
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2801), (2802) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2803) all_4_97 = n10
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (234), (2801) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2804) pred(n10) = all_4_60
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (233), (2803) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2805) pred(n10) = all_4_63
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (203), (2801) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2806) succ(n10) = all_4_62
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (202), (2803) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2807) succ(n10) = all_4_59
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (197), (2807) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2808) all_4_59 = n0
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2806), (2807) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2809) all_4_59 = all_4_62
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (228), (2804) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2810) all_4_60 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2804), (2805) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2811) all_4_60 = all_4_63
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2808), (2809) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2812) all_4_62 = n0
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | SIMP: (2812) implies:
% 254.91/64.53 | | | | | | | | | | | | | | (2813) all_4_62 = n0
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2810), (2811) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2814) all_4_63 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (143), (2808), (2810) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2815) sum(n9, n0) = all_4_58
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (142), (2810), (2813) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2816) sum(n9, n0) = all_4_56
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (140), (2808), (2814) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2817) sum(n9, n0) = all_4_57
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (139), (2813), (2814) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2818) sum(n9, n0) = all_4_61
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_58, n0, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (105), (2815) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2819) all_4_58 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2815), (2817) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2820) all_4_57 = all_4_58
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2816), (2817) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2821) all_4_56 = all_4_57
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2816), (2818) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2822) all_4_56 = all_4_61
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2821), (2822) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2823) all_4_57 = all_4_61
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | SIMP: (2823) implies:
% 254.91/64.53 | | | | | | | | | | | | | | (2824) all_4_57 = all_4_61
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2820), (2824) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2825) all_4_58 = all_4_61
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | SIMP: (2825) implies:
% 254.91/64.53 | | | | | | | | | | | | | | (2826) all_4_58 = all_4_61
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2819), (2826) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2827) all_4_61 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2824), (2827) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2828) all_4_57 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2822), (2827) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2829) all_4_56 = n9
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (144), (2828), (2829) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2830) sum(n9, n9) = all_4_94
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (141), (2819), (2827) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2831) sum(n9, n9) = all_4_95
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (114), (2830) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2832) all_4_94 = n7
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 254.91/64.53 | | | | | | | | | | | | | | simplifying with (2830), (2831) gives:
% 254.91/64.53 | | | | | | | | | | | | | | (2833) all_4_94 = all_4_95
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | COMBINE_EQS: (2832), (2833) imply:
% 254.91/64.53 | | | | | | | | | | | | | | (2834) all_4_95 = n7
% 254.91/64.53 | | | | | | | | | | | | | |
% 254.91/64.53 | | | | | | | | | | | | | | REDUCE: (236), (2832) imply:
% 254.91/64.54 | | | | | | | | | | | | | | (2835) pred(n7) = all_4_52
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | REDUCE: (235), (2834) imply:
% 254.91/64.54 | | | | | | | | | | | | | | (2836) pred(n7) = all_4_55
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | REDUCE: (205), (2832) imply:
% 254.91/64.54 | | | | | | | | | | | | | | (2837) succ(n7) = all_4_54
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | REDUCE: (204), (2834) imply:
% 254.91/64.54 | | | | | | | | | | | | | | (2838) succ(n7) = all_4_51
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | BETA: splitting (2758) gives:
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | Case 1:
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | (2839) ~ (all_4_92 = all_4_93)
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 254.91/64.54 | | | | | | | | | | | | | | | simplifying with (194), (2838) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | (2840) all_4_51 = n8
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (145), (146), (147),
% 254.91/64.54 | | | | | | | | | | | | | | | (148), (149), (150), (225), (2835), (2836),
% 254.91/64.54 | | | | | | | | | | | | | | | (2837), (2838), (2839), (2840) are inconsistent by
% 254.91/64.54 | | | | | | | | | | | | | | | sub-proof #116.
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | Case 2:
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | (2841) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 254.91/64.54 | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | REF_CLOSE: (2772), (2773), (2801), (2803), (2832), (2834),
% 254.91/64.54 | | | | | | | | | | | | | | | (2841) are inconsistent by sub-proof #114.
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | End of split
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | Case 2:
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | (2842) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 254.91/64.54 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | BETA: splitting (2758) gives:
% 254.91/64.54 | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | Case 1:
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | (2843) ~ (all_4_92 = all_4_93)
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | BETA: splitting (2842) gives:
% 254.91/64.54 | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | Case 1:
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | (2844) all_4_100 = n4
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (230), (2844) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2845) pred(n4) = all_4_76
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (199), (2844) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2846) succ(n4) = all_4_78
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (191), (2846) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2847) all_4_78 = n5
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (222), (2845) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2848) all_4_76 = n3
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (130), (2847), (2848) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2849) sum(n3, n5) = all_4_72
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (257), (2848) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2850) sum(n3, n0) = all_4_74
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (259), (2847) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2851) sum(n9, n5) = all_4_77
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (39), (2850) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2852) all_4_74 = n3
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (44), (2849) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2853) all_4_72 = n8
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (110), (2851) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2854) all_4_77 = n3
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (129), (2852), (2854) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2855) sum(n3, n3) = all_4_99
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (261), (2853) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2856) sum(n9, n8) = all_4_98
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (42), (2855) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2857) all_4_99 = n6
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (113), (2856) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2858) all_4_98 = n6
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (232), (2858) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2859) pred(n6) = all_4_68
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (231), (2857) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2860) pred(n6) = all_4_71
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (201), (2858) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2861) succ(n6) = all_4_70
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (200), (2857) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2862) succ(n6) = all_4_67
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (193), (2862) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2863) all_4_67 = n7
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2861), (2862) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2864) all_4_67 = all_4_70
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (224), (2859) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2865) all_4_68 = n5
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2859), (2860) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2866) all_4_68 = all_4_71
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2863), (2864) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2867) all_4_70 = n7
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2865), (2866) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2868) all_4_71 = n5
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (137), (2863), (2865) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2869) sum(n5, n7) = all_4_66
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (136), (2865), (2867) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2870) sum(n5, n7) = all_4_64
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (134), (2863), (2868) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2871) sum(n5, n7) = all_4_65
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (133), (2867), (2868) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2872) sum(n5, n7) = all_4_69
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (68), (2871) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2873) all_4_65 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2869), (2871) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2874) all_4_65 = all_4_66
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2869), (2870) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2875) all_4_64 = all_4_66
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2870), (2872) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2876) all_4_64 = all_4_69
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2875), (2876) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2877) all_4_66 = all_4_69
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | SIMP: (2877) implies:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2878) all_4_66 = all_4_69
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2873), (2874) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2879) all_4_66 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | SIMP: (2879) implies:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2880) all_4_66 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2878), (2880) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2881) all_4_69 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2876), (2881) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2882) all_4_64 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (138), (2873), (2882) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2883) sum(n1, n1) = all_4_96
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (135), (2880), (2881) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2884) sum(n1, n1) = all_4_97
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (18), (2883) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2885) all_4_96 = n2
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2883), (2884) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2886) all_4_96 = all_4_97
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2885), (2886) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2887) all_4_97 = n2
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | SIMP: (2887) implies:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2888) all_4_97 = n2
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (234), (2885) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2889) pred(n2) = all_4_60
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (233), (2888) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2890) pred(n2) = all_4_63
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (203), (2885) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2891) succ(n2) = all_4_62
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (202), (2888) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2892) succ(n2) = all_4_59
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (189), (2892) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2893) all_4_59 = n3
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2891), (2892) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2894) all_4_59 = all_4_62
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (220), (2889) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2895) all_4_60 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2889), (2890) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2896) all_4_60 = all_4_63
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2893), (2894) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2897) all_4_62 = n3
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2895), (2896) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2898) all_4_63 = n1
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (143), (2893), (2895) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2899) sum(n1, n3) = all_4_58
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (142), (2895), (2897) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2900) sum(n1, n3) = all_4_56
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (140), (2893), (2898) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2901) sum(n1, n3) = all_4_57
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (139), (2897), (2898) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2902) sum(n1, n3) = all_4_61
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_57, n3, n1,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (20), (2901) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2903) all_4_57 = n4
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2899), (2901) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2904) all_4_57 = all_4_58
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2900), (2901) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2905) all_4_56 = all_4_57
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2900), (2902) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2906) all_4_56 = all_4_61
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2905), (2906) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2907) all_4_57 = all_4_61
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | SIMP: (2907) implies:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2908) all_4_57 = all_4_61
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2903), (2904) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2909) all_4_58 = n4
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2904), (2908) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2910) all_4_58 = all_4_61
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2909), (2910) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2911) all_4_61 = n4
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2906), (2911) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2912) all_4_56 = n4
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (144), (2903), (2912) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2913) sum(n4, n4) = all_4_94
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (141), (2909), (2911) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2914) sum(n4, n4) = all_4_95
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (54), (2913) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2915) all_4_94 = n8
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (2913), (2914) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2916) all_4_94 = all_4_95
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (2915), (2916) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2917) all_4_95 = n8
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (236), (2915) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2918) pred(n8) = all_4_52
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (235), (2917) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2919) pred(n8) = all_4_55
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (205), (2915) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2920) succ(n8) = all_4_54
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REDUCE: (204), (2917) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2921) succ(n8) = all_4_51
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 254.91/64.54 | | | | | | | | | | | | | | | | simplifying with (195), (2921) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | (2922) all_4_51 = n9
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (145), (146), (147),
% 254.91/64.54 | | | | | | | | | | | | | | | | (148), (149), (150), (226), (2843), (2918),
% 254.91/64.54 | | | | | | | | | | | | | | | | (2919), (2920), (2921), (2922) are inconsistent by
% 254.91/64.54 | | | | | | | | | | | | | | | | sub-proof #113.
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | Case 2:
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | (2923) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 254.91/64.54 | | | | | | | | | | | | | | | | all_4_100 = n0
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | BETA: splitting (2923) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | Case 1:
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2924) all_4_100 = n3
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | REDUCE: (230), (2924) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2925) pred(n3) = all_4_76
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | REDUCE: (199), (2924) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2926) succ(n3) = all_4_78
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 254.91/64.54 | | | | | | | | | | | | | | | | | simplifying with (190), (2926) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2927) all_4_78 = n4
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 254.91/64.54 | | | | | | | | | | | | | | | | | simplifying with (221), (2925) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2928) all_4_76 = n2
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | REDUCE: (130), (2927), (2928) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2929) sum(n2, n4) = all_4_72
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | REDUCE: (257), (2928) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2930) sum(n2, n0) = all_4_74
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | REDUCE: (259), (2927) imply:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2931) sum(n9, n4) = all_4_77
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 254.91/64.54 | | | | | | | | | | | | | | | | | simplifying with (28), (2930) gives:
% 254.91/64.54 | | | | | | | | | | | | | | | | | (2932) all_4_74 = n2
% 254.91/64.54 | | | | | | | | | | | | | | | | |
% 254.91/64.54 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 254.91/64.54 | | | | | | | | | | | | | | | | | simplifying with (32), (2929) gives:
% 254.91/64.55 | | | | | | | | | | | | | | | | | (2933) all_4_72 = n6
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 254.91/64.55 | | | | | | | | | | | | | | | | | simplifying with (109), (2931) gives:
% 254.91/64.55 | | | | | | | | | | | | | | | | | (2934) all_4_77 = n2
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | | REDUCE: (129), (2932), (2934) imply:
% 254.91/64.55 | | | | | | | | | | | | | | | | | (2935) sum(n2, n2) = all_4_99
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | | REDUCE: (261), (2933) imply:
% 254.91/64.55 | | | | | | | | | | | | | | | | | (2936) sum(n9, n6) = all_4_98
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 254.91/64.55 | | | | | | | | | | | | | | | | | simplifying with (30), (2935) gives:
% 254.91/64.55 | | | | | | | | | | | | | | | | | (2937) all_4_99 = n4
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 254.91/64.55 | | | | | | | | | | | | | | | | | simplifying with (111), (2936) gives:
% 254.91/64.55 | | | | | | | | | | | | | | | | | (2938) all_4_98 = n4
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 254.91/64.55 | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 254.91/64.55 | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 254.91/64.55 | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 254.91/64.55 | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 254.91/64.55 | | | | | | | | | | | | | | | | | (222), (223), (227), (231), (232), (233), (234),
% 254.91/64.55 | | | | | | | | | | | | | | | | | (235), (236), (2843), (2937), (2938) are
% 254.91/64.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 254.91/64.55 | | | | | | | | | | | | | | | | Case 2:
% 254.91/64.55 | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | (2939) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | BETA: splitting (2939) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2940) all_4_100 = n2
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (230), (2940) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2941) pred(n2) = all_4_76
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (199), (2940) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2942) succ(n2) = all_4_78
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (189), (2942) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2943) all_4_78 = n3
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (220), (2941) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2944) all_4_76 = n1
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (130), (2943), (2944) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2945) sum(n1, n3) = all_4_72
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (257), (2944) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2946) sum(n1, n0) = all_4_74
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (259), (2943) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2947) sum(n9, n3) = all_4_77
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (17), (2946) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2948) all_4_74 = n1
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (20), (2945) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2949) all_4_72 = n4
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (108), (2947) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2950) all_4_77 = n1
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (129), (2948), (2950) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2951) sum(n1, n1) = all_4_99
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REDUCE: (261), (2949) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2952) sum(n9, n4) = all_4_98
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (18), (2951) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2953) all_4_99 = n2
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | simplifying with (109), (2952) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2954) all_4_98 = n2
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (220), (226), (228), (231), (232), (233), (234),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (235), (236), (2843), (2953), (2954) are
% 255.02/64.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | (2955) all_4_100 = n1 | all_4_100 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | BETA: splitting (2955) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2956) all_4_100 = n1
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (2956) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2957) pred(n1) = all_4_76
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (2956) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2958) succ(n1) = all_4_78
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (188), (2958) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2959) all_4_78 = n2
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (219), (2957) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2960) all_4_76 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2959), (2960) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2961) sum(n0, n2) = all_4_72
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (257), (2960) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2962) sum(n0, n0) = all_4_74
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (259), (2959) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2963) sum(n9, n2) = all_4_77
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (6), (2962) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2964) all_4_74 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (8), (2961) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2965) all_4_72 = n2
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (107), (2963) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2966) all_4_77 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (2964), (2966) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2967) sum(n0, n0) = all_4_99
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (261), (2965) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2968) sum(n9, n2) = all_4_98
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (6), (2967) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2969) all_4_99 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (107), (2968) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2970) all_4_98 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2843), (2967), (2969), (2970) are inconsistent by
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | sub-proof #108.
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2971) all_4_100 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (2971) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2972) pred(n0) = all_4_76
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (2971) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2973) succ(n0) = all_4_78
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (187), (2973) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2974) all_4_78 = n1
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (218), (2972) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2975) all_4_76 = n10
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2974), (2975) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2976) sum(n10, n1) = all_4_72
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (257), (2975) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2977) sum(n10, n0) = all_4_74
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (259), (2974) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2978) sum(n9, n1) = all_4_77
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (106), (2978) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2979) all_4_77 = n10
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (116), (2977) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2980) all_4_74 = n10
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (117), (2976) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2981) all_4_72 = n0
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (2979), (2980) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2982) sum(n10, n10) = all_4_99
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REDUCE: (261), (2981) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2983) sum(n9, n0) = all_4_98
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | simplifying with (105), (2983) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (2984) all_4_98 = n9
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | (235), (236), (2843), (2982), (2984) are
% 255.02/64.55 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 255.02/64.55 | | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.55 | | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | | End of split
% 255.02/64.55 | | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | End of split
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | End of split
% 255.02/64.55 | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | Case 2:
% 255.02/64.55 | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | (2985) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 255.02/64.55 | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 255.02/64.55 | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | BETA: splitting (2842) gives:
% 255.02/64.55 | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | Case 1:
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | (2986) all_4_100 = n4
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (230), (2986) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2987) pred(n4) = all_4_76
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (199), (2986) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2988) succ(n4) = all_4_78
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (191), (2988) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2989) all_4_78 = n5
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (222), (2987) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2990) all_4_76 = n3
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (130), (2989), (2990) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2991) sum(n3, n5) = all_4_72
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (257), (2990) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2992) sum(n3, n0) = all_4_74
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (259), (2989) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2993) sum(n9, n5) = all_4_77
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n0, n3,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (39), (2992) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2994) all_4_74 = n3
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (44), (2991) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2995) all_4_72 = n8
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n5, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (110), (2993) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2996) all_4_77 = n3
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (129), (2994), (2996) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2997) sum(n3, n3) = all_4_99
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (261), (2995) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2998) sum(n9, n8) = all_4_98
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (42), (2997) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (2999) all_4_99 = n6
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n8, n9,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (113), (2998) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3000) all_4_98 = n6
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (232), (3000) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3001) pred(n6) = all_4_68
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (231), (2999) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3002) pred(n6) = all_4_71
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (201), (3000) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3003) succ(n6) = all_4_70
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (200), (2999) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3004) succ(n6) = all_4_67
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (193), (3004) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3005) all_4_67 = n7
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (3003), (3004) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3006) all_4_67 = all_4_70
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (224), (3001) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3007) all_4_68 = n5
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 255.02/64.55 | | | | | | | | | | | | | | | | simplifying with (3001), (3002) gives:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3008) all_4_68 = all_4_71
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (3005), (3006) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3009) all_4_70 = n7
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | SIMP: (3009) implies:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3010) all_4_70 = n7
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (3007), (3008) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3011) all_4_71 = n5
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (137), (3005), (3007) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3012) sum(n5, n7) = all_4_66
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (136), (3007), (3010) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3013) sum(n5, n7) = all_4_64
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.55 | | | | | | | | | | | | | | | | REDUCE: (134), (3005), (3011) imply:
% 255.02/64.55 | | | | | | | | | | | | | | | | (3014) sum(n5, n7) = all_4_65
% 255.02/64.55 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (133), (3010), (3011) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3015) sum(n5, n7) = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 255.02/64.56 | | | | | | | | | | | | | | | | simplifying with (68), (3014) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3016) all_4_65 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 255.02/64.56 | | | | | | | | | | | | | | | | simplifying with (3012), (3014) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3017) all_4_65 = all_4_66
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 255.02/64.56 | | | | | | | | | | | | | | | | simplifying with (3012), (3013) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3018) all_4_64 = all_4_66
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 255.02/64.56 | | | | | | | | | | | | | | | | simplifying with (3013), (3015) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3019) all_4_64 = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (3018), (3019) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3020) all_4_66 = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | SIMP: (3020) implies:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3021) all_4_66 = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (3016), (3017) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3022) all_4_66 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | SIMP: (3022) implies:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3023) all_4_66 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (3021), (3023) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3024) all_4_69 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (3019), (3024) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3025) all_4_64 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (138), (3016), (3025) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3026) sum(n1, n1) = all_4_96
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (135), (3023), (3024) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3027) sum(n1, n1) = all_4_97
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | simplifying with (18), (3026) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3028) all_4_96 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | simplifying with (3026), (3027) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3029) all_4_96 = all_4_97
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (3028), (3029) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3030) all_4_97 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (234), (3028) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3031) pred(n2) = all_4_60
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (233), (3030) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3032) pred(n2) = all_4_63
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (203), (3028) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3033) succ(n2) = all_4_62
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | REDUCE: (202), (3030) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | (3034) succ(n2) = all_4_59
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | BETA: splitting (2985) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | (3035) ~ (all_4_94 = all_4_95)
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 255.02/64.56 | | | | | | | | | | | | | | | | | simplifying with (189), (3034) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | (3036) all_4_59 = n3
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (139), (140), (141),
% 255.02/64.56 | | | | | | | | | | | | | | | | | (142), (143), (144), (220), (3031), (3032),
% 255.02/64.56 | | | | | | | | | | | | | | | | | (3033), (3034), (3035), (3036) are inconsistent by
% 255.02/64.56 | | | | | | | | | | | | | | | | | sub-proof #105.
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | (3037) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 255.02/64.56 | | | | | | | | | | | | | | | | | all_4_99)
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (2999), (3000), (3028), (3030), (3037) are
% 255.02/64.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | End of split
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | Case 2:
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | (3038) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.02/64.56 | | | | | | | | | | | | | | | | all_4_100 = n0
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | BETA: splitting (2985) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | (3039) ~ (all_4_94 = all_4_95)
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3040) all_4_100 = n3
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (230), (3040) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3041) pred(n3) = all_4_76
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (199), (3040) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3042) succ(n3) = all_4_78
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (190), (3042) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3043) all_4_78 = n4
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (221), (3041) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3044) all_4_76 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (130), (3043), (3044) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3045) sum(n2, n4) = all_4_72
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (257), (3044) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3046) sum(n2, n0) = all_4_74
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (259), (3043) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3047) sum(n9, n4) = all_4_77
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (28), (3046) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3048) all_4_74 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (32), (3045) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3049) all_4_72 = n6
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (109), (3047) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3050) all_4_77 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (129), (3048), (3050) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3051) sum(n2, n2) = all_4_99
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (261), (3049) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3052) sum(n9, n6) = all_4_98
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (30), (3051) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3053) all_4_99 = n4
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (111), (3052) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3054) all_4_98 = n4
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (232), (3054) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3055) pred(n4) = all_4_68
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (231), (3053) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3056) pred(n4) = all_4_71
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (201), (3054) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3057) succ(n4) = all_4_70
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (200), (3053) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3058) succ(n4) = all_4_67
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (191), (3058) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3059) all_4_67 = n5
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (3057), (3058) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3060) all_4_67 = all_4_70
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (222), (3055) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3061) all_4_68 = n3
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (3055), (3056) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3062) all_4_68 = all_4_71
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3059), (3060) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3063) all_4_70 = n5
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3061), (3062) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3064) all_4_71 = n3
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (137), (3059), (3061) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3065) sum(n3, n5) = all_4_66
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (136), (3061), (3063) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3066) sum(n3, n5) = all_4_64
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (134), (3059), (3064) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3067) sum(n3, n5) = all_4_65
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (133), (3063), (3064) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3068) sum(n3, n5) = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (44), (3067) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3069) all_4_65 = n8
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (3065), (3067) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3070) all_4_65 = all_4_66
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (3065), (3066) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3071) all_4_64 = all_4_66
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (3066), (3068) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3072) all_4_64 = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3071), (3072) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3073) all_4_66 = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | SIMP: (3073) implies:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3074) all_4_66 = all_4_69
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3069), (3070) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3075) all_4_66 = n8
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | SIMP: (3075) implies:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3076) all_4_66 = n8
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3074), (3076) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3077) all_4_69 = n8
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3072), (3077) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3078) all_4_64 = n8
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (138), (3069), (3078) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3079) sum(n8, n8) = all_4_96
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (135), (3076), (3077) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3080) sum(n8, n8) = all_4_97
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (102), (3079) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3081) all_4_96 = n5
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (3079), (3080) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3082) all_4_96 = all_4_97
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3081), (3082) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3083) all_4_97 = n5
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | SIMP: (3083) implies:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3084) all_4_97 = n5
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (234), (3081) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3085) pred(n5) = all_4_60
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (233), (3084) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3086) pred(n5) = all_4_63
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (203), (3081) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3087) succ(n5) = all_4_62
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REDUCE: (202), (3084) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3088) succ(n5) = all_4_59
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | simplifying with (192), (3088) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3089) all_4_59 = n6
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (56), (126), (139), (140), (141),
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (142), (143), (144), (223), (3039), (3085),
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3086), (3087), (3088), (3089) are inconsistent by
% 255.02/64.56 | | | | | | | | | | | | | | | | | | sub-proof #103.
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | (3090) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | BETA: splitting (3090) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3091) all_4_100 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3091) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3092) pred(n2) = all_4_76
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3091) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3093) succ(n2) = all_4_78
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (189), (3093) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3094) all_4_78 = n3
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (220), (3092) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3095) all_4_76 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3094), (3095) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3096) sum(n1, n3) = all_4_72
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3095) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3097) sum(n1, n0) = all_4_74
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3094) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3098) sum(n9, n3) = all_4_77
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (17), (3097) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3099) all_4_74 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (20), (3096) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3100) all_4_72 = n4
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (108), (3098) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3101) all_4_77 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3099), (3101) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3102) sum(n1, n1) = all_4_99
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3100) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3103) sum(n9, n4) = all_4_98
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (18), (3102) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3104) all_4_99 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | simplifying with (109), (3103) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3105) all_4_98 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (200),
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (226), (231), (232),
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (233), (234), (3039), (3104), (3105) are
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | (3106) all_4_100 = n1 | all_4_100 = n0
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (3106) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3107) all_4_100 = n1
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3107) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3108) pred(n1) = all_4_76
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3107) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3109) succ(n1) = all_4_78
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (3109) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3110) all_4_78 = n2
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (3108) gives:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3111) all_4_76 = n0
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3110), (3111) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3112) sum(n0, n2) = all_4_72
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3111) imply:
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | (3113) sum(n0, n0) = all_4_74
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3110) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3114) sum(n9, n2) = all_4_77
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (3113) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3115) all_4_74 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (3112) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3116) all_4_72 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3114) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3117) all_4_77 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3115), (3117) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3118) sum(n0, n0) = all_4_99
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3116) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3119) sum(n9, n2) = all_4_98
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (3118) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3120) all_4_99 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3119) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3121) all_4_98 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (144), (187), (200), (201), (202), (203), (218),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (3039), (3118),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3120), (3121) are inconsistent by sub-proof #100.
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3122) all_4_100 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3122) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3123) pred(n0) = all_4_76
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3122) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3124) succ(n0) = all_4_78
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (3124) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3125) all_4_78 = n1
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (3123) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3126) all_4_76 = n10
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3125), (3126) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3127) sum(n10, n1) = all_4_72
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3126) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3128) sum(n10, n0) = all_4_74
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3125) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3129) sum(n9, n1) = all_4_77
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (106), (3129) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3130) all_4_77 = n10
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (116), (3128) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3131) all_4_74 = n10
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (3127) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3132) all_4_72 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3130), (3131) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3133) sum(n10, n10) = all_4_99
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3132) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3134) sum(n9, n0) = all_4_98
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (105), (3134) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3135) all_4_98 = n9
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (3039), (3133), (3135) are
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #98.
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | End of split
% 255.02/64.57 | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.57 | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | (3136) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 255.02/64.57 | | | | | | | | | | | | | | | | | all_4_99)
% 255.02/64.57 | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3137) all_4_100 = n3
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (230), (3137) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3138) pred(n3) = all_4_76
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (199), (3137) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3139) succ(n3) = all_4_78
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (190), (3139) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3140) all_4_78 = n4
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (221), (3138) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3141) all_4_76 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (130), (3140), (3141) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3142) sum(n2, n4) = all_4_72
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (257), (3141) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3143) sum(n2, n0) = all_4_74
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (259), (3140) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3144) sum(n9, n4) = all_4_77
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n0, n2,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (28), (3143) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3145) all_4_74 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (32), (3142) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3146) all_4_72 = n6
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n4, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (109), (3144) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3147) all_4_77 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (129), (3145), (3147) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3148) sum(n2, n2) = all_4_99
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (261), (3146) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3149) sum(n9, n6) = all_4_98
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (30), (3148) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3150) all_4_99 = n4
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n6, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | simplifying with (111), (3149) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3151) all_4_98 = n4
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (232), (3151) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3152) pred(n4) = all_4_68
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (231), (3150) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3153) pred(n4) = all_4_71
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (201), (3151) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3154) succ(n4) = all_4_70
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | REDUCE: (200), (3150) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3155) succ(n4) = all_4_67
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | BETA: splitting (3136) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (3156) ~ (all_4_96 = all_4_97)
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | simplifying with (191), (3155) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (3157) all_4_67 = n5
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (102), (133), (134), (135),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (136), (137), (138), (222), (3152), (3153),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (3154), (3155), (3156), (3157) are inconsistent by
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (3158) ~ (all_4_98 = all_4_99)
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | REDUCE: (3150), (3151), (3158) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (3159) $false
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | CLOSE: (3159) is inconsistent.
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | (3160) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | BETA: splitting (3136) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | (3161) ~ (all_4_96 = all_4_97)
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3162) all_4_100 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3162) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3163) pred(n2) = all_4_76
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3162) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3164) succ(n2) = all_4_78
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (3164) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3165) all_4_78 = n3
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (3163) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3166) all_4_76 = n1
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3165), (3166) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3167) sum(n1, n3) = all_4_72
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3166) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3168) sum(n1, n0) = all_4_74
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3165) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3169) sum(n9, n3) = all_4_77
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (3168) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3170) all_4_74 = n1
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (3167) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3171) all_4_72 = n4
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (108), (3169) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3172) all_4_77 = n1
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3170), (3172) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3173) sum(n1, n1) = all_4_99
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3171) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3174) sum(n9, n4) = all_4_98
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (18), (3173) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3175) all_4_99 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (109), (3174) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3176) all_4_98 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (3176) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3177) pred(n2) = all_4_68
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (3175) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3178) pred(n2) = all_4_71
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (3176) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3179) succ(n2) = all_4_70
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (3175) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3180) succ(n2) = all_4_67
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (3180) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3181) all_4_67 = n3
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (133), (134), (135),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (220), (3161), (3177),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3178), (3179), (3180), (3181) are inconsistent by
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | (3182) all_4_100 = n1 | all_4_100 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3182) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3183) all_4_100 = n1
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3183) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3184) pred(n1) = all_4_76
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3183) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3185) succ(n1) = all_4_78
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (3185) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3186) all_4_78 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (3184) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3187) all_4_76 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3186), (3187) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3188) sum(n0, n2) = all_4_72
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3187) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3189) sum(n0, n0) = all_4_74
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3186) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3190) sum(n9, n2) = all_4_77
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (3189) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3191) all_4_74 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (3188) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3192) all_4_72 = n2
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3190) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3193) all_4_77 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3191), (3193) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3194) sum(n0, n0) = all_4_99
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3192) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3195) sum(n9, n2) = all_4_98
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (3194) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3196) all_4_99 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3195) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3197) all_4_98 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (137), (138), (187), (200), (201), (218), (231),
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (232), (3161), (3194), (3196), (3197) are
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3198) all_4_100 = n0
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3198) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3199) pred(n0) = all_4_76
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3198) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3200) succ(n0) = all_4_78
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (3200) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3201) all_4_78 = n1
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (3199) gives:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3202) all_4_76 = n10
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3201), (3202) imply:
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | (3203) sum(n10, n1) = all_4_72
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3202) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3204) sum(n10, n0) = all_4_74
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3201) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3205) sum(n9, n1) = all_4_77
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (3205) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3206) all_4_77 = n10
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (3204) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3207) all_4_74 = n10
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (3203) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3208) all_4_72 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3206), (3207) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3209) sum(n10, n10) = all_4_99
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3208) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3210) sum(n9, n0) = all_4_98
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (105), (3210) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3211) all_4_98 = n9
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (126), (133), (134),
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (196), (200), (201),
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (3161), (3209), (3211) are
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | (3212) ~ (all_4_98 = all_4_99)
% 255.02/64.58 | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3213) all_4_100 = n2
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3213) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3214) pred(n2) = all_4_76
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3213) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3215) succ(n2) = all_4_78
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (3215) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3216) all_4_78 = n3
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (3214) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3217) all_4_76 = n1
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3216), (3217) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3218) sum(n1, n3) = all_4_72
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3217) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3219) sum(n1, n0) = all_4_74
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3216) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3220) sum(n9, n3) = all_4_77
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n0, n1,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (3219) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3221) all_4_74 = n1
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (3218) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3222) all_4_72 = n4
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n3, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (108), (3220) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3223) all_4_77 = n1
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3221), (3223) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3224) sum(n1, n1) = all_4_99
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3222) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3225) sum(n9, n4) = all_4_98
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (18), (3224) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3226) all_4_99 = n2
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n4, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | simplifying with (109), (3225) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3227) all_4_98 = n2
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (3212), (3226), (3227) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3228) $false
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (3228) is inconsistent.
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | (3229) all_4_100 = n1 | all_4_100 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3229) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3230) all_4_100 = n1
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3230) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3231) pred(n1) = all_4_76
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3230) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3232) succ(n1) = all_4_78
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (3232) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3233) all_4_78 = n2
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (3231) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3234) all_4_76 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3233), (3234) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3235) sum(n0, n2) = all_4_72
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3234) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3236) sum(n0, n0) = all_4_74
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3233) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3237) sum(n9, n2) = all_4_77
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n0, n0,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (3236) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3238) all_4_74 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (3235) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3239) all_4_72 = n2
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n2, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3237) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3240) all_4_77 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3238), (3240) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3241) sum(n0, n0) = all_4_99
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3239) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3242) sum(n9, n2) = all_4_98
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (3241) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3243) all_4_99 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n2, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3242) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3244) all_4_98 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3212), (3243), (3244) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3245) $false
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3245) is inconsistent.
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3246) all_4_100 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (3246) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3247) pred(n0) = all_4_76
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (3246) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3248) succ(n0) = all_4_78
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (3248) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3249) all_4_78 = n1
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (3247) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3250) all_4_76 = n10
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (3249), (3250) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3251) sum(n10, n1) = all_4_72
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3250) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3252) sum(n10, n0) = all_4_74
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (3249) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3253) sum(n9, n1) = all_4_77
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n1, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (3253) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3254) all_4_77 = n10
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n0, n10,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (3252) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3255) all_4_74 = n10
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (3251) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3256) all_4_72 = n0
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (3254), (3255) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3257) sum(n10, n10) = all_4_99
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (3256) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3258) sum(n9, n0) = all_4_98
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n0, n9,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (105), (3258) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3259) all_4_98 = n9
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (3257) gives:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3260) all_4_99 = n9
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3212), (3259), (3260) imply:
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | (3261) $false
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3261) is inconsistent.
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | | |
% 255.02/64.58 | | | | | | | | | End of split
% 255.02/64.58 | | | | | | | | |
% 255.02/64.58 | | | | | | | | End of split
% 255.02/64.58 | | | | | | | |
% 255.02/64.58 | | | | | | | End of split
% 255.02/64.58 | | | | | | |
% 255.02/64.58 | | | | | | End of split
% 255.02/64.58 | | | | | |
% 255.02/64.58 | | | | | End of split
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | End of split
% 255.02/64.58 | | | |
% 255.02/64.58 | | | End of split
% 255.02/64.58 | | |
% 255.02/64.58 | | End of split
% 255.02/64.58 | |
% 255.02/64.58 | Case 2:
% 255.02/64.58 | |
% 255.02/64.58 | | (3262) all_4_101 = n9 | all_4_101 = n8 | all_4_101 = n7 | all_4_101 = n6
% 255.02/64.58 | | | all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 | all_4_101 =
% 255.02/64.58 | | n2 | all_4_101 = n1 | all_4_101 = n0
% 255.02/64.58 | |
% 255.02/64.58 | | BETA: splitting (251) gives:
% 255.02/64.58 | |
% 255.02/64.58 | | Case 1:
% 255.02/64.58 | | |
% 255.02/64.58 | | | (3263) ~ (all_4_80 = all_4_81)
% 255.02/64.58 | | |
% 255.02/64.58 | | | BETA: splitting (250) gives:
% 255.02/64.58 | | |
% 255.02/64.58 | | | Case 1:
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | (3264) all_4_100 = n10
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | REDUCE: (230), (3264) imply:
% 255.02/64.58 | | | | (3265) pred(n10) = all_4_76
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | REDUCE: (199), (3264) imply:
% 255.02/64.58 | | | | (3266) succ(n10) = all_4_78
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | GROUND_INST: instantiating (2) with n0, all_4_78, n10, simplifying with
% 255.02/64.58 | | | | (197), (3266) gives:
% 255.02/64.58 | | | | (3267) all_4_78 = n0
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | GROUND_INST: instantiating (3) with n9, all_4_76, n10, simplifying with
% 255.02/64.58 | | | | (228), (3265) gives:
% 255.02/64.58 | | | | (3268) all_4_76 = n9
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | REDUCE: (131), (3268) imply:
% 255.02/64.58 | | | | (3269) sum(n9, all_4_75) = all_4_74
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | REDUCE: (130), (3267), (3268) imply:
% 255.02/64.58 | | | | (3270) sum(n9, n0) = all_4_72
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | REDUCE: (127), (3267) imply:
% 255.02/64.58 | | | | (3271) sum(all_4_79, n0) = all_4_77
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | GROUND_INST: instantiating (4) with n9, all_4_72, n0, n9, simplifying
% 255.02/64.58 | | | | with (105), (3270) gives:
% 255.02/64.58 | | | | (3272) all_4_72 = n9
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | REDUCE: (132), (3272) imply:
% 255.02/64.58 | | | | (3273) sum(all_4_73, n9) = all_4_98
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | BETA: splitting (3262) gives:
% 255.02/64.58 | | | |
% 255.02/64.58 | | | | Case 1:
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | (3274) all_4_101 = n9
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (229), (3274) imply:
% 255.02/64.58 | | | | | (3275) pred(n9) = all_4_79
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (198), (3274) imply:
% 255.02/64.58 | | | | | (3276) succ(n9) = all_4_75
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (2) with n10, all_4_75, n9, simplifying
% 255.02/64.58 | | | | | with (196), (3276) gives:
% 255.02/64.58 | | | | | (3277) all_4_75 = n10
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (3) with n8, all_4_79, n9, simplifying with
% 255.02/64.58 | | | | | (227), (3275) gives:
% 255.02/64.58 | | | | | (3278) all_4_79 = n8
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (128), (3277), (3278) imply:
% 255.02/64.58 | | | | | (3279) sum(n8, n10) = all_4_73
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (3271), (3278) imply:
% 255.02/64.58 | | | | | (3280) sum(n8, n0) = all_4_77
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (3269), (3277) imply:
% 255.02/64.58 | | | | | (3281) sum(n9, n10) = all_4_74
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n0, n8, simplifying
% 255.02/64.58 | | | | | with (94), (3280) gives:
% 255.02/64.58 | | | | | (3282) all_4_77 = n8
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (4) with n7, all_4_73, n10, n8, simplifying
% 255.02/64.58 | | | | | with (104), (3279) gives:
% 255.02/64.58 | | | | | (3283) all_4_73 = n7
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n10, n9, simplifying
% 255.02/64.58 | | | | | with (115), (3281) gives:
% 255.02/64.58 | | | | | (3284) all_4_74 = n8
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (3273), (3283) imply:
% 255.02/64.58 | | | | | (3285) sum(n7, n9) = all_4_98
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REDUCE: (129), (3282), (3284) imply:
% 255.02/64.58 | | | | | (3286) sum(n8, n8) = all_4_99
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n9, n7, simplifying
% 255.02/64.58 | | | | | with (92), (3285) gives:
% 255.02/64.58 | | | | | (3287) all_4_98 = n5
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8, simplifying
% 255.02/64.58 | | | | | with (102), (3286) gives:
% 255.02/64.58 | | | | | (3288) all_4_99 = n5
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78), (90),
% 255.02/64.58 | | | | | (104), (126), (133), (134), (135), (136), (137), (138),
% 255.02/64.58 | | | | | (139), (140), (141), (142), (143), (144), (145), (146),
% 255.02/64.58 | | | | | (147), (148), (149), (150), (151), (152), (153), (154),
% 255.02/64.58 | | | | | (155), (156), (157), (158), (159), (160), (161), (162),
% 255.02/64.58 | | | | | (163), (164), (165), (166), (167), (168), (169), (170),
% 255.02/64.58 | | | | | (171), (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.58 | | | | | (179), (180), (181), (182), (183), (184), (185), (186),
% 255.02/64.58 | | | | | (188), (190), (191), (192), (196), (200), (201), (202),
% 255.02/64.58 | | | | | (203), (204), (205), (206), (207), (208), (209), (210),
% 255.02/64.58 | | | | | (211), (212), (213), (214), (215), (216), (217), (219),
% 255.02/64.58 | | | | | (221), (222), (223), (227), (231), (232), (233), (234),
% 255.02/64.58 | | | | | (235), (236), (237), (238), (239), (240), (241), (242),
% 255.02/64.58 | | | | | (243), (244), (245), (246), (247), (248), (3263), (3286),
% 255.02/64.58 | | | | | (3287), (3288) are inconsistent by sub-proof #210.
% 255.02/64.58 | | | | |
% 255.02/64.58 | | | | Case 2:
% 255.02/64.58 | | | | |
% 255.02/64.59 | | | | | (3289) all_4_101 = n8 | all_4_101 = n7 | all_4_101 = n6 | all_4_101
% 255.02/64.59 | | | | | = n5 | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.02/64.59 | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.02/64.59 | | | | |
% 255.02/64.59 | | | | | BETA: splitting (3289) gives:
% 255.02/64.59 | | | | |
% 255.02/64.59 | | | | | Case 1:
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | (3290) all_4_101 = n8
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (229), (3290) imply:
% 255.02/64.59 | | | | | | (3291) pred(n8) = all_4_79
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (198), (3290) imply:
% 255.02/64.59 | | | | | | (3292) succ(n8) = all_4_75
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8, simplifying
% 255.02/64.59 | | | | | | with (195), (3292) gives:
% 255.02/64.59 | | | | | | (3293) all_4_75 = n9
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8, simplifying
% 255.02/64.59 | | | | | | with (226), (3291) gives:
% 255.02/64.59 | | | | | | (3294) all_4_79 = n7
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (128), (3293), (3294) imply:
% 255.02/64.59 | | | | | | (3295) sum(n7, n9) = all_4_73
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (3271), (3294) imply:
% 255.02/64.59 | | | | | | (3296) sum(n7, n0) = all_4_77
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (3269), (3293) imply:
% 255.02/64.59 | | | | | | (3297) sum(n9, n9) = all_4_74
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n0, n7,
% 255.02/64.59 | | | | | | simplifying with (83), (3296) gives:
% 255.02/64.59 | | | | | | (3298) all_4_77 = n7
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 255.02/64.59 | | | | | | simplifying with (92), (3295) gives:
% 255.02/64.59 | | | | | | (3299) all_4_73 = n5
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n9, n9,
% 255.02/64.59 | | | | | | simplifying with (114), (3297) gives:
% 255.02/64.59 | | | | | | (3300) all_4_74 = n7
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (3273), (3299) imply:
% 255.02/64.59 | | | | | | (3301) sum(n5, n9) = all_4_98
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REDUCE: (129), (3298), (3300) imply:
% 255.02/64.59 | | | | | | (3302) sum(n7, n7) = all_4_99
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n9, n5,
% 255.02/64.59 | | | | | | simplifying with (70), (3301) gives:
% 255.02/64.59 | | | | | | (3303) all_4_98 = n3
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 255.02/64.59 | | | | | | simplifying with (90), (3302) gives:
% 255.02/64.59 | | | | | | (3304) all_4_99 = n3
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78), (102),
% 255.02/64.59 | | | | | | (104), (126), (133), (134), (135), (136), (137), (138),
% 255.02/64.59 | | | | | | (139), (140), (141), (142), (143), (144), (145), (146),
% 255.02/64.59 | | | | | | (147), (148), (149), (150), (151), (152), (153), (154),
% 255.02/64.59 | | | | | | (155), (156), (157), (158), (159), (160), (161), (162),
% 255.02/64.59 | | | | | | (163), (164), (165), (166), (167), (168), (169), (170),
% 255.02/64.59 | | | | | | (171), (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.59 | | | | | | (179), (180), (181), (182), (183), (184), (185), (186),
% 255.02/64.59 | | | | | | (188), (190), (191), (192), (196), (200), (201), (202),
% 255.02/64.59 | | | | | | (203), (204), (205), (206), (207), (208), (209), (210),
% 255.02/64.59 | | | | | | (211), (212), (213), (214), (215), (216), (217), (219),
% 255.02/64.59 | | | | | | (221), (222), (223), (227), (231), (232), (233), (234),
% 255.02/64.59 | | | | | | (235), (236), (237), (238), (239), (240), (241), (242),
% 255.02/64.59 | | | | | | (243), (244), (245), (246), (247), (248), (3263), (3302),
% 255.02/64.59 | | | | | | (3303), (3304) are inconsistent by sub-proof #209.
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | Case 2:
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | (3305) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 255.02/64.59 | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.02/64.59 | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | BETA: splitting (3305) gives:
% 255.02/64.59 | | | | | |
% 255.02/64.59 | | | | | | Case 1:
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | (3306) all_4_101 = n7
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (229), (3306) imply:
% 255.02/64.59 | | | | | | | (3307) pred(n7) = all_4_79
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (198), (3306) imply:
% 255.02/64.59 | | | | | | | (3308) succ(n7) = all_4_75
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7, simplifying
% 255.02/64.59 | | | | | | | with (194), (3308) gives:
% 255.02/64.59 | | | | | | | (3309) all_4_75 = n8
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7, simplifying
% 255.02/64.59 | | | | | | | with (225), (3307) gives:
% 255.02/64.59 | | | | | | | (3310) all_4_79 = n6
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (128), (3309), (3310) imply:
% 255.02/64.59 | | | | | | | (3311) sum(n6, n8) = all_4_73
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (3271), (3310) imply:
% 255.02/64.59 | | | | | | | (3312) sum(n6, n0) = all_4_77
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (3269), (3309) imply:
% 255.02/64.59 | | | | | | | (3313) sum(n9, n8) = all_4_74
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n0, n6,
% 255.02/64.59 | | | | | | | simplifying with (72), (3312) gives:
% 255.02/64.59 | | | | | | | (3314) all_4_77 = n6
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 255.02/64.59 | | | | | | | simplifying with (80), (3311) gives:
% 255.02/64.59 | | | | | | | (3315) all_4_73 = n3
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n8, n9,
% 255.02/64.59 | | | | | | | simplifying with (113), (3313) gives:
% 255.02/64.59 | | | | | | | (3316) all_4_74 = n6
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (3273), (3315) imply:
% 255.02/64.59 | | | | | | | (3317) sum(n3, n9) = all_4_98
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REDUCE: (129), (3314), (3316) imply:
% 255.02/64.59 | | | | | | | (3318) sum(n6, n6) = all_4_99
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n9, n3,
% 255.02/64.59 | | | | | | | simplifying with (48), (3317) gives:
% 255.02/64.59 | | | | | | | (3319) all_4_98 = n1
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 255.02/64.59 | | | | | | | simplifying with (78), (3318) gives:
% 255.02/64.59 | | | | | | | (3320) all_4_99 = n1
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 255.02/64.59 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 255.02/64.59 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 255.02/64.59 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 255.02/64.59 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 255.02/64.59 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 255.02/64.59 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 255.02/64.59 | | | | | | | (178), (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.59 | | | | | | | (186), (188), (190), (191), (192), (196), (200), (201),
% 255.02/64.59 | | | | | | | (202), (203), (204), (205), (206), (207), (208), (209),
% 255.02/64.59 | | | | | | | (210), (211), (212), (213), (214), (215), (216), (217),
% 255.02/64.59 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 255.02/64.59 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 255.02/64.59 | | | | | | | (242), (243), (244), (245), (246), (247), (248),
% 255.02/64.59 | | | | | | | (3263), (3318), (3319), (3320) are inconsistent by
% 255.02/64.59 | | | | | | | sub-proof #208.
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | Case 2:
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | (3321) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 255.02/64.59 | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.02/64.59 | | | | | | | all_4_101 = n0
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | BETA: splitting (3321) gives:
% 255.02/64.59 | | | | | | |
% 255.02/64.59 | | | | | | | Case 1:
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | (3322) all_4_101 = n6
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (229), (3322) imply:
% 255.02/64.59 | | | | | | | | (3323) pred(n6) = all_4_79
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (198), (3322) imply:
% 255.02/64.59 | | | | | | | | (3324) succ(n6) = all_4_75
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 255.02/64.59 | | | | | | | | simplifying with (193), (3324) gives:
% 255.02/64.59 | | | | | | | | (3325) all_4_75 = n7
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 255.02/64.59 | | | | | | | | simplifying with (224), (3323) gives:
% 255.02/64.59 | | | | | | | | (3326) all_4_79 = n5
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (128), (3325), (3326) imply:
% 255.02/64.59 | | | | | | | | (3327) sum(n5, n7) = all_4_73
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (3271), (3326) imply:
% 255.02/64.59 | | | | | | | | (3328) sum(n5, n0) = all_4_77
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (3269), (3325) imply:
% 255.02/64.59 | | | | | | | | (3329) sum(n9, n7) = all_4_74
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n0, n5,
% 255.02/64.59 | | | | | | | | simplifying with (61), (3328) gives:
% 255.02/64.59 | | | | | | | | (3330) all_4_77 = n5
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 255.02/64.59 | | | | | | | | simplifying with (68), (3327) gives:
% 255.02/64.59 | | | | | | | | (3331) all_4_73 = n1
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n7, n9,
% 255.02/64.59 | | | | | | | | simplifying with (112), (3329) gives:
% 255.02/64.59 | | | | | | | | (3332) all_4_74 = n5
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (3273), (3331) imply:
% 255.02/64.59 | | | | | | | | (3333) sum(n1, n9) = all_4_98
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REDUCE: (129), (3330), (3332) imply:
% 255.02/64.59 | | | | | | | | (3334) sum(n5, n5) = all_4_99
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n9, n1,
% 255.02/64.59 | | | | | | | | simplifying with (26), (3333) gives:
% 255.02/64.59 | | | | | | | | (3335) all_4_98 = n10
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 255.02/64.59 | | | | | | | | simplifying with (66), (3334) gives:
% 255.02/64.59 | | | | | | | | (3336) all_4_99 = n10
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 255.02/64.59 | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.59 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.59 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.59 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.59 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.59 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.59 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.59 | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.59 | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.59 | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.59 | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.59 | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.59 | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.59 | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.59 | | | | | | | | (244), (245), (246), (247), (248), (3263), (3334),
% 255.02/64.59 | | | | | | | | (3335), (3336) are inconsistent by sub-proof #207.
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | Case 2:
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | (3337) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 255.02/64.59 | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | BETA: splitting (3337) gives:
% 255.02/64.59 | | | | | | | |
% 255.02/64.59 | | | | | | | | Case 1:
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | (3338) all_4_101 = n5
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (229), (3338) imply:
% 255.02/64.59 | | | | | | | | | (3339) pred(n5) = all_4_79
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (198), (3338) imply:
% 255.02/64.59 | | | | | | | | | (3340) succ(n5) = all_4_75
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 255.02/64.59 | | | | | | | | | simplifying with (192), (3340) gives:
% 255.02/64.59 | | | | | | | | | (3341) all_4_75 = n6
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 255.02/64.59 | | | | | | | | | simplifying with (223), (3339) gives:
% 255.02/64.59 | | | | | | | | | (3342) all_4_79 = n4
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (128), (3341), (3342) imply:
% 255.02/64.59 | | | | | | | | | (3343) sum(n4, n6) = all_4_73
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (3271), (3342) imply:
% 255.02/64.59 | | | | | | | | | (3344) sum(n4, n0) = all_4_77
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (3269), (3341) imply:
% 255.02/64.59 | | | | | | | | | (3345) sum(n9, n6) = all_4_74
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n0, n4,
% 255.02/64.59 | | | | | | | | | simplifying with (50), (3344) gives:
% 255.02/64.59 | | | | | | | | | (3346) all_4_77 = n4
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 255.02/64.59 | | | | | | | | | simplifying with (56), (3343) gives:
% 255.02/64.59 | | | | | | | | | (3347) all_4_73 = n10
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n6, n9,
% 255.02/64.59 | | | | | | | | | simplifying with (111), (3345) gives:
% 255.02/64.59 | | | | | | | | | (3348) all_4_74 = n4
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (3273), (3347) imply:
% 255.02/64.59 | | | | | | | | | (3349) sum(n10, n9) = all_4_98
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | REDUCE: (129), (3346), (3348) imply:
% 255.02/64.59 | | | | | | | | | (3350) sum(n4, n4) = all_4_99
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 255.02/64.59 | | | | | | | | | simplifying with (54), (3350) gives:
% 255.02/64.59 | | | | | | | | | (3351) all_4_99 = n8
% 255.02/64.59 | | | | | | | | |
% 255.02/64.59 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n9, n10,
% 255.02/64.59 | | | | | | | | | simplifying with (125), (3349) gives:
% 255.02/64.59 | | | | | | | | | (3352) all_4_98 = n8
% 255.02/64.59 | | | | | | | | |
% 255.02/64.60 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 255.02/64.60 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.60 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.60 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.60 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.60 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.60 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.60 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.60 | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.60 | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.60 | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.60 | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.60 | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.60 | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.60 | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.60 | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3350),
% 255.02/64.60 | | | | | | | | | (3351), (3352) are inconsistent by sub-proof #206.
% 255.02/64.60 | | | | | | | | |
% 255.02/64.60 | | | | | | | | Case 2:
% 255.02/64.60 | | | | | | | | |
% 255.02/64.60 | | | | | | | | | (3353) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.02/64.60 | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.02/64.60 | | | | | | | | |
% 255.02/64.60 | | | | | | | | | BETA: splitting (3353) gives:
% 255.02/64.60 | | | | | | | | |
% 255.02/64.60 | | | | | | | | | Case 1:
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | (3354) all_4_101 = n4
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (229), (3354) imply:
% 255.02/64.60 | | | | | | | | | | (3355) pred(n4) = all_4_79
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (198), (3354) imply:
% 255.02/64.60 | | | | | | | | | | (3356) succ(n4) = all_4_75
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 255.02/64.60 | | | | | | | | | | simplifying with (191), (3356) gives:
% 255.02/64.60 | | | | | | | | | | (3357) all_4_75 = n5
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 255.02/64.60 | | | | | | | | | | simplifying with (222), (3355) gives:
% 255.02/64.60 | | | | | | | | | | (3358) all_4_79 = n3
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (128), (3357), (3358) imply:
% 255.02/64.60 | | | | | | | | | | (3359) sum(n3, n5) = all_4_73
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (3271), (3358) imply:
% 255.02/64.60 | | | | | | | | | | (3360) sum(n3, n0) = all_4_77
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (3269), (3357) imply:
% 255.02/64.60 | | | | | | | | | | (3361) sum(n9, n5) = all_4_74
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 255.02/64.60 | | | | | | | | | | simplifying with (39), (3360) gives:
% 255.02/64.60 | | | | | | | | | | (3362) all_4_77 = n3
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 255.02/64.60 | | | | | | | | | | simplifying with (44), (3359) gives:
% 255.02/64.60 | | | | | | | | | | (3363) all_4_73 = n8
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 255.02/64.60 | | | | | | | | | | simplifying with (110), (3361) gives:
% 255.02/64.60 | | | | | | | | | | (3364) all_4_74 = n3
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (3273), (3363) imply:
% 255.02/64.60 | | | | | | | | | | (3365) sum(n8, n9) = all_4_98
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REDUCE: (129), (3362), (3364) imply:
% 255.02/64.60 | | | | | | | | | | (3366) sum(n3, n3) = all_4_99
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 255.02/64.60 | | | | | | | | | | simplifying with (42), (3366) gives:
% 255.02/64.60 | | | | | | | | | | (3367) all_4_99 = n6
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 255.02/64.60 | | | | | | | | | | simplifying with (103), (3365) gives:
% 255.02/64.60 | | | | | | | | | | (3368) all_4_98 = n6
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 255.02/64.60 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.60 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.60 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.60 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.60 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.60 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.60 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.60 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.60 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.60 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.60 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.60 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.60 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.60 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.60 | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3366),
% 255.02/64.60 | | | | | | | | | | (3367), (3368) are inconsistent by sub-proof #205.
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | Case 2:
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | (3369) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.02/64.60 | | | | | | | | | | all_4_101 = n0
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | BETA: splitting (3369) gives:
% 255.02/64.60 | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | Case 1:
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | (3370) all_4_101 = n3
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (229), (3370) imply:
% 255.02/64.60 | | | | | | | | | | | (3371) pred(n3) = all_4_79
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (198), (3370) imply:
% 255.02/64.60 | | | | | | | | | | | (3372) succ(n3) = all_4_75
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 255.02/64.60 | | | | | | | | | | | simplifying with (190), (3372) gives:
% 255.02/64.60 | | | | | | | | | | | (3373) all_4_75 = n4
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 255.02/64.60 | | | | | | | | | | | simplifying with (221), (3371) gives:
% 255.02/64.60 | | | | | | | | | | | (3374) all_4_79 = n2
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (128), (3373), (3374) imply:
% 255.02/64.60 | | | | | | | | | | | (3375) sum(n2, n4) = all_4_73
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (3271), (3374) imply:
% 255.02/64.60 | | | | | | | | | | | (3376) sum(n2, n0) = all_4_77
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (3269), (3373) imply:
% 255.02/64.60 | | | | | | | | | | | (3377) sum(n9, n4) = all_4_74
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 255.02/64.60 | | | | | | | | | | | simplifying with (28), (3376) gives:
% 255.02/64.60 | | | | | | | | | | | (3378) all_4_77 = n2
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 255.02/64.60 | | | | | | | | | | | simplifying with (32), (3375) gives:
% 255.02/64.60 | | | | | | | | | | | (3379) all_4_73 = n6
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 255.02/64.60 | | | | | | | | | | | simplifying with (109), (3377) gives:
% 255.02/64.60 | | | | | | | | | | | (3380) all_4_74 = n2
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (3273), (3379) imply:
% 255.02/64.60 | | | | | | | | | | | (3381) sum(n6, n9) = all_4_98
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REDUCE: (129), (3378), (3380) imply:
% 255.02/64.60 | | | | | | | | | | | (3382) sum(n2, n2) = all_4_99
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.02/64.60 | | | | | | | | | | | simplifying with (30), (3382) gives:
% 255.02/64.60 | | | | | | | | | | | (3383) all_4_99 = n4
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 255.02/64.60 | | | | | | | | | | | simplifying with (81), (3381) gives:
% 255.02/64.60 | | | | | | | | | | | (3384) all_4_98 = n4
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.02/64.60 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.02/64.60 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.60 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.60 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.60 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.60 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.60 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.60 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.60 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.02/64.60 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.60 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.60 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.02/64.60 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.02/64.60 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.60 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3382),
% 255.02/64.60 | | | | | | | | | | | (3383), (3384) are inconsistent by sub-proof #204.
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | Case 2:
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | (3385) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | BETA: splitting (3385) gives:
% 255.02/64.60 | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | Case 1:
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | (3386) all_4_101 = n2
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (229), (3386) imply:
% 255.02/64.60 | | | | | | | | | | | | (3387) pred(n2) = all_4_79
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (198), (3386) imply:
% 255.02/64.60 | | | | | | | | | | | | (3388) succ(n2) = all_4_75
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (189), (3388) gives:
% 255.02/64.60 | | | | | | | | | | | | (3389) all_4_75 = n3
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (220), (3387) gives:
% 255.02/64.60 | | | | | | | | | | | | (3390) all_4_79 = n1
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (128), (3389), (3390) imply:
% 255.02/64.60 | | | | | | | | | | | | (3391) sum(n1, n3) = all_4_73
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (3271), (3390) imply:
% 255.02/64.60 | | | | | | | | | | | | (3392) sum(n1, n0) = all_4_77
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (3269), (3389) imply:
% 255.02/64.60 | | | | | | | | | | | | (3393) sum(n9, n3) = all_4_74
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (17), (3392) gives:
% 255.02/64.60 | | | | | | | | | | | | (3394) all_4_77 = n1
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (20), (3391) gives:
% 255.02/64.60 | | | | | | | | | | | | (3395) all_4_73 = n4
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (108), (3393) gives:
% 255.02/64.60 | | | | | | | | | | | | (3396) all_4_74 = n1
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (3273), (3395) imply:
% 255.02/64.60 | | | | | | | | | | | | (3397) sum(n4, n9) = all_4_98
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REDUCE: (129), (3394), (3396) imply:
% 255.02/64.60 | | | | | | | | | | | | (3398) sum(n1, n1) = all_4_99
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (18), (3398) gives:
% 255.02/64.60 | | | | | | | | | | | | (3399) all_4_99 = n2
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 255.02/64.60 | | | | | | | | | | | | simplifying with (59), (3397) gives:
% 255.02/64.60 | | | | | | | | | | | | (3400) all_4_98 = n2
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.02/64.60 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.60 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.60 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.60 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.60 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.60 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.60 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.60 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.60 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.60 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.60 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.60 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.60 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.60 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.60 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3398),
% 255.02/64.60 | | | | | | | | | | | | (3399), (3400) are inconsistent by sub-proof #203.
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | Case 2:
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | (3401) all_4_101 = n1 | all_4_101 = n0
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | BETA: splitting (3401) gives:
% 255.02/64.60 | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | Case 1:
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | (3402) all_4_101 = n1
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (229), (3402) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3403) pred(n1) = all_4_79
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (198), (3402) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3404) succ(n1) = all_4_75
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (188), (3404) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3405) all_4_75 = n2
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (219), (3403) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3406) all_4_79 = n0
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (128), (3405), (3406) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3407) sum(n0, n2) = all_4_73
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (3271), (3406) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3408) sum(n0, n0) = all_4_77
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (3269), (3405) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3409) sum(n9, n2) = all_4_74
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (6), (3408) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3410) all_4_77 = n0
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (8), (3407) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3411) all_4_73 = n2
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (107), (3409) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3412) all_4_74 = n0
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (3273), (3411) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3413) sum(n2, n9) = all_4_98
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | REDUCE: (129), (3410), (3412) imply:
% 255.02/64.60 | | | | | | | | | | | | | (3414) sum(n0, n0) = all_4_99
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (6), (3414) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3415) all_4_99 = n0
% 255.02/64.60 | | | | | | | | | | | | |
% 255.02/64.60 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 255.02/64.60 | | | | | | | | | | | | | simplifying with (37), (3413) gives:
% 255.02/64.60 | | | | | | | | | | | | | (3416) all_4_98 = n0
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.02/64.61 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.61 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.61 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.61 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.61 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.61 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.61 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.61 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.02/64.61 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.02/64.61 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.02/64.61 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.02/64.61 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.02/64.61 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (3414),
% 255.02/64.61 | | | | | | | | | | | | | (3415), (3416) are inconsistent by sub-proof #201.
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | Case 2:
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | (3417) all_4_101 = n0
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (229), (3417) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3418) pred(n0) = all_4_79
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (198), (3417) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3419) succ(n0) = all_4_75
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (187), (3419) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3420) all_4_75 = n1
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (218), (3418) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3421) all_4_79 = n10
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (128), (3420), (3421) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3422) sum(n10, n1) = all_4_73
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (3271), (3421) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3423) sum(n10, n0) = all_4_77
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (3269), (3420) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3424) sum(n9, n1) = all_4_74
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (106), (3424) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3425) all_4_74 = n10
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (116), (3423) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3426) all_4_77 = n10
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (117), (3422) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3427) all_4_73 = n0
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (3273), (3427) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3428) sum(n0, n9) = all_4_98
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REDUCE: (129), (3425), (3426) imply:
% 255.02/64.61 | | | | | | | | | | | | | (3429) sum(n10, n10) = all_4_99
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (15), (3428) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3430) all_4_98 = n9
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.02/64.61 | | | | | | | | | | | | | simplifying with (126), (3429) gives:
% 255.02/64.61 | | | | | | | | | | | | | (3431) all_4_99 = n9
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.02/64.61 | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.02/64.61 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.61 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.61 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.61 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.61 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.61 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.61 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.61 | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.02/64.61 | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.61 | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.61 | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.02/64.61 | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.02/64.61 | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.61 | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3429),
% 255.02/64.61 | | | | | | | | | | | | | (3430), (3431) are inconsistent by sub-proof #200.
% 255.02/64.61 | | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | | End of split
% 255.02/64.61 | | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | | End of split
% 255.02/64.61 | | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | | End of split
% 255.02/64.61 | | | | | | | | | |
% 255.02/64.61 | | | | | | | | | End of split
% 255.02/64.61 | | | | | | | | |
% 255.02/64.61 | | | | | | | | End of split
% 255.02/64.61 | | | | | | | |
% 255.02/64.61 | | | | | | | End of split
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | End of split
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | End of split
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | End of split
% 255.02/64.61 | | | |
% 255.02/64.61 | | | Case 2:
% 255.02/64.61 | | | |
% 255.02/64.61 | | | | (3432) all_4_100 = n9 | all_4_100 = n8 | all_4_100 = n7 | all_4_100 =
% 255.02/64.61 | | | | n6 | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.02/64.61 | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.61 | | | |
% 255.02/64.61 | | | | BETA: splitting (3262) gives:
% 255.02/64.61 | | | |
% 255.02/64.61 | | | | Case 1:
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | (3433) all_4_101 = n9
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | REDUCE: (229), (3433) imply:
% 255.02/64.61 | | | | | (3434) pred(n9) = all_4_79
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | REDUCE: (198), (3433) imply:
% 255.02/64.61 | | | | | (3435) succ(n9) = all_4_75
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | GROUND_INST: instantiating (2) with n10, all_4_75, n9, simplifying
% 255.02/64.61 | | | | | with (196), (3435) gives:
% 255.02/64.61 | | | | | (3436) all_4_75 = n10
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | GROUND_INST: instantiating (3) with n8, all_4_79, n9, simplifying with
% 255.02/64.61 | | | | | (227), (3434) gives:
% 255.02/64.61 | | | | | (3437) all_4_79 = n8
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | REDUCE: (131), (3436) imply:
% 255.02/64.61 | | | | | (3438) sum(all_4_76, n10) = all_4_74
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | REDUCE: (128), (3436), (3437) imply:
% 255.02/64.61 | | | | | (3439) sum(n8, n10) = all_4_73
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | REDUCE: (127), (3437) imply:
% 255.02/64.61 | | | | | (3440) sum(n8, all_4_78) = all_4_77
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | GROUND_INST: instantiating (4) with n7, all_4_73, n10, n8, simplifying
% 255.02/64.61 | | | | | with (104), (3439) gives:
% 255.02/64.61 | | | | | (3441) all_4_73 = n7
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | REDUCE: (132), (3441) imply:
% 255.02/64.61 | | | | | (3442) sum(n7, all_4_72) = all_4_98
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | BETA: splitting (3432) gives:
% 255.02/64.61 | | | | |
% 255.02/64.61 | | | | | Case 1:
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | (3443) all_4_100 = n9
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (230), (3443) imply:
% 255.02/64.61 | | | | | | (3444) pred(n9) = all_4_76
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (199), (3443) imply:
% 255.02/64.61 | | | | | | (3445) succ(n9) = all_4_78
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 255.02/64.61 | | | | | | with (196), (3445) gives:
% 255.02/64.61 | | | | | | (3446) all_4_78 = n10
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 255.02/64.61 | | | | | | with (227), (3444) gives:
% 255.02/64.61 | | | | | | (3447) all_4_76 = n8
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (130), (3446), (3447) imply:
% 255.02/64.61 | | | | | | (3448) sum(n8, n10) = all_4_72
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (3438), (3447) imply:
% 255.02/64.61 | | | | | | (3449) sum(n8, n10) = all_4_74
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (3440), (3446) imply:
% 255.02/64.61 | | | | | | (3450) sum(n8, n10) = all_4_77
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n10, n8,
% 255.02/64.61 | | | | | | simplifying with (104), (3449) gives:
% 255.02/64.61 | | | | | | (3451) all_4_74 = n7
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n10, n8,
% 255.02/64.61 | | | | | | simplifying with (3448), (3449) gives:
% 255.02/64.61 | | | | | | (3452) all_4_72 = all_4_74
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n10, n8,
% 255.02/64.61 | | | | | | simplifying with (3448), (3450) gives:
% 255.02/64.61 | | | | | | (3453) all_4_72 = all_4_77
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | COMBINE_EQS: (3452), (3453) imply:
% 255.02/64.61 | | | | | | (3454) all_4_74 = all_4_77
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | SIMP: (3454) implies:
% 255.02/64.61 | | | | | | (3455) all_4_74 = all_4_77
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | COMBINE_EQS: (3451), (3455) imply:
% 255.02/64.61 | | | | | | (3456) all_4_77 = n7
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | COMBINE_EQS: (3453), (3456) imply:
% 255.02/64.61 | | | | | | (3457) all_4_72 = n7
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (129), (3451), (3456) imply:
% 255.02/64.61 | | | | | | (3458) sum(n7, n7) = all_4_99
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REDUCE: (3442), (3457) imply:
% 255.02/64.61 | | | | | | (3459) sum(n7, n7) = all_4_98
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n7, n7,
% 255.02/64.61 | | | | | | simplifying with (90), (3459) gives:
% 255.02/64.61 | | | | | | (3460) all_4_98 = n3
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n7, n7,
% 255.02/64.61 | | | | | | simplifying with (3458), (3459) gives:
% 255.02/64.61 | | | | | | (3461) all_4_98 = all_4_99
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | COMBINE_EQS: (3460), (3461) imply:
% 255.02/64.61 | | | | | | (3462) all_4_99 = n3
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | SIMP: (3462) implies:
% 255.02/64.61 | | | | | | (3463) all_4_99 = n3
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78), (102),
% 255.02/64.61 | | | | | | (104), (126), (133), (134), (135), (136), (137), (138),
% 255.02/64.61 | | | | | | (139), (140), (141), (142), (143), (144), (145), (146),
% 255.02/64.61 | | | | | | (147), (148), (149), (150), (151), (152), (153), (154),
% 255.02/64.61 | | | | | | (155), (156), (157), (158), (159), (160), (161), (162),
% 255.02/64.61 | | | | | | (163), (164), (165), (166), (167), (168), (169), (170),
% 255.02/64.61 | | | | | | (171), (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.61 | | | | | | (179), (180), (181), (182), (183), (184), (185), (186),
% 255.02/64.61 | | | | | | (188), (190), (191), (192), (196), (200), (201), (202),
% 255.02/64.61 | | | | | | (203), (204), (205), (206), (207), (208), (209), (210),
% 255.02/64.61 | | | | | | (211), (212), (213), (214), (215), (216), (217), (219),
% 255.02/64.61 | | | | | | (221), (222), (223), (227), (231), (232), (233), (234),
% 255.02/64.61 | | | | | | (235), (236), (237), (238), (239), (240), (241), (242),
% 255.02/64.61 | | | | | | (243), (244), (245), (246), (247), (248), (3263), (3458),
% 255.02/64.61 | | | | | | (3460), (3463) are inconsistent by sub-proof #209.
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | Case 2:
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | (3464) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 255.02/64.61 | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.02/64.61 | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | BETA: splitting (3464) gives:
% 255.02/64.61 | | | | | |
% 255.02/64.61 | | | | | | Case 1:
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | (3465) all_4_100 = n8
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (230), (3465) imply:
% 255.02/64.61 | | | | | | | (3466) pred(n8) = all_4_76
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (199), (3465) imply:
% 255.02/64.61 | | | | | | | (3467) succ(n8) = all_4_78
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8, simplifying
% 255.02/64.61 | | | | | | | with (195), (3467) gives:
% 255.02/64.61 | | | | | | | (3468) all_4_78 = n9
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8, simplifying
% 255.02/64.61 | | | | | | | with (226), (3466) gives:
% 255.02/64.61 | | | | | | | (3469) all_4_76 = n7
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (130), (3468), (3469) imply:
% 255.02/64.61 | | | | | | | (3470) sum(n7, n9) = all_4_72
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (3438), (3469) imply:
% 255.02/64.61 | | | | | | | (3471) sum(n7, n10) = all_4_74
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (3440), (3468) imply:
% 255.02/64.61 | | | | | | | (3472) sum(n8, n9) = all_4_77
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 255.02/64.61 | | | | | | | simplifying with (92), (3470) gives:
% 255.02/64.61 | | | | | | | (3473) all_4_72 = n5
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n10, n7,
% 255.02/64.61 | | | | | | | simplifying with (93), (3471) gives:
% 255.02/64.61 | | | | | | | (3474) all_4_74 = n6
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n9, n8,
% 255.02/64.61 | | | | | | | simplifying with (103), (3472) gives:
% 255.02/64.61 | | | | | | | (3475) all_4_77 = n6
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (129), (3474), (3475) imply:
% 255.02/64.61 | | | | | | | (3476) sum(n6, n6) = all_4_99
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REDUCE: (3442), (3473) imply:
% 255.02/64.61 | | | | | | | (3477) sum(n7, n5) = all_4_98
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 255.02/64.61 | | | | | | | simplifying with (78), (3476) gives:
% 255.02/64.61 | | | | | | | (3478) all_4_99 = n1
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n5, n7,
% 255.02/64.61 | | | | | | | simplifying with (88), (3477) gives:
% 255.02/64.61 | | | | | | | (3479) all_4_98 = n1
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 255.02/64.61 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 255.02/64.61 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 255.02/64.61 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 255.02/64.61 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 255.02/64.61 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 255.02/64.61 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 255.02/64.61 | | | | | | | (178), (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.61 | | | | | | | (186), (188), (190), (191), (192), (196), (200), (201),
% 255.02/64.61 | | | | | | | (202), (203), (204), (205), (206), (207), (208), (209),
% 255.02/64.61 | | | | | | | (210), (211), (212), (213), (214), (215), (216), (217),
% 255.02/64.61 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 255.02/64.61 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 255.02/64.61 | | | | | | | (242), (243), (244), (245), (246), (247), (248),
% 255.02/64.61 | | | | | | | (3263), (3476), (3478), (3479) are inconsistent by
% 255.02/64.61 | | | | | | | sub-proof #208.
% 255.02/64.61 | | | | | | |
% 255.02/64.61 | | | | | | Case 2:
% 255.02/64.61 | | | | | | |
% 255.02/64.62 | | | | | | | (3480) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 255.02/64.62 | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.02/64.62 | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.62 | | | | | | |
% 255.02/64.62 | | | | | | | BETA: splitting (3480) gives:
% 255.02/64.62 | | | | | | |
% 255.02/64.62 | | | | | | | Case 1:
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | (3481) all_4_100 = n7
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (230), (3481) imply:
% 255.02/64.62 | | | | | | | | (3482) pred(n7) = all_4_76
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (199), (3481) imply:
% 255.02/64.62 | | | | | | | | (3483) succ(n7) = all_4_78
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 255.02/64.62 | | | | | | | | simplifying with (194), (3483) gives:
% 255.02/64.62 | | | | | | | | (3484) all_4_78 = n8
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 255.02/64.62 | | | | | | | | simplifying with (225), (3482) gives:
% 255.02/64.62 | | | | | | | | (3485) all_4_76 = n6
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (130), (3484), (3485) imply:
% 255.02/64.62 | | | | | | | | (3486) sum(n6, n8) = all_4_72
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (3438), (3485) imply:
% 255.02/64.62 | | | | | | | | (3487) sum(n6, n10) = all_4_74
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (3440), (3484) imply:
% 255.02/64.62 | | | | | | | | (3488) sum(n8, n8) = all_4_77
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 255.02/64.62 | | | | | | | | simplifying with (80), (3486) gives:
% 255.02/64.62 | | | | | | | | (3489) all_4_72 = n3
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n10, n6,
% 255.02/64.62 | | | | | | | | simplifying with (82), (3487) gives:
% 255.02/64.62 | | | | | | | | (3490) all_4_74 = n5
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n8, n8,
% 255.02/64.62 | | | | | | | | simplifying with (102), (3488) gives:
% 255.02/64.62 | | | | | | | | (3491) all_4_77 = n5
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (129), (3490), (3491) imply:
% 255.02/64.62 | | | | | | | | (3492) sum(n5, n5) = all_4_99
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REDUCE: (3442), (3489) imply:
% 255.02/64.62 | | | | | | | | (3493) sum(n7, n3) = all_4_98
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 255.02/64.62 | | | | | | | | simplifying with (66), (3492) gives:
% 255.02/64.62 | | | | | | | | (3494) all_4_99 = n10
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n3, n7,
% 255.02/64.62 | | | | | | | | simplifying with (86), (3493) gives:
% 255.02/64.62 | | | | | | | | (3495) all_4_98 = n10
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 255.02/64.62 | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.62 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.62 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.62 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.62 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.62 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.62 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.62 | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.62 | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.62 | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.62 | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.62 | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.62 | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.62 | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.62 | | | | | | | | (244), (245), (246), (247), (248), (3263), (3492),
% 255.02/64.62 | | | | | | | | (3494), (3495) are inconsistent by sub-proof #207.
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | Case 2:
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | (3496) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 255.02/64.62 | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.02/64.62 | | | | | | | | all_4_100 = n0
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | BETA: splitting (3496) gives:
% 255.02/64.62 | | | | | | | |
% 255.02/64.62 | | | | | | | | Case 1:
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | (3497) all_4_100 = n6
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (230), (3497) imply:
% 255.02/64.62 | | | | | | | | | (3498) pred(n6) = all_4_76
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (199), (3497) imply:
% 255.02/64.62 | | | | | | | | | (3499) succ(n6) = all_4_78
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 255.02/64.62 | | | | | | | | | simplifying with (193), (3499) gives:
% 255.02/64.62 | | | | | | | | | (3500) all_4_78 = n7
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 255.02/64.62 | | | | | | | | | simplifying with (224), (3498) gives:
% 255.02/64.62 | | | | | | | | | (3501) all_4_76 = n5
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (130), (3500), (3501) imply:
% 255.02/64.62 | | | | | | | | | (3502) sum(n5, n7) = all_4_72
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (3438), (3501) imply:
% 255.02/64.62 | | | | | | | | | (3503) sum(n5, n10) = all_4_74
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (3440), (3500) imply:
% 255.02/64.62 | | | | | | | | | (3504) sum(n8, n7) = all_4_77
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 255.02/64.62 | | | | | | | | | simplifying with (68), (3502) gives:
% 255.02/64.62 | | | | | | | | | (3505) all_4_72 = n1
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n10, n5,
% 255.02/64.62 | | | | | | | | | simplifying with (71), (3503) gives:
% 255.02/64.62 | | | | | | | | | (3506) all_4_74 = n4
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n7, n8,
% 255.02/64.62 | | | | | | | | | simplifying with (101), (3504) gives:
% 255.02/64.62 | | | | | | | | | (3507) all_4_77 = n4
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (129), (3506), (3507) imply:
% 255.02/64.62 | | | | | | | | | (3508) sum(n4, n4) = all_4_99
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REDUCE: (3442), (3505) imply:
% 255.02/64.62 | | | | | | | | | (3509) sum(n7, n1) = all_4_98
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 255.02/64.62 | | | | | | | | | simplifying with (54), (3508) gives:
% 255.02/64.62 | | | | | | | | | (3510) all_4_99 = n8
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n1, n7,
% 255.02/64.62 | | | | | | | | | simplifying with (84), (3509) gives:
% 255.02/64.62 | | | | | | | | | (3511) all_4_98 = n8
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 255.02/64.62 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.62 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.62 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.62 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.62 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.62 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.62 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.62 | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.62 | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.62 | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.62 | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.62 | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.62 | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.62 | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.62 | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3508),
% 255.02/64.62 | | | | | | | | | (3510), (3511) are inconsistent by sub-proof #206.
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | Case 2:
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | (3512) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.02/64.62 | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | BETA: splitting (3512) gives:
% 255.02/64.62 | | | | | | | | |
% 255.02/64.62 | | | | | | | | | Case 1:
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | (3513) all_4_100 = n5
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (230), (3513) imply:
% 255.02/64.62 | | | | | | | | | | (3514) pred(n5) = all_4_76
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (199), (3513) imply:
% 255.02/64.62 | | | | | | | | | | (3515) succ(n5) = all_4_78
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 255.02/64.62 | | | | | | | | | | simplifying with (192), (3515) gives:
% 255.02/64.62 | | | | | | | | | | (3516) all_4_78 = n6
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 255.02/64.62 | | | | | | | | | | simplifying with (223), (3514) gives:
% 255.02/64.62 | | | | | | | | | | (3517) all_4_76 = n4
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (130), (3516), (3517) imply:
% 255.02/64.62 | | | | | | | | | | (3518) sum(n4, n6) = all_4_72
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (3438), (3517) imply:
% 255.02/64.62 | | | | | | | | | | (3519) sum(n4, n10) = all_4_74
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (3440), (3516) imply:
% 255.02/64.62 | | | | | | | | | | (3520) sum(n8, n6) = all_4_77
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 255.02/64.62 | | | | | | | | | | simplifying with (56), (3518) gives:
% 255.02/64.62 | | | | | | | | | | (3521) all_4_72 = n10
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 255.02/64.62 | | | | | | | | | | simplifying with (60), (3519) gives:
% 255.02/64.62 | | | | | | | | | | (3522) all_4_74 = n3
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 255.02/64.62 | | | | | | | | | | simplifying with (100), (3520) gives:
% 255.02/64.62 | | | | | | | | | | (3523) all_4_77 = n3
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (129), (3522), (3523) imply:
% 255.02/64.62 | | | | | | | | | | (3524) sum(n3, n3) = all_4_99
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REDUCE: (3442), (3521) imply:
% 255.02/64.62 | | | | | | | | | | (3525) sum(n7, n10) = all_4_98
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 255.02/64.62 | | | | | | | | | | simplifying with (42), (3524) gives:
% 255.02/64.62 | | | | | | | | | | (3526) all_4_99 = n6
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 255.02/64.62 | | | | | | | | | | simplifying with (93), (3525) gives:
% 255.02/64.62 | | | | | | | | | | (3527) all_4_98 = n6
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 255.02/64.62 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.02/64.62 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.02/64.62 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.02/64.62 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.02/64.62 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.02/64.62 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.02/64.62 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.02/64.62 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.02/64.62 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.02/64.62 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.02/64.62 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.02/64.62 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.02/64.62 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.02/64.62 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.02/64.62 | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3524),
% 255.02/64.62 | | | | | | | | | | (3526), (3527) are inconsistent by sub-proof #205.
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | Case 2:
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | (3528) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.02/64.62 | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | BETA: splitting (3528) gives:
% 255.02/64.62 | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | Case 1:
% 255.02/64.62 | | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | | (3529) all_4_100 = n4
% 255.02/64.62 | | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | | REDUCE: (230), (3529) imply:
% 255.02/64.62 | | | | | | | | | | | (3530) pred(n4) = all_4_76
% 255.02/64.62 | | | | | | | | | | |
% 255.02/64.62 | | | | | | | | | | | REDUCE: (199), (3529) imply:
% 255.33/64.62 | | | | | | | | | | | (3531) succ(n4) = all_4_78
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 255.33/64.62 | | | | | | | | | | | simplifying with (191), (3531) gives:
% 255.33/64.62 | | | | | | | | | | | (3532) all_4_78 = n5
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 255.33/64.62 | | | | | | | | | | | simplifying with (222), (3530) gives:
% 255.33/64.62 | | | | | | | | | | | (3533) all_4_76 = n3
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | REDUCE: (130), (3532), (3533) imply:
% 255.33/64.62 | | | | | | | | | | | (3534) sum(n3, n5) = all_4_72
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | REDUCE: (3438), (3533) imply:
% 255.33/64.62 | | | | | | | | | | | (3535) sum(n3, n10) = all_4_74
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | REDUCE: (3440), (3532) imply:
% 255.33/64.62 | | | | | | | | | | | (3536) sum(n8, n5) = all_4_77
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 255.33/64.62 | | | | | | | | | | | simplifying with (44), (3534) gives:
% 255.33/64.62 | | | | | | | | | | | (3537) all_4_72 = n8
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 255.33/64.62 | | | | | | | | | | | simplifying with (49), (3535) gives:
% 255.33/64.62 | | | | | | | | | | | (3538) all_4_74 = n2
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 255.33/64.62 | | | | | | | | | | | simplifying with (99), (3536) gives:
% 255.33/64.62 | | | | | | | | | | | (3539) all_4_77 = n2
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | REDUCE: (129), (3538), (3539) imply:
% 255.33/64.62 | | | | | | | | | | | (3540) sum(n2, n2) = all_4_99
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | REDUCE: (3442), (3537) imply:
% 255.33/64.62 | | | | | | | | | | | (3541) sum(n7, n8) = all_4_98
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.33/64.62 | | | | | | | | | | | simplifying with (30), (3540) gives:
% 255.33/64.62 | | | | | | | | | | | (3542) all_4_99 = n4
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.62 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 255.33/64.62 | | | | | | | | | | | simplifying with (91), (3541) gives:
% 255.33/64.62 | | | | | | | | | | | (3543) all_4_98 = n4
% 255.33/64.62 | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.33/64.63 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.33/64.63 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.63 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.63 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.63 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.63 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.63 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.63 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.63 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.33/64.63 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.63 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.63 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.33/64.63 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.33/64.63 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.63 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3540),
% 255.33/64.63 | | | | | | | | | | | (3542), (3543) are inconsistent by sub-proof #204.
% 255.33/64.63 | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | Case 2:
% 255.33/64.63 | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | (3544) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.33/64.63 | | | | | | | | | | | all_4_100 = n0
% 255.33/64.63 | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | BETA: splitting (3544) gives:
% 255.33/64.63 | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | Case 1:
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | (3545) all_4_100 = n3
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (230), (3545) imply:
% 255.33/64.63 | | | | | | | | | | | | (3546) pred(n3) = all_4_76
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (199), (3545) imply:
% 255.33/64.63 | | | | | | | | | | | | (3547) succ(n3) = all_4_78
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (190), (3547) gives:
% 255.33/64.63 | | | | | | | | | | | | (3548) all_4_78 = n4
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (221), (3546) gives:
% 255.33/64.63 | | | | | | | | | | | | (3549) all_4_76 = n2
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (130), (3548), (3549) imply:
% 255.33/64.63 | | | | | | | | | | | | (3550) sum(n2, n4) = all_4_72
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (3438), (3549) imply:
% 255.33/64.63 | | | | | | | | | | | | (3551) sum(n2, n10) = all_4_74
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (3440), (3548) imply:
% 255.33/64.63 | | | | | | | | | | | | (3552) sum(n8, n4) = all_4_77
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (32), (3550) gives:
% 255.33/64.63 | | | | | | | | | | | | (3553) all_4_72 = n6
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (38), (3551) gives:
% 255.33/64.63 | | | | | | | | | | | | (3554) all_4_74 = n1
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (98), (3552) gives:
% 255.33/64.63 | | | | | | | | | | | | (3555) all_4_77 = n1
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (129), (3554), (3555) imply:
% 255.33/64.63 | | | | | | | | | | | | (3556) sum(n1, n1) = all_4_99
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REDUCE: (3442), (3553) imply:
% 255.33/64.63 | | | | | | | | | | | | (3557) sum(n7, n6) = all_4_98
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (18), (3556) gives:
% 255.33/64.63 | | | | | | | | | | | | (3558) all_4_99 = n2
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 255.33/64.63 | | | | | | | | | | | | simplifying with (89), (3557) gives:
% 255.33/64.63 | | | | | | | | | | | | (3559) all_4_98 = n2
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.33/64.63 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.63 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.63 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.63 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.63 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.63 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.63 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.63 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.63 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.63 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.63 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.63 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.63 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.63 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.63 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3556),
% 255.33/64.63 | | | | | | | | | | | | (3558), (3559) are inconsistent by sub-proof #203.
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | Case 2:
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | (3560) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | BETA: splitting (3560) gives:
% 255.33/64.63 | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | Case 1:
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | (3561) all_4_100 = n2
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (230), (3561) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3562) pred(n2) = all_4_76
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (199), (3561) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3563) succ(n2) = all_4_78
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (189), (3563) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3564) all_4_78 = n3
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (220), (3562) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3565) all_4_76 = n1
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (130), (3564), (3565) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3566) sum(n1, n3) = all_4_72
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (3438), (3565) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3567) sum(n1, n10) = all_4_74
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (3440), (3564) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3568) sum(n8, n3) = all_4_77
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (20), (3566) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3569) all_4_72 = n4
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (27), (3567) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3570) all_4_74 = n0
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (97), (3568) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3571) all_4_77 = n0
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (129), (3570), (3571) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3572) sum(n0, n0) = all_4_99
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REDUCE: (3442), (3569) imply:
% 255.33/64.63 | | | | | | | | | | | | | (3573) sum(n7, n4) = all_4_98
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (6), (3572) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3574) all_4_99 = n0
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 255.33/64.63 | | | | | | | | | | | | | simplifying with (87), (3573) gives:
% 255.33/64.63 | | | | | | | | | | | | | (3575) all_4_98 = n0
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.33/64.63 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.63 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.63 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.63 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.63 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.63 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.63 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.63 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.33/64.63 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.33/64.63 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.33/64.63 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.33/64.63 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.33/64.63 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (3572),
% 255.33/64.63 | | | | | | | | | | | | | (3574), (3575) are inconsistent by sub-proof #201.
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | Case 2:
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | (3576) all_4_100 = n1 | all_4_100 = n0
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | BETA: splitting (3576) gives:
% 255.33/64.63 | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | Case 1:
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | (3577) all_4_100 = n1
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (230), (3577) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3578) pred(n1) = all_4_76
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (199), (3577) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3579) succ(n1) = all_4_78
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (188), (3579) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3580) all_4_78 = n2
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (219), (3578) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3581) all_4_76 = n0
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (130), (3580), (3581) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3582) sum(n0, n2) = all_4_72
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (3438), (3581) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3583) sum(n0, n10) = all_4_74
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (3440), (3580) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3584) sum(n8, n2) = all_4_77
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (8), (3582) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3585) all_4_72 = n2
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (16), (3583) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3586) all_4_74 = n10
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (96), (3584) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3587) all_4_77 = n10
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (129), (3586), (3587) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3588) sum(n10, n10) = all_4_99
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (3442), (3585) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3589) sum(n7, n2) = all_4_98
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (85), (3589) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3590) all_4_98 = n9
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (126), (3588) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3591) all_4_99 = n9
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.33/64.63 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.33/64.63 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.63 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.63 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.63 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.63 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.63 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.63 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.63 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.33/64.63 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.63 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.63 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.33/64.63 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.33/64.63 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.63 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3588),
% 255.33/64.63 | | | | | | | | | | | | | | (3590), (3591) are inconsistent by sub-proof #200.
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | Case 2:
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | (3592) all_4_100 = n0
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (230), (3592) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3593) pred(n0) = all_4_76
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (199), (3592) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3594) succ(n0) = all_4_78
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (187), (3594) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3595) all_4_78 = n1
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (218), (3593) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3596) all_4_76 = n10
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (130), (3595), (3596) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3597) sum(n10, n1) = all_4_72
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (3438), (3596) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3598) sum(n10, n10) = all_4_74
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (3440), (3595) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3599) sum(n8, n1) = all_4_77
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (95), (3599) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3600) all_4_77 = n9
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (117), (3597) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3601) all_4_72 = n0
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (126), (3598) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3602) all_4_74 = n9
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (129), (3600), (3602) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3603) sum(n9, n9) = all_4_99
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | REDUCE: (3442), (3601) imply:
% 255.33/64.63 | | | | | | | | | | | | | | (3604) sum(n7, n0) = all_4_98
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (83), (3604) gives:
% 255.33/64.63 | | | | | | | | | | | | | | (3605) all_4_98 = n7
% 255.33/64.63 | | | | | | | | | | | | | |
% 255.33/64.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.33/64.63 | | | | | | | | | | | | | | simplifying with (114), (3603) gives:
% 255.33/64.64 | | | | | | | | | | | | | | (3606) all_4_99 = n7
% 255.33/64.64 | | | | | | | | | | | | | |
% 255.33/64.64 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.33/64.64 | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.33/64.64 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.64 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.64 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.64 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.64 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.64 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.64 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.64 | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.64 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.64 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.64 | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.64 | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.64 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.64 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3603),
% 255.33/64.64 | | | | | | | | | | | | | | (3605), (3606) are inconsistent by sub-proof #211.
% 255.33/64.64 | | | | | | | | | | | | | |
% 255.33/64.64 | | | | | | | | | | | | | End of split
% 255.33/64.64 | | | | | | | | | | | | |
% 255.33/64.64 | | | | | | | | | | | | End of split
% 255.33/64.64 | | | | | | | | | | | |
% 255.33/64.64 | | | | | | | | | | | End of split
% 255.33/64.64 | | | | | | | | | | |
% 255.33/64.64 | | | | | | | | | | End of split
% 255.33/64.64 | | | | | | | | | |
% 255.33/64.64 | | | | | | | | | End of split
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | End of split
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | End of split
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | End of split
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | End of split
% 255.33/64.64 | | | | |
% 255.33/64.64 | | | | Case 2:
% 255.33/64.64 | | | | |
% 255.33/64.64 | | | | | (3607) all_4_101 = n8 | all_4_101 = n7 | all_4_101 = n6 | all_4_101
% 255.33/64.64 | | | | | = n5 | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.33/64.64 | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.33/64.64 | | | | |
% 255.33/64.64 | | | | | BETA: splitting (3432) gives:
% 255.33/64.64 | | | | |
% 255.33/64.64 | | | | | Case 1:
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | (3608) all_4_100 = n9
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | REDUCE: (230), (3608) imply:
% 255.33/64.64 | | | | | | (3609) pred(n9) = all_4_76
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | REDUCE: (199), (3608) imply:
% 255.33/64.64 | | | | | | (3610) succ(n9) = all_4_78
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 255.33/64.64 | | | | | | with (196), (3610) gives:
% 255.33/64.64 | | | | | | (3611) all_4_78 = n10
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 255.33/64.64 | | | | | | with (227), (3609) gives:
% 255.33/64.64 | | | | | | (3612) all_4_76 = n8
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | REDUCE: (131), (3612) imply:
% 255.33/64.64 | | | | | | (3613) sum(n8, all_4_75) = all_4_74
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | REDUCE: (130), (3611), (3612) imply:
% 255.33/64.64 | | | | | | (3614) sum(n8, n10) = all_4_72
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | REDUCE: (127), (3611) imply:
% 255.33/64.64 | | | | | | (3615) sum(all_4_79, n10) = all_4_77
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | GROUND_INST: instantiating (4) with n7, all_4_72, n10, n8,
% 255.33/64.64 | | | | | | simplifying with (104), (3614) gives:
% 255.33/64.64 | | | | | | (3616) all_4_72 = n7
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | REDUCE: (132), (3616) imply:
% 255.33/64.64 | | | | | | (3617) sum(all_4_73, n7) = all_4_98
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | BETA: splitting (3607) gives:
% 255.33/64.64 | | | | | |
% 255.33/64.64 | | | | | | Case 1:
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | (3618) all_4_101 = n8
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (229), (3618) imply:
% 255.33/64.64 | | | | | | | (3619) pred(n8) = all_4_79
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (198), (3618) imply:
% 255.33/64.64 | | | | | | | (3620) succ(n8) = all_4_75
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8, simplifying
% 255.33/64.64 | | | | | | | with (195), (3620) gives:
% 255.33/64.64 | | | | | | | (3621) all_4_75 = n9
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8, simplifying
% 255.33/64.64 | | | | | | | with (226), (3619) gives:
% 255.33/64.64 | | | | | | | (3622) all_4_79 = n7
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (128), (3621), (3622) imply:
% 255.33/64.64 | | | | | | | (3623) sum(n7, n9) = all_4_73
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (3615), (3622) imply:
% 255.33/64.64 | | | | | | | (3624) sum(n7, n10) = all_4_77
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (3613), (3621) imply:
% 255.33/64.64 | | | | | | | (3625) sum(n8, n9) = all_4_74
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 255.33/64.64 | | | | | | | simplifying with (92), (3623) gives:
% 255.33/64.64 | | | | | | | (3626) all_4_73 = n5
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n10, n7,
% 255.33/64.64 | | | | | | | simplifying with (93), (3624) gives:
% 255.33/64.64 | | | | | | | (3627) all_4_77 = n6
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n9, n8,
% 255.33/64.64 | | | | | | | simplifying with (103), (3625) gives:
% 255.33/64.64 | | | | | | | (3628) all_4_74 = n6
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (3617), (3626) imply:
% 255.33/64.64 | | | | | | | (3629) sum(n5, n7) = all_4_98
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REDUCE: (129), (3627), (3628) imply:
% 255.33/64.64 | | | | | | | (3630) sum(n6, n6) = all_4_99
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n7, n5,
% 255.33/64.64 | | | | | | | simplifying with (68), (3629) gives:
% 255.33/64.64 | | | | | | | (3631) all_4_98 = n1
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 255.33/64.64 | | | | | | | simplifying with (78), (3630) gives:
% 255.33/64.64 | | | | | | | (3632) all_4_99 = n1
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 255.33/64.64 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 255.33/64.64 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 255.33/64.64 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 255.33/64.64 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 255.33/64.64 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 255.33/64.64 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 255.33/64.64 | | | | | | | (178), (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.64 | | | | | | | (186), (188), (190), (191), (192), (196), (200), (201),
% 255.33/64.64 | | | | | | | (202), (203), (204), (205), (206), (207), (208), (209),
% 255.33/64.64 | | | | | | | (210), (211), (212), (213), (214), (215), (216), (217),
% 255.33/64.64 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 255.33/64.64 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 255.33/64.64 | | | | | | | (242), (243), (244), (245), (246), (247), (248),
% 255.33/64.64 | | | | | | | (3263), (3630), (3631), (3632) are inconsistent by
% 255.33/64.64 | | | | | | | sub-proof #208.
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | Case 2:
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | (3633) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 255.33/64.64 | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.33/64.64 | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | BETA: splitting (3633) gives:
% 255.33/64.64 | | | | | | |
% 255.33/64.64 | | | | | | | Case 1:
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | (3634) all_4_101 = n7
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (229), (3634) imply:
% 255.33/64.64 | | | | | | | | (3635) pred(n7) = all_4_79
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (198), (3634) imply:
% 255.33/64.64 | | | | | | | | (3636) succ(n7) = all_4_75
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 255.33/64.64 | | | | | | | | simplifying with (194), (3636) gives:
% 255.33/64.64 | | | | | | | | (3637) all_4_75 = n8
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 255.33/64.64 | | | | | | | | simplifying with (225), (3635) gives:
% 255.33/64.64 | | | | | | | | (3638) all_4_79 = n6
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (128), (3637), (3638) imply:
% 255.33/64.64 | | | | | | | | (3639) sum(n6, n8) = all_4_73
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (3615), (3638) imply:
% 255.33/64.64 | | | | | | | | (3640) sum(n6, n10) = all_4_77
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (3613), (3637) imply:
% 255.33/64.64 | | | | | | | | (3641) sum(n8, n8) = all_4_74
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 255.33/64.64 | | | | | | | | simplifying with (80), (3639) gives:
% 255.33/64.64 | | | | | | | | (3642) all_4_73 = n3
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n10, n6,
% 255.33/64.64 | | | | | | | | simplifying with (82), (3640) gives:
% 255.33/64.64 | | | | | | | | (3643) all_4_77 = n5
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n8, n8,
% 255.33/64.64 | | | | | | | | simplifying with (102), (3641) gives:
% 255.33/64.64 | | | | | | | | (3644) all_4_74 = n5
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (3617), (3642) imply:
% 255.33/64.64 | | | | | | | | (3645) sum(n3, n7) = all_4_98
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REDUCE: (129), (3643), (3644) imply:
% 255.33/64.64 | | | | | | | | (3646) sum(n5, n5) = all_4_99
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n7, n3,
% 255.33/64.64 | | | | | | | | simplifying with (46), (3645) gives:
% 255.33/64.64 | | | | | | | | (3647) all_4_98 = n10
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 255.33/64.64 | | | | | | | | simplifying with (66), (3646) gives:
% 255.33/64.64 | | | | | | | | (3648) all_4_99 = n10
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 255.33/64.64 | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.64 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.64 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.64 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.64 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.64 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.64 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.64 | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.64 | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.64 | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.64 | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.64 | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.64 | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.64 | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.64 | | | | | | | | (244), (245), (246), (247), (248), (3263), (3646),
% 255.33/64.64 | | | | | | | | (3647), (3648) are inconsistent by sub-proof #207.
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | Case 2:
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | (3649) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 255.33/64.64 | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.33/64.64 | | | | | | | | all_4_101 = n0
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | BETA: splitting (3649) gives:
% 255.33/64.64 | | | | | | | |
% 255.33/64.64 | | | | | | | | Case 1:
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | (3650) all_4_101 = n6
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (229), (3650) imply:
% 255.33/64.64 | | | | | | | | | (3651) pred(n6) = all_4_79
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (198), (3650) imply:
% 255.33/64.64 | | | | | | | | | (3652) succ(n6) = all_4_75
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 255.33/64.64 | | | | | | | | | simplifying with (193), (3652) gives:
% 255.33/64.64 | | | | | | | | | (3653) all_4_75 = n7
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 255.33/64.64 | | | | | | | | | simplifying with (224), (3651) gives:
% 255.33/64.64 | | | | | | | | | (3654) all_4_79 = n5
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (128), (3653), (3654) imply:
% 255.33/64.64 | | | | | | | | | (3655) sum(n5, n7) = all_4_73
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (3615), (3654) imply:
% 255.33/64.64 | | | | | | | | | (3656) sum(n5, n10) = all_4_77
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (3613), (3653) imply:
% 255.33/64.64 | | | | | | | | | (3657) sum(n8, n7) = all_4_74
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 255.33/64.64 | | | | | | | | | simplifying with (68), (3655) gives:
% 255.33/64.64 | | | | | | | | | (3658) all_4_73 = n1
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n10, n5,
% 255.33/64.64 | | | | | | | | | simplifying with (71), (3656) gives:
% 255.33/64.64 | | | | | | | | | (3659) all_4_77 = n4
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n7, n8,
% 255.33/64.64 | | | | | | | | | simplifying with (101), (3657) gives:
% 255.33/64.64 | | | | | | | | | (3660) all_4_74 = n4
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (3617), (3658) imply:
% 255.33/64.64 | | | | | | | | | (3661) sum(n1, n7) = all_4_98
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REDUCE: (129), (3659), (3660) imply:
% 255.33/64.64 | | | | | | | | | (3662) sum(n4, n4) = all_4_99
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n7, n1,
% 255.33/64.64 | | | | | | | | | simplifying with (24), (3661) gives:
% 255.33/64.64 | | | | | | | | | (3663) all_4_98 = n8
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 255.33/64.64 | | | | | | | | | simplifying with (54), (3662) gives:
% 255.33/64.64 | | | | | | | | | (3664) all_4_99 = n8
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 255.33/64.64 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.64 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.64 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.64 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.64 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.64 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.64 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.64 | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.64 | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.64 | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.64 | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.64 | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.64 | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.64 | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.64 | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3662),
% 255.33/64.64 | | | | | | | | | (3663), (3664) are inconsistent by sub-proof #206.
% 255.33/64.64 | | | | | | | | |
% 255.33/64.64 | | | | | | | | Case 2:
% 255.33/64.64 | | | | | | | | |
% 255.33/64.65 | | | | | | | | | (3665) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 255.33/64.65 | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.33/64.65 | | | | | | | | |
% 255.33/64.65 | | | | | | | | | BETA: splitting (3665) gives:
% 255.33/64.65 | | | | | | | | |
% 255.33/64.65 | | | | | | | | | Case 1:
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | (3666) all_4_101 = n5
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (229), (3666) imply:
% 255.33/64.65 | | | | | | | | | | (3667) pred(n5) = all_4_79
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (198), (3666) imply:
% 255.33/64.65 | | | | | | | | | | (3668) succ(n5) = all_4_75
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 255.33/64.65 | | | | | | | | | | simplifying with (192), (3668) gives:
% 255.33/64.65 | | | | | | | | | | (3669) all_4_75 = n6
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 255.33/64.65 | | | | | | | | | | simplifying with (223), (3667) gives:
% 255.33/64.65 | | | | | | | | | | (3670) all_4_79 = n4
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (128), (3669), (3670) imply:
% 255.33/64.65 | | | | | | | | | | (3671) sum(n4, n6) = all_4_73
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (3615), (3670) imply:
% 255.33/64.65 | | | | | | | | | | (3672) sum(n4, n10) = all_4_77
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (3613), (3669) imply:
% 255.33/64.65 | | | | | | | | | | (3673) sum(n8, n6) = all_4_74
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 255.33/64.65 | | | | | | | | | | simplifying with (56), (3671) gives:
% 255.33/64.65 | | | | | | | | | | (3674) all_4_73 = n10
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n10, n4,
% 255.33/64.65 | | | | | | | | | | simplifying with (60), (3672) gives:
% 255.33/64.65 | | | | | | | | | | (3675) all_4_77 = n3
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n6, n8,
% 255.33/64.65 | | | | | | | | | | simplifying with (100), (3673) gives:
% 255.33/64.65 | | | | | | | | | | (3676) all_4_74 = n3
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (3617), (3674) imply:
% 255.33/64.65 | | | | | | | | | | (3677) sum(n10, n7) = all_4_98
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REDUCE: (129), (3675), (3676) imply:
% 255.33/64.65 | | | | | | | | | | (3678) sum(n3, n3) = all_4_99
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 255.33/64.65 | | | | | | | | | | simplifying with (42), (3678) gives:
% 255.33/64.65 | | | | | | | | | | (3679) all_4_99 = n6
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n7, n10,
% 255.33/64.65 | | | | | | | | | | simplifying with (123), (3677) gives:
% 255.33/64.65 | | | | | | | | | | (3680) all_4_98 = n6
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 255.33/64.65 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.65 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.65 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.65 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.65 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.65 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.65 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.65 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.65 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.65 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.65 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.65 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.65 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.65 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.65 | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3678),
% 255.33/64.65 | | | | | | | | | | (3679), (3680) are inconsistent by sub-proof #205.
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | Case 2:
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | (3681) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.33/64.65 | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | BETA: splitting (3681) gives:
% 255.33/64.65 | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | Case 1:
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | (3682) all_4_101 = n4
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (229), (3682) imply:
% 255.33/64.65 | | | | | | | | | | | (3683) pred(n4) = all_4_79
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (198), (3682) imply:
% 255.33/64.65 | | | | | | | | | | | (3684) succ(n4) = all_4_75
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 255.33/64.65 | | | | | | | | | | | simplifying with (191), (3684) gives:
% 255.33/64.65 | | | | | | | | | | | (3685) all_4_75 = n5
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 255.33/64.65 | | | | | | | | | | | simplifying with (222), (3683) gives:
% 255.33/64.65 | | | | | | | | | | | (3686) all_4_79 = n3
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (128), (3685), (3686) imply:
% 255.33/64.65 | | | | | | | | | | | (3687) sum(n3, n5) = all_4_73
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (3615), (3686) imply:
% 255.33/64.65 | | | | | | | | | | | (3688) sum(n3, n10) = all_4_77
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (3613), (3685) imply:
% 255.33/64.65 | | | | | | | | | | | (3689) sum(n8, n5) = all_4_74
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 255.33/64.65 | | | | | | | | | | | simplifying with (44), (3687) gives:
% 255.33/64.65 | | | | | | | | | | | (3690) all_4_73 = n8
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 255.33/64.65 | | | | | | | | | | | simplifying with (49), (3688) gives:
% 255.33/64.65 | | | | | | | | | | | (3691) all_4_77 = n2
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 255.33/64.65 | | | | | | | | | | | simplifying with (99), (3689) gives:
% 255.33/64.65 | | | | | | | | | | | (3692) all_4_74 = n2
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (3617), (3690) imply:
% 255.33/64.65 | | | | | | | | | | | (3693) sum(n8, n7) = all_4_98
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REDUCE: (129), (3691), (3692) imply:
% 255.33/64.65 | | | | | | | | | | | (3694) sum(n2, n2) = all_4_99
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.33/64.65 | | | | | | | | | | | simplifying with (30), (3694) gives:
% 255.33/64.65 | | | | | | | | | | | (3695) all_4_99 = n4
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 255.33/64.65 | | | | | | | | | | | simplifying with (101), (3693) gives:
% 255.33/64.65 | | | | | | | | | | | (3696) all_4_98 = n4
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.33/64.65 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.33/64.65 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.65 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.65 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.65 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.65 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.65 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.65 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.65 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.33/64.65 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.65 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.65 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.33/64.65 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.33/64.65 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.65 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3694),
% 255.33/64.65 | | | | | | | | | | | (3695), (3696) are inconsistent by sub-proof #204.
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | Case 2:
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | (3697) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.33/64.65 | | | | | | | | | | | all_4_101 = n0
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | BETA: splitting (3697) gives:
% 255.33/64.65 | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | Case 1:
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | (3698) all_4_101 = n3
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (229), (3698) imply:
% 255.33/64.65 | | | | | | | | | | | | (3699) pred(n3) = all_4_79
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (198), (3698) imply:
% 255.33/64.65 | | | | | | | | | | | | (3700) succ(n3) = all_4_75
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (190), (3700) gives:
% 255.33/64.65 | | | | | | | | | | | | (3701) all_4_75 = n4
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (221), (3699) gives:
% 255.33/64.65 | | | | | | | | | | | | (3702) all_4_79 = n2
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (128), (3701), (3702) imply:
% 255.33/64.65 | | | | | | | | | | | | (3703) sum(n2, n4) = all_4_73
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (3615), (3702) imply:
% 255.33/64.65 | | | | | | | | | | | | (3704) sum(n2, n10) = all_4_77
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (3613), (3701) imply:
% 255.33/64.65 | | | | | | | | | | | | (3705) sum(n8, n4) = all_4_74
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (32), (3703) gives:
% 255.33/64.65 | | | | | | | | | | | | (3706) all_4_73 = n6
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (38), (3704) gives:
% 255.33/64.65 | | | | | | | | | | | | (3707) all_4_77 = n1
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (98), (3705) gives:
% 255.33/64.65 | | | | | | | | | | | | (3708) all_4_74 = n1
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (3617), (3706) imply:
% 255.33/64.65 | | | | | | | | | | | | (3709) sum(n6, n7) = all_4_98
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REDUCE: (129), (3707), (3708) imply:
% 255.33/64.65 | | | | | | | | | | | | (3710) sum(n1, n1) = all_4_99
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (18), (3710) gives:
% 255.33/64.65 | | | | | | | | | | | | (3711) all_4_99 = n2
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 255.33/64.65 | | | | | | | | | | | | simplifying with (79), (3709) gives:
% 255.33/64.65 | | | | | | | | | | | | (3712) all_4_98 = n2
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.33/64.65 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.65 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.65 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.65 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.65 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.65 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.65 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.65 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.65 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.65 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.65 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.65 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.65 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.65 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.65 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3710),
% 255.33/64.65 | | | | | | | | | | | | (3711), (3712) are inconsistent by sub-proof #203.
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | Case 2:
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | (3713) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | BETA: splitting (3713) gives:
% 255.33/64.65 | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | Case 1:
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | (3714) all_4_101 = n2
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (229), (3714) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3715) pred(n2) = all_4_79
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (198), (3714) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3716) succ(n2) = all_4_75
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (189), (3716) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3717) all_4_75 = n3
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (220), (3715) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3718) all_4_79 = n1
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (128), (3717), (3718) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3719) sum(n1, n3) = all_4_73
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (3615), (3718) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3720) sum(n1, n10) = all_4_77
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (3613), (3717) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3721) sum(n8, n3) = all_4_74
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (20), (3719) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3722) all_4_73 = n4
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (27), (3720) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3723) all_4_77 = n0
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (97), (3721) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3724) all_4_74 = n0
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (3617), (3722) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3725) sum(n4, n7) = all_4_98
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REDUCE: (129), (3723), (3724) imply:
% 255.33/64.65 | | | | | | | | | | | | | (3726) sum(n0, n0) = all_4_99
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (6), (3726) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3727) all_4_99 = n0
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 255.33/64.65 | | | | | | | | | | | | | simplifying with (57), (3725) gives:
% 255.33/64.65 | | | | | | | | | | | | | (3728) all_4_98 = n0
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.33/64.65 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.65 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.65 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.65 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.65 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.65 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.65 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.65 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.33/64.65 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.33/64.65 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.33/64.65 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.33/64.65 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.33/64.65 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (3726),
% 255.33/64.65 | | | | | | | | | | | | | (3727), (3728) are inconsistent by sub-proof #201.
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.65 | | | | | | | | | | | | Case 2:
% 255.33/64.65 | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | (3729) all_4_101 = n1 | all_4_101 = n0
% 255.33/64.66 | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | BETA: splitting (3729) gives:
% 255.33/64.66 | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | Case 1:
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | (3730) all_4_101 = n1
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (229), (3730) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3731) pred(n1) = all_4_79
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (198), (3730) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3732) succ(n1) = all_4_75
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (188), (3732) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3733) all_4_75 = n2
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (219), (3731) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3734) all_4_79 = n0
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (128), (3733), (3734) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3735) sum(n0, n2) = all_4_73
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (3615), (3734) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3736) sum(n0, n10) = all_4_77
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (3613), (3733) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3737) sum(n8, n2) = all_4_74
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (8), (3735) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3738) all_4_73 = n2
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (16), (3736) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3739) all_4_77 = n10
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (96), (3737) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3740) all_4_74 = n10
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (3617), (3738) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3741) sum(n2, n7) = all_4_98
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (129), (3739), (3740) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3742) sum(n10, n10) = all_4_99
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (35), (3741) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3743) all_4_98 = n9
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (126), (3742) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3744) all_4_99 = n9
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.33/64.66 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.33/64.66 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.66 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.66 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.66 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.66 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.66 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.66 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.66 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.33/64.66 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.66 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.66 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.33/64.66 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.33/64.66 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.66 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3742),
% 255.33/64.66 | | | | | | | | | | | | | | (3743), (3744) are inconsistent by sub-proof #200.
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | Case 2:
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | (3745) all_4_101 = n0
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (229), (3745) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3746) pred(n0) = all_4_79
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (198), (3745) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3747) succ(n0) = all_4_75
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (187), (3747) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3748) all_4_75 = n1
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (218), (3746) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3749) all_4_79 = n10
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (128), (3748), (3749) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3750) sum(n10, n1) = all_4_73
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (3615), (3749) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3751) sum(n10, n10) = all_4_77
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (3613), (3748) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3752) sum(n8, n1) = all_4_74
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (95), (3752) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3753) all_4_74 = n9
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (117), (3750) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3754) all_4_73 = n0
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (126), (3751) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3755) all_4_77 = n9
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (3617), (3754) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3756) sum(n0, n7) = all_4_98
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REDUCE: (129), (3753), (3755) imply:
% 255.33/64.66 | | | | | | | | | | | | | | (3757) sum(n9, n9) = all_4_99
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (13), (3756) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3758) all_4_98 = n7
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.33/64.66 | | | | | | | | | | | | | | simplifying with (114), (3757) gives:
% 255.33/64.66 | | | | | | | | | | | | | | (3759) all_4_99 = n7
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.33/64.66 | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.33/64.66 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.66 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.66 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.66 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.66 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.66 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.66 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.66 | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.66 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.66 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.66 | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.66 | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.66 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.66 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3757),
% 255.33/64.66 | | | | | | | | | | | | | | (3758), (3759) are inconsistent by sub-proof #211.
% 255.33/64.66 | | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | | End of split
% 255.33/64.66 | | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | | End of split
% 255.33/64.66 | | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | | End of split
% 255.33/64.66 | | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | | End of split
% 255.33/64.66 | | | | | | | | | |
% 255.33/64.66 | | | | | | | | | End of split
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | End of split
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | End of split
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | End of split
% 255.33/64.66 | | | | | |
% 255.33/64.66 | | | | | Case 2:
% 255.33/64.66 | | | | | |
% 255.33/64.66 | | | | | | (3760) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 255.33/64.66 | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.33/64.66 | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.33/64.66 | | | | | |
% 255.33/64.66 | | | | | | BETA: splitting (3607) gives:
% 255.33/64.66 | | | | | |
% 255.33/64.66 | | | | | | Case 1:
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | (3761) all_4_101 = n8
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | REDUCE: (229), (3761) imply:
% 255.33/64.66 | | | | | | | (3762) pred(n8) = all_4_79
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | REDUCE: (198), (3761) imply:
% 255.33/64.66 | | | | | | | (3763) succ(n8) = all_4_75
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8, simplifying
% 255.33/64.66 | | | | | | | with (195), (3763) gives:
% 255.33/64.66 | | | | | | | (3764) all_4_75 = n9
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8, simplifying
% 255.33/64.66 | | | | | | | with (226), (3762) gives:
% 255.33/64.66 | | | | | | | (3765) all_4_79 = n7
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | REDUCE: (131), (3764) imply:
% 255.33/64.66 | | | | | | | (3766) sum(all_4_76, n9) = all_4_74
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | REDUCE: (128), (3764), (3765) imply:
% 255.33/64.66 | | | | | | | (3767) sum(n7, n9) = all_4_73
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | REDUCE: (127), (3765) imply:
% 255.33/64.66 | | | | | | | (3768) sum(n7, all_4_78) = all_4_77
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 255.33/64.66 | | | | | | | simplifying with (92), (3767) gives:
% 255.33/64.66 | | | | | | | (3769) all_4_73 = n5
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | REDUCE: (132), (3769) imply:
% 255.33/64.66 | | | | | | | (3770) sum(n5, all_4_72) = all_4_98
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | BETA: splitting (3760) gives:
% 255.33/64.66 | | | | | | |
% 255.33/64.66 | | | | | | | Case 1:
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | (3771) all_4_100 = n8
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (230), (3771) imply:
% 255.33/64.66 | | | | | | | | (3772) pred(n8) = all_4_76
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (199), (3771) imply:
% 255.33/64.66 | | | | | | | | (3773) succ(n8) = all_4_78
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 255.33/64.66 | | | | | | | | simplifying with (195), (3773) gives:
% 255.33/64.66 | | | | | | | | (3774) all_4_78 = n9
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 255.33/64.66 | | | | | | | | simplifying with (226), (3772) gives:
% 255.33/64.66 | | | | | | | | (3775) all_4_76 = n7
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (130), (3774), (3775) imply:
% 255.33/64.66 | | | | | | | | (3776) sum(n7, n9) = all_4_72
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (3766), (3775) imply:
% 255.33/64.66 | | | | | | | | (3777) sum(n7, n9) = all_4_74
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (3768), (3774) imply:
% 255.33/64.66 | | | | | | | | (3778) sum(n7, n9) = all_4_77
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n9, n7,
% 255.33/64.66 | | | | | | | | simplifying with (92), (3777) gives:
% 255.33/64.66 | | | | | | | | (3779) all_4_74 = n5
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n9, n7,
% 255.33/64.66 | | | | | | | | simplifying with (3776), (3777) gives:
% 255.33/64.66 | | | | | | | | (3780) all_4_72 = all_4_74
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n9, n7,
% 255.33/64.66 | | | | | | | | simplifying with (3776), (3778) gives:
% 255.33/64.66 | | | | | | | | (3781) all_4_72 = all_4_77
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | COMBINE_EQS: (3780), (3781) imply:
% 255.33/64.66 | | | | | | | | (3782) all_4_74 = all_4_77
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | SIMP: (3782) implies:
% 255.33/64.66 | | | | | | | | (3783) all_4_74 = all_4_77
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | COMBINE_EQS: (3779), (3783) imply:
% 255.33/64.66 | | | | | | | | (3784) all_4_77 = n5
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | COMBINE_EQS: (3781), (3784) imply:
% 255.33/64.66 | | | | | | | | (3785) all_4_72 = n5
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (129), (3779), (3784) imply:
% 255.33/64.66 | | | | | | | | (3786) sum(n5, n5) = all_4_99
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REDUCE: (3770), (3785) imply:
% 255.33/64.66 | | | | | | | | (3787) sum(n5, n5) = all_4_98
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n5, n5,
% 255.33/64.66 | | | | | | | | simplifying with (66), (3787) gives:
% 255.33/64.66 | | | | | | | | (3788) all_4_98 = n10
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n5, n5,
% 255.33/64.66 | | | | | | | | simplifying with (3786), (3787) gives:
% 255.33/64.66 | | | | | | | | (3789) all_4_98 = all_4_99
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | COMBINE_EQS: (3788), (3789) imply:
% 255.33/64.66 | | | | | | | | (3790) all_4_99 = n10
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | SIMP: (3790) implies:
% 255.33/64.66 | | | | | | | | (3791) all_4_99 = n10
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 255.33/64.66 | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.66 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.66 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.66 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.66 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.66 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.66 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.66 | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.66 | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.66 | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.66 | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.66 | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.66 | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.66 | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.66 | | | | | | | | (244), (245), (246), (247), (248), (3263), (3786),
% 255.33/64.66 | | | | | | | | (3788), (3791) are inconsistent by sub-proof #207.
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | Case 2:
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | (3792) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 255.33/64.66 | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.33/64.66 | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | BETA: splitting (3792) gives:
% 255.33/64.66 | | | | | | | |
% 255.33/64.66 | | | | | | | | Case 1:
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | (3793) all_4_100 = n7
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | REDUCE: (230), (3793) imply:
% 255.33/64.66 | | | | | | | | | (3794) pred(n7) = all_4_76
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | REDUCE: (199), (3793) imply:
% 255.33/64.66 | | | | | | | | | (3795) succ(n7) = all_4_78
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 255.33/64.66 | | | | | | | | | simplifying with (194), (3795) gives:
% 255.33/64.66 | | | | | | | | | (3796) all_4_78 = n8
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 255.33/64.66 | | | | | | | | | simplifying with (225), (3794) gives:
% 255.33/64.66 | | | | | | | | | (3797) all_4_76 = n6
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | REDUCE: (130), (3796), (3797) imply:
% 255.33/64.66 | | | | | | | | | (3798) sum(n6, n8) = all_4_72
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | REDUCE: (3766), (3797) imply:
% 255.33/64.66 | | | | | | | | | (3799) sum(n6, n9) = all_4_74
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | REDUCE: (3768), (3796) imply:
% 255.33/64.66 | | | | | | | | | (3800) sum(n7, n8) = all_4_77
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 255.33/64.66 | | | | | | | | | simplifying with (80), (3798) gives:
% 255.33/64.66 | | | | | | | | | (3801) all_4_72 = n3
% 255.33/64.66 | | | | | | | | |
% 255.33/64.66 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n9, n6,
% 255.33/64.66 | | | | | | | | | simplifying with (81), (3799) gives:
% 255.33/64.66 | | | | | | | | | (3802) all_4_74 = n4
% 255.33/64.66 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n8, n7,
% 255.33/64.67 | | | | | | | | | simplifying with (91), (3800) gives:
% 255.33/64.67 | | | | | | | | | (3803) all_4_77 = n4
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | REDUCE: (129), (3802), (3803) imply:
% 255.33/64.67 | | | | | | | | | (3804) sum(n4, n4) = all_4_99
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | REDUCE: (3770), (3801) imply:
% 255.33/64.67 | | | | | | | | | (3805) sum(n5, n3) = all_4_98
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 255.33/64.67 | | | | | | | | | simplifying with (54), (3804) gives:
% 255.33/64.67 | | | | | | | | | (3806) all_4_99 = n8
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n3, n5,
% 255.33/64.67 | | | | | | | | | simplifying with (64), (3805) gives:
% 255.33/64.67 | | | | | | | | | (3807) all_4_98 = n8
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 255.33/64.67 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.67 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.67 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.67 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.67 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.67 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.67 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.67 | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.67 | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.67 | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.67 | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.67 | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.67 | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.67 | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.67 | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3804),
% 255.33/64.67 | | | | | | | | | (3806), (3807) are inconsistent by sub-proof #206.
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | Case 2:
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | (3808) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 255.33/64.67 | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.33/64.67 | | | | | | | | | all_4_100 = n0
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | BETA: splitting (3808) gives:
% 255.33/64.67 | | | | | | | | |
% 255.33/64.67 | | | | | | | | | Case 1:
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | (3809) all_4_100 = n6
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (230), (3809) imply:
% 255.33/64.67 | | | | | | | | | | (3810) pred(n6) = all_4_76
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (199), (3809) imply:
% 255.33/64.67 | | | | | | | | | | (3811) succ(n6) = all_4_78
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 255.33/64.67 | | | | | | | | | | simplifying with (193), (3811) gives:
% 255.33/64.67 | | | | | | | | | | (3812) all_4_78 = n7
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 255.33/64.67 | | | | | | | | | | simplifying with (224), (3810) gives:
% 255.33/64.67 | | | | | | | | | | (3813) all_4_76 = n5
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (130), (3812), (3813) imply:
% 255.33/64.67 | | | | | | | | | | (3814) sum(n5, n7) = all_4_72
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (3766), (3813) imply:
% 255.33/64.67 | | | | | | | | | | (3815) sum(n5, n9) = all_4_74
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (3768), (3812) imply:
% 255.33/64.67 | | | | | | | | | | (3816) sum(n7, n7) = all_4_77
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 255.33/64.67 | | | | | | | | | | simplifying with (68), (3814) gives:
% 255.33/64.67 | | | | | | | | | | (3817) all_4_72 = n1
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n9, n5,
% 255.33/64.67 | | | | | | | | | | simplifying with (70), (3815) gives:
% 255.33/64.67 | | | | | | | | | | (3818) all_4_74 = n3
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n7, n7,
% 255.33/64.67 | | | | | | | | | | simplifying with (90), (3816) gives:
% 255.33/64.67 | | | | | | | | | | (3819) all_4_77 = n3
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (129), (3818), (3819) imply:
% 255.33/64.67 | | | | | | | | | | (3820) sum(n3, n3) = all_4_99
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REDUCE: (3770), (3817) imply:
% 255.33/64.67 | | | | | | | | | | (3821) sum(n5, n1) = all_4_98
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 255.33/64.67 | | | | | | | | | | simplifying with (42), (3820) gives:
% 255.33/64.67 | | | | | | | | | | (3822) all_4_99 = n6
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n1, n5,
% 255.33/64.67 | | | | | | | | | | simplifying with (62), (3821) gives:
% 255.33/64.67 | | | | | | | | | | (3823) all_4_98 = n6
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 255.33/64.67 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.67 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.67 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.67 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.67 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.67 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.67 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.67 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.67 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.67 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.67 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.67 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.67 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.67 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.67 | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3820),
% 255.33/64.67 | | | | | | | | | | (3822), (3823) are inconsistent by sub-proof #205.
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | Case 2:
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | (3824) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.33/64.67 | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | BETA: splitting (3824) gives:
% 255.33/64.67 | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | Case 1:
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | (3825) all_4_100 = n5
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (230), (3825) imply:
% 255.33/64.67 | | | | | | | | | | | (3826) pred(n5) = all_4_76
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (199), (3825) imply:
% 255.33/64.67 | | | | | | | | | | | (3827) succ(n5) = all_4_78
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 255.33/64.67 | | | | | | | | | | | simplifying with (192), (3827) gives:
% 255.33/64.67 | | | | | | | | | | | (3828) all_4_78 = n6
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 255.33/64.67 | | | | | | | | | | | simplifying with (223), (3826) gives:
% 255.33/64.67 | | | | | | | | | | | (3829) all_4_76 = n4
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (130), (3828), (3829) imply:
% 255.33/64.67 | | | | | | | | | | | (3830) sum(n4, n6) = all_4_72
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (3766), (3829) imply:
% 255.33/64.67 | | | | | | | | | | | (3831) sum(n4, n9) = all_4_74
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (3768), (3828) imply:
% 255.33/64.67 | | | | | | | | | | | (3832) sum(n7, n6) = all_4_77
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 255.33/64.67 | | | | | | | | | | | simplifying with (56), (3830) gives:
% 255.33/64.67 | | | | | | | | | | | (3833) all_4_72 = n10
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 255.33/64.67 | | | | | | | | | | | simplifying with (59), (3831) gives:
% 255.33/64.67 | | | | | | | | | | | (3834) all_4_74 = n2
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 255.33/64.67 | | | | | | | | | | | simplifying with (89), (3832) gives:
% 255.33/64.67 | | | | | | | | | | | (3835) all_4_77 = n2
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (129), (3834), (3835) imply:
% 255.33/64.67 | | | | | | | | | | | (3836) sum(n2, n2) = all_4_99
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REDUCE: (3770), (3833) imply:
% 255.33/64.67 | | | | | | | | | | | (3837) sum(n5, n10) = all_4_98
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.33/64.67 | | | | | | | | | | | simplifying with (30), (3836) gives:
% 255.33/64.67 | | | | | | | | | | | (3838) all_4_99 = n4
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 255.33/64.67 | | | | | | | | | | | simplifying with (71), (3837) gives:
% 255.33/64.67 | | | | | | | | | | | (3839) all_4_98 = n4
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.33/64.67 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.33/64.67 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.67 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.67 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.67 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.67 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.67 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.67 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.67 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.33/64.67 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.67 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.67 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.33/64.67 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.33/64.67 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.67 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3836),
% 255.33/64.67 | | | | | | | | | | | (3838), (3839) are inconsistent by sub-proof #204.
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | Case 2:
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | (3840) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.33/64.67 | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | BETA: splitting (3840) gives:
% 255.33/64.67 | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | Case 1:
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | (3841) all_4_100 = n4
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (230), (3841) imply:
% 255.33/64.67 | | | | | | | | | | | | (3842) pred(n4) = all_4_76
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (199), (3841) imply:
% 255.33/64.67 | | | | | | | | | | | | (3843) succ(n4) = all_4_78
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (191), (3843) gives:
% 255.33/64.67 | | | | | | | | | | | | (3844) all_4_78 = n5
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (222), (3842) gives:
% 255.33/64.67 | | | | | | | | | | | | (3845) all_4_76 = n3
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (130), (3844), (3845) imply:
% 255.33/64.67 | | | | | | | | | | | | (3846) sum(n3, n5) = all_4_72
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (3766), (3845) imply:
% 255.33/64.67 | | | | | | | | | | | | (3847) sum(n3, n9) = all_4_74
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (3768), (3844) imply:
% 255.33/64.67 | | | | | | | | | | | | (3848) sum(n7, n5) = all_4_77
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (44), (3846) gives:
% 255.33/64.67 | | | | | | | | | | | | (3849) all_4_72 = n8
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (48), (3847) gives:
% 255.33/64.67 | | | | | | | | | | | | (3850) all_4_74 = n1
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (88), (3848) gives:
% 255.33/64.67 | | | | | | | | | | | | (3851) all_4_77 = n1
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (129), (3850), (3851) imply:
% 255.33/64.67 | | | | | | | | | | | | (3852) sum(n1, n1) = all_4_99
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REDUCE: (3770), (3849) imply:
% 255.33/64.67 | | | | | | | | | | | | (3853) sum(n5, n8) = all_4_98
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (18), (3852) gives:
% 255.33/64.67 | | | | | | | | | | | | (3854) all_4_99 = n2
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 255.33/64.67 | | | | | | | | | | | | simplifying with (69), (3853) gives:
% 255.33/64.67 | | | | | | | | | | | | (3855) all_4_98 = n2
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.33/64.67 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.33/64.67 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.33/64.67 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.33/64.67 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.33/64.67 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.33/64.67 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.33/64.67 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.33/64.67 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.33/64.67 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.33/64.67 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.33/64.67 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.33/64.67 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.33/64.67 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.33/64.67 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.33/64.67 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3852),
% 255.33/64.67 | | | | | | | | | | | | (3854), (3855) are inconsistent by sub-proof #203.
% 255.33/64.67 | | | | | | | | | | | |
% 255.33/64.67 | | | | | | | | | | | Case 2:
% 255.33/64.67 | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | (3856) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.54/64.67 | | | | | | | | | | | | all_4_100 = n0
% 255.54/64.67 | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | BETA: splitting (3856) gives:
% 255.54/64.67 | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | Case 1:
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | (3857) all_4_100 = n3
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | REDUCE: (230), (3857) imply:
% 255.54/64.67 | | | | | | | | | | | | | (3858) pred(n3) = all_4_76
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | REDUCE: (199), (3857) imply:
% 255.54/64.67 | | | | | | | | | | | | | (3859) succ(n3) = all_4_78
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.54/64.67 | | | | | | | | | | | | | simplifying with (190), (3859) gives:
% 255.54/64.67 | | | | | | | | | | | | | (3860) all_4_78 = n4
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.54/64.67 | | | | | | | | | | | | | simplifying with (221), (3858) gives:
% 255.54/64.67 | | | | | | | | | | | | | (3861) all_4_76 = n2
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | REDUCE: (130), (3860), (3861) imply:
% 255.54/64.67 | | | | | | | | | | | | | (3862) sum(n2, n4) = all_4_72
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | REDUCE: (3766), (3861) imply:
% 255.54/64.67 | | | | | | | | | | | | | (3863) sum(n2, n9) = all_4_74
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.67 | | | | | | | | | | | | | REDUCE: (3768), (3860) imply:
% 255.54/64.67 | | | | | | | | | | | | | (3864) sum(n7, n4) = all_4_77
% 255.54/64.67 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.54/64.68 | | | | | | | | | | | | | simplifying with (32), (3862) gives:
% 255.54/64.68 | | | | | | | | | | | | | (3865) all_4_72 = n6
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 255.54/64.68 | | | | | | | | | | | | | simplifying with (37), (3863) gives:
% 255.54/64.68 | | | | | | | | | | | | | (3866) all_4_74 = n0
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 255.54/64.68 | | | | | | | | | | | | | simplifying with (87), (3864) gives:
% 255.54/64.68 | | | | | | | | | | | | | (3867) all_4_77 = n0
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | REDUCE: (129), (3866), (3867) imply:
% 255.54/64.68 | | | | | | | | | | | | | (3868) sum(n0, n0) = all_4_99
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | REDUCE: (3770), (3865) imply:
% 255.54/64.68 | | | | | | | | | | | | | (3869) sum(n5, n6) = all_4_98
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.54/64.68 | | | | | | | | | | | | | simplifying with (6), (3868) gives:
% 255.54/64.68 | | | | | | | | | | | | | (3870) all_4_99 = n0
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 255.54/64.68 | | | | | | | | | | | | | simplifying with (67), (3869) gives:
% 255.54/64.68 | | | | | | | | | | | | | (3871) all_4_98 = n0
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.54/64.68 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.68 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.68 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.68 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.68 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.68 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.68 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.68 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.54/64.68 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.54/64.68 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.54/64.68 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.54/64.68 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.54/64.68 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (3868),
% 255.54/64.68 | | | | | | | | | | | | | (3870), (3871) are inconsistent by sub-proof #201.
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | Case 2:
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | (3872) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | BETA: splitting (3872) gives:
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | Case 1:
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | (3873) all_4_100 = n2
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (230), (3873) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3874) pred(n2) = all_4_76
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (199), (3873) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3875) succ(n2) = all_4_78
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (189), (3875) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3876) all_4_78 = n3
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (220), (3874) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3877) all_4_76 = n1
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (130), (3876), (3877) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3878) sum(n1, n3) = all_4_72
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (3766), (3877) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3879) sum(n1, n9) = all_4_74
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (3768), (3876) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3880) sum(n7, n3) = all_4_77
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (20), (3878) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3881) all_4_72 = n4
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (26), (3879) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3882) all_4_74 = n10
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (86), (3880) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3883) all_4_77 = n10
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (129), (3882), (3883) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3884) sum(n10, n10) = all_4_99
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REDUCE: (3770), (3881) imply:
% 255.54/64.68 | | | | | | | | | | | | | | (3885) sum(n5, n4) = all_4_98
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (65), (3885) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3886) all_4_98 = n9
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.54/64.68 | | | | | | | | | | | | | | simplifying with (126), (3884) gives:
% 255.54/64.68 | | | | | | | | | | | | | | (3887) all_4_99 = n9
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.68 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.54/64.68 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.68 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.68 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.68 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.68 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.68 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.68 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.68 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.68 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.68 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.68 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.68 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.68 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.68 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3884),
% 255.54/64.68 | | | | | | | | | | | | | | (3886), (3887) are inconsistent by sub-proof #200.
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | Case 2:
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | (3888) all_4_100 = n1 | all_4_100 = n0
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | BETA: splitting (3888) gives:
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | Case 1:
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | (3889) all_4_100 = n1
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (230), (3889) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3890) pred(n1) = all_4_76
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (199), (3889) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3891) succ(n1) = all_4_78
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (188), (3891) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3892) all_4_78 = n2
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (219), (3890) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3893) all_4_76 = n0
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (130), (3892), (3893) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3894) sum(n0, n2) = all_4_72
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (3766), (3893) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3895) sum(n0, n9) = all_4_74
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (3768), (3892) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3896) sum(n7, n2) = all_4_77
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (8), (3894) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3897) all_4_72 = n2
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n9, n0,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (15), (3895) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3898) all_4_74 = n9
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n2, n7,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (85), (3896) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3899) all_4_77 = n9
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (129), (3898), (3899) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3900) sum(n9, n9) = all_4_99
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (3770), (3897) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3901) sum(n5, n2) = all_4_98
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n2, n5,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (63), (3901) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3902) all_4_98 = n7
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (114), (3900) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3903) all_4_99 = n7
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.54/64.68 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.54/64.68 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.68 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.68 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.68 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.68 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.68 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.68 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.68 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.68 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.68 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.68 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.68 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.68 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.68 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3900),
% 255.54/64.68 | | | | | | | | | | | | | | | (3902), (3903) are inconsistent by sub-proof #211.
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | Case 2:
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | (3904) all_4_100 = n0
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (230), (3904) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3905) pred(n0) = all_4_76
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (199), (3904) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3906) succ(n0) = all_4_78
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (187), (3906) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3907) all_4_78 = n1
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (218), (3905) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3908) all_4_76 = n10
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (130), (3907), (3908) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3909) sum(n10, n1) = all_4_72
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (3766), (3908) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3910) sum(n10, n9) = all_4_74
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (3768), (3907) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3911) sum(n7, n1) = all_4_77
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n1, n7,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (84), (3911) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3912) all_4_77 = n8
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (117), (3909) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3913) all_4_72 = n0
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n9, n10,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (125), (3910) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3914) all_4_74 = n8
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (129), (3912), (3914) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3915) sum(n8, n8) = all_4_99
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REDUCE: (3770), (3913) imply:
% 255.54/64.68 | | | | | | | | | | | | | | | (3916) sum(n5, n0) = all_4_98
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n0, n5,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (61), (3916) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3917) all_4_98 = n5
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.54/64.68 | | | | | | | | | | | | | | | simplifying with (102), (3915) gives:
% 255.54/64.68 | | | | | | | | | | | | | | | (3918) all_4_99 = n5
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.68 | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.54/64.68 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.68 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.68 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.68 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.68 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.68 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.68 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.68 | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.68 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.68 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.68 | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.68 | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.68 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.68 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3915),
% 255.54/64.68 | | | | | | | | | | | | | | | (3917), (3918) are inconsistent by sub-proof #210.
% 255.54/64.68 | | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | | End of split
% 255.54/64.68 | | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | | End of split
% 255.54/64.68 | | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | | End of split
% 255.54/64.68 | | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | | End of split
% 255.54/64.68 | | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | | End of split
% 255.54/64.68 | | | | | | | | | |
% 255.54/64.68 | | | | | | | | | End of split
% 255.54/64.68 | | | | | | | | |
% 255.54/64.68 | | | | | | | | End of split
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | End of split
% 255.54/64.68 | | | | | | |
% 255.54/64.68 | | | | | | Case 2:
% 255.54/64.68 | | | | | | |
% 255.54/64.68 | | | | | | | (3919) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 255.54/64.68 | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.54/64.68 | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.68 | | | | | | |
% 255.54/64.68 | | | | | | | BETA: splitting (3760) gives:
% 255.54/64.68 | | | | | | |
% 255.54/64.68 | | | | | | | Case 1:
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | | (3920) all_4_100 = n8
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | | REDUCE: (230), (3920) imply:
% 255.54/64.68 | | | | | | | | (3921) pred(n8) = all_4_76
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | | REDUCE: (199), (3920) imply:
% 255.54/64.68 | | | | | | | | (3922) succ(n8) = all_4_78
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 255.54/64.68 | | | | | | | | simplifying with (195), (3922) gives:
% 255.54/64.68 | | | | | | | | (3923) all_4_78 = n9
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 255.54/64.68 | | | | | | | | simplifying with (226), (3921) gives:
% 255.54/64.68 | | | | | | | | (3924) all_4_76 = n7
% 255.54/64.68 | | | | | | | |
% 255.54/64.68 | | | | | | | | REDUCE: (131), (3924) imply:
% 255.54/64.69 | | | | | | | | (3925) sum(n7, all_4_75) = all_4_74
% 255.54/64.69 | | | | | | | |
% 255.54/64.69 | | | | | | | | REDUCE: (130), (3923), (3924) imply:
% 255.54/64.69 | | | | | | | | (3926) sum(n7, n9) = all_4_72
% 255.54/64.69 | | | | | | | |
% 255.54/64.69 | | | | | | | | REDUCE: (127), (3923) imply:
% 255.54/64.69 | | | | | | | | (3927) sum(all_4_79, n9) = all_4_77
% 255.54/64.69 | | | | | | | |
% 255.54/64.69 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 255.54/64.69 | | | | | | | | simplifying with (92), (3926) gives:
% 255.54/64.69 | | | | | | | | (3928) all_4_72 = n5
% 255.54/64.69 | | | | | | | |
% 255.54/64.69 | | | | | | | | REDUCE: (132), (3928) imply:
% 255.54/64.69 | | | | | | | | (3929) sum(all_4_73, n5) = all_4_98
% 255.54/64.69 | | | | | | | |
% 255.54/64.69 | | | | | | | | BETA: splitting (3919) gives:
% 255.54/64.69 | | | | | | | |
% 255.54/64.69 | | | | | | | | Case 1:
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | (3930) all_4_101 = n7
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (229), (3930) imply:
% 255.54/64.69 | | | | | | | | | (3931) pred(n7) = all_4_79
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (198), (3930) imply:
% 255.54/64.69 | | | | | | | | | (3932) succ(n7) = all_4_75
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 255.54/64.69 | | | | | | | | | simplifying with (194), (3932) gives:
% 255.54/64.69 | | | | | | | | | (3933) all_4_75 = n8
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 255.54/64.69 | | | | | | | | | simplifying with (225), (3931) gives:
% 255.54/64.69 | | | | | | | | | (3934) all_4_79 = n6
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (128), (3933), (3934) imply:
% 255.54/64.69 | | | | | | | | | (3935) sum(n6, n8) = all_4_73
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (3927), (3934) imply:
% 255.54/64.69 | | | | | | | | | (3936) sum(n6, n9) = all_4_77
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (3925), (3933) imply:
% 255.54/64.69 | | | | | | | | | (3937) sum(n7, n8) = all_4_74
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 255.54/64.69 | | | | | | | | | simplifying with (80), (3935) gives:
% 255.54/64.69 | | | | | | | | | (3938) all_4_73 = n3
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n9, n6,
% 255.54/64.69 | | | | | | | | | simplifying with (81), (3936) gives:
% 255.54/64.69 | | | | | | | | | (3939) all_4_77 = n4
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n8, n7,
% 255.54/64.69 | | | | | | | | | simplifying with (91), (3937) gives:
% 255.54/64.69 | | | | | | | | | (3940) all_4_74 = n4
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (3929), (3938) imply:
% 255.54/64.69 | | | | | | | | | (3941) sum(n3, n5) = all_4_98
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REDUCE: (129), (3939), (3940) imply:
% 255.54/64.69 | | | | | | | | | (3942) sum(n4, n4) = all_4_99
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n5, n3,
% 255.54/64.69 | | | | | | | | | simplifying with (44), (3941) gives:
% 255.54/64.69 | | | | | | | | | (3943) all_4_98 = n8
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 255.54/64.69 | | | | | | | | | simplifying with (54), (3942) gives:
% 255.54/64.69 | | | | | | | | | (3944) all_4_99 = n8
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 255.54/64.69 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.54/64.69 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.69 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.69 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.69 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.69 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.69 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.69 | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.69 | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.69 | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.69 | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.69 | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.69 | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.69 | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.69 | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3942),
% 255.54/64.69 | | | | | | | | | (3943), (3944) are inconsistent by sub-proof #206.
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | Case 2:
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | (3945) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 255.54/64.69 | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.54/64.69 | | | | | | | | | all_4_101 = n0
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | BETA: splitting (3945) gives:
% 255.54/64.69 | | | | | | | | |
% 255.54/64.69 | | | | | | | | | Case 1:
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | (3946) all_4_101 = n6
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (229), (3946) imply:
% 255.54/64.69 | | | | | | | | | | (3947) pred(n6) = all_4_79
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (198), (3946) imply:
% 255.54/64.69 | | | | | | | | | | (3948) succ(n6) = all_4_75
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 255.54/64.69 | | | | | | | | | | simplifying with (193), (3948) gives:
% 255.54/64.69 | | | | | | | | | | (3949) all_4_75 = n7
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 255.54/64.69 | | | | | | | | | | simplifying with (224), (3947) gives:
% 255.54/64.69 | | | | | | | | | | (3950) all_4_79 = n5
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (128), (3949), (3950) imply:
% 255.54/64.69 | | | | | | | | | | (3951) sum(n5, n7) = all_4_73
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (3927), (3950) imply:
% 255.54/64.69 | | | | | | | | | | (3952) sum(n5, n9) = all_4_77
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (3925), (3949) imply:
% 255.54/64.69 | | | | | | | | | | (3953) sum(n7, n7) = all_4_74
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 255.54/64.69 | | | | | | | | | | simplifying with (68), (3951) gives:
% 255.54/64.69 | | | | | | | | | | (3954) all_4_73 = n1
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n9, n5,
% 255.54/64.69 | | | | | | | | | | simplifying with (70), (3952) gives:
% 255.54/64.69 | | | | | | | | | | (3955) all_4_77 = n3
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n7, n7,
% 255.54/64.69 | | | | | | | | | | simplifying with (90), (3953) gives:
% 255.54/64.69 | | | | | | | | | | (3956) all_4_74 = n3
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (3929), (3954) imply:
% 255.54/64.69 | | | | | | | | | | (3957) sum(n1, n5) = all_4_98
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REDUCE: (129), (3955), (3956) imply:
% 255.54/64.69 | | | | | | | | | | (3958) sum(n3, n3) = all_4_99
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n5, n1,
% 255.54/64.69 | | | | | | | | | | simplifying with (22), (3957) gives:
% 255.54/64.69 | | | | | | | | | | (3959) all_4_98 = n6
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 255.54/64.69 | | | | | | | | | | simplifying with (42), (3958) gives:
% 255.54/64.69 | | | | | | | | | | (3960) all_4_99 = n6
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 255.54/64.69 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.54/64.69 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.69 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.69 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.69 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.69 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.69 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.69 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.69 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.69 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.69 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.69 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.69 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.69 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.69 | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3958),
% 255.54/64.69 | | | | | | | | | | (3959), (3960) are inconsistent by sub-proof #205.
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | Case 2:
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | (3961) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 255.54/64.69 | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | BETA: splitting (3961) gives:
% 255.54/64.69 | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | Case 1:
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | (3962) all_4_101 = n5
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (229), (3962) imply:
% 255.54/64.69 | | | | | | | | | | | (3963) pred(n5) = all_4_79
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (198), (3962) imply:
% 255.54/64.69 | | | | | | | | | | | (3964) succ(n5) = all_4_75
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 255.54/64.69 | | | | | | | | | | | simplifying with (192), (3964) gives:
% 255.54/64.69 | | | | | | | | | | | (3965) all_4_75 = n6
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 255.54/64.69 | | | | | | | | | | | simplifying with (223), (3963) gives:
% 255.54/64.69 | | | | | | | | | | | (3966) all_4_79 = n4
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (128), (3965), (3966) imply:
% 255.54/64.69 | | | | | | | | | | | (3967) sum(n4, n6) = all_4_73
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (3927), (3966) imply:
% 255.54/64.69 | | | | | | | | | | | (3968) sum(n4, n9) = all_4_77
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (3925), (3965) imply:
% 255.54/64.69 | | | | | | | | | | | (3969) sum(n7, n6) = all_4_74
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 255.54/64.69 | | | | | | | | | | | simplifying with (56), (3967) gives:
% 255.54/64.69 | | | | | | | | | | | (3970) all_4_73 = n10
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n9, n4,
% 255.54/64.69 | | | | | | | | | | | simplifying with (59), (3968) gives:
% 255.54/64.69 | | | | | | | | | | | (3971) all_4_77 = n2
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n6, n7,
% 255.54/64.69 | | | | | | | | | | | simplifying with (89), (3969) gives:
% 255.54/64.69 | | | | | | | | | | | (3972) all_4_74 = n2
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (3929), (3970) imply:
% 255.54/64.69 | | | | | | | | | | | (3973) sum(n10, n5) = all_4_98
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REDUCE: (129), (3971), (3972) imply:
% 255.54/64.69 | | | | | | | | | | | (3974) sum(n2, n2) = all_4_99
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.54/64.69 | | | | | | | | | | | simplifying with (30), (3974) gives:
% 255.54/64.69 | | | | | | | | | | | (3975) all_4_99 = n4
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n5, n10,
% 255.54/64.69 | | | | | | | | | | | simplifying with (121), (3973) gives:
% 255.54/64.69 | | | | | | | | | | | (3976) all_4_98 = n4
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.54/64.69 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.54/64.69 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.69 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.69 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.69 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.69 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.69 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.69 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.69 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.69 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.69 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.69 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.69 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.69 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.69 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3974),
% 255.54/64.69 | | | | | | | | | | | (3975), (3976) are inconsistent by sub-proof #204.
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | Case 2:
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | (3977) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.54/64.69 | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | BETA: splitting (3977) gives:
% 255.54/64.69 | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | Case 1:
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | (3978) all_4_101 = n4
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (229), (3978) imply:
% 255.54/64.69 | | | | | | | | | | | | (3979) pred(n4) = all_4_79
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (198), (3978) imply:
% 255.54/64.69 | | | | | | | | | | | | (3980) succ(n4) = all_4_75
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (191), (3980) gives:
% 255.54/64.69 | | | | | | | | | | | | (3981) all_4_75 = n5
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (222), (3979) gives:
% 255.54/64.69 | | | | | | | | | | | | (3982) all_4_79 = n3
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (128), (3981), (3982) imply:
% 255.54/64.69 | | | | | | | | | | | | (3983) sum(n3, n5) = all_4_73
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (3927), (3982) imply:
% 255.54/64.69 | | | | | | | | | | | | (3984) sum(n3, n9) = all_4_77
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (3925), (3981) imply:
% 255.54/64.69 | | | | | | | | | | | | (3985) sum(n7, n5) = all_4_74
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (44), (3983) gives:
% 255.54/64.69 | | | | | | | | | | | | (3986) all_4_73 = n8
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (48), (3984) gives:
% 255.54/64.69 | | | | | | | | | | | | (3987) all_4_77 = n1
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (88), (3985) gives:
% 255.54/64.69 | | | | | | | | | | | | (3988) all_4_74 = n1
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (3929), (3986) imply:
% 255.54/64.69 | | | | | | | | | | | | (3989) sum(n8, n5) = all_4_98
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | REDUCE: (129), (3987), (3988) imply:
% 255.54/64.69 | | | | | | | | | | | | (3990) sum(n1, n1) = all_4_99
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (18), (3990) gives:
% 255.54/64.69 | | | | | | | | | | | | (3991) all_4_99 = n2
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.69 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 255.54/64.69 | | | | | | | | | | | | simplifying with (99), (3989) gives:
% 255.54/64.69 | | | | | | | | | | | | (3992) all_4_98 = n2
% 255.54/64.69 | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.54/64.70 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.54/64.70 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.70 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.70 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.70 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.70 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.70 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.70 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.70 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.70 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.70 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.70 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.70 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.70 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.70 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (3990),
% 255.54/64.70 | | | | | | | | | | | | (3991), (3992) are inconsistent by sub-proof #203.
% 255.54/64.70 | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | Case 2:
% 255.54/64.70 | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | (3993) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.54/64.70 | | | | | | | | | | | | all_4_101 = n0
% 255.54/64.70 | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | BETA: splitting (3993) gives:
% 255.54/64.70 | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | Case 1:
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | (3994) all_4_101 = n3
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (229), (3994) imply:
% 255.54/64.70 | | | | | | | | | | | | | (3995) pred(n3) = all_4_79
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (198), (3994) imply:
% 255.54/64.70 | | | | | | | | | | | | | (3996) succ(n3) = all_4_75
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (190), (3996) gives:
% 255.54/64.70 | | | | | | | | | | | | | (3997) all_4_75 = n4
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (221), (3995) gives:
% 255.54/64.70 | | | | | | | | | | | | | (3998) all_4_79 = n2
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (128), (3997), (3998) imply:
% 255.54/64.70 | | | | | | | | | | | | | (3999) sum(n2, n4) = all_4_73
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (3927), (3998) imply:
% 255.54/64.70 | | | | | | | | | | | | | (4000) sum(n2, n9) = all_4_77
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (3925), (3997) imply:
% 255.54/64.70 | | | | | | | | | | | | | (4001) sum(n7, n4) = all_4_74
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (32), (3999) gives:
% 255.54/64.70 | | | | | | | | | | | | | (4002) all_4_73 = n6
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (37), (4000) gives:
% 255.54/64.70 | | | | | | | | | | | | | (4003) all_4_77 = n0
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (87), (4001) gives:
% 255.54/64.70 | | | | | | | | | | | | | (4004) all_4_74 = n0
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (3929), (4002) imply:
% 255.54/64.70 | | | | | | | | | | | | | (4005) sum(n6, n5) = all_4_98
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REDUCE: (129), (4003), (4004) imply:
% 255.54/64.70 | | | | | | | | | | | | | (4006) sum(n0, n0) = all_4_99
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (6), (4006) gives:
% 255.54/64.70 | | | | | | | | | | | | | (4007) all_4_99 = n0
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 255.54/64.70 | | | | | | | | | | | | | simplifying with (77), (4005) gives:
% 255.54/64.70 | | | | | | | | | | | | | (4008) all_4_98 = n0
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.54/64.70 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.70 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.70 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.70 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.70 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.70 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.70 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.70 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.54/64.70 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.54/64.70 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.54/64.70 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.54/64.70 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.54/64.70 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (4006),
% 255.54/64.70 | | | | | | | | | | | | | (4007), (4008) are inconsistent by sub-proof #201.
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | Case 2:
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | (4009) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | BETA: splitting (4009) gives:
% 255.54/64.70 | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | Case 1:
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | (4010) all_4_101 = n2
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (229), (4010) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4011) pred(n2) = all_4_79
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (198), (4010) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4012) succ(n2) = all_4_75
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (189), (4012) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4013) all_4_75 = n3
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (220), (4011) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4014) all_4_79 = n1
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (128), (4013), (4014) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4015) sum(n1, n3) = all_4_73
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (3927), (4014) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4016) sum(n1, n9) = all_4_77
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (3925), (4013) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4017) sum(n7, n3) = all_4_74
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (20), (4015) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4018) all_4_73 = n4
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (26), (4016) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4019) all_4_77 = n10
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (86), (4017) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4020) all_4_74 = n10
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (3929), (4018) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4021) sum(n4, n5) = all_4_98
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REDUCE: (129), (4019), (4020) imply:
% 255.54/64.70 | | | | | | | | | | | | | | (4022) sum(n10, n10) = all_4_99
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (55), (4021) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4023) all_4_98 = n9
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.54/64.70 | | | | | | | | | | | | | | simplifying with (126), (4022) gives:
% 255.54/64.70 | | | | | | | | | | | | | | (4024) all_4_99 = n9
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.70 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.54/64.70 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.70 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.70 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.70 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.70 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.70 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.70 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.70 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.70 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.70 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.70 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.70 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.70 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.70 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4022),
% 255.54/64.70 | | | | | | | | | | | | | | (4023), (4024) are inconsistent by sub-proof #200.
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | Case 2:
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | (4025) all_4_101 = n1 | all_4_101 = n0
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | BETA: splitting (4025) gives:
% 255.54/64.70 | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | Case 1:
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | (4026) all_4_101 = n1
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (229), (4026) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4027) pred(n1) = all_4_79
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (198), (4026) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4028) succ(n1) = all_4_75
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (188), (4028) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4029) all_4_75 = n2
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (219), (4027) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4030) all_4_79 = n0
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (128), (4029), (4030) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4031) sum(n0, n2) = all_4_73
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (3927), (4030) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4032) sum(n0, n9) = all_4_77
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (3925), (4029) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4033) sum(n7, n2) = all_4_74
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (8), (4031) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4034) all_4_73 = n2
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n9, n0,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (15), (4032) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4035) all_4_77 = n9
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n2, n7,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (85), (4033) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4036) all_4_74 = n9
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (3929), (4034) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4037) sum(n2, n5) = all_4_98
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (129), (4035), (4036) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4038) sum(n9, n9) = all_4_99
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n5, n2,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (33), (4037) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4039) all_4_98 = n7
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (114), (4038) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4040) all_4_99 = n7
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.54/64.70 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.54/64.70 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.70 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.70 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.70 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.70 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.70 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.70 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.70 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.70 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.70 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.70 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.70 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.70 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.70 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4038),
% 255.54/64.70 | | | | | | | | | | | | | | | (4039), (4040) are inconsistent by sub-proof #211.
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | Case 2:
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | (4041) all_4_101 = n0
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (229), (4041) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4042) pred(n0) = all_4_79
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (198), (4041) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4043) succ(n0) = all_4_75
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (187), (4043) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4044) all_4_75 = n1
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (218), (4042) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4045) all_4_79 = n10
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (128), (4044), (4045) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4046) sum(n10, n1) = all_4_73
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (3927), (4045) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4047) sum(n10, n9) = all_4_77
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (3925), (4044) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4048) sum(n7, n1) = all_4_74
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n1, n7,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (84), (4048) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4049) all_4_74 = n8
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (117), (4046) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4050) all_4_73 = n0
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n9, n10,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (125), (4047) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4051) all_4_77 = n8
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (3929), (4050) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4052) sum(n0, n5) = all_4_98
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | REDUCE: (129), (4049), (4051) imply:
% 255.54/64.70 | | | | | | | | | | | | | | | (4053) sum(n8, n8) = all_4_99
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n5, n0,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (11), (4052) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4054) all_4_98 = n5
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.54/64.70 | | | | | | | | | | | | | | | simplifying with (102), (4053) gives:
% 255.54/64.70 | | | | | | | | | | | | | | | (4055) all_4_99 = n5
% 255.54/64.70 | | | | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.71 | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.54/64.71 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.71 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.71 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.71 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.71 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.71 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.71 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.71 | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.71 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.71 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.71 | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.71 | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.71 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.71 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4053),
% 255.54/64.71 | | | | | | | | | | | | | | | (4054), (4055) are inconsistent by sub-proof #210.
% 255.54/64.71 | | | | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | | | End of split
% 255.54/64.71 | | | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | | End of split
% 255.54/64.71 | | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | End of split
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | End of split
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | End of split
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | End of split
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | End of split
% 255.54/64.71 | | | | | | | |
% 255.54/64.71 | | | | | | | Case 2:
% 255.54/64.71 | | | | | | | |
% 255.54/64.71 | | | | | | | | (4056) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 255.54/64.71 | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.54/64.71 | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.54/64.71 | | | | | | | |
% 255.54/64.71 | | | | | | | | BETA: splitting (3919) gives:
% 255.54/64.71 | | | | | | | |
% 255.54/64.71 | | | | | | | | Case 1:
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | (4057) all_4_101 = n7
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | REDUCE: (229), (4057) imply:
% 255.54/64.71 | | | | | | | | | (4058) pred(n7) = all_4_79
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | REDUCE: (198), (4057) imply:
% 255.54/64.71 | | | | | | | | | (4059) succ(n7) = all_4_75
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 255.54/64.71 | | | | | | | | | simplifying with (194), (4059) gives:
% 255.54/64.71 | | | | | | | | | (4060) all_4_75 = n8
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 255.54/64.71 | | | | | | | | | simplifying with (225), (4058) gives:
% 255.54/64.71 | | | | | | | | | (4061) all_4_79 = n6
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | REDUCE: (131), (4060) imply:
% 255.54/64.71 | | | | | | | | | (4062) sum(all_4_76, n8) = all_4_74
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | REDUCE: (128), (4060), (4061) imply:
% 255.54/64.71 | | | | | | | | | (4063) sum(n6, n8) = all_4_73
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | REDUCE: (127), (4061) imply:
% 255.54/64.71 | | | | | | | | | (4064) sum(n6, all_4_78) = all_4_77
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 255.54/64.71 | | | | | | | | | simplifying with (80), (4063) gives:
% 255.54/64.71 | | | | | | | | | (4065) all_4_73 = n3
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | REDUCE: (132), (4065) imply:
% 255.54/64.71 | | | | | | | | | (4066) sum(n3, all_4_72) = all_4_98
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | BETA: splitting (4056) gives:
% 255.54/64.71 | | | | | | | | |
% 255.54/64.71 | | | | | | | | | Case 1:
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | (4067) all_4_100 = n7
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (230), (4067) imply:
% 255.54/64.71 | | | | | | | | | | (4068) pred(n7) = all_4_76
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (199), (4067) imply:
% 255.54/64.71 | | | | | | | | | | (4069) succ(n7) = all_4_78
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 255.54/64.71 | | | | | | | | | | simplifying with (194), (4069) gives:
% 255.54/64.71 | | | | | | | | | | (4070) all_4_78 = n8
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 255.54/64.71 | | | | | | | | | | simplifying with (225), (4068) gives:
% 255.54/64.71 | | | | | | | | | | (4071) all_4_76 = n6
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (130), (4070), (4071) imply:
% 255.54/64.71 | | | | | | | | | | (4072) sum(n6, n8) = all_4_72
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (4062), (4071) imply:
% 255.54/64.71 | | | | | | | | | | (4073) sum(n6, n8) = all_4_74
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (4064), (4070) imply:
% 255.54/64.71 | | | | | | | | | | (4074) sum(n6, n8) = all_4_77
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n8, n6,
% 255.54/64.71 | | | | | | | | | | simplifying with (80), (4073) gives:
% 255.54/64.71 | | | | | | | | | | (4075) all_4_74 = n3
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n8, n6,
% 255.54/64.71 | | | | | | | | | | simplifying with (4072), (4073) gives:
% 255.54/64.71 | | | | | | | | | | (4076) all_4_72 = all_4_74
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n8, n6,
% 255.54/64.71 | | | | | | | | | | simplifying with (4072), (4074) gives:
% 255.54/64.71 | | | | | | | | | | (4077) all_4_72 = all_4_77
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | COMBINE_EQS: (4076), (4077) imply:
% 255.54/64.71 | | | | | | | | | | (4078) all_4_74 = all_4_77
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | SIMP: (4078) implies:
% 255.54/64.71 | | | | | | | | | | (4079) all_4_74 = all_4_77
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | COMBINE_EQS: (4075), (4079) imply:
% 255.54/64.71 | | | | | | | | | | (4080) all_4_77 = n3
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | COMBINE_EQS: (4077), (4080) imply:
% 255.54/64.71 | | | | | | | | | | (4081) all_4_72 = n3
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (129), (4075), (4080) imply:
% 255.54/64.71 | | | | | | | | | | (4082) sum(n3, n3) = all_4_99
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REDUCE: (4066), (4081) imply:
% 255.54/64.71 | | | | | | | | | | (4083) sum(n3, n3) = all_4_98
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n3, n3,
% 255.54/64.71 | | | | | | | | | | simplifying with (42), (4083) gives:
% 255.54/64.71 | | | | | | | | | | (4084) all_4_98 = n6
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n3, n3,
% 255.54/64.71 | | | | | | | | | | simplifying with (4082), (4083) gives:
% 255.54/64.71 | | | | | | | | | | (4085) all_4_98 = all_4_99
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | COMBINE_EQS: (4084), (4085) imply:
% 255.54/64.71 | | | | | | | | | | (4086) all_4_99 = n6
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | SIMP: (4086) implies:
% 255.54/64.71 | | | | | | | | | | (4087) all_4_99 = n6
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 255.54/64.71 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.54/64.71 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.71 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.71 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.71 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.71 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.71 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.71 | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.71 | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.71 | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.71 | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.71 | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.71 | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.71 | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.71 | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4082),
% 255.54/64.71 | | | | | | | | | | (4084), (4087) are inconsistent by sub-proof #205.
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | Case 2:
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | (4088) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 255.54/64.71 | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.54/64.71 | | | | | | | | | | all_4_100 = n0
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | BETA: splitting (4088) gives:
% 255.54/64.71 | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | Case 1:
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | (4089) all_4_100 = n6
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (230), (4089) imply:
% 255.54/64.71 | | | | | | | | | | | (4090) pred(n6) = all_4_76
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (199), (4089) imply:
% 255.54/64.71 | | | | | | | | | | | (4091) succ(n6) = all_4_78
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 255.54/64.71 | | | | | | | | | | | simplifying with (193), (4091) gives:
% 255.54/64.71 | | | | | | | | | | | (4092) all_4_78 = n7
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 255.54/64.71 | | | | | | | | | | | simplifying with (224), (4090) gives:
% 255.54/64.71 | | | | | | | | | | | (4093) all_4_76 = n5
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (130), (4092), (4093) imply:
% 255.54/64.71 | | | | | | | | | | | (4094) sum(n5, n7) = all_4_72
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (4062), (4093) imply:
% 255.54/64.71 | | | | | | | | | | | (4095) sum(n5, n8) = all_4_74
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (4064), (4092) imply:
% 255.54/64.71 | | | | | | | | | | | (4096) sum(n6, n7) = all_4_77
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 255.54/64.71 | | | | | | | | | | | simplifying with (68), (4094) gives:
% 255.54/64.71 | | | | | | | | | | | (4097) all_4_72 = n1
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n8, n5,
% 255.54/64.71 | | | | | | | | | | | simplifying with (69), (4095) gives:
% 255.54/64.71 | | | | | | | | | | | (4098) all_4_74 = n2
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n7, n6,
% 255.54/64.71 | | | | | | | | | | | simplifying with (79), (4096) gives:
% 255.54/64.71 | | | | | | | | | | | (4099) all_4_77 = n2
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (129), (4098), (4099) imply:
% 255.54/64.71 | | | | | | | | | | | (4100) sum(n2, n2) = all_4_99
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REDUCE: (4066), (4097) imply:
% 255.54/64.71 | | | | | | | | | | | (4101) sum(n3, n1) = all_4_98
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.54/64.71 | | | | | | | | | | | simplifying with (30), (4100) gives:
% 255.54/64.71 | | | | | | | | | | | (4102) all_4_99 = n4
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n1, n3,
% 255.54/64.71 | | | | | | | | | | | simplifying with (40), (4101) gives:
% 255.54/64.71 | | | | | | | | | | | (4103) all_4_98 = n4
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.54/64.71 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.54/64.71 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.71 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.71 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.71 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.71 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.71 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.71 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.71 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.71 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.71 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.71 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.71 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.71 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.71 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4100),
% 255.54/64.71 | | | | | | | | | | | (4102), (4103) are inconsistent by sub-proof #204.
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | Case 2:
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | (4104) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.54/64.71 | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | BETA: splitting (4104) gives:
% 255.54/64.71 | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | Case 1:
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | (4105) all_4_100 = n5
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (230), (4105) imply:
% 255.54/64.71 | | | | | | | | | | | | (4106) pred(n5) = all_4_76
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (199), (4105) imply:
% 255.54/64.71 | | | | | | | | | | | | (4107) succ(n5) = all_4_78
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (192), (4107) gives:
% 255.54/64.71 | | | | | | | | | | | | (4108) all_4_78 = n6
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (223), (4106) gives:
% 255.54/64.71 | | | | | | | | | | | | (4109) all_4_76 = n4
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (130), (4108), (4109) imply:
% 255.54/64.71 | | | | | | | | | | | | (4110) sum(n4, n6) = all_4_72
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (4062), (4109) imply:
% 255.54/64.71 | | | | | | | | | | | | (4111) sum(n4, n8) = all_4_74
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (4064), (4108) imply:
% 255.54/64.71 | | | | | | | | | | | | (4112) sum(n6, n6) = all_4_77
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (56), (4110) gives:
% 255.54/64.71 | | | | | | | | | | | | (4113) all_4_72 = n10
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (58), (4111) gives:
% 255.54/64.71 | | | | | | | | | | | | (4114) all_4_74 = n1
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (78), (4112) gives:
% 255.54/64.71 | | | | | | | | | | | | (4115) all_4_77 = n1
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (129), (4114), (4115) imply:
% 255.54/64.71 | | | | | | | | | | | | (4116) sum(n1, n1) = all_4_99
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REDUCE: (4066), (4113) imply:
% 255.54/64.71 | | | | | | | | | | | | (4117) sum(n3, n10) = all_4_98
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (18), (4116) gives:
% 255.54/64.71 | | | | | | | | | | | | (4118) all_4_99 = n2
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 255.54/64.71 | | | | | | | | | | | | simplifying with (49), (4117) gives:
% 255.54/64.71 | | | | | | | | | | | | (4119) all_4_98 = n2
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.54/64.71 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.54/64.71 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.71 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.71 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.71 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.71 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.71 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.71 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.71 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.71 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.71 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.71 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.71 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.71 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.71 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4116),
% 255.54/64.71 | | | | | | | | | | | | (4118), (4119) are inconsistent by sub-proof #203.
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | Case 2:
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | (4120) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.54/64.71 | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | BETA: splitting (4120) gives:
% 255.54/64.71 | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | Case 1:
% 255.54/64.71 | | | | | | | | | | | | |
% 255.54/64.71 | | | | | | | | | | | | | (4121) all_4_100 = n4
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (230), (4121) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4122) pred(n4) = all_4_76
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (199), (4121) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4123) succ(n4) = all_4_78
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (191), (4123) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4124) all_4_78 = n5
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (222), (4122) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4125) all_4_76 = n3
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (130), (4124), (4125) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4126) sum(n3, n5) = all_4_72
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (4062), (4125) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4127) sum(n3, n8) = all_4_74
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (4064), (4124) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4128) sum(n6, n5) = all_4_77
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (44), (4126) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4129) all_4_72 = n8
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (47), (4127) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4130) all_4_74 = n0
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (77), (4128) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4131) all_4_77 = n0
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (129), (4130), (4131) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4132) sum(n0, n0) = all_4_99
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REDUCE: (4066), (4129) imply:
% 255.54/64.72 | | | | | | | | | | | | | (4133) sum(n3, n8) = all_4_98
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (6), (4132) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4134) all_4_99 = n0
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 255.54/64.72 | | | | | | | | | | | | | simplifying with (47), (4133) gives:
% 255.54/64.72 | | | | | | | | | | | | | (4135) all_4_98 = n0
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.54/64.72 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.72 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.72 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.72 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.72 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.72 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.72 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.72 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.54/64.72 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.54/64.72 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.54/64.72 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.54/64.72 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.54/64.72 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (4132),
% 255.54/64.72 | | | | | | | | | | | | | (4134), (4135) are inconsistent by sub-proof #201.
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | Case 2:
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | (4136) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.54/64.72 | | | | | | | | | | | | | all_4_100 = n0
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | BETA: splitting (4136) gives:
% 255.54/64.72 | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | Case 1:
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | (4137) all_4_100 = n3
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (230), (4137) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4138) pred(n3) = all_4_76
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (199), (4137) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4139) succ(n3) = all_4_78
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (190), (4139) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4140) all_4_78 = n4
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (221), (4138) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4141) all_4_76 = n2
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (130), (4140), (4141) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4142) sum(n2, n4) = all_4_72
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (4062), (4141) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4143) sum(n2, n8) = all_4_74
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (4064), (4140) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4144) sum(n6, n4) = all_4_77
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (32), (4142) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4145) all_4_72 = n6
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (36), (4143) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4146) all_4_74 = n10
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (76), (4144) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4147) all_4_77 = n10
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (129), (4146), (4147) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4148) sum(n10, n10) = all_4_99
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REDUCE: (4066), (4145) imply:
% 255.54/64.72 | | | | | | | | | | | | | | (4149) sum(n3, n6) = all_4_98
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (45), (4149) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4150) all_4_98 = n9
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.54/64.72 | | | | | | | | | | | | | | simplifying with (126), (4148) gives:
% 255.54/64.72 | | | | | | | | | | | | | | (4151) all_4_99 = n9
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.72 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.54/64.72 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.72 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.72 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.72 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.72 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.72 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.72 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.72 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.72 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.72 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.72 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.72 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.72 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.72 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4148),
% 255.54/64.72 | | | | | | | | | | | | | | (4150), (4151) are inconsistent by sub-proof #200.
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | Case 2:
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | (4152) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | BETA: splitting (4152) gives:
% 255.54/64.72 | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | Case 1:
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | (4153) all_4_100 = n2
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (230), (4153) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4154) pred(n2) = all_4_76
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (199), (4153) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4155) succ(n2) = all_4_78
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (189), (4155) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4156) all_4_78 = n3
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (220), (4154) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4157) all_4_76 = n1
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (130), (4156), (4157) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4158) sum(n1, n3) = all_4_72
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (4062), (4157) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4159) sum(n1, n8) = all_4_74
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (4064), (4156) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4160) sum(n6, n3) = all_4_77
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (20), (4158) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4161) all_4_72 = n4
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n8, n1,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (25), (4159) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4162) all_4_74 = n9
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n3, n6,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (75), (4160) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4163) all_4_77 = n9
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (129), (4162), (4163) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4164) sum(n9, n9) = all_4_99
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REDUCE: (4066), (4161) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | (4165) sum(n3, n4) = all_4_98
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n4, n3,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (43), (4165) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4166) all_4_98 = n7
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.54/64.72 | | | | | | | | | | | | | | | simplifying with (114), (4164) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | (4167) all_4_99 = n7
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.54/64.72 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.54/64.72 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.72 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.72 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.72 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.72 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.72 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.72 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.72 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.72 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.72 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.72 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.72 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.72 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.72 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4164),
% 255.54/64.72 | | | | | | | | | | | | | | | (4166), (4167) are inconsistent by sub-proof #211.
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | Case 2:
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | (4168) all_4_100 = n1 | all_4_100 = n0
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | BETA: splitting (4168) gives:
% 255.54/64.72 | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | Case 1:
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | (4169) all_4_100 = n1
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (230), (4169) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4170) pred(n1) = all_4_76
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (199), (4169) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4171) succ(n1) = all_4_78
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (188), (4171) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4172) all_4_78 = n2
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (219), (4170) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4173) all_4_76 = n0
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (130), (4172), (4173) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4174) sum(n0, n2) = all_4_72
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (4062), (4173) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4175) sum(n0, n8) = all_4_74
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (4064), (4172) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4176) sum(n6, n2) = all_4_77
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (8), (4174) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4177) all_4_72 = n2
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n8, n0,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (14), (4175) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4178) all_4_74 = n8
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n2, n6,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (74), (4176) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4179) all_4_77 = n8
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (129), (4178), (4179) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4180) sum(n8, n8) = all_4_99
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (4066), (4177) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4181) sum(n3, n2) = all_4_98
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n2, n3,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (41), (4181) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4182) all_4_98 = n5
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.54/64.72 | | | | | | | | | | | | | | | | simplifying with (102), (4180) gives:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4183) all_4_99 = n5
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.72 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.54/64.72 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.72 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.72 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.72 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.72 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.72 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.72 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.72 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.72 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.72 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.72 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.72 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.72 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.72 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4180),
% 255.54/64.72 | | | | | | | | | | | | | | | | (4182), (4183) are inconsistent by sub-proof #210.
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | Case 2:
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | (4184) all_4_100 = n0
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (230), (4184) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4185) pred(n0) = all_4_76
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.72 | | | | | | | | | | | | | | | | REDUCE: (199), (4184) imply:
% 255.54/64.72 | | | | | | | | | | | | | | | | (4186) succ(n0) = all_4_78
% 255.54/64.72 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (187), (4186) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4187) all_4_78 = n1
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (218), (4185) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4188) all_4_76 = n10
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | REDUCE: (130), (4187), (4188) imply:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4189) sum(n10, n1) = all_4_72
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | REDUCE: (4062), (4188) imply:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4190) sum(n10, n8) = all_4_74
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | REDUCE: (4064), (4187) imply:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4191) sum(n6, n1) = all_4_77
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n1, n6,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (73), (4191) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4192) all_4_77 = n7
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (117), (4189) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4193) all_4_72 = n0
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n8, n10,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (124), (4190) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4194) all_4_74 = n7
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | REDUCE: (129), (4192), (4194) imply:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4195) sum(n7, n7) = all_4_99
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | REDUCE: (4066), (4193) imply:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4196) sum(n3, n0) = all_4_98
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n0, n3,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (39), (4196) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4197) all_4_98 = n3
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 255.54/64.73 | | | | | | | | | | | | | | | | simplifying with (90), (4195) gives:
% 255.54/64.73 | | | | | | | | | | | | | | | | (4198) all_4_99 = n3
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.73 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.54/64.73 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.73 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.73 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.73 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.73 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.73 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.73 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.73 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.73 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.73 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.73 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.73 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.73 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.73 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4195),
% 255.54/64.73 | | | | | | | | | | | | | | | | (4197), (4198) are inconsistent by sub-proof #209.
% 255.54/64.73 | | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | End of split
% 255.54/64.73 | | | | | | | | |
% 255.54/64.73 | | | | | | | | Case 2:
% 255.54/64.73 | | | | | | | | |
% 255.54/64.73 | | | | | | | | | (4199) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 255.54/64.73 | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.54/64.73 | | | | | | | | | all_4_101 = n0
% 255.54/64.73 | | | | | | | | |
% 255.54/64.73 | | | | | | | | | BETA: splitting (4056) gives:
% 255.54/64.73 | | | | | | | | |
% 255.54/64.73 | | | | | | | | | Case 1:
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | (4200) all_4_100 = n7
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | REDUCE: (230), (4200) imply:
% 255.54/64.73 | | | | | | | | | | (4201) pred(n7) = all_4_76
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | REDUCE: (199), (4200) imply:
% 255.54/64.73 | | | | | | | | | | (4202) succ(n7) = all_4_78
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 255.54/64.73 | | | | | | | | | | simplifying with (194), (4202) gives:
% 255.54/64.73 | | | | | | | | | | (4203) all_4_78 = n8
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 255.54/64.73 | | | | | | | | | | simplifying with (225), (4201) gives:
% 255.54/64.73 | | | | | | | | | | (4204) all_4_76 = n6
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | REDUCE: (131), (4204) imply:
% 255.54/64.73 | | | | | | | | | | (4205) sum(n6, all_4_75) = all_4_74
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | REDUCE: (130), (4203), (4204) imply:
% 255.54/64.73 | | | | | | | | | | (4206) sum(n6, n8) = all_4_72
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | REDUCE: (127), (4203) imply:
% 255.54/64.73 | | | | | | | | | | (4207) sum(all_4_79, n8) = all_4_77
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 255.54/64.73 | | | | | | | | | | simplifying with (80), (4206) gives:
% 255.54/64.73 | | | | | | | | | | (4208) all_4_72 = n3
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | REDUCE: (132), (4208) imply:
% 255.54/64.73 | | | | | | | | | | (4209) sum(all_4_73, n3) = all_4_98
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | BETA: splitting (4199) gives:
% 255.54/64.73 | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | Case 1:
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | (4210) all_4_101 = n6
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (229), (4210) imply:
% 255.54/64.73 | | | | | | | | | | | (4211) pred(n6) = all_4_79
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (198), (4210) imply:
% 255.54/64.73 | | | | | | | | | | | (4212) succ(n6) = all_4_75
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 255.54/64.73 | | | | | | | | | | | simplifying with (193), (4212) gives:
% 255.54/64.73 | | | | | | | | | | | (4213) all_4_75 = n7
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 255.54/64.73 | | | | | | | | | | | simplifying with (224), (4211) gives:
% 255.54/64.73 | | | | | | | | | | | (4214) all_4_79 = n5
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (128), (4213), (4214) imply:
% 255.54/64.73 | | | | | | | | | | | (4215) sum(n5, n7) = all_4_73
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (4207), (4214) imply:
% 255.54/64.73 | | | | | | | | | | | (4216) sum(n5, n8) = all_4_77
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (4205), (4213) imply:
% 255.54/64.73 | | | | | | | | | | | (4217) sum(n6, n7) = all_4_74
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 255.54/64.73 | | | | | | | | | | | simplifying with (68), (4215) gives:
% 255.54/64.73 | | | | | | | | | | | (4218) all_4_73 = n1
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n8, n5,
% 255.54/64.73 | | | | | | | | | | | simplifying with (69), (4216) gives:
% 255.54/64.73 | | | | | | | | | | | (4219) all_4_77 = n2
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n7, n6,
% 255.54/64.73 | | | | | | | | | | | simplifying with (79), (4217) gives:
% 255.54/64.73 | | | | | | | | | | | (4220) all_4_74 = n2
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (4209), (4218) imply:
% 255.54/64.73 | | | | | | | | | | | (4221) sum(n1, n3) = all_4_98
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REDUCE: (129), (4219), (4220) imply:
% 255.54/64.73 | | | | | | | | | | | (4222) sum(n2, n2) = all_4_99
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n3, n1,
% 255.54/64.73 | | | | | | | | | | | simplifying with (20), (4221) gives:
% 255.54/64.73 | | | | | | | | | | | (4223) all_4_98 = n4
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 255.54/64.73 | | | | | | | | | | | simplifying with (30), (4222) gives:
% 255.54/64.73 | | | | | | | | | | | (4224) all_4_99 = n4
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 255.54/64.73 | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.54/64.73 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.73 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.73 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.73 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.73 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.73 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.73 | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.73 | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.73 | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.73 | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.73 | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.73 | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.73 | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.73 | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4222),
% 255.54/64.73 | | | | | | | | | | | (4223), (4224) are inconsistent by sub-proof #204.
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | Case 2:
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | (4225) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 255.54/64.73 | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | BETA: splitting (4225) gives:
% 255.54/64.73 | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | Case 1:
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | (4226) all_4_101 = n5
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (229), (4226) imply:
% 255.54/64.73 | | | | | | | | | | | | (4227) pred(n5) = all_4_79
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (198), (4226) imply:
% 255.54/64.73 | | | | | | | | | | | | (4228) succ(n5) = all_4_75
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (192), (4228) gives:
% 255.54/64.73 | | | | | | | | | | | | (4229) all_4_75 = n6
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (223), (4227) gives:
% 255.54/64.73 | | | | | | | | | | | | (4230) all_4_79 = n4
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (128), (4229), (4230) imply:
% 255.54/64.73 | | | | | | | | | | | | (4231) sum(n4, n6) = all_4_73
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (4207), (4230) imply:
% 255.54/64.73 | | | | | | | | | | | | (4232) sum(n4, n8) = all_4_77
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (4205), (4229) imply:
% 255.54/64.73 | | | | | | | | | | | | (4233) sum(n6, n6) = all_4_74
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (56), (4231) gives:
% 255.54/64.73 | | | | | | | | | | | | (4234) all_4_73 = n10
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n8, n4,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (58), (4232) gives:
% 255.54/64.73 | | | | | | | | | | | | (4235) all_4_77 = n1
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n6, n6,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (78), (4233) gives:
% 255.54/64.73 | | | | | | | | | | | | (4236) all_4_74 = n1
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (4209), (4234) imply:
% 255.54/64.73 | | | | | | | | | | | | (4237) sum(n10, n3) = all_4_98
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REDUCE: (129), (4235), (4236) imply:
% 255.54/64.73 | | | | | | | | | | | | (4238) sum(n1, n1) = all_4_99
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (18), (4238) gives:
% 255.54/64.73 | | | | | | | | | | | | (4239) all_4_99 = n2
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n3, n10,
% 255.54/64.73 | | | | | | | | | | | | simplifying with (119), (4237) gives:
% 255.54/64.73 | | | | | | | | | | | | (4240) all_4_98 = n2
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.54/64.73 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.54/64.73 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.73 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.73 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.73 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.73 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.73 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.73 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.73 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.73 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.73 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.73 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.73 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.73 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.73 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4238),
% 255.54/64.73 | | | | | | | | | | | | (4239), (4240) are inconsistent by sub-proof #203.
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | Case 2:
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | (4241) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.54/64.73 | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | BETA: splitting (4241) gives:
% 255.54/64.73 | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | Case 1:
% 255.54/64.73 | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | (4242) all_4_101 = n4
% 255.54/64.73 | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | REDUCE: (229), (4242) imply:
% 255.54/64.73 | | | | | | | | | | | | | (4243) pred(n4) = all_4_79
% 255.54/64.73 | | | | | | | | | | | | |
% 255.54/64.73 | | | | | | | | | | | | | REDUCE: (198), (4242) imply:
% 255.54/64.73 | | | | | | | | | | | | | (4244) succ(n4) = all_4_75
% 255.54/64.73 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (191), (4244) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4245) all_4_75 = n5
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (222), (4243) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4246) all_4_79 = n3
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | REDUCE: (128), (4245), (4246) imply:
% 255.54/64.74 | | | | | | | | | | | | | (4247) sum(n3, n5) = all_4_73
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | REDUCE: (4207), (4246) imply:
% 255.54/64.74 | | | | | | | | | | | | | (4248) sum(n3, n8) = all_4_77
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | REDUCE: (4205), (4245) imply:
% 255.54/64.74 | | | | | | | | | | | | | (4249) sum(n6, n5) = all_4_74
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (44), (4247) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4250) all_4_73 = n8
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (47), (4248) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4251) all_4_77 = n0
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (77), (4249) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4252) all_4_74 = n0
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | REDUCE: (4209), (4250) imply:
% 255.54/64.74 | | | | | | | | | | | | | (4253) sum(n8, n3) = all_4_98
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | REDUCE: (129), (4251), (4252) imply:
% 255.54/64.74 | | | | | | | | | | | | | (4254) sum(n0, n0) = all_4_99
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (6), (4254) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4255) all_4_99 = n0
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 255.54/64.74 | | | | | | | | | | | | | simplifying with (97), (4253) gives:
% 255.54/64.74 | | | | | | | | | | | | | (4256) all_4_98 = n0
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.54/64.74 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.74 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.74 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.74 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.74 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.74 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.74 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.74 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.54/64.74 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.54/64.74 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.54/64.74 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.54/64.74 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.54/64.74 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (4254),
% 255.54/64.74 | | | | | | | | | | | | | (4255), (4256) are inconsistent by sub-proof #201.
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | Case 2:
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | (4257) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.54/64.74 | | | | | | | | | | | | | all_4_101 = n0
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | BETA: splitting (4257) gives:
% 255.54/64.74 | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | Case 1:
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | (4258) all_4_101 = n3
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (229), (4258) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4259) pred(n3) = all_4_79
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (198), (4258) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4260) succ(n3) = all_4_75
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (190), (4260) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4261) all_4_75 = n4
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (221), (4259) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4262) all_4_79 = n2
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (128), (4261), (4262) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4263) sum(n2, n4) = all_4_73
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (4207), (4262) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4264) sum(n2, n8) = all_4_77
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (4205), (4261) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4265) sum(n6, n4) = all_4_74
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (32), (4263) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4266) all_4_73 = n6
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (36), (4264) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4267) all_4_77 = n10
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (76), (4265) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4268) all_4_74 = n10
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (4209), (4266) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4269) sum(n6, n3) = all_4_98
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REDUCE: (129), (4267), (4268) imply:
% 255.54/64.74 | | | | | | | | | | | | | | (4270) sum(n10, n10) = all_4_99
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (75), (4269) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4271) all_4_98 = n9
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.54/64.74 | | | | | | | | | | | | | | simplifying with (126), (4270) gives:
% 255.54/64.74 | | | | | | | | | | | | | | (4272) all_4_99 = n9
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.74 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.54/64.74 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.74 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.74 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.74 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.74 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.74 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.74 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.74 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.74 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.74 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.74 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.74 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.74 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.74 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4270),
% 255.54/64.74 | | | | | | | | | | | | | | (4271), (4272) are inconsistent by sub-proof #200.
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | Case 2:
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | (4273) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | BETA: splitting (4273) gives:
% 255.54/64.74 | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | Case 1:
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | (4274) all_4_101 = n2
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (229), (4274) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4275) pred(n2) = all_4_79
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (198), (4274) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4276) succ(n2) = all_4_75
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (189), (4276) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4277) all_4_75 = n3
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (220), (4275) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4278) all_4_79 = n1
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (128), (4277), (4278) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4279) sum(n1, n3) = all_4_73
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (4207), (4278) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4280) sum(n1, n8) = all_4_77
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (4205), (4277) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4281) sum(n6, n3) = all_4_74
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (20), (4279) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4282) all_4_73 = n4
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n8, n1,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (25), (4280) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4283) all_4_77 = n9
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n3, n6,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (75), (4281) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4284) all_4_74 = n9
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (4209), (4282) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4285) sum(n4, n3) = all_4_98
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REDUCE: (129), (4283), (4284) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | (4286) sum(n9, n9) = all_4_99
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n3, n4,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (53), (4285) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4287) all_4_98 = n7
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.54/64.74 | | | | | | | | | | | | | | | simplifying with (114), (4286) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | (4288) all_4_99 = n7
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.54/64.74 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.54/64.74 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.74 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.74 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.74 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.74 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.74 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.74 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.74 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.54/64.74 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.74 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.74 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.54/64.74 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.54/64.74 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.74 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4286),
% 255.54/64.74 | | | | | | | | | | | | | | | (4287), (4288) are inconsistent by sub-proof #211.
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | Case 2:
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | (4289) all_4_101 = n1 | all_4_101 = n0
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | BETA: splitting (4289) gives:
% 255.54/64.74 | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | Case 1:
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | (4290) all_4_101 = n1
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (229), (4290) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4291) pred(n1) = all_4_79
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (198), (4290) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4292) succ(n1) = all_4_75
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (188), (4292) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4293) all_4_75 = n2
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (219), (4291) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4294) all_4_79 = n0
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (128), (4293), (4294) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4295) sum(n0, n2) = all_4_73
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (4207), (4294) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4296) sum(n0, n8) = all_4_77
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (4205), (4293) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4297) sum(n6, n2) = all_4_74
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (8), (4295) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4298) all_4_73 = n2
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n8, n0,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (14), (4296) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4299) all_4_77 = n8
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n2, n6,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (74), (4297) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4300) all_4_74 = n8
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (4209), (4298) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4301) sum(n2, n3) = all_4_98
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (129), (4299), (4300) imply:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4302) sum(n8, n8) = all_4_99
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n3, n2,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (31), (4301) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4303) all_4_98 = n5
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.54/64.74 | | | | | | | | | | | | | | | | simplifying with (102), (4302) gives:
% 255.54/64.74 | | | | | | | | | | | | | | | | (4304) all_4_99 = n5
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.74 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.54/64.74 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.74 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.74 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.74 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.74 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.74 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.74 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.74 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.74 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.74 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.74 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.74 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.74 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.74 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4302),
% 255.54/64.74 | | | | | | | | | | | | | | | | (4303), (4304) are inconsistent by sub-proof #210.
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | Case 2:
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | (4305) all_4_101 = n0
% 255.54/64.74 | | | | | | | | | | | | | | | |
% 255.54/64.74 | | | | | | | | | | | | | | | | REDUCE: (229), (4305) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4306) pred(n0) = all_4_79
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REDUCE: (198), (4305) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4307) succ(n0) = all_4_75
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (187), (4307) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4308) all_4_75 = n1
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (218), (4306) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4309) all_4_79 = n10
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REDUCE: (128), (4308), (4309) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4310) sum(n10, n1) = all_4_73
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REDUCE: (4207), (4309) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4311) sum(n10, n8) = all_4_77
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REDUCE: (4205), (4308) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4312) sum(n6, n1) = all_4_74
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n1, n6,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (73), (4312) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4313) all_4_74 = n7
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (117), (4310) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4314) all_4_73 = n0
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n8, n10,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (124), (4311) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4315) all_4_77 = n7
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REDUCE: (4209), (4314) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4316) sum(n0, n3) = all_4_98
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REDUCE: (129), (4313), (4315) imply:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4317) sum(n7, n7) = all_4_99
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n3, n0,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (9), (4316) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4318) all_4_98 = n3
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 255.54/64.75 | | | | | | | | | | | | | | | | simplifying with (90), (4317) gives:
% 255.54/64.75 | | | | | | | | | | | | | | | | (4319) all_4_99 = n3
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.54/64.75 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.54/64.75 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.54/64.75 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.54/64.75 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.54/64.75 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.54/64.75 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.54/64.75 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.54/64.75 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.54/64.75 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.54/64.75 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.54/64.75 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.54/64.75 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.54/64.75 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.54/64.75 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.54/64.75 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4317),
% 255.54/64.75 | | | | | | | | | | | | | | | | (4318), (4319) are inconsistent by sub-proof #209.
% 255.54/64.75 | | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | | End of split
% 255.54/64.75 | | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | | End of split
% 255.54/64.75 | | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | | End of split
% 255.54/64.75 | | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | | End of split
% 255.54/64.75 | | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | | End of split
% 255.54/64.75 | | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | End of split
% 255.54/64.75 | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | Case 2:
% 255.54/64.75 | | | | | | | | | |
% 255.54/64.75 | | | | | | | | | | (4320) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 255.54/64.75 | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.54/64.75 | | | | | | | | | | all_4_100 = n0
% 255.87/64.75 | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | BETA: splitting (4199) gives:
% 255.87/64.75 | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | Case 1:
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | (4321) all_4_101 = n6
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | REDUCE: (229), (4321) imply:
% 255.87/64.75 | | | | | | | | | | | (4322) pred(n6) = all_4_79
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | REDUCE: (198), (4321) imply:
% 255.87/64.75 | | | | | | | | | | | (4323) succ(n6) = all_4_75
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 255.87/64.75 | | | | | | | | | | | simplifying with (193), (4323) gives:
% 255.87/64.75 | | | | | | | | | | | (4324) all_4_75 = n7
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 255.87/64.75 | | | | | | | | | | | simplifying with (224), (4322) gives:
% 255.87/64.75 | | | | | | | | | | | (4325) all_4_79 = n5
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | REDUCE: (131), (4324) imply:
% 255.87/64.75 | | | | | | | | | | | (4326) sum(all_4_76, n7) = all_4_74
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | REDUCE: (128), (4324), (4325) imply:
% 255.87/64.75 | | | | | | | | | | | (4327) sum(n5, n7) = all_4_73
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | REDUCE: (127), (4325) imply:
% 255.87/64.75 | | | | | | | | | | | (4328) sum(n5, all_4_78) = all_4_77
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 255.87/64.75 | | | | | | | | | | | simplifying with (68), (4327) gives:
% 255.87/64.75 | | | | | | | | | | | (4329) all_4_73 = n1
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | REDUCE: (132), (4329) imply:
% 255.87/64.75 | | | | | | | | | | | (4330) sum(n1, all_4_72) = all_4_98
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | BETA: splitting (4320) gives:
% 255.87/64.75 | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | Case 1:
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | (4331) all_4_100 = n6
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (230), (4331) imply:
% 255.87/64.75 | | | | | | | | | | | | (4332) pred(n6) = all_4_76
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (199), (4331) imply:
% 255.87/64.75 | | | | | | | | | | | | (4333) succ(n6) = all_4_78
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (193), (4333) gives:
% 255.87/64.75 | | | | | | | | | | | | (4334) all_4_78 = n7
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (224), (4332) gives:
% 255.87/64.75 | | | | | | | | | | | | (4335) all_4_76 = n5
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (130), (4334), (4335) imply:
% 255.87/64.75 | | | | | | | | | | | | (4336) sum(n5, n7) = all_4_72
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (4326), (4335) imply:
% 255.87/64.75 | | | | | | | | | | | | (4337) sum(n5, n7) = all_4_74
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (4328), (4334) imply:
% 255.87/64.75 | | | | | | | | | | | | (4338) sum(n5, n7) = all_4_77
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n7, n5,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (68), (4337) gives:
% 255.87/64.75 | | | | | | | | | | | | (4339) all_4_74 = n1
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n7, n5,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (4336), (4337) gives:
% 255.87/64.75 | | | | | | | | | | | | (4340) all_4_72 = all_4_74
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n7, n5,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (4336), (4338) gives:
% 255.87/64.75 | | | | | | | | | | | | (4341) all_4_72 = all_4_77
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | COMBINE_EQS: (4340), (4341) imply:
% 255.87/64.75 | | | | | | | | | | | | (4342) all_4_74 = all_4_77
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | SIMP: (4342) implies:
% 255.87/64.75 | | | | | | | | | | | | (4343) all_4_74 = all_4_77
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | COMBINE_EQS: (4339), (4343) imply:
% 255.87/64.75 | | | | | | | | | | | | (4344) all_4_77 = n1
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | COMBINE_EQS: (4341), (4344) imply:
% 255.87/64.75 | | | | | | | | | | | | (4345) all_4_72 = n1
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (129), (4339), (4344) imply:
% 255.87/64.75 | | | | | | | | | | | | (4346) sum(n1, n1) = all_4_99
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REDUCE: (4330), (4345) imply:
% 255.87/64.75 | | | | | | | | | | | | (4347) sum(n1, n1) = all_4_98
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n1, n1,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (18), (4347) gives:
% 255.87/64.75 | | | | | | | | | | | | (4348) all_4_98 = n2
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n1, n1,
% 255.87/64.75 | | | | | | | | | | | | simplifying with (4346), (4347) gives:
% 255.87/64.75 | | | | | | | | | | | | (4349) all_4_98 = all_4_99
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | COMBINE_EQS: (4348), (4349) imply:
% 255.87/64.75 | | | | | | | | | | | | (4350) all_4_99 = n2
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | SIMP: (4350) implies:
% 255.87/64.75 | | | | | | | | | | | | (4351) all_4_99 = n2
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 255.87/64.75 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 255.87/64.75 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.75 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.75 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.75 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.75 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.75 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.75 | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.75 | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.87/64.75 | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.87/64.75 | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.87/64.75 | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.87/64.75 | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.87/64.75 | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.87/64.75 | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4346),
% 255.87/64.75 | | | | | | | | | | | | (4348), (4351) are inconsistent by sub-proof #203.
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | Case 2:
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | (4352) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.87/64.75 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | BETA: splitting (4352) gives:
% 255.87/64.75 | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | Case 1:
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | (4353) all_4_100 = n5
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (230), (4353) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4354) pred(n5) = all_4_76
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (199), (4353) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4355) succ(n5) = all_4_78
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (192), (4355) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4356) all_4_78 = n6
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (223), (4354) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4357) all_4_76 = n4
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (130), (4356), (4357) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4358) sum(n4, n6) = all_4_72
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (4326), (4357) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4359) sum(n4, n7) = all_4_74
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (4328), (4356) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4360) sum(n5, n6) = all_4_77
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (56), (4358) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4361) all_4_72 = n10
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (57), (4359) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4362) all_4_74 = n0
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (67), (4360) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4363) all_4_77 = n0
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (129), (4362), (4363) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4364) sum(n0, n0) = all_4_99
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REDUCE: (4330), (4361) imply:
% 255.87/64.75 | | | | | | | | | | | | | (4365) sum(n1, n10) = all_4_98
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (6), (4364) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4366) all_4_99 = n0
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 255.87/64.75 | | | | | | | | | | | | | simplifying with (27), (4365) gives:
% 255.87/64.75 | | | | | | | | | | | | | (4367) all_4_98 = n0
% 255.87/64.75 | | | | | | | | | | | | |
% 255.87/64.75 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.87/64.75 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.75 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.75 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.75 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.75 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.76 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.76 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.76 | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 255.87/64.76 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 255.87/64.76 | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 255.87/64.76 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 255.87/64.76 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 255.87/64.76 | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (4364),
% 255.87/64.76 | | | | | | | | | | | | | (4366), (4367) are inconsistent by sub-proof #201.
% 255.87/64.76 | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | Case 2:
% 255.87/64.76 | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | (4368) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.87/64.76 | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.87/64.76 | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | BETA: splitting (4368) gives:
% 255.87/64.76 | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | Case 1:
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | (4369) all_4_100 = n4
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (230), (4369) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4370) pred(n4) = all_4_76
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (199), (4369) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4371) succ(n4) = all_4_78
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (191), (4371) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4372) all_4_78 = n5
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (222), (4370) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4373) all_4_76 = n3
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (130), (4372), (4373) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4374) sum(n3, n5) = all_4_72
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (4326), (4373) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4375) sum(n3, n7) = all_4_74
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (4328), (4372) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4376) sum(n5, n5) = all_4_77
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (44), (4374) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4377) all_4_72 = n8
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (46), (4375) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4378) all_4_74 = n10
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (66), (4376) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4379) all_4_77 = n10
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (129), (4378), (4379) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4380) sum(n10, n10) = all_4_99
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REDUCE: (4330), (4377) imply:
% 255.87/64.76 | | | | | | | | | | | | | | (4381) sum(n1, n8) = all_4_98
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (25), (4381) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4382) all_4_98 = n9
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.87/64.76 | | | | | | | | | | | | | | simplifying with (126), (4380) gives:
% 255.87/64.76 | | | | | | | | | | | | | | (4383) all_4_99 = n9
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.87/64.76 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.87/64.76 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.76 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.76 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.76 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.76 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.76 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.76 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.76 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.87/64.76 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.87/64.76 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.87/64.76 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.87/64.76 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.87/64.76 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.87/64.76 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4380),
% 255.87/64.76 | | | | | | | | | | | | | | (4382), (4383) are inconsistent by sub-proof #200.
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | Case 2:
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | (4384) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.87/64.76 | | | | | | | | | | | | | | all_4_100 = n0
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | BETA: splitting (4384) gives:
% 255.87/64.76 | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | Case 1:
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | (4385) all_4_100 = n3
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (230), (4385) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4386) pred(n3) = all_4_76
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (199), (4385) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4387) succ(n3) = all_4_78
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (190), (4387) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4388) all_4_78 = n4
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (221), (4386) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4389) all_4_76 = n2
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (130), (4388), (4389) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4390) sum(n2, n4) = all_4_72
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (4326), (4389) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4391) sum(n2, n7) = all_4_74
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (4328), (4388) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4392) sum(n5, n4) = all_4_77
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (32), (4390) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4393) all_4_72 = n6
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n7, n2,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (35), (4391) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4394) all_4_74 = n9
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n4, n5,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (65), (4392) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4395) all_4_77 = n9
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (129), (4394), (4395) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4396) sum(n9, n9) = all_4_99
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REDUCE: (4330), (4393) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | (4397) sum(n1, n6) = all_4_98
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n6, n1,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (23), (4397) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4398) all_4_98 = n7
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.87/64.76 | | | | | | | | | | | | | | | simplifying with (114), (4396) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | (4399) all_4_99 = n7
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.87/64.76 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.87/64.76 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.76 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.76 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.76 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.76 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.76 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.76 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.76 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.87/64.76 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.87/64.76 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.87/64.76 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.87/64.76 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.87/64.76 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.87/64.76 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4396),
% 255.87/64.76 | | | | | | | | | | | | | | | (4398), (4399) are inconsistent by sub-proof #211.
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | Case 2:
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | (4400) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | BETA: splitting (4400) gives:
% 255.87/64.76 | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | Case 1:
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | (4401) all_4_100 = n2
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (230), (4401) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4402) pred(n2) = all_4_76
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (199), (4401) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4403) succ(n2) = all_4_78
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (189), (4403) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4404) all_4_78 = n3
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (220), (4402) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4405) all_4_76 = n1
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (130), (4404), (4405) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4406) sum(n1, n3) = all_4_72
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (4326), (4405) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4407) sum(n1, n7) = all_4_74
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (4328), (4404) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4408) sum(n5, n3) = all_4_77
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (20), (4406) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4409) all_4_72 = n4
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n7, n1,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (24), (4407) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4410) all_4_74 = n8
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n3, n5,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (64), (4408) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4411) all_4_77 = n8
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (129), (4410), (4411) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4412) sum(n8, n8) = all_4_99
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REDUCE: (4330), (4409) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4413) sum(n1, n4) = all_4_98
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n4, n1,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (21), (4413) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4414) all_4_98 = n5
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.87/64.76 | | | | | | | | | | | | | | | | simplifying with (102), (4412) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | (4415) all_4_99 = n5
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.87/64.76 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.87/64.76 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.76 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.76 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.76 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.76 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.76 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.76 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.76 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.87/64.76 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.87/64.76 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.87/64.76 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.87/64.76 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.87/64.76 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.87/64.76 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4412),
% 255.87/64.76 | | | | | | | | | | | | | | | | (4414), (4415) are inconsistent by sub-proof #210.
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | Case 2:
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | (4416) all_4_100 = n1 | all_4_100 = n0
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | BETA: splitting (4416) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | Case 1:
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4417) all_4_100 = n1
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | REDUCE: (230), (4417) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4418) pred(n1) = all_4_76
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | REDUCE: (199), (4417) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4419) succ(n1) = all_4_78
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.87/64.76 | | | | | | | | | | | | | | | | | simplifying with (188), (4419) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4420) all_4_78 = n2
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.87/64.76 | | | | | | | | | | | | | | | | | simplifying with (219), (4418) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4421) all_4_76 = n0
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | REDUCE: (130), (4420), (4421) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4422) sum(n0, n2) = all_4_72
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | REDUCE: (4326), (4421) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4423) sum(n0, n7) = all_4_74
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | REDUCE: (4328), (4420) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4424) sum(n5, n2) = all_4_77
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.87/64.76 | | | | | | | | | | | | | | | | | simplifying with (8), (4422) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4425) all_4_72 = n2
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n7, n0,
% 255.87/64.76 | | | | | | | | | | | | | | | | | simplifying with (13), (4423) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4426) all_4_74 = n7
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n2, n5,
% 255.87/64.76 | | | | | | | | | | | | | | | | | simplifying with (63), (4424) gives:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4427) all_4_77 = n7
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.76 | | | | | | | | | | | | | | | | | REDUCE: (129), (4426), (4427) imply:
% 255.87/64.76 | | | | | | | | | | | | | | | | | (4428) sum(n7, n7) = all_4_99
% 255.87/64.76 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (4330), (4425) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4429) sum(n1, n2) = all_4_98
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n2, n1,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (19), (4429) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4430) all_4_98 = n3
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (90), (4428) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4431) all_4_99 = n3
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4428),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4430), (4431) are inconsistent by sub-proof #209.
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | Case 2:
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4432) all_4_100 = n0
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (230), (4432) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4433) pred(n0) = all_4_76
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (199), (4432) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4434) succ(n0) = all_4_78
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (187), (4434) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4435) all_4_78 = n1
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (218), (4433) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4436) all_4_76 = n10
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (130), (4435), (4436) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4437) sum(n10, n1) = all_4_72
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (4326), (4436) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4438) sum(n10, n7) = all_4_74
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (4328), (4435) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4439) sum(n5, n1) = all_4_77
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n1, n5,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (62), (4439) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4440) all_4_77 = n6
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (117), (4437) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4441) all_4_72 = n0
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n7, n10,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (123), (4438) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4442) all_4_74 = n6
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (129), (4440), (4442) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4443) sum(n6, n6) = all_4_99
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REDUCE: (4330), (4441) imply:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4444) sum(n1, n0) = all_4_98
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n0, n1,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (17), (4444) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4445) all_4_98 = n1
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 255.87/64.77 | | | | | | | | | | | | | | | | | simplifying with (78), (4443) gives:
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4446) all_4_99 = n1
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4443),
% 255.87/64.77 | | | | | | | | | | | | | | | | | (4445), (4446) are inconsistent by sub-proof #208.
% 255.87/64.77 | | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | | End of split
% 255.87/64.77 | | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | | End of split
% 255.87/64.77 | | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | | End of split
% 255.87/64.77 | | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | | End of split
% 255.87/64.77 | | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | End of split
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | End of split
% 255.87/64.77 | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | Case 2:
% 255.87/64.77 | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | (4447) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 255.87/64.77 | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.87/64.77 | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | BETA: splitting (4320) gives:
% 255.87/64.77 | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | Case 1:
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | (4448) all_4_100 = n6
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | REDUCE: (230), (4448) imply:
% 255.87/64.77 | | | | | | | | | | | | (4449) pred(n6) = all_4_76
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | REDUCE: (199), (4448) imply:
% 255.87/64.77 | | | | | | | | | | | | (4450) succ(n6) = all_4_78
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 255.87/64.77 | | | | | | | | | | | | simplifying with (193), (4450) gives:
% 255.87/64.77 | | | | | | | | | | | | (4451) all_4_78 = n7
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 255.87/64.77 | | | | | | | | | | | | simplifying with (224), (4449) gives:
% 255.87/64.77 | | | | | | | | | | | | (4452) all_4_76 = n5
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | REDUCE: (131), (4452) imply:
% 255.87/64.77 | | | | | | | | | | | | (4453) sum(n5, all_4_75) = all_4_74
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | REDUCE: (130), (4451), (4452) imply:
% 255.87/64.77 | | | | | | | | | | | | (4454) sum(n5, n7) = all_4_72
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | REDUCE: (127), (4451) imply:
% 255.87/64.77 | | | | | | | | | | | | (4455) sum(all_4_79, n7) = all_4_77
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 255.87/64.77 | | | | | | | | | | | | simplifying with (68), (4454) gives:
% 255.87/64.77 | | | | | | | | | | | | (4456) all_4_72 = n1
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | REDUCE: (132), (4456) imply:
% 255.87/64.77 | | | | | | | | | | | | (4457) sum(all_4_73, n1) = all_4_98
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | BETA: splitting (4447) gives:
% 255.87/64.77 | | | | | | | | | | | |
% 255.87/64.77 | | | | | | | | | | | | Case 1:
% 255.87/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | (4458) all_4_101 = n5
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (229), (4458) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4459) pred(n5) = all_4_79
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (198), (4458) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4460) succ(n5) = all_4_75
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (192), (4460) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4461) all_4_75 = n6
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (223), (4459) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4462) all_4_79 = n4
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (128), (4461), (4462) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4463) sum(n4, n6) = all_4_73
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (4455), (4462) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4464) sum(n4, n7) = all_4_77
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (4453), (4461) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4465) sum(n5, n6) = all_4_74
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (56), (4463) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4466) all_4_73 = n10
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n7, n4,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (57), (4464) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4467) all_4_77 = n0
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n6, n5,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (67), (4465) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4468) all_4_74 = n0
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (4457), (4466) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4469) sum(n10, n1) = all_4_98
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (129), (4467), (4468) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4470) sum(n0, n0) = all_4_99
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (6), (4470) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4471) all_4_99 = n0
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n1, n10,
% 255.98/64.77 | | | | | | | | | | | | | simplifying with (117), (4469) gives:
% 255.98/64.77 | | | | | | | | | | | | | (4472) all_4_98 = n0
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (232), (4472) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4473) pred(n0) = all_4_68
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (231), (4471) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4474) pred(n0) = all_4_71
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (201), (4472) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4475) succ(n0) = all_4_70
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REDUCE: (200), (4471) imply:
% 255.98/64.77 | | | | | | | | | | | | | (4476) succ(n0) = all_4_67
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 255.98/64.77 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.77 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.77 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.77 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.77 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.77 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.77 | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.77 | | | | | | | | | | | | | (186), (187), (202), (203), (204), (205), (206),
% 255.98/64.77 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 255.98/64.77 | | | | | | | | | | | | | (214), (215), (216), (217), (218), (233), (234),
% 255.98/64.77 | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (241),
% 255.98/64.77 | | | | | | | | | | | | | (242), (243), (244), (245), (246), (247), (248),
% 255.98/64.77 | | | | | | | | | | | | | (3263), (4470), (4471), (4473), (4474), (4475),
% 255.98/64.77 | | | | | | | | | | | | | (4476) are inconsistent by sub-proof #202.
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | Case 2:
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | (4477) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 255.98/64.77 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | BETA: splitting (4477) gives:
% 255.98/64.77 | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | Case 1:
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | (4478) all_4_101 = n4
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (229), (4478) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4479) pred(n4) = all_4_79
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (198), (4478) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4480) succ(n4) = all_4_75
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (191), (4480) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4481) all_4_75 = n5
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (222), (4479) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4482) all_4_79 = n3
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (128), (4481), (4482) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4483) sum(n3, n5) = all_4_73
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (4455), (4482) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4484) sum(n3, n7) = all_4_77
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (4453), (4481) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4485) sum(n5, n5) = all_4_74
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (44), (4483) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4486) all_4_73 = n8
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (46), (4484) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4487) all_4_77 = n10
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (66), (4485) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4488) all_4_74 = n10
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (4457), (4486) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4489) sum(n8, n1) = all_4_98
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | REDUCE: (129), (4487), (4488) imply:
% 255.98/64.77 | | | | | | | | | | | | | | (4490) sum(n10, n10) = all_4_99
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (95), (4489) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4491) all_4_98 = n9
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 255.98/64.77 | | | | | | | | | | | | | | simplifying with (126), (4490) gives:
% 255.98/64.77 | | | | | | | | | | | | | | (4492) all_4_99 = n9
% 255.98/64.77 | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.98/64.78 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.98/64.78 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.78 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.78 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.78 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.78 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.78 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.78 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.78 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.78 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.78 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.78 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.78 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.78 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.78 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4490),
% 255.98/64.78 | | | | | | | | | | | | | | (4491), (4492) are inconsistent by sub-proof #200.
% 255.98/64.78 | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | Case 2:
% 255.98/64.78 | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | (4493) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 255.98/64.78 | | | | | | | | | | | | | | all_4_101 = n0
% 255.98/64.78 | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | BETA: splitting (4493) gives:
% 255.98/64.78 | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | Case 1:
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | (4494) all_4_101 = n3
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (229), (4494) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4495) pred(n3) = all_4_79
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (198), (4494) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4496) succ(n3) = all_4_75
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (190), (4496) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4497) all_4_75 = n4
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (221), (4495) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4498) all_4_79 = n2
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (128), (4497), (4498) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4499) sum(n2, n4) = all_4_73
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (4455), (4498) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4500) sum(n2, n7) = all_4_77
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (4453), (4497) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4501) sum(n5, n4) = all_4_74
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (32), (4499) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4502) all_4_73 = n6
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n7, n2,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (35), (4500) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4503) all_4_77 = n9
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n4, n5,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (65), (4501) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4504) all_4_74 = n9
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (4457), (4502) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4505) sum(n6, n1) = all_4_98
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REDUCE: (129), (4503), (4504) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | (4506) sum(n9, n9) = all_4_99
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n1, n6,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (73), (4505) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4507) all_4_98 = n7
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.98/64.78 | | | | | | | | | | | | | | | simplifying with (114), (4506) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | (4508) all_4_99 = n7
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.98/64.78 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.98/64.78 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.78 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.78 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.78 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.78 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.78 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.78 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.78 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.98/64.78 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.78 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.78 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.98/64.78 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.98/64.78 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.78 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4506),
% 255.98/64.78 | | | | | | | | | | | | | | | (4507), (4508) are inconsistent by sub-proof #211.
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | Case 2:
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | (4509) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | BETA: splitting (4509) gives:
% 255.98/64.78 | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | Case 1:
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | (4510) all_4_101 = n2
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (229), (4510) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4511) pred(n2) = all_4_79
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (198), (4510) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4512) succ(n2) = all_4_75
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (189), (4512) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4513) all_4_75 = n3
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (220), (4511) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4514) all_4_79 = n1
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (128), (4513), (4514) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4515) sum(n1, n3) = all_4_73
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (4455), (4514) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4516) sum(n1, n7) = all_4_77
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (4453), (4513) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4517) sum(n5, n3) = all_4_74
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (20), (4515) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4518) all_4_73 = n4
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n7, n1,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (24), (4516) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4519) all_4_77 = n8
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n3, n5,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (64), (4517) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4520) all_4_74 = n8
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (4457), (4518) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4521) sum(n4, n1) = all_4_98
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REDUCE: (129), (4519), (4520) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4522) sum(n8, n8) = all_4_99
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n1, n4,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (51), (4521) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4523) all_4_98 = n5
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.98/64.78 | | | | | | | | | | | | | | | | simplifying with (102), (4522) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | (4524) all_4_99 = n5
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.98/64.78 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.98/64.78 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.78 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.78 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.78 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.78 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.78 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.78 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.78 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.78 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.78 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.78 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.78 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.78 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.78 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4522),
% 255.98/64.78 | | | | | | | | | | | | | | | | (4523), (4524) are inconsistent by sub-proof #210.
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | Case 2:
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | (4525) all_4_101 = n1 | all_4_101 = n0
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | BETA: splitting (4525) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | Case 1:
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4526) all_4_101 = n1
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (229), (4526) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4527) pred(n1) = all_4_79
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (198), (4526) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4528) succ(n1) = all_4_75
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (188), (4528) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4529) all_4_75 = n2
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (219), (4527) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4530) all_4_79 = n0
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (128), (4529), (4530) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4531) sum(n0, n2) = all_4_73
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (4455), (4530) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4532) sum(n0, n7) = all_4_77
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (4453), (4529) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4533) sum(n5, n2) = all_4_74
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (8), (4531) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4534) all_4_73 = n2
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n7, n0,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (13), (4532) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4535) all_4_77 = n7
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n2, n5,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (63), (4533) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4536) all_4_74 = n7
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (4457), (4534) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4537) sum(n2, n1) = all_4_98
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REDUCE: (129), (4535), (4536) imply:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4538) sum(n7, n7) = all_4_99
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n1, n2,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (29), (4537) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4539) all_4_98 = n3
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 255.98/64.78 | | | | | | | | | | | | | | | | | simplifying with (90), (4538) gives:
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4540) all_4_99 = n3
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4538),
% 255.98/64.78 | | | | | | | | | | | | | | | | | (4539), (4540) are inconsistent by sub-proof #209.
% 255.98/64.78 | | | | | | | | | | | | | | | | |
% 255.98/64.78 | | | | | | | | | | | | | | | | Case 2:
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4541) all_4_101 = n0
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (229), (4541) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4542) pred(n0) = all_4_79
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (198), (4541) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4543) succ(n0) = all_4_75
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 255.98/64.79 | | | | | | | | | | | | | | | | | simplifying with (187), (4543) gives:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4544) all_4_75 = n1
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 255.98/64.79 | | | | | | | | | | | | | | | | | simplifying with (218), (4542) gives:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4545) all_4_79 = n10
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (128), (4544), (4545) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4546) sum(n10, n1) = all_4_73
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (4455), (4545) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4547) sum(n10, n7) = all_4_77
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (4453), (4544) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4548) sum(n5, n1) = all_4_74
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n1, n5,
% 255.98/64.79 | | | | | | | | | | | | | | | | | simplifying with (62), (4548) gives:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4549) all_4_74 = n6
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 255.98/64.79 | | | | | | | | | | | | | | | | | simplifying with (117), (4546) gives:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4550) all_4_73 = n0
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n7, n10,
% 255.98/64.79 | | | | | | | | | | | | | | | | | simplifying with (123), (4547) gives:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4551) all_4_77 = n6
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (4457), (4550) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4552) sum(n0, n1) = all_4_98
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | REDUCE: (129), (4549), (4551) imply:
% 255.98/64.79 | | | | | | | | | | | | | | | | | (4553) sum(n6, n6) = all_4_99
% 255.98/64.79 | | | | | | | | | | | | | | | | |
% 255.98/64.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n1, n0,
% 255.98/64.79 | | | | | | | | | | | | | | | | | simplifying with (7), (4552) gives:
% 255.98/64.80 | | | | | | | | | | | | | | | | | (4554) all_4_98 = n1
% 255.98/64.80 | | | | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 255.98/64.80 | | | | | | | | | | | | | | | | | simplifying with (78), (4553) gives:
% 255.98/64.80 | | | | | | | | | | | | | | | | | (4555) all_4_99 = n1
% 255.98/64.80 | | | | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4553),
% 255.98/64.80 | | | | | | | | | | | | | | | | | (4554), (4555) are inconsistent by sub-proof #208.
% 255.98/64.80 | | | | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | | | End of split
% 255.98/64.80 | | | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | | End of split
% 255.98/64.80 | | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | End of split
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | End of split
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | End of split
% 255.98/64.80 | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | Case 2:
% 255.98/64.80 | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | (4556) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 255.98/64.80 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.98/64.80 | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | BETA: splitting (4447) gives:
% 255.98/64.80 | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | Case 1:
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | (4557) all_4_101 = n5
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | REDUCE: (229), (4557) imply:
% 255.98/64.80 | | | | | | | | | | | | | (4558) pred(n5) = all_4_79
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | REDUCE: (198), (4557) imply:
% 255.98/64.80 | | | | | | | | | | | | | (4559) succ(n5) = all_4_75
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 255.98/64.80 | | | | | | | | | | | | | simplifying with (192), (4559) gives:
% 255.98/64.80 | | | | | | | | | | | | | (4560) all_4_75 = n6
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 255.98/64.80 | | | | | | | | | | | | | simplifying with (223), (4558) gives:
% 255.98/64.80 | | | | | | | | | | | | | (4561) all_4_79 = n4
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | REDUCE: (131), (4560) imply:
% 255.98/64.80 | | | | | | | | | | | | | (4562) sum(all_4_76, n6) = all_4_74
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | REDUCE: (128), (4560), (4561) imply:
% 255.98/64.80 | | | | | | | | | | | | | (4563) sum(n4, n6) = all_4_73
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | REDUCE: (127), (4561) imply:
% 255.98/64.80 | | | | | | | | | | | | | (4564) sum(n4, all_4_78) = all_4_77
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 255.98/64.80 | | | | | | | | | | | | | simplifying with (56), (4563) gives:
% 255.98/64.80 | | | | | | | | | | | | | (4565) all_4_73 = n10
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | REDUCE: (132), (4565) imply:
% 255.98/64.80 | | | | | | | | | | | | | (4566) sum(n10, all_4_72) = all_4_98
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | BETA: splitting (4556) gives:
% 255.98/64.80 | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | Case 1:
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | (4567) all_4_100 = n5
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | REDUCE: (230), (4567) imply:
% 255.98/64.80 | | | | | | | | | | | | | | (4568) pred(n5) = all_4_76
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | REDUCE: (199), (4567) imply:
% 255.98/64.80 | | | | | | | | | | | | | | (4569) succ(n5) = all_4_78
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 255.98/64.80 | | | | | | | | | | | | | | simplifying with (192), (4569) gives:
% 255.98/64.80 | | | | | | | | | | | | | | (4570) all_4_78 = n6
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 255.98/64.80 | | | | | | | | | | | | | | simplifying with (223), (4568) gives:
% 255.98/64.80 | | | | | | | | | | | | | | (4571) all_4_76 = n4
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | REDUCE: (130), (4570), (4571) imply:
% 255.98/64.80 | | | | | | | | | | | | | | (4572) sum(n4, n6) = all_4_72
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | REDUCE: (4562), (4571) imply:
% 255.98/64.80 | | | | | | | | | | | | | | (4573) sum(n4, n6) = all_4_74
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | REDUCE: (4564), (4570) imply:
% 255.98/64.80 | | | | | | | | | | | | | | (4574) sum(n4, n6) = all_4_77
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 255.98/64.80 | | | | | | | | | | | | | | simplifying with (56), (4573) gives:
% 255.98/64.80 | | | | | | | | | | | | | | (4575) all_4_74 = n10
% 255.98/64.80 | | | | | | | | | | | | | |
% 255.98/64.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 255.98/64.80 | | | | | | | | | | | | | | simplifying with (4572), (4573) gives:
% 255.98/64.81 | | | | | | | | | | | | | | (4576) all_4_72 = all_4_74
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 255.98/64.81 | | | | | | | | | | | | | | simplifying with (4572), (4574) gives:
% 255.98/64.81 | | | | | | | | | | | | | | (4577) all_4_72 = all_4_77
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | COMBINE_EQS: (4576), (4577) imply:
% 255.98/64.81 | | | | | | | | | | | | | | (4578) all_4_74 = all_4_77
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | SIMP: (4578) implies:
% 255.98/64.81 | | | | | | | | | | | | | | (4579) all_4_74 = all_4_77
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4579) imply:
% 255.98/64.81 | | | | | | | | | | | | | | (4580) all_4_77 = n10
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | COMBINE_EQS: (4577), (4580) imply:
% 255.98/64.81 | | | | | | | | | | | | | | (4581) all_4_72 = n10
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | REDUCE: (129), (4575), (4580) imply:
% 255.98/64.81 | | | | | | | | | | | | | | (4582) sum(n10, n10) = all_4_99
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | REDUCE: (4566), (4581) imply:
% 255.98/64.81 | | | | | | | | | | | | | | (4583) sum(n10, n10) = all_4_98
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 255.98/64.81 | | | | | | | | | | | | | | simplifying with (126), (4583) gives:
% 255.98/64.81 | | | | | | | | | | | | | | (4584) all_4_98 = n9
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 255.98/64.81 | | | | | | | | | | | | | | n10, simplifying with (4582), (4583) gives:
% 255.98/64.81 | | | | | | | | | | | | | | (4585) all_4_98 = all_4_99
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | COMBINE_EQS: (4584), (4585) imply:
% 255.98/64.81 | | | | | | | | | | | | | | (4586) all_4_99 = n9
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | SIMP: (4586) implies:
% 255.98/64.81 | | | | | | | | | | | | | | (4587) all_4_99 = n9
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.98/64.81 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 255.98/64.81 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.81 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.81 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.81 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.81 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.81 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.81 | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.81 | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.81 | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.81 | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.81 | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.81 | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.81 | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.81 | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4582),
% 255.98/64.81 | | | | | | | | | | | | | | (4584), (4587) are inconsistent by sub-proof #200.
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | Case 2:
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | (4588) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 255.98/64.81 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | BETA: splitting (4588) gives:
% 255.98/64.81 | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | Case 1:
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | (4589) all_4_100 = n4
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (230), (4589) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4590) pred(n4) = all_4_76
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (199), (4589) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4591) succ(n4) = all_4_78
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (191), (4591) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4592) all_4_78 = n5
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (222), (4590) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4593) all_4_76 = n3
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (130), (4592), (4593) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4594) sum(n3, n5) = all_4_72
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (4562), (4593) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4595) sum(n3, n6) = all_4_74
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (4564), (4592) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4596) sum(n4, n5) = all_4_77
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (44), (4594) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4597) all_4_72 = n8
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n6, n3,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (45), (4595) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4598) all_4_74 = n9
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n5, n4,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (55), (4596) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4599) all_4_77 = n9
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (129), (4598), (4599) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4600) sum(n9, n9) = all_4_99
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REDUCE: (4566), (4597) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | (4601) sum(n10, n8) = all_4_98
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (114), (4600) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4602) all_4_99 = n7
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n8, n10,
% 255.98/64.81 | | | | | | | | | | | | | | | simplifying with (124), (4601) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | (4603) all_4_98 = n7
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 255.98/64.81 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 255.98/64.81 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.81 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.81 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.81 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.81 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.81 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.81 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.81 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 255.98/64.81 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.81 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.81 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 255.98/64.81 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 255.98/64.81 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.81 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4600),
% 255.98/64.81 | | | | | | | | | | | | | | | (4602), (4603) are inconsistent by sub-proof #211.
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | Case 2:
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | (4604) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 255.98/64.81 | | | | | | | | | | | | | | | all_4_100 = n0
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | BETA: splitting (4604) gives:
% 255.98/64.81 | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | Case 1:
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | (4605) all_4_100 = n3
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (230), (4605) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4606) pred(n3) = all_4_76
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (199), (4605) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4607) succ(n3) = all_4_78
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (190), (4607) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4608) all_4_78 = n4
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (221), (4606) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4609) all_4_76 = n2
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (130), (4608), (4609) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4610) sum(n2, n4) = all_4_72
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (4562), (4609) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4611) sum(n2, n6) = all_4_74
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (4564), (4608) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4612) sum(n4, n4) = all_4_77
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (32), (4610) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4613) all_4_72 = n6
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n6, n2,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (34), (4611) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4614) all_4_74 = n8
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n4, n4,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (54), (4612) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4615) all_4_77 = n8
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (129), (4614), (4615) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4616) sum(n8, n8) = all_4_99
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REDUCE: (4566), (4613) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4617) sum(n10, n6) = all_4_98
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (102), (4616) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4618) all_4_99 = n5
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n6, n10,
% 255.98/64.81 | | | | | | | | | | | | | | | | simplifying with (122), (4617) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | (4619) all_4_98 = n5
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.98/64.81 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 255.98/64.81 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.81 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.81 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.81 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.81 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.81 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.81 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.81 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.81 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.81 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.81 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.81 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.81 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.81 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4616),
% 255.98/64.81 | | | | | | | | | | | | | | | | (4618), (4619) are inconsistent by sub-proof #210.
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | Case 2:
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | (4620) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | BETA: splitting (4620) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | Case 1:
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4621) all_4_100 = n2
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (230), (4621) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4622) pred(n2) = all_4_76
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (199), (4621) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4623) succ(n2) = all_4_78
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (189), (4623) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4624) all_4_78 = n3
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (220), (4622) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4625) all_4_76 = n1
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (130), (4624), (4625) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4626) sum(n1, n3) = all_4_72
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (4562), (4625) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4627) sum(n1, n6) = all_4_74
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (4564), (4624) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4628) sum(n4, n3) = all_4_77
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (20), (4626) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4629) all_4_72 = n4
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n6, n1,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (23), (4627) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4630) all_4_74 = n7
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n3, n4,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (53), (4628) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4631) all_4_77 = n7
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (129), (4630), (4631) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4632) sum(n7, n7) = all_4_99
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REDUCE: (4566), (4629) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4633) sum(n10, n4) = all_4_98
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (90), (4632) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4634) all_4_99 = n3
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n4, n10,
% 255.98/64.81 | | | | | | | | | | | | | | | | | simplifying with (120), (4633) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4635) all_4_98 = n3
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4632),
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4634), (4635) are inconsistent by sub-proof #209.
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | Case 2:
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | (4636) all_4_100 = n1 | all_4_100 = n0
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | BETA: splitting (4636) gives:
% 255.98/64.81 | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | Case 1:
% 255.98/64.81 | | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | | (4637) all_4_100 = n1
% 255.98/64.81 | | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | | REDUCE: (230), (4637) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | | (4638) pred(n1) = all_4_76
% 255.98/64.81 | | | | | | | | | | | | | | | | | |
% 255.98/64.81 | | | | | | | | | | | | | | | | | | REDUCE: (199), (4637) imply:
% 255.98/64.81 | | | | | | | | | | | | | | | | | | (4639) succ(n1) = all_4_78
% 255.98/64.81 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (188), (4639) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4640) all_4_78 = n2
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (219), (4638) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4641) all_4_76 = n0
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (130), (4640), (4641) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4642) sum(n0, n2) = all_4_72
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (4562), (4641) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4643) sum(n0, n6) = all_4_74
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (4564), (4640) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4644) sum(n4, n2) = all_4_77
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (8), (4642) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4645) all_4_72 = n2
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n6, n0,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (12), (4643) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4646) all_4_74 = n6
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n2, n4,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (52), (4644) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4647) all_4_77 = n6
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4646), (4647) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4648) sum(n6, n6) = all_4_99
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (4566), (4645) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4649) sum(n10, n2) = all_4_98
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (78), (4648) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4650) all_4_99 = n1
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n2, n10,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (118), (4649) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4651) all_4_98 = n1
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4648),
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4650), (4651) are inconsistent by sub-proof #208.
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | Case 2:
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4652) all_4_100 = n0
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (230), (4652) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4653) pred(n0) = all_4_76
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (199), (4652) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4654) succ(n0) = all_4_78
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (187), (4654) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4655) all_4_78 = n1
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (218), (4653) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4656) all_4_76 = n10
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (130), (4655), (4656) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4657) sum(n10, n1) = all_4_72
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (4562), (4656) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4658) sum(n10, n6) = all_4_74
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (4564), (4655) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4659) sum(n4, n1) = all_4_77
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n1, n4,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (51), (4659) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4660) all_4_77 = n5
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (117), (4657) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4661) all_4_72 = n0
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n6, n10,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (122), (4658) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4662) all_4_74 = n5
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4660), (4662) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4663) sum(n5, n5) = all_4_99
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | REDUCE: (4566), (4661) imply:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4664) sum(n10, n0) = all_4_98
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (66), (4663) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4665) all_4_99 = n10
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 255.98/64.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n0, n10,
% 255.98/64.82 | | | | | | | | | | | | | | | | | | simplifying with (116), (4664) gives:
% 255.98/64.82 | | | | | | | | | | | | | | | | | | (4666) all_4_98 = n10
% 255.98/64.82 | | | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4663),
% 256.23/64.82 | | | | | | | | | | | | | | | | | | (4665), (4666) are inconsistent by sub-proof #207.
% 256.23/64.82 | | | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | | End of split
% 256.23/64.82 | | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | End of split
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | End of split
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | End of split
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | End of split
% 256.23/64.82 | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | Case 2:
% 256.23/64.82 | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | (4667) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.23/64.82 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.23/64.82 | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | BETA: splitting (4556) gives:
% 256.23/64.82 | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | Case 1:
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | (4668) all_4_100 = n5
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | REDUCE: (230), (4668) imply:
% 256.23/64.82 | | | | | | | | | | | | | | (4669) pred(n5) = all_4_76
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | REDUCE: (199), (4668) imply:
% 256.23/64.82 | | | | | | | | | | | | | | (4670) succ(n5) = all_4_78
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 256.23/64.82 | | | | | | | | | | | | | | simplifying with (192), (4670) gives:
% 256.23/64.82 | | | | | | | | | | | | | | (4671) all_4_78 = n6
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 256.23/64.82 | | | | | | | | | | | | | | simplifying with (223), (4669) gives:
% 256.23/64.82 | | | | | | | | | | | | | | (4672) all_4_76 = n4
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | REDUCE: (131), (4672) imply:
% 256.23/64.82 | | | | | | | | | | | | | | (4673) sum(n4, all_4_75) = all_4_74
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | REDUCE: (130), (4671), (4672) imply:
% 256.23/64.82 | | | | | | | | | | | | | | (4674) sum(n4, n6) = all_4_72
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | REDUCE: (127), (4671) imply:
% 256.23/64.82 | | | | | | | | | | | | | | (4675) sum(all_4_79, n6) = all_4_77
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 256.23/64.82 | | | | | | | | | | | | | | simplifying with (56), (4674) gives:
% 256.23/64.82 | | | | | | | | | | | | | | (4676) all_4_72 = n10
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | REDUCE: (132), (4676) imply:
% 256.23/64.82 | | | | | | | | | | | | | | (4677) sum(all_4_73, n10) = all_4_98
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | BETA: splitting (4667) gives:
% 256.23/64.82 | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | Case 1:
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | (4678) all_4_101 = n4
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (229), (4678) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4679) pred(n4) = all_4_79
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (198), (4678) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4680) succ(n4) = all_4_75
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (191), (4680) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4681) all_4_75 = n5
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (222), (4679) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4682) all_4_79 = n3
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (128), (4681), (4682) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4683) sum(n3, n5) = all_4_73
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (4675), (4682) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4684) sum(n3, n6) = all_4_77
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (4673), (4681) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4685) sum(n4, n5) = all_4_74
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (44), (4683) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4686) all_4_73 = n8
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (45), (4684) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4687) all_4_77 = n9
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (55), (4685) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4688) all_4_74 = n9
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (4677), (4686) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4689) sum(n8, n10) = all_4_98
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REDUCE: (129), (4687), (4688) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | (4690) sum(n9, n9) = all_4_99
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (104), (4689) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4691) all_4_98 = n7
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 256.23/64.82 | | | | | | | | | | | | | | | simplifying with (114), (4690) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | (4692) all_4_99 = n7
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 256.23/64.82 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 256.23/64.82 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.82 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.82 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.82 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.82 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.82 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.82 | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.82 | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.23/64.82 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.82 | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.82 | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.23/64.82 | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.23/64.82 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.82 | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4690),
% 256.23/64.82 | | | | | | | | | | | | | | | (4691), (4692) are inconsistent by sub-proof #211.
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | Case 2:
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | (4693) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.23/64.82 | | | | | | | | | | | | | | | all_4_101 = n0
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | BETA: splitting (4693) gives:
% 256.23/64.82 | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | Case 1:
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | (4694) all_4_101 = n3
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (229), (4694) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4695) pred(n3) = all_4_79
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (198), (4694) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4696) succ(n3) = all_4_75
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (190), (4696) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4697) all_4_75 = n4
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (221), (4695) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4698) all_4_79 = n2
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (128), (4697), (4698) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4699) sum(n2, n4) = all_4_73
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (4675), (4698) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4700) sum(n2, n6) = all_4_77
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (4673), (4697) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4701) sum(n4, n4) = all_4_74
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (32), (4699) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4702) all_4_73 = n6
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (34), (4700) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4703) all_4_77 = n8
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (54), (4701) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4704) all_4_74 = n8
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (4677), (4702) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4705) sum(n6, n10) = all_4_98
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | REDUCE: (129), (4703), (4704) imply:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4706) sum(n8, n8) = all_4_99
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (82), (4705) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4707) all_4_98 = n5
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 256.23/64.82 | | | | | | | | | | | | | | | | simplifying with (102), (4706) gives:
% 256.23/64.82 | | | | | | | | | | | | | | | | (4708) all_4_99 = n5
% 256.23/64.82 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.23/64.83 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 256.23/64.83 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.83 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.83 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.83 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.83 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.83 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.83 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.83 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.23/64.83 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.83 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.83 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.23/64.83 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.23/64.83 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.83 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4706),
% 256.23/64.83 | | | | | | | | | | | | | | | | (4707), (4708) are inconsistent by sub-proof #210.
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | Case 2:
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | (4709) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | BETA: splitting (4709) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | Case 1:
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4710) all_4_101 = n2
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (229), (4710) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4711) pred(n2) = all_4_79
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (198), (4710) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4712) succ(n2) = all_4_75
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (189), (4712) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4713) all_4_75 = n3
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (220), (4711) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4714) all_4_79 = n1
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (128), (4713), (4714) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4715) sum(n1, n3) = all_4_73
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (4675), (4714) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4716) sum(n1, n6) = all_4_77
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (4673), (4713) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4717) sum(n4, n3) = all_4_74
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (20), (4715) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4718) all_4_73 = n4
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (23), (4716) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4719) all_4_77 = n7
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (53), (4717) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4720) all_4_74 = n7
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (4677), (4718) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4721) sum(n4, n10) = all_4_98
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REDUCE: (129), (4719), (4720) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4722) sum(n7, n7) = all_4_99
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (60), (4721) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4723) all_4_98 = n3
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 256.23/64.83 | | | | | | | | | | | | | | | | | simplifying with (90), (4722) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4724) all_4_99 = n3
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4722),
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4723), (4724) are inconsistent by sub-proof #209.
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | Case 2:
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | (4725) all_4_101 = n1 | all_4_101 = n0
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | BETA: splitting (4725) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | Case 1:
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4726) all_4_101 = n1
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (229), (4726) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4727) pred(n1) = all_4_79
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (198), (4726) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4728) succ(n1) = all_4_75
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (188), (4728) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4729) all_4_75 = n2
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (219), (4727) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4730) all_4_79 = n0
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (128), (4729), (4730) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4731) sum(n0, n2) = all_4_73
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (4675), (4730) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4732) sum(n0, n6) = all_4_77
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (4673), (4729) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4733) sum(n4, n2) = all_4_74
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (8), (4731) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4734) all_4_73 = n2
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (12), (4732) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4735) all_4_77 = n6
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (52), (4733) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4736) all_4_74 = n6
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (4677), (4734) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4737) sum(n2, n10) = all_4_98
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4735), (4736) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4738) sum(n6, n6) = all_4_99
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (38), (4737) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4739) all_4_98 = n1
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (78), (4738) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4740) all_4_99 = n1
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4738),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4739), (4740) are inconsistent by sub-proof #208.
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | Case 2:
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4741) all_4_101 = n0
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (229), (4741) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4742) pred(n0) = all_4_79
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (198), (4741) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4743) succ(n0) = all_4_75
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (187), (4743) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4744) all_4_75 = n1
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (218), (4742) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4745) all_4_79 = n10
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (128), (4744), (4745) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4746) sum(n10, n1) = all_4_73
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (4675), (4745) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4747) sum(n10, n6) = all_4_77
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (4673), (4744) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4748) sum(n4, n1) = all_4_74
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (51), (4748) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4749) all_4_74 = n5
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (117), (4746) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4750) all_4_73 = n0
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (122), (4747) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4751) all_4_77 = n5
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (4677), (4750) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4752) sum(n0, n10) = all_4_98
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4749), (4751) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4753) sum(n5, n5) = all_4_99
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (16), (4752) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4754) all_4_98 = n10
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.23/64.83 | | | | | | | | | | | | | | | | | | simplifying with (66), (4753) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4755) all_4_99 = n10
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4753),
% 256.23/64.83 | | | | | | | | | | | | | | | | | | (4754), (4755) are inconsistent by sub-proof #207.
% 256.23/64.83 | | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | | End of split
% 256.23/64.83 | | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | End of split
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | End of split
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | End of split
% 256.23/64.83 | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | Case 2:
% 256.23/64.83 | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | (4756) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 256.23/64.83 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 256.23/64.83 | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | BETA: splitting (4667) gives:
% 256.23/64.83 | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | Case 1:
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | (4757) all_4_101 = n4
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | REDUCE: (229), (4757) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | (4758) pred(n4) = all_4_79
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | REDUCE: (198), (4757) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | (4759) succ(n4) = all_4_75
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | simplifying with (191), (4759) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | (4760) all_4_75 = n5
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | simplifying with (222), (4758) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | (4761) all_4_79 = n3
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | REDUCE: (131), (4760) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | (4762) sum(all_4_76, n5) = all_4_74
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | REDUCE: (128), (4760), (4761) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | (4763) sum(n3, n5) = all_4_73
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | REDUCE: (127), (4761) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | (4764) sum(n3, all_4_78) = all_4_77
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.23/64.83 | | | | | | | | | | | | | | | simplifying with (44), (4763) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | (4765) all_4_73 = n8
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | REDUCE: (132), (4765) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | (4766) sum(n8, all_4_72) = all_4_98
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 256.23/64.83 | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | Case 1:
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | (4767) all_4_100 = n4
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | REDUCE: (230), (4767) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4768) pred(n4) = all_4_76
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | REDUCE: (199), (4767) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4769) succ(n4) = all_4_78
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | | simplifying with (191), (4769) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4770) all_4_78 = n5
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 256.23/64.83 | | | | | | | | | | | | | | | | simplifying with (222), (4768) gives:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4771) all_4_76 = n3
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | REDUCE: (130), (4770), (4771) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4772) sum(n3, n5) = all_4_72
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | REDUCE: (4762), (4771) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4773) sum(n3, n5) = all_4_74
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.83 | | | | | | | | | | | | | | | | REDUCE: (4764), (4770) imply:
% 256.23/64.83 | | | | | | | | | | | | | | | | (4774) sum(n3, n5) = all_4_77
% 256.23/64.83 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | simplifying with (44), (4773) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4775) all_4_74 = n8
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | simplifying with (4772), (4773) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4776) all_4_72 = all_4_74
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | simplifying with (4772), (4774) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4777) all_4_72 = all_4_77
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (4776), (4777) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4778) all_4_74 = all_4_77
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | SIMP: (4778) implies:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4779) all_4_74 = all_4_77
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (4775), (4779) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4780) all_4_77 = n8
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (4777), (4780) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4781) all_4_72 = n8
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | REDUCE: (129), (4775), (4780) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4782) sum(n8, n8) = all_4_99
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | REDUCE: (4766), (4781) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4783) sum(n8, n8) = all_4_98
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 256.23/64.84 | | | | | | | | | | | | | | | | simplifying with (102), (4783) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4784) all_4_98 = n5
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 256.23/64.84 | | | | | | | | | | | | | | | | simplifying with (4782), (4783) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4785) all_4_98 = all_4_99
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (4784), (4785) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4786) all_4_99 = n5
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | SIMP: (4786) implies:
% 256.23/64.84 | | | | | | | | | | | | | | | | (4787) all_4_99 = n5
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.23/64.84 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 256.23/64.84 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.84 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.84 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.84 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.84 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.84 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.84 | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.84 | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.23/64.84 | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.84 | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.84 | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.23/64.84 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.23/64.84 | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.84 | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4782),
% 256.23/64.84 | | | | | | | | | | | | | | | | (4784), (4787) are inconsistent by sub-proof #210.
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | Case 2:
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | (4788) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 256.23/64.84 | | | | | | | | | | | | | | | | all_4_100 = n0
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | BETA: splitting (4788) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | Case 1:
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4789) all_4_100 = n3
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (230), (4789) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4790) pred(n3) = all_4_76
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (199), (4789) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4791) succ(n3) = all_4_78
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (190), (4791) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4792) all_4_78 = n4
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (221), (4790) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4793) all_4_76 = n2
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (130), (4792), (4793) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4794) sum(n2, n4) = all_4_72
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (4762), (4793) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4795) sum(n2, n5) = all_4_74
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (4764), (4792) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4796) sum(n3, n4) = all_4_77
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (32), (4794) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4797) all_4_72 = n6
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (33), (4795) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4798) all_4_74 = n7
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (43), (4796) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4799) all_4_77 = n7
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (129), (4798), (4799) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4800) sum(n7, n7) = all_4_99
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REDUCE: (4766), (4797) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4801) sum(n8, n6) = all_4_98
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (90), (4800) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4802) all_4_99 = n3
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 256.23/64.84 | | | | | | | | | | | | | | | | | simplifying with (100), (4801) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4803) all_4_98 = n3
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4800),
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4802), (4803) are inconsistent by sub-proof #209.
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | Case 2:
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | (4804) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | BETA: splitting (4804) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | Case 1:
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4805) all_4_100 = n2
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (230), (4805) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4806) pred(n2) = all_4_76
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (199), (4805) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4807) succ(n2) = all_4_78
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (189), (4807) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4808) all_4_78 = n3
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (220), (4806) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4809) all_4_76 = n1
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (130), (4808), (4809) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4810) sum(n1, n3) = all_4_72
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (4762), (4809) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4811) sum(n1, n5) = all_4_74
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (4764), (4808) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4812) sum(n3, n3) = all_4_77
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (20), (4810) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4813) all_4_72 = n4
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (22), (4811) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4814) all_4_74 = n6
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (42), (4812) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4815) all_4_77 = n6
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4814), (4815) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4816) sum(n6, n6) = all_4_99
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REDUCE: (4766), (4813) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4817) sum(n8, n4) = all_4_98
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (78), (4816) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4818) all_4_99 = n1
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | simplifying with (98), (4817) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4819) all_4_98 = n1
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4816),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4818), (4819) are inconsistent by sub-proof #208.
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | Case 2:
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | (4820) all_4_100 = n1 | all_4_100 = n0
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | BETA: splitting (4820) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | Case 1:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4821) all_4_100 = n1
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (4821) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4822) pred(n1) = all_4_76
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (4821) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4823) succ(n1) = all_4_78
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (188), (4823) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4824) all_4_78 = n2
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (219), (4822) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4825) all_4_76 = n0
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (4824), (4825) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4826) sum(n0, n2) = all_4_72
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (4762), (4825) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4827) sum(n0, n5) = all_4_74
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (4764), (4824) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4828) sum(n3, n2) = all_4_77
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (8), (4826) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4829) all_4_72 = n2
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (11), (4827) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4830) all_4_74 = n5
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (41), (4828) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4831) all_4_77 = n5
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4830), (4831) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4832) sum(n5, n5) = all_4_99
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (4766), (4829) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4833) sum(n8, n2) = all_4_98
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (66), (4832) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4834) all_4_99 = n10
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (96), (4833) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4835) all_4_98 = n10
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4832),
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4834), (4835) are inconsistent by sub-proof #207.
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | Case 2:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4836) all_4_100 = n0
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (4836) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4837) pred(n0) = all_4_76
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (4836) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4838) succ(n0) = all_4_78
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (187), (4838) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4839) all_4_78 = n1
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | simplifying with (218), (4837) gives:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4840) all_4_76 = n10
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (4839), (4840) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4841) sum(n10, n1) = all_4_72
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (4762), (4840) imply:
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | (4842) sum(n10, n5) = all_4_74
% 256.23/64.84 | | | | | | | | | | | | | | | | | | |
% 256.23/64.84 | | | | | | | | | | | | | | | | | | | REDUCE: (4764), (4839) imply:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4843) sum(n3, n1) = all_4_77
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (40), (4843) gives:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4844) all_4_77 = n4
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (117), (4841) gives:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4845) all_4_72 = n0
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (121), (4842) gives:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4846) all_4_74 = n4
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4844), (4846) imply:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4847) sum(n4, n4) = all_4_99
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (4766), (4845) imply:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4848) sum(n8, n0) = all_4_98
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (54), (4847) gives:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4849) all_4_99 = n8
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (94), (4848) gives:
% 256.23/64.85 | | | | | | | | | | | | | | | | | | | (4850) all_4_98 = n8
% 256.23/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4847),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4849), (4850) are inconsistent by sub-proof #206.
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | End of split
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | End of split
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | End of split
% 256.30/64.85 | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | Case 2:
% 256.30/64.85 | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | (4851) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.30/64.85 | | | | | | | | | | | | | | | all_4_101 = n0
% 256.30/64.85 | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 256.30/64.85 | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | Case 1:
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | (4852) all_4_100 = n4
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | REDUCE: (230), (4852) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4853) pred(n4) = all_4_76
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | REDUCE: (199), (4852) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4854) succ(n4) = all_4_78
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 256.30/64.85 | | | | | | | | | | | | | | | | simplifying with (191), (4854) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4855) all_4_78 = n5
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 256.30/64.85 | | | | | | | | | | | | | | | | simplifying with (222), (4853) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4856) all_4_76 = n3
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | REDUCE: (131), (4856) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4857) sum(n3, all_4_75) = all_4_74
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | REDUCE: (130), (4855), (4856) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4858) sum(n3, n5) = all_4_72
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | REDUCE: (127), (4855) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4859) sum(all_4_79, n5) = all_4_77
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 256.30/64.85 | | | | | | | | | | | | | | | | simplifying with (44), (4858) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4860) all_4_72 = n8
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | REDUCE: (132), (4860) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | (4861) sum(all_4_73, n8) = all_4_98
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | BETA: splitting (4851) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4862) all_4_101 = n3
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (229), (4862) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4863) pred(n3) = all_4_79
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (198), (4862) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4864) succ(n3) = all_4_75
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (190), (4864) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4865) all_4_75 = n4
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (221), (4863) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4866) all_4_79 = n2
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (128), (4865), (4866) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4867) sum(n2, n4) = all_4_73
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (4859), (4866) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4868) sum(n2, n5) = all_4_77
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (4857), (4865) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4869) sum(n3, n4) = all_4_74
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (32), (4867) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4870) all_4_73 = n6
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (33), (4868) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4871) all_4_77 = n7
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (43), (4869) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4872) all_4_74 = n7
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (4861), (4870) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4873) sum(n6, n8) = all_4_98
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REDUCE: (129), (4871), (4872) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4874) sum(n7, n7) = all_4_99
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (80), (4873) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4875) all_4_98 = n3
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 256.30/64.85 | | | | | | | | | | | | | | | | | simplifying with (90), (4874) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4876) all_4_99 = n3
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4874),
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4875), (4876) are inconsistent by sub-proof #209.
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | (4877) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | BETA: splitting (4877) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4878) all_4_101 = n2
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (229), (4878) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4879) pred(n2) = all_4_79
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (198), (4878) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4880) succ(n2) = all_4_75
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (189), (4880) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4881) all_4_75 = n3
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (220), (4879) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4882) all_4_79 = n1
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (128), (4881), (4882) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4883) sum(n1, n3) = all_4_73
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (4859), (4882) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4884) sum(n1, n5) = all_4_77
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4881) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4885) sum(n3, n3) = all_4_74
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (20), (4883) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4886) all_4_73 = n4
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (22), (4884) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4887) all_4_77 = n6
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (42), (4885) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4888) all_4_74 = n6
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (4861), (4886) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4889) sum(n4, n8) = all_4_98
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4887), (4888) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4890) sum(n6, n6) = all_4_99
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (58), (4889) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4891) all_4_98 = n1
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | simplifying with (78), (4890) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4892) all_4_99 = n1
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4890),
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4891), (4892) are inconsistent by sub-proof #208.
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | (4893) all_4_101 = n1 | all_4_101 = n0
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | BETA: splitting (4893) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4894) all_4_101 = n1
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (4894) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4895) pred(n1) = all_4_79
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (4894) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4896) succ(n1) = all_4_75
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (188), (4896) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4897) all_4_75 = n2
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (219), (4895) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4898) all_4_79 = n0
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4897), (4898) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4899) sum(n0, n2) = all_4_73
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (4859), (4898) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4900) sum(n0, n5) = all_4_77
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4897) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4901) sum(n3, n2) = all_4_74
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (8), (4899) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4902) all_4_73 = n2
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (11), (4900) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4903) all_4_77 = n5
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (41), (4901) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4904) all_4_74 = n5
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (4861), (4902) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4905) sum(n2, n8) = all_4_98
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4903), (4904) imply:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4906) sum(n5, n5) = all_4_99
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (36), (4905) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4907) all_4_98 = n10
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | simplifying with (66), (4906) gives:
% 256.30/64.85 | | | | | | | | | | | | | | | | | | | (4908) all_4_99 = n10
% 256.30/64.85 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4906),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4907), (4908) are inconsistent by sub-proof #207.
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4909) all_4_101 = n0
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (4909) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4910) pred(n0) = all_4_79
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (4909) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4911) succ(n0) = all_4_75
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (187), (4911) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4912) all_4_75 = n1
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (218), (4910) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4913) all_4_79 = n10
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4912), (4913) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4914) sum(n10, n1) = all_4_73
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (4859), (4913) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4915) sum(n10, n5) = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4912) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4916) sum(n3, n1) = all_4_74
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (40), (4916) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4917) all_4_74 = n4
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (117), (4914) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4918) all_4_73 = n0
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (121), (4915) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4919) all_4_77 = n4
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (4861), (4918) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4920) sum(n0, n8) = all_4_98
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4917), (4919) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4921) sum(n4, n4) = all_4_99
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (14), (4920) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4922) all_4_98 = n8
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (54), (4921) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4923) all_4_99 = n8
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4921),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4922), (4923) are inconsistent by sub-proof #206.
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | End of split
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | End of split
% 256.30/64.86 | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | Case 2:
% 256.30/64.86 | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | (4924) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 256.30/64.86 | | | | | | | | | | | | | | | | all_4_100 = n0
% 256.30/64.86 | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | BETA: splitting (4851) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4925) all_4_101 = n3
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | REDUCE: (229), (4925) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4926) pred(n3) = all_4_79
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | REDUCE: (198), (4925) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4927) succ(n3) = all_4_75
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.30/64.86 | | | | | | | | | | | | | | | | | simplifying with (190), (4927) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4928) all_4_75 = n4
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.30/64.86 | | | | | | | | | | | | | | | | | simplifying with (221), (4926) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4929) all_4_79 = n2
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | REDUCE: (131), (4928) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4930) sum(all_4_76, n4) = all_4_74
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | REDUCE: (128), (4928), (4929) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4931) sum(n2, n4) = all_4_73
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | REDUCE: (127), (4929) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4932) sum(n2, all_4_78) = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | simplifying with (32), (4931) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4933) all_4_73 = n6
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | REDUCE: (132), (4933) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | (4934) sum(n6, all_4_72) = all_4_98
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | BETA: splitting (4924) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4935) all_4_100 = n3
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (230), (4935) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4936) pred(n3) = all_4_76
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (199), (4935) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4937) succ(n3) = all_4_78
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (190), (4937) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4938) all_4_78 = n4
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (221), (4936) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4939) all_4_76 = n2
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (130), (4938), (4939) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4940) sum(n2, n4) = all_4_72
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (4930), (4939) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4941) sum(n2, n4) = all_4_74
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (4932), (4938) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4942) sum(n2, n4) = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (32), (4941) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4943) all_4_74 = n6
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (4940), (4941) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4944) all_4_72 = all_4_74
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (4940), (4942) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4945) all_4_72 = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4944), (4945) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4946) all_4_74 = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | SIMP: (4946) implies:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4947) all_4_74 = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4943), (4947) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4948) all_4_77 = n6
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4945), (4948) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4949) all_4_72 = n6
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (129), (4943), (4948) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4950) sum(n6, n6) = all_4_99
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REDUCE: (4934), (4949) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4951) sum(n6, n6) = all_4_98
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (78), (4951) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4952) all_4_98 = n1
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | simplifying with (4950), (4951) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4953) all_4_98 = all_4_99
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4952), (4953) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4954) all_4_99 = n1
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | SIMP: (4954) implies:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4955) all_4_99 = n1
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4950),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4952), (4955) are inconsistent by sub-proof #208.
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | (4956) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | BETA: splitting (4956) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4957) all_4_100 = n2
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (4957) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4958) pred(n2) = all_4_76
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (4957) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4959) succ(n2) = all_4_78
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (189), (4959) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4960) all_4_78 = n3
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (220), (4958) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4961) all_4_76 = n1
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (4960), (4961) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4962) sum(n1, n3) = all_4_72
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (4930), (4961) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4963) sum(n1, n4) = all_4_74
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (4932), (4960) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4964) sum(n2, n3) = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (20), (4962) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4965) all_4_72 = n4
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (21), (4963) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4966) all_4_74 = n5
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (31), (4964) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4967) all_4_77 = n5
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4966), (4967) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4968) sum(n5, n5) = all_4_99
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REDUCE: (4934), (4965) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4969) sum(n6, n4) = all_4_98
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (66), (4968) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4970) all_4_99 = n10
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | simplifying with (76), (4969) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4971) all_4_98 = n10
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4968),
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4970), (4971) are inconsistent by sub-proof #207.
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | (4972) all_4_100 = n1 | all_4_100 = n0
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (4972) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4973) all_4_100 = n1
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (4973) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4974) pred(n1) = all_4_76
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (4973) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4975) succ(n1) = all_4_78
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (4975) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4976) all_4_78 = n2
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (4974) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4977) all_4_76 = n0
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (4976), (4977) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4978) sum(n0, n2) = all_4_72
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (4930), (4977) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4979) sum(n0, n4) = all_4_74
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (4932), (4976) imply:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4980) sum(n2, n2) = all_4_77
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (4978) gives:
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | (4981) all_4_72 = n2
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 256.30/64.86 | | | | | | | | | | | | | | | | | | | | simplifying with (10), (4979) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4982) all_4_74 = n4
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (30), (4980) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4983) all_4_77 = n4
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4982), (4983) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4984) sum(n4, n4) = all_4_99
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (4934), (4981) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4985) sum(n6, n2) = all_4_98
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (4984) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4986) all_4_99 = n8
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (74), (4985) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4987) all_4_98 = n8
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4984),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4986), (4987) are inconsistent by sub-proof #206.
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4988) all_4_100 = n0
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (4988) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4989) pred(n0) = all_4_76
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (4988) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4990) succ(n0) = all_4_78
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (4990) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4991) all_4_78 = n1
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (4989) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4992) all_4_76 = n10
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (4991), (4992) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4993) sum(n10, n1) = all_4_72
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (4930), (4992) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4994) sum(n10, n4) = all_4_74
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (4932), (4991) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4995) sum(n2, n1) = all_4_77
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (29), (4995) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4996) all_4_77 = n3
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (4993) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4997) all_4_72 = n0
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (120), (4994) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4998) all_4_74 = n3
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4996), (4998) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (4999) sum(n3, n3) = all_4_99
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (4934), (4997) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5000) sum(n6, n0) = all_4_98
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (42), (4999) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5001) all_4_99 = n6
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (72), (5000) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5002) all_4_98 = n6
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (4999),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5001), (5002) are inconsistent by sub-proof #205.
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | End of split
% 256.30/64.87 | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.87 | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | (5003) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.30/64.87 | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | BETA: splitting (4924) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5004) all_4_100 = n3
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | REDUCE: (230), (5004) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5005) pred(n3) = all_4_76
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | REDUCE: (199), (5004) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5006) succ(n3) = all_4_78
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | simplifying with (190), (5006) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5007) all_4_78 = n4
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | simplifying with (221), (5005) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5008) all_4_76 = n2
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | REDUCE: (131), (5008) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5009) sum(n2, all_4_75) = all_4_74
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | REDUCE: (130), (5007), (5008) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5010) sum(n2, n4) = all_4_72
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | REDUCE: (127), (5007) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5011) sum(all_4_79, n4) = all_4_77
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | simplifying with (32), (5010) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5012) all_4_72 = n6
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | REDUCE: (132), (5012) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | (5013) sum(all_4_73, n6) = all_4_98
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | BETA: splitting (5003) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5014) all_4_101 = n2
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5014) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5015) pred(n2) = all_4_79
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5014) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5016) succ(n2) = all_4_75
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (189), (5016) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5017) all_4_75 = n3
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (220), (5015) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5018) all_4_79 = n1
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5017), (5018) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5019) sum(n1, n3) = all_4_73
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (5011), (5018) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5020) sum(n1, n4) = all_4_77
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (5009), (5017) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5021) sum(n2, n3) = all_4_74
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (20), (5019) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5022) all_4_73 = n4
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (21), (5020) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5023) all_4_77 = n5
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (31), (5021) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5024) all_4_74 = n5
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (5013), (5022) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5025) sum(n4, n6) = all_4_98
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5023), (5024) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5026) sum(n5, n5) = all_4_99
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (56), (5025) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5027) all_4_98 = n10
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | simplifying with (66), (5026) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5028) all_4_99 = n10
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5026),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5027), (5028) are inconsistent by sub-proof #207.
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | (5029) all_4_101 = n1 | all_4_101 = n0
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (5029) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5030) all_4_101 = n1
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5030) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5031) pred(n1) = all_4_79
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5030) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5032) succ(n1) = all_4_75
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (5032) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5033) all_4_75 = n2
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (5031) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5034) all_4_79 = n0
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5033), (5034) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5035) sum(n0, n2) = all_4_73
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (5011), (5034) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5036) sum(n0, n4) = all_4_77
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (5009), (5033) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5037) sum(n2, n2) = all_4_74
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5035) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5038) all_4_73 = n2
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (10), (5036) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5039) all_4_77 = n4
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (30), (5037) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5040) all_4_74 = n4
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (5013), (5038) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5041) sum(n2, n6) = all_4_98
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5039), (5040) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5042) sum(n4, n4) = all_4_99
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (34), (5041) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5043) all_4_98 = n8
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (5042) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5044) all_4_99 = n8
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5042),
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5043), (5044) are inconsistent by sub-proof #206.
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5045) all_4_101 = n0
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5045) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5046) pred(n0) = all_4_79
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5045) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5047) succ(n0) = all_4_75
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (5047) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5048) all_4_75 = n1
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (5046) gives:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5049) all_4_79 = n10
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5048), (5049) imply:
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | (5050) sum(n10, n1) = all_4_73
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (5011), (5049) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5051) sum(n10, n4) = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (5009), (5048) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5052) sum(n2, n1) = all_4_74
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (29), (5052) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5053) all_4_74 = n3
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5050) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5054) all_4_73 = n0
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (120), (5051) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5055) all_4_77 = n3
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (5013), (5054) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5056) sum(n0, n6) = all_4_98
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5053), (5055) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5057) sum(n3, n3) = all_4_99
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (12), (5056) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5058) all_4_98 = n6
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (42), (5057) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5059) all_4_99 = n6
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5057),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5058), (5059) are inconsistent by sub-proof #205.
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.88 | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.88 | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | (5060) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 256.30/64.88 | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | BETA: splitting (5003) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5061) all_4_101 = n2
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5061) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5062) pred(n2) = all_4_79
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5061) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5063) succ(n2) = all_4_75
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | simplifying with (189), (5063) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5064) all_4_75 = n3
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | simplifying with (220), (5062) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5065) all_4_79 = n1
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (5064) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5066) sum(all_4_76, n3) = all_4_74
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5064), (5065) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5067) sum(n1, n3) = all_4_73
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5065) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5068) sum(n1, all_4_78) = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | simplifying with (20), (5067) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5069) all_4_73 = n4
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5069) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | (5070) sum(n4, all_4_72) = all_4_98
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (5060) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5071) all_4_100 = n2
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5071) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5072) pred(n2) = all_4_76
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5071) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5073) succ(n2) = all_4_78
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (5073) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5074) all_4_78 = n3
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (5072) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5075) all_4_76 = n1
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5074), (5075) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5076) sum(n1, n3) = all_4_72
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (5066), (5075) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5077) sum(n1, n3) = all_4_74
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (5068), (5074) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5078) sum(n1, n3) = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (5077) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5079) all_4_74 = n4
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (5076), (5077) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5080) all_4_72 = all_4_74
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (5076), (5078) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5081) all_4_72 = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5080), (5081) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5082) all_4_74 = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | SIMP: (5082) implies:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5083) all_4_74 = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5079), (5083) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5084) all_4_77 = n4
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5081), (5084) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5085) all_4_72 = n4
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5079), (5084) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5086) sum(n4, n4) = all_4_99
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (5070), (5085) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5087) sum(n4, n4) = all_4_98
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (5087) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5088) all_4_98 = n8
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | simplifying with (5086), (5087) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5089) all_4_98 = all_4_99
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5088), (5089) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5090) all_4_99 = n8
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | SIMP: (5090) implies:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5091) all_4_99 = n8
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5086),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5088), (5091) are inconsistent by sub-proof #206.
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | (5092) all_4_100 = n1 | all_4_100 = n0
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5092) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5093) all_4_100 = n1
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5093) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5094) pred(n1) = all_4_76
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5093) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5095) succ(n1) = all_4_78
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (5095) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5096) all_4_78 = n2
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (5094) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5097) all_4_76 = n0
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5096), (5097) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5098) sum(n0, n2) = all_4_72
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5066), (5097) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5099) sum(n0, n3) = all_4_74
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5068), (5096) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5100) sum(n1, n2) = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5098) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5101) all_4_72 = n2
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5099) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5102) all_4_74 = n3
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (5100) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5103) all_4_77 = n3
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5102), (5103) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5104) sum(n3, n3) = all_4_99
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5070), (5101) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5105) sum(n4, n2) = all_4_98
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (5104) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5106) all_4_99 = n6
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (5105) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5107) all_4_98 = n6
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5104),
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5106), (5107) are inconsistent by sub-proof #205.
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5108) all_4_100 = n0
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5108) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5109) pred(n0) = all_4_76
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5108) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5110) succ(n0) = all_4_78
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (5110) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5111) all_4_78 = n1
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (5109) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5112) all_4_76 = n10
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5111), (5112) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5113) sum(n10, n1) = all_4_72
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5066), (5112) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5114) sum(n10, n3) = all_4_74
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5068), (5111) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5115) sum(n1, n1) = all_4_77
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (5115) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5116) all_4_77 = n2
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5113) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5117) all_4_72 = n0
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (5114) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5118) all_4_74 = n2
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5116), (5118) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5119) sum(n2, n2) = all_4_99
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5070), (5117) imply:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5120) sum(n4, n0) = all_4_98
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (5119) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5121) all_4_99 = n4
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (5120) gives:
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | | (5122) all_4_98 = n4
% 256.30/64.88 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5119),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5121), (5122) are inconsistent by sub-proof #204.
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.89 | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | (5123) all_4_101 = n1 | all_4_101 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (5060) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5124) all_4_100 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5124) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5125) pred(n2) = all_4_76
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5124) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5126) succ(n2) = all_4_78
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (5126) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5127) all_4_78 = n3
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (5125) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5128) all_4_76 = n1
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (5128) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5129) sum(n1, all_4_75) = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5127), (5128) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5130) sum(n1, n3) = all_4_72
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5127) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5131) sum(all_4_79, n3) = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (5130) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5132) all_4_72 = n4
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5132) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5133) sum(all_4_73, n4) = all_4_98
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5123) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5134) all_4_101 = n1
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5134) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5135) pred(n1) = all_4_79
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5134) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5136) succ(n1) = all_4_75
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (5136) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5137) all_4_75 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (5135) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5138) all_4_79 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5137), (5138) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5139) sum(n0, n2) = all_4_73
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5131), (5138) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5140) sum(n0, n3) = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5129), (5137) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5141) sum(n1, n2) = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5139) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5142) all_4_73 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5140) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5143) all_4_77 = n3
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (5141) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5144) all_4_74 = n3
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5133), (5142) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5145) sum(n2, n4) = all_4_98
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5143), (5144) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5146) sum(n3, n3) = all_4_99
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (5145) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5147) all_4_98 = n6
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (5146) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5148) all_4_99 = n6
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5146),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5147), (5148) are inconsistent by sub-proof #205.
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5149) all_4_101 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5149) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5150) pred(n0) = all_4_79
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5149) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5151) succ(n0) = all_4_75
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (5151) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5152) all_4_75 = n1
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (5150) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5153) all_4_79 = n10
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5152), (5153) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5154) sum(n10, n1) = all_4_73
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5131), (5153) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5155) sum(n10, n3) = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5129), (5152) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5156) sum(n1, n1) = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (5156) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5157) all_4_74 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5154) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5158) all_4_73 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (5155) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5159) all_4_77 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5133), (5158) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5160) sum(n0, n4) = all_4_98
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5157), (5159) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5161) sum(n2, n2) = all_4_99
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (5160) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5162) all_4_98 = n4
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (5161) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5163) all_4_99 = n4
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5161),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5162), (5163) are inconsistent by sub-proof #204.
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | (5164) all_4_100 = n1 | all_4_100 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5123) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5165) all_4_101 = n1
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5165) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5166) pred(n1) = all_4_79
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5165) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5167) succ(n1) = all_4_75
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (5167) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5168) all_4_75 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (5166) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5169) all_4_79 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (5168) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5170) sum(all_4_76, n2) = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5168), (5169) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5171) sum(n0, n2) = all_4_73
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5169) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5172) sum(n0, all_4_78) = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5171) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5173) all_4_73 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5173) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | (5174) sum(n2, all_4_72) = all_4_98
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5164) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5175) all_4_100 = n1
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5175) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5176) pred(n1) = all_4_76
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5175) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5177) succ(n1) = all_4_78
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (5177) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5178) all_4_78 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (5176) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5179) all_4_76 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5178), (5179) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5180) sum(n0, n2) = all_4_72
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5170), (5179) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5181) sum(n0, n2) = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5172), (5178) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5182) sum(n0, n2) = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5181) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5183) all_4_74 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5180), (5181) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5184) all_4_72 = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5180), (5182) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5185) all_4_72 = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5184), (5185) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5186) all_4_74 = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5186) implies:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5187) all_4_74 = all_4_77
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5183), (5187) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5188) all_4_77 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5185), (5188) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5189) all_4_72 = n2
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5183), (5188) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5190) sum(n2, n2) = all_4_99
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5189) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5191) sum(n2, n2) = all_4_98
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (5191) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5192) all_4_98 = n4
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5190), (5191) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5193) all_4_98 = all_4_99
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5192), (5193) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5194) all_4_99 = n4
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5194) implies:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5195) all_4_99 = n4
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (186), (188), (190), (191), (192), (196), (200),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (222), (223),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5190),
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5192), (5195) are inconsistent by sub-proof #204.
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5196) all_4_100 = n0
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5196) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5197) pred(n0) = all_4_76
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5196) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5198) succ(n0) = all_4_78
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (5198) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5199) all_4_78 = n1
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (5197) gives:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5200) all_4_76 = n10
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5199), (5200) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5201) sum(n10, n1) = all_4_72
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5170), (5200) imply:
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | | (5202) sum(n10, n2) = all_4_74
% 256.30/64.89 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5172), (5199) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5203) sum(n0, n1) = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (5203) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5204) all_4_77 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5201) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5205) all_4_72 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (5202) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5206) all_4_74 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5204), (5206) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5207) sum(n1, n1) = all_4_99
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5205) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5208) sum(n2, n0) = all_4_98
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (5207) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5209) all_4_99 = n2
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (5208) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5210) all_4_98 = n2
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5207),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5209), (5210) are inconsistent by sub-proof #203.
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5211) all_4_101 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (5211) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5212) pred(n0) = all_4_79
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (5211) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5213) succ(n0) = all_4_75
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (5213) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5214) all_4_75 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (5212) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5215) all_4_79 = n10
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (5214) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5216) sum(all_4_76, n1) = all_4_74
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5214), (5215) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5217) sum(n10, n1) = all_4_73
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5215) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5218) sum(n10, all_4_78) = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5217) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5219) all_4_73 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5219) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | (5220) sum(n0, all_4_72) = all_4_98
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5164) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5221) all_4_100 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5221) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5222) pred(n1) = all_4_76
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5221) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5223) succ(n1) = all_4_78
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (5223) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5224) all_4_78 = n2
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (5222) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5225) all_4_76 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5224), (5225) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5226) sum(n0, n2) = all_4_72
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5216), (5225) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5227) sum(n0, n1) = all_4_74
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5218), (5224) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5228) sum(n10, n2) = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n1, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (5227) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5229) all_4_74 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5226) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5230) all_4_72 = n2
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n2, n10,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (5228) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5231) all_4_77 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5229), (5231) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5232) sum(n1, n1) = all_4_99
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5220), (5230) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5233) sum(n0, n2) = all_4_98
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n2, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (5233) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5234) all_4_98 = n2
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (5232) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5235) all_4_99 = n2
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (186), (189), (193), (194), (195), (197), (200),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (220), (224), (225), (226),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (3263), (5232),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5234), (5235) are inconsistent by sub-proof #203.
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5236) all_4_100 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (5236) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5237) pred(n0) = all_4_76
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (5236) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5238) succ(n0) = all_4_78
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (5238) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5239) all_4_78 = n1
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (5237) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5240) all_4_76 = n10
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (5239), (5240) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5241) sum(n10, n1) = all_4_72
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5216), (5240) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5242) sum(n10, n1) = all_4_74
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5218), (5239) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5243) sum(n10, n1) = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n1, n10,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5242) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5244) all_4_74 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n1,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (5241), (5242) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5245) all_4_72 = all_4_74
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n1,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (5241), (5243) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5246) all_4_72 = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5245), (5246) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5247) all_4_74 = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5247) implies:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5248) all_4_74 = all_4_77
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5244), (5248) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5249) all_4_77 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5246), (5249) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5250) all_4_72 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5244), (5249) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5251) sum(n0, n0) = all_4_99
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5220), (5250) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5252) sum(n0, n0) = all_4_98
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n0, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (5252) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5253) all_4_98 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n0, n0,
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5251), (5252) gives:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5254) all_4_98 = all_4_99
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5253), (5254) imply:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5255) all_4_99 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5255) implies:
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5256) all_4_99 = n0
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (181), (182), (183), (184), (185),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (186), (187), (200), (201), (202), (203), (204),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (247), (248), (3263), (5251),
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | | (5253), (5256) are inconsistent by sub-proof #201.
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | | |
% 256.30/64.90 | | | | | | | | | End of split
% 256.30/64.90 | | | | | | | | |
% 256.30/64.90 | | | | | | | | End of split
% 256.30/64.90 | | | | | | | |
% 256.30/64.90 | | | | | | | End of split
% 256.30/64.90 | | | | | | |
% 256.30/64.90 | | | | | | End of split
% 256.30/64.90 | | | | | |
% 256.30/64.90 | | | | | End of split
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | End of split
% 256.30/64.90 | | | |
% 256.30/64.90 | | | End of split
% 256.30/64.90 | | |
% 256.30/64.90 | | Case 2:
% 256.30/64.90 | | |
% 256.30/64.90 | | | (5257) ~ (all_4_82 = all_4_83) | ~ (all_4_84 = all_4_85) | ~
% 256.30/64.90 | | | (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90
% 256.30/64.90 | | | = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 256.30/64.90 | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 256.30/64.90 | | | all_4_99)
% 256.30/64.90 | | |
% 256.30/64.90 | | | BETA: splitting (250) gives:
% 256.30/64.90 | | |
% 256.30/64.90 | | | Case 1:
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | (5258) all_4_100 = n10
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | REDUCE: (230), (5258) imply:
% 256.30/64.90 | | | | (5259) pred(n10) = all_4_76
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | REDUCE: (199), (5258) imply:
% 256.30/64.90 | | | | (5260) succ(n10) = all_4_78
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | GROUND_INST: instantiating (2) with n0, all_4_78, n10, simplifying with
% 256.30/64.90 | | | | (197), (5260) gives:
% 256.30/64.90 | | | | (5261) all_4_78 = n0
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | GROUND_INST: instantiating (3) with n9, all_4_76, n10, simplifying with
% 256.30/64.90 | | | | (228), (5259) gives:
% 256.30/64.90 | | | | (5262) all_4_76 = n9
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | REDUCE: (131), (5262) imply:
% 256.30/64.90 | | | | (5263) sum(n9, all_4_75) = all_4_74
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | REDUCE: (130), (5261), (5262) imply:
% 256.30/64.90 | | | | (5264) sum(n9, n0) = all_4_72
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | REDUCE: (127), (5261) imply:
% 256.30/64.90 | | | | (5265) sum(all_4_79, n0) = all_4_77
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | GROUND_INST: instantiating (4) with n9, all_4_72, n0, n9, simplifying
% 256.30/64.90 | | | | with (105), (5264) gives:
% 256.30/64.90 | | | | (5266) all_4_72 = n9
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | REDUCE: (132), (5266) imply:
% 256.30/64.90 | | | | (5267) sum(all_4_73, n9) = all_4_98
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | BETA: splitting (3262) gives:
% 256.30/64.90 | | | |
% 256.30/64.90 | | | | Case 1:
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | (5268) all_4_101 = n9
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | REDUCE: (229), (5268) imply:
% 256.30/64.90 | | | | | (5269) pred(n9) = all_4_79
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | REDUCE: (198), (5268) imply:
% 256.30/64.90 | | | | | (5270) succ(n9) = all_4_75
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | GROUND_INST: instantiating (2) with n10, all_4_75, n9, simplifying
% 256.30/64.90 | | | | | with (196), (5270) gives:
% 256.30/64.90 | | | | | (5271) all_4_75 = n10
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | GROUND_INST: instantiating (3) with n8, all_4_79, n9, simplifying with
% 256.30/64.90 | | | | | (227), (5269) gives:
% 256.30/64.90 | | | | | (5272) all_4_79 = n8
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | REDUCE: (128), (5271), (5272) imply:
% 256.30/64.90 | | | | | (5273) sum(n8, n10) = all_4_73
% 256.30/64.90 | | | | |
% 256.30/64.90 | | | | | REDUCE: (5265), (5272) imply:
% 256.30/64.91 | | | | | (5274) sum(n8, n0) = all_4_77
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (5263), (5271) imply:
% 256.30/64.91 | | | | | (5275) sum(n9, n10) = all_4_74
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n0, n8, simplifying
% 256.30/64.91 | | | | | with (94), (5274) gives:
% 256.30/64.91 | | | | | (5276) all_4_77 = n8
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n7, all_4_73, n10, n8, simplifying
% 256.30/64.91 | | | | | with (104), (5273) gives:
% 256.30/64.91 | | | | | (5277) all_4_73 = n7
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n10, n9, simplifying
% 256.30/64.91 | | | | | with (115), (5275) gives:
% 256.30/64.91 | | | | | (5278) all_4_74 = n8
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (5267), (5277) imply:
% 256.30/64.91 | | | | | (5279) sum(n7, n9) = all_4_98
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (129), (5276), (5278) imply:
% 256.30/64.91 | | | | | (5280) sum(n8, n8) = all_4_99
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n9, n7, simplifying
% 256.30/64.91 | | | | | with (92), (5279) gives:
% 256.30/64.91 | | | | | (5281) all_4_98 = n5
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8, simplifying
% 256.30/64.91 | | | | | with (102), (5280) gives:
% 256.30/64.91 | | | | | (5282) all_4_99 = n5
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (232), (5281) imply:
% 256.30/64.91 | | | | | (5283) pred(n5) = all_4_68
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (231), (5282) imply:
% 256.30/64.91 | | | | | (5284) pred(n5) = all_4_71
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (201), (5281) imply:
% 256.30/64.91 | | | | | (5285) succ(n5) = all_4_70
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (200), (5282) imply:
% 256.30/64.91 | | | | | (5286) succ(n5) = all_4_67
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with n6, all_4_67, n5, simplifying with
% 256.30/64.91 | | | | | (192), (5286) gives:
% 256.30/64.91 | | | | | (5287) all_4_67 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n5,
% 256.30/64.91 | | | | | simplifying with (5285), (5286) gives:
% 256.30/64.91 | | | | | (5288) all_4_67 = all_4_70
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with n4, all_4_68, n5, simplifying with
% 256.30/64.91 | | | | | (223), (5283) gives:
% 256.30/64.91 | | | | | (5289) all_4_68 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n5,
% 256.30/64.91 | | | | | simplifying with (5283), (5284) gives:
% 256.30/64.91 | | | | | (5290) all_4_68 = all_4_71
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5287), (5288) imply:
% 256.30/64.91 | | | | | (5291) all_4_70 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5291) implies:
% 256.30/64.91 | | | | | (5292) all_4_70 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5289), (5290) imply:
% 256.30/64.91 | | | | | (5293) all_4_71 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (137), (5287), (5289) imply:
% 256.30/64.91 | | | | | (5294) sum(n4, n6) = all_4_66
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (136), (5289), (5292) imply:
% 256.30/64.91 | | | | | (5295) sum(n4, n6) = all_4_64
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (134), (5287), (5293) imply:
% 256.30/64.91 | | | | | (5296) sum(n4, n6) = all_4_65
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (133), (5292), (5293) imply:
% 256.30/64.91 | | | | | (5297) sum(n4, n6) = all_4_69
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n10, all_4_65, n6, n4, simplifying
% 256.30/64.91 | | | | | with (56), (5296) gives:
% 256.30/64.91 | | | | | (5298) all_4_65 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n6, n4,
% 256.30/64.91 | | | | | simplifying with (5294), (5296) gives:
% 256.30/64.91 | | | | | (5299) all_4_65 = all_4_66
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n6, n4,
% 256.30/64.91 | | | | | simplifying with (5294), (5295) gives:
% 256.30/64.91 | | | | | (5300) all_4_64 = all_4_66
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n6, n4,
% 256.30/64.91 | | | | | simplifying with (5295), (5297) gives:
% 256.30/64.91 | | | | | (5301) all_4_64 = all_4_69
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5300), (5301) imply:
% 256.30/64.91 | | | | | (5302) all_4_66 = all_4_69
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5302) implies:
% 256.30/64.91 | | | | | (5303) all_4_66 = all_4_69
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5298), (5299) imply:
% 256.30/64.91 | | | | | (5304) all_4_66 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5304) implies:
% 256.30/64.91 | | | | | (5305) all_4_66 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5303), (5305) imply:
% 256.30/64.91 | | | | | (5306) all_4_69 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5301), (5306) imply:
% 256.30/64.91 | | | | | (5307) all_4_64 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (138), (5298), (5307) imply:
% 256.30/64.91 | | | | | (5308) sum(n10, n10) = all_4_96
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (135), (5305), (5306) imply:
% 256.30/64.91 | | | | | (5309) sum(n10, n10) = all_4_97
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n9, all_4_96, n10, n10,
% 256.30/64.91 | | | | | simplifying with (126), (5308) gives:
% 256.30/64.91 | | | | | (5310) all_4_96 = n9
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n10, n10,
% 256.30/64.91 | | | | | simplifying with (5308), (5309) gives:
% 256.30/64.91 | | | | | (5311) all_4_96 = all_4_97
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5310), (5311) imply:
% 256.30/64.91 | | | | | (5312) all_4_97 = n9
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (234), (5310) imply:
% 256.30/64.91 | | | | | (5313) pred(n9) = all_4_60
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (233), (5312) imply:
% 256.30/64.91 | | | | | (5314) pred(n9) = all_4_63
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (203), (5310) imply:
% 256.30/64.91 | | | | | (5315) succ(n9) = all_4_62
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (202), (5312) imply:
% 256.30/64.91 | | | | | (5316) succ(n9) = all_4_59
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with n10, all_4_59, n9, simplifying
% 256.30/64.91 | | | | | with (196), (5316) gives:
% 256.30/64.91 | | | | | (5317) all_4_59 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n9,
% 256.30/64.91 | | | | | simplifying with (5315), (5316) gives:
% 256.30/64.91 | | | | | (5318) all_4_59 = all_4_62
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with n8, all_4_60, n9, simplifying with
% 256.30/64.91 | | | | | (227), (5313) gives:
% 256.30/64.91 | | | | | (5319) all_4_60 = n8
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n9,
% 256.30/64.91 | | | | | simplifying with (5313), (5314) gives:
% 256.30/64.91 | | | | | (5320) all_4_60 = all_4_63
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5317), (5318) imply:
% 256.30/64.91 | | | | | (5321) all_4_62 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5321) implies:
% 256.30/64.91 | | | | | (5322) all_4_62 = n10
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5319), (5320) imply:
% 256.30/64.91 | | | | | (5323) all_4_63 = n8
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (143), (5317), (5319) imply:
% 256.30/64.91 | | | | | (5324) sum(n8, n10) = all_4_58
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (142), (5319), (5322) imply:
% 256.30/64.91 | | | | | (5325) sum(n8, n10) = all_4_56
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (140), (5317), (5323) imply:
% 256.30/64.91 | | | | | (5326) sum(n8, n10) = all_4_57
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (139), (5322), (5323) imply:
% 256.30/64.91 | | | | | (5327) sum(n8, n10) = all_4_61
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n7, all_4_58, n10, n8, simplifying
% 256.30/64.91 | | | | | with (104), (5324) gives:
% 256.30/64.91 | | | | | (5328) all_4_58 = n7
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n10, n8,
% 256.30/64.91 | | | | | simplifying with (5324), (5326) gives:
% 256.30/64.91 | | | | | (5329) all_4_57 = all_4_58
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n10, n8,
% 256.30/64.91 | | | | | simplifying with (5325), (5326) gives:
% 256.30/64.91 | | | | | (5330) all_4_56 = all_4_57
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n10, n8,
% 256.30/64.91 | | | | | simplifying with (5325), (5327) gives:
% 256.30/64.91 | | | | | (5331) all_4_56 = all_4_61
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5330), (5331) imply:
% 256.30/64.91 | | | | | (5332) all_4_57 = all_4_61
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5332) implies:
% 256.30/64.91 | | | | | (5333) all_4_57 = all_4_61
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5329), (5333) imply:
% 256.30/64.91 | | | | | (5334) all_4_58 = all_4_61
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5334) implies:
% 256.30/64.91 | | | | | (5335) all_4_58 = all_4_61
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5328), (5335) imply:
% 256.30/64.91 | | | | | (5336) all_4_61 = n7
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5333), (5336) imply:
% 256.30/64.91 | | | | | (5337) all_4_57 = n7
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5331), (5336) imply:
% 256.30/64.91 | | | | | (5338) all_4_56 = n7
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (144), (5337), (5338) imply:
% 256.30/64.91 | | | | | (5339) sum(n7, n7) = all_4_94
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (141), (5328), (5336) imply:
% 256.30/64.91 | | | | | (5340) sum(n7, n7) = all_4_95
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n3, all_4_94, n7, n7, simplifying
% 256.30/64.91 | | | | | with (90), (5339) gives:
% 256.30/64.91 | | | | | (5341) all_4_94 = n3
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n7, n7,
% 256.30/64.91 | | | | | simplifying with (5339), (5340) gives:
% 256.30/64.91 | | | | | (5342) all_4_94 = all_4_95
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5341), (5342) imply:
% 256.30/64.91 | | | | | (5343) all_4_95 = n3
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (236), (5341) imply:
% 256.30/64.91 | | | | | (5344) pred(n3) = all_4_52
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (235), (5343) imply:
% 256.30/64.91 | | | | | (5345) pred(n3) = all_4_55
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (205), (5341) imply:
% 256.30/64.91 | | | | | (5346) succ(n3) = all_4_54
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (204), (5343) imply:
% 256.30/64.91 | | | | | (5347) succ(n3) = all_4_51
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with n4, all_4_51, n3, simplifying with
% 256.30/64.91 | | | | | (190), (5347) gives:
% 256.30/64.91 | | | | | (5348) all_4_51 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n3,
% 256.30/64.91 | | | | | simplifying with (5346), (5347) gives:
% 256.30/64.91 | | | | | (5349) all_4_51 = all_4_54
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with n2, all_4_52, n3, simplifying with
% 256.30/64.91 | | | | | (221), (5344) gives:
% 256.30/64.91 | | | | | (5350) all_4_52 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n3,
% 256.30/64.91 | | | | | simplifying with (5344), (5345) gives:
% 256.30/64.91 | | | | | (5351) all_4_52 = all_4_55
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5348), (5349) imply:
% 256.30/64.91 | | | | | (5352) all_4_54 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5352) implies:
% 256.30/64.91 | | | | | (5353) all_4_54 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5350), (5351) imply:
% 256.30/64.91 | | | | | (5354) all_4_55 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (149), (5348), (5350) imply:
% 256.30/64.91 | | | | | (5355) sum(n2, n4) = all_4_50
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (148), (5350), (5353) imply:
% 256.30/64.91 | | | | | (5356) sum(n2, n4) = all_4_48
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (146), (5348), (5354) imply:
% 256.30/64.91 | | | | | (5357) sum(n2, n4) = all_4_49
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (145), (5353), (5354) imply:
% 256.30/64.91 | | | | | (5358) sum(n2, n4) = all_4_53
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n6, all_4_50, n4, n2, simplifying
% 256.30/64.91 | | | | | with (32), (5355) gives:
% 256.30/64.91 | | | | | (5359) all_4_50 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n4, n2,
% 256.30/64.91 | | | | | simplifying with (5355), (5357) gives:
% 256.30/64.91 | | | | | (5360) all_4_49 = all_4_50
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n4, n2,
% 256.30/64.91 | | | | | simplifying with (5356), (5357) gives:
% 256.30/64.91 | | | | | (5361) all_4_48 = all_4_49
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n4, n2,
% 256.30/64.91 | | | | | simplifying with (5356), (5358) gives:
% 256.30/64.91 | | | | | (5362) all_4_48 = all_4_53
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5361), (5362) imply:
% 256.30/64.91 | | | | | (5363) all_4_49 = all_4_53
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5363) implies:
% 256.30/64.91 | | | | | (5364) all_4_49 = all_4_53
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5360), (5364) imply:
% 256.30/64.91 | | | | | (5365) all_4_50 = all_4_53
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5365) implies:
% 256.30/64.91 | | | | | (5366) all_4_50 = all_4_53
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5359), (5366) imply:
% 256.30/64.91 | | | | | (5367) all_4_53 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5364), (5367) imply:
% 256.30/64.91 | | | | | (5368) all_4_49 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5362), (5367) imply:
% 256.30/64.91 | | | | | (5369) all_4_48 = n6
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (150), (5368), (5369) imply:
% 256.30/64.91 | | | | | (5370) sum(n6, n6) = all_4_92
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (147), (5359), (5367) imply:
% 256.30/64.91 | | | | | (5371) sum(n6, n6) = all_4_93
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n1, all_4_92, n6, n6, simplifying
% 256.30/64.91 | | | | | with (78), (5370) gives:
% 256.30/64.91 | | | | | (5372) all_4_92 = n1
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n6, n6,
% 256.30/64.91 | | | | | simplifying with (5370), (5371) gives:
% 256.30/64.91 | | | | | (5373) all_4_92 = all_4_93
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5372), (5373) imply:
% 256.30/64.91 | | | | | (5374) all_4_93 = n1
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5374) implies:
% 256.30/64.91 | | | | | (5375) all_4_93 = n1
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (238), (5372) imply:
% 256.30/64.91 | | | | | (5376) pred(n1) = all_4_44
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (237), (5375) imply:
% 256.30/64.91 | | | | | (5377) pred(n1) = all_4_47
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (207), (5372) imply:
% 256.30/64.91 | | | | | (5378) succ(n1) = all_4_46
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (206), (5375) imply:
% 256.30/64.91 | | | | | (5379) succ(n1) = all_4_43
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with n2, all_4_43, n1, simplifying with
% 256.30/64.91 | | | | | (188), (5379) gives:
% 256.30/64.91 | | | | | (5380) all_4_43 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n1,
% 256.30/64.91 | | | | | simplifying with (5378), (5379) gives:
% 256.30/64.91 | | | | | (5381) all_4_43 = all_4_46
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with n0, all_4_44, n1, simplifying with
% 256.30/64.91 | | | | | (219), (5376) gives:
% 256.30/64.91 | | | | | (5382) all_4_44 = n0
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n1,
% 256.30/64.91 | | | | | simplifying with (5376), (5377) gives:
% 256.30/64.91 | | | | | (5383) all_4_44 = all_4_47
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5380), (5381) imply:
% 256.30/64.91 | | | | | (5384) all_4_46 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5384) implies:
% 256.30/64.91 | | | | | (5385) all_4_46 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5382), (5383) imply:
% 256.30/64.91 | | | | | (5386) all_4_47 = n0
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (155), (5380), (5382) imply:
% 256.30/64.91 | | | | | (5387) sum(n0, n2) = all_4_42
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (154), (5382), (5385) imply:
% 256.30/64.91 | | | | | (5388) sum(n0, n2) = all_4_40
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (152), (5380), (5386) imply:
% 256.30/64.91 | | | | | (5389) sum(n0, n2) = all_4_41
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (151), (5385), (5386) imply:
% 256.30/64.91 | | | | | (5390) sum(n0, n2) = all_4_45
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n2, all_4_42, n2, n0, simplifying
% 256.30/64.91 | | | | | with (8), (5387) gives:
% 256.30/64.91 | | | | | (5391) all_4_42 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n2, n0,
% 256.30/64.91 | | | | | simplifying with (5387), (5389) gives:
% 256.30/64.91 | | | | | (5392) all_4_41 = all_4_42
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n2, n0,
% 256.30/64.91 | | | | | simplifying with (5388), (5389) gives:
% 256.30/64.91 | | | | | (5393) all_4_40 = all_4_41
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n2, n0,
% 256.30/64.91 | | | | | simplifying with (5388), (5390) gives:
% 256.30/64.91 | | | | | (5394) all_4_40 = all_4_45
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5393), (5394) imply:
% 256.30/64.91 | | | | | (5395) all_4_41 = all_4_45
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5395) implies:
% 256.30/64.91 | | | | | (5396) all_4_41 = all_4_45
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5392), (5396) imply:
% 256.30/64.91 | | | | | (5397) all_4_42 = all_4_45
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | SIMP: (5397) implies:
% 256.30/64.91 | | | | | (5398) all_4_42 = all_4_45
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5391), (5398) imply:
% 256.30/64.91 | | | | | (5399) all_4_45 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5396), (5399) imply:
% 256.30/64.91 | | | | | (5400) all_4_41 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5394), (5399) imply:
% 256.30/64.91 | | | | | (5401) all_4_40 = n2
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (156), (5400), (5401) imply:
% 256.30/64.91 | | | | | (5402) sum(n2, n2) = all_4_90
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (153), (5391), (5399) imply:
% 256.30/64.91 | | | | | (5403) sum(n2, n2) = all_4_91
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with n4, all_4_90, n2, n2, simplifying
% 256.30/64.91 | | | | | with (30), (5402) gives:
% 256.30/64.91 | | | | | (5404) all_4_90 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n2, n2,
% 256.30/64.91 | | | | | simplifying with (5402), (5403) gives:
% 256.30/64.91 | | | | | (5405) all_4_90 = all_4_91
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | COMBINE_EQS: (5404), (5405) imply:
% 256.30/64.91 | | | | | (5406) all_4_91 = n4
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (240), (5404) imply:
% 256.30/64.91 | | | | | (5407) pred(n4) = all_4_36
% 256.30/64.91 | | | | |
% 256.30/64.91 | | | | | REDUCE: (239), (5406) imply:
% 256.30/64.91 | | | | | (5408) pred(n4) = all_4_39
% 256.30/64.91 | | | | |
% 256.30/64.92 | | | | | REDUCE: (209), (5404) imply:
% 256.30/64.92 | | | | | (5409) succ(n4) = all_4_38
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (208), (5406) imply:
% 256.30/64.92 | | | | | (5410) succ(n4) = all_4_35
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (2) with n5, all_4_35, n4, simplifying with
% 256.30/64.92 | | | | | (191), (5410) gives:
% 256.30/64.92 | | | | | (5411) all_4_35 = n5
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n4,
% 256.30/64.92 | | | | | simplifying with (5409), (5410) gives:
% 256.30/64.92 | | | | | (5412) all_4_35 = all_4_38
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (3) with n3, all_4_36, n4, simplifying with
% 256.30/64.92 | | | | | (222), (5407) gives:
% 256.30/64.92 | | | | | (5413) all_4_36 = n3
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n4,
% 256.30/64.92 | | | | | simplifying with (5407), (5408) gives:
% 256.30/64.92 | | | | | (5414) all_4_36 = all_4_39
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5411), (5412) imply:
% 256.30/64.92 | | | | | (5415) all_4_38 = n5
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5415) implies:
% 256.30/64.92 | | | | | (5416) all_4_38 = n5
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5413), (5414) imply:
% 256.30/64.92 | | | | | (5417) all_4_39 = n3
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (161), (5411), (5413) imply:
% 256.30/64.92 | | | | | (5418) sum(n3, n5) = all_4_34
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (160), (5413), (5416) imply:
% 256.30/64.92 | | | | | (5419) sum(n3, n5) = all_4_32
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (158), (5411), (5417) imply:
% 256.30/64.92 | | | | | (5420) sum(n3, n5) = all_4_33
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (157), (5416), (5417) imply:
% 256.30/64.92 | | | | | (5421) sum(n3, n5) = all_4_37
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with n8, all_4_34, n5, n3, simplifying
% 256.30/64.92 | | | | | with (44), (5418) gives:
% 256.30/64.92 | | | | | (5422) all_4_34 = n8
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n5, n3,
% 256.30/64.92 | | | | | simplifying with (5418), (5420) gives:
% 256.30/64.92 | | | | | (5423) all_4_33 = all_4_34
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n5, n3,
% 256.30/64.92 | | | | | simplifying with (5419), (5420) gives:
% 256.30/64.92 | | | | | (5424) all_4_32 = all_4_33
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n5, n3,
% 256.30/64.92 | | | | | simplifying with (5419), (5421) gives:
% 256.30/64.92 | | | | | (5425) all_4_32 = all_4_37
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5424), (5425) imply:
% 256.30/64.92 | | | | | (5426) all_4_33 = all_4_37
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5426) implies:
% 256.30/64.92 | | | | | (5427) all_4_33 = all_4_37
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5423), (5427) imply:
% 256.30/64.92 | | | | | (5428) all_4_34 = all_4_37
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5428) implies:
% 256.30/64.92 | | | | | (5429) all_4_34 = all_4_37
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5422), (5429) imply:
% 256.30/64.92 | | | | | (5430) all_4_37 = n8
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5427), (5430) imply:
% 256.30/64.92 | | | | | (5431) all_4_33 = n8
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5425), (5430) imply:
% 256.30/64.92 | | | | | (5432) all_4_32 = n8
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (162), (5431), (5432) imply:
% 256.30/64.92 | | | | | (5433) sum(n8, n8) = all_4_88
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (159), (5422), (5430) imply:
% 256.30/64.92 | | | | | (5434) sum(n8, n8) = all_4_89
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with n5, all_4_88, n8, n8, simplifying
% 256.30/64.92 | | | | | with (102), (5433) gives:
% 256.30/64.92 | | | | | (5435) all_4_88 = n5
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n8, n8,
% 256.30/64.92 | | | | | simplifying with (5433), (5434) gives:
% 256.30/64.92 | | | | | (5436) all_4_88 = all_4_89
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5435), (5436) imply:
% 256.30/64.92 | | | | | (5437) all_4_89 = n5
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (242), (5435) imply:
% 256.30/64.92 | | | | | (5438) pred(n5) = all_4_28
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (241), (5437) imply:
% 256.30/64.92 | | | | | (5439) pred(n5) = all_4_31
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (211), (5435) imply:
% 256.30/64.92 | | | | | (5440) succ(n5) = all_4_30
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (210), (5437) imply:
% 256.30/64.92 | | | | | (5441) succ(n5) = all_4_27
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (2) with n6, all_4_27, n5, simplifying with
% 256.30/64.92 | | | | | (192), (5441) gives:
% 256.30/64.92 | | | | | (5442) all_4_27 = n6
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n5,
% 256.30/64.92 | | | | | simplifying with (5440), (5441) gives:
% 256.30/64.92 | | | | | (5443) all_4_27 = all_4_30
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (3) with n4, all_4_28, n5, simplifying with
% 256.30/64.92 | | | | | (223), (5438) gives:
% 256.30/64.92 | | | | | (5444) all_4_28 = n4
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n5,
% 256.30/64.92 | | | | | simplifying with (5438), (5439) gives:
% 256.30/64.92 | | | | | (5445) all_4_28 = all_4_31
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5442), (5443) imply:
% 256.30/64.92 | | | | | (5446) all_4_30 = n6
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5446) implies:
% 256.30/64.92 | | | | | (5447) all_4_30 = n6
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5444), (5445) imply:
% 256.30/64.92 | | | | | (5448) all_4_31 = n4
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (167), (5442), (5444) imply:
% 256.30/64.92 | | | | | (5449) sum(n4, n6) = all_4_26
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (166), (5444), (5447) imply:
% 256.30/64.92 | | | | | (5450) sum(n4, n6) = all_4_24
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (164), (5442), (5448) imply:
% 256.30/64.92 | | | | | (5451) sum(n4, n6) = all_4_25
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (163), (5447), (5448) imply:
% 256.30/64.92 | | | | | (5452) sum(n4, n6) = all_4_29
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with n10, all_4_26, n6, n4, simplifying
% 256.30/64.92 | | | | | with (56), (5449) gives:
% 256.30/64.92 | | | | | (5453) all_4_26 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n6, n4,
% 256.30/64.92 | | | | | simplifying with (5449), (5451) gives:
% 256.30/64.92 | | | | | (5454) all_4_25 = all_4_26
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n6, n4,
% 256.30/64.92 | | | | | simplifying with (5450), (5451) gives:
% 256.30/64.92 | | | | | (5455) all_4_24 = all_4_25
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n6, n4,
% 256.30/64.92 | | | | | simplifying with (5450), (5452) gives:
% 256.30/64.92 | | | | | (5456) all_4_24 = all_4_29
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5455), (5456) imply:
% 256.30/64.92 | | | | | (5457) all_4_25 = all_4_29
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5457) implies:
% 256.30/64.92 | | | | | (5458) all_4_25 = all_4_29
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5454), (5458) imply:
% 256.30/64.92 | | | | | (5459) all_4_26 = all_4_29
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5459) implies:
% 256.30/64.92 | | | | | (5460) all_4_26 = all_4_29
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5453), (5460) imply:
% 256.30/64.92 | | | | | (5461) all_4_29 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5458), (5461) imply:
% 256.30/64.92 | | | | | (5462) all_4_25 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5456), (5461) imply:
% 256.30/64.92 | | | | | (5463) all_4_24 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (168), (5462), (5463) imply:
% 256.30/64.92 | | | | | (5464) sum(n10, n10) = all_4_86
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (165), (5453), (5461) imply:
% 256.30/64.92 | | | | | (5465) sum(n10, n10) = all_4_87
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with n9, all_4_86, n10, n10,
% 256.30/64.92 | | | | | simplifying with (126), (5464) gives:
% 256.30/64.92 | | | | | (5466) all_4_86 = n9
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n10, n10,
% 256.30/64.92 | | | | | simplifying with (5464), (5465) gives:
% 256.30/64.92 | | | | | (5467) all_4_86 = all_4_87
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5466), (5467) imply:
% 256.30/64.92 | | | | | (5468) all_4_87 = n9
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5468) implies:
% 256.30/64.92 | | | | | (5469) all_4_87 = n9
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (244), (5466) imply:
% 256.30/64.92 | | | | | (5470) pred(n9) = all_4_20
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (243), (5469) imply:
% 256.30/64.92 | | | | | (5471) pred(n9) = all_4_23
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (213), (5466) imply:
% 256.30/64.92 | | | | | (5472) succ(n9) = all_4_22
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (212), (5469) imply:
% 256.30/64.92 | | | | | (5473) succ(n9) = all_4_19
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (2) with n10, all_4_19, n9, simplifying
% 256.30/64.92 | | | | | with (196), (5473) gives:
% 256.30/64.92 | | | | | (5474) all_4_19 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (2) with all_4_22, all_4_19, n9,
% 256.30/64.92 | | | | | simplifying with (5472), (5473) gives:
% 256.30/64.92 | | | | | (5475) all_4_19 = all_4_22
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (3) with n8, all_4_20, n9, simplifying with
% 256.30/64.92 | | | | | (227), (5470) gives:
% 256.30/64.92 | | | | | (5476) all_4_20 = n8
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (3) with all_4_23, all_4_20, n9,
% 256.30/64.92 | | | | | simplifying with (5470), (5471) gives:
% 256.30/64.92 | | | | | (5477) all_4_20 = all_4_23
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5474), (5475) imply:
% 256.30/64.92 | | | | | (5478) all_4_22 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5478) implies:
% 256.30/64.92 | | | | | (5479) all_4_22 = n10
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5476), (5477) imply:
% 256.30/64.92 | | | | | (5480) all_4_23 = n8
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (173), (5474), (5476) imply:
% 256.30/64.92 | | | | | (5481) sum(n8, n10) = all_4_18
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (172), (5476), (5479) imply:
% 256.30/64.92 | | | | | (5482) sum(n8, n10) = all_4_16
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (170), (5474), (5480) imply:
% 256.30/64.92 | | | | | (5483) sum(n8, n10) = all_4_17
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (169), (5479), (5480) imply:
% 256.30/64.92 | | | | | (5484) sum(n8, n10) = all_4_21
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with n7, all_4_18, n10, n8, simplifying
% 256.30/64.92 | | | | | with (104), (5481) gives:
% 256.30/64.92 | | | | | (5485) all_4_18 = n7
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_18, all_4_17, n10, n8,
% 256.30/64.92 | | | | | simplifying with (5481), (5483) gives:
% 256.30/64.92 | | | | | (5486) all_4_17 = all_4_18
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_17, all_4_16, n10, n8,
% 256.30/64.92 | | | | | simplifying with (5482), (5483) gives:
% 256.30/64.92 | | | | | (5487) all_4_16 = all_4_17
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_21, all_4_16, n10, n8,
% 256.30/64.92 | | | | | simplifying with (5482), (5484) gives:
% 256.30/64.92 | | | | | (5488) all_4_16 = all_4_21
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5487), (5488) imply:
% 256.30/64.92 | | | | | (5489) all_4_17 = all_4_21
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5489) implies:
% 256.30/64.92 | | | | | (5490) all_4_17 = all_4_21
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5486), (5490) imply:
% 256.30/64.92 | | | | | (5491) all_4_18 = all_4_21
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5491) implies:
% 256.30/64.92 | | | | | (5492) all_4_18 = all_4_21
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5485), (5492) imply:
% 256.30/64.92 | | | | | (5493) all_4_21 = n7
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5490), (5493) imply:
% 256.30/64.92 | | | | | (5494) all_4_17 = n7
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5488), (5493) imply:
% 256.30/64.92 | | | | | (5495) all_4_16 = n7
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (174), (5494), (5495) imply:
% 256.30/64.92 | | | | | (5496) sum(n7, n7) = all_4_84
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (171), (5485), (5493) imply:
% 256.30/64.92 | | | | | (5497) sum(n7, n7) = all_4_85
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with n3, all_4_84, n7, n7, simplifying
% 256.30/64.92 | | | | | with (90), (5496) gives:
% 256.30/64.92 | | | | | (5498) all_4_84 = n3
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | GROUND_INST: instantiating (4) with all_4_85, all_4_84, n7, n7,
% 256.30/64.92 | | | | | simplifying with (5496), (5497) gives:
% 256.30/64.92 | | | | | (5499) all_4_84 = all_4_85
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | COMBINE_EQS: (5498), (5499) imply:
% 256.30/64.92 | | | | | (5500) all_4_85 = n3
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | SIMP: (5500) implies:
% 256.30/64.92 | | | | | (5501) all_4_85 = n3
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (246), (5498) imply:
% 256.30/64.92 | | | | | (5502) pred(n3) = all_4_12
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (245), (5501) imply:
% 256.30/64.92 | | | | | (5503) pred(n3) = all_4_15
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (215), (5498) imply:
% 256.30/64.92 | | | | | (5504) succ(n3) = all_4_14
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | REDUCE: (214), (5501) imply:
% 256.30/64.92 | | | | | (5505) succ(n3) = all_4_11
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | BETA: splitting (5257) gives:
% 256.30/64.92 | | | | |
% 256.30/64.92 | | | | | Case 1:
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | | (5506) ~ (all_4_82 = all_4_83)
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | | GROUND_INST: instantiating (2) with n4, all_4_11, n3, simplifying
% 256.30/64.92 | | | | | | with (190), (5505) gives:
% 256.30/64.92 | | | | | | (5507) all_4_11 = n4
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (175), (176), (177), (178),
% 256.30/64.92 | | | | | | (179), (180), (221), (5502), (5503), (5504), (5505),
% 256.30/64.92 | | | | | | (5506), (5507) are inconsistent by sub-proof #191.
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | Case 2:
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | | (5508) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~
% 256.30/64.92 | | | | | | (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~
% 256.30/64.92 | | | | | | (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 256.30/64.92 | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | | BETA: splitting (5508) gives:
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | | Case 1:
% 256.30/64.92 | | | | | | |
% 256.30/64.92 | | | | | | | (5509) ~ (all_4_84 = all_4_85)
% 256.30/64.92 | | | | | | |
% 256.30/64.92 | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (169), (170), (171), (172),
% 256.30/64.92 | | | | | | | (173), (174), (227), (5470), (5471), (5472), (5473),
% 256.30/64.92 | | | | | | | (5474), (5509) are inconsistent by sub-proof #180.
% 256.30/64.92 | | | | | | |
% 256.30/64.92 | | | | | | Case 2:
% 256.30/64.92 | | | | | | |
% 256.30/64.92 | | | | | | | (5510) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~
% 256.30/64.92 | | | | | | | (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 256.30/64.92 | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 256.30/64.92 | | | | | | | (all_4_98 = all_4_99)
% 256.30/64.92 | | | | | | |
% 256.30/64.92 | | | | | | | REF_CLOSE: (5281), (5282), (5310), (5312), (5341), (5343), (5372),
% 256.30/64.92 | | | | | | | (5375), (5404), (5406), (5435), (5437), (5466), (5469),
% 256.30/64.92 | | | | | | | (5510) are inconsistent by sub-proof #174.
% 256.30/64.92 | | | | | | |
% 256.30/64.92 | | | | | | End of split
% 256.30/64.92 | | | | | |
% 256.30/64.92 | | | | | End of split
% 256.30/64.92 | | | | |
% 256.60/64.92 | | | | Case 2:
% 256.60/64.92 | | | | |
% 256.60/64.92 | | | | | (5511) all_4_101 = n8 | all_4_101 = n7 | all_4_101 = n6 | all_4_101
% 256.60/64.92 | | | | | = n5 | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.60/64.92 | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.92 | | | | |
% 256.60/64.92 | | | | | BETA: splitting (5257) gives:
% 256.60/64.92 | | | | |
% 256.60/64.92 | | | | | Case 1:
% 256.60/64.92 | | | | | |
% 256.60/64.92 | | | | | | (5512) ~ (all_4_82 = all_4_83)
% 256.60/64.92 | | | | | |
% 256.60/64.92 | | | | | | BETA: splitting (5511) gives:
% 256.60/64.92 | | | | | |
% 256.60/64.92 | | | | | | Case 1:
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | (5513) all_4_101 = n8
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | REDUCE: (229), (5513) imply:
% 256.60/64.92 | | | | | | | (5514) pred(n8) = all_4_79
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | REDUCE: (198), (5513) imply:
% 256.60/64.92 | | | | | | | (5515) succ(n8) = all_4_75
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8, simplifying
% 256.60/64.92 | | | | | | | with (195), (5515) gives:
% 256.60/64.92 | | | | | | | (5516) all_4_75 = n9
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8, simplifying
% 256.60/64.92 | | | | | | | with (226), (5514) gives:
% 256.60/64.92 | | | | | | | (5517) all_4_79 = n7
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | REDUCE: (128), (5516), (5517) imply:
% 256.60/64.92 | | | | | | | (5518) sum(n7, n9) = all_4_73
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | REDUCE: (5265), (5517) imply:
% 256.60/64.92 | | | | | | | (5519) sum(n7, n0) = all_4_77
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | REDUCE: (5263), (5516) imply:
% 256.60/64.92 | | | | | | | (5520) sum(n9, n9) = all_4_74
% 256.60/64.92 | | | | | | |
% 256.60/64.92 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n0, n7,
% 256.60/64.92 | | | | | | | simplifying with (83), (5519) gives:
% 256.60/64.93 | | | | | | | (5521) all_4_77 = n7
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 256.60/64.93 | | | | | | | simplifying with (92), (5518) gives:
% 256.60/64.93 | | | | | | | (5522) all_4_73 = n5
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n9, n9,
% 256.60/64.93 | | | | | | | simplifying with (114), (5520) gives:
% 256.60/64.93 | | | | | | | (5523) all_4_74 = n7
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | REDUCE: (5267), (5522) imply:
% 256.60/64.93 | | | | | | | (5524) sum(n5, n9) = all_4_98
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | REDUCE: (129), (5521), (5523) imply:
% 256.60/64.93 | | | | | | | (5525) sum(n7, n7) = all_4_99
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n9, n5,
% 256.60/64.93 | | | | | | | simplifying with (70), (5524) gives:
% 256.60/64.93 | | | | | | | (5526) all_4_98 = n3
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 256.60/64.93 | | | | | | | simplifying with (90), (5525) gives:
% 256.60/64.93 | | | | | | | (5527) all_4_99 = n3
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.60/64.93 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 256.60/64.93 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 256.60/64.93 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 256.60/64.93 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 256.60/64.93 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 256.60/64.93 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 256.60/64.93 | | | | | | | (178), (179), (180), (188), (190), (191), (192), (196),
% 256.60/64.93 | | | | | | | (200), (201), (202), (203), (204), (205), (206), (207),
% 256.60/64.93 | | | | | | | (208), (209), (210), (211), (212), (213), (214), (215),
% 256.60/64.93 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 256.60/64.93 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 256.60/64.93 | | | | | | | (242), (243), (244), (245), (246), (5512), (5525),
% 256.60/64.93 | | | | | | | (5526), (5527) are inconsistent by sub-proof #190.
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | Case 2:
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | (5528) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 256.60/64.93 | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.60/64.93 | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | BETA: splitting (5528) gives:
% 256.60/64.93 | | | | | | |
% 256.60/64.93 | | | | | | | Case 1:
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | (5529) all_4_101 = n7
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (229), (5529) imply:
% 256.60/64.93 | | | | | | | | (5530) pred(n7) = all_4_79
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (198), (5529) imply:
% 256.60/64.93 | | | | | | | | (5531) succ(n7) = all_4_75
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 256.60/64.93 | | | | | | | | simplifying with (194), (5531) gives:
% 256.60/64.93 | | | | | | | | (5532) all_4_75 = n8
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 256.60/64.93 | | | | | | | | simplifying with (225), (5530) gives:
% 256.60/64.93 | | | | | | | | (5533) all_4_79 = n6
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (128), (5532), (5533) imply:
% 256.60/64.93 | | | | | | | | (5534) sum(n6, n8) = all_4_73
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (5265), (5533) imply:
% 256.60/64.93 | | | | | | | | (5535) sum(n6, n0) = all_4_77
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (5263), (5532) imply:
% 256.60/64.93 | | | | | | | | (5536) sum(n9, n8) = all_4_74
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n0, n6,
% 256.60/64.93 | | | | | | | | simplifying with (72), (5535) gives:
% 256.60/64.93 | | | | | | | | (5537) all_4_77 = n6
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 256.60/64.93 | | | | | | | | simplifying with (80), (5534) gives:
% 256.60/64.93 | | | | | | | | (5538) all_4_73 = n3
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n8, n9,
% 256.60/64.93 | | | | | | | | simplifying with (113), (5536) gives:
% 256.60/64.93 | | | | | | | | (5539) all_4_74 = n6
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (5267), (5538) imply:
% 256.60/64.93 | | | | | | | | (5540) sum(n3, n9) = all_4_98
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REDUCE: (129), (5537), (5539) imply:
% 256.60/64.93 | | | | | | | | (5541) sum(n6, n6) = all_4_99
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n9, n3,
% 256.60/64.93 | | | | | | | | simplifying with (48), (5540) gives:
% 256.60/64.93 | | | | | | | | (5542) all_4_98 = n1
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 256.60/64.93 | | | | | | | | simplifying with (78), (5541) gives:
% 256.60/64.93 | | | | | | | | (5543) all_4_99 = n1
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 256.60/64.93 | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.60/64.93 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.93 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.93 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.93 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.93 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.93 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.93 | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 256.60/64.93 | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.93 | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.93 | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 256.60/64.93 | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.93 | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.93 | | | | | | | | (245), (246), (5512), (5541), (5542), (5543) are
% 256.60/64.93 | | | | | | | | inconsistent by sub-proof #189.
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | Case 2:
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | (5544) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 256.60/64.93 | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.60/64.93 | | | | | | | | all_4_101 = n0
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | BETA: splitting (5544) gives:
% 256.60/64.93 | | | | | | | |
% 256.60/64.93 | | | | | | | | Case 1:
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | (5545) all_4_101 = n6
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (229), (5545) imply:
% 256.60/64.93 | | | | | | | | | (5546) pred(n6) = all_4_79
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (198), (5545) imply:
% 256.60/64.93 | | | | | | | | | (5547) succ(n6) = all_4_75
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 256.60/64.93 | | | | | | | | | simplifying with (193), (5547) gives:
% 256.60/64.93 | | | | | | | | | (5548) all_4_75 = n7
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 256.60/64.93 | | | | | | | | | simplifying with (224), (5546) gives:
% 256.60/64.93 | | | | | | | | | (5549) all_4_79 = n5
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (128), (5548), (5549) imply:
% 256.60/64.93 | | | | | | | | | (5550) sum(n5, n7) = all_4_73
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (5265), (5549) imply:
% 256.60/64.93 | | | | | | | | | (5551) sum(n5, n0) = all_4_77
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (5263), (5548) imply:
% 256.60/64.93 | | | | | | | | | (5552) sum(n9, n7) = all_4_74
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n0, n5,
% 256.60/64.93 | | | | | | | | | simplifying with (61), (5551) gives:
% 256.60/64.93 | | | | | | | | | (5553) all_4_77 = n5
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 256.60/64.93 | | | | | | | | | simplifying with (68), (5550) gives:
% 256.60/64.93 | | | | | | | | | (5554) all_4_73 = n1
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n7, n9,
% 256.60/64.93 | | | | | | | | | simplifying with (112), (5552) gives:
% 256.60/64.93 | | | | | | | | | (5555) all_4_74 = n5
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (5267), (5554) imply:
% 256.60/64.93 | | | | | | | | | (5556) sum(n1, n9) = all_4_98
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REDUCE: (129), (5553), (5555) imply:
% 256.60/64.93 | | | | | | | | | (5557) sum(n5, n5) = all_4_99
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n9, n1,
% 256.60/64.93 | | | | | | | | | simplifying with (26), (5556) gives:
% 256.60/64.93 | | | | | | | | | (5558) all_4_98 = n10
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.60/64.93 | | | | | | | | | simplifying with (66), (5557) gives:
% 256.60/64.93 | | | | | | | | | (5559) all_4_99 = n10
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.60/64.93 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.93 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.93 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.93 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.93 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.93 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.93 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.93 | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 256.60/64.93 | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.93 | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.93 | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 256.60/64.93 | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.93 | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.93 | | | | | | | | | (245), (246), (5512), (5557), (5558), (5559) are
% 256.60/64.93 | | | | | | | | | inconsistent by sub-proof #188.
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | Case 2:
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | (5560) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 256.60/64.93 | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | BETA: splitting (5560) gives:
% 256.60/64.93 | | | | | | | | |
% 256.60/64.93 | | | | | | | | | Case 1:
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | (5561) all_4_101 = n5
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (229), (5561) imply:
% 256.60/64.93 | | | | | | | | | | (5562) pred(n5) = all_4_79
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (198), (5561) imply:
% 256.60/64.93 | | | | | | | | | | (5563) succ(n5) = all_4_75
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 256.60/64.93 | | | | | | | | | | simplifying with (192), (5563) gives:
% 256.60/64.93 | | | | | | | | | | (5564) all_4_75 = n6
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 256.60/64.93 | | | | | | | | | | simplifying with (223), (5562) gives:
% 256.60/64.93 | | | | | | | | | | (5565) all_4_79 = n4
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (128), (5564), (5565) imply:
% 256.60/64.93 | | | | | | | | | | (5566) sum(n4, n6) = all_4_73
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (5265), (5565) imply:
% 256.60/64.93 | | | | | | | | | | (5567) sum(n4, n0) = all_4_77
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (5263), (5564) imply:
% 256.60/64.93 | | | | | | | | | | (5568) sum(n9, n6) = all_4_74
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n0, n4,
% 256.60/64.93 | | | | | | | | | | simplifying with (50), (5567) gives:
% 256.60/64.93 | | | | | | | | | | (5569) all_4_77 = n4
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 256.60/64.93 | | | | | | | | | | simplifying with (56), (5566) gives:
% 256.60/64.93 | | | | | | | | | | (5570) all_4_73 = n10
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n6, n9,
% 256.60/64.93 | | | | | | | | | | simplifying with (111), (5568) gives:
% 256.60/64.93 | | | | | | | | | | (5571) all_4_74 = n4
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (5267), (5570) imply:
% 256.60/64.93 | | | | | | | | | | (5572) sum(n10, n9) = all_4_98
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REDUCE: (129), (5569), (5571) imply:
% 256.60/64.93 | | | | | | | | | | (5573) sum(n4, n4) = all_4_99
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.60/64.93 | | | | | | | | | | simplifying with (54), (5573) gives:
% 256.60/64.93 | | | | | | | | | | (5574) all_4_99 = n8
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n9, n10,
% 256.60/64.93 | | | | | | | | | | simplifying with (125), (5572) gives:
% 256.60/64.93 | | | | | | | | | | (5575) all_4_98 = n8
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.60/64.93 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.93 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.93 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.93 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.93 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.93 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.93 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.93 | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 256.60/64.93 | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.93 | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.93 | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 256.60/64.93 | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.93 | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.93 | | | | | | | | | | (245), (246), (5512), (5573), (5574), (5575) are
% 256.60/64.93 | | | | | | | | | | inconsistent by sub-proof #187.
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | Case 2:
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | (5576) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.60/64.93 | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | BETA: splitting (5576) gives:
% 256.60/64.93 | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | Case 1:
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | (5577) all_4_101 = n4
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | REDUCE: (229), (5577) imply:
% 256.60/64.93 | | | | | | | | | | | (5578) pred(n4) = all_4_79
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | REDUCE: (198), (5577) imply:
% 256.60/64.93 | | | | | | | | | | | (5579) succ(n4) = all_4_75
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.60/64.93 | | | | | | | | | | | simplifying with (191), (5579) gives:
% 256.60/64.93 | | | | | | | | | | | (5580) all_4_75 = n5
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.60/64.93 | | | | | | | | | | | simplifying with (222), (5578) gives:
% 256.60/64.93 | | | | | | | | | | | (5581) all_4_79 = n3
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | REDUCE: (128), (5580), (5581) imply:
% 256.60/64.93 | | | | | | | | | | | (5582) sum(n3, n5) = all_4_73
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | REDUCE: (5265), (5581) imply:
% 256.60/64.93 | | | | | | | | | | | (5583) sum(n3, n0) = all_4_77
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | REDUCE: (5263), (5580) imply:
% 256.60/64.93 | | | | | | | | | | | (5584) sum(n9, n5) = all_4_74
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 256.60/64.93 | | | | | | | | | | | simplifying with (39), (5583) gives:
% 256.60/64.93 | | | | | | | | | | | (5585) all_4_77 = n3
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.93 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.60/64.93 | | | | | | | | | | | simplifying with (44), (5582) gives:
% 256.60/64.93 | | | | | | | | | | | (5586) all_4_73 = n8
% 256.60/64.93 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 256.60/64.94 | | | | | | | | | | | simplifying with (110), (5584) gives:
% 256.60/64.94 | | | | | | | | | | | (5587) all_4_74 = n3
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | REDUCE: (5267), (5586) imply:
% 256.60/64.94 | | | | | | | | | | | (5588) sum(n8, n9) = all_4_98
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | REDUCE: (129), (5585), (5587) imply:
% 256.60/64.94 | | | | | | | | | | | (5589) sum(n3, n3) = all_4_99
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.60/64.94 | | | | | | | | | | | simplifying with (42), (5589) gives:
% 256.60/64.94 | | | | | | | | | | | (5590) all_4_99 = n6
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 256.60/64.94 | | | | | | | | | | | simplifying with (103), (5588) gives:
% 256.60/64.94 | | | | | | | | | | | (5591) all_4_98 = n6
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.60/64.94 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.94 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.94 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.94 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.94 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.94 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.94 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.94 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 256.60/64.94 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.94 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.94 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 256.60/64.94 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.94 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.94 | | | | | | | | | | | (245), (246), (5512), (5589), (5590), (5591) are
% 256.60/64.94 | | | | | | | | | | | inconsistent by sub-proof #186.
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | Case 2:
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | (5592) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.60/64.94 | | | | | | | | | | | all_4_101 = n0
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | BETA: splitting (5592) gives:
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | Case 1:
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | (5593) all_4_101 = n3
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (229), (5593) imply:
% 256.60/64.94 | | | | | | | | | | | | (5594) pred(n3) = all_4_79
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (198), (5593) imply:
% 256.60/64.94 | | | | | | | | | | | | (5595) succ(n3) = all_4_75
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (190), (5595) gives:
% 256.60/64.94 | | | | | | | | | | | | (5596) all_4_75 = n4
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (221), (5594) gives:
% 256.60/64.94 | | | | | | | | | | | | (5597) all_4_79 = n2
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (128), (5596), (5597) imply:
% 256.60/64.94 | | | | | | | | | | | | (5598) sum(n2, n4) = all_4_73
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (5265), (5597) imply:
% 256.60/64.94 | | | | | | | | | | | | (5599) sum(n2, n0) = all_4_77
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (5263), (5596) imply:
% 256.60/64.94 | | | | | | | | | | | | (5600) sum(n9, n4) = all_4_74
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (28), (5599) gives:
% 256.60/64.94 | | | | | | | | | | | | (5601) all_4_77 = n2
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (32), (5598) gives:
% 256.60/64.94 | | | | | | | | | | | | (5602) all_4_73 = n6
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (109), (5600) gives:
% 256.60/64.94 | | | | | | | | | | | | (5603) all_4_74 = n2
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (5267), (5602) imply:
% 256.60/64.94 | | | | | | | | | | | | (5604) sum(n6, n9) = all_4_98
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REDUCE: (129), (5601), (5603) imply:
% 256.60/64.94 | | | | | | | | | | | | (5605) sum(n2, n2) = all_4_99
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (30), (5605) gives:
% 256.60/64.94 | | | | | | | | | | | | (5606) all_4_99 = n4
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 256.60/64.94 | | | | | | | | | | | | simplifying with (81), (5604) gives:
% 256.60/64.94 | | | | | | | | | | | | (5607) all_4_98 = n4
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.60/64.94 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.60/64.94 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.94 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.94 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.94 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.94 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.94 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.94 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 256.60/64.94 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.94 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.94 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 256.60/64.94 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.94 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.94 | | | | | | | | | | | | (245), (246), (5512), (5605), (5606), (5607) are
% 256.60/64.94 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | Case 2:
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | (5608) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | BETA: splitting (5608) gives:
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | Case 1:
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | (5609) all_4_101 = n2
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (229), (5609) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5610) pred(n2) = all_4_79
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (198), (5609) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5611) succ(n2) = all_4_75
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (189), (5611) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5612) all_4_75 = n3
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (220), (5610) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5613) all_4_79 = n1
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (128), (5612), (5613) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5614) sum(n1, n3) = all_4_73
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (5265), (5613) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5615) sum(n1, n0) = all_4_77
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (5263), (5612) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5616) sum(n9, n3) = all_4_74
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (17), (5615) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5617) all_4_77 = n1
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (20), (5614) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5618) all_4_73 = n4
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (108), (5616) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5619) all_4_74 = n1
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (5267), (5618) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5620) sum(n4, n9) = all_4_98
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REDUCE: (129), (5617), (5619) imply:
% 256.60/64.94 | | | | | | | | | | | | | (5621) sum(n1, n1) = all_4_99
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (18), (5621) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5622) all_4_99 = n2
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 256.60/64.94 | | | | | | | | | | | | | simplifying with (59), (5620) gives:
% 256.60/64.94 | | | | | | | | | | | | | (5623) all_4_98 = n2
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 256.60/64.94 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.94 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.94 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.94 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.94 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.94 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.94 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.94 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 256.60/64.94 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.94 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.94 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 256.60/64.94 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.94 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.94 | | | | | | | | | | | | | (245), (246), (5512), (5621), (5622), (5623) are
% 256.60/64.94 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | Case 2:
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | (5624) all_4_101 = n1 | all_4_101 = n0
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | BETA: splitting (5624) gives:
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | Case 1:
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | (5625) all_4_101 = n1
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (229), (5625) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5626) pred(n1) = all_4_79
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (198), (5625) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5627) succ(n1) = all_4_75
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (188), (5627) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5628) all_4_75 = n2
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (219), (5626) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5629) all_4_79 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (128), (5628), (5629) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5630) sum(n0, n2) = all_4_73
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (5265), (5629) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5631) sum(n0, n0) = all_4_77
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (5263), (5628) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5632) sum(n9, n2) = all_4_74
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (6), (5631) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5633) all_4_77 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (8), (5630) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5634) all_4_73 = n2
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (107), (5632) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5635) all_4_74 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (5267), (5634) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5636) sum(n2, n9) = all_4_98
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (129), (5633), (5635) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5637) sum(n0, n0) = all_4_99
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (6), (5637) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5638) all_4_99 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (37), (5636) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5639) all_4_98 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.60/64.94 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.94 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.94 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.94 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.94 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.94 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.94 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 256.60/64.94 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 256.60/64.94 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 256.60/64.94 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.94 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 256.60/64.94 | | | | | | | | | | | | | | (246), (5512), (5637), (5638), (5639) are
% 256.60/64.94 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | Case 2:
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | (5640) all_4_101 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (229), (5640) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5641) pred(n0) = all_4_79
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (198), (5640) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5642) succ(n0) = all_4_75
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (187), (5642) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5643) all_4_75 = n1
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (218), (5641) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5644) all_4_79 = n10
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (128), (5643), (5644) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5645) sum(n10, n1) = all_4_73
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (5265), (5644) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5646) sum(n10, n0) = all_4_77
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (5263), (5643) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5647) sum(n9, n1) = all_4_74
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (106), (5647) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5648) all_4_74 = n10
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (116), (5646) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5649) all_4_77 = n10
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (117), (5645) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5650) all_4_73 = n0
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (5267), (5650) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5651) sum(n0, n9) = all_4_98
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REDUCE: (129), (5648), (5649) imply:
% 256.60/64.94 | | | | | | | | | | | | | | (5652) sum(n10, n10) = all_4_99
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (15), (5651) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5653) all_4_98 = n9
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 256.60/64.94 | | | | | | | | | | | | | | simplifying with (126), (5652) gives:
% 256.60/64.94 | | | | | | | | | | | | | | (5654) all_4_99 = n9
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.60/64.94 | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 256.60/64.94 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.94 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.94 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.94 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.94 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.94 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 256.60/64.94 | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 256.60/64.94 | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.60/64.94 | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 256.60/64.94 | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 256.60/64.94 | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.60/64.94 | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 256.60/64.94 | | | | | | | | | | | | | | (245), (246), (5512), (5652), (5653), (5654) are
% 256.60/64.94 | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 256.60/64.94 | | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | | End of split
% 256.60/64.94 | | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | | End of split
% 256.60/64.94 | | | | | | | | | | | |
% 256.60/64.94 | | | | | | | | | | | End of split
% 256.60/64.94 | | | | | | | | | | |
% 256.60/64.95 | | | | | | | | | | End of split
% 256.60/64.95 | | | | | | | | | |
% 256.60/64.95 | | | | | | | | | End of split
% 256.60/64.95 | | | | | | | | |
% 256.60/64.95 | | | | | | | | End of split
% 256.60/64.95 | | | | | | | |
% 256.60/64.95 | | | | | | | End of split
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | End of split
% 256.60/64.95 | | | | | |
% 256.60/64.95 | | | | | Case 2:
% 256.60/64.95 | | | | | |
% 256.60/64.95 | | | | | | (5655) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~
% 256.60/64.95 | | | | | | (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~
% 256.60/64.95 | | | | | | (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 256.60/64.95 | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 256.60/64.95 | | | | | |
% 256.60/64.95 | | | | | | BETA: splitting (5511) gives:
% 256.60/64.95 | | | | | |
% 256.60/64.95 | | | | | | Case 1:
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | (5656) all_4_101 = n8
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (229), (5656) imply:
% 256.60/64.95 | | | | | | | (5657) pred(n8) = all_4_79
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (198), (5656) imply:
% 256.60/64.95 | | | | | | | (5658) succ(n8) = all_4_75
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8, simplifying
% 256.60/64.95 | | | | | | | with (195), (5658) gives:
% 256.60/64.95 | | | | | | | (5659) all_4_75 = n9
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8, simplifying
% 256.60/64.95 | | | | | | | with (226), (5657) gives:
% 256.60/64.95 | | | | | | | (5660) all_4_79 = n7
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (128), (5659), (5660) imply:
% 256.60/64.95 | | | | | | | (5661) sum(n7, n9) = all_4_73
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (5265), (5660) imply:
% 256.60/64.95 | | | | | | | (5662) sum(n7, n0) = all_4_77
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (5263), (5659) imply:
% 256.60/64.95 | | | | | | | (5663) sum(n9, n9) = all_4_74
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n0, n7,
% 256.60/64.95 | | | | | | | simplifying with (83), (5662) gives:
% 256.60/64.95 | | | | | | | (5664) all_4_77 = n7
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 256.60/64.95 | | | | | | | simplifying with (92), (5661) gives:
% 256.60/64.95 | | | | | | | (5665) all_4_73 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n9, n9,
% 256.60/64.95 | | | | | | | simplifying with (114), (5663) gives:
% 256.60/64.95 | | | | | | | (5666) all_4_74 = n7
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (5267), (5665) imply:
% 256.60/64.95 | | | | | | | (5667) sum(n5, n9) = all_4_98
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (129), (5664), (5666) imply:
% 256.60/64.95 | | | | | | | (5668) sum(n7, n7) = all_4_99
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n9, n5,
% 256.60/64.95 | | | | | | | simplifying with (70), (5667) gives:
% 256.60/64.95 | | | | | | | (5669) all_4_98 = n3
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 256.60/64.95 | | | | | | | simplifying with (90), (5668) gives:
% 256.60/64.95 | | | | | | | (5670) all_4_99 = n3
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (232), (5669) imply:
% 256.60/64.95 | | | | | | | (5671) pred(n3) = all_4_68
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (231), (5670) imply:
% 256.60/64.95 | | | | | | | (5672) pred(n3) = all_4_71
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (201), (5669) imply:
% 256.60/64.95 | | | | | | | (5673) succ(n3) = all_4_70
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (200), (5670) imply:
% 256.60/64.95 | | | | | | | (5674) succ(n3) = all_4_67
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_67, n3, simplifying
% 256.60/64.95 | | | | | | | with (190), (5674) gives:
% 256.60/64.95 | | | | | | | (5675) all_4_67 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n3,
% 256.60/64.95 | | | | | | | simplifying with (5673), (5674) gives:
% 256.60/64.95 | | | | | | | (5676) all_4_67 = all_4_70
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_68, n3, simplifying
% 256.60/64.95 | | | | | | | with (221), (5671) gives:
% 256.60/64.95 | | | | | | | (5677) all_4_68 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n3,
% 256.60/64.95 | | | | | | | simplifying with (5671), (5672) gives:
% 256.60/64.95 | | | | | | | (5678) all_4_68 = all_4_71
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5675), (5676) imply:
% 256.60/64.95 | | | | | | | (5679) all_4_70 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5679) implies:
% 256.60/64.95 | | | | | | | (5680) all_4_70 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5677), (5678) imply:
% 256.60/64.95 | | | | | | | (5681) all_4_71 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (137), (5675), (5677) imply:
% 256.60/64.95 | | | | | | | (5682) sum(n2, n4) = all_4_66
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (136), (5677), (5680) imply:
% 256.60/64.95 | | | | | | | (5683) sum(n2, n4) = all_4_64
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (134), (5675), (5681) imply:
% 256.60/64.95 | | | | | | | (5684) sum(n2, n4) = all_4_65
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (133), (5680), (5681) imply:
% 256.60/64.95 | | | | | | | (5685) sum(n2, n4) = all_4_69
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_65, n4, n2,
% 256.60/64.95 | | | | | | | simplifying with (32), (5684) gives:
% 256.60/64.95 | | | | | | | (5686) all_4_65 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n4, n2,
% 256.60/64.95 | | | | | | | simplifying with (5682), (5684) gives:
% 256.60/64.95 | | | | | | | (5687) all_4_65 = all_4_66
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n4, n2,
% 256.60/64.95 | | | | | | | simplifying with (5682), (5683) gives:
% 256.60/64.95 | | | | | | | (5688) all_4_64 = all_4_66
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n4, n2,
% 256.60/64.95 | | | | | | | simplifying with (5683), (5685) gives:
% 256.60/64.95 | | | | | | | (5689) all_4_64 = all_4_69
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5688), (5689) imply:
% 256.60/64.95 | | | | | | | (5690) all_4_66 = all_4_69
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5690) implies:
% 256.60/64.95 | | | | | | | (5691) all_4_66 = all_4_69
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5686), (5687) imply:
% 256.60/64.95 | | | | | | | (5692) all_4_66 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5692) implies:
% 256.60/64.95 | | | | | | | (5693) all_4_66 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5691), (5693) imply:
% 256.60/64.95 | | | | | | | (5694) all_4_69 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5689), (5694) imply:
% 256.60/64.95 | | | | | | | (5695) all_4_64 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (138), (5686), (5695) imply:
% 256.60/64.95 | | | | | | | (5696) sum(n6, n6) = all_4_96
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (135), (5693), (5694) imply:
% 256.60/64.95 | | | | | | | (5697) sum(n6, n6) = all_4_97
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_96, n6, n6,
% 256.60/64.95 | | | | | | | simplifying with (78), (5696) gives:
% 256.60/64.95 | | | | | | | (5698) all_4_96 = n1
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n6, n6,
% 256.60/64.95 | | | | | | | simplifying with (5696), (5697) gives:
% 256.60/64.95 | | | | | | | (5699) all_4_96 = all_4_97
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5698), (5699) imply:
% 256.60/64.95 | | | | | | | (5700) all_4_97 = n1
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (234), (5698) imply:
% 256.60/64.95 | | | | | | | (5701) pred(n1) = all_4_60
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (233), (5700) imply:
% 256.60/64.95 | | | | | | | (5702) pred(n1) = all_4_63
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (203), (5698) imply:
% 256.60/64.95 | | | | | | | (5703) succ(n1) = all_4_62
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (202), (5700) imply:
% 256.60/64.95 | | | | | | | (5704) succ(n1) = all_4_59
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_59, n1, simplifying
% 256.60/64.95 | | | | | | | with (188), (5704) gives:
% 256.60/64.95 | | | | | | | (5705) all_4_59 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n1,
% 256.60/64.95 | | | | | | | simplifying with (5703), (5704) gives:
% 256.60/64.95 | | | | | | | (5706) all_4_59 = all_4_62
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_60, n1, simplifying
% 256.60/64.95 | | | | | | | with (219), (5701) gives:
% 256.60/64.95 | | | | | | | (5707) all_4_60 = n0
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n1,
% 256.60/64.95 | | | | | | | simplifying with (5701), (5702) gives:
% 256.60/64.95 | | | | | | | (5708) all_4_60 = all_4_63
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5705), (5706) imply:
% 256.60/64.95 | | | | | | | (5709) all_4_62 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5709) implies:
% 256.60/64.95 | | | | | | | (5710) all_4_62 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5707), (5708) imply:
% 256.60/64.95 | | | | | | | (5711) all_4_63 = n0
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (143), (5705), (5707) imply:
% 256.60/64.95 | | | | | | | (5712) sum(n0, n2) = all_4_58
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (142), (5707), (5710) imply:
% 256.60/64.95 | | | | | | | (5713) sum(n0, n2) = all_4_56
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (140), (5705), (5711) imply:
% 256.60/64.95 | | | | | | | (5714) sum(n0, n2) = all_4_57
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (139), (5710), (5711) imply:
% 256.60/64.95 | | | | | | | (5715) sum(n0, n2) = all_4_61
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_58, n2, n0,
% 256.60/64.95 | | | | | | | simplifying with (8), (5712) gives:
% 256.60/64.95 | | | | | | | (5716) all_4_58 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n2, n0,
% 256.60/64.95 | | | | | | | simplifying with (5712), (5714) gives:
% 256.60/64.95 | | | | | | | (5717) all_4_57 = all_4_58
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n2, n0,
% 256.60/64.95 | | | | | | | simplifying with (5713), (5714) gives:
% 256.60/64.95 | | | | | | | (5718) all_4_56 = all_4_57
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n2, n0,
% 256.60/64.95 | | | | | | | simplifying with (5713), (5715) gives:
% 256.60/64.95 | | | | | | | (5719) all_4_56 = all_4_61
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5718), (5719) imply:
% 256.60/64.95 | | | | | | | (5720) all_4_57 = all_4_61
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5720) implies:
% 256.60/64.95 | | | | | | | (5721) all_4_57 = all_4_61
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5717), (5721) imply:
% 256.60/64.95 | | | | | | | (5722) all_4_58 = all_4_61
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5722) implies:
% 256.60/64.95 | | | | | | | (5723) all_4_58 = all_4_61
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5716), (5723) imply:
% 256.60/64.95 | | | | | | | (5724) all_4_61 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5721), (5724) imply:
% 256.60/64.95 | | | | | | | (5725) all_4_57 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5719), (5724) imply:
% 256.60/64.95 | | | | | | | (5726) all_4_56 = n2
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (144), (5725), (5726) imply:
% 256.60/64.95 | | | | | | | (5727) sum(n2, n2) = all_4_94
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (141), (5716), (5724) imply:
% 256.60/64.95 | | | | | | | (5728) sum(n2, n2) = all_4_95
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_94, n2, n2,
% 256.60/64.95 | | | | | | | simplifying with (30), (5727) gives:
% 256.60/64.95 | | | | | | | (5729) all_4_94 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n2, n2,
% 256.60/64.95 | | | | | | | simplifying with (5727), (5728) gives:
% 256.60/64.95 | | | | | | | (5730) all_4_94 = all_4_95
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5729), (5730) imply:
% 256.60/64.95 | | | | | | | (5731) all_4_95 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (236), (5729) imply:
% 256.60/64.95 | | | | | | | (5732) pred(n4) = all_4_52
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (235), (5731) imply:
% 256.60/64.95 | | | | | | | (5733) pred(n4) = all_4_55
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (205), (5729) imply:
% 256.60/64.95 | | | | | | | (5734) succ(n4) = all_4_54
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (204), (5731) imply:
% 256.60/64.95 | | | | | | | (5735) succ(n4) = all_4_51
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_51, n4, simplifying
% 256.60/64.95 | | | | | | | with (191), (5735) gives:
% 256.60/64.95 | | | | | | | (5736) all_4_51 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n4,
% 256.60/64.95 | | | | | | | simplifying with (5734), (5735) gives:
% 256.60/64.95 | | | | | | | (5737) all_4_51 = all_4_54
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_52, n4, simplifying
% 256.60/64.95 | | | | | | | with (222), (5732) gives:
% 256.60/64.95 | | | | | | | (5738) all_4_52 = n3
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n4,
% 256.60/64.95 | | | | | | | simplifying with (5732), (5733) gives:
% 256.60/64.95 | | | | | | | (5739) all_4_52 = all_4_55
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5736), (5737) imply:
% 256.60/64.95 | | | | | | | (5740) all_4_54 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5740) implies:
% 256.60/64.95 | | | | | | | (5741) all_4_54 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5738), (5739) imply:
% 256.60/64.95 | | | | | | | (5742) all_4_55 = n3
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (149), (5736), (5738) imply:
% 256.60/64.95 | | | | | | | (5743) sum(n3, n5) = all_4_50
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (148), (5738), (5741) imply:
% 256.60/64.95 | | | | | | | (5744) sum(n3, n5) = all_4_48
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (146), (5736), (5742) imply:
% 256.60/64.95 | | | | | | | (5745) sum(n3, n5) = all_4_49
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (145), (5741), (5742) imply:
% 256.60/64.95 | | | | | | | (5746) sum(n3, n5) = all_4_53
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_50, n5, n3,
% 256.60/64.95 | | | | | | | simplifying with (44), (5743) gives:
% 256.60/64.95 | | | | | | | (5747) all_4_50 = n8
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n5, n3,
% 256.60/64.95 | | | | | | | simplifying with (5743), (5745) gives:
% 256.60/64.95 | | | | | | | (5748) all_4_49 = all_4_50
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n5, n3,
% 256.60/64.95 | | | | | | | simplifying with (5744), (5745) gives:
% 256.60/64.95 | | | | | | | (5749) all_4_48 = all_4_49
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n5, n3,
% 256.60/64.95 | | | | | | | simplifying with (5744), (5746) gives:
% 256.60/64.95 | | | | | | | (5750) all_4_48 = all_4_53
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5749), (5750) imply:
% 256.60/64.95 | | | | | | | (5751) all_4_49 = all_4_53
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5751) implies:
% 256.60/64.95 | | | | | | | (5752) all_4_49 = all_4_53
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5748), (5752) imply:
% 256.60/64.95 | | | | | | | (5753) all_4_50 = all_4_53
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5753) implies:
% 256.60/64.95 | | | | | | | (5754) all_4_50 = all_4_53
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5747), (5754) imply:
% 256.60/64.95 | | | | | | | (5755) all_4_53 = n8
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5752), (5755) imply:
% 256.60/64.95 | | | | | | | (5756) all_4_49 = n8
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5750), (5755) imply:
% 256.60/64.95 | | | | | | | (5757) all_4_48 = n8
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (150), (5756), (5757) imply:
% 256.60/64.95 | | | | | | | (5758) sum(n8, n8) = all_4_92
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (147), (5747), (5755) imply:
% 256.60/64.95 | | | | | | | (5759) sum(n8, n8) = all_4_93
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_92, n8, n8,
% 256.60/64.95 | | | | | | | simplifying with (102), (5758) gives:
% 256.60/64.95 | | | | | | | (5760) all_4_92 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n8, n8,
% 256.60/64.95 | | | | | | | simplifying with (5758), (5759) gives:
% 256.60/64.95 | | | | | | | (5761) all_4_92 = all_4_93
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5760), (5761) imply:
% 256.60/64.95 | | | | | | | (5762) all_4_93 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5762) implies:
% 256.60/64.95 | | | | | | | (5763) all_4_93 = n5
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (238), (5760) imply:
% 256.60/64.95 | | | | | | | (5764) pred(n5) = all_4_44
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (237), (5763) imply:
% 256.60/64.95 | | | | | | | (5765) pred(n5) = all_4_47
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (207), (5760) imply:
% 256.60/64.95 | | | | | | | (5766) succ(n5) = all_4_46
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (206), (5763) imply:
% 256.60/64.95 | | | | | | | (5767) succ(n5) = all_4_43
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_43, n5, simplifying
% 256.60/64.95 | | | | | | | with (192), (5767) gives:
% 256.60/64.95 | | | | | | | (5768) all_4_43 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n5,
% 256.60/64.95 | | | | | | | simplifying with (5766), (5767) gives:
% 256.60/64.95 | | | | | | | (5769) all_4_43 = all_4_46
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_44, n5, simplifying
% 256.60/64.95 | | | | | | | with (223), (5764) gives:
% 256.60/64.95 | | | | | | | (5770) all_4_44 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n5,
% 256.60/64.95 | | | | | | | simplifying with (5764), (5765) gives:
% 256.60/64.95 | | | | | | | (5771) all_4_44 = all_4_47
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5768), (5769) imply:
% 256.60/64.95 | | | | | | | (5772) all_4_46 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | SIMP: (5772) implies:
% 256.60/64.95 | | | | | | | (5773) all_4_46 = n6
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | COMBINE_EQS: (5770), (5771) imply:
% 256.60/64.95 | | | | | | | (5774) all_4_47 = n4
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (155), (5768), (5770) imply:
% 256.60/64.95 | | | | | | | (5775) sum(n4, n6) = all_4_42
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (154), (5770), (5773) imply:
% 256.60/64.95 | | | | | | | (5776) sum(n4, n6) = all_4_40
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (152), (5768), (5774) imply:
% 256.60/64.95 | | | | | | | (5777) sum(n4, n6) = all_4_41
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | REDUCE: (151), (5773), (5774) imply:
% 256.60/64.95 | | | | | | | (5778) sum(n4, n6) = all_4_45
% 256.60/64.95 | | | | | | |
% 256.60/64.95 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_42, n6, n4,
% 256.60/64.95 | | | | | | | simplifying with (56), (5775) gives:
% 256.60/64.95 | | | | | | | (5779) all_4_42 = n10
% 256.60/64.95 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n6, n4,
% 256.60/64.96 | | | | | | | simplifying with (5775), (5777) gives:
% 256.60/64.96 | | | | | | | (5780) all_4_41 = all_4_42
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n6, n4,
% 256.60/64.96 | | | | | | | simplifying with (5776), (5777) gives:
% 256.60/64.96 | | | | | | | (5781) all_4_40 = all_4_41
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n6, n4,
% 256.60/64.96 | | | | | | | simplifying with (5776), (5778) gives:
% 256.60/64.96 | | | | | | | (5782) all_4_40 = all_4_45
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5781), (5782) imply:
% 256.60/64.96 | | | | | | | (5783) all_4_41 = all_4_45
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5783) implies:
% 256.60/64.96 | | | | | | | (5784) all_4_41 = all_4_45
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5780), (5784) imply:
% 256.60/64.96 | | | | | | | (5785) all_4_42 = all_4_45
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5785) implies:
% 256.60/64.96 | | | | | | | (5786) all_4_42 = all_4_45
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5779), (5786) imply:
% 256.60/64.96 | | | | | | | (5787) all_4_45 = n10
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5784), (5787) imply:
% 256.60/64.96 | | | | | | | (5788) all_4_41 = n10
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5782), (5787) imply:
% 256.60/64.96 | | | | | | | (5789) all_4_40 = n10
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (156), (5788), (5789) imply:
% 256.60/64.96 | | | | | | | (5790) sum(n10, n10) = all_4_90
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (153), (5779), (5787) imply:
% 256.60/64.96 | | | | | | | (5791) sum(n10, n10) = all_4_91
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_90, n10, n10,
% 256.60/64.96 | | | | | | | simplifying with (126), (5790) gives:
% 256.60/64.96 | | | | | | | (5792) all_4_90 = n9
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n10, n10,
% 256.60/64.96 | | | | | | | simplifying with (5790), (5791) gives:
% 256.60/64.96 | | | | | | | (5793) all_4_90 = all_4_91
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5792), (5793) imply:
% 256.60/64.96 | | | | | | | (5794) all_4_91 = n9
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (240), (5792) imply:
% 256.60/64.96 | | | | | | | (5795) pred(n9) = all_4_36
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (239), (5794) imply:
% 256.60/64.96 | | | | | | | (5796) pred(n9) = all_4_39
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (209), (5792) imply:
% 256.60/64.96 | | | | | | | (5797) succ(n9) = all_4_38
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (208), (5794) imply:
% 256.60/64.96 | | | | | | | (5798) succ(n9) = all_4_35
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_35, n9, simplifying
% 256.60/64.96 | | | | | | | with (196), (5798) gives:
% 256.60/64.96 | | | | | | | (5799) all_4_35 = n10
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n9,
% 256.60/64.96 | | | | | | | simplifying with (5797), (5798) gives:
% 256.60/64.96 | | | | | | | (5800) all_4_35 = all_4_38
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_36, n9, simplifying
% 256.60/64.96 | | | | | | | with (227), (5795) gives:
% 256.60/64.96 | | | | | | | (5801) all_4_36 = n8
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n9,
% 256.60/64.96 | | | | | | | simplifying with (5795), (5796) gives:
% 256.60/64.96 | | | | | | | (5802) all_4_36 = all_4_39
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5799), (5800) imply:
% 256.60/64.96 | | | | | | | (5803) all_4_38 = n10
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5803) implies:
% 256.60/64.96 | | | | | | | (5804) all_4_38 = n10
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5801), (5802) imply:
% 256.60/64.96 | | | | | | | (5805) all_4_39 = n8
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (161), (5799), (5801) imply:
% 256.60/64.96 | | | | | | | (5806) sum(n8, n10) = all_4_34
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (160), (5801), (5804) imply:
% 256.60/64.96 | | | | | | | (5807) sum(n8, n10) = all_4_32
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (158), (5799), (5805) imply:
% 256.60/64.96 | | | | | | | (5808) sum(n8, n10) = all_4_33
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (157), (5804), (5805) imply:
% 256.60/64.96 | | | | | | | (5809) sum(n8, n10) = all_4_37
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_34, n10, n8,
% 256.60/64.96 | | | | | | | simplifying with (104), (5806) gives:
% 256.60/64.96 | | | | | | | (5810) all_4_34 = n7
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n10, n8,
% 256.60/64.96 | | | | | | | simplifying with (5806), (5808) gives:
% 256.60/64.96 | | | | | | | (5811) all_4_33 = all_4_34
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n10, n8,
% 256.60/64.96 | | | | | | | simplifying with (5807), (5808) gives:
% 256.60/64.96 | | | | | | | (5812) all_4_32 = all_4_33
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n10, n8,
% 256.60/64.96 | | | | | | | simplifying with (5807), (5809) gives:
% 256.60/64.96 | | | | | | | (5813) all_4_32 = all_4_37
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5812), (5813) imply:
% 256.60/64.96 | | | | | | | (5814) all_4_33 = all_4_37
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5814) implies:
% 256.60/64.96 | | | | | | | (5815) all_4_33 = all_4_37
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5811), (5815) imply:
% 256.60/64.96 | | | | | | | (5816) all_4_34 = all_4_37
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5816) implies:
% 256.60/64.96 | | | | | | | (5817) all_4_34 = all_4_37
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5810), (5817) imply:
% 256.60/64.96 | | | | | | | (5818) all_4_37 = n7
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5815), (5818) imply:
% 256.60/64.96 | | | | | | | (5819) all_4_33 = n7
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5813), (5818) imply:
% 256.60/64.96 | | | | | | | (5820) all_4_32 = n7
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (162), (5819), (5820) imply:
% 256.60/64.96 | | | | | | | (5821) sum(n7, n7) = all_4_88
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (159), (5810), (5818) imply:
% 256.60/64.96 | | | | | | | (5822) sum(n7, n7) = all_4_89
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_88, n7, n7,
% 256.60/64.96 | | | | | | | simplifying with (90), (5821) gives:
% 256.60/64.96 | | | | | | | (5823) all_4_88 = n3
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n7, n7,
% 256.60/64.96 | | | | | | | simplifying with (5821), (5822) gives:
% 256.60/64.96 | | | | | | | (5824) all_4_88 = all_4_89
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5823), (5824) imply:
% 256.60/64.96 | | | | | | | (5825) all_4_89 = n3
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (242), (5823) imply:
% 256.60/64.96 | | | | | | | (5826) pred(n3) = all_4_28
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (241), (5825) imply:
% 256.60/64.96 | | | | | | | (5827) pred(n3) = all_4_31
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (211), (5823) imply:
% 256.60/64.96 | | | | | | | (5828) succ(n3) = all_4_30
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (210), (5825) imply:
% 256.60/64.96 | | | | | | | (5829) succ(n3) = all_4_27
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_27, n3, simplifying
% 256.60/64.96 | | | | | | | with (190), (5829) gives:
% 256.60/64.96 | | | | | | | (5830) all_4_27 = n4
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n3,
% 256.60/64.96 | | | | | | | simplifying with (5828), (5829) gives:
% 256.60/64.96 | | | | | | | (5831) all_4_27 = all_4_30
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_28, n3, simplifying
% 256.60/64.96 | | | | | | | with (221), (5826) gives:
% 256.60/64.96 | | | | | | | (5832) all_4_28 = n2
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n3,
% 256.60/64.96 | | | | | | | simplifying with (5826), (5827) gives:
% 256.60/64.96 | | | | | | | (5833) all_4_28 = all_4_31
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5830), (5831) imply:
% 256.60/64.96 | | | | | | | (5834) all_4_30 = n4
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5834) implies:
% 256.60/64.96 | | | | | | | (5835) all_4_30 = n4
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5832), (5833) imply:
% 256.60/64.96 | | | | | | | (5836) all_4_31 = n2
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (167), (5830), (5832) imply:
% 256.60/64.96 | | | | | | | (5837) sum(n2, n4) = all_4_26
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (166), (5832), (5835) imply:
% 256.60/64.96 | | | | | | | (5838) sum(n2, n4) = all_4_24
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (164), (5830), (5836) imply:
% 256.60/64.96 | | | | | | | (5839) sum(n2, n4) = all_4_25
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (163), (5835), (5836) imply:
% 256.60/64.96 | | | | | | | (5840) sum(n2, n4) = all_4_29
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_26, n4, n2,
% 256.60/64.96 | | | | | | | simplifying with (32), (5837) gives:
% 256.60/64.96 | | | | | | | (5841) all_4_26 = n6
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n4, n2,
% 256.60/64.96 | | | | | | | simplifying with (5837), (5839) gives:
% 256.60/64.96 | | | | | | | (5842) all_4_25 = all_4_26
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n4, n2,
% 256.60/64.96 | | | | | | | simplifying with (5838), (5839) gives:
% 256.60/64.96 | | | | | | | (5843) all_4_24 = all_4_25
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n4, n2,
% 256.60/64.96 | | | | | | | simplifying with (5838), (5840) gives:
% 256.60/64.96 | | | | | | | (5844) all_4_24 = all_4_29
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5843), (5844) imply:
% 256.60/64.96 | | | | | | | (5845) all_4_25 = all_4_29
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5845) implies:
% 256.60/64.96 | | | | | | | (5846) all_4_25 = all_4_29
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5842), (5846) imply:
% 256.60/64.96 | | | | | | | (5847) all_4_26 = all_4_29
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5847) implies:
% 256.60/64.96 | | | | | | | (5848) all_4_26 = all_4_29
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5841), (5848) imply:
% 256.60/64.96 | | | | | | | (5849) all_4_29 = n6
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5846), (5849) imply:
% 256.60/64.96 | | | | | | | (5850) all_4_25 = n6
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5844), (5849) imply:
% 256.60/64.96 | | | | | | | (5851) all_4_24 = n6
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (168), (5850), (5851) imply:
% 256.60/64.96 | | | | | | | (5852) sum(n6, n6) = all_4_86
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (165), (5841), (5849) imply:
% 256.60/64.96 | | | | | | | (5853) sum(n6, n6) = all_4_87
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_86, n6, n6,
% 256.60/64.96 | | | | | | | simplifying with (78), (5852) gives:
% 256.60/64.96 | | | | | | | (5854) all_4_86 = n1
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n6, n6,
% 256.60/64.96 | | | | | | | simplifying with (5852), (5853) gives:
% 256.60/64.96 | | | | | | | (5855) all_4_86 = all_4_87
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | COMBINE_EQS: (5854), (5855) imply:
% 256.60/64.96 | | | | | | | (5856) all_4_87 = n1
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | SIMP: (5856) implies:
% 256.60/64.96 | | | | | | | (5857) all_4_87 = n1
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (244), (5854) imply:
% 256.60/64.96 | | | | | | | (5858) pred(n1) = all_4_20
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (243), (5857) imply:
% 256.60/64.96 | | | | | | | (5859) pred(n1) = all_4_23
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (213), (5854) imply:
% 256.60/64.96 | | | | | | | (5860) succ(n1) = all_4_22
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | REDUCE: (212), (5857) imply:
% 256.60/64.96 | | | | | | | (5861) succ(n1) = all_4_19
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | BETA: splitting (5655) gives:
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | Case 1:
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | (5862) ~ (all_4_84 = all_4_85)
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_19, n1,
% 256.60/64.96 | | | | | | | | simplifying with (188), (5861) gives:
% 256.60/64.96 | | | | | | | | (5863) all_4_19 = n2
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (169), (170), (171), (172),
% 256.60/64.96 | | | | | | | | (173), (174), (219), (5858), (5859), (5860), (5861),
% 256.60/64.96 | | | | | | | | (5862), (5863) are inconsistent by sub-proof #173.
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | Case 2:
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | (5864) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) |
% 256.60/64.96 | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) |
% 256.60/64.96 | | | | | | | | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 256.60/64.96 | | | | | | | | ~ (all_4_98 = all_4_99)
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (163), (164), (165),
% 256.60/64.96 | | | | | | | | (166), (167), (168), (190), (221), (5669), (5670),
% 256.60/64.96 | | | | | | | | (5698), (5700), (5729), (5731), (5760), (5763),
% 256.60/64.96 | | | | | | | | (5792), (5794), (5823), (5825), (5826), (5827),
% 256.60/64.96 | | | | | | | | (5828), (5829), (5864) are inconsistent by sub-proof
% 256.60/64.96 | | | | | | | | #92.
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | End of split
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | Case 2:
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | (5865) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 256.60/64.96 | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.60/64.96 | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | BETA: splitting (5655) gives:
% 256.60/64.96 | | | | | | |
% 256.60/64.96 | | | | | | | Case 1:
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | (5866) ~ (all_4_84 = all_4_85)
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | BETA: splitting (5865) gives:
% 256.60/64.96 | | | | | | | |
% 256.60/64.96 | | | | | | | | Case 1:
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | (5867) all_4_101 = n7
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (229), (5867) imply:
% 256.60/64.96 | | | | | | | | | (5868) pred(n7) = all_4_79
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (198), (5867) imply:
% 256.60/64.96 | | | | | | | | | (5869) succ(n7) = all_4_75
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 256.60/64.96 | | | | | | | | | simplifying with (194), (5869) gives:
% 256.60/64.96 | | | | | | | | | (5870) all_4_75 = n8
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 256.60/64.96 | | | | | | | | | simplifying with (225), (5868) gives:
% 256.60/64.96 | | | | | | | | | (5871) all_4_79 = n6
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (128), (5870), (5871) imply:
% 256.60/64.96 | | | | | | | | | (5872) sum(n6, n8) = all_4_73
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (5265), (5871) imply:
% 256.60/64.96 | | | | | | | | | (5873) sum(n6, n0) = all_4_77
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (5263), (5870) imply:
% 256.60/64.96 | | | | | | | | | (5874) sum(n9, n8) = all_4_74
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n0, n6,
% 256.60/64.96 | | | | | | | | | simplifying with (72), (5873) gives:
% 256.60/64.96 | | | | | | | | | (5875) all_4_77 = n6
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 256.60/64.96 | | | | | | | | | simplifying with (80), (5872) gives:
% 256.60/64.96 | | | | | | | | | (5876) all_4_73 = n3
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n8, n9,
% 256.60/64.96 | | | | | | | | | simplifying with (113), (5874) gives:
% 256.60/64.96 | | | | | | | | | (5877) all_4_74 = n6
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (5267), (5876) imply:
% 256.60/64.96 | | | | | | | | | (5878) sum(n3, n9) = all_4_98
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REDUCE: (129), (5875), (5877) imply:
% 256.60/64.96 | | | | | | | | | (5879) sum(n6, n6) = all_4_99
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n9, n3,
% 256.60/64.96 | | | | | | | | | simplifying with (48), (5878) gives:
% 256.60/64.96 | | | | | | | | | (5880) all_4_98 = n1
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 256.60/64.96 | | | | | | | | | simplifying with (78), (5879) gives:
% 256.60/64.96 | | | | | | | | | (5881) all_4_99 = n1
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 256.60/64.96 | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.60/64.96 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.96 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.96 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.96 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.96 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.96 | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 256.60/64.96 | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 256.60/64.96 | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.96 | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 256.60/64.96 | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.96 | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.96 | | | | | | | | | (5879), (5880), (5881) are inconsistent by
% 256.60/64.96 | | | | | | | | | sub-proof #171.
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | Case 2:
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | (5882) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 256.60/64.96 | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.60/64.96 | | | | | | | | | all_4_101 = n0
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | BETA: splitting (5882) gives:
% 256.60/64.96 | | | | | | | | |
% 256.60/64.96 | | | | | | | | | Case 1:
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | (5883) all_4_101 = n6
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | REDUCE: (229), (5883) imply:
% 256.60/64.96 | | | | | | | | | | (5884) pred(n6) = all_4_79
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | REDUCE: (198), (5883) imply:
% 256.60/64.96 | | | | | | | | | | (5885) succ(n6) = all_4_75
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 256.60/64.96 | | | | | | | | | | simplifying with (193), (5885) gives:
% 256.60/64.96 | | | | | | | | | | (5886) all_4_75 = n7
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 256.60/64.96 | | | | | | | | | | simplifying with (224), (5884) gives:
% 256.60/64.96 | | | | | | | | | | (5887) all_4_79 = n5
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | REDUCE: (128), (5886), (5887) imply:
% 256.60/64.96 | | | | | | | | | | (5888) sum(n5, n7) = all_4_73
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | REDUCE: (5265), (5887) imply:
% 256.60/64.96 | | | | | | | | | | (5889) sum(n5, n0) = all_4_77
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | REDUCE: (5263), (5886) imply:
% 256.60/64.96 | | | | | | | | | | (5890) sum(n9, n7) = all_4_74
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n0, n5,
% 256.60/64.96 | | | | | | | | | | simplifying with (61), (5889) gives:
% 256.60/64.96 | | | | | | | | | | (5891) all_4_77 = n5
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 256.60/64.96 | | | | | | | | | | simplifying with (68), (5888) gives:
% 256.60/64.96 | | | | | | | | | | (5892) all_4_73 = n1
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.96 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n7, n9,
% 256.60/64.96 | | | | | | | | | | simplifying with (112), (5890) gives:
% 256.60/64.96 | | | | | | | | | | (5893) all_4_74 = n5
% 256.60/64.96 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | REDUCE: (5267), (5892) imply:
% 256.60/64.97 | | | | | | | | | | (5894) sum(n1, n9) = all_4_98
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | REDUCE: (129), (5891), (5893) imply:
% 256.60/64.97 | | | | | | | | | | (5895) sum(n5, n5) = all_4_99
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n9, n1,
% 256.60/64.97 | | | | | | | | | | simplifying with (26), (5894) gives:
% 256.60/64.97 | | | | | | | | | | (5896) all_4_98 = n10
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.60/64.97 | | | | | | | | | | simplifying with (66), (5895) gives:
% 256.60/64.97 | | | | | | | | | | (5897) all_4_99 = n10
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.60/64.97 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.97 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.97 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.97 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.97 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.97 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.97 | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 256.60/64.97 | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 256.60/64.97 | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.97 | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 256.60/64.97 | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.97 | | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.97 | | | | | | | | | | (5895), (5896), (5897) are inconsistent by
% 256.60/64.97 | | | | | | | | | | sub-proof #170.
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | Case 2:
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | (5898) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 256.60/64.97 | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | BETA: splitting (5898) gives:
% 256.60/64.97 | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | Case 1:
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | (5899) all_4_101 = n5
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (229), (5899) imply:
% 256.60/64.97 | | | | | | | | | | | (5900) pred(n5) = all_4_79
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (198), (5899) imply:
% 256.60/64.97 | | | | | | | | | | | (5901) succ(n5) = all_4_75
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 256.60/64.97 | | | | | | | | | | | simplifying with (192), (5901) gives:
% 256.60/64.97 | | | | | | | | | | | (5902) all_4_75 = n6
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 256.60/64.97 | | | | | | | | | | | simplifying with (223), (5900) gives:
% 256.60/64.97 | | | | | | | | | | | (5903) all_4_79 = n4
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (128), (5902), (5903) imply:
% 256.60/64.97 | | | | | | | | | | | (5904) sum(n4, n6) = all_4_73
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (5265), (5903) imply:
% 256.60/64.97 | | | | | | | | | | | (5905) sum(n4, n0) = all_4_77
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (5263), (5902) imply:
% 256.60/64.97 | | | | | | | | | | | (5906) sum(n9, n6) = all_4_74
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n0, n4,
% 256.60/64.97 | | | | | | | | | | | simplifying with (50), (5905) gives:
% 256.60/64.97 | | | | | | | | | | | (5907) all_4_77 = n4
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 256.60/64.97 | | | | | | | | | | | simplifying with (56), (5904) gives:
% 256.60/64.97 | | | | | | | | | | | (5908) all_4_73 = n10
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n6, n9,
% 256.60/64.97 | | | | | | | | | | | simplifying with (111), (5906) gives:
% 256.60/64.97 | | | | | | | | | | | (5909) all_4_74 = n4
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (5267), (5908) imply:
% 256.60/64.97 | | | | | | | | | | | (5910) sum(n10, n9) = all_4_98
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REDUCE: (129), (5907), (5909) imply:
% 256.60/64.97 | | | | | | | | | | | (5911) sum(n4, n4) = all_4_99
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.60/64.97 | | | | | | | | | | | simplifying with (54), (5911) gives:
% 256.60/64.97 | | | | | | | | | | | (5912) all_4_99 = n8
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n9, n10,
% 256.60/64.97 | | | | | | | | | | | simplifying with (125), (5910) gives:
% 256.60/64.97 | | | | | | | | | | | (5913) all_4_98 = n8
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.60/64.97 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.97 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.97 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.97 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.97 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.97 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.97 | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 256.60/64.97 | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 256.60/64.97 | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.97 | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 256.60/64.97 | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.97 | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.97 | | | | | | | | | | | (5911), (5912), (5913) are inconsistent by
% 256.60/64.97 | | | | | | | | | | | sub-proof #169.
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | Case 2:
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | (5914) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.60/64.97 | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | BETA: splitting (5914) gives:
% 256.60/64.97 | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | Case 1:
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | (5915) all_4_101 = n4
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (229), (5915) imply:
% 256.60/64.97 | | | | | | | | | | | | (5916) pred(n4) = all_4_79
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (198), (5915) imply:
% 256.60/64.97 | | | | | | | | | | | | (5917) succ(n4) = all_4_75
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (191), (5917) gives:
% 256.60/64.97 | | | | | | | | | | | | (5918) all_4_75 = n5
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (222), (5916) gives:
% 256.60/64.97 | | | | | | | | | | | | (5919) all_4_79 = n3
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (128), (5918), (5919) imply:
% 256.60/64.97 | | | | | | | | | | | | (5920) sum(n3, n5) = all_4_73
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (5265), (5919) imply:
% 256.60/64.97 | | | | | | | | | | | | (5921) sum(n3, n0) = all_4_77
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (5263), (5918) imply:
% 256.60/64.97 | | | | | | | | | | | | (5922) sum(n9, n5) = all_4_74
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (39), (5921) gives:
% 256.60/64.97 | | | | | | | | | | | | (5923) all_4_77 = n3
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (44), (5920) gives:
% 256.60/64.97 | | | | | | | | | | | | (5924) all_4_73 = n8
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (110), (5922) gives:
% 256.60/64.97 | | | | | | | | | | | | (5925) all_4_74 = n3
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (5267), (5924) imply:
% 256.60/64.97 | | | | | | | | | | | | (5926) sum(n8, n9) = all_4_98
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REDUCE: (129), (5923), (5925) imply:
% 256.60/64.97 | | | | | | | | | | | | (5927) sum(n3, n3) = all_4_99
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (42), (5927) gives:
% 256.60/64.97 | | | | | | | | | | | | (5928) all_4_99 = n6
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 256.60/64.97 | | | | | | | | | | | | simplifying with (103), (5926) gives:
% 256.60/64.97 | | | | | | | | | | | | (5929) all_4_98 = n6
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.60/64.97 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.97 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.97 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.97 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.97 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.97 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.97 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 256.60/64.97 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 256.60/64.97 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.97 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 256.60/64.97 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.97 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.97 | | | | | | | | | | | | (5927), (5928), (5929) are inconsistent by
% 256.60/64.97 | | | | | | | | | | | | sub-proof #168.
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | Case 2:
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | (5930) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.60/64.97 | | | | | | | | | | | | all_4_101 = n0
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | BETA: splitting (5930) gives:
% 256.60/64.97 | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | Case 1:
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | (5931) all_4_101 = n3
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (229), (5931) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5932) pred(n3) = all_4_79
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (198), (5931) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5933) succ(n3) = all_4_75
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (190), (5933) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5934) all_4_75 = n4
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (221), (5932) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5935) all_4_79 = n2
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (128), (5934), (5935) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5936) sum(n2, n4) = all_4_73
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (5265), (5935) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5937) sum(n2, n0) = all_4_77
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (5263), (5934) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5938) sum(n9, n4) = all_4_74
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (28), (5937) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5939) all_4_77 = n2
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (32), (5936) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5940) all_4_73 = n6
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (109), (5938) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5941) all_4_74 = n2
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (5267), (5940) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5942) sum(n6, n9) = all_4_98
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REDUCE: (129), (5939), (5941) imply:
% 256.60/64.97 | | | | | | | | | | | | | (5943) sum(n2, n2) = all_4_99
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (30), (5943) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5944) all_4_99 = n4
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 256.60/64.97 | | | | | | | | | | | | | simplifying with (81), (5942) gives:
% 256.60/64.97 | | | | | | | | | | | | | (5945) all_4_98 = n4
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.60/64.97 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.60/64.97 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.97 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.97 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.97 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.97 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.97 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 256.60/64.97 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 256.60/64.97 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.97 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 256.60/64.97 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.97 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.97 | | | | | | | | | | | | | (5943), (5944), (5945) are inconsistent by
% 256.60/64.97 | | | | | | | | | | | | | sub-proof #167.
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | Case 2:
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | (5946) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | BETA: splitting (5946) gives:
% 256.60/64.97 | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | Case 1:
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | (5947) all_4_101 = n2
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (229), (5947) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5948) pred(n2) = all_4_79
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (198), (5947) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5949) succ(n2) = all_4_75
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (189), (5949) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5950) all_4_75 = n3
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (220), (5948) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5951) all_4_79 = n1
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (128), (5950), (5951) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5952) sum(n1, n3) = all_4_73
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (5265), (5951) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5953) sum(n1, n0) = all_4_77
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (5263), (5950) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5954) sum(n9, n3) = all_4_74
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (17), (5953) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5955) all_4_77 = n1
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (20), (5952) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5956) all_4_73 = n4
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (108), (5954) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5957) all_4_74 = n1
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (5267), (5956) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5958) sum(n4, n9) = all_4_98
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REDUCE: (129), (5955), (5957) imply:
% 256.60/64.97 | | | | | | | | | | | | | | (5959) sum(n1, n1) = all_4_99
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (18), (5959) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5960) all_4_99 = n2
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 256.60/64.97 | | | | | | | | | | | | | | simplifying with (59), (5958) gives:
% 256.60/64.97 | | | | | | | | | | | | | | (5961) all_4_98 = n2
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 256.60/64.97 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.60/64.97 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.97 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.97 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.97 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.97 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.97 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 256.60/64.97 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 256.60/64.97 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.97 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 256.60/64.97 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.97 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.97 | | | | | | | | | | | | | | (5959), (5960), (5961) are inconsistent by
% 256.60/64.97 | | | | | | | | | | | | | | sub-proof #166.
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | Case 2:
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | (5962) all_4_101 = n1 | all_4_101 = n0
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | BETA: splitting (5962) gives:
% 256.60/64.97 | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | Case 1:
% 256.60/64.97 | | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | | (5963) all_4_101 = n1
% 256.60/64.97 | | | | | | | | | | | | | | |
% 256.60/64.97 | | | | | | | | | | | | | | | REDUCE: (229), (5963) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5964) pred(n1) = all_4_79
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (198), (5963) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5965) succ(n1) = all_4_75
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (188), (5965) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5966) all_4_75 = n2
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (219), (5964) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5967) all_4_79 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (128), (5966), (5967) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5968) sum(n0, n2) = all_4_73
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (5265), (5967) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5969) sum(n0, n0) = all_4_77
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (5263), (5966) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5970) sum(n9, n2) = all_4_74
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (6), (5969) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5971) all_4_77 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (8), (5968) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5972) all_4_73 = n2
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (107), (5970) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5973) all_4_74 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (5267), (5972) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5974) sum(n2, n9) = all_4_98
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (129), (5971), (5973) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5975) sum(n0, n0) = all_4_99
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (6), (5975) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5976) all_4_99 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (37), (5974) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5977) all_4_98 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.60/64.98 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.98 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.98 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.98 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.98 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.98 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 256.60/64.98 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 256.60/64.98 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 256.60/64.98 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.60/64.98 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (5866), (5975),
% 256.60/64.98 | | | | | | | | | | | | | | | (5976), (5977) are inconsistent by sub-proof #164.
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | Case 2:
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | (5978) all_4_101 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (229), (5978) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5979) pred(n0) = all_4_79
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (198), (5978) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5980) succ(n0) = all_4_75
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (187), (5980) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5981) all_4_75 = n1
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (218), (5979) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5982) all_4_79 = n10
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (128), (5981), (5982) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5983) sum(n10, n1) = all_4_73
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (5265), (5982) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5984) sum(n10, n0) = all_4_77
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (5263), (5981) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5985) sum(n9, n1) = all_4_74
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (106), (5985) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5986) all_4_74 = n10
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (116), (5984) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5987) all_4_77 = n10
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (117), (5983) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5988) all_4_73 = n0
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (5267), (5988) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5989) sum(n0, n9) = all_4_98
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REDUCE: (129), (5986), (5987) imply:
% 256.60/64.98 | | | | | | | | | | | | | | | (5990) sum(n10, n10) = all_4_99
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (15), (5989) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5991) all_4_98 = n9
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 256.60/64.98 | | | | | | | | | | | | | | | simplifying with (126), (5990) gives:
% 256.60/64.98 | | | | | | | | | | | | | | | (5992) all_4_99 = n9
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.60/64.98 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 256.60/64.98 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.60/64.98 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.60/64.98 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.60/64.98 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.60/64.98 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 256.60/64.98 | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 256.60/64.98 | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 256.60/64.98 | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 256.60/64.98 | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 256.60/64.98 | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 256.60/64.98 | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (5866),
% 256.60/64.98 | | | | | | | | | | | | | | | (5990), (5991), (5992) are inconsistent by
% 256.60/64.98 | | | | | | | | | | | | | | | sub-proof #163.
% 256.60/64.98 | | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | | End of split
% 256.60/64.98 | | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | | End of split
% 256.60/64.98 | | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | | End of split
% 256.60/64.98 | | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | | End of split
% 256.60/64.98 | | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | | End of split
% 256.60/64.98 | | | | | | | | | |
% 256.60/64.98 | | | | | | | | | End of split
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | End of split
% 256.60/64.98 | | | | | | | |
% 256.60/64.98 | | | | | | | Case 2:
% 256.60/64.98 | | | | | | | |
% 256.60/64.98 | | | | | | | | (5993) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) |
% 256.60/64.98 | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) |
% 256.60/64.98 | | | | | | | | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 256.60/64.98 | | | | | | | | ~ (all_4_98 = all_4_99)
% 256.60/64.98 | | | | | | | |
% 256.60/64.98 | | | | | | | | BETA: splitting (5865) gives:
% 256.60/64.98 | | | | | | | |
% 256.60/64.98 | | | | | | | | Case 1:
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | (5994) all_4_101 = n7
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (229), (5994) imply:
% 256.60/64.98 | | | | | | | | | (5995) pred(n7) = all_4_79
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (198), (5994) imply:
% 256.60/64.98 | | | | | | | | | (5996) succ(n7) = all_4_75
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 256.60/64.98 | | | | | | | | | simplifying with (194), (5996) gives:
% 256.60/64.98 | | | | | | | | | (5997) all_4_75 = n8
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 256.60/64.98 | | | | | | | | | simplifying with (225), (5995) gives:
% 256.60/64.98 | | | | | | | | | (5998) all_4_79 = n6
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (128), (5997), (5998) imply:
% 256.60/64.98 | | | | | | | | | (5999) sum(n6, n8) = all_4_73
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (5265), (5998) imply:
% 256.60/64.98 | | | | | | | | | (6000) sum(n6, n0) = all_4_77
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (5263), (5997) imply:
% 256.60/64.98 | | | | | | | | | (6001) sum(n9, n8) = all_4_74
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n0, n6,
% 256.60/64.98 | | | | | | | | | simplifying with (72), (6000) gives:
% 256.60/64.98 | | | | | | | | | (6002) all_4_77 = n6
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 256.60/64.98 | | | | | | | | | simplifying with (80), (5999) gives:
% 256.60/64.98 | | | | | | | | | (6003) all_4_73 = n3
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n8, n9,
% 256.60/64.98 | | | | | | | | | simplifying with (113), (6001) gives:
% 256.60/64.98 | | | | | | | | | (6004) all_4_74 = n6
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (5267), (6003) imply:
% 256.60/64.98 | | | | | | | | | (6005) sum(n3, n9) = all_4_98
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (129), (6002), (6004) imply:
% 256.60/64.98 | | | | | | | | | (6006) sum(n6, n6) = all_4_99
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n9, n3,
% 256.60/64.98 | | | | | | | | | simplifying with (48), (6005) gives:
% 256.60/64.98 | | | | | | | | | (6007) all_4_98 = n1
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 256.60/64.98 | | | | | | | | | simplifying with (78), (6006) gives:
% 256.60/64.98 | | | | | | | | | (6008) all_4_99 = n1
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (232), (6007) imply:
% 256.60/64.98 | | | | | | | | | (6009) pred(n1) = all_4_68
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (231), (6008) imply:
% 256.60/64.98 | | | | | | | | | (6010) pred(n1) = all_4_71
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (201), (6007) imply:
% 256.60/64.98 | | | | | | | | | (6011) succ(n1) = all_4_70
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (200), (6008) imply:
% 256.60/64.98 | | | | | | | | | (6012) succ(n1) = all_4_67
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_67, n1,
% 256.60/64.98 | | | | | | | | | simplifying with (188), (6012) gives:
% 256.60/64.98 | | | | | | | | | (6013) all_4_67 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n1,
% 256.60/64.98 | | | | | | | | | simplifying with (6011), (6012) gives:
% 256.60/64.98 | | | | | | | | | (6014) all_4_67 = all_4_70
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_68, n1,
% 256.60/64.98 | | | | | | | | | simplifying with (219), (6009) gives:
% 256.60/64.98 | | | | | | | | | (6015) all_4_68 = n0
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n1,
% 256.60/64.98 | | | | | | | | | simplifying with (6009), (6010) gives:
% 256.60/64.98 | | | | | | | | | (6016) all_4_68 = all_4_71
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6013), (6014) imply:
% 256.60/64.98 | | | | | | | | | (6017) all_4_70 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | SIMP: (6017) implies:
% 256.60/64.98 | | | | | | | | | (6018) all_4_70 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6015), (6016) imply:
% 256.60/64.98 | | | | | | | | | (6019) all_4_71 = n0
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (137), (6013), (6015) imply:
% 256.60/64.98 | | | | | | | | | (6020) sum(n0, n2) = all_4_66
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (136), (6015), (6018) imply:
% 256.60/64.98 | | | | | | | | | (6021) sum(n0, n2) = all_4_64
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (134), (6013), (6019) imply:
% 256.60/64.98 | | | | | | | | | (6022) sum(n0, n2) = all_4_65
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (133), (6018), (6019) imply:
% 256.60/64.98 | | | | | | | | | (6023) sum(n0, n2) = all_4_69
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_65, n2, n0,
% 256.60/64.98 | | | | | | | | | simplifying with (8), (6022) gives:
% 256.60/64.98 | | | | | | | | | (6024) all_4_65 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n2, n0,
% 256.60/64.98 | | | | | | | | | simplifying with (6020), (6022) gives:
% 256.60/64.98 | | | | | | | | | (6025) all_4_65 = all_4_66
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n2, n0,
% 256.60/64.98 | | | | | | | | | simplifying with (6020), (6021) gives:
% 256.60/64.98 | | | | | | | | | (6026) all_4_64 = all_4_66
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n2, n0,
% 256.60/64.98 | | | | | | | | | simplifying with (6021), (6023) gives:
% 256.60/64.98 | | | | | | | | | (6027) all_4_64 = all_4_69
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6026), (6027) imply:
% 256.60/64.98 | | | | | | | | | (6028) all_4_66 = all_4_69
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | SIMP: (6028) implies:
% 256.60/64.98 | | | | | | | | | (6029) all_4_66 = all_4_69
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6024), (6025) imply:
% 256.60/64.98 | | | | | | | | | (6030) all_4_66 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | SIMP: (6030) implies:
% 256.60/64.98 | | | | | | | | | (6031) all_4_66 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6029), (6031) imply:
% 256.60/64.98 | | | | | | | | | (6032) all_4_69 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6027), (6032) imply:
% 256.60/64.98 | | | | | | | | | (6033) all_4_64 = n2
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (138), (6024), (6033) imply:
% 256.60/64.98 | | | | | | | | | (6034) sum(n2, n2) = all_4_96
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (135), (6031), (6032) imply:
% 256.60/64.98 | | | | | | | | | (6035) sum(n2, n2) = all_4_97
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_96, n2, n2,
% 256.60/64.98 | | | | | | | | | simplifying with (30), (6034) gives:
% 256.60/64.98 | | | | | | | | | (6036) all_4_96 = n4
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n2, n2,
% 256.60/64.98 | | | | | | | | | simplifying with (6034), (6035) gives:
% 256.60/64.98 | | | | | | | | | (6037) all_4_96 = all_4_97
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6036), (6037) imply:
% 256.60/64.98 | | | | | | | | | (6038) all_4_97 = n4
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (234), (6036) imply:
% 256.60/64.98 | | | | | | | | | (6039) pred(n4) = all_4_60
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (233), (6038) imply:
% 256.60/64.98 | | | | | | | | | (6040) pred(n4) = all_4_63
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (203), (6036) imply:
% 256.60/64.98 | | | | | | | | | (6041) succ(n4) = all_4_62
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (202), (6038) imply:
% 256.60/64.98 | | | | | | | | | (6042) succ(n4) = all_4_59
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_59, n4,
% 256.60/64.98 | | | | | | | | | simplifying with (191), (6042) gives:
% 256.60/64.98 | | | | | | | | | (6043) all_4_59 = n5
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n4,
% 256.60/64.98 | | | | | | | | | simplifying with (6041), (6042) gives:
% 256.60/64.98 | | | | | | | | | (6044) all_4_59 = all_4_62
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_60, n4,
% 256.60/64.98 | | | | | | | | | simplifying with (222), (6039) gives:
% 256.60/64.98 | | | | | | | | | (6045) all_4_60 = n3
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n4,
% 256.60/64.98 | | | | | | | | | simplifying with (6039), (6040) gives:
% 256.60/64.98 | | | | | | | | | (6046) all_4_60 = all_4_63
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6043), (6044) imply:
% 256.60/64.98 | | | | | | | | | (6047) all_4_62 = n5
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | SIMP: (6047) implies:
% 256.60/64.98 | | | | | | | | | (6048) all_4_62 = n5
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | COMBINE_EQS: (6045), (6046) imply:
% 256.60/64.98 | | | | | | | | | (6049) all_4_63 = n3
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (143), (6043), (6045) imply:
% 256.60/64.98 | | | | | | | | | (6050) sum(n3, n5) = all_4_58
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (142), (6045), (6048) imply:
% 256.60/64.98 | | | | | | | | | (6051) sum(n3, n5) = all_4_56
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (140), (6043), (6049) imply:
% 256.60/64.98 | | | | | | | | | (6052) sum(n3, n5) = all_4_57
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | REDUCE: (139), (6048), (6049) imply:
% 256.60/64.98 | | | | | | | | | (6053) sum(n3, n5) = all_4_61
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_58, n5, n3,
% 256.60/64.98 | | | | | | | | | simplifying with (44), (6050) gives:
% 256.60/64.98 | | | | | | | | | (6054) all_4_58 = n8
% 256.60/64.98 | | | | | | | | |
% 256.60/64.98 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n5, n3,
% 256.60/64.98 | | | | | | | | | simplifying with (6050), (6052) gives:
% 256.60/64.98 | | | | | | | | | (6055) all_4_57 = all_4_58
% 256.60/64.98 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n5, n3,
% 256.60/64.99 | | | | | | | | | simplifying with (6051), (6052) gives:
% 256.60/64.99 | | | | | | | | | (6056) all_4_56 = all_4_57
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n5, n3,
% 256.60/64.99 | | | | | | | | | simplifying with (6051), (6053) gives:
% 256.60/64.99 | | | | | | | | | (6057) all_4_56 = all_4_61
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6056), (6057) imply:
% 256.60/64.99 | | | | | | | | | (6058) all_4_57 = all_4_61
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6058) implies:
% 256.60/64.99 | | | | | | | | | (6059) all_4_57 = all_4_61
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6055), (6059) imply:
% 256.60/64.99 | | | | | | | | | (6060) all_4_58 = all_4_61
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6060) implies:
% 256.60/64.99 | | | | | | | | | (6061) all_4_58 = all_4_61
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6054), (6061) imply:
% 256.60/64.99 | | | | | | | | | (6062) all_4_61 = n8
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6059), (6062) imply:
% 256.60/64.99 | | | | | | | | | (6063) all_4_57 = n8
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6057), (6062) imply:
% 256.60/64.99 | | | | | | | | | (6064) all_4_56 = n8
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (144), (6063), (6064) imply:
% 256.60/64.99 | | | | | | | | | (6065) sum(n8, n8) = all_4_94
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (141), (6054), (6062) imply:
% 256.60/64.99 | | | | | | | | | (6066) sum(n8, n8) = all_4_95
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_94, n8, n8,
% 256.60/64.99 | | | | | | | | | simplifying with (102), (6065) gives:
% 256.60/64.99 | | | | | | | | | (6067) all_4_94 = n5
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n8, n8,
% 256.60/64.99 | | | | | | | | | simplifying with (6065), (6066) gives:
% 256.60/64.99 | | | | | | | | | (6068) all_4_94 = all_4_95
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6067), (6068) imply:
% 256.60/64.99 | | | | | | | | | (6069) all_4_95 = n5
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (236), (6067) imply:
% 256.60/64.99 | | | | | | | | | (6070) pred(n5) = all_4_52
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (235), (6069) imply:
% 256.60/64.99 | | | | | | | | | (6071) pred(n5) = all_4_55
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (205), (6067) imply:
% 256.60/64.99 | | | | | | | | | (6072) succ(n5) = all_4_54
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (204), (6069) imply:
% 256.60/64.99 | | | | | | | | | (6073) succ(n5) = all_4_51
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_51, n5,
% 256.60/64.99 | | | | | | | | | simplifying with (192), (6073) gives:
% 256.60/64.99 | | | | | | | | | (6074) all_4_51 = n6
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n5,
% 256.60/64.99 | | | | | | | | | simplifying with (6072), (6073) gives:
% 256.60/64.99 | | | | | | | | | (6075) all_4_51 = all_4_54
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_52, n5,
% 256.60/64.99 | | | | | | | | | simplifying with (223), (6070) gives:
% 256.60/64.99 | | | | | | | | | (6076) all_4_52 = n4
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n5,
% 256.60/64.99 | | | | | | | | | simplifying with (6070), (6071) gives:
% 256.60/64.99 | | | | | | | | | (6077) all_4_52 = all_4_55
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6074), (6075) imply:
% 256.60/64.99 | | | | | | | | | (6078) all_4_54 = n6
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6078) implies:
% 256.60/64.99 | | | | | | | | | (6079) all_4_54 = n6
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6076), (6077) imply:
% 256.60/64.99 | | | | | | | | | (6080) all_4_55 = n4
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (149), (6074), (6076) imply:
% 256.60/64.99 | | | | | | | | | (6081) sum(n4, n6) = all_4_50
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (148), (6076), (6079) imply:
% 256.60/64.99 | | | | | | | | | (6082) sum(n4, n6) = all_4_48
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (146), (6074), (6080) imply:
% 256.60/64.99 | | | | | | | | | (6083) sum(n4, n6) = all_4_49
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (145), (6079), (6080) imply:
% 256.60/64.99 | | | | | | | | | (6084) sum(n4, n6) = all_4_53
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_50, n6, n4,
% 256.60/64.99 | | | | | | | | | simplifying with (56), (6081) gives:
% 256.60/64.99 | | | | | | | | | (6085) all_4_50 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n6, n4,
% 256.60/64.99 | | | | | | | | | simplifying with (6081), (6083) gives:
% 256.60/64.99 | | | | | | | | | (6086) all_4_49 = all_4_50
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n6, n4,
% 256.60/64.99 | | | | | | | | | simplifying with (6082), (6083) gives:
% 256.60/64.99 | | | | | | | | | (6087) all_4_48 = all_4_49
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n6, n4,
% 256.60/64.99 | | | | | | | | | simplifying with (6082), (6084) gives:
% 256.60/64.99 | | | | | | | | | (6088) all_4_48 = all_4_53
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6087), (6088) imply:
% 256.60/64.99 | | | | | | | | | (6089) all_4_49 = all_4_53
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6089) implies:
% 256.60/64.99 | | | | | | | | | (6090) all_4_49 = all_4_53
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6086), (6090) imply:
% 256.60/64.99 | | | | | | | | | (6091) all_4_50 = all_4_53
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6091) implies:
% 256.60/64.99 | | | | | | | | | (6092) all_4_50 = all_4_53
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6085), (6092) imply:
% 256.60/64.99 | | | | | | | | | (6093) all_4_53 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6090), (6093) imply:
% 256.60/64.99 | | | | | | | | | (6094) all_4_49 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6088), (6093) imply:
% 256.60/64.99 | | | | | | | | | (6095) all_4_48 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (150), (6094), (6095) imply:
% 256.60/64.99 | | | | | | | | | (6096) sum(n10, n10) = all_4_92
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (147), (6085), (6093) imply:
% 256.60/64.99 | | | | | | | | | (6097) sum(n10, n10) = all_4_93
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_92, n10, n10,
% 256.60/64.99 | | | | | | | | | simplifying with (126), (6096) gives:
% 256.60/64.99 | | | | | | | | | (6098) all_4_92 = n9
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n10,
% 256.60/64.99 | | | | | | | | | n10, simplifying with (6096), (6097) gives:
% 256.60/64.99 | | | | | | | | | (6099) all_4_92 = all_4_93
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6098), (6099) imply:
% 256.60/64.99 | | | | | | | | | (6100) all_4_93 = n9
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6100) implies:
% 256.60/64.99 | | | | | | | | | (6101) all_4_93 = n9
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (238), (6098) imply:
% 256.60/64.99 | | | | | | | | | (6102) pred(n9) = all_4_44
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (237), (6101) imply:
% 256.60/64.99 | | | | | | | | | (6103) pred(n9) = all_4_47
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (207), (6098) imply:
% 256.60/64.99 | | | | | | | | | (6104) succ(n9) = all_4_46
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (206), (6101) imply:
% 256.60/64.99 | | | | | | | | | (6105) succ(n9) = all_4_43
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_43, n9,
% 256.60/64.99 | | | | | | | | | simplifying with (196), (6105) gives:
% 256.60/64.99 | | | | | | | | | (6106) all_4_43 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n9,
% 256.60/64.99 | | | | | | | | | simplifying with (6104), (6105) gives:
% 256.60/64.99 | | | | | | | | | (6107) all_4_43 = all_4_46
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_44, n9,
% 256.60/64.99 | | | | | | | | | simplifying with (227), (6102) gives:
% 256.60/64.99 | | | | | | | | | (6108) all_4_44 = n8
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n9,
% 256.60/64.99 | | | | | | | | | simplifying with (6102), (6103) gives:
% 256.60/64.99 | | | | | | | | | (6109) all_4_44 = all_4_47
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6106), (6107) imply:
% 256.60/64.99 | | | | | | | | | (6110) all_4_46 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6110) implies:
% 256.60/64.99 | | | | | | | | | (6111) all_4_46 = n10
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6108), (6109) imply:
% 256.60/64.99 | | | | | | | | | (6112) all_4_47 = n8
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (155), (6106), (6108) imply:
% 256.60/64.99 | | | | | | | | | (6113) sum(n8, n10) = all_4_42
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (154), (6108), (6111) imply:
% 256.60/64.99 | | | | | | | | | (6114) sum(n8, n10) = all_4_40
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (152), (6106), (6112) imply:
% 256.60/64.99 | | | | | | | | | (6115) sum(n8, n10) = all_4_41
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (151), (6111), (6112) imply:
% 256.60/64.99 | | | | | | | | | (6116) sum(n8, n10) = all_4_45
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_42, n10, n8,
% 256.60/64.99 | | | | | | | | | simplifying with (104), (6113) gives:
% 256.60/64.99 | | | | | | | | | (6117) all_4_42 = n7
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n10,
% 256.60/64.99 | | | | | | | | | n8, simplifying with (6113), (6115) gives:
% 256.60/64.99 | | | | | | | | | (6118) all_4_41 = all_4_42
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n10,
% 256.60/64.99 | | | | | | | | | n8, simplifying with (6114), (6115) gives:
% 256.60/64.99 | | | | | | | | | (6119) all_4_40 = all_4_41
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n10,
% 256.60/64.99 | | | | | | | | | n8, simplifying with (6114), (6116) gives:
% 256.60/64.99 | | | | | | | | | (6120) all_4_40 = all_4_45
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6119), (6120) imply:
% 256.60/64.99 | | | | | | | | | (6121) all_4_41 = all_4_45
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6121) implies:
% 256.60/64.99 | | | | | | | | | (6122) all_4_41 = all_4_45
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6118), (6122) imply:
% 256.60/64.99 | | | | | | | | | (6123) all_4_42 = all_4_45
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6123) implies:
% 256.60/64.99 | | | | | | | | | (6124) all_4_42 = all_4_45
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6117), (6124) imply:
% 256.60/64.99 | | | | | | | | | (6125) all_4_45 = n7
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6122), (6125) imply:
% 256.60/64.99 | | | | | | | | | (6126) all_4_41 = n7
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6120), (6125) imply:
% 256.60/64.99 | | | | | | | | | (6127) all_4_40 = n7
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (156), (6126), (6127) imply:
% 256.60/64.99 | | | | | | | | | (6128) sum(n7, n7) = all_4_90
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (153), (6117), (6125) imply:
% 256.60/64.99 | | | | | | | | | (6129) sum(n7, n7) = all_4_91
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_90, n7, n7,
% 256.60/64.99 | | | | | | | | | simplifying with (90), (6128) gives:
% 256.60/64.99 | | | | | | | | | (6130) all_4_90 = n3
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n7, n7,
% 256.60/64.99 | | | | | | | | | simplifying with (6128), (6129) gives:
% 256.60/64.99 | | | | | | | | | (6131) all_4_90 = all_4_91
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6130), (6131) imply:
% 256.60/64.99 | | | | | | | | | (6132) all_4_91 = n3
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (240), (6130) imply:
% 256.60/64.99 | | | | | | | | | (6133) pred(n3) = all_4_36
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (239), (6132) imply:
% 256.60/64.99 | | | | | | | | | (6134) pred(n3) = all_4_39
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (209), (6130) imply:
% 256.60/64.99 | | | | | | | | | (6135) succ(n3) = all_4_38
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (208), (6132) imply:
% 256.60/64.99 | | | | | | | | | (6136) succ(n3) = all_4_35
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_35, n3,
% 256.60/64.99 | | | | | | | | | simplifying with (190), (6136) gives:
% 256.60/64.99 | | | | | | | | | (6137) all_4_35 = n4
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n3,
% 256.60/64.99 | | | | | | | | | simplifying with (6135), (6136) gives:
% 256.60/64.99 | | | | | | | | | (6138) all_4_35 = all_4_38
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_36, n3,
% 256.60/64.99 | | | | | | | | | simplifying with (221), (6133) gives:
% 256.60/64.99 | | | | | | | | | (6139) all_4_36 = n2
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n3,
% 256.60/64.99 | | | | | | | | | simplifying with (6133), (6134) gives:
% 256.60/64.99 | | | | | | | | | (6140) all_4_36 = all_4_39
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6137), (6138) imply:
% 256.60/64.99 | | | | | | | | | (6141) all_4_38 = n4
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | SIMP: (6141) implies:
% 256.60/64.99 | | | | | | | | | (6142) all_4_38 = n4
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | COMBINE_EQS: (6139), (6140) imply:
% 256.60/64.99 | | | | | | | | | (6143) all_4_39 = n2
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (161), (6137), (6139) imply:
% 256.60/64.99 | | | | | | | | | (6144) sum(n2, n4) = all_4_34
% 256.60/64.99 | | | | | | | | |
% 256.60/64.99 | | | | | | | | | REDUCE: (160), (6139), (6142) imply:
% 256.80/64.99 | | | | | | | | | (6145) sum(n2, n4) = all_4_32
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (158), (6137), (6143) imply:
% 256.80/64.99 | | | | | | | | | (6146) sum(n2, n4) = all_4_33
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (157), (6142), (6143) imply:
% 256.80/64.99 | | | | | | | | | (6147) sum(n2, n4) = all_4_37
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_34, n4, n2,
% 256.80/64.99 | | | | | | | | | simplifying with (32), (6144) gives:
% 256.80/64.99 | | | | | | | | | (6148) all_4_34 = n6
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n4, n2,
% 256.80/64.99 | | | | | | | | | simplifying with (6144), (6146) gives:
% 256.80/64.99 | | | | | | | | | (6149) all_4_33 = all_4_34
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n4, n2,
% 256.80/64.99 | | | | | | | | | simplifying with (6145), (6146) gives:
% 256.80/64.99 | | | | | | | | | (6150) all_4_32 = all_4_33
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n4, n2,
% 256.80/64.99 | | | | | | | | | simplifying with (6145), (6147) gives:
% 256.80/64.99 | | | | | | | | | (6151) all_4_32 = all_4_37
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | COMBINE_EQS: (6150), (6151) imply:
% 256.80/64.99 | | | | | | | | | (6152) all_4_33 = all_4_37
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | SIMP: (6152) implies:
% 256.80/64.99 | | | | | | | | | (6153) all_4_33 = all_4_37
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | COMBINE_EQS: (6149), (6153) imply:
% 256.80/64.99 | | | | | | | | | (6154) all_4_34 = all_4_37
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | SIMP: (6154) implies:
% 256.80/64.99 | | | | | | | | | (6155) all_4_34 = all_4_37
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | COMBINE_EQS: (6148), (6155) imply:
% 256.80/64.99 | | | | | | | | | (6156) all_4_37 = n6
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | COMBINE_EQS: (6153), (6156) imply:
% 256.80/64.99 | | | | | | | | | (6157) all_4_33 = n6
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | COMBINE_EQS: (6151), (6156) imply:
% 256.80/64.99 | | | | | | | | | (6158) all_4_32 = n6
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (162), (6157), (6158) imply:
% 256.80/64.99 | | | | | | | | | (6159) sum(n6, n6) = all_4_88
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (159), (6148), (6156) imply:
% 256.80/64.99 | | | | | | | | | (6160) sum(n6, n6) = all_4_89
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_88, n6, n6,
% 256.80/64.99 | | | | | | | | | simplifying with (78), (6159) gives:
% 256.80/64.99 | | | | | | | | | (6161) all_4_88 = n1
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n6, n6,
% 256.80/64.99 | | | | | | | | | simplifying with (6159), (6160) gives:
% 256.80/64.99 | | | | | | | | | (6162) all_4_88 = all_4_89
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | COMBINE_EQS: (6161), (6162) imply:
% 256.80/64.99 | | | | | | | | | (6163) all_4_89 = n1
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (242), (6161) imply:
% 256.80/64.99 | | | | | | | | | (6164) pred(n1) = all_4_28
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (241), (6163) imply:
% 256.80/64.99 | | | | | | | | | (6165) pred(n1) = all_4_31
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (211), (6161) imply:
% 256.80/64.99 | | | | | | | | | (6166) succ(n1) = all_4_30
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | REDUCE: (210), (6163) imply:
% 256.80/64.99 | | | | | | | | | (6167) succ(n1) = all_4_27
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | BETA: splitting (5993) gives:
% 256.80/64.99 | | | | | | | | |
% 256.80/64.99 | | | | | | | | | Case 1:
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | | (6168) ~ (all_4_86 = all_4_87)
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_27, n1,
% 256.80/64.99 | | | | | | | | | | simplifying with (188), (6167) gives:
% 256.80/64.99 | | | | | | | | | | (6169) all_4_27 = n2
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (163), (164), (165),
% 256.80/64.99 | | | | | | | | | | (166), (167), (168), (219), (6164), (6165),
% 256.80/64.99 | | | | | | | | | | (6166), (6167), (6168), (6169) are inconsistent by
% 256.80/64.99 | | | | | | | | | | sub-proof #156.
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | Case 2:
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | | (6170) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 256.80/64.99 | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 256.80/64.99 | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 256.80/64.99 | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (157), (158), (159),
% 256.80/64.99 | | | | | | | | | | (160), (161), (162), (190), (221), (6007), (6008),
% 256.80/64.99 | | | | | | | | | | (6036), (6038), (6067), (6069), (6098), (6101),
% 256.80/64.99 | | | | | | | | | | (6130), (6132), (6133), (6134), (6135), (6136),
% 256.80/64.99 | | | | | | | | | | (6170) are inconsistent by sub-proof #91.
% 256.80/64.99 | | | | | | | | | |
% 256.80/64.99 | | | | | | | | | End of split
% 256.80/64.99 | | | | | | | | |
% 256.80/65.00 | | | | | | | | Case 2:
% 256.80/65.00 | | | | | | | | |
% 256.80/65.00 | | | | | | | | | (6171) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 256.80/65.00 | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.80/65.00 | | | | | | | | | all_4_101 = n0
% 256.80/65.00 | | | | | | | | |
% 256.80/65.00 | | | | | | | | | BETA: splitting (5993) gives:
% 256.80/65.00 | | | | | | | | |
% 256.80/65.00 | | | | | | | | | Case 1:
% 256.80/65.00 | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | (6172) ~ (all_4_86 = all_4_87)
% 256.80/65.00 | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | BETA: splitting (6171) gives:
% 256.80/65.00 | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | Case 1:
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | (6173) all_4_101 = n6
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (229), (6173) imply:
% 256.80/65.00 | | | | | | | | | | | (6174) pred(n6) = all_4_79
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (198), (6173) imply:
% 256.80/65.00 | | | | | | | | | | | (6175) succ(n6) = all_4_75
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 256.80/65.00 | | | | | | | | | | | simplifying with (193), (6175) gives:
% 256.80/65.00 | | | | | | | | | | | (6176) all_4_75 = n7
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 256.80/65.00 | | | | | | | | | | | simplifying with (224), (6174) gives:
% 256.80/65.00 | | | | | | | | | | | (6177) all_4_79 = n5
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (128), (6176), (6177) imply:
% 256.80/65.00 | | | | | | | | | | | (6178) sum(n5, n7) = all_4_73
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (5265), (6177) imply:
% 256.80/65.00 | | | | | | | | | | | (6179) sum(n5, n0) = all_4_77
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (5263), (6176) imply:
% 256.80/65.00 | | | | | | | | | | | (6180) sum(n9, n7) = all_4_74
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n0, n5,
% 256.80/65.00 | | | | | | | | | | | simplifying with (61), (6179) gives:
% 256.80/65.00 | | | | | | | | | | | (6181) all_4_77 = n5
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 256.80/65.00 | | | | | | | | | | | simplifying with (68), (6178) gives:
% 256.80/65.00 | | | | | | | | | | | (6182) all_4_73 = n1
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n7, n9,
% 256.80/65.00 | | | | | | | | | | | simplifying with (112), (6180) gives:
% 256.80/65.00 | | | | | | | | | | | (6183) all_4_74 = n5
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (5267), (6182) imply:
% 256.80/65.00 | | | | | | | | | | | (6184) sum(n1, n9) = all_4_98
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REDUCE: (129), (6181), (6183) imply:
% 256.80/65.00 | | | | | | | | | | | (6185) sum(n5, n5) = all_4_99
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n9, n1,
% 256.80/65.00 | | | | | | | | | | | simplifying with (26), (6184) gives:
% 256.80/65.00 | | | | | | | | | | | (6186) all_4_98 = n10
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.80/65.00 | | | | | | | | | | | simplifying with (66), (6185) gives:
% 256.80/65.00 | | | | | | | | | | | (6187) all_4_99 = n10
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 256.80/65.00 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.00 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.00 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.00 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.00 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.00 | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 256.80/65.00 | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 256.80/65.00 | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.80/65.00 | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 256.80/65.00 | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.80/65.00 | | | | | | | | | | | (240), (241), (242), (6172), (6185), (6186),
% 256.80/65.00 | | | | | | | | | | | (6187) are inconsistent by sub-proof #154.
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | Case 2:
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | (6188) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 256.80/65.00 | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | BETA: splitting (6188) gives:
% 256.80/65.00 | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | Case 1:
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | (6189) all_4_101 = n5
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (229), (6189) imply:
% 256.80/65.00 | | | | | | | | | | | | (6190) pred(n5) = all_4_79
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (198), (6189) imply:
% 256.80/65.00 | | | | | | | | | | | | (6191) succ(n5) = all_4_75
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (192), (6191) gives:
% 256.80/65.00 | | | | | | | | | | | | (6192) all_4_75 = n6
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (223), (6190) gives:
% 256.80/65.00 | | | | | | | | | | | | (6193) all_4_79 = n4
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (128), (6192), (6193) imply:
% 256.80/65.00 | | | | | | | | | | | | (6194) sum(n4, n6) = all_4_73
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (5265), (6193) imply:
% 256.80/65.00 | | | | | | | | | | | | (6195) sum(n4, n0) = all_4_77
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (5263), (6192) imply:
% 256.80/65.00 | | | | | | | | | | | | (6196) sum(n9, n6) = all_4_74
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n0, n4,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (50), (6195) gives:
% 256.80/65.00 | | | | | | | | | | | | (6197) all_4_77 = n4
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (56), (6194) gives:
% 256.80/65.00 | | | | | | | | | | | | (6198) all_4_73 = n10
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n6, n9,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (111), (6196) gives:
% 256.80/65.00 | | | | | | | | | | | | (6199) all_4_74 = n4
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (5267), (6198) imply:
% 256.80/65.00 | | | | | | | | | | | | (6200) sum(n10, n9) = all_4_98
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REDUCE: (129), (6197), (6199) imply:
% 256.80/65.00 | | | | | | | | | | | | (6201) sum(n4, n4) = all_4_99
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (54), (6201) gives:
% 256.80/65.00 | | | | | | | | | | | | (6202) all_4_99 = n8
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n9, n10,
% 256.80/65.00 | | | | | | | | | | | | simplifying with (125), (6200) gives:
% 256.80/65.00 | | | | | | | | | | | | (6203) all_4_98 = n8
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.80/65.00 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.00 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.00 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.00 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.00 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.00 | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 256.80/65.00 | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 256.80/65.00 | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.80/65.00 | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 256.80/65.00 | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.80/65.00 | | | | | | | | | | | | (240), (241), (242), (6172), (6201), (6202),
% 256.80/65.00 | | | | | | | | | | | | (6203) are inconsistent by sub-proof #152.
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | Case 2:
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | (6204) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.80/65.00 | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | BETA: splitting (6204) gives:
% 256.80/65.00 | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | Case 1:
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | (6205) all_4_101 = n4
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (229), (6205) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6206) pred(n4) = all_4_79
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (198), (6205) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6207) succ(n4) = all_4_75
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (191), (6207) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6208) all_4_75 = n5
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (222), (6206) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6209) all_4_79 = n3
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (128), (6208), (6209) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6210) sum(n3, n5) = all_4_73
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (5265), (6209) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6211) sum(n3, n0) = all_4_77
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (5263), (6208) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6212) sum(n9, n5) = all_4_74
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (39), (6211) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6213) all_4_77 = n3
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (44), (6210) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6214) all_4_73 = n8
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (110), (6212) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6215) all_4_74 = n3
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (5267), (6214) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6216) sum(n8, n9) = all_4_98
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REDUCE: (129), (6213), (6215) imply:
% 256.80/65.00 | | | | | | | | | | | | | (6217) sum(n3, n3) = all_4_99
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (42), (6217) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6218) all_4_99 = n6
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 256.80/65.00 | | | | | | | | | | | | | simplifying with (103), (6216) gives:
% 256.80/65.00 | | | | | | | | | | | | | (6219) all_4_98 = n6
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.80/65.00 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.00 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.00 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.00 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.00 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.00 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 256.80/65.00 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 256.80/65.00 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.80/65.00 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 256.80/65.00 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.80/65.00 | | | | | | | | | | | | | (240), (241), (242), (6172), (6217), (6218),
% 256.80/65.00 | | | | | | | | | | | | | (6219) are inconsistent by sub-proof #151.
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | Case 2:
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | (6220) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.80/65.00 | | | | | | | | | | | | | all_4_101 = n0
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | BETA: splitting (6220) gives:
% 256.80/65.00 | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | Case 1:
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | (6221) all_4_101 = n3
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (229), (6221) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6222) pred(n3) = all_4_79
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (198), (6221) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6223) succ(n3) = all_4_75
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (190), (6223) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6224) all_4_75 = n4
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (221), (6222) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6225) all_4_79 = n2
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (128), (6224), (6225) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6226) sum(n2, n4) = all_4_73
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (5265), (6225) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6227) sum(n2, n0) = all_4_77
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (5263), (6224) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6228) sum(n9, n4) = all_4_74
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (28), (6227) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6229) all_4_77 = n2
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (32), (6226) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6230) all_4_73 = n6
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (109), (6228) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6231) all_4_74 = n2
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (5267), (6230) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6232) sum(n6, n9) = all_4_98
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REDUCE: (129), (6229), (6231) imply:
% 256.80/65.00 | | | | | | | | | | | | | | (6233) sum(n2, n2) = all_4_99
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (30), (6233) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6234) all_4_99 = n4
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 256.80/65.00 | | | | | | | | | | | | | | simplifying with (81), (6232) gives:
% 256.80/65.00 | | | | | | | | | | | | | | (6235) all_4_98 = n4
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.80/65.00 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.80/65.00 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.00 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.00 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.00 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.00 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 256.80/65.00 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 256.80/65.00 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.80/65.00 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 256.80/65.00 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.80/65.00 | | | | | | | | | | | | | | (240), (241), (242), (6172), (6233), (6234),
% 256.80/65.00 | | | | | | | | | | | | | | (6235) are inconsistent by sub-proof #150.
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | Case 2:
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | (6236) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | BETA: splitting (6236) gives:
% 256.80/65.00 | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | Case 1:
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | (6237) all_4_101 = n2
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | REDUCE: (229), (6237) imply:
% 256.80/65.00 | | | | | | | | | | | | | | | (6238) pred(n2) = all_4_79
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | REDUCE: (198), (6237) imply:
% 256.80/65.00 | | | | | | | | | | | | | | | (6239) succ(n2) = all_4_75
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.80/65.00 | | | | | | | | | | | | | | | simplifying with (189), (6239) gives:
% 256.80/65.00 | | | | | | | | | | | | | | | (6240) all_4_75 = n3
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.80/65.00 | | | | | | | | | | | | | | | simplifying with (220), (6238) gives:
% 256.80/65.00 | | | | | | | | | | | | | | | (6241) all_4_79 = n1
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | REDUCE: (128), (6240), (6241) imply:
% 256.80/65.00 | | | | | | | | | | | | | | | (6242) sum(n1, n3) = all_4_73
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | REDUCE: (5265), (6241) imply:
% 256.80/65.00 | | | | | | | | | | | | | | | (6243) sum(n1, n0) = all_4_77
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | REDUCE: (5263), (6240) imply:
% 256.80/65.00 | | | | | | | | | | | | | | | (6244) sum(n9, n3) = all_4_74
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 256.80/65.00 | | | | | | | | | | | | | | | simplifying with (17), (6243) gives:
% 256.80/65.00 | | | | | | | | | | | | | | | (6245) all_4_77 = n1
% 256.80/65.00 | | | | | | | | | | | | | | |
% 256.80/65.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.80/65.00 | | | | | | | | | | | | | | | simplifying with (20), (6242) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | (6246) all_4_73 = n4
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 256.80/65.01 | | | | | | | | | | | | | | | simplifying with (108), (6244) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | (6247) all_4_74 = n1
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | REDUCE: (5267), (6246) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | (6248) sum(n4, n9) = all_4_98
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | REDUCE: (129), (6245), (6247) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | (6249) sum(n1, n1) = all_4_99
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.80/65.01 | | | | | | | | | | | | | | | simplifying with (18), (6249) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | (6250) all_4_99 = n2
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 256.80/65.01 | | | | | | | | | | | | | | | simplifying with (59), (6248) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | (6251) all_4_98 = n2
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 256.80/65.01 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.01 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.01 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.01 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.01 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.01 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 256.80/65.01 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 256.80/65.01 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.80/65.01 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 256.80/65.01 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.80/65.01 | | | | | | | | | | | | | | | (240), (241), (242), (6172), (6249), (6250),
% 256.80/65.01 | | | | | | | | | | | | | | | (6251) are inconsistent by sub-proof #149.
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | Case 2:
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | (6252) all_4_101 = n1 | all_4_101 = n0
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | BETA: splitting (6252) gives:
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | Case 1:
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | (6253) all_4_101 = n1
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (229), (6253) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6254) pred(n1) = all_4_79
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (198), (6253) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6255) succ(n1) = all_4_75
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (188), (6255) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6256) all_4_75 = n2
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (219), (6254) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6257) all_4_79 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (128), (6256), (6257) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6258) sum(n0, n2) = all_4_73
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (5265), (6257) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6259) sum(n0, n0) = all_4_77
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (5263), (6256) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6260) sum(n9, n2) = all_4_74
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (6), (6259) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6261) all_4_77 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (8), (6258) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6262) all_4_73 = n2
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (107), (6260) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6263) all_4_74 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (5267), (6262) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6264) sum(n2, n9) = all_4_98
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (129), (6261), (6263) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6265) sum(n0, n0) = all_4_99
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (6), (6265) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6266) all_4_99 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (37), (6264) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6267) all_4_98 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.80/65.01 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.01 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.01 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.01 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.01 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 256.80/65.01 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 256.80/65.01 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 256.80/65.01 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 256.80/65.01 | | | | | | | | | | | | | | | | (241), (242), (6172), (6265), (6266), (6267) are
% 256.80/65.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | Case 2:
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | (6268) all_4_101 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (229), (6268) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6269) pred(n0) = all_4_79
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (198), (6268) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6270) succ(n0) = all_4_75
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (187), (6270) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6271) all_4_75 = n1
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (218), (6269) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6272) all_4_79 = n10
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (128), (6271), (6272) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6273) sum(n10, n1) = all_4_73
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (5265), (6272) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6274) sum(n10, n0) = all_4_77
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (5263), (6271) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6275) sum(n9, n1) = all_4_74
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (106), (6275) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6276) all_4_74 = n10
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (116), (6274) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6277) all_4_77 = n10
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (117), (6273) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6278) all_4_73 = n0
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (5267), (6278) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6279) sum(n0, n9) = all_4_98
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REDUCE: (129), (6276), (6277) imply:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6280) sum(n10, n10) = all_4_99
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (15), (6279) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6281) all_4_98 = n9
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 256.80/65.01 | | | | | | | | | | | | | | | | simplifying with (126), (6280) gives:
% 256.80/65.01 | | | | | | | | | | | | | | | | (6282) all_4_99 = n9
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.80/65.01 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 256.80/65.01 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.01 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.01 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.01 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 256.80/65.01 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 256.80/65.01 | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 256.80/65.01 | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 256.80/65.01 | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 256.80/65.01 | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 256.80/65.01 | | | | | | | | | | | | | | | | (240), (241), (242), (6172), (6280), (6281),
% 256.80/65.01 | | | | | | | | | | | | | | | | (6282) are inconsistent by sub-proof #146.
% 256.80/65.01 | | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | | End of split
% 256.80/65.01 | | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | | End of split
% 256.80/65.01 | | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | | End of split
% 256.80/65.01 | | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | | End of split
% 256.80/65.01 | | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | End of split
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | End of split
% 256.80/65.01 | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | Case 2:
% 256.80/65.01 | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | (6283) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 256.80/65.01 | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 256.80/65.01 | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 256.80/65.01 | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 256.80/65.01 | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | BETA: splitting (6171) gives:
% 256.80/65.01 | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | Case 1:
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | (6284) all_4_101 = n6
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (229), (6284) imply:
% 256.80/65.01 | | | | | | | | | | | (6285) pred(n6) = all_4_79
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (198), (6284) imply:
% 256.80/65.01 | | | | | | | | | | | (6286) succ(n6) = all_4_75
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 256.80/65.01 | | | | | | | | | | | simplifying with (193), (6286) gives:
% 256.80/65.01 | | | | | | | | | | | (6287) all_4_75 = n7
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 256.80/65.01 | | | | | | | | | | | simplifying with (224), (6285) gives:
% 256.80/65.01 | | | | | | | | | | | (6288) all_4_79 = n5
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (128), (6287), (6288) imply:
% 256.80/65.01 | | | | | | | | | | | (6289) sum(n5, n7) = all_4_73
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (5265), (6288) imply:
% 256.80/65.01 | | | | | | | | | | | (6290) sum(n5, n0) = all_4_77
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (5263), (6287) imply:
% 256.80/65.01 | | | | | | | | | | | (6291) sum(n9, n7) = all_4_74
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n0, n5,
% 256.80/65.01 | | | | | | | | | | | simplifying with (61), (6290) gives:
% 256.80/65.01 | | | | | | | | | | | (6292) all_4_77 = n5
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 256.80/65.01 | | | | | | | | | | | simplifying with (68), (6289) gives:
% 256.80/65.01 | | | | | | | | | | | (6293) all_4_73 = n1
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n7, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (112), (6291) gives:
% 256.80/65.01 | | | | | | | | | | | (6294) all_4_74 = n5
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (5267), (6293) imply:
% 256.80/65.01 | | | | | | | | | | | (6295) sum(n1, n9) = all_4_98
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (129), (6292), (6294) imply:
% 256.80/65.01 | | | | | | | | | | | (6296) sum(n5, n5) = all_4_99
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n9, n1,
% 256.80/65.01 | | | | | | | | | | | simplifying with (26), (6295) gives:
% 256.80/65.01 | | | | | | | | | | | (6297) all_4_98 = n10
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 256.80/65.01 | | | | | | | | | | | simplifying with (66), (6296) gives:
% 256.80/65.01 | | | | | | | | | | | (6298) all_4_99 = n10
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (232), (6297) imply:
% 256.80/65.01 | | | | | | | | | | | (6299) pred(n10) = all_4_68
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (231), (6298) imply:
% 256.80/65.01 | | | | | | | | | | | (6300) pred(n10) = all_4_71
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (201), (6297) imply:
% 256.80/65.01 | | | | | | | | | | | (6301) succ(n10) = all_4_70
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (200), (6298) imply:
% 256.80/65.01 | | | | | | | | | | | (6302) succ(n10) = all_4_67
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_67, n10,
% 256.80/65.01 | | | | | | | | | | | simplifying with (197), (6302) gives:
% 256.80/65.01 | | | | | | | | | | | (6303) all_4_67 = n0
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n10,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6301), (6302) gives:
% 256.80/65.01 | | | | | | | | | | | (6304) all_4_67 = all_4_70
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_68, n10,
% 256.80/65.01 | | | | | | | | | | | simplifying with (228), (6299) gives:
% 256.80/65.01 | | | | | | | | | | | (6305) all_4_68 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n10,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6299), (6300) gives:
% 256.80/65.01 | | | | | | | | | | | (6306) all_4_68 = all_4_71
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6303), (6304) imply:
% 256.80/65.01 | | | | | | | | | | | (6307) all_4_70 = n0
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | SIMP: (6307) implies:
% 256.80/65.01 | | | | | | | | | | | (6308) all_4_70 = n0
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6305), (6306) imply:
% 256.80/65.01 | | | | | | | | | | | (6309) all_4_71 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (137), (6303), (6305) imply:
% 256.80/65.01 | | | | | | | | | | | (6310) sum(n9, n0) = all_4_66
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (136), (6305), (6308) imply:
% 256.80/65.01 | | | | | | | | | | | (6311) sum(n9, n0) = all_4_64
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (134), (6303), (6309) imply:
% 256.80/65.01 | | | | | | | | | | | (6312) sum(n9, n0) = all_4_65
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (133), (6308), (6309) imply:
% 256.80/65.01 | | | | | | | | | | | (6313) sum(n9, n0) = all_4_69
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_65, n0, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (105), (6312) gives:
% 256.80/65.01 | | | | | | | | | | | (6314) all_4_65 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n0, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6310), (6312) gives:
% 256.80/65.01 | | | | | | | | | | | (6315) all_4_65 = all_4_66
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n0, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6310), (6311) gives:
% 256.80/65.01 | | | | | | | | | | | (6316) all_4_64 = all_4_66
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n0, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6311), (6313) gives:
% 256.80/65.01 | | | | | | | | | | | (6317) all_4_64 = all_4_69
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6316), (6317) imply:
% 256.80/65.01 | | | | | | | | | | | (6318) all_4_66 = all_4_69
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | SIMP: (6318) implies:
% 256.80/65.01 | | | | | | | | | | | (6319) all_4_66 = all_4_69
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6314), (6315) imply:
% 256.80/65.01 | | | | | | | | | | | (6320) all_4_66 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | SIMP: (6320) implies:
% 256.80/65.01 | | | | | | | | | | | (6321) all_4_66 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6319), (6321) imply:
% 256.80/65.01 | | | | | | | | | | | (6322) all_4_69 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6317), (6322) imply:
% 256.80/65.01 | | | | | | | | | | | (6323) all_4_64 = n9
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (138), (6314), (6323) imply:
% 256.80/65.01 | | | | | | | | | | | (6324) sum(n9, n9) = all_4_96
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (135), (6321), (6322) imply:
% 256.80/65.01 | | | | | | | | | | | (6325) sum(n9, n9) = all_4_97
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_96, n9, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (114), (6324) gives:
% 256.80/65.01 | | | | | | | | | | | (6326) all_4_96 = n7
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n9, n9,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6324), (6325) gives:
% 256.80/65.01 | | | | | | | | | | | (6327) all_4_96 = all_4_97
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6326), (6327) imply:
% 256.80/65.01 | | | | | | | | | | | (6328) all_4_97 = n7
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (234), (6326) imply:
% 256.80/65.01 | | | | | | | | | | | (6329) pred(n7) = all_4_60
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (233), (6328) imply:
% 256.80/65.01 | | | | | | | | | | | (6330) pred(n7) = all_4_63
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (203), (6326) imply:
% 256.80/65.01 | | | | | | | | | | | (6331) succ(n7) = all_4_62
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (202), (6328) imply:
% 256.80/65.01 | | | | | | | | | | | (6332) succ(n7) = all_4_59
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_59, n7,
% 256.80/65.01 | | | | | | | | | | | simplifying with (194), (6332) gives:
% 256.80/65.01 | | | | | | | | | | | (6333) all_4_59 = n8
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n7,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6331), (6332) gives:
% 256.80/65.01 | | | | | | | | | | | (6334) all_4_59 = all_4_62
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_60, n7,
% 256.80/65.01 | | | | | | | | | | | simplifying with (225), (6329) gives:
% 256.80/65.01 | | | | | | | | | | | (6335) all_4_60 = n6
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n7,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6329), (6330) gives:
% 256.80/65.01 | | | | | | | | | | | (6336) all_4_60 = all_4_63
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6333), (6334) imply:
% 256.80/65.01 | | | | | | | | | | | (6337) all_4_62 = n8
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | SIMP: (6337) implies:
% 256.80/65.01 | | | | | | | | | | | (6338) all_4_62 = n8
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | COMBINE_EQS: (6335), (6336) imply:
% 256.80/65.01 | | | | | | | | | | | (6339) all_4_63 = n6
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (143), (6333), (6335) imply:
% 256.80/65.01 | | | | | | | | | | | (6340) sum(n6, n8) = all_4_58
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (142), (6335), (6338) imply:
% 256.80/65.01 | | | | | | | | | | | (6341) sum(n6, n8) = all_4_56
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (140), (6333), (6339) imply:
% 256.80/65.01 | | | | | | | | | | | (6342) sum(n6, n8) = all_4_57
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | REDUCE: (139), (6338), (6339) imply:
% 256.80/65.01 | | | | | | | | | | | (6343) sum(n6, n8) = all_4_61
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_58, n8, n6,
% 256.80/65.01 | | | | | | | | | | | simplifying with (80), (6340) gives:
% 256.80/65.01 | | | | | | | | | | | (6344) all_4_58 = n3
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n8, n6,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6340), (6342) gives:
% 256.80/65.01 | | | | | | | | | | | (6345) all_4_57 = all_4_58
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n8, n6,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6341), (6342) gives:
% 256.80/65.01 | | | | | | | | | | | (6346) all_4_56 = all_4_57
% 256.80/65.01 | | | | | | | | | | |
% 256.80/65.01 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n8, n6,
% 256.80/65.01 | | | | | | | | | | | simplifying with (6341), (6343) gives:
% 256.80/65.02 | | | | | | | | | | | (6347) all_4_56 = all_4_61
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6346), (6347) imply:
% 256.80/65.02 | | | | | | | | | | | (6348) all_4_57 = all_4_61
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6348) implies:
% 256.80/65.02 | | | | | | | | | | | (6349) all_4_57 = all_4_61
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6345), (6349) imply:
% 256.80/65.02 | | | | | | | | | | | (6350) all_4_58 = all_4_61
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6350) implies:
% 256.80/65.02 | | | | | | | | | | | (6351) all_4_58 = all_4_61
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6344), (6351) imply:
% 256.80/65.02 | | | | | | | | | | | (6352) all_4_61 = n3
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6349), (6352) imply:
% 256.80/65.02 | | | | | | | | | | | (6353) all_4_57 = n3
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6347), (6352) imply:
% 256.80/65.02 | | | | | | | | | | | (6354) all_4_56 = n3
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (144), (6353), (6354) imply:
% 256.80/65.02 | | | | | | | | | | | (6355) sum(n3, n3) = all_4_94
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (141), (6344), (6352) imply:
% 256.80/65.02 | | | | | | | | | | | (6356) sum(n3, n3) = all_4_95
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_94, n3, n3,
% 256.80/65.02 | | | | | | | | | | | simplifying with (42), (6355) gives:
% 256.80/65.02 | | | | | | | | | | | (6357) all_4_94 = n6
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n3, n3,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6355), (6356) gives:
% 256.80/65.02 | | | | | | | | | | | (6358) all_4_94 = all_4_95
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6357), (6358) imply:
% 256.80/65.02 | | | | | | | | | | | (6359) all_4_95 = n6
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (236), (6357) imply:
% 256.80/65.02 | | | | | | | | | | | (6360) pred(n6) = all_4_52
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (235), (6359) imply:
% 256.80/65.02 | | | | | | | | | | | (6361) pred(n6) = all_4_55
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (205), (6357) imply:
% 256.80/65.02 | | | | | | | | | | | (6362) succ(n6) = all_4_54
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (204), (6359) imply:
% 256.80/65.02 | | | | | | | | | | | (6363) succ(n6) = all_4_51
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_51, n6,
% 256.80/65.02 | | | | | | | | | | | simplifying with (193), (6363) gives:
% 256.80/65.02 | | | | | | | | | | | (6364) all_4_51 = n7
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n6,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6362), (6363) gives:
% 256.80/65.02 | | | | | | | | | | | (6365) all_4_51 = all_4_54
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_52, n6,
% 256.80/65.02 | | | | | | | | | | | simplifying with (224), (6360) gives:
% 256.80/65.02 | | | | | | | | | | | (6366) all_4_52 = n5
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n6,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6360), (6361) gives:
% 256.80/65.02 | | | | | | | | | | | (6367) all_4_52 = all_4_55
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6364), (6365) imply:
% 256.80/65.02 | | | | | | | | | | | (6368) all_4_54 = n7
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6368) implies:
% 256.80/65.02 | | | | | | | | | | | (6369) all_4_54 = n7
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6366), (6367) imply:
% 256.80/65.02 | | | | | | | | | | | (6370) all_4_55 = n5
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (149), (6364), (6366) imply:
% 256.80/65.02 | | | | | | | | | | | (6371) sum(n5, n7) = all_4_50
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (148), (6366), (6369) imply:
% 256.80/65.02 | | | | | | | | | | | (6372) sum(n5, n7) = all_4_48
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (146), (6364), (6370) imply:
% 256.80/65.02 | | | | | | | | | | | (6373) sum(n5, n7) = all_4_49
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (145), (6369), (6370) imply:
% 256.80/65.02 | | | | | | | | | | | (6374) sum(n5, n7) = all_4_53
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_50, n7, n5,
% 256.80/65.02 | | | | | | | | | | | simplifying with (68), (6371) gives:
% 256.80/65.02 | | | | | | | | | | | (6375) all_4_50 = n1
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n7, n5,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6371), (6373) gives:
% 256.80/65.02 | | | | | | | | | | | (6376) all_4_49 = all_4_50
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n7, n5,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6372), (6373) gives:
% 256.80/65.02 | | | | | | | | | | | (6377) all_4_48 = all_4_49
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n7, n5,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6372), (6374) gives:
% 256.80/65.02 | | | | | | | | | | | (6378) all_4_48 = all_4_53
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6377), (6378) imply:
% 256.80/65.02 | | | | | | | | | | | (6379) all_4_49 = all_4_53
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6379) implies:
% 256.80/65.02 | | | | | | | | | | | (6380) all_4_49 = all_4_53
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6376), (6380) imply:
% 256.80/65.02 | | | | | | | | | | | (6381) all_4_50 = all_4_53
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6381) implies:
% 256.80/65.02 | | | | | | | | | | | (6382) all_4_50 = all_4_53
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6375), (6382) imply:
% 256.80/65.02 | | | | | | | | | | | (6383) all_4_53 = n1
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6380), (6383) imply:
% 256.80/65.02 | | | | | | | | | | | (6384) all_4_49 = n1
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6378), (6383) imply:
% 256.80/65.02 | | | | | | | | | | | (6385) all_4_48 = n1
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (150), (6384), (6385) imply:
% 256.80/65.02 | | | | | | | | | | | (6386) sum(n1, n1) = all_4_92
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (147), (6375), (6383) imply:
% 256.80/65.02 | | | | | | | | | | | (6387) sum(n1, n1) = all_4_93
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_92, n1, n1,
% 256.80/65.02 | | | | | | | | | | | simplifying with (18), (6386) gives:
% 256.80/65.02 | | | | | | | | | | | (6388) all_4_92 = n2
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n1, n1,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6386), (6387) gives:
% 256.80/65.02 | | | | | | | | | | | (6389) all_4_92 = all_4_93
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6388), (6389) imply:
% 256.80/65.02 | | | | | | | | | | | (6390) all_4_93 = n2
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6390) implies:
% 256.80/65.02 | | | | | | | | | | | (6391) all_4_93 = n2
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (238), (6388) imply:
% 256.80/65.02 | | | | | | | | | | | (6392) pred(n2) = all_4_44
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (237), (6391) imply:
% 256.80/65.02 | | | | | | | | | | | (6393) pred(n2) = all_4_47
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (207), (6388) imply:
% 256.80/65.02 | | | | | | | | | | | (6394) succ(n2) = all_4_46
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (206), (6391) imply:
% 256.80/65.02 | | | | | | | | | | | (6395) succ(n2) = all_4_43
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_43, n2,
% 256.80/65.02 | | | | | | | | | | | simplifying with (189), (6395) gives:
% 256.80/65.02 | | | | | | | | | | | (6396) all_4_43 = n3
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n2,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6394), (6395) gives:
% 256.80/65.02 | | | | | | | | | | | (6397) all_4_43 = all_4_46
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_44, n2,
% 256.80/65.02 | | | | | | | | | | | simplifying with (220), (6392) gives:
% 256.80/65.02 | | | | | | | | | | | (6398) all_4_44 = n1
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n2,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6392), (6393) gives:
% 256.80/65.02 | | | | | | | | | | | (6399) all_4_44 = all_4_47
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6396), (6397) imply:
% 256.80/65.02 | | | | | | | | | | | (6400) all_4_46 = n3
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6400) implies:
% 256.80/65.02 | | | | | | | | | | | (6401) all_4_46 = n3
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6398), (6399) imply:
% 256.80/65.02 | | | | | | | | | | | (6402) all_4_47 = n1
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (155), (6396), (6398) imply:
% 256.80/65.02 | | | | | | | | | | | (6403) sum(n1, n3) = all_4_42
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (154), (6398), (6401) imply:
% 256.80/65.02 | | | | | | | | | | | (6404) sum(n1, n3) = all_4_40
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (152), (6396), (6402) imply:
% 256.80/65.02 | | | | | | | | | | | (6405) sum(n1, n3) = all_4_41
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (151), (6401), (6402) imply:
% 256.80/65.02 | | | | | | | | | | | (6406) sum(n1, n3) = all_4_45
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_42, n3, n1,
% 256.80/65.02 | | | | | | | | | | | simplifying with (20), (6403) gives:
% 256.80/65.02 | | | | | | | | | | | (6407) all_4_42 = n4
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n3, n1,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6403), (6405) gives:
% 256.80/65.02 | | | | | | | | | | | (6408) all_4_41 = all_4_42
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n3, n1,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6404), (6405) gives:
% 256.80/65.02 | | | | | | | | | | | (6409) all_4_40 = all_4_41
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n3, n1,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6404), (6406) gives:
% 256.80/65.02 | | | | | | | | | | | (6410) all_4_40 = all_4_45
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6409), (6410) imply:
% 256.80/65.02 | | | | | | | | | | | (6411) all_4_41 = all_4_45
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6411) implies:
% 256.80/65.02 | | | | | | | | | | | (6412) all_4_41 = all_4_45
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6408), (6412) imply:
% 256.80/65.02 | | | | | | | | | | | (6413) all_4_42 = all_4_45
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | SIMP: (6413) implies:
% 256.80/65.02 | | | | | | | | | | | (6414) all_4_42 = all_4_45
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6407), (6414) imply:
% 256.80/65.02 | | | | | | | | | | | (6415) all_4_45 = n4
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6412), (6415) imply:
% 256.80/65.02 | | | | | | | | | | | (6416) all_4_41 = n4
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6410), (6415) imply:
% 256.80/65.02 | | | | | | | | | | | (6417) all_4_40 = n4
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (156), (6416), (6417) imply:
% 256.80/65.02 | | | | | | | | | | | (6418) sum(n4, n4) = all_4_90
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (153), (6407), (6415) imply:
% 256.80/65.02 | | | | | | | | | | | (6419) sum(n4, n4) = all_4_91
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_90, n4, n4,
% 256.80/65.02 | | | | | | | | | | | simplifying with (54), (6418) gives:
% 256.80/65.02 | | | | | | | | | | | (6420) all_4_90 = n8
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n4, n4,
% 256.80/65.02 | | | | | | | | | | | simplifying with (6418), (6419) gives:
% 256.80/65.02 | | | | | | | | | | | (6421) all_4_90 = all_4_91
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | COMBINE_EQS: (6420), (6421) imply:
% 256.80/65.02 | | | | | | | | | | | (6422) all_4_91 = n8
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (240), (6420) imply:
% 256.80/65.02 | | | | | | | | | | | (6423) pred(n8) = all_4_36
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (239), (6422) imply:
% 256.80/65.02 | | | | | | | | | | | (6424) pred(n8) = all_4_39
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (209), (6420) imply:
% 256.80/65.02 | | | | | | | | | | | (6425) succ(n8) = all_4_38
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | REDUCE: (208), (6422) imply:
% 256.80/65.02 | | | | | | | | | | | (6426) succ(n8) = all_4_35
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | BETA: splitting (6283) gives:
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | Case 1:
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | (6427) ~ (all_4_88 = all_4_89)
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_35, n8,
% 256.80/65.02 | | | | | | | | | | | | simplifying with (195), (6426) gives:
% 256.80/65.02 | | | | | | | | | | | | (6428) all_4_35 = n9
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (157), (158), (159),
% 256.80/65.02 | | | | | | | | | | | | (160), (161), (162), (226), (6423), (6424),
% 256.80/65.02 | | | | | | | | | | | | (6425), (6426), (6427), (6428) are inconsistent by
% 256.80/65.02 | | | | | | | | | | | | sub-proof #140.
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | Case 2:
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | (6429) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 256.80/65.02 | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 256.80/65.02 | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (151), (152), (153),
% 256.80/65.02 | | | | | | | | | | | | (154), (155), (156), (189), (220), (6297), (6298),
% 256.80/65.02 | | | | | | | | | | | | (6326), (6328), (6357), (6359), (6388), (6391),
% 256.80/65.02 | | | | | | | | | | | | (6392), (6393), (6394), (6395), (6429) are
% 256.80/65.02 | | | | | | | | | | | | inconsistent by sub-proof #90.
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | End of split
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | Case 2:
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | (6430) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 256.80/65.02 | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | BETA: splitting (6283) gives:
% 256.80/65.02 | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | Case 1:
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | (6431) ~ (all_4_88 = all_4_89)
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | BETA: splitting (6430) gives:
% 256.80/65.02 | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | Case 1:
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | (6432) all_4_101 = n5
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (229), (6432) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6433) pred(n5) = all_4_79
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (198), (6432) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6434) succ(n5) = all_4_75
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (192), (6434) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6435) all_4_75 = n6
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (223), (6433) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6436) all_4_79 = n4
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (128), (6435), (6436) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6437) sum(n4, n6) = all_4_73
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (5265), (6436) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6438) sum(n4, n0) = all_4_77
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (5263), (6435) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6439) sum(n9, n6) = all_4_74
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n0, n4,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (50), (6438) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6440) all_4_77 = n4
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (56), (6437) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6441) all_4_73 = n10
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n6, n9,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (111), (6439) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6442) all_4_74 = n4
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (5267), (6441) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6443) sum(n10, n9) = all_4_98
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REDUCE: (129), (6440), (6442) imply:
% 256.80/65.02 | | | | | | | | | | | | | (6444) sum(n4, n4) = all_4_99
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (54), (6444) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6445) all_4_99 = n8
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n9, n10,
% 256.80/65.02 | | | | | | | | | | | | | simplifying with (125), (6443) gives:
% 256.80/65.02 | | | | | | | | | | | | | (6446) all_4_98 = n8
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 256.80/65.02 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.02 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.02 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.02 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.02 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 256.80/65.02 | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 256.80/65.02 | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 256.80/65.02 | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 256.80/65.02 | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 256.80/65.02 | | | | | | | | | | | | | (6431), (6444), (6445), (6446) are inconsistent by
% 256.80/65.02 | | | | | | | | | | | | | sub-proof #138.
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | Case 2:
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | (6447) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.80/65.02 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | BETA: splitting (6447) gives:
% 256.80/65.02 | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | Case 1:
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | (6448) all_4_101 = n4
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (229), (6448) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6449) pred(n4) = all_4_79
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (198), (6448) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6450) succ(n4) = all_4_75
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (191), (6450) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6451) all_4_75 = n5
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (222), (6449) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6452) all_4_79 = n3
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (128), (6451), (6452) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6453) sum(n3, n5) = all_4_73
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (5265), (6452) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6454) sum(n3, n0) = all_4_77
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (5263), (6451) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6455) sum(n9, n5) = all_4_74
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (39), (6454) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6456) all_4_77 = n3
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (44), (6453) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6457) all_4_73 = n8
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (110), (6455) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6458) all_4_74 = n3
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (5267), (6457) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6459) sum(n8, n9) = all_4_98
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | REDUCE: (129), (6456), (6458) imply:
% 256.80/65.02 | | | | | | | | | | | | | | (6460) sum(n3, n3) = all_4_99
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (42), (6460) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6461) all_4_99 = n6
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.02 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 256.80/65.02 | | | | | | | | | | | | | | simplifying with (103), (6459) gives:
% 256.80/65.02 | | | | | | | | | | | | | | (6462) all_4_98 = n6
% 256.80/65.02 | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 256.80/65.03 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.03 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.03 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.03 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.03 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 256.80/65.03 | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 256.80/65.03 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 256.80/65.03 | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 256.80/65.03 | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 256.80/65.03 | | | | | | | | | | | | | | (6431), (6460), (6461), (6462) are inconsistent by
% 256.80/65.03 | | | | | | | | | | | | | | sub-proof #136.
% 256.80/65.03 | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | Case 2:
% 256.80/65.03 | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | (6463) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.80/65.03 | | | | | | | | | | | | | | all_4_101 = n0
% 256.80/65.03 | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | BETA: splitting (6463) gives:
% 256.80/65.03 | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | Case 1:
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | (6464) all_4_101 = n3
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (229), (6464) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6465) pred(n3) = all_4_79
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (198), (6464) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6466) succ(n3) = all_4_75
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (190), (6466) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6467) all_4_75 = n4
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (221), (6465) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6468) all_4_79 = n2
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (128), (6467), (6468) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6469) sum(n2, n4) = all_4_73
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (5265), (6468) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6470) sum(n2, n0) = all_4_77
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (5263), (6467) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6471) sum(n9, n4) = all_4_74
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (28), (6470) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6472) all_4_77 = n2
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (32), (6469) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6473) all_4_73 = n6
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (109), (6471) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6474) all_4_74 = n2
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (5267), (6473) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6475) sum(n6, n9) = all_4_98
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REDUCE: (129), (6472), (6474) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | (6476) sum(n2, n2) = all_4_99
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (30), (6476) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6477) all_4_99 = n4
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 256.80/65.03 | | | | | | | | | | | | | | | simplifying with (81), (6475) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | (6478) all_4_98 = n4
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 256.80/65.03 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.80/65.03 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.03 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.03 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.03 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 256.80/65.03 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 256.80/65.03 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 256.80/65.03 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 256.80/65.03 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 256.80/65.03 | | | | | | | | | | | | | | | (6431), (6476), (6477), (6478) are inconsistent by
% 256.80/65.03 | | | | | | | | | | | | | | | sub-proof #134.
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | Case 2:
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | (6479) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | BETA: splitting (6479) gives:
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | Case 1:
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | (6480) all_4_101 = n2
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (229), (6480) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6481) pred(n2) = all_4_79
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (198), (6480) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6482) succ(n2) = all_4_75
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (189), (6482) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6483) all_4_75 = n3
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (220), (6481) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6484) all_4_79 = n1
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (128), (6483), (6484) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6485) sum(n1, n3) = all_4_73
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (5265), (6484) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6486) sum(n1, n0) = all_4_77
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (5263), (6483) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6487) sum(n9, n3) = all_4_74
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (17), (6486) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6488) all_4_77 = n1
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (20), (6485) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6489) all_4_73 = n4
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (108), (6487) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6490) all_4_74 = n1
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (5267), (6489) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6491) sum(n4, n9) = all_4_98
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REDUCE: (129), (6488), (6490) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6492) sum(n1, n1) = all_4_99
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (18), (6492) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6493) all_4_99 = n2
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 256.80/65.03 | | | | | | | | | | | | | | | | simplifying with (59), (6491) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | (6494) all_4_98 = n2
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 256.80/65.03 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 256.80/65.03 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.03 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.03 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.03 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 256.80/65.03 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 256.80/65.03 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 256.80/65.03 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 256.80/65.03 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 256.80/65.03 | | | | | | | | | | | | | | | | (6431), (6492), (6493), (6494) are inconsistent by
% 256.80/65.03 | | | | | | | | | | | | | | | | sub-proof #133.
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | Case 2:
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | (6495) all_4_101 = n1 | all_4_101 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | BETA: splitting (6495) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | Case 1:
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6496) all_4_101 = n1
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (229), (6496) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6497) pred(n1) = all_4_79
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (198), (6496) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6498) succ(n1) = all_4_75
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (188), (6498) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6499) all_4_75 = n2
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (219), (6497) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6500) all_4_79 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (128), (6499), (6500) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6501) sum(n0, n2) = all_4_73
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (5265), (6500) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6502) sum(n0, n0) = all_4_77
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (5263), (6499) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6503) sum(n9, n2) = all_4_74
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (6), (6502) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6504) all_4_77 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (8), (6501) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6505) all_4_73 = n2
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (107), (6503) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6506) all_4_74 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (5267), (6505) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6507) sum(n2, n9) = all_4_98
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (129), (6504), (6506) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6508) sum(n0, n0) = all_4_99
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (6), (6508) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6509) all_4_99 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (37), (6507) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6510) all_4_98 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (6431),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6508), (6509), (6510) are inconsistent by
% 256.80/65.03 | | | | | | | | | | | | | | | | | sub-proof #131.
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | Case 2:
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6511) all_4_101 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (229), (6511) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6512) pred(n0) = all_4_79
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (198), (6511) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6513) succ(n0) = all_4_75
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (187), (6513) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6514) all_4_75 = n1
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (218), (6512) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6515) all_4_79 = n10
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (128), (6514), (6515) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6516) sum(n10, n1) = all_4_73
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (5265), (6515) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6517) sum(n10, n0) = all_4_77
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (5263), (6514) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6518) sum(n9, n1) = all_4_74
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (106), (6518) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6519) all_4_74 = n10
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (116), (6517) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6520) all_4_77 = n10
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (117), (6516) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6521) all_4_73 = n0
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (5267), (6521) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6522) sum(n0, n9) = all_4_98
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REDUCE: (129), (6519), (6520) imply:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6523) sum(n10, n10) = all_4_99
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (15), (6522) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6524) all_4_98 = n9
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 256.80/65.03 | | | | | | | | | | | | | | | | | simplifying with (126), (6523) gives:
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6525) all_4_99 = n9
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 256.80/65.03 | | | | | | | | | | | | | | | | | (6431), (6523), (6524), (6525) are inconsistent by
% 256.80/65.03 | | | | | | | | | | | | | | | | | sub-proof #130.
% 256.80/65.03 | | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | | End of split
% 256.80/65.03 | | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | | End of split
% 256.80/65.03 | | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | | End of split
% 256.80/65.03 | | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | End of split
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | End of split
% 256.80/65.03 | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | Case 2:
% 256.80/65.03 | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | (6526) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 256.80/65.03 | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 256.80/65.03 | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 256.80/65.03 | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | BETA: splitting (6430) gives:
% 256.80/65.03 | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | Case 1:
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | (6527) all_4_101 = n5
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (229), (6527) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6528) pred(n5) = all_4_79
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (198), (6527) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6529) succ(n5) = all_4_75
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (192), (6529) gives:
% 256.80/65.03 | | | | | | | | | | | | | (6530) all_4_75 = n6
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (223), (6528) gives:
% 256.80/65.03 | | | | | | | | | | | | | (6531) all_4_79 = n4
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (128), (6530), (6531) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6532) sum(n4, n6) = all_4_73
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (5265), (6531) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6533) sum(n4, n0) = all_4_77
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (5263), (6530) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6534) sum(n9, n6) = all_4_74
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n0, n4,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (50), (6533) gives:
% 256.80/65.03 | | | | | | | | | | | | | (6535) all_4_77 = n4
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (56), (6532) gives:
% 256.80/65.03 | | | | | | | | | | | | | (6536) all_4_73 = n10
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n6, n9,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (111), (6534) gives:
% 256.80/65.03 | | | | | | | | | | | | | (6537) all_4_74 = n4
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (5267), (6536) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6538) sum(n10, n9) = all_4_98
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | REDUCE: (129), (6535), (6537) imply:
% 256.80/65.03 | | | | | | | | | | | | | (6539) sum(n4, n4) = all_4_99
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (54), (6539) gives:
% 256.80/65.03 | | | | | | | | | | | | | (6540) all_4_99 = n8
% 256.80/65.03 | | | | | | | | | | | | |
% 256.80/65.03 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n9, n10,
% 256.80/65.03 | | | | | | | | | | | | | simplifying with (125), (6538) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6541) all_4_98 = n8
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (232), (6541) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6542) pred(n8) = all_4_68
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (231), (6540) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6543) pred(n8) = all_4_71
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (201), (6541) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6544) succ(n8) = all_4_70
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (200), (6540) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6545) succ(n8) = all_4_67
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (195), (6545) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6546) all_4_67 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6544), (6545) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6547) all_4_67 = all_4_70
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (226), (6542) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6548) all_4_68 = n7
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6542), (6543) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6549) all_4_68 = all_4_71
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6546), (6547) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6550) all_4_70 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6550) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6551) all_4_70 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6548), (6549) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6552) all_4_71 = n7
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (137), (6546), (6548) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6553) sum(n7, n9) = all_4_66
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (136), (6548), (6551) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6554) sum(n7, n9) = all_4_64
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (134), (6546), (6552) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6555) sum(n7, n9) = all_4_65
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (133), (6551), (6552) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6556) sum(n7, n9) = all_4_69
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (92), (6555) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6557) all_4_65 = n5
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6553), (6555) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6558) all_4_65 = all_4_66
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6553), (6554) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6559) all_4_64 = all_4_66
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6554), (6556) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6560) all_4_64 = all_4_69
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6559), (6560) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6561) all_4_66 = all_4_69
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6561) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6562) all_4_66 = all_4_69
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6557), (6558) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6563) all_4_66 = n5
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6563) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6564) all_4_66 = n5
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6562), (6564) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6565) all_4_69 = n5
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6560), (6565) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6566) all_4_64 = n5
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (138), (6557), (6566) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6567) sum(n5, n5) = all_4_96
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (135), (6564), (6565) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6568) sum(n5, n5) = all_4_97
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (66), (6567) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6569) all_4_96 = n10
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6567), (6568) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6570) all_4_96 = all_4_97
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6569), (6570) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6571) all_4_97 = n10
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (234), (6569) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6572) pred(n10) = all_4_60
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (233), (6571) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6573) pred(n10) = all_4_63
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (203), (6569) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6574) succ(n10) = all_4_62
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (202), (6571) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6575) succ(n10) = all_4_59
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (197), (6575) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6576) all_4_59 = n0
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6574), (6575) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6577) all_4_59 = all_4_62
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (228), (6572) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6578) all_4_60 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6572), (6573) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6579) all_4_60 = all_4_63
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6576), (6577) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6580) all_4_62 = n0
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6580) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6581) all_4_62 = n0
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6578), (6579) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6582) all_4_63 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (143), (6576), (6578) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6583) sum(n9, n0) = all_4_58
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (142), (6578), (6581) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6584) sum(n9, n0) = all_4_56
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (140), (6576), (6582) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6585) sum(n9, n0) = all_4_57
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (139), (6581), (6582) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6586) sum(n9, n0) = all_4_61
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_58, n0, n9,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (105), (6583) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6587) all_4_58 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6583), (6585) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6588) all_4_57 = all_4_58
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6584), (6585) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6589) all_4_56 = all_4_57
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6584), (6586) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6590) all_4_56 = all_4_61
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6589), (6590) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6591) all_4_57 = all_4_61
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6591) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6592) all_4_57 = all_4_61
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6588), (6592) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6593) all_4_58 = all_4_61
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6593) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6594) all_4_58 = all_4_61
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6587), (6594) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6595) all_4_61 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6592), (6595) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6596) all_4_57 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6590), (6595) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6597) all_4_56 = n9
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (144), (6596), (6597) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6598) sum(n9, n9) = all_4_94
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (141), (6587), (6595) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6599) sum(n9, n9) = all_4_95
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (114), (6598) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6600) all_4_94 = n7
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6598), (6599) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6601) all_4_94 = all_4_95
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6600), (6601) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6602) all_4_95 = n7
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (236), (6600) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6603) pred(n7) = all_4_52
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (235), (6602) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6604) pred(n7) = all_4_55
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (205), (6600) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6605) succ(n7) = all_4_54
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (204), (6602) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6606) succ(n7) = all_4_51
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (194), (6606) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6607) all_4_51 = n8
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6605), (6606) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6608) all_4_51 = all_4_54
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (225), (6603) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6609) all_4_52 = n6
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6603), (6604) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6610) all_4_52 = all_4_55
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6607), (6608) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6611) all_4_54 = n8
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6611) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6612) all_4_54 = n8
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6609), (6610) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6613) all_4_55 = n6
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (149), (6607), (6609) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6614) sum(n6, n8) = all_4_50
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (148), (6609), (6612) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6615) sum(n6, n8) = all_4_48
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (146), (6607), (6613) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6616) sum(n6, n8) = all_4_49
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (145), (6612), (6613) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6617) sum(n6, n8) = all_4_53
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_50, n8, n6,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (80), (6614) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6618) all_4_50 = n3
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6614), (6616) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6619) all_4_49 = all_4_50
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6615), (6616) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6620) all_4_48 = all_4_49
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6615), (6617) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6621) all_4_48 = all_4_53
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6620), (6621) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6622) all_4_49 = all_4_53
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6622) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6623) all_4_49 = all_4_53
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6619), (6623) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6624) all_4_50 = all_4_53
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6624) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6625) all_4_50 = all_4_53
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6618), (6625) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6626) all_4_53 = n3
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6623), (6626) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6627) all_4_49 = n3
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6621), (6626) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6628) all_4_48 = n3
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (150), (6627), (6628) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6629) sum(n3, n3) = all_4_92
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (147), (6618), (6626) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6630) sum(n3, n3) = all_4_93
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (42), (6629) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6631) all_4_92 = n6
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 256.80/65.04 | | | | | | | | | | | | | simplifying with (6629), (6630) gives:
% 256.80/65.04 | | | | | | | | | | | | | (6632) all_4_92 = all_4_93
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | COMBINE_EQS: (6631), (6632) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6633) all_4_93 = n6
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | SIMP: (6633) implies:
% 256.80/65.04 | | | | | | | | | | | | | (6634) all_4_93 = n6
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (238), (6631) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6635) pred(n6) = all_4_44
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (237), (6634) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6636) pred(n6) = all_4_47
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (207), (6631) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6637) succ(n6) = all_4_46
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | REDUCE: (206), (6634) imply:
% 256.80/65.04 | | | | | | | | | | | | | (6638) succ(n6) = all_4_43
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | BETA: splitting (6526) gives:
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | Case 1:
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | (6639) ~ (all_4_90 = all_4_91)
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_43, n6,
% 256.80/65.04 | | | | | | | | | | | | | | simplifying with (193), (6638) gives:
% 256.80/65.04 | | | | | | | | | | | | | | (6640) all_4_43 = n7
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (68), (151), (152), (153),
% 256.80/65.04 | | | | | | | | | | | | | | (154), (155), (156), (224), (6635), (6636),
% 256.80/65.04 | | | | | | | | | | | | | | (6637), (6638), (6639), (6640) are inconsistent by
% 256.80/65.04 | | | | | | | | | | | | | | sub-proof #125.
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | Case 2:
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | (6641) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 256.80/65.04 | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 256.80/65.04 | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (145), (146), (147),
% 256.80/65.04 | | | | | | | | | | | | | | (148), (149), (150), (194), (225), (6540), (6541),
% 256.80/65.04 | | | | | | | | | | | | | | (6569), (6571), (6600), (6602), (6603), (6604),
% 256.80/65.04 | | | | | | | | | | | | | | (6605), (6606), (6641) are inconsistent by
% 256.80/65.04 | | | | | | | | | | | | | | sub-proof #89.
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | End of split
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | Case 2:
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | (6642) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 256.80/65.04 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | BETA: splitting (6526) gives:
% 256.80/65.04 | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | Case 1:
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | (6643) ~ (all_4_90 = all_4_91)
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | BETA: splitting (6642) gives:
% 256.80/65.04 | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | Case 1:
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | (6644) all_4_101 = n4
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (229), (6644) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6645) pred(n4) = all_4_79
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (198), (6644) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6646) succ(n4) = all_4_75
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (191), (6646) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6647) all_4_75 = n5
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (222), (6645) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6648) all_4_79 = n3
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (128), (6647), (6648) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6649) sum(n3, n5) = all_4_73
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (5265), (6648) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6650) sum(n3, n0) = all_4_77
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (5263), (6647) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6651) sum(n9, n5) = all_4_74
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (39), (6650) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6652) all_4_77 = n3
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (44), (6649) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6653) all_4_73 = n8
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (110), (6651) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6654) all_4_74 = n3
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (5267), (6653) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6655) sum(n8, n9) = all_4_98
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REDUCE: (129), (6652), (6654) imply:
% 256.80/65.04 | | | | | | | | | | | | | | | (6656) sum(n3, n3) = all_4_99
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (42), (6656) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6657) all_4_99 = n6
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 256.80/65.04 | | | | | | | | | | | | | | | simplifying with (103), (6655) gives:
% 256.80/65.04 | | | | | | | | | | | | | | | (6658) all_4_98 = n6
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 256.80/65.04 | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 256.80/65.04 | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 256.80/65.04 | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 256.80/65.04 | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 256.80/65.04 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 256.80/65.04 | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 256.80/65.04 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.80/65.04 | | | | | | | | | | | | | | | (238), (6643), (6657), (6658) are inconsistent by
% 256.80/65.04 | | | | | | | | | | | | | | | sub-proof #123.
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | Case 2:
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | (6659) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.80/65.04 | | | | | | | | | | | | | | | all_4_101 = n0
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | BETA: splitting (6659) gives:
% 256.80/65.04 | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | Case 1:
% 256.80/65.04 | | | | | | | | | | | | | | | |
% 256.80/65.04 | | | | | | | | | | | | | | | | (6660) all_4_101 = n3
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (229), (6660) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6661) pred(n3) = all_4_79
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (198), (6660) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6662) succ(n3) = all_4_75
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (190), (6662) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6663) all_4_75 = n4
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (221), (6661) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6664) all_4_79 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (128), (6663), (6664) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6665) sum(n2, n4) = all_4_73
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (5265), (6664) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6666) sum(n2, n0) = all_4_77
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (5263), (6663) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6667) sum(n9, n4) = all_4_74
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (28), (6666) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6668) all_4_77 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (32), (6665) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6669) all_4_73 = n6
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (109), (6667) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6670) all_4_74 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (5267), (6669) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6671) sum(n6, n9) = all_4_98
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REDUCE: (129), (6668), (6670) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6672) sum(n2, n2) = all_4_99
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (30), (6672) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6673) all_4_99 = n4
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 256.80/65.05 | | | | | | | | | | | | | | | | simplifying with (81), (6671) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | (6674) all_4_98 = n4
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 256.80/65.05 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 256.80/65.05 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.05 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.05 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 256.80/65.05 | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 256.80/65.05 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 256.80/65.05 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 256.80/65.05 | | | | | | | | | | | | | | | | (237), (238), (6643), (6673), (6674) are
% 256.80/65.05 | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | Case 2:
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | (6675) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | BETA: splitting (6675) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | Case 1:
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6676) all_4_101 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (229), (6676) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6677) pred(n2) = all_4_79
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (198), (6676) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6678) succ(n2) = all_4_75
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (189), (6678) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6679) all_4_75 = n3
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (220), (6677) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6680) all_4_79 = n1
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (128), (6679), (6680) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6681) sum(n1, n3) = all_4_73
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (5265), (6680) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6682) sum(n1, n0) = all_4_77
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (5263), (6679) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6683) sum(n9, n3) = all_4_74
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (17), (6682) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6684) all_4_77 = n1
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (20), (6681) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6685) all_4_73 = n4
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (108), (6683) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6686) all_4_74 = n1
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (5267), (6685) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6687) sum(n4, n9) = all_4_98
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REDUCE: (129), (6684), (6686) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6688) sum(n1, n1) = all_4_99
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (18), (6688) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6689) all_4_99 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 256.80/65.05 | | | | | | | | | | | | | | | | | simplifying with (59), (6687) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6690) all_4_98 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.80/65.05 | | | | | | | | | | | | | | | | | (238), (6643), (6689), (6690) are inconsistent by
% 256.80/65.05 | | | | | | | | | | | | | | | | | sub-proof #120.
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | Case 2:
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | (6691) all_4_101 = n1 | all_4_101 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | BETA: splitting (6691) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | Case 1:
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6692) all_4_101 = n1
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (229), (6692) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6693) pred(n1) = all_4_79
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (198), (6692) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6694) succ(n1) = all_4_75
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (188), (6694) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6695) all_4_75 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (219), (6693) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6696) all_4_79 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (128), (6695), (6696) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6697) sum(n0, n2) = all_4_73
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6696) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6698) sum(n0, n0) = all_4_77
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6695) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6699) sum(n9, n2) = all_4_74
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (6), (6698) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6700) all_4_77 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (8), (6697) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6701) all_4_73 = n2
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (107), (6699) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6702) all_4_74 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6701) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6703) sum(n2, n9) = all_4_98
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (129), (6700), (6702) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6704) sum(n0, n0) = all_4_99
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (6), (6704) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6705) all_4_99 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (37), (6703) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6706) all_4_98 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (236), (237), (238), (6643), (6704), (6705),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6706) are inconsistent by sub-proof #118.
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | Case 2:
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6707) all_4_101 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (229), (6707) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6708) pred(n0) = all_4_79
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (198), (6707) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6709) succ(n0) = all_4_75
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (187), (6709) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6710) all_4_75 = n1
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (218), (6708) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6711) all_4_79 = n10
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (128), (6710), (6711) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6712) sum(n10, n1) = all_4_73
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6711) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6713) sum(n10, n0) = all_4_77
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6710) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6714) sum(n9, n1) = all_4_74
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (106), (6714) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6715) all_4_74 = n10
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (116), (6713) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6716) all_4_77 = n10
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (117), (6712) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6717) all_4_73 = n0
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6717) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6718) sum(n0, n9) = all_4_98
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REDUCE: (129), (6715), (6716) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6719) sum(n10, n10) = all_4_99
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (15), (6718) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6720) all_4_98 = n9
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 256.80/65.05 | | | | | | | | | | | | | | | | | | simplifying with (126), (6719) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (6721) all_4_99 = n9
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 256.80/65.05 | | | | | | | | | | | | | | | | | | (238), (6643), (6720), (6721) are inconsistent by
% 256.80/65.05 | | | | | | | | | | | | | | | | | | sub-proof #117.
% 256.80/65.05 | | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | | End of split
% 256.80/65.05 | | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | | End of split
% 256.80/65.05 | | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | End of split
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | End of split
% 256.80/65.05 | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | Case 2:
% 256.80/65.05 | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | (6722) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 256.80/65.05 | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 256.80/65.05 | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 256.80/65.05 | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | BETA: splitting (6642) gives:
% 256.80/65.05 | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | Case 1:
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | (6723) all_4_101 = n4
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (229), (6723) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6724) pred(n4) = all_4_79
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (198), (6723) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6725) succ(n4) = all_4_75
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (191), (6725) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6726) all_4_75 = n5
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (222), (6724) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6727) all_4_79 = n3
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (128), (6726), (6727) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6728) sum(n3, n5) = all_4_73
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (5265), (6727) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6729) sum(n3, n0) = all_4_77
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (5263), (6726) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6730) sum(n9, n5) = all_4_74
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n0, n3,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (39), (6729) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6731) all_4_77 = n3
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (44), (6728) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6732) all_4_73 = n8
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n5, n9,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (110), (6730) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6733) all_4_74 = n3
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (5267), (6732) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6734) sum(n8, n9) = all_4_98
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (129), (6731), (6733) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6735) sum(n3, n3) = all_4_99
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (42), (6735) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6736) all_4_99 = n6
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n9, n8,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (103), (6734) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6737) all_4_98 = n6
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (232), (6737) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6738) pred(n6) = all_4_68
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (231), (6736) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6739) pred(n6) = all_4_71
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (201), (6737) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6740) succ(n6) = all_4_70
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (200), (6736) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6741) succ(n6) = all_4_67
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (193), (6741) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6742) all_4_67 = n7
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (6740), (6741) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6743) all_4_67 = all_4_70
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (224), (6738) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6744) all_4_68 = n5
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (6738), (6739) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6745) all_4_68 = all_4_71
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | COMBINE_EQS: (6742), (6743) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6746) all_4_70 = n7
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | SIMP: (6746) implies:
% 256.80/65.05 | | | | | | | | | | | | | | | (6747) all_4_70 = n7
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | COMBINE_EQS: (6744), (6745) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6748) all_4_71 = n5
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (137), (6742), (6744) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6749) sum(n5, n7) = all_4_66
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (136), (6744), (6747) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6750) sum(n5, n7) = all_4_64
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (134), (6742), (6748) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6751) sum(n5, n7) = all_4_65
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | REDUCE: (133), (6747), (6748) imply:
% 256.80/65.05 | | | | | | | | | | | | | | | (6752) sum(n5, n7) = all_4_69
% 256.80/65.05 | | | | | | | | | | | | | | |
% 256.80/65.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 256.80/65.05 | | | | | | | | | | | | | | | simplifying with (68), (6751) gives:
% 256.80/65.05 | | | | | | | | | | | | | | | (6753) all_4_65 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6749), (6751) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6754) all_4_65 = all_4_66
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6749), (6750) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6755) all_4_64 = all_4_66
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6750), (6752) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6756) all_4_64 = all_4_69
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6755), (6756) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6757) all_4_66 = all_4_69
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | SIMP: (6757) implies:
% 256.80/65.06 | | | | | | | | | | | | | | | (6758) all_4_66 = all_4_69
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6753), (6754) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6759) all_4_66 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | SIMP: (6759) implies:
% 256.80/65.06 | | | | | | | | | | | | | | | (6760) all_4_66 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6758), (6760) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6761) all_4_69 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6756), (6761) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6762) all_4_64 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (138), (6753), (6762) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6763) sum(n1, n1) = all_4_96
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (135), (6760), (6761) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6764) sum(n1, n1) = all_4_97
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (18), (6763) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6765) all_4_96 = n2
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6763), (6764) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6766) all_4_96 = all_4_97
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6765), (6766) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6767) all_4_97 = n2
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (234), (6765) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6768) pred(n2) = all_4_60
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (233), (6767) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6769) pred(n2) = all_4_63
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (203), (6765) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6770) succ(n2) = all_4_62
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (202), (6767) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6771) succ(n2) = all_4_59
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (189), (6771) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6772) all_4_59 = n3
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6770), (6771) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6773) all_4_59 = all_4_62
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (220), (6768) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6774) all_4_60 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6768), (6769) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6775) all_4_60 = all_4_63
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6772), (6773) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6776) all_4_62 = n3
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | SIMP: (6776) implies:
% 256.80/65.06 | | | | | | | | | | | | | | | (6777) all_4_62 = n3
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6774), (6775) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6778) all_4_63 = n1
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (143), (6772), (6774) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6779) sum(n1, n3) = all_4_58
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (142), (6774), (6777) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6780) sum(n1, n3) = all_4_56
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (140), (6772), (6778) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6781) sum(n1, n3) = all_4_57
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (139), (6777), (6778) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6782) sum(n1, n3) = all_4_61
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_58, n3, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (20), (6779) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6783) all_4_58 = n4
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6779), (6781) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6784) all_4_57 = all_4_58
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6780), (6781) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6785) all_4_56 = all_4_57
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6780), (6782) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6786) all_4_56 = all_4_61
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6785), (6786) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6787) all_4_57 = all_4_61
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | SIMP: (6787) implies:
% 256.80/65.06 | | | | | | | | | | | | | | | (6788) all_4_57 = all_4_61
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6784), (6788) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6789) all_4_58 = all_4_61
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | SIMP: (6789) implies:
% 256.80/65.06 | | | | | | | | | | | | | | | (6790) all_4_58 = all_4_61
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6783), (6790) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6791) all_4_61 = n4
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6788), (6791) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6792) all_4_57 = n4
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6786), (6791) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6793) all_4_56 = n4
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (144), (6792), (6793) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6794) sum(n4, n4) = all_4_94
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (141), (6783), (6791) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6795) sum(n4, n4) = all_4_95
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (54), (6794) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6796) all_4_94 = n8
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 256.80/65.06 | | | | | | | | | | | | | | | simplifying with (6794), (6795) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | (6797) all_4_94 = all_4_95
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | COMBINE_EQS: (6796), (6797) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6798) all_4_95 = n8
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (236), (6796) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6799) pred(n8) = all_4_52
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (235), (6798) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6800) pred(n8) = all_4_55
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (205), (6796) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6801) succ(n8) = all_4_54
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | REDUCE: (204), (6798) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | (6802) succ(n8) = all_4_51
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | BETA: splitting (6722) gives:
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | Case 1:
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | (6803) ~ (all_4_92 = all_4_93)
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 256.80/65.06 | | | | | | | | | | | | | | | | simplifying with (195), (6802) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | (6804) all_4_51 = n9
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (145), (146), (147),
% 256.80/65.06 | | | | | | | | | | | | | | | | (148), (149), (150), (226), (6799), (6800),
% 256.80/65.06 | | | | | | | | | | | | | | | | (6801), (6802), (6803), (6804) are inconsistent by
% 256.80/65.06 | | | | | | | | | | | | | | | | sub-proof #113.
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | Case 2:
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | (6805) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 256.80/65.06 | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (139), (140), (141),
% 256.80/65.06 | | | | | | | | | | | | | | | | (142), (143), (144), (189), (220), (6736), (6737),
% 256.80/65.06 | | | | | | | | | | | | | | | | (6765), (6767), (6768), (6769), (6770), (6771),
% 256.80/65.06 | | | | | | | | | | | | | | | | (6805) are inconsistent by sub-proof #88.
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | End of split
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | Case 2:
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | (6806) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 256.80/65.06 | | | | | | | | | | | | | | | all_4_101 = n0
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | BETA: splitting (6722) gives:
% 256.80/65.06 | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | Case 1:
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | (6807) ~ (all_4_92 = all_4_93)
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | BETA: splitting (6806) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | Case 1:
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6808) all_4_101 = n3
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (229), (6808) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6809) pred(n3) = all_4_79
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (198), (6808) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6810) succ(n3) = all_4_75
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (190), (6810) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6811) all_4_75 = n4
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (221), (6809) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6812) all_4_79 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (128), (6811), (6812) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6813) sum(n2, n4) = all_4_73
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (5265), (6812) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6814) sum(n2, n0) = all_4_77
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (5263), (6811) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6815) sum(n9, n4) = all_4_74
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (28), (6814) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6816) all_4_77 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (32), (6813) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6817) all_4_73 = n6
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (109), (6815) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6818) all_4_74 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (5267), (6817) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6819) sum(n6, n9) = all_4_98
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REDUCE: (129), (6816), (6818) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6820) sum(n2, n2) = all_4_99
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (30), (6820) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6821) all_4_99 = n4
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 256.80/65.06 | | | | | | | | | | | | | | | | | simplifying with (81), (6819) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6822) all_4_98 = n4
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 256.80/65.06 | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 256.80/65.06 | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 256.80/65.06 | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 256.80/65.06 | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 256.80/65.06 | | | | | | | | | | | | | | | | | (222), (223), (227), (231), (232), (233), (234),
% 256.80/65.06 | | | | | | | | | | | | | | | | | (235), (236), (6807), (6821), (6822) are
% 256.80/65.06 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | Case 2:
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | (6823) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | BETA: splitting (6823) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | Case 1:
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6824) all_4_101 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (229), (6824) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6825) pred(n2) = all_4_79
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (198), (6824) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6826) succ(n2) = all_4_75
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (189), (6826) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6827) all_4_75 = n3
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (220), (6825) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6828) all_4_79 = n1
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (128), (6827), (6828) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6829) sum(n1, n3) = all_4_73
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6828) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6830) sum(n1, n0) = all_4_77
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6827) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6831) sum(n9, n3) = all_4_74
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (17), (6830) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6832) all_4_77 = n1
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (20), (6829) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6833) all_4_73 = n4
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (108), (6831) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6834) all_4_74 = n1
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6833) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6835) sum(n4, n9) = all_4_98
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REDUCE: (129), (6832), (6834) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6836) sum(n1, n1) = all_4_99
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (18), (6836) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6837) all_4_99 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | simplifying with (59), (6835) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6838) all_4_98 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (220), (226), (228), (231), (232), (233), (234),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (235), (236), (6807), (6837), (6838) are
% 256.80/65.06 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | Case 2:
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | (6839) all_4_101 = n1 | all_4_101 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | BETA: splitting (6839) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | Case 1:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6840) all_4_101 = n1
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6840) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6841) pred(n1) = all_4_79
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6840) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6842) succ(n1) = all_4_75
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (188), (6842) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6843) all_4_75 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (219), (6841) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6844) all_4_79 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6843), (6844) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6845) sum(n0, n2) = all_4_73
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6844) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6846) sum(n0, n0) = all_4_77
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6843) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6847) sum(n9, n2) = all_4_74
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (6), (6846) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6848) all_4_77 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (8), (6845) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6849) all_4_73 = n2
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (107), (6847) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6850) all_4_74 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6849) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6851) sum(n2, n9) = all_4_98
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6848), (6850) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6852) sum(n0, n0) = all_4_99
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (6), (6852) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6853) all_4_99 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (37), (6851) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6854) all_4_98 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6807), (6852), (6853), (6854) are inconsistent by
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | sub-proof #108.
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | Case 2:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6855) all_4_101 = n0
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6855) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6856) pred(n0) = all_4_79
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6855) imply:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6857) succ(n0) = all_4_75
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | simplifying with (187), (6857) gives:
% 256.80/65.06 | | | | | | | | | | | | | | | | | | | (6858) all_4_75 = n1
% 256.80/65.06 | | | | | | | | | | | | | | | | | | |
% 256.80/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 256.80/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (218), (6856) gives:
% 256.80/65.07 | | | | | | | | | | | | | | | | | | | (6859) all_4_79 = n10
% 256.80/65.07 | | | | | | | | | | | | | | | | | | |
% 256.80/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6858), (6859) imply:
% 256.80/65.07 | | | | | | | | | | | | | | | | | | | (6860) sum(n10, n1) = all_4_73
% 256.80/65.07 | | | | | | | | | | | | | | | | | | |
% 256.80/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6859) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6861) sum(n10, n0) = all_4_77
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6858) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6862) sum(n9, n1) = all_4_74
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (106), (6862) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6863) all_4_74 = n10
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (116), (6861) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6864) all_4_77 = n10
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (117), (6860) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6865) all_4_73 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6865) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6866) sum(n0, n9) = all_4_98
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6863), (6864) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6867) sum(n10, n10) = all_4_99
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (15), (6866) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6868) all_4_98 = n9
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (235), (236), (6807), (6867), (6868) are
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | End of split
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | End of split
% 257.05/65.07 | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | Case 2:
% 257.05/65.07 | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | (6869) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 257.05/65.07 | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 257.05/65.07 | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | BETA: splitting (6806) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6870) all_4_101 = n3
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (229), (6870) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6871) pred(n3) = all_4_79
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (198), (6870) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6872) succ(n3) = all_4_75
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (190), (6872) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6873) all_4_75 = n4
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (221), (6871) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6874) all_4_79 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (128), (6873), (6874) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6875) sum(n2, n4) = all_4_73
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (5265), (6874) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6876) sum(n2, n0) = all_4_77
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (5263), (6873) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6877) sum(n9, n4) = all_4_74
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n0, n2,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (28), (6876) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6878) all_4_77 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (32), (6875) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6879) all_4_73 = n6
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n4, n9,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (109), (6877) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6880) all_4_74 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (5267), (6879) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6881) sum(n6, n9) = all_4_98
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (129), (6878), (6880) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6882) sum(n2, n2) = all_4_99
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (30), (6882) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6883) all_4_99 = n4
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n9, n6,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (81), (6881) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6884) all_4_98 = n4
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (232), (6884) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6885) pred(n4) = all_4_68
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (231), (6883) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6886) pred(n4) = all_4_71
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (201), (6884) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6887) succ(n4) = all_4_70
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (200), (6883) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6888) succ(n4) = all_4_67
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (191), (6888) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6889) all_4_67 = n5
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (6887), (6888) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6890) all_4_67 = all_4_70
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (222), (6885) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6891) all_4_68 = n3
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (6885), (6886) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6892) all_4_68 = all_4_71
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6889), (6890) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6893) all_4_70 = n5
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | SIMP: (6893) implies:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6894) all_4_70 = n5
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6891), (6892) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6895) all_4_71 = n3
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (137), (6889), (6891) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6896) sum(n3, n5) = all_4_66
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (136), (6891), (6894) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6897) sum(n3, n5) = all_4_64
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (134), (6889), (6895) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6898) sum(n3, n5) = all_4_65
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (133), (6894), (6895) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6899) sum(n3, n5) = all_4_69
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (44), (6898) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6900) all_4_65 = n8
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (6896), (6898) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6901) all_4_65 = all_4_66
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (6896), (6897) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6902) all_4_64 = all_4_66
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (6897), (6899) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6903) all_4_64 = all_4_69
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6902), (6903) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6904) all_4_66 = all_4_69
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | SIMP: (6904) implies:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6905) all_4_66 = all_4_69
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6900), (6901) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6906) all_4_66 = n8
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | SIMP: (6906) implies:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6907) all_4_66 = n8
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6905), (6907) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6908) all_4_69 = n8
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6903), (6908) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6909) all_4_64 = n8
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (138), (6900), (6909) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6910) sum(n8, n8) = all_4_96
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (135), (6907), (6908) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6911) sum(n8, n8) = all_4_97
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (102), (6910) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6912) all_4_96 = n5
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 257.05/65.07 | | | | | | | | | | | | | | | | | simplifying with (6910), (6911) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6913) all_4_96 = all_4_97
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6912), (6913) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6914) all_4_97 = n5
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (234), (6912) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6915) pred(n5) = all_4_60
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (233), (6914) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6916) pred(n5) = all_4_63
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (203), (6912) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6917) succ(n5) = all_4_62
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | REDUCE: (202), (6914) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6918) succ(n5) = all_4_59
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | BETA: splitting (6869) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (6919) ~ (all_4_94 = all_4_95)
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | simplifying with (192), (6918) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (6920) all_4_59 = n6
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (56), (126), (139), (140), (141),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (142), (143), (144), (223), (6915), (6916),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (6917), (6918), (6919), (6920) are inconsistent by
% 257.05/65.07 | | | | | | | | | | | | | | | | | | sub-proof #103.
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (6921) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 257.05/65.07 | | | | | | | | | | | | | | | | | | all_4_99)
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (102), (133), (134), (135),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (136), (137), (138), (191), (222), (6883), (6884),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (6885), (6886), (6887), (6888), (6921) are
% 257.05/65.07 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | End of split
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | (6922) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | BETA: splitting (6869) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | (6923) ~ (all_4_94 = all_4_95)
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | BETA: splitting (6922) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6924) all_4_101 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6924) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6925) pred(n2) = all_4_79
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6924) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6926) succ(n2) = all_4_75
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (189), (6926) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6927) all_4_75 = n3
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (220), (6925) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6928) all_4_79 = n1
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6927), (6928) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6929) sum(n1, n3) = all_4_73
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6928) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6930) sum(n1, n0) = all_4_77
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6927) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6931) sum(n9, n3) = all_4_74
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (17), (6930) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6932) all_4_77 = n1
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (20), (6929) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6933) all_4_73 = n4
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (108), (6931) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6934) all_4_74 = n1
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6933) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6935) sum(n4, n9) = all_4_98
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6932), (6934) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6936) sum(n1, n1) = all_4_99
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (18), (6936) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6937) all_4_99 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | simplifying with (59), (6935) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6938) all_4_98 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (200),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (226), (231), (232),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (233), (234), (6923), (6937), (6938) are
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | (6939) all_4_101 = n1 | all_4_101 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (6939) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6940) all_4_101 = n1
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6940) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6941) pred(n1) = all_4_79
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6940) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6942) succ(n1) = all_4_75
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (6942) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6943) all_4_75 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (6941) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6944) all_4_79 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6943), (6944) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6945) sum(n0, n2) = all_4_73
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6944) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6946) sum(n0, n0) = all_4_77
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6943) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6947) sum(n9, n2) = all_4_74
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (6946) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6948) all_4_77 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (6945) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6949) all_4_73 = n2
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (107), (6947) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6950) all_4_74 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6949) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6951) sum(n2, n9) = all_4_98
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6948), (6950) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6952) sum(n0, n0) = all_4_99
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (6952) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6953) all_4_99 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (37), (6951) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6954) all_4_98 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (144), (187), (200), (201), (202), (203), (218),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (6923), (6952),
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6953), (6954) are inconsistent by sub-proof #100.
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6955) all_4_101 = n0
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6955) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6956) pred(n0) = all_4_79
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6955) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6957) succ(n0) = all_4_75
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (6957) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6958) all_4_75 = n1
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (6956) gives:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6959) all_4_79 = n10
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6958), (6959) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6960) sum(n10, n1) = all_4_73
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6959) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6961) sum(n10, n0) = all_4_77
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6958) imply:
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | | (6962) sum(n9, n1) = all_4_74
% 257.05/65.07 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | simplifying with (106), (6962) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6963) all_4_74 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | simplifying with (116), (6961) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6964) all_4_77 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (6960) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6965) all_4_73 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6965) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6966) sum(n0, n9) = all_4_98
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6963), (6964) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6967) sum(n10, n10) = all_4_99
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | simplifying with (15), (6966) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6968) all_4_98 = n9
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (6923), (6967), (6968) are
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #98.
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.08 | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.08 | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | (6969) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 257.05/65.08 | | | | | | | | | | | | | | | | | | all_4_99)
% 257.05/65.08 | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | BETA: splitting (6922) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6970) all_4_101 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6970) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6971) pred(n2) = all_4_79
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6970) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6972) succ(n2) = all_4_75
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (189), (6972) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6973) all_4_75 = n3
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (220), (6971) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6974) all_4_79 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6973), (6974) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6975) sum(n1, n3) = all_4_73
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6974) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6976) sum(n1, n0) = all_4_77
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6973) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6977) sum(n9, n3) = all_4_74
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n0, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (17), (6976) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6978) all_4_77 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (20), (6975) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6979) all_4_73 = n4
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n3, n9,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (108), (6977) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6980) all_4_74 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (6979) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6981) sum(n4, n9) = all_4_98
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6978), (6980) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6982) sum(n1, n1) = all_4_99
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (18), (6982) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6983) all_4_99 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n9, n4,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | simplifying with (59), (6981) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6984) all_4_98 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (232), (6984) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6985) pred(n2) = all_4_68
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (231), (6983) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6986) pred(n2) = all_4_71
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (6984) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6987) succ(n2) = all_4_70
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | REDUCE: (200), (6983) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6988) succ(n2) = all_4_67
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (6969) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6989) ~ (all_4_96 = all_4_97)
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (6988) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6990) all_4_67 = n3
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (133), (134), (135),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (220), (6985), (6986),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6987), (6988), (6989), (6990) are inconsistent by
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6991) ~ (all_4_98 = all_4_99)
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (6983), (6984), (6991) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6992) $false
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | CLOSE: (6992) is inconsistent.
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | (6993) all_4_101 = n1 | all_4_101 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (6969) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (6994) ~ (all_4_96 = all_4_97)
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6993) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (6995) all_4_101 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (6995) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (6996) pred(n1) = all_4_79
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6995) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (6997) succ(n1) = all_4_75
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (6997) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (6998) all_4_75 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (6996) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (6999) all_4_79 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6998), (6999) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7000) sum(n0, n2) = all_4_73
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (6999) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7001) sum(n0, n0) = all_4_77
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (6998) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7002) sum(n9, n2) = all_4_74
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (7001) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7003) all_4_77 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (7000) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7004) all_4_73 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (7002) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7005) all_4_74 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (7004) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7006) sum(n2, n9) = all_4_98
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (7003), (7005) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7007) sum(n0, n0) = all_4_99
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (7007) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7008) all_4_99 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (7006) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7009) all_4_98 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (137), (138), (187), (200), (201), (218), (231),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (232), (6994), (7007), (7008), (7009) are
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7010) all_4_101 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (7010) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7011) pred(n0) = all_4_79
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (7010) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7012) succ(n0) = all_4_75
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (7012) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7013) all_4_75 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (7011) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7014) all_4_79 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (7013), (7014) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7015) sum(n10, n1) = all_4_73
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (7014) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7016) sum(n10, n0) = all_4_77
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (7013) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7017) sum(n9, n1) = all_4_74
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (7017) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7018) all_4_74 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (7016) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7019) all_4_77 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7015) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7020) all_4_73 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (7020) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7021) sum(n0, n9) = all_4_98
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (7018), (7019) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7022) sum(n10, n10) = all_4_99
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (7021) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7023) all_4_98 = n9
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (126), (133), (134),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (196), (200), (201),
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (6994), (7022), (7023) are
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | (7024) ~ (all_4_98 = all_4_99)
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6993) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7025) all_4_101 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (7025) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7026) pred(n1) = all_4_79
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (7025) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7027) succ(n1) = all_4_75
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (7027) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7028) all_4_75 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (7026) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7029) all_4_79 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (7028), (7029) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7030) sum(n0, n2) = all_4_73
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (7029) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7031) sum(n0, n0) = all_4_77
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (7028) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7032) sum(n9, n2) = all_4_74
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n0, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (7031) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7033) all_4_77 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (7030) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7034) all_4_73 = n2
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n2, n9,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (7032) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7035) all_4_74 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (7034) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7036) sum(n2, n9) = all_4_98
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (7033), (7035) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7037) sum(n0, n0) = all_4_99
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (7037) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7038) all_4_99 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n9, n2,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (7036) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7039) all_4_98 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7024), (7038), (7039) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7040) $false
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7040) is inconsistent.
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7041) all_4_101 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (7041) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7042) pred(n0) = all_4_79
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (7041) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7043) succ(n0) = all_4_75
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (7043) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7044) all_4_75 = n1
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (7042) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7045) all_4_79 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (7044), (7045) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7046) sum(n10, n1) = all_4_73
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5265), (7045) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7047) sum(n10, n0) = all_4_77
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (7044) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7048) sum(n9, n1) = all_4_74
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n1, n9,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (7048) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7049) all_4_74 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n0, n10,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (7047) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7050) all_4_77 = n10
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7046) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7051) all_4_73 = n0
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (7051) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7052) sum(n0, n9) = all_4_98
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (7049), (7050) imply:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7053) sum(n10, n10) = all_4_99
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n9, n0,
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (7052) gives:
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | (7054) all_4_98 = n9
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (7053) gives:
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | | (7055) all_4_99 = n9
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7024), (7054), (7055) imply:
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | | (7056) $false
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7056) is inconsistent.
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | | |
% 257.05/65.09 | | | | | | | | | End of split
% 257.05/65.09 | | | | | | | | |
% 257.05/65.09 | | | | | | | | End of split
% 257.05/65.09 | | | | | | | |
% 257.05/65.09 | | | | | | | End of split
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | End of split
% 257.05/65.09 | | | | | |
% 257.05/65.09 | | | | | End of split
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | End of split
% 257.05/65.09 | | | |
% 257.05/65.09 | | | Case 2:
% 257.05/65.09 | | | |
% 257.05/65.09 | | | | (7057) all_4_100 = n9 | all_4_100 = n8 | all_4_100 = n7 | all_4_100 =
% 257.05/65.09 | | | | n6 | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.05/65.09 | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.05/65.09 | | | |
% 257.05/65.09 | | | | BETA: splitting (3262) gives:
% 257.05/65.09 | | | |
% 257.05/65.09 | | | | Case 1:
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | (7058) all_4_101 = n9
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | REDUCE: (229), (7058) imply:
% 257.05/65.09 | | | | | (7059) pred(n9) = all_4_79
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | REDUCE: (198), (7058) imply:
% 257.05/65.09 | | | | | (7060) succ(n9) = all_4_75
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | GROUND_INST: instantiating (2) with n10, all_4_75, n9, simplifying
% 257.05/65.09 | | | | | with (196), (7060) gives:
% 257.05/65.09 | | | | | (7061) all_4_75 = n10
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | GROUND_INST: instantiating (3) with n8, all_4_79, n9, simplifying with
% 257.05/65.09 | | | | | (227), (7059) gives:
% 257.05/65.09 | | | | | (7062) all_4_79 = n8
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | REDUCE: (131), (7061) imply:
% 257.05/65.09 | | | | | (7063) sum(all_4_76, n10) = all_4_74
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | REDUCE: (128), (7061), (7062) imply:
% 257.05/65.09 | | | | | (7064) sum(n8, n10) = all_4_73
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | REDUCE: (127), (7062) imply:
% 257.05/65.09 | | | | | (7065) sum(n8, all_4_78) = all_4_77
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | GROUND_INST: instantiating (4) with n7, all_4_73, n10, n8, simplifying
% 257.05/65.09 | | | | | with (104), (7064) gives:
% 257.05/65.09 | | | | | (7066) all_4_73 = n7
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | REDUCE: (132), (7066) imply:
% 257.05/65.09 | | | | | (7067) sum(n7, all_4_72) = all_4_98
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | BETA: splitting (5257) gives:
% 257.05/65.09 | | | | |
% 257.05/65.09 | | | | | Case 1:
% 257.05/65.09 | | | | | |
% 257.05/65.09 | | | | | | (7068) ~ (all_4_82 = all_4_83)
% 257.05/65.09 | | | | | |
% 257.05/65.09 | | | | | | BETA: splitting (7057) gives:
% 257.05/65.09 | | | | | |
% 257.05/65.09 | | | | | | Case 1:
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | (7069) all_4_100 = n9
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | REDUCE: (230), (7069) imply:
% 257.05/65.09 | | | | | | | (7070) pred(n9) = all_4_76
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | REDUCE: (199), (7069) imply:
% 257.05/65.09 | | | | | | | (7071) succ(n9) = all_4_78
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 257.05/65.09 | | | | | | | with (196), (7071) gives:
% 257.05/65.09 | | | | | | | (7072) all_4_78 = n10
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 257.05/65.09 | | | | | | | with (227), (7070) gives:
% 257.05/65.09 | | | | | | | (7073) all_4_76 = n8
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | REDUCE: (130), (7072), (7073) imply:
% 257.05/65.09 | | | | | | | (7074) sum(n8, n10) = all_4_72
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | REDUCE: (7063), (7073) imply:
% 257.05/65.09 | | | | | | | (7075) sum(n8, n10) = all_4_74
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | REDUCE: (7065), (7072) imply:
% 257.05/65.09 | | | | | | | (7076) sum(n8, n10) = all_4_77
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n10, n8,
% 257.05/65.09 | | | | | | | simplifying with (104), (7075) gives:
% 257.05/65.09 | | | | | | | (7077) all_4_74 = n7
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n10, n8,
% 257.05/65.09 | | | | | | | simplifying with (7074), (7075) gives:
% 257.05/65.09 | | | | | | | (7078) all_4_72 = all_4_74
% 257.05/65.09 | | | | | | |
% 257.05/65.09 | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n10, n8,
% 257.05/65.09 | | | | | | | simplifying with (7074), (7076) gives:
% 257.05/65.09 | | | | | | | (7079) all_4_72 = all_4_77
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | COMBINE_EQS: (7078), (7079) imply:
% 257.14/65.09 | | | | | | | (7080) all_4_74 = all_4_77
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | SIMP: (7080) implies:
% 257.14/65.09 | | | | | | | (7081) all_4_74 = all_4_77
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | COMBINE_EQS: (7077), (7081) imply:
% 257.14/65.09 | | | | | | | (7082) all_4_77 = n7
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | COMBINE_EQS: (7079), (7082) imply:
% 257.14/65.09 | | | | | | | (7083) all_4_72 = n7
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | REDUCE: (129), (7077), (7082) imply:
% 257.14/65.09 | | | | | | | (7084) sum(n7, n7) = all_4_99
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | REDUCE: (7067), (7083) imply:
% 257.14/65.09 | | | | | | | (7085) sum(n7, n7) = all_4_98
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n7, n7,
% 257.14/65.09 | | | | | | | simplifying with (90), (7085) gives:
% 257.14/65.09 | | | | | | | (7086) all_4_98 = n3
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n7, n7,
% 257.14/65.09 | | | | | | | simplifying with (7084), (7085) gives:
% 257.14/65.09 | | | | | | | (7087) all_4_98 = all_4_99
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | COMBINE_EQS: (7086), (7087) imply:
% 257.14/65.09 | | | | | | | (7088) all_4_99 = n3
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | SIMP: (7088) implies:
% 257.14/65.09 | | | | | | | (7089) all_4_99 = n3
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.14/65.09 | | | | | | | (102), (104), (126), (133), (134), (135), (136), (137),
% 257.14/65.09 | | | | | | | (138), (139), (140), (141), (142), (143), (144), (145),
% 257.14/65.09 | | | | | | | (146), (147), (148), (149), (150), (151), (152), (153),
% 257.14/65.09 | | | | | | | (154), (155), (156), (157), (158), (159), (160), (161),
% 257.14/65.09 | | | | | | | (162), (163), (164), (165), (166), (167), (168), (169),
% 257.14/65.09 | | | | | | | (170), (171), (172), (173), (174), (175), (176), (177),
% 257.14/65.09 | | | | | | | (178), (179), (180), (188), (190), (191), (192), (196),
% 257.14/65.09 | | | | | | | (200), (201), (202), (203), (204), (205), (206), (207),
% 257.14/65.09 | | | | | | | (208), (209), (210), (211), (212), (213), (214), (215),
% 257.14/65.09 | | | | | | | (219), (221), (222), (223), (227), (231), (232), (233),
% 257.14/65.09 | | | | | | | (234), (235), (236), (237), (238), (239), (240), (241),
% 257.14/65.09 | | | | | | | (242), (243), (244), (245), (246), (7068), (7084),
% 257.14/65.09 | | | | | | | (7086), (7089) are inconsistent by sub-proof #190.
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | Case 2:
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | (7090) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 257.14/65.09 | | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.14/65.09 | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | BETA: splitting (7090) gives:
% 257.14/65.09 | | | | | | |
% 257.14/65.09 | | | | | | | Case 1:
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | (7091) all_4_100 = n8
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (230), (7091) imply:
% 257.14/65.09 | | | | | | | | (7092) pred(n8) = all_4_76
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (199), (7091) imply:
% 257.14/65.09 | | | | | | | | (7093) succ(n8) = all_4_78
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 257.14/65.09 | | | | | | | | simplifying with (195), (7093) gives:
% 257.14/65.09 | | | | | | | | (7094) all_4_78 = n9
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 257.14/65.09 | | | | | | | | simplifying with (226), (7092) gives:
% 257.14/65.09 | | | | | | | | (7095) all_4_76 = n7
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (130), (7094), (7095) imply:
% 257.14/65.09 | | | | | | | | (7096) sum(n7, n9) = all_4_72
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (7063), (7095) imply:
% 257.14/65.09 | | | | | | | | (7097) sum(n7, n10) = all_4_74
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (7065), (7094) imply:
% 257.14/65.09 | | | | | | | | (7098) sum(n8, n9) = all_4_77
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 257.14/65.09 | | | | | | | | simplifying with (92), (7096) gives:
% 257.14/65.09 | | | | | | | | (7099) all_4_72 = n5
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n10, n7,
% 257.14/65.09 | | | | | | | | simplifying with (93), (7097) gives:
% 257.14/65.09 | | | | | | | | (7100) all_4_74 = n6
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n9, n8,
% 257.14/65.09 | | | | | | | | simplifying with (103), (7098) gives:
% 257.14/65.09 | | | | | | | | (7101) all_4_77 = n6
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (129), (7100), (7101) imply:
% 257.14/65.09 | | | | | | | | (7102) sum(n6, n6) = all_4_99
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REDUCE: (7067), (7099) imply:
% 257.14/65.09 | | | | | | | | (7103) sum(n7, n5) = all_4_98
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 257.14/65.09 | | | | | | | | simplifying with (78), (7102) gives:
% 257.14/65.09 | | | | | | | | (7104) all_4_99 = n1
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n5, n7,
% 257.14/65.09 | | | | | | | | simplifying with (88), (7103) gives:
% 257.14/65.09 | | | | | | | | (7105) all_4_98 = n1
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 257.14/65.09 | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.14/65.09 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.09 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.09 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.09 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.09 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.09 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.09 | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.14/65.09 | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.09 | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.09 | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.14/65.09 | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.09 | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.09 | | | | | | | | (245), (246), (7068), (7102), (7104), (7105) are
% 257.14/65.09 | | | | | | | | inconsistent by sub-proof #189.
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | Case 2:
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | (7106) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 257.14/65.09 | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.14/65.09 | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | BETA: splitting (7106) gives:
% 257.14/65.09 | | | | | | | |
% 257.14/65.09 | | | | | | | | Case 1:
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | (7107) all_4_100 = n7
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (230), (7107) imply:
% 257.14/65.09 | | | | | | | | | (7108) pred(n7) = all_4_76
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (199), (7107) imply:
% 257.14/65.09 | | | | | | | | | (7109) succ(n7) = all_4_78
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.14/65.09 | | | | | | | | | simplifying with (194), (7109) gives:
% 257.14/65.09 | | | | | | | | | (7110) all_4_78 = n8
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.14/65.09 | | | | | | | | | simplifying with (225), (7108) gives:
% 257.14/65.09 | | | | | | | | | (7111) all_4_76 = n6
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (130), (7110), (7111) imply:
% 257.14/65.09 | | | | | | | | | (7112) sum(n6, n8) = all_4_72
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (7063), (7111) imply:
% 257.14/65.09 | | | | | | | | | (7113) sum(n6, n10) = all_4_74
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (7065), (7110) imply:
% 257.14/65.09 | | | | | | | | | (7114) sum(n8, n8) = all_4_77
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 257.14/65.09 | | | | | | | | | simplifying with (80), (7112) gives:
% 257.14/65.09 | | | | | | | | | (7115) all_4_72 = n3
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n10, n6,
% 257.14/65.09 | | | | | | | | | simplifying with (82), (7113) gives:
% 257.14/65.09 | | | | | | | | | (7116) all_4_74 = n5
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n8, n8,
% 257.14/65.09 | | | | | | | | | simplifying with (102), (7114) gives:
% 257.14/65.09 | | | | | | | | | (7117) all_4_77 = n5
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (129), (7116), (7117) imply:
% 257.14/65.09 | | | | | | | | | (7118) sum(n5, n5) = all_4_99
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | REDUCE: (7067), (7115) imply:
% 257.14/65.09 | | | | | | | | | (7119) sum(n7, n3) = all_4_98
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 257.14/65.09 | | | | | | | | | simplifying with (66), (7118) gives:
% 257.14/65.09 | | | | | | | | | (7120) all_4_99 = n10
% 257.14/65.09 | | | | | | | | |
% 257.14/65.09 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n3, n7,
% 257.14/65.09 | | | | | | | | | simplifying with (86), (7119) gives:
% 257.14/65.09 | | | | | | | | | (7121) all_4_98 = n10
% 257.14/65.09 | | | | | | | | |
% 257.14/65.10 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 257.14/65.10 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.14/65.10 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.10 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.10 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.10 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.10 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.10 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.10 | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.14/65.10 | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.10 | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.10 | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.14/65.10 | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.10 | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.10 | | | | | | | | | (245), (246), (7068), (7118), (7120), (7121) are
% 257.14/65.10 | | | | | | | | | inconsistent by sub-proof #188.
% 257.14/65.10 | | | | | | | | |
% 257.14/65.10 | | | | | | | | Case 2:
% 257.14/65.10 | | | | | | | | |
% 257.14/65.10 | | | | | | | | | (7122) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.14/65.10 | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.14/65.10 | | | | | | | | | all_4_100 = n0
% 257.14/65.10 | | | | | | | | |
% 257.14/65.10 | | | | | | | | | BETA: splitting (7122) gives:
% 257.14/65.10 | | | | | | | | |
% 257.14/65.10 | | | | | | | | | Case 1:
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | (7123) all_4_100 = n6
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (230), (7123) imply:
% 257.14/65.10 | | | | | | | | | | (7124) pred(n6) = all_4_76
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (199), (7123) imply:
% 257.14/65.10 | | | | | | | | | | (7125) succ(n6) = all_4_78
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.14/65.10 | | | | | | | | | | simplifying with (193), (7125) gives:
% 257.14/65.10 | | | | | | | | | | (7126) all_4_78 = n7
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.14/65.10 | | | | | | | | | | simplifying with (224), (7124) gives:
% 257.14/65.10 | | | | | | | | | | (7127) all_4_76 = n5
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (130), (7126), (7127) imply:
% 257.14/65.10 | | | | | | | | | | (7128) sum(n5, n7) = all_4_72
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (7063), (7127) imply:
% 257.14/65.10 | | | | | | | | | | (7129) sum(n5, n10) = all_4_74
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (7065), (7126) imply:
% 257.14/65.10 | | | | | | | | | | (7130) sum(n8, n7) = all_4_77
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.14/65.10 | | | | | | | | | | simplifying with (68), (7128) gives:
% 257.14/65.10 | | | | | | | | | | (7131) all_4_72 = n1
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n10, n5,
% 257.14/65.10 | | | | | | | | | | simplifying with (71), (7129) gives:
% 257.14/65.10 | | | | | | | | | | (7132) all_4_74 = n4
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n7, n8,
% 257.14/65.10 | | | | | | | | | | simplifying with (101), (7130) gives:
% 257.14/65.10 | | | | | | | | | | (7133) all_4_77 = n4
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (129), (7132), (7133) imply:
% 257.14/65.10 | | | | | | | | | | (7134) sum(n4, n4) = all_4_99
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REDUCE: (7067), (7131) imply:
% 257.14/65.10 | | | | | | | | | | (7135) sum(n7, n1) = all_4_98
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.14/65.10 | | | | | | | | | | simplifying with (54), (7134) gives:
% 257.14/65.10 | | | | | | | | | | (7136) all_4_99 = n8
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n1, n7,
% 257.14/65.10 | | | | | | | | | | simplifying with (84), (7135) gives:
% 257.14/65.10 | | | | | | | | | | (7137) all_4_98 = n8
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.14/65.10 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.14/65.10 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.10 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.10 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.10 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.10 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.10 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.10 | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.14/65.10 | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.10 | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.10 | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.14/65.10 | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.10 | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.10 | | | | | | | | | | (245), (246), (7068), (7134), (7136), (7137) are
% 257.14/65.10 | | | | | | | | | | inconsistent by sub-proof #187.
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | Case 2:
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | (7138) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.14/65.10 | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | BETA: splitting (7138) gives:
% 257.14/65.10 | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | Case 1:
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | (7139) all_4_100 = n5
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (230), (7139) imply:
% 257.14/65.10 | | | | | | | | | | | (7140) pred(n5) = all_4_76
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (199), (7139) imply:
% 257.14/65.10 | | | | | | | | | | | (7141) succ(n5) = all_4_78
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.14/65.10 | | | | | | | | | | | simplifying with (192), (7141) gives:
% 257.14/65.10 | | | | | | | | | | | (7142) all_4_78 = n6
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.14/65.10 | | | | | | | | | | | simplifying with (223), (7140) gives:
% 257.14/65.10 | | | | | | | | | | | (7143) all_4_76 = n4
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (130), (7142), (7143) imply:
% 257.14/65.10 | | | | | | | | | | | (7144) sum(n4, n6) = all_4_72
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (7063), (7143) imply:
% 257.14/65.10 | | | | | | | | | | | (7145) sum(n4, n10) = all_4_74
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (7065), (7142) imply:
% 257.14/65.10 | | | | | | | | | | | (7146) sum(n8, n6) = all_4_77
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.14/65.10 | | | | | | | | | | | simplifying with (56), (7144) gives:
% 257.14/65.10 | | | | | | | | | | | (7147) all_4_72 = n10
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 257.14/65.10 | | | | | | | | | | | simplifying with (60), (7145) gives:
% 257.14/65.10 | | | | | | | | | | | (7148) all_4_74 = n3
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 257.14/65.10 | | | | | | | | | | | simplifying with (100), (7146) gives:
% 257.14/65.10 | | | | | | | | | | | (7149) all_4_77 = n3
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (129), (7148), (7149) imply:
% 257.14/65.10 | | | | | | | | | | | (7150) sum(n3, n3) = all_4_99
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REDUCE: (7067), (7147) imply:
% 257.14/65.10 | | | | | | | | | | | (7151) sum(n7, n10) = all_4_98
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.14/65.10 | | | | | | | | | | | simplifying with (42), (7150) gives:
% 257.14/65.10 | | | | | | | | | | | (7152) all_4_99 = n6
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 257.14/65.10 | | | | | | | | | | | simplifying with (93), (7151) gives:
% 257.14/65.10 | | | | | | | | | | | (7153) all_4_98 = n6
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.14/65.10 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.14/65.10 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.10 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.10 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.10 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.10 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.10 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.10 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.14/65.10 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.10 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.10 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.14/65.10 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.10 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.10 | | | | | | | | | | | (245), (246), (7068), (7150), (7152), (7153) are
% 257.14/65.10 | | | | | | | | | | | inconsistent by sub-proof #186.
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | Case 2:
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | (7154) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.14/65.10 | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | BETA: splitting (7154) gives:
% 257.14/65.10 | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | Case 1:
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | (7155) all_4_100 = n4
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (230), (7155) imply:
% 257.14/65.10 | | | | | | | | | | | | (7156) pred(n4) = all_4_76
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (199), (7155) imply:
% 257.14/65.10 | | | | | | | | | | | | (7157) succ(n4) = all_4_78
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (191), (7157) gives:
% 257.14/65.10 | | | | | | | | | | | | (7158) all_4_78 = n5
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (222), (7156) gives:
% 257.14/65.10 | | | | | | | | | | | | (7159) all_4_76 = n3
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (130), (7158), (7159) imply:
% 257.14/65.10 | | | | | | | | | | | | (7160) sum(n3, n5) = all_4_72
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (7063), (7159) imply:
% 257.14/65.10 | | | | | | | | | | | | (7161) sum(n3, n10) = all_4_74
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (7065), (7158) imply:
% 257.14/65.10 | | | | | | | | | | | | (7162) sum(n8, n5) = all_4_77
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (44), (7160) gives:
% 257.14/65.10 | | | | | | | | | | | | (7163) all_4_72 = n8
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (49), (7161) gives:
% 257.14/65.10 | | | | | | | | | | | | (7164) all_4_74 = n2
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (99), (7162) gives:
% 257.14/65.10 | | | | | | | | | | | | (7165) all_4_77 = n2
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (129), (7164), (7165) imply:
% 257.14/65.10 | | | | | | | | | | | | (7166) sum(n2, n2) = all_4_99
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REDUCE: (7067), (7163) imply:
% 257.14/65.10 | | | | | | | | | | | | (7167) sum(n7, n8) = all_4_98
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (30), (7166) gives:
% 257.14/65.10 | | | | | | | | | | | | (7168) all_4_99 = n4
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.14/65.10 | | | | | | | | | | | | simplifying with (91), (7167) gives:
% 257.14/65.10 | | | | | | | | | | | | (7169) all_4_98 = n4
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.14/65.10 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.14/65.10 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.10 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.10 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.10 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.10 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.10 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.10 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.14/65.10 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.10 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.10 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.14/65.10 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.10 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.10 | | | | | | | | | | | | (245), (246), (7068), (7166), (7168), (7169) are
% 257.14/65.10 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | Case 2:
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | (7170) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.14/65.10 | | | | | | | | | | | | all_4_100 = n0
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | BETA: splitting (7170) gives:
% 257.14/65.10 | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | Case 1:
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | (7171) all_4_100 = n3
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (230), (7171) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7172) pred(n3) = all_4_76
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (199), (7171) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7173) succ(n3) = all_4_78
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (190), (7173) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7174) all_4_78 = n4
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (221), (7172) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7175) all_4_76 = n2
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (130), (7174), (7175) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7176) sum(n2, n4) = all_4_72
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (7063), (7175) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7177) sum(n2, n10) = all_4_74
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (7065), (7174) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7178) sum(n8, n4) = all_4_77
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (32), (7176) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7179) all_4_72 = n6
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (38), (7177) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7180) all_4_74 = n1
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (98), (7178) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7181) all_4_77 = n1
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (129), (7180), (7181) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7182) sum(n1, n1) = all_4_99
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | REDUCE: (7067), (7179) imply:
% 257.14/65.10 | | | | | | | | | | | | | (7183) sum(n7, n6) = all_4_98
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (18), (7182) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7184) all_4_99 = n2
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.14/65.10 | | | | | | | | | | | | | simplifying with (89), (7183) gives:
% 257.14/65.10 | | | | | | | | | | | | | (7185) all_4_98 = n2
% 257.14/65.10 | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.14/65.11 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.14/65.11 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.11 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.11 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.11 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.11 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.11 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.11 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.14/65.11 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.11 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.11 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.14/65.11 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.11 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.11 | | | | | | | | | | | | | (245), (246), (7068), (7182), (7184), (7185) are
% 257.14/65.11 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.14/65.11 | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | Case 2:
% 257.14/65.11 | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | (7186) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.14/65.11 | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | BETA: splitting (7186) gives:
% 257.14/65.11 | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | Case 1:
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | (7187) all_4_100 = n2
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (230), (7187) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7188) pred(n2) = all_4_76
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (199), (7187) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7189) succ(n2) = all_4_78
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (189), (7189) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7190) all_4_78 = n3
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (220), (7188) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7191) all_4_76 = n1
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (130), (7190), (7191) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7192) sum(n1, n3) = all_4_72
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (7063), (7191) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7193) sum(n1, n10) = all_4_74
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (7065), (7190) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7194) sum(n8, n3) = all_4_77
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (20), (7192) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7195) all_4_72 = n4
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (27), (7193) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7196) all_4_74 = n0
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (97), (7194) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7197) all_4_77 = n0
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (129), (7196), (7197) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7198) sum(n0, n0) = all_4_99
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REDUCE: (7067), (7195) imply:
% 257.14/65.11 | | | | | | | | | | | | | | (7199) sum(n7, n4) = all_4_98
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (6), (7198) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7200) all_4_99 = n0
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.14/65.11 | | | | | | | | | | | | | | simplifying with (87), (7199) gives:
% 257.14/65.11 | | | | | | | | | | | | | | (7201) all_4_98 = n0
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.14/65.11 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.11 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.11 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.11 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.11 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.11 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.11 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.14/65.11 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.14/65.11 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.14/65.11 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.14/65.11 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.14/65.11 | | | | | | | | | | | | | | (246), (7068), (7198), (7200), (7201) are
% 257.14/65.11 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | Case 2:
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | (7202) all_4_100 = n1 | all_4_100 = n0
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | BETA: splitting (7202) gives:
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | Case 1:
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | (7203) all_4_100 = n1
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (230), (7203) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7204) pred(n1) = all_4_76
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (199), (7203) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7205) succ(n1) = all_4_78
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (188), (7205) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7206) all_4_78 = n2
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (219), (7204) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7207) all_4_76 = n0
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (130), (7206), (7207) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7208) sum(n0, n2) = all_4_72
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (7063), (7207) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7209) sum(n0, n10) = all_4_74
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (7065), (7206) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7210) sum(n8, n2) = all_4_77
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (8), (7208) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7211) all_4_72 = n2
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (16), (7209) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7212) all_4_74 = n10
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (96), (7210) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7213) all_4_77 = n10
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (129), (7212), (7213) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7214) sum(n10, n10) = all_4_99
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (7067), (7211) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7215) sum(n7, n2) = all_4_98
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (85), (7215) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7216) all_4_98 = n9
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (126), (7214) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7217) all_4_99 = n9
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.14/65.11 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.14/65.11 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.11 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.11 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.11 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.11 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.11 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.11 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.14/65.11 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.11 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.11 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.14/65.11 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.11 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.11 | | | | | | | | | | | | | | | (245), (246), (7068), (7214), (7216), (7217) are
% 257.14/65.11 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | Case 2:
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | (7218) all_4_100 = n0
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (230), (7218) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7219) pred(n0) = all_4_76
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (199), (7218) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7220) succ(n0) = all_4_78
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (187), (7220) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7221) all_4_78 = n1
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (218), (7219) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7222) all_4_76 = n10
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (130), (7221), (7222) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7223) sum(n10, n1) = all_4_72
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (7063), (7222) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7224) sum(n10, n10) = all_4_74
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (7065), (7221) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7225) sum(n8, n1) = all_4_77
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (95), (7225) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7226) all_4_77 = n9
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (117), (7223) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7227) all_4_72 = n0
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (126), (7224) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7228) all_4_74 = n9
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (129), (7226), (7228) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7229) sum(n9, n9) = all_4_99
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REDUCE: (7067), (7227) imply:
% 257.14/65.11 | | | | | | | | | | | | | | | (7230) sum(n7, n0) = all_4_98
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (83), (7230) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7231) all_4_98 = n7
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.14/65.11 | | | | | | | | | | | | | | | simplifying with (114), (7229) gives:
% 257.14/65.11 | | | | | | | | | | | | | | | (7232) all_4_99 = n7
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.14/65.11 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.14/65.11 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.14/65.11 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.14/65.11 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.14/65.11 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.14/65.11 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.14/65.11 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.14/65.11 | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.14/65.11 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.14/65.11 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.14/65.11 | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.14/65.11 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.14/65.11 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.14/65.11 | | | | | | | | | | | | | | | (245), (246), (7068), (7229), (7231), (7232) are
% 257.14/65.11 | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.14/65.11 | | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | | End of split
% 257.14/65.11 | | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | | End of split
% 257.14/65.11 | | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | | End of split
% 257.14/65.11 | | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | | End of split
% 257.14/65.11 | | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | | End of split
% 257.14/65.11 | | | | | | | | | |
% 257.14/65.11 | | | | | | | | | End of split
% 257.14/65.11 | | | | | | | | |
% 257.14/65.11 | | | | | | | | End of split
% 257.14/65.11 | | | | | | | |
% 257.14/65.11 | | | | | | | End of split
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | End of split
% 257.14/65.11 | | | | | |
% 257.14/65.11 | | | | | Case 2:
% 257.14/65.11 | | | | | |
% 257.14/65.11 | | | | | | (7233) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~
% 257.14/65.11 | | | | | | (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~
% 257.14/65.11 | | | | | | (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 257.14/65.11 | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 257.14/65.11 | | | | | |
% 257.14/65.11 | | | | | | BETA: splitting (7057) gives:
% 257.14/65.11 | | | | | |
% 257.14/65.11 | | | | | | Case 1:
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | (7234) all_4_100 = n9
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (230), (7234) imply:
% 257.14/65.11 | | | | | | | (7235) pred(n9) = all_4_76
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (199), (7234) imply:
% 257.14/65.11 | | | | | | | (7236) succ(n9) = all_4_78
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 257.14/65.11 | | | | | | | with (196), (7236) gives:
% 257.14/65.11 | | | | | | | (7237) all_4_78 = n10
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 257.14/65.11 | | | | | | | with (227), (7235) gives:
% 257.14/65.11 | | | | | | | (7238) all_4_76 = n8
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (130), (7237), (7238) imply:
% 257.14/65.11 | | | | | | | (7239) sum(n8, n10) = all_4_72
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (7063), (7238) imply:
% 257.14/65.11 | | | | | | | (7240) sum(n8, n10) = all_4_74
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (7065), (7237) imply:
% 257.14/65.11 | | | | | | | (7241) sum(n8, n10) = all_4_77
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n10, n8,
% 257.14/65.11 | | | | | | | simplifying with (104), (7240) gives:
% 257.14/65.11 | | | | | | | (7242) all_4_74 = n7
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n10, n8,
% 257.14/65.11 | | | | | | | simplifying with (7239), (7240) gives:
% 257.14/65.11 | | | | | | | (7243) all_4_72 = all_4_74
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n10, n8,
% 257.14/65.11 | | | | | | | simplifying with (7239), (7241) gives:
% 257.14/65.11 | | | | | | | (7244) all_4_72 = all_4_77
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | COMBINE_EQS: (7243), (7244) imply:
% 257.14/65.11 | | | | | | | (7245) all_4_74 = all_4_77
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | SIMP: (7245) implies:
% 257.14/65.11 | | | | | | | (7246) all_4_74 = all_4_77
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | COMBINE_EQS: (7242), (7246) imply:
% 257.14/65.11 | | | | | | | (7247) all_4_77 = n7
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | COMBINE_EQS: (7244), (7247) imply:
% 257.14/65.11 | | | | | | | (7248) all_4_72 = n7
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (129), (7242), (7247) imply:
% 257.14/65.11 | | | | | | | (7249) sum(n7, n7) = all_4_99
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | REDUCE: (7067), (7248) imply:
% 257.14/65.11 | | | | | | | (7250) sum(n7, n7) = all_4_98
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n7, n7,
% 257.14/65.11 | | | | | | | simplifying with (90), (7250) gives:
% 257.14/65.11 | | | | | | | (7251) all_4_98 = n3
% 257.14/65.11 | | | | | | |
% 257.14/65.11 | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n7, n7,
% 257.14/65.11 | | | | | | | simplifying with (7249), (7250) gives:
% 257.14/65.11 | | | | | | | (7252) all_4_98 = all_4_99
% 257.14/65.11 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7251), (7252) imply:
% 257.14/65.12 | | | | | | | (7253) all_4_99 = n3
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | SIMP: (7253) implies:
% 257.14/65.12 | | | | | | | (7254) all_4_99 = n3
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (232), (7251) imply:
% 257.14/65.12 | | | | | | | (7255) pred(n3) = all_4_68
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (231), (7254) imply:
% 257.14/65.12 | | | | | | | (7256) pred(n3) = all_4_71
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (201), (7251) imply:
% 257.14/65.12 | | | | | | | (7257) succ(n3) = all_4_70
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (200), (7254) imply:
% 257.14/65.12 | | | | | | | (7258) succ(n3) = all_4_67
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_67, n3, simplifying
% 257.14/65.12 | | | | | | | with (190), (7258) gives:
% 257.14/65.12 | | | | | | | (7259) all_4_67 = n4
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n3,
% 257.14/65.12 | | | | | | | simplifying with (7257), (7258) gives:
% 257.14/65.12 | | | | | | | (7260) all_4_67 = all_4_70
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_68, n3, simplifying
% 257.14/65.12 | | | | | | | with (221), (7255) gives:
% 257.14/65.12 | | | | | | | (7261) all_4_68 = n2
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n3,
% 257.14/65.12 | | | | | | | simplifying with (7255), (7256) gives:
% 257.14/65.12 | | | | | | | (7262) all_4_68 = all_4_71
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7259), (7260) imply:
% 257.14/65.12 | | | | | | | (7263) all_4_70 = n4
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | SIMP: (7263) implies:
% 257.14/65.12 | | | | | | | (7264) all_4_70 = n4
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7261), (7262) imply:
% 257.14/65.12 | | | | | | | (7265) all_4_71 = n2
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (137), (7259), (7261) imply:
% 257.14/65.12 | | | | | | | (7266) sum(n2, n4) = all_4_66
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (136), (7261), (7264) imply:
% 257.14/65.12 | | | | | | | (7267) sum(n2, n4) = all_4_64
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (134), (7259), (7265) imply:
% 257.14/65.12 | | | | | | | (7268) sum(n2, n4) = all_4_65
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (133), (7264), (7265) imply:
% 257.14/65.12 | | | | | | | (7269) sum(n2, n4) = all_4_69
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_65, n4, n2,
% 257.14/65.12 | | | | | | | simplifying with (32), (7268) gives:
% 257.14/65.12 | | | | | | | (7270) all_4_65 = n6
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n4, n2,
% 257.14/65.12 | | | | | | | simplifying with (7266), (7268) gives:
% 257.14/65.12 | | | | | | | (7271) all_4_65 = all_4_66
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n4, n2,
% 257.14/65.12 | | | | | | | simplifying with (7266), (7267) gives:
% 257.14/65.12 | | | | | | | (7272) all_4_64 = all_4_66
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n4, n2,
% 257.14/65.12 | | | | | | | simplifying with (7267), (7269) gives:
% 257.14/65.12 | | | | | | | (7273) all_4_64 = all_4_69
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7272), (7273) imply:
% 257.14/65.12 | | | | | | | (7274) all_4_66 = all_4_69
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | SIMP: (7274) implies:
% 257.14/65.12 | | | | | | | (7275) all_4_66 = all_4_69
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7270), (7271) imply:
% 257.14/65.12 | | | | | | | (7276) all_4_66 = n6
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | SIMP: (7276) implies:
% 257.14/65.12 | | | | | | | (7277) all_4_66 = n6
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7275), (7277) imply:
% 257.14/65.12 | | | | | | | (7278) all_4_69 = n6
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7273), (7278) imply:
% 257.14/65.12 | | | | | | | (7279) all_4_64 = n6
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (138), (7270), (7279) imply:
% 257.14/65.12 | | | | | | | (7280) sum(n6, n6) = all_4_96
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (135), (7277), (7278) imply:
% 257.14/65.12 | | | | | | | (7281) sum(n6, n6) = all_4_97
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_96, n6, n6,
% 257.14/65.12 | | | | | | | simplifying with (78), (7280) gives:
% 257.14/65.12 | | | | | | | (7282) all_4_96 = n1
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n6, n6,
% 257.14/65.12 | | | | | | | simplifying with (7280), (7281) gives:
% 257.14/65.12 | | | | | | | (7283) all_4_96 = all_4_97
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7282), (7283) imply:
% 257.14/65.12 | | | | | | | (7284) all_4_97 = n1
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (234), (7282) imply:
% 257.14/65.12 | | | | | | | (7285) pred(n1) = all_4_60
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (233), (7284) imply:
% 257.14/65.12 | | | | | | | (7286) pred(n1) = all_4_63
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (203), (7282) imply:
% 257.14/65.12 | | | | | | | (7287) succ(n1) = all_4_62
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (202), (7284) imply:
% 257.14/65.12 | | | | | | | (7288) succ(n1) = all_4_59
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_59, n1, simplifying
% 257.14/65.12 | | | | | | | with (188), (7288) gives:
% 257.14/65.12 | | | | | | | (7289) all_4_59 = n2
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n1,
% 257.14/65.12 | | | | | | | simplifying with (7287), (7288) gives:
% 257.14/65.12 | | | | | | | (7290) all_4_59 = all_4_62
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_60, n1, simplifying
% 257.14/65.12 | | | | | | | with (219), (7285) gives:
% 257.14/65.12 | | | | | | | (7291) all_4_60 = n0
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n1,
% 257.14/65.12 | | | | | | | simplifying with (7285), (7286) gives:
% 257.14/65.12 | | | | | | | (7292) all_4_60 = all_4_63
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7289), (7290) imply:
% 257.14/65.12 | | | | | | | (7293) all_4_62 = n2
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | SIMP: (7293) implies:
% 257.14/65.12 | | | | | | | (7294) all_4_62 = n2
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7291), (7292) imply:
% 257.14/65.12 | | | | | | | (7295) all_4_63 = n0
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (143), (7289), (7291) imply:
% 257.14/65.12 | | | | | | | (7296) sum(n0, n2) = all_4_58
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (142), (7291), (7294) imply:
% 257.14/65.12 | | | | | | | (7297) sum(n0, n2) = all_4_56
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (140), (7289), (7295) imply:
% 257.14/65.12 | | | | | | | (7298) sum(n0, n2) = all_4_57
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | REDUCE: (139), (7294), (7295) imply:
% 257.14/65.12 | | | | | | | (7299) sum(n0, n2) = all_4_61
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_58, n2, n0,
% 257.14/65.12 | | | | | | | simplifying with (8), (7296) gives:
% 257.14/65.12 | | | | | | | (7300) all_4_58 = n2
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n2, n0,
% 257.14/65.12 | | | | | | | simplifying with (7296), (7298) gives:
% 257.14/65.12 | | | | | | | (7301) all_4_57 = all_4_58
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n2, n0,
% 257.14/65.12 | | | | | | | simplifying with (7297), (7298) gives:
% 257.14/65.12 | | | | | | | (7302) all_4_56 = all_4_57
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n2, n0,
% 257.14/65.12 | | | | | | | simplifying with (7297), (7299) gives:
% 257.14/65.12 | | | | | | | (7303) all_4_56 = all_4_61
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | COMBINE_EQS: (7302), (7303) imply:
% 257.14/65.12 | | | | | | | (7304) all_4_57 = all_4_61
% 257.14/65.12 | | | | | | |
% 257.14/65.12 | | | | | | | SIMP: (7304) implies:
% 257.14/65.12 | | | | | | | (7305) all_4_57 = all_4_61
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7301), (7305) imply:
% 257.26/65.12 | | | | | | | (7306) all_4_58 = all_4_61
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7306) implies:
% 257.26/65.12 | | | | | | | (7307) all_4_58 = all_4_61
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7300), (7307) imply:
% 257.26/65.12 | | | | | | | (7308) all_4_61 = n2
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7305), (7308) imply:
% 257.26/65.12 | | | | | | | (7309) all_4_57 = n2
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7303), (7308) imply:
% 257.26/65.12 | | | | | | | (7310) all_4_56 = n2
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (144), (7309), (7310) imply:
% 257.26/65.12 | | | | | | | (7311) sum(n2, n2) = all_4_94
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (141), (7300), (7308) imply:
% 257.26/65.12 | | | | | | | (7312) sum(n2, n2) = all_4_95
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_94, n2, n2,
% 257.26/65.12 | | | | | | | simplifying with (30), (7311) gives:
% 257.26/65.12 | | | | | | | (7313) all_4_94 = n4
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n2, n2,
% 257.26/65.12 | | | | | | | simplifying with (7311), (7312) gives:
% 257.26/65.12 | | | | | | | (7314) all_4_94 = all_4_95
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7313), (7314) imply:
% 257.26/65.12 | | | | | | | (7315) all_4_95 = n4
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (236), (7313) imply:
% 257.26/65.12 | | | | | | | (7316) pred(n4) = all_4_52
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (235), (7315) imply:
% 257.26/65.12 | | | | | | | (7317) pred(n4) = all_4_55
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (205), (7313) imply:
% 257.26/65.12 | | | | | | | (7318) succ(n4) = all_4_54
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (204), (7315) imply:
% 257.26/65.12 | | | | | | | (7319) succ(n4) = all_4_51
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_51, n4, simplifying
% 257.26/65.12 | | | | | | | with (191), (7319) gives:
% 257.26/65.12 | | | | | | | (7320) all_4_51 = n5
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n4,
% 257.26/65.12 | | | | | | | simplifying with (7318), (7319) gives:
% 257.26/65.12 | | | | | | | (7321) all_4_51 = all_4_54
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_52, n4, simplifying
% 257.26/65.12 | | | | | | | with (222), (7316) gives:
% 257.26/65.12 | | | | | | | (7322) all_4_52 = n3
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n4,
% 257.26/65.12 | | | | | | | simplifying with (7316), (7317) gives:
% 257.26/65.12 | | | | | | | (7323) all_4_52 = all_4_55
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7320), (7321) imply:
% 257.26/65.12 | | | | | | | (7324) all_4_54 = n5
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7324) implies:
% 257.26/65.12 | | | | | | | (7325) all_4_54 = n5
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7322), (7323) imply:
% 257.26/65.12 | | | | | | | (7326) all_4_55 = n3
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (149), (7320), (7322) imply:
% 257.26/65.12 | | | | | | | (7327) sum(n3, n5) = all_4_50
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (148), (7322), (7325) imply:
% 257.26/65.12 | | | | | | | (7328) sum(n3, n5) = all_4_48
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (146), (7320), (7326) imply:
% 257.26/65.12 | | | | | | | (7329) sum(n3, n5) = all_4_49
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (145), (7325), (7326) imply:
% 257.26/65.12 | | | | | | | (7330) sum(n3, n5) = all_4_53
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_50, n5, n3,
% 257.26/65.12 | | | | | | | simplifying with (44), (7327) gives:
% 257.26/65.12 | | | | | | | (7331) all_4_50 = n8
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n5, n3,
% 257.26/65.12 | | | | | | | simplifying with (7327), (7329) gives:
% 257.26/65.12 | | | | | | | (7332) all_4_49 = all_4_50
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n5, n3,
% 257.26/65.12 | | | | | | | simplifying with (7328), (7329) gives:
% 257.26/65.12 | | | | | | | (7333) all_4_48 = all_4_49
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n5, n3,
% 257.26/65.12 | | | | | | | simplifying with (7328), (7330) gives:
% 257.26/65.12 | | | | | | | (7334) all_4_48 = all_4_53
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7333), (7334) imply:
% 257.26/65.12 | | | | | | | (7335) all_4_49 = all_4_53
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7335) implies:
% 257.26/65.12 | | | | | | | (7336) all_4_49 = all_4_53
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7332), (7336) imply:
% 257.26/65.12 | | | | | | | (7337) all_4_50 = all_4_53
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7337) implies:
% 257.26/65.12 | | | | | | | (7338) all_4_50 = all_4_53
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7331), (7338) imply:
% 257.26/65.12 | | | | | | | (7339) all_4_53 = n8
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7336), (7339) imply:
% 257.26/65.12 | | | | | | | (7340) all_4_49 = n8
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7334), (7339) imply:
% 257.26/65.12 | | | | | | | (7341) all_4_48 = n8
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (150), (7340), (7341) imply:
% 257.26/65.12 | | | | | | | (7342) sum(n8, n8) = all_4_92
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (147), (7331), (7339) imply:
% 257.26/65.12 | | | | | | | (7343) sum(n8, n8) = all_4_93
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_92, n8, n8,
% 257.26/65.12 | | | | | | | simplifying with (102), (7342) gives:
% 257.26/65.12 | | | | | | | (7344) all_4_92 = n5
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n8, n8,
% 257.26/65.12 | | | | | | | simplifying with (7342), (7343) gives:
% 257.26/65.12 | | | | | | | (7345) all_4_92 = all_4_93
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7344), (7345) imply:
% 257.26/65.12 | | | | | | | (7346) all_4_93 = n5
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7346) implies:
% 257.26/65.12 | | | | | | | (7347) all_4_93 = n5
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (238), (7344) imply:
% 257.26/65.12 | | | | | | | (7348) pred(n5) = all_4_44
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (237), (7347) imply:
% 257.26/65.12 | | | | | | | (7349) pred(n5) = all_4_47
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (207), (7344) imply:
% 257.26/65.12 | | | | | | | (7350) succ(n5) = all_4_46
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (206), (7347) imply:
% 257.26/65.12 | | | | | | | (7351) succ(n5) = all_4_43
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_43, n5, simplifying
% 257.26/65.12 | | | | | | | with (192), (7351) gives:
% 257.26/65.12 | | | | | | | (7352) all_4_43 = n6
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n5,
% 257.26/65.12 | | | | | | | simplifying with (7350), (7351) gives:
% 257.26/65.12 | | | | | | | (7353) all_4_43 = all_4_46
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_44, n5, simplifying
% 257.26/65.12 | | | | | | | with (223), (7348) gives:
% 257.26/65.12 | | | | | | | (7354) all_4_44 = n4
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n5,
% 257.26/65.12 | | | | | | | simplifying with (7348), (7349) gives:
% 257.26/65.12 | | | | | | | (7355) all_4_44 = all_4_47
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7352), (7353) imply:
% 257.26/65.12 | | | | | | | (7356) all_4_46 = n6
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7356) implies:
% 257.26/65.12 | | | | | | | (7357) all_4_46 = n6
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7354), (7355) imply:
% 257.26/65.12 | | | | | | | (7358) all_4_47 = n4
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (155), (7352), (7354) imply:
% 257.26/65.12 | | | | | | | (7359) sum(n4, n6) = all_4_42
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (154), (7354), (7357) imply:
% 257.26/65.12 | | | | | | | (7360) sum(n4, n6) = all_4_40
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (152), (7352), (7358) imply:
% 257.26/65.12 | | | | | | | (7361) sum(n4, n6) = all_4_41
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (151), (7357), (7358) imply:
% 257.26/65.12 | | | | | | | (7362) sum(n4, n6) = all_4_45
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_42, n6, n4,
% 257.26/65.12 | | | | | | | simplifying with (56), (7359) gives:
% 257.26/65.12 | | | | | | | (7363) all_4_42 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n6, n4,
% 257.26/65.12 | | | | | | | simplifying with (7359), (7361) gives:
% 257.26/65.12 | | | | | | | (7364) all_4_41 = all_4_42
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n6, n4,
% 257.26/65.12 | | | | | | | simplifying with (7360), (7361) gives:
% 257.26/65.12 | | | | | | | (7365) all_4_40 = all_4_41
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n6, n4,
% 257.26/65.12 | | | | | | | simplifying with (7360), (7362) gives:
% 257.26/65.12 | | | | | | | (7366) all_4_40 = all_4_45
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7365), (7366) imply:
% 257.26/65.12 | | | | | | | (7367) all_4_41 = all_4_45
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7367) implies:
% 257.26/65.12 | | | | | | | (7368) all_4_41 = all_4_45
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7364), (7368) imply:
% 257.26/65.12 | | | | | | | (7369) all_4_42 = all_4_45
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7369) implies:
% 257.26/65.12 | | | | | | | (7370) all_4_42 = all_4_45
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7363), (7370) imply:
% 257.26/65.12 | | | | | | | (7371) all_4_45 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7368), (7371) imply:
% 257.26/65.12 | | | | | | | (7372) all_4_41 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7366), (7371) imply:
% 257.26/65.12 | | | | | | | (7373) all_4_40 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (156), (7372), (7373) imply:
% 257.26/65.12 | | | | | | | (7374) sum(n10, n10) = all_4_90
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (153), (7363), (7371) imply:
% 257.26/65.12 | | | | | | | (7375) sum(n10, n10) = all_4_91
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_90, n10, n10,
% 257.26/65.12 | | | | | | | simplifying with (126), (7374) gives:
% 257.26/65.12 | | | | | | | (7376) all_4_90 = n9
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n10, n10,
% 257.26/65.12 | | | | | | | simplifying with (7374), (7375) gives:
% 257.26/65.12 | | | | | | | (7377) all_4_90 = all_4_91
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7376), (7377) imply:
% 257.26/65.12 | | | | | | | (7378) all_4_91 = n9
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (240), (7376) imply:
% 257.26/65.12 | | | | | | | (7379) pred(n9) = all_4_36
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (239), (7378) imply:
% 257.26/65.12 | | | | | | | (7380) pred(n9) = all_4_39
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (209), (7376) imply:
% 257.26/65.12 | | | | | | | (7381) succ(n9) = all_4_38
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (208), (7378) imply:
% 257.26/65.12 | | | | | | | (7382) succ(n9) = all_4_35
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_35, n9, simplifying
% 257.26/65.12 | | | | | | | with (196), (7382) gives:
% 257.26/65.12 | | | | | | | (7383) all_4_35 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n9,
% 257.26/65.12 | | | | | | | simplifying with (7381), (7382) gives:
% 257.26/65.12 | | | | | | | (7384) all_4_35 = all_4_38
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_36, n9, simplifying
% 257.26/65.12 | | | | | | | with (227), (7379) gives:
% 257.26/65.12 | | | | | | | (7385) all_4_36 = n8
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n9,
% 257.26/65.12 | | | | | | | simplifying with (7379), (7380) gives:
% 257.26/65.12 | | | | | | | (7386) all_4_36 = all_4_39
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7383), (7384) imply:
% 257.26/65.12 | | | | | | | (7387) all_4_38 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | SIMP: (7387) implies:
% 257.26/65.12 | | | | | | | (7388) all_4_38 = n10
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | COMBINE_EQS: (7385), (7386) imply:
% 257.26/65.12 | | | | | | | (7389) all_4_39 = n8
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (161), (7383), (7385) imply:
% 257.26/65.12 | | | | | | | (7390) sum(n8, n10) = all_4_34
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (160), (7385), (7388) imply:
% 257.26/65.12 | | | | | | | (7391) sum(n8, n10) = all_4_32
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (158), (7383), (7389) imply:
% 257.26/65.12 | | | | | | | (7392) sum(n8, n10) = all_4_33
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | REDUCE: (157), (7388), (7389) imply:
% 257.26/65.12 | | | | | | | (7393) sum(n8, n10) = all_4_37
% 257.26/65.12 | | | | | | |
% 257.26/65.12 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_34, n10, n8,
% 257.26/65.12 | | | | | | | simplifying with (104), (7390) gives:
% 257.26/65.12 | | | | | | | (7394) all_4_34 = n7
% 257.26/65.12 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n10, n8,
% 257.26/65.13 | | | | | | | simplifying with (7390), (7392) gives:
% 257.26/65.13 | | | | | | | (7395) all_4_33 = all_4_34
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n10, n8,
% 257.26/65.13 | | | | | | | simplifying with (7391), (7392) gives:
% 257.26/65.13 | | | | | | | (7396) all_4_32 = all_4_33
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n10, n8,
% 257.26/65.13 | | | | | | | simplifying with (7391), (7393) gives:
% 257.26/65.13 | | | | | | | (7397) all_4_32 = all_4_37
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7396), (7397) imply:
% 257.26/65.13 | | | | | | | (7398) all_4_33 = all_4_37
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | SIMP: (7398) implies:
% 257.26/65.13 | | | | | | | (7399) all_4_33 = all_4_37
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7395), (7399) imply:
% 257.26/65.13 | | | | | | | (7400) all_4_34 = all_4_37
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | SIMP: (7400) implies:
% 257.26/65.13 | | | | | | | (7401) all_4_34 = all_4_37
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7394), (7401) imply:
% 257.26/65.13 | | | | | | | (7402) all_4_37 = n7
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7399), (7402) imply:
% 257.26/65.13 | | | | | | | (7403) all_4_33 = n7
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7397), (7402) imply:
% 257.26/65.13 | | | | | | | (7404) all_4_32 = n7
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (162), (7403), (7404) imply:
% 257.26/65.13 | | | | | | | (7405) sum(n7, n7) = all_4_88
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (159), (7394), (7402) imply:
% 257.26/65.13 | | | | | | | (7406) sum(n7, n7) = all_4_89
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_88, n7, n7,
% 257.26/65.13 | | | | | | | simplifying with (90), (7405) gives:
% 257.26/65.13 | | | | | | | (7407) all_4_88 = n3
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n7, n7,
% 257.26/65.13 | | | | | | | simplifying with (7405), (7406) gives:
% 257.26/65.13 | | | | | | | (7408) all_4_88 = all_4_89
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7407), (7408) imply:
% 257.26/65.13 | | | | | | | (7409) all_4_89 = n3
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (242), (7407) imply:
% 257.26/65.13 | | | | | | | (7410) pred(n3) = all_4_28
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (241), (7409) imply:
% 257.26/65.13 | | | | | | | (7411) pred(n3) = all_4_31
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (211), (7407) imply:
% 257.26/65.13 | | | | | | | (7412) succ(n3) = all_4_30
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (210), (7409) imply:
% 257.26/65.13 | | | | | | | (7413) succ(n3) = all_4_27
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_27, n3, simplifying
% 257.26/65.13 | | | | | | | with (190), (7413) gives:
% 257.26/65.13 | | | | | | | (7414) all_4_27 = n4
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n3,
% 257.26/65.13 | | | | | | | simplifying with (7412), (7413) gives:
% 257.26/65.13 | | | | | | | (7415) all_4_27 = all_4_30
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_28, n3, simplifying
% 257.26/65.13 | | | | | | | with (221), (7410) gives:
% 257.26/65.13 | | | | | | | (7416) all_4_28 = n2
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n3,
% 257.26/65.13 | | | | | | | simplifying with (7410), (7411) gives:
% 257.26/65.13 | | | | | | | (7417) all_4_28 = all_4_31
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7414), (7415) imply:
% 257.26/65.13 | | | | | | | (7418) all_4_30 = n4
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | SIMP: (7418) implies:
% 257.26/65.13 | | | | | | | (7419) all_4_30 = n4
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7416), (7417) imply:
% 257.26/65.13 | | | | | | | (7420) all_4_31 = n2
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (167), (7414), (7416) imply:
% 257.26/65.13 | | | | | | | (7421) sum(n2, n4) = all_4_26
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (166), (7416), (7419) imply:
% 257.26/65.13 | | | | | | | (7422) sum(n2, n4) = all_4_24
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (164), (7414), (7420) imply:
% 257.26/65.13 | | | | | | | (7423) sum(n2, n4) = all_4_25
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (163), (7419), (7420) imply:
% 257.26/65.13 | | | | | | | (7424) sum(n2, n4) = all_4_29
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_26, n4, n2,
% 257.26/65.13 | | | | | | | simplifying with (32), (7421) gives:
% 257.26/65.13 | | | | | | | (7425) all_4_26 = n6
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n4, n2,
% 257.26/65.13 | | | | | | | simplifying with (7421), (7423) gives:
% 257.26/65.13 | | | | | | | (7426) all_4_25 = all_4_26
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n4, n2,
% 257.26/65.13 | | | | | | | simplifying with (7422), (7423) gives:
% 257.26/65.13 | | | | | | | (7427) all_4_24 = all_4_25
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n4, n2,
% 257.26/65.13 | | | | | | | simplifying with (7422), (7424) gives:
% 257.26/65.13 | | | | | | | (7428) all_4_24 = all_4_29
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7427), (7428) imply:
% 257.26/65.13 | | | | | | | (7429) all_4_25 = all_4_29
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | SIMP: (7429) implies:
% 257.26/65.13 | | | | | | | (7430) all_4_25 = all_4_29
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7426), (7430) imply:
% 257.26/65.13 | | | | | | | (7431) all_4_26 = all_4_29
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | SIMP: (7431) implies:
% 257.26/65.13 | | | | | | | (7432) all_4_26 = all_4_29
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7425), (7432) imply:
% 257.26/65.13 | | | | | | | (7433) all_4_29 = n6
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7430), (7433) imply:
% 257.26/65.13 | | | | | | | (7434) all_4_25 = n6
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7428), (7433) imply:
% 257.26/65.13 | | | | | | | (7435) all_4_24 = n6
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (168), (7434), (7435) imply:
% 257.26/65.13 | | | | | | | (7436) sum(n6, n6) = all_4_86
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (165), (7425), (7433) imply:
% 257.26/65.13 | | | | | | | (7437) sum(n6, n6) = all_4_87
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_86, n6, n6,
% 257.26/65.13 | | | | | | | simplifying with (78), (7436) gives:
% 257.26/65.13 | | | | | | | (7438) all_4_86 = n1
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n6, n6,
% 257.26/65.13 | | | | | | | simplifying with (7436), (7437) gives:
% 257.26/65.13 | | | | | | | (7439) all_4_86 = all_4_87
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | COMBINE_EQS: (7438), (7439) imply:
% 257.26/65.13 | | | | | | | (7440) all_4_87 = n1
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | SIMP: (7440) implies:
% 257.26/65.13 | | | | | | | (7441) all_4_87 = n1
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (244), (7438) imply:
% 257.26/65.13 | | | | | | | (7442) pred(n1) = all_4_20
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (243), (7441) imply:
% 257.26/65.13 | | | | | | | (7443) pred(n1) = all_4_23
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (213), (7438) imply:
% 257.26/65.13 | | | | | | | (7444) succ(n1) = all_4_22
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | REDUCE: (212), (7441) imply:
% 257.26/65.13 | | | | | | | (7445) succ(n1) = all_4_19
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | BETA: splitting (7233) gives:
% 257.26/65.13 | | | | | | |
% 257.26/65.13 | | | | | | | Case 1:
% 257.26/65.13 | | | | | | | |
% 257.26/65.13 | | | | | | | | (7446) ~ (all_4_84 = all_4_85)
% 257.26/65.13 | | | | | | | |
% 257.26/65.13 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_19, n1,
% 257.26/65.13 | | | | | | | | simplifying with (188), (7445) gives:
% 257.26/65.13 | | | | | | | | (7447) all_4_19 = n2
% 257.26/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (169), (170), (171), (172),
% 257.28/65.13 | | | | | | | | (173), (174), (219), (7442), (7443), (7444), (7445),
% 257.28/65.13 | | | | | | | | (7446), (7447) are inconsistent by sub-proof #173.
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | Case 2:
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | | (7448) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) |
% 257.28/65.13 | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) |
% 257.28/65.13 | | | | | | | | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 257.28/65.13 | | | | | | | | ~ (all_4_98 = all_4_99)
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (163), (164), (165),
% 257.28/65.13 | | | | | | | | (166), (167), (168), (190), (221), (7251), (7254),
% 257.28/65.13 | | | | | | | | (7282), (7284), (7313), (7315), (7344), (7347),
% 257.28/65.13 | | | | | | | | (7376), (7378), (7407), (7409), (7410), (7411),
% 257.28/65.13 | | | | | | | | (7412), (7413), (7448) are inconsistent by sub-proof
% 257.28/65.13 | | | | | | | | #92.
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | End of split
% 257.28/65.13 | | | | | | |
% 257.28/65.13 | | | | | | Case 2:
% 257.28/65.13 | | | | | | |
% 257.28/65.13 | | | | | | | (7449) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 257.28/65.13 | | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.28/65.13 | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.13 | | | | | | |
% 257.28/65.13 | | | | | | | BETA: splitting (7233) gives:
% 257.28/65.13 | | | | | | |
% 257.28/65.13 | | | | | | | Case 1:
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | | (7450) ~ (all_4_84 = all_4_85)
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | | BETA: splitting (7449) gives:
% 257.28/65.13 | | | | | | | |
% 257.28/65.13 | | | | | | | | Case 1:
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | (7451) all_4_100 = n8
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (230), (7451) imply:
% 257.28/65.13 | | | | | | | | | (7452) pred(n8) = all_4_76
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (199), (7451) imply:
% 257.28/65.13 | | | | | | | | | (7453) succ(n8) = all_4_78
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 257.28/65.13 | | | | | | | | | simplifying with (195), (7453) gives:
% 257.28/65.13 | | | | | | | | | (7454) all_4_78 = n9
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 257.28/65.13 | | | | | | | | | simplifying with (226), (7452) gives:
% 257.28/65.13 | | | | | | | | | (7455) all_4_76 = n7
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (130), (7454), (7455) imply:
% 257.28/65.13 | | | | | | | | | (7456) sum(n7, n9) = all_4_72
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (7063), (7455) imply:
% 257.28/65.13 | | | | | | | | | (7457) sum(n7, n10) = all_4_74
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (7065), (7454) imply:
% 257.28/65.13 | | | | | | | | | (7458) sum(n8, n9) = all_4_77
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 257.28/65.13 | | | | | | | | | simplifying with (92), (7456) gives:
% 257.28/65.13 | | | | | | | | | (7459) all_4_72 = n5
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n10, n7,
% 257.28/65.13 | | | | | | | | | simplifying with (93), (7457) gives:
% 257.28/65.13 | | | | | | | | | (7460) all_4_74 = n6
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n9, n8,
% 257.28/65.13 | | | | | | | | | simplifying with (103), (7458) gives:
% 257.28/65.13 | | | | | | | | | (7461) all_4_77 = n6
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (129), (7460), (7461) imply:
% 257.28/65.13 | | | | | | | | | (7462) sum(n6, n6) = all_4_99
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REDUCE: (7067), (7459) imply:
% 257.28/65.13 | | | | | | | | | (7463) sum(n7, n5) = all_4_98
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 257.28/65.13 | | | | | | | | | simplifying with (78), (7462) gives:
% 257.28/65.13 | | | | | | | | | (7464) all_4_99 = n1
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n5, n7,
% 257.28/65.13 | | | | | | | | | simplifying with (88), (7463) gives:
% 257.28/65.13 | | | | | | | | | (7465) all_4_98 = n1
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 257.28/65.13 | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.28/65.13 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.13 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.13 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.13 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.13 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.13 | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 257.28/65.13 | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 257.28/65.13 | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.13 | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 257.28/65.13 | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.13 | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.13 | | | | | | | | | (7462), (7464), (7465) are inconsistent by
% 257.28/65.13 | | | | | | | | | sub-proof #171.
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | Case 2:
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | (7466) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 257.28/65.13 | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.28/65.13 | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | BETA: splitting (7466) gives:
% 257.28/65.13 | | | | | | | | |
% 257.28/65.13 | | | | | | | | | Case 1:
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | (7467) all_4_100 = n7
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (230), (7467) imply:
% 257.28/65.13 | | | | | | | | | | (7468) pred(n7) = all_4_76
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (199), (7467) imply:
% 257.28/65.13 | | | | | | | | | | (7469) succ(n7) = all_4_78
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.28/65.13 | | | | | | | | | | simplifying with (194), (7469) gives:
% 257.28/65.13 | | | | | | | | | | (7470) all_4_78 = n8
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.28/65.13 | | | | | | | | | | simplifying with (225), (7468) gives:
% 257.28/65.13 | | | | | | | | | | (7471) all_4_76 = n6
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (130), (7470), (7471) imply:
% 257.28/65.13 | | | | | | | | | | (7472) sum(n6, n8) = all_4_72
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (7063), (7471) imply:
% 257.28/65.13 | | | | | | | | | | (7473) sum(n6, n10) = all_4_74
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (7065), (7470) imply:
% 257.28/65.13 | | | | | | | | | | (7474) sum(n8, n8) = all_4_77
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 257.28/65.13 | | | | | | | | | | simplifying with (80), (7472) gives:
% 257.28/65.13 | | | | | | | | | | (7475) all_4_72 = n3
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n10, n6,
% 257.28/65.13 | | | | | | | | | | simplifying with (82), (7473) gives:
% 257.28/65.13 | | | | | | | | | | (7476) all_4_74 = n5
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n8, n8,
% 257.28/65.13 | | | | | | | | | | simplifying with (102), (7474) gives:
% 257.28/65.13 | | | | | | | | | | (7477) all_4_77 = n5
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (129), (7476), (7477) imply:
% 257.28/65.13 | | | | | | | | | | (7478) sum(n5, n5) = all_4_99
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REDUCE: (7067), (7475) imply:
% 257.28/65.13 | | | | | | | | | | (7479) sum(n7, n3) = all_4_98
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 257.28/65.13 | | | | | | | | | | simplifying with (66), (7478) gives:
% 257.28/65.13 | | | | | | | | | | (7480) all_4_99 = n10
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n3, n7,
% 257.28/65.13 | | | | | | | | | | simplifying with (86), (7479) gives:
% 257.28/65.13 | | | | | | | | | | (7481) all_4_98 = n10
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 257.28/65.13 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.13 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.13 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.13 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.13 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.13 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.13 | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 257.28/65.13 | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 257.28/65.13 | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.13 | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 257.28/65.13 | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.13 | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.13 | | | | | | | | | | (7478), (7480), (7481) are inconsistent by
% 257.28/65.13 | | | | | | | | | | sub-proof #170.
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | Case 2:
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | (7482) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.28/65.13 | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.28/65.13 | | | | | | | | | | all_4_100 = n0
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | BETA: splitting (7482) gives:
% 257.28/65.13 | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | Case 1:
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | (7483) all_4_100 = n6
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | REDUCE: (230), (7483) imply:
% 257.28/65.13 | | | | | | | | | | | (7484) pred(n6) = all_4_76
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | REDUCE: (199), (7483) imply:
% 257.28/65.13 | | | | | | | | | | | (7485) succ(n6) = all_4_78
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.28/65.13 | | | | | | | | | | | simplifying with (193), (7485) gives:
% 257.28/65.13 | | | | | | | | | | | (7486) all_4_78 = n7
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.28/65.13 | | | | | | | | | | | simplifying with (224), (7484) gives:
% 257.28/65.13 | | | | | | | | | | | (7487) all_4_76 = n5
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | REDUCE: (130), (7486), (7487) imply:
% 257.28/65.13 | | | | | | | | | | | (7488) sum(n5, n7) = all_4_72
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | REDUCE: (7063), (7487) imply:
% 257.28/65.13 | | | | | | | | | | | (7489) sum(n5, n10) = all_4_74
% 257.28/65.13 | | | | | | | | | | |
% 257.28/65.13 | | | | | | | | | | | REDUCE: (7065), (7486) imply:
% 257.28/65.14 | | | | | | | | | | | (7490) sum(n8, n7) = all_4_77
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.28/65.14 | | | | | | | | | | | simplifying with (68), (7488) gives:
% 257.28/65.14 | | | | | | | | | | | (7491) all_4_72 = n1
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n10, n5,
% 257.28/65.14 | | | | | | | | | | | simplifying with (71), (7489) gives:
% 257.28/65.14 | | | | | | | | | | | (7492) all_4_74 = n4
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n7, n8,
% 257.28/65.14 | | | | | | | | | | | simplifying with (101), (7490) gives:
% 257.28/65.14 | | | | | | | | | | | (7493) all_4_77 = n4
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | REDUCE: (129), (7492), (7493) imply:
% 257.28/65.14 | | | | | | | | | | | (7494) sum(n4, n4) = all_4_99
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | REDUCE: (7067), (7491) imply:
% 257.28/65.14 | | | | | | | | | | | (7495) sum(n7, n1) = all_4_98
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.28/65.14 | | | | | | | | | | | simplifying with (54), (7494) gives:
% 257.28/65.14 | | | | | | | | | | | (7496) all_4_99 = n8
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n1, n7,
% 257.28/65.14 | | | | | | | | | | | simplifying with (84), (7495) gives:
% 257.28/65.14 | | | | | | | | | | | (7497) all_4_98 = n8
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.28/65.14 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.14 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.14 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.14 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.14 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.14 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.14 | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 257.28/65.14 | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 257.28/65.14 | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.14 | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 257.28/65.14 | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.14 | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.14 | | | | | | | | | | | (7494), (7496), (7497) are inconsistent by
% 257.28/65.14 | | | | | | | | | | | sub-proof #169.
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | Case 2:
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | (7498) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.28/65.14 | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | BETA: splitting (7498) gives:
% 257.28/65.14 | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | Case 1:
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | (7499) all_4_100 = n5
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (230), (7499) imply:
% 257.28/65.14 | | | | | | | | | | | | (7500) pred(n5) = all_4_76
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (199), (7499) imply:
% 257.28/65.14 | | | | | | | | | | | | (7501) succ(n5) = all_4_78
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (192), (7501) gives:
% 257.28/65.14 | | | | | | | | | | | | (7502) all_4_78 = n6
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (223), (7500) gives:
% 257.28/65.14 | | | | | | | | | | | | (7503) all_4_76 = n4
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (130), (7502), (7503) imply:
% 257.28/65.14 | | | | | | | | | | | | (7504) sum(n4, n6) = all_4_72
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (7063), (7503) imply:
% 257.28/65.14 | | | | | | | | | | | | (7505) sum(n4, n10) = all_4_74
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (7065), (7502) imply:
% 257.28/65.14 | | | | | | | | | | | | (7506) sum(n8, n6) = all_4_77
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (56), (7504) gives:
% 257.28/65.14 | | | | | | | | | | | | (7507) all_4_72 = n10
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (60), (7505) gives:
% 257.28/65.14 | | | | | | | | | | | | (7508) all_4_74 = n3
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (100), (7506) gives:
% 257.28/65.14 | | | | | | | | | | | | (7509) all_4_77 = n3
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (129), (7508), (7509) imply:
% 257.28/65.14 | | | | | | | | | | | | (7510) sum(n3, n3) = all_4_99
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REDUCE: (7067), (7507) imply:
% 257.28/65.14 | | | | | | | | | | | | (7511) sum(n7, n10) = all_4_98
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (42), (7510) gives:
% 257.28/65.14 | | | | | | | | | | | | (7512) all_4_99 = n6
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 257.28/65.14 | | | | | | | | | | | | simplifying with (93), (7511) gives:
% 257.28/65.14 | | | | | | | | | | | | (7513) all_4_98 = n6
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.28/65.14 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.14 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.14 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.14 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.14 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.14 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.14 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 257.28/65.14 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 257.28/65.14 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.14 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 257.28/65.14 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.14 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.14 | | | | | | | | | | | | (7510), (7512), (7513) are inconsistent by
% 257.28/65.14 | | | | | | | | | | | | sub-proof #168.
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | Case 2:
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | (7514) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.28/65.14 | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | BETA: splitting (7514) gives:
% 257.28/65.14 | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | Case 1:
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | (7515) all_4_100 = n4
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (230), (7515) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7516) pred(n4) = all_4_76
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (199), (7515) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7517) succ(n4) = all_4_78
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (191), (7517) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7518) all_4_78 = n5
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (222), (7516) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7519) all_4_76 = n3
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (130), (7518), (7519) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7520) sum(n3, n5) = all_4_72
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (7063), (7519) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7521) sum(n3, n10) = all_4_74
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (7065), (7518) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7522) sum(n8, n5) = all_4_77
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (44), (7520) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7523) all_4_72 = n8
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (49), (7521) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7524) all_4_74 = n2
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (99), (7522) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7525) all_4_77 = n2
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (129), (7524), (7525) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7526) sum(n2, n2) = all_4_99
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REDUCE: (7067), (7523) imply:
% 257.28/65.14 | | | | | | | | | | | | | (7527) sum(n7, n8) = all_4_98
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (30), (7526) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7528) all_4_99 = n4
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.28/65.14 | | | | | | | | | | | | | simplifying with (91), (7527) gives:
% 257.28/65.14 | | | | | | | | | | | | | (7529) all_4_98 = n4
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.28/65.14 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.28/65.14 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.14 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.14 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.14 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.14 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.14 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 257.28/65.14 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 257.28/65.14 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.14 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 257.28/65.14 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.14 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.14 | | | | | | | | | | | | | (7526), (7528), (7529) are inconsistent by
% 257.28/65.14 | | | | | | | | | | | | | sub-proof #167.
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | Case 2:
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | (7530) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.28/65.14 | | | | | | | | | | | | | all_4_100 = n0
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | BETA: splitting (7530) gives:
% 257.28/65.14 | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | Case 1:
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | (7531) all_4_100 = n3
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (230), (7531) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7532) pred(n3) = all_4_76
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (199), (7531) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7533) succ(n3) = all_4_78
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (190), (7533) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7534) all_4_78 = n4
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (221), (7532) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7535) all_4_76 = n2
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (130), (7534), (7535) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7536) sum(n2, n4) = all_4_72
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (7063), (7535) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7537) sum(n2, n10) = all_4_74
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (7065), (7534) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7538) sum(n8, n4) = all_4_77
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (32), (7536) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7539) all_4_72 = n6
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (38), (7537) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7540) all_4_74 = n1
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (98), (7538) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7541) all_4_77 = n1
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (129), (7540), (7541) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7542) sum(n1, n1) = all_4_99
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REDUCE: (7067), (7539) imply:
% 257.28/65.14 | | | | | | | | | | | | | | (7543) sum(n7, n6) = all_4_98
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (18), (7542) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7544) all_4_99 = n2
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.28/65.14 | | | | | | | | | | | | | | simplifying with (89), (7543) gives:
% 257.28/65.14 | | | | | | | | | | | | | | (7545) all_4_98 = n2
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.28/65.14 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.14 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.14 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.14 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.14 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.14 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.14 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 257.28/65.14 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 257.28/65.14 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.14 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 257.28/65.14 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.14 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.14 | | | | | | | | | | | | | | (7542), (7544), (7545) are inconsistent by
% 257.28/65.14 | | | | | | | | | | | | | | sub-proof #166.
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | Case 2:
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | (7546) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | BETA: splitting (7546) gives:
% 257.28/65.14 | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | Case 1:
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | (7547) all_4_100 = n2
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (230), (7547) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7548) pred(n2) = all_4_76
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (199), (7547) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7549) succ(n2) = all_4_78
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (189), (7549) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7550) all_4_78 = n3
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (220), (7548) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7551) all_4_76 = n1
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (130), (7550), (7551) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7552) sum(n1, n3) = all_4_72
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (7063), (7551) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7553) sum(n1, n10) = all_4_74
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (7065), (7550) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7554) sum(n8, n3) = all_4_77
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (20), (7552) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7555) all_4_72 = n4
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (27), (7553) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7556) all_4_74 = n0
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (97), (7554) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7557) all_4_77 = n0
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (129), (7556), (7557) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7558) sum(n0, n0) = all_4_99
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REDUCE: (7067), (7555) imply:
% 257.28/65.14 | | | | | | | | | | | | | | | (7559) sum(n7, n4) = all_4_98
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (6), (7558) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7560) all_4_99 = n0
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.28/65.14 | | | | | | | | | | | | | | | simplifying with (87), (7559) gives:
% 257.28/65.14 | | | | | | | | | | | | | | | (7561) all_4_98 = n0
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.28/65.14 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.14 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.14 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.14 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.14 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.14 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 257.28/65.14 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 257.28/65.14 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 257.28/65.14 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.14 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (7450), (7558),
% 257.28/65.14 | | | | | | | | | | | | | | | (7560), (7561) are inconsistent by sub-proof #164.
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.14 | | | | | | | | | | | | | | Case 2:
% 257.28/65.14 | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | (7562) all_4_100 = n1 | all_4_100 = n0
% 257.28/65.15 | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | BETA: splitting (7562) gives:
% 257.28/65.15 | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | Case 1:
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | (7563) all_4_100 = n1
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (230), (7563) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7564) pred(n1) = all_4_76
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (199), (7563) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7565) succ(n1) = all_4_78
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (188), (7565) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7566) all_4_78 = n2
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (219), (7564) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7567) all_4_76 = n0
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (130), (7566), (7567) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7568) sum(n0, n2) = all_4_72
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (7063), (7567) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7569) sum(n0, n10) = all_4_74
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (7065), (7566) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7570) sum(n8, n2) = all_4_77
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (8), (7568) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7571) all_4_72 = n2
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (16), (7569) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7572) all_4_74 = n10
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (96), (7570) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7573) all_4_77 = n10
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (129), (7572), (7573) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7574) sum(n10, n10) = all_4_99
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (7067), (7571) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7575) sum(n7, n2) = all_4_98
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (85), (7575) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7576) all_4_98 = n9
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (126), (7574) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7577) all_4_99 = n9
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.28/65.15 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.28/65.15 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.15 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.15 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.15 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.15 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.15 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 257.28/65.15 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 257.28/65.15 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.15 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 257.28/65.15 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.15 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7450),
% 257.28/65.15 | | | | | | | | | | | | | | | | (7574), (7576), (7577) are inconsistent by
% 257.28/65.15 | | | | | | | | | | | | | | | | sub-proof #163.
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | Case 2:
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | (7578) all_4_100 = n0
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (230), (7578) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7579) pred(n0) = all_4_76
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (199), (7578) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7580) succ(n0) = all_4_78
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (187), (7580) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7581) all_4_78 = n1
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (218), (7579) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7582) all_4_76 = n10
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (130), (7581), (7582) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7583) sum(n10, n1) = all_4_72
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (7063), (7582) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7584) sum(n10, n10) = all_4_74
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (7065), (7581) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7585) sum(n8, n1) = all_4_77
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (95), (7585) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7586) all_4_77 = n9
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (117), (7583) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7587) all_4_72 = n0
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (126), (7584) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7588) all_4_74 = n9
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (129), (7586), (7588) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7589) sum(n9, n9) = all_4_99
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REDUCE: (7067), (7587) imply:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7590) sum(n7, n0) = all_4_98
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (83), (7590) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7591) all_4_98 = n7
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.28/65.15 | | | | | | | | | | | | | | | | simplifying with (114), (7589) gives:
% 257.28/65.15 | | | | | | | | | | | | | | | | (7592) all_4_99 = n7
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.28/65.15 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.28/65.15 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.15 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.15 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.15 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.15 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.28/65.15 | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 257.28/65.15 | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 257.28/65.15 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.28/65.15 | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 257.28/65.15 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.28/65.15 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (7233),
% 257.28/65.15 | | | | | | | | | | | | | | | | (7589), (7591), (7592) are inconsistent by
% 257.28/65.15 | | | | | | | | | | | | | | | | sub-proof #85.
% 257.28/65.15 | | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | | |
% 257.28/65.15 | | | | | | | | | End of split
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | End of split
% 257.28/65.15 | | | | | | | |
% 257.28/65.15 | | | | | | | Case 2:
% 257.28/65.15 | | | | | | | |
% 257.28/65.15 | | | | | | | | (7593) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) |
% 257.28/65.15 | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) |
% 257.28/65.15 | | | | | | | | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 257.28/65.15 | | | | | | | | ~ (all_4_98 = all_4_99)
% 257.28/65.15 | | | | | | | |
% 257.28/65.15 | | | | | | | | BETA: splitting (7449) gives:
% 257.28/65.15 | | | | | | | |
% 257.28/65.15 | | | | | | | | Case 1:
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | (7594) all_4_100 = n8
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (230), (7594) imply:
% 257.28/65.15 | | | | | | | | | (7595) pred(n8) = all_4_76
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (199), (7594) imply:
% 257.28/65.15 | | | | | | | | | (7596) succ(n8) = all_4_78
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 257.28/65.15 | | | | | | | | | simplifying with (195), (7596) gives:
% 257.28/65.15 | | | | | | | | | (7597) all_4_78 = n9
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 257.28/65.15 | | | | | | | | | simplifying with (226), (7595) gives:
% 257.28/65.15 | | | | | | | | | (7598) all_4_76 = n7
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (130), (7597), (7598) imply:
% 257.28/65.15 | | | | | | | | | (7599) sum(n7, n9) = all_4_72
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (7063), (7598) imply:
% 257.28/65.15 | | | | | | | | | (7600) sum(n7, n10) = all_4_74
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (7065), (7597) imply:
% 257.28/65.15 | | | | | | | | | (7601) sum(n8, n9) = all_4_77
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 257.28/65.15 | | | | | | | | | simplifying with (92), (7599) gives:
% 257.28/65.15 | | | | | | | | | (7602) all_4_72 = n5
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n10, n7,
% 257.28/65.15 | | | | | | | | | simplifying with (93), (7600) gives:
% 257.28/65.15 | | | | | | | | | (7603) all_4_74 = n6
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n9, n8,
% 257.28/65.15 | | | | | | | | | simplifying with (103), (7601) gives:
% 257.28/65.15 | | | | | | | | | (7604) all_4_77 = n6
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (129), (7603), (7604) imply:
% 257.28/65.15 | | | | | | | | | (7605) sum(n6, n6) = all_4_99
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (7067), (7602) imply:
% 257.28/65.15 | | | | | | | | | (7606) sum(n7, n5) = all_4_98
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 257.28/65.15 | | | | | | | | | simplifying with (78), (7605) gives:
% 257.28/65.15 | | | | | | | | | (7607) all_4_99 = n1
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n5, n7,
% 257.28/65.15 | | | | | | | | | simplifying with (88), (7606) gives:
% 257.28/65.15 | | | | | | | | | (7608) all_4_98 = n1
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (232), (7608) imply:
% 257.28/65.15 | | | | | | | | | (7609) pred(n1) = all_4_68
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (231), (7607) imply:
% 257.28/65.15 | | | | | | | | | (7610) pred(n1) = all_4_71
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (201), (7608) imply:
% 257.28/65.15 | | | | | | | | | (7611) succ(n1) = all_4_70
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (200), (7607) imply:
% 257.28/65.15 | | | | | | | | | (7612) succ(n1) = all_4_67
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_67, n1,
% 257.28/65.15 | | | | | | | | | simplifying with (188), (7612) gives:
% 257.28/65.15 | | | | | | | | | (7613) all_4_67 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n1,
% 257.28/65.15 | | | | | | | | | simplifying with (7611), (7612) gives:
% 257.28/65.15 | | | | | | | | | (7614) all_4_67 = all_4_70
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_68, n1,
% 257.28/65.15 | | | | | | | | | simplifying with (219), (7609) gives:
% 257.28/65.15 | | | | | | | | | (7615) all_4_68 = n0
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n1,
% 257.28/65.15 | | | | | | | | | simplifying with (7609), (7610) gives:
% 257.28/65.15 | | | | | | | | | (7616) all_4_68 = all_4_71
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7613), (7614) imply:
% 257.28/65.15 | | | | | | | | | (7617) all_4_70 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | SIMP: (7617) implies:
% 257.28/65.15 | | | | | | | | | (7618) all_4_70 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7615), (7616) imply:
% 257.28/65.15 | | | | | | | | | (7619) all_4_71 = n0
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (137), (7613), (7615) imply:
% 257.28/65.15 | | | | | | | | | (7620) sum(n0, n2) = all_4_66
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (136), (7615), (7618) imply:
% 257.28/65.15 | | | | | | | | | (7621) sum(n0, n2) = all_4_64
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (134), (7613), (7619) imply:
% 257.28/65.15 | | | | | | | | | (7622) sum(n0, n2) = all_4_65
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (133), (7618), (7619) imply:
% 257.28/65.15 | | | | | | | | | (7623) sum(n0, n2) = all_4_69
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_65, n2, n0,
% 257.28/65.15 | | | | | | | | | simplifying with (8), (7622) gives:
% 257.28/65.15 | | | | | | | | | (7624) all_4_65 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n2, n0,
% 257.28/65.15 | | | | | | | | | simplifying with (7620), (7622) gives:
% 257.28/65.15 | | | | | | | | | (7625) all_4_65 = all_4_66
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n2, n0,
% 257.28/65.15 | | | | | | | | | simplifying with (7620), (7621) gives:
% 257.28/65.15 | | | | | | | | | (7626) all_4_64 = all_4_66
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n2, n0,
% 257.28/65.15 | | | | | | | | | simplifying with (7621), (7623) gives:
% 257.28/65.15 | | | | | | | | | (7627) all_4_64 = all_4_69
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7626), (7627) imply:
% 257.28/65.15 | | | | | | | | | (7628) all_4_66 = all_4_69
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | SIMP: (7628) implies:
% 257.28/65.15 | | | | | | | | | (7629) all_4_66 = all_4_69
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7624), (7625) imply:
% 257.28/65.15 | | | | | | | | | (7630) all_4_66 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | SIMP: (7630) implies:
% 257.28/65.15 | | | | | | | | | (7631) all_4_66 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7629), (7631) imply:
% 257.28/65.15 | | | | | | | | | (7632) all_4_69 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7627), (7632) imply:
% 257.28/65.15 | | | | | | | | | (7633) all_4_64 = n2
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (138), (7624), (7633) imply:
% 257.28/65.15 | | | | | | | | | (7634) sum(n2, n2) = all_4_96
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (135), (7631), (7632) imply:
% 257.28/65.15 | | | | | | | | | (7635) sum(n2, n2) = all_4_97
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_96, n2, n2,
% 257.28/65.15 | | | | | | | | | simplifying with (30), (7634) gives:
% 257.28/65.15 | | | | | | | | | (7636) all_4_96 = n4
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n2, n2,
% 257.28/65.15 | | | | | | | | | simplifying with (7634), (7635) gives:
% 257.28/65.15 | | | | | | | | | (7637) all_4_96 = all_4_97
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7636), (7637) imply:
% 257.28/65.15 | | | | | | | | | (7638) all_4_97 = n4
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (234), (7636) imply:
% 257.28/65.15 | | | | | | | | | (7639) pred(n4) = all_4_60
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (233), (7638) imply:
% 257.28/65.15 | | | | | | | | | (7640) pred(n4) = all_4_63
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (203), (7636) imply:
% 257.28/65.15 | | | | | | | | | (7641) succ(n4) = all_4_62
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (202), (7638) imply:
% 257.28/65.15 | | | | | | | | | (7642) succ(n4) = all_4_59
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_59, n4,
% 257.28/65.15 | | | | | | | | | simplifying with (191), (7642) gives:
% 257.28/65.15 | | | | | | | | | (7643) all_4_59 = n5
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n4,
% 257.28/65.15 | | | | | | | | | simplifying with (7641), (7642) gives:
% 257.28/65.15 | | | | | | | | | (7644) all_4_59 = all_4_62
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_60, n4,
% 257.28/65.15 | | | | | | | | | simplifying with (222), (7639) gives:
% 257.28/65.15 | | | | | | | | | (7645) all_4_60 = n3
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n4,
% 257.28/65.15 | | | | | | | | | simplifying with (7639), (7640) gives:
% 257.28/65.15 | | | | | | | | | (7646) all_4_60 = all_4_63
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7643), (7644) imply:
% 257.28/65.15 | | | | | | | | | (7647) all_4_62 = n5
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | SIMP: (7647) implies:
% 257.28/65.15 | | | | | | | | | (7648) all_4_62 = n5
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7645), (7646) imply:
% 257.28/65.15 | | | | | | | | | (7649) all_4_63 = n3
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (143), (7643), (7645) imply:
% 257.28/65.15 | | | | | | | | | (7650) sum(n3, n5) = all_4_58
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (142), (7645), (7648) imply:
% 257.28/65.15 | | | | | | | | | (7651) sum(n3, n5) = all_4_56
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (140), (7643), (7649) imply:
% 257.28/65.15 | | | | | | | | | (7652) sum(n3, n5) = all_4_57
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (139), (7648), (7649) imply:
% 257.28/65.15 | | | | | | | | | (7653) sum(n3, n5) = all_4_61
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_58, n5, n3,
% 257.28/65.15 | | | | | | | | | simplifying with (44), (7650) gives:
% 257.28/65.15 | | | | | | | | | (7654) all_4_58 = n8
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n5, n3,
% 257.28/65.15 | | | | | | | | | simplifying with (7650), (7652) gives:
% 257.28/65.15 | | | | | | | | | (7655) all_4_57 = all_4_58
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n5, n3,
% 257.28/65.15 | | | | | | | | | simplifying with (7651), (7652) gives:
% 257.28/65.15 | | | | | | | | | (7656) all_4_56 = all_4_57
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n5, n3,
% 257.28/65.15 | | | | | | | | | simplifying with (7651), (7653) gives:
% 257.28/65.15 | | | | | | | | | (7657) all_4_56 = all_4_61
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7656), (7657) imply:
% 257.28/65.15 | | | | | | | | | (7658) all_4_57 = all_4_61
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | SIMP: (7658) implies:
% 257.28/65.15 | | | | | | | | | (7659) all_4_57 = all_4_61
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7655), (7659) imply:
% 257.28/65.15 | | | | | | | | | (7660) all_4_58 = all_4_61
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | SIMP: (7660) implies:
% 257.28/65.15 | | | | | | | | | (7661) all_4_58 = all_4_61
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7654), (7661) imply:
% 257.28/65.15 | | | | | | | | | (7662) all_4_61 = n8
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7659), (7662) imply:
% 257.28/65.15 | | | | | | | | | (7663) all_4_57 = n8
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7657), (7662) imply:
% 257.28/65.15 | | | | | | | | | (7664) all_4_56 = n8
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (144), (7663), (7664) imply:
% 257.28/65.15 | | | | | | | | | (7665) sum(n8, n8) = all_4_94
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (141), (7654), (7662) imply:
% 257.28/65.15 | | | | | | | | | (7666) sum(n8, n8) = all_4_95
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_94, n8, n8,
% 257.28/65.15 | | | | | | | | | simplifying with (102), (7665) gives:
% 257.28/65.15 | | | | | | | | | (7667) all_4_94 = n5
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n8, n8,
% 257.28/65.15 | | | | | | | | | simplifying with (7665), (7666) gives:
% 257.28/65.15 | | | | | | | | | (7668) all_4_94 = all_4_95
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | COMBINE_EQS: (7667), (7668) imply:
% 257.28/65.15 | | | | | | | | | (7669) all_4_95 = n5
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (236), (7667) imply:
% 257.28/65.15 | | | | | | | | | (7670) pred(n5) = all_4_52
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (235), (7669) imply:
% 257.28/65.15 | | | | | | | | | (7671) pred(n5) = all_4_55
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (205), (7667) imply:
% 257.28/65.15 | | | | | | | | | (7672) succ(n5) = all_4_54
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | REDUCE: (204), (7669) imply:
% 257.28/65.15 | | | | | | | | | (7673) succ(n5) = all_4_51
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_51, n5,
% 257.28/65.15 | | | | | | | | | simplifying with (192), (7673) gives:
% 257.28/65.15 | | | | | | | | | (7674) all_4_51 = n6
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n5,
% 257.28/65.15 | | | | | | | | | simplifying with (7672), (7673) gives:
% 257.28/65.15 | | | | | | | | | (7675) all_4_51 = all_4_54
% 257.28/65.15 | | | | | | | | |
% 257.28/65.15 | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_52, n5,
% 257.28/65.15 | | | | | | | | | simplifying with (223), (7670) gives:
% 257.28/65.15 | | | | | | | | | (7676) all_4_52 = n4
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n5,
% 257.28/65.16 | | | | | | | | | simplifying with (7670), (7671) gives:
% 257.28/65.16 | | | | | | | | | (7677) all_4_52 = all_4_55
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7674), (7675) imply:
% 257.28/65.16 | | | | | | | | | (7678) all_4_54 = n6
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7678) implies:
% 257.28/65.16 | | | | | | | | | (7679) all_4_54 = n6
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7676), (7677) imply:
% 257.28/65.16 | | | | | | | | | (7680) all_4_55 = n4
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (149), (7674), (7676) imply:
% 257.28/65.16 | | | | | | | | | (7681) sum(n4, n6) = all_4_50
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (148), (7676), (7679) imply:
% 257.28/65.16 | | | | | | | | | (7682) sum(n4, n6) = all_4_48
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (146), (7674), (7680) imply:
% 257.28/65.16 | | | | | | | | | (7683) sum(n4, n6) = all_4_49
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (145), (7679), (7680) imply:
% 257.28/65.16 | | | | | | | | | (7684) sum(n4, n6) = all_4_53
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_50, n6, n4,
% 257.28/65.16 | | | | | | | | | simplifying with (56), (7681) gives:
% 257.28/65.16 | | | | | | | | | (7685) all_4_50 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n6, n4,
% 257.28/65.16 | | | | | | | | | simplifying with (7681), (7683) gives:
% 257.28/65.16 | | | | | | | | | (7686) all_4_49 = all_4_50
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n6, n4,
% 257.28/65.16 | | | | | | | | | simplifying with (7682), (7683) gives:
% 257.28/65.16 | | | | | | | | | (7687) all_4_48 = all_4_49
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n6, n4,
% 257.28/65.16 | | | | | | | | | simplifying with (7682), (7684) gives:
% 257.28/65.16 | | | | | | | | | (7688) all_4_48 = all_4_53
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7687), (7688) imply:
% 257.28/65.16 | | | | | | | | | (7689) all_4_49 = all_4_53
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7689) implies:
% 257.28/65.16 | | | | | | | | | (7690) all_4_49 = all_4_53
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7686), (7690) imply:
% 257.28/65.16 | | | | | | | | | (7691) all_4_50 = all_4_53
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7691) implies:
% 257.28/65.16 | | | | | | | | | (7692) all_4_50 = all_4_53
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7685), (7692) imply:
% 257.28/65.16 | | | | | | | | | (7693) all_4_53 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7690), (7693) imply:
% 257.28/65.16 | | | | | | | | | (7694) all_4_49 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7688), (7693) imply:
% 257.28/65.16 | | | | | | | | | (7695) all_4_48 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (150), (7694), (7695) imply:
% 257.28/65.16 | | | | | | | | | (7696) sum(n10, n10) = all_4_92
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (147), (7685), (7693) imply:
% 257.28/65.16 | | | | | | | | | (7697) sum(n10, n10) = all_4_93
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_92, n10, n10,
% 257.28/65.16 | | | | | | | | | simplifying with (126), (7696) gives:
% 257.28/65.16 | | | | | | | | | (7698) all_4_92 = n9
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n10,
% 257.28/65.16 | | | | | | | | | n10, simplifying with (7696), (7697) gives:
% 257.28/65.16 | | | | | | | | | (7699) all_4_92 = all_4_93
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7698), (7699) imply:
% 257.28/65.16 | | | | | | | | | (7700) all_4_93 = n9
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7700) implies:
% 257.28/65.16 | | | | | | | | | (7701) all_4_93 = n9
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (238), (7698) imply:
% 257.28/65.16 | | | | | | | | | (7702) pred(n9) = all_4_44
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (237), (7701) imply:
% 257.28/65.16 | | | | | | | | | (7703) pred(n9) = all_4_47
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (207), (7698) imply:
% 257.28/65.16 | | | | | | | | | (7704) succ(n9) = all_4_46
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (206), (7701) imply:
% 257.28/65.16 | | | | | | | | | (7705) succ(n9) = all_4_43
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_43, n9,
% 257.28/65.16 | | | | | | | | | simplifying with (196), (7705) gives:
% 257.28/65.16 | | | | | | | | | (7706) all_4_43 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n9,
% 257.28/65.16 | | | | | | | | | simplifying with (7704), (7705) gives:
% 257.28/65.16 | | | | | | | | | (7707) all_4_43 = all_4_46
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_44, n9,
% 257.28/65.16 | | | | | | | | | simplifying with (227), (7702) gives:
% 257.28/65.16 | | | | | | | | | (7708) all_4_44 = n8
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n9,
% 257.28/65.16 | | | | | | | | | simplifying with (7702), (7703) gives:
% 257.28/65.16 | | | | | | | | | (7709) all_4_44 = all_4_47
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7706), (7707) imply:
% 257.28/65.16 | | | | | | | | | (7710) all_4_46 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7710) implies:
% 257.28/65.16 | | | | | | | | | (7711) all_4_46 = n10
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7708), (7709) imply:
% 257.28/65.16 | | | | | | | | | (7712) all_4_47 = n8
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (155), (7706), (7708) imply:
% 257.28/65.16 | | | | | | | | | (7713) sum(n8, n10) = all_4_42
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (154), (7708), (7711) imply:
% 257.28/65.16 | | | | | | | | | (7714) sum(n8, n10) = all_4_40
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (152), (7706), (7712) imply:
% 257.28/65.16 | | | | | | | | | (7715) sum(n8, n10) = all_4_41
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (151), (7711), (7712) imply:
% 257.28/65.16 | | | | | | | | | (7716) sum(n8, n10) = all_4_45
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_42, n10, n8,
% 257.28/65.16 | | | | | | | | | simplifying with (104), (7713) gives:
% 257.28/65.16 | | | | | | | | | (7717) all_4_42 = n7
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n10,
% 257.28/65.16 | | | | | | | | | n8, simplifying with (7713), (7715) gives:
% 257.28/65.16 | | | | | | | | | (7718) all_4_41 = all_4_42
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n10,
% 257.28/65.16 | | | | | | | | | n8, simplifying with (7714), (7715) gives:
% 257.28/65.16 | | | | | | | | | (7719) all_4_40 = all_4_41
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n10,
% 257.28/65.16 | | | | | | | | | n8, simplifying with (7714), (7716) gives:
% 257.28/65.16 | | | | | | | | | (7720) all_4_40 = all_4_45
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7719), (7720) imply:
% 257.28/65.16 | | | | | | | | | (7721) all_4_41 = all_4_45
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7721) implies:
% 257.28/65.16 | | | | | | | | | (7722) all_4_41 = all_4_45
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7718), (7722) imply:
% 257.28/65.16 | | | | | | | | | (7723) all_4_42 = all_4_45
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7723) implies:
% 257.28/65.16 | | | | | | | | | (7724) all_4_42 = all_4_45
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7717), (7724) imply:
% 257.28/65.16 | | | | | | | | | (7725) all_4_45 = n7
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7722), (7725) imply:
% 257.28/65.16 | | | | | | | | | (7726) all_4_41 = n7
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7720), (7725) imply:
% 257.28/65.16 | | | | | | | | | (7727) all_4_40 = n7
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (156), (7726), (7727) imply:
% 257.28/65.16 | | | | | | | | | (7728) sum(n7, n7) = all_4_90
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (153), (7717), (7725) imply:
% 257.28/65.16 | | | | | | | | | (7729) sum(n7, n7) = all_4_91
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_90, n7, n7,
% 257.28/65.16 | | | | | | | | | simplifying with (90), (7728) gives:
% 257.28/65.16 | | | | | | | | | (7730) all_4_90 = n3
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n7, n7,
% 257.28/65.16 | | | | | | | | | simplifying with (7728), (7729) gives:
% 257.28/65.16 | | | | | | | | | (7731) all_4_90 = all_4_91
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7730), (7731) imply:
% 257.28/65.16 | | | | | | | | | (7732) all_4_91 = n3
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (240), (7730) imply:
% 257.28/65.16 | | | | | | | | | (7733) pred(n3) = all_4_36
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (239), (7732) imply:
% 257.28/65.16 | | | | | | | | | (7734) pred(n3) = all_4_39
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (209), (7730) imply:
% 257.28/65.16 | | | | | | | | | (7735) succ(n3) = all_4_38
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (208), (7732) imply:
% 257.28/65.16 | | | | | | | | | (7736) succ(n3) = all_4_35
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_35, n3,
% 257.28/65.16 | | | | | | | | | simplifying with (190), (7736) gives:
% 257.28/65.16 | | | | | | | | | (7737) all_4_35 = n4
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n3,
% 257.28/65.16 | | | | | | | | | simplifying with (7735), (7736) gives:
% 257.28/65.16 | | | | | | | | | (7738) all_4_35 = all_4_38
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_36, n3,
% 257.28/65.16 | | | | | | | | | simplifying with (221), (7733) gives:
% 257.28/65.16 | | | | | | | | | (7739) all_4_36 = n2
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n3,
% 257.28/65.16 | | | | | | | | | simplifying with (7733), (7734) gives:
% 257.28/65.16 | | | | | | | | | (7740) all_4_36 = all_4_39
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7737), (7738) imply:
% 257.28/65.16 | | | | | | | | | (7741) all_4_38 = n4
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7741) implies:
% 257.28/65.16 | | | | | | | | | (7742) all_4_38 = n4
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7739), (7740) imply:
% 257.28/65.16 | | | | | | | | | (7743) all_4_39 = n2
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (161), (7737), (7739) imply:
% 257.28/65.16 | | | | | | | | | (7744) sum(n2, n4) = all_4_34
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (160), (7739), (7742) imply:
% 257.28/65.16 | | | | | | | | | (7745) sum(n2, n4) = all_4_32
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (158), (7737), (7743) imply:
% 257.28/65.16 | | | | | | | | | (7746) sum(n2, n4) = all_4_33
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (157), (7742), (7743) imply:
% 257.28/65.16 | | | | | | | | | (7747) sum(n2, n4) = all_4_37
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_34, n4, n2,
% 257.28/65.16 | | | | | | | | | simplifying with (32), (7744) gives:
% 257.28/65.16 | | | | | | | | | (7748) all_4_34 = n6
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n4, n2,
% 257.28/65.16 | | | | | | | | | simplifying with (7744), (7746) gives:
% 257.28/65.16 | | | | | | | | | (7749) all_4_33 = all_4_34
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n4, n2,
% 257.28/65.16 | | | | | | | | | simplifying with (7745), (7746) gives:
% 257.28/65.16 | | | | | | | | | (7750) all_4_32 = all_4_33
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n4, n2,
% 257.28/65.16 | | | | | | | | | simplifying with (7745), (7747) gives:
% 257.28/65.16 | | | | | | | | | (7751) all_4_32 = all_4_37
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7750), (7751) imply:
% 257.28/65.16 | | | | | | | | | (7752) all_4_33 = all_4_37
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7752) implies:
% 257.28/65.16 | | | | | | | | | (7753) all_4_33 = all_4_37
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7749), (7753) imply:
% 257.28/65.16 | | | | | | | | | (7754) all_4_34 = all_4_37
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | SIMP: (7754) implies:
% 257.28/65.16 | | | | | | | | | (7755) all_4_34 = all_4_37
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7748), (7755) imply:
% 257.28/65.16 | | | | | | | | | (7756) all_4_37 = n6
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7753), (7756) imply:
% 257.28/65.16 | | | | | | | | | (7757) all_4_33 = n6
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7751), (7756) imply:
% 257.28/65.16 | | | | | | | | | (7758) all_4_32 = n6
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (162), (7757), (7758) imply:
% 257.28/65.16 | | | | | | | | | (7759) sum(n6, n6) = all_4_88
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (159), (7748), (7756) imply:
% 257.28/65.16 | | | | | | | | | (7760) sum(n6, n6) = all_4_89
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_88, n6, n6,
% 257.28/65.16 | | | | | | | | | simplifying with (78), (7759) gives:
% 257.28/65.16 | | | | | | | | | (7761) all_4_88 = n1
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n6, n6,
% 257.28/65.16 | | | | | | | | | simplifying with (7759), (7760) gives:
% 257.28/65.16 | | | | | | | | | (7762) all_4_88 = all_4_89
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | COMBINE_EQS: (7761), (7762) imply:
% 257.28/65.16 | | | | | | | | | (7763) all_4_89 = n1
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (242), (7761) imply:
% 257.28/65.16 | | | | | | | | | (7764) pred(n1) = all_4_28
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (241), (7763) imply:
% 257.28/65.16 | | | | | | | | | (7765) pred(n1) = all_4_31
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (211), (7761) imply:
% 257.28/65.16 | | | | | | | | | (7766) succ(n1) = all_4_30
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REDUCE: (210), (7763) imply:
% 257.28/65.16 | | | | | | | | | (7767) succ(n1) = all_4_27
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (157), (158),
% 257.28/65.16 | | | | | | | | | (159), (160), (161), (162), (163), (164), (165),
% 257.28/65.16 | | | | | | | | | (166), (167), (168), (188), (190), (219), (221),
% 257.28/65.16 | | | | | | | | | (7593), (7607), (7608), (7636), (7638), (7667),
% 257.28/65.16 | | | | | | | | | (7669), (7698), (7701), (7730), (7732), (7733),
% 257.28/65.16 | | | | | | | | | (7734), (7735), (7736), (7764), (7765), (7766),
% 257.28/65.16 | | | | | | | | | (7767) are inconsistent by sub-proof #84.
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | Case 2:
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | (7768) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 257.28/65.16 | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.28/65.16 | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | BETA: splitting (7593) gives:
% 257.28/65.16 | | | | | | | | |
% 257.28/65.16 | | | | | | | | | Case 1:
% 257.28/65.16 | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | (7769) ~ (all_4_86 = all_4_87)
% 257.28/65.16 | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | BETA: splitting (7768) gives:
% 257.28/65.16 | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | Case 1:
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | (7770) all_4_100 = n7
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (230), (7770) imply:
% 257.28/65.16 | | | | | | | | | | | (7771) pred(n7) = all_4_76
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (199), (7770) imply:
% 257.28/65.16 | | | | | | | | | | | (7772) succ(n7) = all_4_78
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.28/65.16 | | | | | | | | | | | simplifying with (194), (7772) gives:
% 257.28/65.16 | | | | | | | | | | | (7773) all_4_78 = n8
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.28/65.16 | | | | | | | | | | | simplifying with (225), (7771) gives:
% 257.28/65.16 | | | | | | | | | | | (7774) all_4_76 = n6
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (130), (7773), (7774) imply:
% 257.28/65.16 | | | | | | | | | | | (7775) sum(n6, n8) = all_4_72
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (7063), (7774) imply:
% 257.28/65.16 | | | | | | | | | | | (7776) sum(n6, n10) = all_4_74
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (7065), (7773) imply:
% 257.28/65.16 | | | | | | | | | | | (7777) sum(n8, n8) = all_4_77
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 257.28/65.16 | | | | | | | | | | | simplifying with (80), (7775) gives:
% 257.28/65.16 | | | | | | | | | | | (7778) all_4_72 = n3
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n10, n6,
% 257.28/65.16 | | | | | | | | | | | simplifying with (82), (7776) gives:
% 257.28/65.16 | | | | | | | | | | | (7779) all_4_74 = n5
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n8, n8,
% 257.28/65.16 | | | | | | | | | | | simplifying with (102), (7777) gives:
% 257.28/65.16 | | | | | | | | | | | (7780) all_4_77 = n5
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (129), (7779), (7780) imply:
% 257.28/65.16 | | | | | | | | | | | (7781) sum(n5, n5) = all_4_99
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REDUCE: (7067), (7778) imply:
% 257.28/65.16 | | | | | | | | | | | (7782) sum(n7, n3) = all_4_98
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 257.28/65.16 | | | | | | | | | | | simplifying with (66), (7781) gives:
% 257.28/65.16 | | | | | | | | | | | (7783) all_4_99 = n10
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n3, n7,
% 257.28/65.16 | | | | | | | | | | | simplifying with (86), (7782) gives:
% 257.28/65.16 | | | | | | | | | | | (7784) all_4_98 = n10
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 257.28/65.16 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.16 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.16 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.16 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.16 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.16 | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 257.28/65.16 | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.28/65.16 | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.16 | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 257.28/65.16 | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.16 | | | | | | | | | | | (240), (241), (242), (7769), (7781), (7783),
% 257.28/65.16 | | | | | | | | | | | (7784) are inconsistent by sub-proof #154.
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | Case 2:
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | (7785) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.28/65.16 | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.28/65.16 | | | | | | | | | | | all_4_100 = n0
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | BETA: splitting (7785) gives:
% 257.28/65.16 | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | Case 1:
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | (7786) all_4_100 = n6
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (230), (7786) imply:
% 257.28/65.16 | | | | | | | | | | | | (7787) pred(n6) = all_4_76
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (199), (7786) imply:
% 257.28/65.16 | | | | | | | | | | | | (7788) succ(n6) = all_4_78
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (193), (7788) gives:
% 257.28/65.16 | | | | | | | | | | | | (7789) all_4_78 = n7
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (224), (7787) gives:
% 257.28/65.16 | | | | | | | | | | | | (7790) all_4_76 = n5
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (130), (7789), (7790) imply:
% 257.28/65.16 | | | | | | | | | | | | (7791) sum(n5, n7) = all_4_72
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (7063), (7790) imply:
% 257.28/65.16 | | | | | | | | | | | | (7792) sum(n5, n10) = all_4_74
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (7065), (7789) imply:
% 257.28/65.16 | | | | | | | | | | | | (7793) sum(n8, n7) = all_4_77
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (68), (7791) gives:
% 257.28/65.16 | | | | | | | | | | | | (7794) all_4_72 = n1
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n10, n5,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (71), (7792) gives:
% 257.28/65.16 | | | | | | | | | | | | (7795) all_4_74 = n4
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n7, n8,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (101), (7793) gives:
% 257.28/65.16 | | | | | | | | | | | | (7796) all_4_77 = n4
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (129), (7795), (7796) imply:
% 257.28/65.16 | | | | | | | | | | | | (7797) sum(n4, n4) = all_4_99
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | REDUCE: (7067), (7794) imply:
% 257.28/65.16 | | | | | | | | | | | | (7798) sum(n7, n1) = all_4_98
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (54), (7797) gives:
% 257.28/65.16 | | | | | | | | | | | | (7799) all_4_99 = n8
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.16 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n1, n7,
% 257.28/65.16 | | | | | | | | | | | | simplifying with (84), (7798) gives:
% 257.28/65.16 | | | | | | | | | | | | (7800) all_4_98 = n8
% 257.28/65.16 | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.28/65.17 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.17 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.17 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.17 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.17 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.17 | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 257.28/65.17 | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.28/65.17 | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.17 | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 257.28/65.17 | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.17 | | | | | | | | | | | | (240), (241), (242), (7769), (7797), (7799),
% 257.28/65.17 | | | | | | | | | | | | (7800) are inconsistent by sub-proof #152.
% 257.28/65.17 | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | Case 2:
% 257.28/65.17 | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | (7801) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.28/65.17 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.17 | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | BETA: splitting (7801) gives:
% 257.28/65.17 | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | Case 1:
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | (7802) all_4_100 = n5
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (230), (7802) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7803) pred(n5) = all_4_76
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (199), (7802) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7804) succ(n5) = all_4_78
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (192), (7804) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7805) all_4_78 = n6
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (223), (7803) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7806) all_4_76 = n4
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (130), (7805), (7806) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7807) sum(n4, n6) = all_4_72
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (7063), (7806) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7808) sum(n4, n10) = all_4_74
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (7065), (7805) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7809) sum(n8, n6) = all_4_77
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (56), (7807) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7810) all_4_72 = n10
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (60), (7808) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7811) all_4_74 = n3
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (100), (7809) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7812) all_4_77 = n3
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (129), (7811), (7812) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7813) sum(n3, n3) = all_4_99
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REDUCE: (7067), (7810) imply:
% 257.28/65.17 | | | | | | | | | | | | | (7814) sum(n7, n10) = all_4_98
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (42), (7813) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7815) all_4_99 = n6
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 257.28/65.17 | | | | | | | | | | | | | simplifying with (93), (7814) gives:
% 257.28/65.17 | | | | | | | | | | | | | (7816) all_4_98 = n6
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.28/65.17 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.17 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.17 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.17 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.17 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.17 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 257.28/65.17 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.28/65.17 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.17 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 257.28/65.17 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.17 | | | | | | | | | | | | | (240), (241), (242), (7769), (7813), (7815),
% 257.28/65.17 | | | | | | | | | | | | | (7816) are inconsistent by sub-proof #151.
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | Case 2:
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | (7817) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.28/65.17 | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | BETA: splitting (7817) gives:
% 257.28/65.17 | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | Case 1:
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | (7818) all_4_100 = n4
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (230), (7818) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7819) pred(n4) = all_4_76
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (199), (7818) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7820) succ(n4) = all_4_78
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (191), (7820) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7821) all_4_78 = n5
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (222), (7819) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7822) all_4_76 = n3
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (130), (7821), (7822) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7823) sum(n3, n5) = all_4_72
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (7063), (7822) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7824) sum(n3, n10) = all_4_74
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (7065), (7821) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7825) sum(n8, n5) = all_4_77
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (44), (7823) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7826) all_4_72 = n8
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (49), (7824) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7827) all_4_74 = n2
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (99), (7825) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7828) all_4_77 = n2
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (129), (7827), (7828) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7829) sum(n2, n2) = all_4_99
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REDUCE: (7067), (7826) imply:
% 257.28/65.17 | | | | | | | | | | | | | | (7830) sum(n7, n8) = all_4_98
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (30), (7829) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7831) all_4_99 = n4
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.28/65.17 | | | | | | | | | | | | | | simplifying with (91), (7830) gives:
% 257.28/65.17 | | | | | | | | | | | | | | (7832) all_4_98 = n4
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.28/65.17 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.28/65.17 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.17 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.17 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.17 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.17 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 257.28/65.17 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 257.28/65.17 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.17 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 257.28/65.17 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.17 | | | | | | | | | | | | | | (240), (241), (242), (7769), (7829), (7831),
% 257.28/65.17 | | | | | | | | | | | | | | (7832) are inconsistent by sub-proof #150.
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | Case 2:
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | (7833) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.28/65.17 | | | | | | | | | | | | | | all_4_100 = n0
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 257.28/65.17 | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | Case 1:
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | (7834) all_4_100 = n3
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (230), (7834) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7835) pred(n3) = all_4_76
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (199), (7834) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7836) succ(n3) = all_4_78
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (190), (7836) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7837) all_4_78 = n4
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (221), (7835) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7838) all_4_76 = n2
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (130), (7837), (7838) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7839) sum(n2, n4) = all_4_72
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (7063), (7838) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7840) sum(n2, n10) = all_4_74
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (7065), (7837) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7841) sum(n8, n4) = all_4_77
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (32), (7839) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7842) all_4_72 = n6
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (38), (7840) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7843) all_4_74 = n1
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (98), (7841) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7844) all_4_77 = n1
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (129), (7843), (7844) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7845) sum(n1, n1) = all_4_99
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REDUCE: (7067), (7842) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | (7846) sum(n7, n6) = all_4_98
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (18), (7845) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7847) all_4_99 = n2
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.28/65.17 | | | | | | | | | | | | | | | simplifying with (89), (7846) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | (7848) all_4_98 = n2
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.28/65.17 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.17 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.17 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.17 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.17 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.17 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 257.28/65.17 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.28/65.17 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.17 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 257.28/65.17 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.17 | | | | | | | | | | | | | | | (240), (241), (242), (7769), (7845), (7847),
% 257.28/65.17 | | | | | | | | | | | | | | | (7848) are inconsistent by sub-proof #149.
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | Case 2:
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | (7849) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | BETA: splitting (7849) gives:
% 257.28/65.17 | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | Case 1:
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | (7850) all_4_100 = n2
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (230), (7850) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7851) pred(n2) = all_4_76
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (199), (7850) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7852) succ(n2) = all_4_78
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (189), (7852) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7853) all_4_78 = n3
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (220), (7851) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7854) all_4_76 = n1
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (130), (7853), (7854) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7855) sum(n1, n3) = all_4_72
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (7063), (7854) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7856) sum(n1, n10) = all_4_74
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (7065), (7853) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7857) sum(n8, n3) = all_4_77
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (20), (7855) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7858) all_4_72 = n4
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (27), (7856) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7859) all_4_74 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (97), (7857) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7860) all_4_77 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (129), (7859), (7860) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7861) sum(n0, n0) = all_4_99
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REDUCE: (7067), (7858) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7862) sum(n7, n4) = all_4_98
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (6), (7861) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7863) all_4_99 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.28/65.17 | | | | | | | | | | | | | | | | simplifying with (87), (7862) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | (7864) all_4_98 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.28/65.17 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.17 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.17 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.17 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.17 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 257.28/65.17 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 257.28/65.17 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 257.28/65.17 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.17 | | | | | | | | | | | | | | | | (241), (242), (7769), (7861), (7863), (7864) are
% 257.28/65.17 | | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | Case 2:
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | (7865) all_4_100 = n1 | all_4_100 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | BETA: splitting (7865) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | Case 1:
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7866) all_4_100 = n1
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (230), (7866) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7867) pred(n1) = all_4_76
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (199), (7866) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7868) succ(n1) = all_4_78
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (188), (7868) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7869) all_4_78 = n2
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (219), (7867) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7870) all_4_76 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (130), (7869), (7870) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7871) sum(n0, n2) = all_4_72
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (7063), (7870) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7872) sum(n0, n10) = all_4_74
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (7065), (7869) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7873) sum(n8, n2) = all_4_77
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (8), (7871) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7874) all_4_72 = n2
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (16), (7872) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7875) all_4_74 = n10
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (96), (7873) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7876) all_4_77 = n10
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (129), (7875), (7876) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7877) sum(n10, n10) = all_4_99
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (7067), (7874) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7878) sum(n7, n2) = all_4_98
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (85), (7878) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7879) all_4_98 = n9
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (126), (7877) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7880) all_4_99 = n9
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (240), (241), (242), (7769), (7877), (7879),
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7880) are inconsistent by sub-proof #146.
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | Case 2:
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7881) all_4_100 = n0
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (230), (7881) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7882) pred(n0) = all_4_76
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (199), (7881) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7883) succ(n0) = all_4_78
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (187), (7883) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7884) all_4_78 = n1
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.28/65.17 | | | | | | | | | | | | | | | | | simplifying with (218), (7882) gives:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7885) all_4_76 = n10
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (130), (7884), (7885) imply:
% 257.28/65.17 | | | | | | | | | | | | | | | | | (7886) sum(n10, n1) = all_4_72
% 257.28/65.17 | | | | | | | | | | | | | | | | |
% 257.28/65.17 | | | | | | | | | | | | | | | | | REDUCE: (7063), (7885) imply:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7887) sum(n10, n10) = all_4_74
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | REDUCE: (7065), (7884) imply:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7888) sum(n8, n1) = all_4_77
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.28/65.18 | | | | | | | | | | | | | | | | | simplifying with (95), (7888) gives:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7889) all_4_77 = n9
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.28/65.18 | | | | | | | | | | | | | | | | | simplifying with (117), (7886) gives:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7890) all_4_72 = n0
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.28/65.18 | | | | | | | | | | | | | | | | | simplifying with (126), (7887) gives:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7891) all_4_74 = n9
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | REDUCE: (129), (7889), (7891) imply:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7892) sum(n9, n9) = all_4_99
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | REDUCE: (7067), (7890) imply:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7893) sum(n7, n0) = all_4_98
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.28/65.18 | | | | | | | | | | | | | | | | | simplifying with (83), (7893) gives:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7894) all_4_98 = n7
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.28/65.18 | | | | | | | | | | | | | | | | | simplifying with (114), (7892) gives:
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7895) all_4_99 = n7
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (240), (241), (242), (7593), (7892), (7894),
% 257.28/65.18 | | | | | | | | | | | | | | | | | (7895) are inconsistent by sub-proof #83.
% 257.28/65.18 | | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | End of split
% 257.28/65.18 | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | Case 2:
% 257.28/65.18 | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | (7896) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 257.28/65.18 | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 257.28/65.18 | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 257.28/65.18 | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 257.28/65.18 | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | BETA: splitting (7768) gives:
% 257.28/65.18 | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | Case 1:
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | (7897) all_4_100 = n7
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (230), (7897) imply:
% 257.28/65.18 | | | | | | | | | | | (7898) pred(n7) = all_4_76
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (199), (7897) imply:
% 257.28/65.18 | | | | | | | | | | | (7899) succ(n7) = all_4_78
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (194), (7899) gives:
% 257.28/65.18 | | | | | | | | | | | (7900) all_4_78 = n8
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (225), (7898) gives:
% 257.28/65.18 | | | | | | | | | | | (7901) all_4_76 = n6
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (130), (7900), (7901) imply:
% 257.28/65.18 | | | | | | | | | | | (7902) sum(n6, n8) = all_4_72
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (7063), (7901) imply:
% 257.28/65.18 | | | | | | | | | | | (7903) sum(n6, n10) = all_4_74
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (7065), (7900) imply:
% 257.28/65.18 | | | | | | | | | | | (7904) sum(n8, n8) = all_4_77
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (80), (7902) gives:
% 257.28/65.18 | | | | | | | | | | | (7905) all_4_72 = n3
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n10, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (82), (7903) gives:
% 257.28/65.18 | | | | | | | | | | | (7906) all_4_74 = n5
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n8, n8,
% 257.28/65.18 | | | | | | | | | | | simplifying with (102), (7904) gives:
% 257.28/65.18 | | | | | | | | | | | (7907) all_4_77 = n5
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (129), (7906), (7907) imply:
% 257.28/65.18 | | | | | | | | | | | (7908) sum(n5, n5) = all_4_99
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (7067), (7905) imply:
% 257.28/65.18 | | | | | | | | | | | (7909) sum(n7, n3) = all_4_98
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 257.28/65.18 | | | | | | | | | | | simplifying with (66), (7908) gives:
% 257.28/65.18 | | | | | | | | | | | (7910) all_4_99 = n10
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n3, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (86), (7909) gives:
% 257.28/65.18 | | | | | | | | | | | (7911) all_4_98 = n10
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (232), (7911) imply:
% 257.28/65.18 | | | | | | | | | | | (7912) pred(n10) = all_4_68
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (231), (7910) imply:
% 257.28/65.18 | | | | | | | | | | | (7913) pred(n10) = all_4_71
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (201), (7911) imply:
% 257.28/65.18 | | | | | | | | | | | (7914) succ(n10) = all_4_70
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (200), (7910) imply:
% 257.28/65.18 | | | | | | | | | | | (7915) succ(n10) = all_4_67
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_67, n10,
% 257.28/65.18 | | | | | | | | | | | simplifying with (197), (7915) gives:
% 257.28/65.18 | | | | | | | | | | | (7916) all_4_67 = n0
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n10,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7914), (7915) gives:
% 257.28/65.18 | | | | | | | | | | | (7917) all_4_67 = all_4_70
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_68, n10,
% 257.28/65.18 | | | | | | | | | | | simplifying with (228), (7912) gives:
% 257.28/65.18 | | | | | | | | | | | (7918) all_4_68 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n10,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7912), (7913) gives:
% 257.28/65.18 | | | | | | | | | | | (7919) all_4_68 = all_4_71
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7916), (7917) imply:
% 257.28/65.18 | | | | | | | | | | | (7920) all_4_70 = n0
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7920) implies:
% 257.28/65.18 | | | | | | | | | | | (7921) all_4_70 = n0
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7918), (7919) imply:
% 257.28/65.18 | | | | | | | | | | | (7922) all_4_71 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (137), (7916), (7918) imply:
% 257.28/65.18 | | | | | | | | | | | (7923) sum(n9, n0) = all_4_66
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (136), (7918), (7921) imply:
% 257.28/65.18 | | | | | | | | | | | (7924) sum(n9, n0) = all_4_64
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (134), (7916), (7922) imply:
% 257.28/65.18 | | | | | | | | | | | (7925) sum(n9, n0) = all_4_65
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (133), (7921), (7922) imply:
% 257.28/65.18 | | | | | | | | | | | (7926) sum(n9, n0) = all_4_69
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_65, n0, n9,
% 257.28/65.18 | | | | | | | | | | | simplifying with (105), (7925) gives:
% 257.28/65.18 | | | | | | | | | | | (7927) all_4_65 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n0, n9,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7923), (7925) gives:
% 257.28/65.18 | | | | | | | | | | | (7928) all_4_65 = all_4_66
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n0, n9,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7923), (7924) gives:
% 257.28/65.18 | | | | | | | | | | | (7929) all_4_64 = all_4_66
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n0, n9,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7924), (7926) gives:
% 257.28/65.18 | | | | | | | | | | | (7930) all_4_64 = all_4_69
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7929), (7930) imply:
% 257.28/65.18 | | | | | | | | | | | (7931) all_4_66 = all_4_69
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7931) implies:
% 257.28/65.18 | | | | | | | | | | | (7932) all_4_66 = all_4_69
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7927), (7928) imply:
% 257.28/65.18 | | | | | | | | | | | (7933) all_4_66 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7933) implies:
% 257.28/65.18 | | | | | | | | | | | (7934) all_4_66 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7932), (7934) imply:
% 257.28/65.18 | | | | | | | | | | | (7935) all_4_69 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7930), (7935) imply:
% 257.28/65.18 | | | | | | | | | | | (7936) all_4_64 = n9
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (138), (7927), (7936) imply:
% 257.28/65.18 | | | | | | | | | | | (7937) sum(n9, n9) = all_4_96
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (135), (7934), (7935) imply:
% 257.28/65.18 | | | | | | | | | | | (7938) sum(n9, n9) = all_4_97
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_96, n9, n9,
% 257.28/65.18 | | | | | | | | | | | simplifying with (114), (7937) gives:
% 257.28/65.18 | | | | | | | | | | | (7939) all_4_96 = n7
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n9, n9,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7937), (7938) gives:
% 257.28/65.18 | | | | | | | | | | | (7940) all_4_96 = all_4_97
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7939), (7940) imply:
% 257.28/65.18 | | | | | | | | | | | (7941) all_4_97 = n7
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (234), (7939) imply:
% 257.28/65.18 | | | | | | | | | | | (7942) pred(n7) = all_4_60
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (233), (7941) imply:
% 257.28/65.18 | | | | | | | | | | | (7943) pred(n7) = all_4_63
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (203), (7939) imply:
% 257.28/65.18 | | | | | | | | | | | (7944) succ(n7) = all_4_62
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (202), (7941) imply:
% 257.28/65.18 | | | | | | | | | | | (7945) succ(n7) = all_4_59
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_59, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (194), (7945) gives:
% 257.28/65.18 | | | | | | | | | | | (7946) all_4_59 = n8
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7944), (7945) gives:
% 257.28/65.18 | | | | | | | | | | | (7947) all_4_59 = all_4_62
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_60, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (225), (7942) gives:
% 257.28/65.18 | | | | | | | | | | | (7948) all_4_60 = n6
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n7,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7942), (7943) gives:
% 257.28/65.18 | | | | | | | | | | | (7949) all_4_60 = all_4_63
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7946), (7947) imply:
% 257.28/65.18 | | | | | | | | | | | (7950) all_4_62 = n8
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7950) implies:
% 257.28/65.18 | | | | | | | | | | | (7951) all_4_62 = n8
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7948), (7949) imply:
% 257.28/65.18 | | | | | | | | | | | (7952) all_4_63 = n6
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (143), (7946), (7948) imply:
% 257.28/65.18 | | | | | | | | | | | (7953) sum(n6, n8) = all_4_58
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (142), (7948), (7951) imply:
% 257.28/65.18 | | | | | | | | | | | (7954) sum(n6, n8) = all_4_56
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (140), (7946), (7952) imply:
% 257.28/65.18 | | | | | | | | | | | (7955) sum(n6, n8) = all_4_57
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (139), (7951), (7952) imply:
% 257.28/65.18 | | | | | | | | | | | (7956) sum(n6, n8) = all_4_61
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_58, n8, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (80), (7953) gives:
% 257.28/65.18 | | | | | | | | | | | (7957) all_4_58 = n3
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n8, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7953), (7955) gives:
% 257.28/65.18 | | | | | | | | | | | (7958) all_4_57 = all_4_58
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n8, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7954), (7955) gives:
% 257.28/65.18 | | | | | | | | | | | (7959) all_4_56 = all_4_57
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n8, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7954), (7956) gives:
% 257.28/65.18 | | | | | | | | | | | (7960) all_4_56 = all_4_61
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7959), (7960) imply:
% 257.28/65.18 | | | | | | | | | | | (7961) all_4_57 = all_4_61
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7961) implies:
% 257.28/65.18 | | | | | | | | | | | (7962) all_4_57 = all_4_61
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7958), (7962) imply:
% 257.28/65.18 | | | | | | | | | | | (7963) all_4_58 = all_4_61
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7963) implies:
% 257.28/65.18 | | | | | | | | | | | (7964) all_4_58 = all_4_61
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7957), (7964) imply:
% 257.28/65.18 | | | | | | | | | | | (7965) all_4_61 = n3
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7962), (7965) imply:
% 257.28/65.18 | | | | | | | | | | | (7966) all_4_57 = n3
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7960), (7965) imply:
% 257.28/65.18 | | | | | | | | | | | (7967) all_4_56 = n3
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (144), (7966), (7967) imply:
% 257.28/65.18 | | | | | | | | | | | (7968) sum(n3, n3) = all_4_94
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (141), (7957), (7965) imply:
% 257.28/65.18 | | | | | | | | | | | (7969) sum(n3, n3) = all_4_95
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_94, n3, n3,
% 257.28/65.18 | | | | | | | | | | | simplifying with (42), (7968) gives:
% 257.28/65.18 | | | | | | | | | | | (7970) all_4_94 = n6
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n3, n3,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7968), (7969) gives:
% 257.28/65.18 | | | | | | | | | | | (7971) all_4_94 = all_4_95
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7970), (7971) imply:
% 257.28/65.18 | | | | | | | | | | | (7972) all_4_95 = n6
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (236), (7970) imply:
% 257.28/65.18 | | | | | | | | | | | (7973) pred(n6) = all_4_52
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (235), (7972) imply:
% 257.28/65.18 | | | | | | | | | | | (7974) pred(n6) = all_4_55
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (205), (7970) imply:
% 257.28/65.18 | | | | | | | | | | | (7975) succ(n6) = all_4_54
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (204), (7972) imply:
% 257.28/65.18 | | | | | | | | | | | (7976) succ(n6) = all_4_51
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_51, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (193), (7976) gives:
% 257.28/65.18 | | | | | | | | | | | (7977) all_4_51 = n7
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7975), (7976) gives:
% 257.28/65.18 | | | | | | | | | | | (7978) all_4_51 = all_4_54
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_52, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (224), (7973) gives:
% 257.28/65.18 | | | | | | | | | | | (7979) all_4_52 = n5
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n6,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7973), (7974) gives:
% 257.28/65.18 | | | | | | | | | | | (7980) all_4_52 = all_4_55
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7977), (7978) imply:
% 257.28/65.18 | | | | | | | | | | | (7981) all_4_54 = n7
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7981) implies:
% 257.28/65.18 | | | | | | | | | | | (7982) all_4_54 = n7
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7979), (7980) imply:
% 257.28/65.18 | | | | | | | | | | | (7983) all_4_55 = n5
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (149), (7977), (7979) imply:
% 257.28/65.18 | | | | | | | | | | | (7984) sum(n5, n7) = all_4_50
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (148), (7979), (7982) imply:
% 257.28/65.18 | | | | | | | | | | | (7985) sum(n5, n7) = all_4_48
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (146), (7977), (7983) imply:
% 257.28/65.18 | | | | | | | | | | | (7986) sum(n5, n7) = all_4_49
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (145), (7982), (7983) imply:
% 257.28/65.18 | | | | | | | | | | | (7987) sum(n5, n7) = all_4_53
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_50, n7, n5,
% 257.28/65.18 | | | | | | | | | | | simplifying with (68), (7984) gives:
% 257.28/65.18 | | | | | | | | | | | (7988) all_4_50 = n1
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n7, n5,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7984), (7986) gives:
% 257.28/65.18 | | | | | | | | | | | (7989) all_4_49 = all_4_50
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n7, n5,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7985), (7986) gives:
% 257.28/65.18 | | | | | | | | | | | (7990) all_4_48 = all_4_49
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n7, n5,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7985), (7987) gives:
% 257.28/65.18 | | | | | | | | | | | (7991) all_4_48 = all_4_53
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7990), (7991) imply:
% 257.28/65.18 | | | | | | | | | | | (7992) all_4_49 = all_4_53
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7992) implies:
% 257.28/65.18 | | | | | | | | | | | (7993) all_4_49 = all_4_53
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7989), (7993) imply:
% 257.28/65.18 | | | | | | | | | | | (7994) all_4_50 = all_4_53
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (7994) implies:
% 257.28/65.18 | | | | | | | | | | | (7995) all_4_50 = all_4_53
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7988), (7995) imply:
% 257.28/65.18 | | | | | | | | | | | (7996) all_4_53 = n1
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7993), (7996) imply:
% 257.28/65.18 | | | | | | | | | | | (7997) all_4_49 = n1
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (7991), (7996) imply:
% 257.28/65.18 | | | | | | | | | | | (7998) all_4_48 = n1
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (150), (7997), (7998) imply:
% 257.28/65.18 | | | | | | | | | | | (7999) sum(n1, n1) = all_4_92
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (147), (7988), (7996) imply:
% 257.28/65.18 | | | | | | | | | | | (8000) sum(n1, n1) = all_4_93
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_92, n1, n1,
% 257.28/65.18 | | | | | | | | | | | simplifying with (18), (7999) gives:
% 257.28/65.18 | | | | | | | | | | | (8001) all_4_92 = n2
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n1, n1,
% 257.28/65.18 | | | | | | | | | | | simplifying with (7999), (8000) gives:
% 257.28/65.18 | | | | | | | | | | | (8002) all_4_92 = all_4_93
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | COMBINE_EQS: (8001), (8002) imply:
% 257.28/65.18 | | | | | | | | | | | (8003) all_4_93 = n2
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | SIMP: (8003) implies:
% 257.28/65.18 | | | | | | | | | | | (8004) all_4_93 = n2
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (238), (8001) imply:
% 257.28/65.18 | | | | | | | | | | | (8005) pred(n2) = all_4_44
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (237), (8004) imply:
% 257.28/65.18 | | | | | | | | | | | (8006) pred(n2) = all_4_47
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (207), (8001) imply:
% 257.28/65.18 | | | | | | | | | | | (8007) succ(n2) = all_4_46
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | REDUCE: (206), (8004) imply:
% 257.28/65.18 | | | | | | | | | | | (8008) succ(n2) = all_4_43
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_43, n2,
% 257.28/65.18 | | | | | | | | | | | simplifying with (189), (8008) gives:
% 257.28/65.18 | | | | | | | | | | | (8009) all_4_43 = n3
% 257.28/65.18 | | | | | | | | | | |
% 257.28/65.18 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n2,
% 257.28/65.18 | | | | | | | | | | | simplifying with (8007), (8008) gives:
% 257.28/65.18 | | | | | | | | | | | (8010) all_4_43 = all_4_46
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_44, n2,
% 257.28/65.19 | | | | | | | | | | | simplifying with (220), (8005) gives:
% 257.28/65.19 | | | | | | | | | | | (8011) all_4_44 = n1
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n2,
% 257.28/65.19 | | | | | | | | | | | simplifying with (8005), (8006) gives:
% 257.28/65.19 | | | | | | | | | | | (8012) all_4_44 = all_4_47
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8009), (8010) imply:
% 257.28/65.19 | | | | | | | | | | | (8013) all_4_46 = n3
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | SIMP: (8013) implies:
% 257.28/65.19 | | | | | | | | | | | (8014) all_4_46 = n3
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8011), (8012) imply:
% 257.28/65.19 | | | | | | | | | | | (8015) all_4_47 = n1
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (155), (8009), (8011) imply:
% 257.28/65.19 | | | | | | | | | | | (8016) sum(n1, n3) = all_4_42
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (154), (8011), (8014) imply:
% 257.28/65.19 | | | | | | | | | | | (8017) sum(n1, n3) = all_4_40
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (152), (8009), (8015) imply:
% 257.28/65.19 | | | | | | | | | | | (8018) sum(n1, n3) = all_4_41
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (151), (8014), (8015) imply:
% 257.28/65.19 | | | | | | | | | | | (8019) sum(n1, n3) = all_4_45
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_42, n3, n1,
% 257.28/65.19 | | | | | | | | | | | simplifying with (20), (8016) gives:
% 257.28/65.19 | | | | | | | | | | | (8020) all_4_42 = n4
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n3, n1,
% 257.28/65.19 | | | | | | | | | | | simplifying with (8016), (8018) gives:
% 257.28/65.19 | | | | | | | | | | | (8021) all_4_41 = all_4_42
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n3, n1,
% 257.28/65.19 | | | | | | | | | | | simplifying with (8017), (8018) gives:
% 257.28/65.19 | | | | | | | | | | | (8022) all_4_40 = all_4_41
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n3, n1,
% 257.28/65.19 | | | | | | | | | | | simplifying with (8017), (8019) gives:
% 257.28/65.19 | | | | | | | | | | | (8023) all_4_40 = all_4_45
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8022), (8023) imply:
% 257.28/65.19 | | | | | | | | | | | (8024) all_4_41 = all_4_45
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | SIMP: (8024) implies:
% 257.28/65.19 | | | | | | | | | | | (8025) all_4_41 = all_4_45
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8021), (8025) imply:
% 257.28/65.19 | | | | | | | | | | | (8026) all_4_42 = all_4_45
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | SIMP: (8026) implies:
% 257.28/65.19 | | | | | | | | | | | (8027) all_4_42 = all_4_45
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8020), (8027) imply:
% 257.28/65.19 | | | | | | | | | | | (8028) all_4_45 = n4
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8025), (8028) imply:
% 257.28/65.19 | | | | | | | | | | | (8029) all_4_41 = n4
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8023), (8028) imply:
% 257.28/65.19 | | | | | | | | | | | (8030) all_4_40 = n4
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (156), (8029), (8030) imply:
% 257.28/65.19 | | | | | | | | | | | (8031) sum(n4, n4) = all_4_90
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (153), (8020), (8028) imply:
% 257.28/65.19 | | | | | | | | | | | (8032) sum(n4, n4) = all_4_91
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_90, n4, n4,
% 257.28/65.19 | | | | | | | | | | | simplifying with (54), (8031) gives:
% 257.28/65.19 | | | | | | | | | | | (8033) all_4_90 = n8
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n4, n4,
% 257.28/65.19 | | | | | | | | | | | simplifying with (8031), (8032) gives:
% 257.28/65.19 | | | | | | | | | | | (8034) all_4_90 = all_4_91
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | COMBINE_EQS: (8033), (8034) imply:
% 257.28/65.19 | | | | | | | | | | | (8035) all_4_91 = n8
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (240), (8033) imply:
% 257.28/65.19 | | | | | | | | | | | (8036) pred(n8) = all_4_36
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (239), (8035) imply:
% 257.28/65.19 | | | | | | | | | | | (8037) pred(n8) = all_4_39
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (209), (8033) imply:
% 257.28/65.19 | | | | | | | | | | | (8038) succ(n8) = all_4_38
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REDUCE: (208), (8035) imply:
% 257.28/65.19 | | | | | | | | | | | (8039) succ(n8) = all_4_35
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (151),
% 257.28/65.19 | | | | | | | | | | | (152), (153), (154), (155), (156), (157), (158),
% 257.28/65.19 | | | | | | | | | | | (159), (160), (161), (162), (189), (195), (220),
% 257.28/65.19 | | | | | | | | | | | (226), (7896), (7910), (7911), (7939), (7941),
% 257.28/65.19 | | | | | | | | | | | (7970), (7972), (8001), (8004), (8005), (8006),
% 257.28/65.19 | | | | | | | | | | | (8007), (8008), (8036), (8037), (8038), (8039) are
% 257.28/65.19 | | | | | | | | | | | inconsistent by sub-proof #82.
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | Case 2:
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | (8040) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.28/65.19 | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.28/65.19 | | | | | | | | | | | all_4_100 = n0
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | BETA: splitting (7896) gives:
% 257.28/65.19 | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | Case 1:
% 257.28/65.19 | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | (8041) ~ (all_4_88 = all_4_89)
% 257.28/65.19 | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | BETA: splitting (8040) gives:
% 257.28/65.19 | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | Case 1:
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | (8042) all_4_100 = n6
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (230), (8042) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8043) pred(n6) = all_4_76
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (199), (8042) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8044) succ(n6) = all_4_78
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (193), (8044) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8045) all_4_78 = n7
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (224), (8043) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8046) all_4_76 = n5
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (130), (8045), (8046) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8047) sum(n5, n7) = all_4_72
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (7063), (8046) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8048) sum(n5, n10) = all_4_74
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (7065), (8045) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8049) sum(n8, n7) = all_4_77
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (68), (8047) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8050) all_4_72 = n1
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n10, n5,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (71), (8048) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8051) all_4_74 = n4
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n7, n8,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (101), (8049) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8052) all_4_77 = n4
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (129), (8051), (8052) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8053) sum(n4, n4) = all_4_99
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REDUCE: (7067), (8050) imply:
% 257.28/65.19 | | | | | | | | | | | | | (8054) sum(n7, n1) = all_4_98
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (54), (8053) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8055) all_4_99 = n8
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n1, n7,
% 257.28/65.19 | | | | | | | | | | | | | simplifying with (84), (8054) gives:
% 257.28/65.19 | | | | | | | | | | | | | (8056) all_4_98 = n8
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.28/65.19 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.19 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.19 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.19 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.19 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 257.28/65.19 | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 257.28/65.19 | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 257.28/65.19 | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 257.28/65.19 | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.19 | | | | | | | | | | | | | (8041), (8053), (8055), (8056) are inconsistent by
% 257.28/65.19 | | | | | | | | | | | | | sub-proof #138.
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | Case 2:
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | (8057) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.28/65.19 | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | BETA: splitting (8057) gives:
% 257.28/65.19 | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | Case 1:
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | (8058) all_4_100 = n5
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (230), (8058) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8059) pred(n5) = all_4_76
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (199), (8058) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8060) succ(n5) = all_4_78
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (192), (8060) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8061) all_4_78 = n6
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (223), (8059) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8062) all_4_76 = n4
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (130), (8061), (8062) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8063) sum(n4, n6) = all_4_72
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (7063), (8062) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8064) sum(n4, n10) = all_4_74
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (7065), (8061) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8065) sum(n8, n6) = all_4_77
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (56), (8063) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8066) all_4_72 = n10
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (60), (8064) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8067) all_4_74 = n3
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (100), (8065) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8068) all_4_77 = n3
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (129), (8067), (8068) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8069) sum(n3, n3) = all_4_99
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REDUCE: (7067), (8066) imply:
% 257.28/65.19 | | | | | | | | | | | | | | (8070) sum(n7, n10) = all_4_98
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (42), (8069) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8071) all_4_99 = n6
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 257.28/65.19 | | | | | | | | | | | | | | simplifying with (93), (8070) gives:
% 257.28/65.19 | | | | | | | | | | | | | | (8072) all_4_98 = n6
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.28/65.19 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.19 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.19 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.19 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.19 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 257.28/65.19 | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 257.28/65.19 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 257.28/65.19 | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 257.28/65.19 | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.19 | | | | | | | | | | | | | | (8041), (8069), (8071), (8072) are inconsistent by
% 257.28/65.19 | | | | | | | | | | | | | | sub-proof #136.
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | Case 2:
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | (8073) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.28/65.19 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | BETA: splitting (8073) gives:
% 257.28/65.19 | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | Case 1:
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | (8074) all_4_100 = n4
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (230), (8074) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8075) pred(n4) = all_4_76
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (199), (8074) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8076) succ(n4) = all_4_78
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (191), (8076) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8077) all_4_78 = n5
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (222), (8075) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8078) all_4_76 = n3
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (130), (8077), (8078) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8079) sum(n3, n5) = all_4_72
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (7063), (8078) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8080) sum(n3, n10) = all_4_74
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (7065), (8077) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8081) sum(n8, n5) = all_4_77
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (44), (8079) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8082) all_4_72 = n8
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (49), (8080) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8083) all_4_74 = n2
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (99), (8081) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8084) all_4_77 = n2
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (129), (8083), (8084) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8085) sum(n2, n2) = all_4_99
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REDUCE: (7067), (8082) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | (8086) sum(n7, n8) = all_4_98
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (30), (8085) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8087) all_4_99 = n4
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.28/65.19 | | | | | | | | | | | | | | | simplifying with (91), (8086) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | (8088) all_4_98 = n4
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.28/65.19 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.28/65.19 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.19 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.19 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.19 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 257.28/65.19 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 257.28/65.19 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 257.28/65.19 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 257.28/65.19 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.19 | | | | | | | | | | | | | | | (8041), (8085), (8087), (8088) are inconsistent by
% 257.28/65.19 | | | | | | | | | | | | | | | sub-proof #134.
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | Case 2:
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | (8089) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.28/65.19 | | | | | | | | | | | | | | | all_4_100 = n0
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | BETA: splitting (8089) gives:
% 257.28/65.19 | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | Case 1:
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | (8090) all_4_100 = n3
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (230), (8090) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8091) pred(n3) = all_4_76
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (199), (8090) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8092) succ(n3) = all_4_78
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (190), (8092) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8093) all_4_78 = n4
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (221), (8091) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8094) all_4_76 = n2
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (130), (8093), (8094) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8095) sum(n2, n4) = all_4_72
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (7063), (8094) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8096) sum(n2, n10) = all_4_74
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (7065), (8093) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8097) sum(n8, n4) = all_4_77
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (32), (8095) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8098) all_4_72 = n6
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (38), (8096) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8099) all_4_74 = n1
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (98), (8097) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8100) all_4_77 = n1
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (129), (8099), (8100) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8101) sum(n1, n1) = all_4_99
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REDUCE: (7067), (8098) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8102) sum(n7, n6) = all_4_98
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (18), (8101) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8103) all_4_99 = n2
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.28/65.19 | | | | | | | | | | | | | | | | simplifying with (89), (8102) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | (8104) all_4_98 = n2
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.28/65.19 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.28/65.19 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.19 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.19 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.19 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 257.28/65.19 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 257.28/65.19 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 257.28/65.19 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 257.28/65.19 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.19 | | | | | | | | | | | | | | | | (8041), (8101), (8103), (8104) are inconsistent by
% 257.28/65.19 | | | | | | | | | | | | | | | | sub-proof #133.
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | Case 2:
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | (8105) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | BETA: splitting (8105) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | Case 1:
% 257.28/65.19 | | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | | (8106) all_4_100 = n2
% 257.28/65.19 | | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | | REDUCE: (230), (8106) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | | (8107) pred(n2) = all_4_76
% 257.28/65.19 | | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | | REDUCE: (199), (8106) imply:
% 257.28/65.19 | | | | | | | | | | | | | | | | | (8108) succ(n2) = all_4_78
% 257.28/65.19 | | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.28/65.19 | | | | | | | | | | | | | | | | | simplifying with (189), (8108) gives:
% 257.28/65.19 | | | | | | | | | | | | | | | | | (8109) all_4_78 = n3
% 257.28/65.19 | | | | | | | | | | | | | | | | |
% 257.28/65.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.28/65.20 | | | | | | | | | | | | | | | | | simplifying with (220), (8107) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8110) all_4_76 = n1
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | REDUCE: (130), (8109), (8110) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8111) sum(n1, n3) = all_4_72
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | REDUCE: (7063), (8110) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8112) sum(n1, n10) = all_4_74
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | REDUCE: (7065), (8109) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8113) sum(n8, n3) = all_4_77
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.28/65.20 | | | | | | | | | | | | | | | | | simplifying with (20), (8111) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8114) all_4_72 = n4
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.28/65.20 | | | | | | | | | | | | | | | | | simplifying with (27), (8112) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8115) all_4_74 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.28/65.20 | | | | | | | | | | | | | | | | | simplifying with (97), (8113) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8116) all_4_77 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | REDUCE: (129), (8115), (8116) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8117) sum(n0, n0) = all_4_99
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | REDUCE: (7067), (8114) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8118) sum(n7, n4) = all_4_98
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.28/65.20 | | | | | | | | | | | | | | | | | simplifying with (6), (8117) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8119) all_4_99 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.28/65.20 | | | | | | | | | | | | | | | | | simplifying with (87), (8118) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8120) all_4_98 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (8041),
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8117), (8119), (8120) are inconsistent by
% 257.28/65.20 | | | | | | | | | | | | | | | | | sub-proof #131.
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | Case 2:
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | (8121) all_4_100 = n1 | all_4_100 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | BETA: splitting (8121) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | Case 1:
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8122) all_4_100 = n1
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (230), (8122) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8123) pred(n1) = all_4_76
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (199), (8122) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8124) succ(n1) = all_4_78
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (188), (8124) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8125) all_4_78 = n2
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (219), (8123) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8126) all_4_76 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (130), (8125), (8126) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8127) sum(n0, n2) = all_4_72
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8126) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8128) sum(n0, n10) = all_4_74
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8125) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8129) sum(n8, n2) = all_4_77
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (8), (8127) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8130) all_4_72 = n2
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (16), (8128) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8131) all_4_74 = n10
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (96), (8129) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8132) all_4_77 = n10
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (129), (8131), (8132) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8133) sum(n10, n10) = all_4_99
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8130) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8134) sum(n7, n2) = all_4_98
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (85), (8134) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8135) all_4_98 = n9
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (126), (8133) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8136) all_4_99 = n9
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8041), (8133), (8135), (8136) are inconsistent by
% 257.28/65.20 | | | | | | | | | | | | | | | | | | sub-proof #130.
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | Case 2:
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8137) all_4_100 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (230), (8137) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8138) pred(n0) = all_4_76
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (199), (8137) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8139) succ(n0) = all_4_78
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (187), (8139) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8140) all_4_78 = n1
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (218), (8138) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8141) all_4_76 = n10
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (130), (8140), (8141) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8142) sum(n10, n1) = all_4_72
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8141) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8143) sum(n10, n10) = all_4_74
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8140) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8144) sum(n8, n1) = all_4_77
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (95), (8144) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8145) all_4_77 = n9
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (117), (8142) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8146) all_4_72 = n0
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (126), (8143) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8147) all_4_74 = n9
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (129), (8145), (8147) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8148) sum(n9, n9) = all_4_99
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8146) imply:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8149) sum(n7, n0) = all_4_98
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (83), (8149) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8150) all_4_98 = n7
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.28/65.20 | | | | | | | | | | | | | | | | | | simplifying with (114), (8148) gives:
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (8151) all_4_99 = n7
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 257.28/65.20 | | | | | | | | | | | | | | | | | | (7896), (8148), (8150), (8151) are inconsistent by
% 257.28/65.20 | | | | | | | | | | | | | | | | | | sub-proof #81.
% 257.28/65.20 | | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | | End of split
% 257.28/65.20 | | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | | End of split
% 257.28/65.20 | | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | | End of split
% 257.28/65.20 | | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | | End of split
% 257.28/65.20 | | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | End of split
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | End of split
% 257.28/65.20 | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | Case 2:
% 257.28/65.20 | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | (8152) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 257.28/65.20 | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 257.28/65.20 | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 257.28/65.20 | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | BETA: splitting (8040) gives:
% 257.28/65.20 | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | Case 1:
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | (8153) all_4_100 = n6
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (230), (8153) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8154) pred(n6) = all_4_76
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (199), (8153) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8155) succ(n6) = all_4_78
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (193), (8155) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8156) all_4_78 = n7
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (224), (8154) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8157) all_4_76 = n5
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (130), (8156), (8157) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8158) sum(n5, n7) = all_4_72
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (7063), (8157) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8159) sum(n5, n10) = all_4_74
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (7065), (8156) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8160) sum(n8, n7) = all_4_77
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (68), (8158) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8161) all_4_72 = n1
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n10, n5,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (71), (8159) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8162) all_4_74 = n4
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n7, n8,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (101), (8160) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8163) all_4_77 = n4
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (129), (8162), (8163) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8164) sum(n4, n4) = all_4_99
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (7067), (8161) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8165) sum(n7, n1) = all_4_98
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (54), (8164) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8166) all_4_99 = n8
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n1, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (84), (8165) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8167) all_4_98 = n8
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (232), (8167) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8168) pred(n8) = all_4_68
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (231), (8166) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8169) pred(n8) = all_4_71
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (201), (8167) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8170) succ(n8) = all_4_70
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (200), (8166) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8171) succ(n8) = all_4_67
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (195), (8171) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8172) all_4_67 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8170), (8171) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8173) all_4_67 = all_4_70
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (226), (8168) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8174) all_4_68 = n7
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8168), (8169) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8175) all_4_68 = all_4_71
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8172), (8173) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8176) all_4_70 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8176) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8177) all_4_70 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8174), (8175) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8178) all_4_71 = n7
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (137), (8172), (8174) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8179) sum(n7, n9) = all_4_66
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (136), (8174), (8177) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8180) sum(n7, n9) = all_4_64
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (134), (8172), (8178) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8181) sum(n7, n9) = all_4_65
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (133), (8177), (8178) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8182) sum(n7, n9) = all_4_69
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (92), (8181) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8183) all_4_65 = n5
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8179), (8181) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8184) all_4_65 = all_4_66
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8179), (8180) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8185) all_4_64 = all_4_66
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8180), (8182) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8186) all_4_64 = all_4_69
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8185), (8186) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8187) all_4_66 = all_4_69
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8187) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8188) all_4_66 = all_4_69
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8183), (8184) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8189) all_4_66 = n5
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8189) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8190) all_4_66 = n5
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8188), (8190) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8191) all_4_69 = n5
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8186), (8191) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8192) all_4_64 = n5
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (138), (8183), (8192) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8193) sum(n5, n5) = all_4_96
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (135), (8190), (8191) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8194) sum(n5, n5) = all_4_97
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (66), (8193) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8195) all_4_96 = n10
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8193), (8194) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8196) all_4_96 = all_4_97
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8195), (8196) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8197) all_4_97 = n10
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (234), (8195) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8198) pred(n10) = all_4_60
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (233), (8197) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8199) pred(n10) = all_4_63
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (203), (8195) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8200) succ(n10) = all_4_62
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (202), (8197) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8201) succ(n10) = all_4_59
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (197), (8201) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8202) all_4_59 = n0
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8200), (8201) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8203) all_4_59 = all_4_62
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (228), (8198) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8204) all_4_60 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8198), (8199) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8205) all_4_60 = all_4_63
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8202), (8203) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8206) all_4_62 = n0
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8206) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8207) all_4_62 = n0
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8204), (8205) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8208) all_4_63 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (143), (8202), (8204) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8209) sum(n9, n0) = all_4_58
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (142), (8204), (8207) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8210) sum(n9, n0) = all_4_56
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (140), (8202), (8208) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8211) sum(n9, n0) = all_4_57
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (139), (8207), (8208) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8212) sum(n9, n0) = all_4_61
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_58, n0, n9,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (105), (8209) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8213) all_4_58 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8209), (8211) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8214) all_4_57 = all_4_58
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8210), (8211) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8215) all_4_56 = all_4_57
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8210), (8212) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8216) all_4_56 = all_4_61
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8215), (8216) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8217) all_4_57 = all_4_61
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8217) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8218) all_4_57 = all_4_61
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8214), (8218) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8219) all_4_58 = all_4_61
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8219) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8220) all_4_58 = all_4_61
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8213), (8220) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8221) all_4_61 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8218), (8221) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8222) all_4_57 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8216), (8221) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8223) all_4_56 = n9
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (144), (8222), (8223) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8224) sum(n9, n9) = all_4_94
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (141), (8213), (8221) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8225) sum(n9, n9) = all_4_95
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (114), (8224) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8226) all_4_94 = n7
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8224), (8225) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8227) all_4_94 = all_4_95
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8226), (8227) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8228) all_4_95 = n7
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (236), (8226) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8229) pred(n7) = all_4_52
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (235), (8228) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8230) pred(n7) = all_4_55
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (205), (8226) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8231) succ(n7) = all_4_54
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (204), (8228) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8232) succ(n7) = all_4_51
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (194), (8232) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8233) all_4_51 = n8
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8231), (8232) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8234) all_4_51 = all_4_54
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (225), (8229) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8235) all_4_52 = n6
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 257.28/65.20 | | | | | | | | | | | | | simplifying with (8229), (8230) gives:
% 257.28/65.20 | | | | | | | | | | | | | (8236) all_4_52 = all_4_55
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8233), (8234) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8237) all_4_54 = n8
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | SIMP: (8237) implies:
% 257.28/65.20 | | | | | | | | | | | | | (8238) all_4_54 = n8
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | COMBINE_EQS: (8235), (8236) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8239) all_4_55 = n6
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (149), (8233), (8235) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8240) sum(n6, n8) = all_4_50
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (148), (8235), (8238) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8241) sum(n6, n8) = all_4_48
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (146), (8233), (8239) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8242) sum(n6, n8) = all_4_49
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.20 | | | | | | | | | | | | | REDUCE: (145), (8238), (8239) imply:
% 257.28/65.20 | | | | | | | | | | | | | (8243) sum(n6, n8) = all_4_53
% 257.28/65.20 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_50, n8, n6,
% 257.28/65.21 | | | | | | | | | | | | | simplifying with (80), (8240) gives:
% 257.28/65.21 | | | | | | | | | | | | | (8244) all_4_50 = n3
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 257.28/65.21 | | | | | | | | | | | | | simplifying with (8240), (8242) gives:
% 257.28/65.21 | | | | | | | | | | | | | (8245) all_4_49 = all_4_50
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 257.28/65.21 | | | | | | | | | | | | | simplifying with (8241), (8242) gives:
% 257.28/65.21 | | | | | | | | | | | | | (8246) all_4_48 = all_4_49
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 257.28/65.21 | | | | | | | | | | | | | simplifying with (8241), (8243) gives:
% 257.28/65.21 | | | | | | | | | | | | | (8247) all_4_48 = all_4_53
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | COMBINE_EQS: (8246), (8247) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8248) all_4_49 = all_4_53
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | SIMP: (8248) implies:
% 257.28/65.21 | | | | | | | | | | | | | (8249) all_4_49 = all_4_53
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | COMBINE_EQS: (8245), (8249) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8250) all_4_50 = all_4_53
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | SIMP: (8250) implies:
% 257.28/65.21 | | | | | | | | | | | | | (8251) all_4_50 = all_4_53
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | COMBINE_EQS: (8244), (8251) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8252) all_4_53 = n3
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | COMBINE_EQS: (8249), (8252) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8253) all_4_49 = n3
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | COMBINE_EQS: (8247), (8252) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8254) all_4_48 = n3
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | REDUCE: (150), (8253), (8254) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8255) sum(n3, n3) = all_4_92
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | REDUCE: (147), (8244), (8252) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8256) sum(n3, n3) = all_4_93
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 257.28/65.21 | | | | | | | | | | | | | simplifying with (42), (8255) gives:
% 257.28/65.21 | | | | | | | | | | | | | (8257) all_4_92 = n6
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 257.28/65.21 | | | | | | | | | | | | | simplifying with (8255), (8256) gives:
% 257.28/65.21 | | | | | | | | | | | | | (8258) all_4_92 = all_4_93
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | COMBINE_EQS: (8257), (8258) imply:
% 257.28/65.21 | | | | | | | | | | | | | (8259) all_4_93 = n6
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | SIMP: (8259) implies:
% 257.28/65.21 | | | | | | | | | | | | | (8260) all_4_93 = n6
% 257.28/65.21 | | | | | | | | | | | | |
% 257.28/65.21 | | | | | | | | | | | | | REDUCE: (238), (8257) imply:
% 257.57/65.21 | | | | | | | | | | | | | (8261) pred(n6) = all_4_44
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | REDUCE: (237), (8260) imply:
% 257.57/65.21 | | | | | | | | | | | | | (8262) pred(n6) = all_4_47
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | REDUCE: (207), (8257) imply:
% 257.57/65.21 | | | | | | | | | | | | | (8263) succ(n6) = all_4_46
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | REDUCE: (206), (8260) imply:
% 257.57/65.21 | | | | | | | | | | | | | (8264) succ(n6) = all_4_43
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (145),
% 257.57/65.21 | | | | | | | | | | | | | (146), (147), (148), (149), (150), (151), (152),
% 257.57/65.21 | | | | | | | | | | | | | (153), (154), (155), (156), (193), (194), (224),
% 257.57/65.21 | | | | | | | | | | | | | (225), (8152), (8166), (8167), (8195), (8197),
% 257.57/65.21 | | | | | | | | | | | | | (8226), (8228), (8229), (8230), (8231), (8232),
% 257.57/65.21 | | | | | | | | | | | | | (8261), (8262), (8263), (8264) are inconsistent by
% 257.57/65.21 | | | | | | | | | | | | | sub-proof #80.
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | Case 2:
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | (8265) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.57/65.21 | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | BETA: splitting (8152) gives:
% 257.57/65.21 | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | Case 1:
% 257.57/65.21 | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | (8266) ~ (all_4_90 = all_4_91)
% 257.57/65.21 | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | BETA: splitting (8265) gives:
% 257.57/65.21 | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | Case 1:
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | (8267) all_4_100 = n5
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (230), (8267) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8268) pred(n5) = all_4_76
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (199), (8267) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8269) succ(n5) = all_4_78
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (192), (8269) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8270) all_4_78 = n6
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (223), (8268) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8271) all_4_76 = n4
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (130), (8270), (8271) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8272) sum(n4, n6) = all_4_72
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (7063), (8271) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8273) sum(n4, n10) = all_4_74
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (7065), (8270) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8274) sum(n8, n6) = all_4_77
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (56), (8272) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8275) all_4_72 = n10
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (60), (8273) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8276) all_4_74 = n3
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (100), (8274) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8277) all_4_77 = n3
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (129), (8276), (8277) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8278) sum(n3, n3) = all_4_99
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REDUCE: (7067), (8275) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | (8279) sum(n7, n10) = all_4_98
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (42), (8278) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8280) all_4_99 = n6
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 257.57/65.21 | | | | | | | | | | | | | | | simplifying with (93), (8279) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | (8281) all_4_98 = n6
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 257.57/65.21 | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 257.57/65.21 | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 257.57/65.21 | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 257.57/65.21 | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 257.57/65.21 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.57/65.21 | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 257.57/65.21 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.21 | | | | | | | | | | | | | | | (238), (8266), (8280), (8281) are inconsistent by
% 257.57/65.21 | | | | | | | | | | | | | | | sub-proof #123.
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | Case 2:
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | (8282) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.57/65.21 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | BETA: splitting (8282) gives:
% 257.57/65.21 | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | Case 1:
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | (8283) all_4_100 = n4
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (230), (8283) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8284) pred(n4) = all_4_76
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (199), (8283) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8285) succ(n4) = all_4_78
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (191), (8285) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8286) all_4_78 = n5
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (222), (8284) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8287) all_4_76 = n3
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (130), (8286), (8287) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8288) sum(n3, n5) = all_4_72
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (7063), (8287) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8289) sum(n3, n10) = all_4_74
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (7065), (8286) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8290) sum(n8, n5) = all_4_77
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (44), (8288) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8291) all_4_72 = n8
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (49), (8289) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8292) all_4_74 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (99), (8290) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8293) all_4_77 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (129), (8292), (8293) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8294) sum(n2, n2) = all_4_99
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REDUCE: (7067), (8291) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8295) sum(n7, n8) = all_4_98
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (30), (8294) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8296) all_4_99 = n4
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.57/65.21 | | | | | | | | | | | | | | | | simplifying with (91), (8295) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | (8297) all_4_98 = n4
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 257.57/65.21 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.57/65.21 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.21 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.21 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 257.57/65.21 | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 257.57/65.21 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 257.57/65.21 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 257.57/65.21 | | | | | | | | | | | | | | | | (237), (238), (8266), (8296), (8297) are
% 257.57/65.21 | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | Case 2:
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | (8298) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.57/65.21 | | | | | | | | | | | | | | | | all_4_100 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | BETA: splitting (8298) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8299) all_4_100 = n3
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (230), (8299) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8300) pred(n3) = all_4_76
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (199), (8299) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8301) succ(n3) = all_4_78
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (190), (8301) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8302) all_4_78 = n4
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (221), (8300) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8303) all_4_76 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (130), (8302), (8303) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8304) sum(n2, n4) = all_4_72
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (7063), (8303) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8305) sum(n2, n10) = all_4_74
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (7065), (8302) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8306) sum(n8, n4) = all_4_77
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (32), (8304) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8307) all_4_72 = n6
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (38), (8305) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8308) all_4_74 = n1
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (98), (8306) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8309) all_4_77 = n1
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (129), (8308), (8309) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8310) sum(n1, n1) = all_4_99
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REDUCE: (7067), (8307) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8311) sum(n7, n6) = all_4_98
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (18), (8310) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8312) all_4_99 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.57/65.21 | | | | | | | | | | | | | | | | | simplifying with (89), (8311) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8313) all_4_98 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.21 | | | | | | | | | | | | | | | | | (238), (8266), (8312), (8313) are inconsistent by
% 257.57/65.21 | | | | | | | | | | | | | | | | | sub-proof #120.
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | (8314) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | BETA: splitting (8314) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8315) all_4_100 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (230), (8315) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8316) pred(n2) = all_4_76
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (199), (8315) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8317) succ(n2) = all_4_78
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (189), (8317) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8318) all_4_78 = n3
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (220), (8316) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8319) all_4_76 = n1
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (130), (8318), (8319) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8320) sum(n1, n3) = all_4_72
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8319) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8321) sum(n1, n10) = all_4_74
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8318) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8322) sum(n8, n3) = all_4_77
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (20), (8320) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8323) all_4_72 = n4
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (27), (8321) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8324) all_4_74 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (97), (8322) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8325) all_4_77 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (129), (8324), (8325) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8326) sum(n0, n0) = all_4_99
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8323) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8327) sum(n7, n4) = all_4_98
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (6), (8326) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8328) all_4_99 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | simplifying with (87), (8327) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8329) all_4_98 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (236), (237), (238), (8266), (8326), (8328),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8329) are inconsistent by sub-proof #118.
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | (8330) all_4_100 = n1 | all_4_100 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | BETA: splitting (8330) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8331) all_4_100 = n1
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8331) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8332) pred(n1) = all_4_76
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8331) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8333) succ(n1) = all_4_78
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (188), (8333) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8334) all_4_78 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (219), (8332) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8335) all_4_76 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8334), (8335) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8336) sum(n0, n2) = all_4_72
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8335) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8337) sum(n0, n10) = all_4_74
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8334) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8338) sum(n8, n2) = all_4_77
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (8), (8336) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8339) all_4_72 = n2
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (16), (8337) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8340) all_4_74 = n10
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (96), (8338) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8341) all_4_77 = n10
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8340), (8341) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8342) sum(n10, n10) = all_4_99
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8339) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8343) sum(n7, n2) = all_4_98
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (85), (8343) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8344) all_4_98 = n9
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (126), (8342) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8345) all_4_99 = n9
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (238), (8266), (8344), (8345) are inconsistent by
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | sub-proof #117.
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8346) all_4_100 = n0
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8346) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8347) pred(n0) = all_4_76
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8346) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8348) succ(n0) = all_4_78
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (187), (8348) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8349) all_4_78 = n1
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | simplifying with (218), (8347) gives:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8350) all_4_76 = n10
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8349), (8350) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8351) sum(n10, n1) = all_4_72
% 257.57/65.21 | | | | | | | | | | | | | | | | | | |
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8350) imply:
% 257.57/65.21 | | | | | | | | | | | | | | | | | | | (8352) sum(n10, n10) = all_4_74
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8349) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8353) sum(n8, n1) = all_4_77
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | simplifying with (95), (8353) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8354) all_4_77 = n9
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | simplifying with (117), (8351) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8355) all_4_72 = n0
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | simplifying with (126), (8352) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8356) all_4_74 = n9
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8354), (8356) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8357) sum(n9, n9) = all_4_99
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8355) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8358) sum(n7, n0) = all_4_98
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | simplifying with (83), (8358) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8359) all_4_98 = n7
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | simplifying with (114), (8357) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8360) all_4_99 = n7
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (80), (92), (133), (134), (135), (136), (137),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (194), (195), (200), (201), (202), (203), (204),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (226),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (238), (8152), (8359), (8360) are inconsistent by
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | End of split
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | End of split
% 257.57/65.22 | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | End of split
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | End of split
% 257.57/65.22 | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | Case 2:
% 257.57/65.22 | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | (8361) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 257.57/65.22 | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 257.57/65.22 | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 257.57/65.22 | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | BETA: splitting (8265) gives:
% 257.57/65.22 | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | Case 1:
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | (8362) all_4_100 = n5
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (230), (8362) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8363) pred(n5) = all_4_76
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (199), (8362) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8364) succ(n5) = all_4_78
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (192), (8364) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8365) all_4_78 = n6
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (223), (8363) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8366) all_4_76 = n4
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (130), (8365), (8366) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8367) sum(n4, n6) = all_4_72
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (7063), (8366) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8368) sum(n4, n10) = all_4_74
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (7065), (8365) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8369) sum(n8, n6) = all_4_77
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (56), (8367) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8370) all_4_72 = n10
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n10, n4,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (60), (8368) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8371) all_4_74 = n3
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n6, n8,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (100), (8369) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8372) all_4_77 = n3
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (129), (8371), (8372) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8373) sum(n3, n3) = all_4_99
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (7067), (8370) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8374) sum(n7, n10) = all_4_98
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (42), (8373) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8375) all_4_99 = n6
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n10, n7,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (93), (8374) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8376) all_4_98 = n6
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (232), (8376) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8377) pred(n6) = all_4_68
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (231), (8375) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8378) pred(n6) = all_4_71
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (201), (8376) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8379) succ(n6) = all_4_70
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (200), (8375) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8380) succ(n6) = all_4_67
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (193), (8380) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8381) all_4_67 = n7
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8379), (8380) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8382) all_4_67 = all_4_70
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (224), (8377) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8383) all_4_68 = n5
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8377), (8378) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8384) all_4_68 = all_4_71
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8381), (8382) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8385) all_4_70 = n7
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | SIMP: (8385) implies:
% 257.57/65.22 | | | | | | | | | | | | | | | (8386) all_4_70 = n7
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8383), (8384) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8387) all_4_71 = n5
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (137), (8381), (8383) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8388) sum(n5, n7) = all_4_66
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (136), (8383), (8386) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8389) sum(n5, n7) = all_4_64
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (134), (8381), (8387) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8390) sum(n5, n7) = all_4_65
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (133), (8386), (8387) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8391) sum(n5, n7) = all_4_69
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (68), (8390) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8392) all_4_65 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8388), (8390) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8393) all_4_65 = all_4_66
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8388), (8389) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8394) all_4_64 = all_4_66
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8389), (8391) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8395) all_4_64 = all_4_69
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8394), (8395) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8396) all_4_66 = all_4_69
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | SIMP: (8396) implies:
% 257.57/65.22 | | | | | | | | | | | | | | | (8397) all_4_66 = all_4_69
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8392), (8393) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8398) all_4_66 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | SIMP: (8398) implies:
% 257.57/65.22 | | | | | | | | | | | | | | | (8399) all_4_66 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8397), (8399) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8400) all_4_69 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8395), (8400) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8401) all_4_64 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (138), (8392), (8401) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8402) sum(n1, n1) = all_4_96
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (135), (8399), (8400) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8403) sum(n1, n1) = all_4_97
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (18), (8402) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8404) all_4_96 = n2
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8402), (8403) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8405) all_4_96 = all_4_97
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8404), (8405) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8406) all_4_97 = n2
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (234), (8404) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8407) pred(n2) = all_4_60
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (233), (8406) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8408) pred(n2) = all_4_63
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (203), (8404) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8409) succ(n2) = all_4_62
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (202), (8406) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8410) succ(n2) = all_4_59
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (189), (8410) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8411) all_4_59 = n3
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8409), (8410) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8412) all_4_59 = all_4_62
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (220), (8407) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8413) all_4_60 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8407), (8408) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8414) all_4_60 = all_4_63
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8411), (8412) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8415) all_4_62 = n3
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | SIMP: (8415) implies:
% 257.57/65.22 | | | | | | | | | | | | | | | (8416) all_4_62 = n3
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8413), (8414) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8417) all_4_63 = n1
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (143), (8411), (8413) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8418) sum(n1, n3) = all_4_58
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (142), (8413), (8416) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8419) sum(n1, n3) = all_4_56
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (140), (8411), (8417) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8420) sum(n1, n3) = all_4_57
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (139), (8416), (8417) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8421) sum(n1, n3) = all_4_61
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_58, n3, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (20), (8418) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8422) all_4_58 = n4
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8418), (8420) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8423) all_4_57 = all_4_58
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8419), (8420) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8424) all_4_56 = all_4_57
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8419), (8421) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8425) all_4_56 = all_4_61
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8424), (8425) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8426) all_4_57 = all_4_61
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | SIMP: (8426) implies:
% 257.57/65.22 | | | | | | | | | | | | | | | (8427) all_4_57 = all_4_61
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8423), (8427) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8428) all_4_58 = all_4_61
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | SIMP: (8428) implies:
% 257.57/65.22 | | | | | | | | | | | | | | | (8429) all_4_58 = all_4_61
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8422), (8429) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8430) all_4_61 = n4
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8427), (8430) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8431) all_4_57 = n4
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8425), (8430) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8432) all_4_56 = n4
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (144), (8431), (8432) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8433) sum(n4, n4) = all_4_94
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (141), (8422), (8430) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8434) sum(n4, n4) = all_4_95
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (54), (8433) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8435) all_4_94 = n8
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 257.57/65.22 | | | | | | | | | | | | | | | simplifying with (8433), (8434) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | (8436) all_4_94 = all_4_95
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | COMBINE_EQS: (8435), (8436) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8437) all_4_95 = n8
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (236), (8435) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8438) pred(n8) = all_4_52
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (235), (8437) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8439) pred(n8) = all_4_55
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (205), (8435) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8440) succ(n8) = all_4_54
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REDUCE: (204), (8437) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | (8441) succ(n8) = all_4_51
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (139),
% 257.57/65.22 | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 257.57/65.22 | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (195), (220),
% 257.57/65.22 | | | | | | | | | | | | | | | (226), (8361), (8375), (8376), (8404), (8406),
% 257.57/65.22 | | | | | | | | | | | | | | | (8407), (8408), (8409), (8410), (8438), (8439),
% 257.57/65.22 | | | | | | | | | | | | | | | (8440), (8441) are inconsistent by sub-proof #78.
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | Case 2:
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | (8442) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.57/65.22 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | BETA: splitting (8361) gives:
% 257.57/65.22 | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | Case 1:
% 257.57/65.22 | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | (8443) ~ (all_4_92 = all_4_93)
% 257.57/65.22 | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | BETA: splitting (8442) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8444) all_4_100 = n4
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (230), (8444) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8445) pred(n4) = all_4_76
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (199), (8444) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8446) succ(n4) = all_4_78
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (191), (8446) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8447) all_4_78 = n5
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (222), (8445) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8448) all_4_76 = n3
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (130), (8447), (8448) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8449) sum(n3, n5) = all_4_72
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (7063), (8448) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8450) sum(n3, n10) = all_4_74
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (7065), (8447) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8451) sum(n8, n5) = all_4_77
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (44), (8449) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8452) all_4_72 = n8
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (49), (8450) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8453) all_4_74 = n2
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (99), (8451) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8454) all_4_77 = n2
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (129), (8453), (8454) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8455) sum(n2, n2) = all_4_99
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REDUCE: (7067), (8452) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8456) sum(n7, n8) = all_4_98
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (30), (8455) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8457) all_4_99 = n4
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.57/65.22 | | | | | | | | | | | | | | | | | simplifying with (91), (8456) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8458) all_4_98 = n4
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 257.57/65.22 | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 257.57/65.22 | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 257.57/65.22 | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 257.57/65.22 | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 257.57/65.22 | | | | | | | | | | | | | | | | | (222), (223), (227), (231), (232), (233), (234),
% 257.57/65.22 | | | | | | | | | | | | | | | | | (235), (236), (8443), (8457), (8458) are
% 257.57/65.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | (8459) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.57/65.22 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | BETA: splitting (8459) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8460) all_4_100 = n3
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (230), (8460) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8461) pred(n3) = all_4_76
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (199), (8460) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8462) succ(n3) = all_4_78
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (190), (8462) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8463) all_4_78 = n4
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (221), (8461) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8464) all_4_76 = n2
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (130), (8463), (8464) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8465) sum(n2, n4) = all_4_72
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8464) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8466) sum(n2, n10) = all_4_74
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8463) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8467) sum(n8, n4) = all_4_77
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (32), (8465) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8468) all_4_72 = n6
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (38), (8466) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8469) all_4_74 = n1
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (98), (8467) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8470) all_4_77 = n1
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (129), (8469), (8470) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8471) sum(n1, n1) = all_4_99
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8468) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8472) sum(n7, n6) = all_4_98
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (18), (8471) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8473) all_4_99 = n2
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | simplifying with (89), (8472) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8474) all_4_98 = n2
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (220), (226), (228), (231), (232), (233), (234),
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (235), (236), (8443), (8473), (8474) are
% 257.57/65.22 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | (8475) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | BETA: splitting (8475) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8476) all_4_100 = n2
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8476) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8477) pred(n2) = all_4_76
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8476) imply:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8478) succ(n2) = all_4_78
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | simplifying with (189), (8478) gives:
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | (8479) all_4_78 = n3
% 257.57/65.22 | | | | | | | | | | | | | | | | | | |
% 257.57/65.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (220), (8477) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8480) all_4_76 = n1
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8479), (8480) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8481) sum(n1, n3) = all_4_72
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8480) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8482) sum(n1, n10) = all_4_74
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8479) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8483) sum(n8, n3) = all_4_77
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (20), (8481) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8484) all_4_72 = n4
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (27), (8482) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8485) all_4_74 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (97), (8483) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8486) all_4_77 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8485), (8486) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8487) sum(n0, n0) = all_4_99
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8484) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8488) sum(n7, n4) = all_4_98
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (6), (8487) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8489) all_4_99 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (87), (8488) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8490) all_4_98 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8443), (8487), (8489), (8490) are inconsistent by
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | sub-proof #108.
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8491) all_4_100 = n1 | all_4_100 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (8491) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8492) all_4_100 = n1
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8492) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8493) pred(n1) = all_4_76
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8492) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8494) succ(n1) = all_4_78
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (8494) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8495) all_4_78 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (8493) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8496) all_4_76 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8495), (8496) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8497) sum(n0, n2) = all_4_72
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8496) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8498) sum(n0, n10) = all_4_74
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8495) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8499) sum(n8, n2) = all_4_77
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (8497) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8500) all_4_72 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (16), (8498) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8501) all_4_74 = n10
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (96), (8499) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8502) all_4_77 = n10
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8501), (8502) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8503) sum(n10, n10) = all_4_99
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8500) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8504) sum(n7, n2) = all_4_98
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (85), (8504) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8505) all_4_98 = n9
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (235), (236), (8443), (8503), (8505) are
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8506) all_4_100 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8506) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8507) pred(n0) = all_4_76
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8506) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8508) succ(n0) = all_4_78
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (8508) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8509) all_4_78 = n1
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (8507) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8510) all_4_76 = n10
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8509), (8510) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8511) sum(n10, n1) = all_4_72
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8510) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8512) sum(n10, n10) = all_4_74
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8509) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8513) sum(n8, n1) = all_4_77
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (95), (8513) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8514) all_4_77 = n9
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8511) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8515) all_4_72 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (126), (8512) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8516) all_4_74 = n9
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8514), (8516) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8517) sum(n9, n9) = all_4_99
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8515) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8518) sum(n7, n0) = all_4_98
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (83), (8518) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8519) all_4_98 = n7
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (193),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (194), (200), (201), (202), (203), (204), (205),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (231), (232), (233), (234),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (235), (236), (8361), (8517), (8519) are
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.23 | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | End of split
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | End of split
% 257.57/65.23 | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | Case 2:
% 257.57/65.23 | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | (8520) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 257.57/65.23 | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 257.57/65.23 | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | BETA: splitting (8442) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8521) all_4_100 = n4
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (230), (8521) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8522) pred(n4) = all_4_76
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (199), (8521) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8523) succ(n4) = all_4_78
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (191), (8523) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8524) all_4_78 = n5
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (222), (8522) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8525) all_4_76 = n3
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (130), (8524), (8525) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8526) sum(n3, n5) = all_4_72
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (7063), (8525) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8527) sum(n3, n10) = all_4_74
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (7065), (8524) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8528) sum(n8, n5) = all_4_77
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (44), (8526) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8529) all_4_72 = n8
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n10, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (49), (8527) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8530) all_4_74 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n5, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (99), (8528) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8531) all_4_77 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (129), (8530), (8531) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8532) sum(n2, n2) = all_4_99
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (7067), (8529) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8533) sum(n7, n8) = all_4_98
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (30), (8532) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8534) all_4_99 = n4
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n8, n7,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (91), (8533) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8535) all_4_98 = n4
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (232), (8535) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8536) pred(n4) = all_4_68
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (231), (8534) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8537) pred(n4) = all_4_71
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (201), (8535) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8538) succ(n4) = all_4_70
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (200), (8534) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8539) succ(n4) = all_4_67
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (191), (8539) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8540) all_4_67 = n5
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (8538), (8539) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8541) all_4_67 = all_4_70
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (222), (8536) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8542) all_4_68 = n3
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (8536), (8537) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8543) all_4_68 = all_4_71
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8540), (8541) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8544) all_4_70 = n5
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | SIMP: (8544) implies:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8545) all_4_70 = n5
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8542), (8543) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8546) all_4_71 = n3
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (137), (8540), (8542) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8547) sum(n3, n5) = all_4_66
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (136), (8542), (8545) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8548) sum(n3, n5) = all_4_64
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (134), (8540), (8546) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8549) sum(n3, n5) = all_4_65
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (133), (8545), (8546) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8550) sum(n3, n5) = all_4_69
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (44), (8549) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8551) all_4_65 = n8
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (8547), (8549) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8552) all_4_65 = all_4_66
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (8547), (8548) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8553) all_4_64 = all_4_66
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (8548), (8550) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8554) all_4_64 = all_4_69
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8553), (8554) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8555) all_4_66 = all_4_69
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | SIMP: (8555) implies:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8556) all_4_66 = all_4_69
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8551), (8552) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8557) all_4_66 = n8
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | SIMP: (8557) implies:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8558) all_4_66 = n8
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8556), (8558) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8559) all_4_69 = n8
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8554), (8559) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8560) all_4_64 = n8
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (138), (8551), (8560) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8561) sum(n8, n8) = all_4_96
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (135), (8558), (8559) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8562) sum(n8, n8) = all_4_97
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (102), (8561) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8563) all_4_96 = n5
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | simplifying with (8561), (8562) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8564) all_4_96 = all_4_97
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8563), (8564) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8565) all_4_97 = n5
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (234), (8563) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8566) pred(n5) = all_4_60
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (233), (8565) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8567) pred(n5) = all_4_63
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (203), (8563) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8568) succ(n5) = all_4_62
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REDUCE: (202), (8565) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8569) succ(n5) = all_4_59
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (102), (126), (133),
% 257.57/65.23 | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 257.57/65.23 | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (191), (192), (222),
% 257.57/65.23 | | | | | | | | | | | | | | | | | (223), (8520), (8534), (8535), (8536), (8537),
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8538), (8539), (8566), (8567), (8568), (8569) are
% 257.57/65.23 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75.
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | (8570) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.57/65.23 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | BETA: splitting (8520) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.23 | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | (8571) ~ (all_4_94 = all_4_95)
% 257.57/65.23 | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | BETA: splitting (8570) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8572) all_4_100 = n3
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8572) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8573) pred(n3) = all_4_76
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8572) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8574) succ(n3) = all_4_78
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (190), (8574) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8575) all_4_78 = n4
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (221), (8573) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8576) all_4_76 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8575), (8576) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8577) sum(n2, n4) = all_4_72
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8576) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8578) sum(n2, n10) = all_4_74
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8575) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8579) sum(n8, n4) = all_4_77
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (32), (8577) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8580) all_4_72 = n6
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (38), (8578) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8581) all_4_74 = n1
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (98), (8579) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8582) all_4_77 = n1
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8581), (8582) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8583) sum(n1, n1) = all_4_99
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8580) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8584) sum(n7, n6) = all_4_98
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (18), (8583) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8585) all_4_99 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | simplifying with (89), (8584) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8586) all_4_98 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (200),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (226), (231), (232),
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (233), (234), (8571), (8585), (8586) are
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | (8587) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (8587) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8588) all_4_100 = n2
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8588) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8589) pred(n2) = all_4_76
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8588) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8590) succ(n2) = all_4_78
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (8590) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8591) all_4_78 = n3
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (8589) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8592) all_4_76 = n1
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8591), (8592) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8593) sum(n1, n3) = all_4_72
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8592) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8594) sum(n1, n10) = all_4_74
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8591) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8595) sum(n8, n3) = all_4_77
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (8593) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8596) all_4_72 = n4
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (27), (8594) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8597) all_4_74 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (97), (8595) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8598) all_4_77 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8597), (8598) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8599) sum(n0, n0) = all_4_99
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8596) imply:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8600) sum(n7, n4) = all_4_98
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (8599) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8601) all_4_99 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | simplifying with (87), (8600) gives:
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | | (8602) all_4_98 = n0
% 257.57/65.23 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (144), (187), (200), (201), (202), (203), (218),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (8571), (8599),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (8601), (8602) are inconsistent by sub-proof #100.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (8603) all_4_100 = n1 | all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8603) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8604) all_4_100 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8604) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8605) pred(n1) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8604) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8606) succ(n1) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (8606) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8607) all_4_78 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (8605) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8608) all_4_76 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8607), (8608) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8609) sum(n0, n2) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8608) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8610) sum(n0, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8607) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8611) sum(n8, n2) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (8609) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8612) all_4_72 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (8610) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8613) all_4_74 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (8611) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8614) all_4_77 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8613), (8614) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8615) sum(n10, n10) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8612) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8616) sum(n7, n2) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (85), (8616) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8617) all_4_98 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (8571), (8615), (8617) are
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #98.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8618) all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8618) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8619) pred(n0) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8618) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8620) succ(n0) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (8620) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8621) all_4_78 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (8619) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8622) all_4_76 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8621), (8622) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8623) sum(n10, n1) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8622) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8624) sum(n10, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8621) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8625) sum(n8, n1) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (8625) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8626) all_4_77 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8623) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8627) all_4_72 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (8624) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8628) all_4_74 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8626), (8628) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8629) sum(n9, n9) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8627) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8630) sum(n7, n0) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (83), (8630) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8631) all_4_98 = n7
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (114),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (193), (194),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (224), (225), (231),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (8520), (8629), (8631) are
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.24 | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | (8632) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 257.57/65.24 | | | | | | | | | | | | | | | | | | all_4_99)
% 257.57/65.24 | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | BETA: splitting (8570) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8633) all_4_100 = n3
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8633) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8634) pred(n3) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8633) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8635) succ(n3) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (190), (8635) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8636) all_4_78 = n4
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (221), (8634) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8637) all_4_76 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8636), (8637) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8638) sum(n2, n4) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8637) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8639) sum(n2, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8636) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8640) sum(n8, n4) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (32), (8638) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8641) all_4_72 = n6
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n10, n2,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (38), (8639) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8642) all_4_74 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n4, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (98), (8640) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8643) all_4_77 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8642), (8643) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8644) sum(n1, n1) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8641) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8645) sum(n7, n6) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (18), (8644) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8646) all_4_99 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n6, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | simplifying with (89), (8645) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8647) all_4_98 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (232), (8647) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8648) pred(n2) = all_4_68
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (231), (8646) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8649) pred(n2) = all_4_71
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (8647) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8650) succ(n2) = all_4_70
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REDUCE: (200), (8646) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8651) succ(n2) = all_4_67
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (133), (134), (135),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (136), (137), (138), (189), (220), (8632), (8646),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8647), (8648), (8649), (8650), (8651) are
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | (8652) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (8632) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (8653) ~ (all_4_96 = all_4_97)
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8652) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8654) all_4_100 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8654) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8655) pred(n2) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8654) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8656) succ(n2) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (8656) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8657) all_4_78 = n3
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (8655) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8658) all_4_76 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8657), (8658) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8659) sum(n1, n3) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8658) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8660) sum(n1, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8657) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8661) sum(n8, n3) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (8659) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8662) all_4_72 = n4
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (27), (8660) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8663) all_4_74 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (8661) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8664) all_4_77 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8663), (8664) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8665) sum(n0, n0) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8662) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8666) sum(n7, n4) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (8665) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8667) all_4_99 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (87), (8666) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8668) all_4_98 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (137), (138), (187), (200), (201), (218), (231),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (232), (8653), (8665), (8667), (8668) are
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8669) all_4_100 = n1 | all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8669) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8670) all_4_100 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8670) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8671) pred(n1) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8670) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8672) succ(n1) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (8672) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8673) all_4_78 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (8671) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8674) all_4_76 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8673), (8674) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8675) sum(n0, n2) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8674) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8676) sum(n0, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8673) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8677) sum(n8, n2) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (8675) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8678) all_4_72 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (8676) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8679) all_4_74 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (8677) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8680) all_4_77 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8679), (8680) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8681) sum(n10, n10) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8678) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8682) sum(n7, n2) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (85), (8682) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8683) all_4_98 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (126), (133), (134),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (196), (200), (201),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (8653), (8681), (8683) are
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8684) all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8684) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8685) pred(n0) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8684) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8686) succ(n0) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (8686) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8687) all_4_78 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (8685) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8688) all_4_76 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8687), (8688) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8689) sum(n10, n1) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8688) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8690) sum(n10, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8687) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8691) sum(n8, n1) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (8691) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8692) all_4_77 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8689) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8693) all_4_72 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (8690) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8694) all_4_74 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8692), (8694) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8695) sum(n9, n9) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8693) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8696) sum(n7, n0) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (83), (8696) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8697) all_4_98 = n7
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (114), (133), (134),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (194), (200), (201),
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (225), (231), (232), (8632), (8695), (8697) are
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | (8698) ~ (all_4_98 = all_4_99)
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8652) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8699) all_4_100 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8699) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8700) pred(n2) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8699) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8701) succ(n2) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (8701) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8702) all_4_78 = n3
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (8700) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8703) all_4_76 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8702), (8703) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8704) sum(n1, n3) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8703) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8705) sum(n1, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8702) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8706) sum(n8, n3) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (8704) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8707) all_4_72 = n4
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n10, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (27), (8705) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8708) all_4_74 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n3, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (8706) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8709) all_4_77 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8708), (8709) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8710) sum(n0, n0) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8707) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8711) sum(n7, n4) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (8710) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8712) all_4_99 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n4, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | simplifying with (87), (8711) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8713) all_4_98 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8698), (8712), (8713) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8714) $false
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8714) is inconsistent.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | (8715) all_4_100 = n1 | all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8715) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8716) all_4_100 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8716) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8717) pred(n1) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8716) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8718) succ(n1) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (8718) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8719) all_4_78 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (8717) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8720) all_4_76 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8719), (8720) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8721) sum(n0, n2) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8720) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8722) sum(n0, n10) = all_4_74
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8719) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8723) sum(n8, n2) = all_4_77
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (8721) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8724) all_4_72 = n2
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n10, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (8722) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8725) all_4_74 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n2, n8,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (8723) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8726) all_4_77 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8725), (8726) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8727) sum(n10, n10) = all_4_99
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8724) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8728) sum(n7, n2) = all_4_98
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n2, n7,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (85), (8728) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8729) all_4_98 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (8727) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8730) all_4_99 = n9
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8698), (8729), (8730) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8731) $false
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8731) is inconsistent.
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8732) all_4_100 = n0
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (8732) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8733) pred(n0) = all_4_76
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (8732) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8734) succ(n0) = all_4_78
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (8734) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8735) all_4_78 = n1
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (8733) gives:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8736) all_4_76 = n10
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (8735), (8736) imply:
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | (8737) sum(n10, n1) = all_4_72
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7063), (8736) imply:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8738) sum(n10, n10) = all_4_74
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7065), (8735) imply:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8739) sum(n8, n1) = all_4_77
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n1, n8,
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (8739) gives:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8740) all_4_77 = n9
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8737) gives:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8741) all_4_72 = n0
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n10, n10,
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (8738) gives:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8742) all_4_74 = n9
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8740), (8742) imply:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8743) sum(n9, n9) = all_4_99
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7067), (8741) imply:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8744) sum(n7, n0) = all_4_98
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n0, n7,
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (83), (8744) gives:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8745) all_4_98 = n7
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (114), (8743) gives:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8746) all_4_99 = n7
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8698), (8745), (8746) imply:
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | (8747) $false
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8747) is inconsistent.
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | End of split
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | End of split
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | End of split
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | End of split
% 257.57/65.25 | | | | | |
% 257.57/65.25 | | | | | End of split
% 257.57/65.25 | | | | |
% 257.57/65.25 | | | | Case 2:
% 257.57/65.25 | | | | |
% 257.57/65.25 | | | | | (8748) all_4_101 = n8 | all_4_101 = n7 | all_4_101 = n6 | all_4_101
% 257.57/65.25 | | | | | = n5 | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.57/65.25 | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.57/65.25 | | | | |
% 257.57/65.25 | | | | | BETA: splitting (5257) gives:
% 257.57/65.25 | | | | |
% 257.57/65.25 | | | | | Case 1:
% 257.57/65.25 | | | | | |
% 257.57/65.25 | | | | | | (8749) ~ (all_4_82 = all_4_83)
% 257.57/65.25 | | | | | |
% 257.57/65.25 | | | | | | BETA: splitting (7057) gives:
% 257.57/65.25 | | | | | |
% 257.57/65.25 | | | | | | Case 1:
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | (8750) all_4_100 = n9
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | REDUCE: (230), (8750) imply:
% 257.57/65.25 | | | | | | | (8751) pred(n9) = all_4_76
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | REDUCE: (199), (8750) imply:
% 257.57/65.25 | | | | | | | (8752) succ(n9) = all_4_78
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 257.57/65.25 | | | | | | | with (196), (8752) gives:
% 257.57/65.25 | | | | | | | (8753) all_4_78 = n10
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 257.57/65.25 | | | | | | | with (227), (8751) gives:
% 257.57/65.25 | | | | | | | (8754) all_4_76 = n8
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | REDUCE: (131), (8754) imply:
% 257.57/65.25 | | | | | | | (8755) sum(n8, all_4_75) = all_4_74
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | REDUCE: (130), (8753), (8754) imply:
% 257.57/65.25 | | | | | | | (8756) sum(n8, n10) = all_4_72
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | REDUCE: (127), (8753) imply:
% 257.57/65.25 | | | | | | | (8757) sum(all_4_79, n10) = all_4_77
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_72, n10, n8,
% 257.57/65.25 | | | | | | | simplifying with (104), (8756) gives:
% 257.57/65.25 | | | | | | | (8758) all_4_72 = n7
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | REDUCE: (132), (8758) imply:
% 257.57/65.25 | | | | | | | (8759) sum(all_4_73, n7) = all_4_98
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | BETA: splitting (8748) gives:
% 257.57/65.25 | | | | | | |
% 257.57/65.25 | | | | | | | Case 1:
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | (8760) all_4_101 = n8
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (229), (8760) imply:
% 257.57/65.25 | | | | | | | | (8761) pred(n8) = all_4_79
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (198), (8760) imply:
% 257.57/65.25 | | | | | | | | (8762) succ(n8) = all_4_75
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8,
% 257.57/65.25 | | | | | | | | simplifying with (195), (8762) gives:
% 257.57/65.25 | | | | | | | | (8763) all_4_75 = n9
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8,
% 257.57/65.25 | | | | | | | | simplifying with (226), (8761) gives:
% 257.57/65.25 | | | | | | | | (8764) all_4_79 = n7
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (128), (8763), (8764) imply:
% 257.57/65.25 | | | | | | | | (8765) sum(n7, n9) = all_4_73
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (8757), (8764) imply:
% 257.57/65.25 | | | | | | | | (8766) sum(n7, n10) = all_4_77
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (8755), (8763) imply:
% 257.57/65.25 | | | | | | | | (8767) sum(n8, n9) = all_4_74
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 257.57/65.25 | | | | | | | | simplifying with (92), (8765) gives:
% 257.57/65.25 | | | | | | | | (8768) all_4_73 = n5
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n10, n7,
% 257.57/65.25 | | | | | | | | simplifying with (93), (8766) gives:
% 257.57/65.25 | | | | | | | | (8769) all_4_77 = n6
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n9, n8,
% 257.57/65.25 | | | | | | | | simplifying with (103), (8767) gives:
% 257.57/65.25 | | | | | | | | (8770) all_4_74 = n6
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (8759), (8768) imply:
% 257.57/65.25 | | | | | | | | (8771) sum(n5, n7) = all_4_98
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REDUCE: (129), (8769), (8770) imply:
% 257.57/65.25 | | | | | | | | (8772) sum(n6, n6) = all_4_99
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n7, n5,
% 257.57/65.25 | | | | | | | | simplifying with (68), (8771) gives:
% 257.57/65.25 | | | | | | | | (8773) all_4_98 = n1
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 257.57/65.25 | | | | | | | | simplifying with (78), (8772) gives:
% 257.57/65.25 | | | | | | | | (8774) all_4_99 = n1
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 257.57/65.25 | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.57/65.25 | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.25 | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.25 | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.25 | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.25 | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.25 | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.25 | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.57/65.25 | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.25 | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.25 | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.57/65.25 | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.25 | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.25 | | | | | | | | (245), (246), (8749), (8772), (8773), (8774) are
% 257.57/65.25 | | | | | | | | inconsistent by sub-proof #189.
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | Case 2:
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | (8775) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 257.57/65.25 | | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.57/65.25 | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | BETA: splitting (8775) gives:
% 257.57/65.25 | | | | | | | |
% 257.57/65.25 | | | | | | | | Case 1:
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | (8776) all_4_101 = n7
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (229), (8776) imply:
% 257.57/65.25 | | | | | | | | | (8777) pred(n7) = all_4_79
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (198), (8776) imply:
% 257.57/65.25 | | | | | | | | | (8778) succ(n7) = all_4_75
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 257.57/65.25 | | | | | | | | | simplifying with (194), (8778) gives:
% 257.57/65.25 | | | | | | | | | (8779) all_4_75 = n8
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 257.57/65.25 | | | | | | | | | simplifying with (225), (8777) gives:
% 257.57/65.25 | | | | | | | | | (8780) all_4_79 = n6
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (128), (8779), (8780) imply:
% 257.57/65.25 | | | | | | | | | (8781) sum(n6, n8) = all_4_73
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (8757), (8780) imply:
% 257.57/65.25 | | | | | | | | | (8782) sum(n6, n10) = all_4_77
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (8755), (8779) imply:
% 257.57/65.25 | | | | | | | | | (8783) sum(n8, n8) = all_4_74
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 257.57/65.25 | | | | | | | | | simplifying with (80), (8781) gives:
% 257.57/65.25 | | | | | | | | | (8784) all_4_73 = n3
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n10, n6,
% 257.57/65.25 | | | | | | | | | simplifying with (82), (8782) gives:
% 257.57/65.25 | | | | | | | | | (8785) all_4_77 = n5
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n8, n8,
% 257.57/65.25 | | | | | | | | | simplifying with (102), (8783) gives:
% 257.57/65.25 | | | | | | | | | (8786) all_4_74 = n5
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (8759), (8784) imply:
% 257.57/65.25 | | | | | | | | | (8787) sum(n3, n7) = all_4_98
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REDUCE: (129), (8785), (8786) imply:
% 257.57/65.25 | | | | | | | | | (8788) sum(n5, n5) = all_4_99
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n7, n3,
% 257.57/65.25 | | | | | | | | | simplifying with (46), (8787) gives:
% 257.57/65.25 | | | | | | | | | (8789) all_4_98 = n10
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 257.57/65.25 | | | | | | | | | simplifying with (66), (8788) gives:
% 257.57/65.25 | | | | | | | | | (8790) all_4_99 = n10
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 257.57/65.25 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.25 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.25 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.25 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.25 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.25 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.25 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.25 | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.25 | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.25 | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.25 | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.25 | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.25 | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.25 | | | | | | | | | (245), (246), (8749), (8788), (8789), (8790) are
% 257.57/65.25 | | | | | | | | | inconsistent by sub-proof #188.
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | Case 2:
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | (8791) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 257.57/65.25 | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.57/65.25 | | | | | | | | | all_4_101 = n0
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | BETA: splitting (8791) gives:
% 257.57/65.25 | | | | | | | | |
% 257.57/65.25 | | | | | | | | | Case 1:
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | (8792) all_4_101 = n6
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (229), (8792) imply:
% 257.57/65.25 | | | | | | | | | | (8793) pred(n6) = all_4_79
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (198), (8792) imply:
% 257.57/65.25 | | | | | | | | | | (8794) succ(n6) = all_4_75
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 257.57/65.25 | | | | | | | | | | simplifying with (193), (8794) gives:
% 257.57/65.25 | | | | | | | | | | (8795) all_4_75 = n7
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 257.57/65.25 | | | | | | | | | | simplifying with (224), (8793) gives:
% 257.57/65.25 | | | | | | | | | | (8796) all_4_79 = n5
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (128), (8795), (8796) imply:
% 257.57/65.25 | | | | | | | | | | (8797) sum(n5, n7) = all_4_73
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (8757), (8796) imply:
% 257.57/65.25 | | | | | | | | | | (8798) sum(n5, n10) = all_4_77
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (8755), (8795) imply:
% 257.57/65.25 | | | | | | | | | | (8799) sum(n8, n7) = all_4_74
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 257.57/65.25 | | | | | | | | | | simplifying with (68), (8797) gives:
% 257.57/65.25 | | | | | | | | | | (8800) all_4_73 = n1
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n10, n5,
% 257.57/65.25 | | | | | | | | | | simplifying with (71), (8798) gives:
% 257.57/65.25 | | | | | | | | | | (8801) all_4_77 = n4
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n7, n8,
% 257.57/65.25 | | | | | | | | | | simplifying with (101), (8799) gives:
% 257.57/65.25 | | | | | | | | | | (8802) all_4_74 = n4
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (8759), (8800) imply:
% 257.57/65.25 | | | | | | | | | | (8803) sum(n1, n7) = all_4_98
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REDUCE: (129), (8801), (8802) imply:
% 257.57/65.25 | | | | | | | | | | (8804) sum(n4, n4) = all_4_99
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n7, n1,
% 257.57/65.25 | | | | | | | | | | simplifying with (24), (8803) gives:
% 257.57/65.25 | | | | | | | | | | (8805) all_4_98 = n8
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.57/65.25 | | | | | | | | | | simplifying with (54), (8804) gives:
% 257.57/65.25 | | | | | | | | | | (8806) all_4_99 = n8
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.57/65.25 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.25 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.25 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.25 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.25 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.25 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.25 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.25 | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.25 | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.25 | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.25 | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.25 | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.25 | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.25 | | | | | | | | | | (245), (246), (8749), (8804), (8805), (8806) are
% 257.57/65.25 | | | | | | | | | | inconsistent by sub-proof #187.
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | Case 2:
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | (8807) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 257.57/65.25 | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | BETA: splitting (8807) gives:
% 257.57/65.25 | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | Case 1:
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | (8808) all_4_101 = n5
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (229), (8808) imply:
% 257.57/65.25 | | | | | | | | | | | (8809) pred(n5) = all_4_79
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (198), (8808) imply:
% 257.57/65.25 | | | | | | | | | | | (8810) succ(n5) = all_4_75
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 257.57/65.25 | | | | | | | | | | | simplifying with (192), (8810) gives:
% 257.57/65.25 | | | | | | | | | | | (8811) all_4_75 = n6
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 257.57/65.25 | | | | | | | | | | | simplifying with (223), (8809) gives:
% 257.57/65.25 | | | | | | | | | | | (8812) all_4_79 = n4
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (128), (8811), (8812) imply:
% 257.57/65.25 | | | | | | | | | | | (8813) sum(n4, n6) = all_4_73
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (8757), (8812) imply:
% 257.57/65.25 | | | | | | | | | | | (8814) sum(n4, n10) = all_4_77
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (8755), (8811) imply:
% 257.57/65.25 | | | | | | | | | | | (8815) sum(n8, n6) = all_4_74
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 257.57/65.25 | | | | | | | | | | | simplifying with (56), (8813) gives:
% 257.57/65.25 | | | | | | | | | | | (8816) all_4_73 = n10
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n10, n4,
% 257.57/65.25 | | | | | | | | | | | simplifying with (60), (8814) gives:
% 257.57/65.25 | | | | | | | | | | | (8817) all_4_77 = n3
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n6, n8,
% 257.57/65.25 | | | | | | | | | | | simplifying with (100), (8815) gives:
% 257.57/65.25 | | | | | | | | | | | (8818) all_4_74 = n3
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (8759), (8816) imply:
% 257.57/65.25 | | | | | | | | | | | (8819) sum(n10, n7) = all_4_98
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REDUCE: (129), (8817), (8818) imply:
% 257.57/65.25 | | | | | | | | | | | (8820) sum(n3, n3) = all_4_99
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.57/65.25 | | | | | | | | | | | simplifying with (42), (8820) gives:
% 257.57/65.25 | | | | | | | | | | | (8821) all_4_99 = n6
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n7, n10,
% 257.57/65.25 | | | | | | | | | | | simplifying with (123), (8819) gives:
% 257.57/65.25 | | | | | | | | | | | (8822) all_4_98 = n6
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.57/65.25 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.25 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.25 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.25 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.25 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.25 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.25 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.25 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.25 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.25 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.25 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.25 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.25 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.25 | | | | | | | | | | | (245), (246), (8749), (8820), (8821), (8822) are
% 257.57/65.25 | | | | | | | | | | | inconsistent by sub-proof #186.
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | Case 2:
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | (8823) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.57/65.25 | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | BETA: splitting (8823) gives:
% 257.57/65.25 | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | Case 1:
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | (8824) all_4_101 = n4
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (229), (8824) imply:
% 257.57/65.25 | | | | | | | | | | | | (8825) pred(n4) = all_4_79
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (198), (8824) imply:
% 257.57/65.25 | | | | | | | | | | | | (8826) succ(n4) = all_4_75
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (191), (8826) gives:
% 257.57/65.25 | | | | | | | | | | | | (8827) all_4_75 = n5
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (222), (8825) gives:
% 257.57/65.25 | | | | | | | | | | | | (8828) all_4_79 = n3
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (128), (8827), (8828) imply:
% 257.57/65.25 | | | | | | | | | | | | (8829) sum(n3, n5) = all_4_73
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (8757), (8828) imply:
% 257.57/65.25 | | | | | | | | | | | | (8830) sum(n3, n10) = all_4_77
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (8755), (8827) imply:
% 257.57/65.25 | | | | | | | | | | | | (8831) sum(n8, n5) = all_4_74
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (44), (8829) gives:
% 257.57/65.25 | | | | | | | | | | | | (8832) all_4_73 = n8
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (49), (8830) gives:
% 257.57/65.25 | | | | | | | | | | | | (8833) all_4_77 = n2
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (99), (8831) gives:
% 257.57/65.25 | | | | | | | | | | | | (8834) all_4_74 = n2
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (8759), (8832) imply:
% 257.57/65.25 | | | | | | | | | | | | (8835) sum(n8, n7) = all_4_98
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | REDUCE: (129), (8833), (8834) imply:
% 257.57/65.25 | | | | | | | | | | | | (8836) sum(n2, n2) = all_4_99
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (30), (8836) gives:
% 257.57/65.25 | | | | | | | | | | | | (8837) all_4_99 = n4
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.25 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 257.57/65.25 | | | | | | | | | | | | simplifying with (101), (8835) gives:
% 257.57/65.25 | | | | | | | | | | | | (8838) all_4_98 = n4
% 257.57/65.25 | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.57/65.26 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.57/65.26 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.26 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.26 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.26 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.26 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.26 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.26 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.57/65.26 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.26 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.26 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.57/65.26 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.26 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.26 | | | | | | | | | | | | (245), (246), (8749), (8836), (8837), (8838) are
% 257.57/65.26 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 257.57/65.26 | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | Case 2:
% 257.57/65.26 | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | (8839) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.57/65.26 | | | | | | | | | | | | all_4_101 = n0
% 257.57/65.26 | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | BETA: splitting (8839) gives:
% 257.57/65.26 | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | Case 1:
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | (8840) all_4_101 = n3
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (229), (8840) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8841) pred(n3) = all_4_79
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (198), (8840) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8842) succ(n3) = all_4_75
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (190), (8842) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8843) all_4_75 = n4
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (221), (8841) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8844) all_4_79 = n2
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (128), (8843), (8844) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8845) sum(n2, n4) = all_4_73
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (8757), (8844) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8846) sum(n2, n10) = all_4_77
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (8755), (8843) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8847) sum(n8, n4) = all_4_74
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (32), (8845) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8848) all_4_73 = n6
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (38), (8846) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8849) all_4_77 = n1
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (98), (8847) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8850) all_4_74 = n1
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (8759), (8848) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8851) sum(n6, n7) = all_4_98
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REDUCE: (129), (8849), (8850) imply:
% 257.57/65.26 | | | | | | | | | | | | | (8852) sum(n1, n1) = all_4_99
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (18), (8852) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8853) all_4_99 = n2
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 257.57/65.26 | | | | | | | | | | | | | simplifying with (79), (8851) gives:
% 257.57/65.26 | | | | | | | | | | | | | (8854) all_4_98 = n2
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.57/65.26 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.26 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.26 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.26 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.26 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.26 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.26 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.26 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.26 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.26 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.26 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.26 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.26 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.26 | | | | | | | | | | | | | (245), (246), (8749), (8852), (8853), (8854) are
% 257.57/65.26 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | Case 2:
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | (8855) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | BETA: splitting (8855) gives:
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | Case 1:
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | (8856) all_4_101 = n2
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (229), (8856) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8857) pred(n2) = all_4_79
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (198), (8856) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8858) succ(n2) = all_4_75
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (189), (8858) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8859) all_4_75 = n3
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (220), (8857) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8860) all_4_79 = n1
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (128), (8859), (8860) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8861) sum(n1, n3) = all_4_73
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (8757), (8860) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8862) sum(n1, n10) = all_4_77
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (8755), (8859) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8863) sum(n8, n3) = all_4_74
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (20), (8861) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8864) all_4_73 = n4
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (27), (8862) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8865) all_4_77 = n0
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (97), (8863) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8866) all_4_74 = n0
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (8759), (8864) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8867) sum(n4, n7) = all_4_98
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REDUCE: (129), (8865), (8866) imply:
% 257.57/65.26 | | | | | | | | | | | | | | (8868) sum(n0, n0) = all_4_99
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (6), (8868) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8869) all_4_99 = n0
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 257.57/65.26 | | | | | | | | | | | | | | simplifying with (57), (8867) gives:
% 257.57/65.26 | | | | | | | | | | | | | | (8870) all_4_98 = n0
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.57/65.26 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.26 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.26 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.26 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.26 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.26 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.26 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.57/65.26 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.57/65.26 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.57/65.26 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.57/65.26 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.57/65.26 | | | | | | | | | | | | | | (246), (8749), (8868), (8869), (8870) are
% 257.57/65.26 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | Case 2:
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | (8871) all_4_101 = n1 | all_4_101 = n0
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | BETA: splitting (8871) gives:
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | Case 1:
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | (8872) all_4_101 = n1
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (229), (8872) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8873) pred(n1) = all_4_79
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (198), (8872) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8874) succ(n1) = all_4_75
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (188), (8874) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8875) all_4_75 = n2
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (219), (8873) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8876) all_4_79 = n0
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (128), (8875), (8876) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8877) sum(n0, n2) = all_4_73
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (8757), (8876) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8878) sum(n0, n10) = all_4_77
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (8755), (8875) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8879) sum(n8, n2) = all_4_74
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (8), (8877) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8880) all_4_73 = n2
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (16), (8878) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8881) all_4_77 = n10
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (96), (8879) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8882) all_4_74 = n10
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (8759), (8880) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8883) sum(n2, n7) = all_4_98
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (129), (8881), (8882) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8884) sum(n10, n10) = all_4_99
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (35), (8883) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8885) all_4_98 = n9
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (126), (8884) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8886) all_4_99 = n9
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.57/65.26 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.57/65.26 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.26 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.26 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.26 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.26 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.26 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.26 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.57/65.26 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.26 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.26 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.57/65.26 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.26 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.26 | | | | | | | | | | | | | | | (245), (246), (8749), (8884), (8885), (8886) are
% 257.57/65.26 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | Case 2:
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | (8887) all_4_101 = n0
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (229), (8887) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8888) pred(n0) = all_4_79
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (198), (8887) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8889) succ(n0) = all_4_75
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (187), (8889) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8890) all_4_75 = n1
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (218), (8888) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8891) all_4_79 = n10
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (128), (8890), (8891) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8892) sum(n10, n1) = all_4_73
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (8757), (8891) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8893) sum(n10, n10) = all_4_77
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (8755), (8890) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8894) sum(n8, n1) = all_4_74
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (95), (8894) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8895) all_4_74 = n9
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (117), (8892) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8896) all_4_73 = n0
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (126), (8893) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8897) all_4_77 = n9
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (8759), (8896) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8898) sum(n0, n7) = all_4_98
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REDUCE: (129), (8895), (8897) imply:
% 257.57/65.26 | | | | | | | | | | | | | | | (8899) sum(n9, n9) = all_4_99
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (13), (8898) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8900) all_4_98 = n7
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.57/65.26 | | | | | | | | | | | | | | | simplifying with (114), (8899) gives:
% 257.57/65.26 | | | | | | | | | | | | | | | (8901) all_4_99 = n7
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.57/65.26 | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.57/65.26 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.26 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.26 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.26 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.26 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.26 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.26 | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.26 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.26 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.26 | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.26 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.26 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.26 | | | | | | | | | | | | | | | (245), (246), (8749), (8899), (8900), (8901) are
% 257.57/65.26 | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.57/65.26 | | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | | End of split
% 257.57/65.26 | | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | | End of split
% 257.57/65.26 | | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | | End of split
% 257.57/65.26 | | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | | End of split
% 257.57/65.26 | | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | | End of split
% 257.57/65.26 | | | | | | | | | |
% 257.57/65.26 | | | | | | | | | End of split
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | End of split
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | End of split
% 257.57/65.26 | | | | | | |
% 257.57/65.26 | | | | | | Case 2:
% 257.57/65.26 | | | | | | |
% 257.57/65.26 | | | | | | | (8902) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 257.57/65.26 | | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.57/65.26 | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.26 | | | | | | |
% 257.57/65.26 | | | | | | | BETA: splitting (8748) gives:
% 257.57/65.26 | | | | | | |
% 257.57/65.26 | | | | | | | Case 1:
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | (8903) all_4_101 = n8
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | REDUCE: (229), (8903) imply:
% 257.57/65.26 | | | | | | | | (8904) pred(n8) = all_4_79
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | REDUCE: (198), (8903) imply:
% 257.57/65.26 | | | | | | | | (8905) succ(n8) = all_4_75
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8,
% 257.57/65.26 | | | | | | | | simplifying with (195), (8905) gives:
% 257.57/65.26 | | | | | | | | (8906) all_4_75 = n9
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8,
% 257.57/65.26 | | | | | | | | simplifying with (226), (8904) gives:
% 257.57/65.26 | | | | | | | | (8907) all_4_79 = n7
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | REDUCE: (131), (8906) imply:
% 257.57/65.26 | | | | | | | | (8908) sum(all_4_76, n9) = all_4_74
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | REDUCE: (128), (8906), (8907) imply:
% 257.57/65.26 | | | | | | | | (8909) sum(n7, n9) = all_4_73
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | REDUCE: (127), (8907) imply:
% 257.57/65.26 | | | | | | | | (8910) sum(n7, all_4_78) = all_4_77
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 257.57/65.26 | | | | | | | | simplifying with (92), (8909) gives:
% 257.57/65.26 | | | | | | | | (8911) all_4_73 = n5
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | REDUCE: (132), (8911) imply:
% 257.57/65.26 | | | | | | | | (8912) sum(n5, all_4_72) = all_4_98
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | BETA: splitting (8902) gives:
% 257.57/65.26 | | | | | | | |
% 257.57/65.26 | | | | | | | | Case 1:
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | (8913) all_4_100 = n8
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (230), (8913) imply:
% 257.57/65.26 | | | | | | | | | (8914) pred(n8) = all_4_76
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (199), (8913) imply:
% 257.57/65.26 | | | | | | | | | (8915) succ(n8) = all_4_78
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 257.57/65.26 | | | | | | | | | simplifying with (195), (8915) gives:
% 257.57/65.26 | | | | | | | | | (8916) all_4_78 = n9
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 257.57/65.26 | | | | | | | | | simplifying with (226), (8914) gives:
% 257.57/65.26 | | | | | | | | | (8917) all_4_76 = n7
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (130), (8916), (8917) imply:
% 257.57/65.26 | | | | | | | | | (8918) sum(n7, n9) = all_4_72
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (8908), (8917) imply:
% 257.57/65.26 | | | | | | | | | (8919) sum(n7, n9) = all_4_74
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (8910), (8916) imply:
% 257.57/65.26 | | | | | | | | | (8920) sum(n7, n9) = all_4_77
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n9, n7,
% 257.57/65.26 | | | | | | | | | simplifying with (92), (8919) gives:
% 257.57/65.26 | | | | | | | | | (8921) all_4_74 = n5
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n9, n7,
% 257.57/65.26 | | | | | | | | | simplifying with (8918), (8919) gives:
% 257.57/65.26 | | | | | | | | | (8922) all_4_72 = all_4_74
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n9, n7,
% 257.57/65.26 | | | | | | | | | simplifying with (8918), (8920) gives:
% 257.57/65.26 | | | | | | | | | (8923) all_4_72 = all_4_77
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | COMBINE_EQS: (8922), (8923) imply:
% 257.57/65.26 | | | | | | | | | (8924) all_4_74 = all_4_77
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | SIMP: (8924) implies:
% 257.57/65.26 | | | | | | | | | (8925) all_4_74 = all_4_77
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | COMBINE_EQS: (8921), (8925) imply:
% 257.57/65.26 | | | | | | | | | (8926) all_4_77 = n5
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | COMBINE_EQS: (8923), (8926) imply:
% 257.57/65.26 | | | | | | | | | (8927) all_4_72 = n5
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (129), (8921), (8926) imply:
% 257.57/65.26 | | | | | | | | | (8928) sum(n5, n5) = all_4_99
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | REDUCE: (8912), (8927) imply:
% 257.57/65.26 | | | | | | | | | (8929) sum(n5, n5) = all_4_98
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n5, n5,
% 257.57/65.26 | | | | | | | | | simplifying with (66), (8929) gives:
% 257.57/65.26 | | | | | | | | | (8930) all_4_98 = n10
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n5, n5,
% 257.57/65.26 | | | | | | | | | simplifying with (8928), (8929) gives:
% 257.57/65.26 | | | | | | | | | (8931) all_4_98 = all_4_99
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | COMBINE_EQS: (8930), (8931) imply:
% 257.57/65.26 | | | | | | | | | (8932) all_4_99 = n10
% 257.57/65.26 | | | | | | | | |
% 257.57/65.26 | | | | | | | | | SIMP: (8932) implies:
% 257.57/65.26 | | | | | | | | | (8933) all_4_99 = n10
% 257.57/65.27 | | | | | | | | |
% 257.57/65.27 | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 257.57/65.27 | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.27 | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.27 | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.27 | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.27 | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.27 | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.27 | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.27 | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.27 | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.27 | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.27 | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.27 | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.27 | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.27 | | | | | | | | | (245), (246), (8749), (8928), (8930), (8933) are
% 257.57/65.27 | | | | | | | | | inconsistent by sub-proof #188.
% 257.57/65.27 | | | | | | | | |
% 257.57/65.27 | | | | | | | | Case 2:
% 257.57/65.27 | | | | | | | | |
% 257.57/65.27 | | | | | | | | | (8934) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 257.57/65.27 | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.57/65.27 | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.27 | | | | | | | | |
% 257.57/65.27 | | | | | | | | | BETA: splitting (8934) gives:
% 257.57/65.27 | | | | | | | | |
% 257.57/65.27 | | | | | | | | | Case 1:
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | (8935) all_4_100 = n7
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (230), (8935) imply:
% 257.57/65.27 | | | | | | | | | | (8936) pred(n7) = all_4_76
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (199), (8935) imply:
% 257.57/65.27 | | | | | | | | | | (8937) succ(n7) = all_4_78
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.57/65.27 | | | | | | | | | | simplifying with (194), (8937) gives:
% 257.57/65.27 | | | | | | | | | | (8938) all_4_78 = n8
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.57/65.27 | | | | | | | | | | simplifying with (225), (8936) gives:
% 257.57/65.27 | | | | | | | | | | (8939) all_4_76 = n6
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (130), (8938), (8939) imply:
% 257.57/65.27 | | | | | | | | | | (8940) sum(n6, n8) = all_4_72
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (8908), (8939) imply:
% 257.57/65.27 | | | | | | | | | | (8941) sum(n6, n9) = all_4_74
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (8910), (8938) imply:
% 257.57/65.27 | | | | | | | | | | (8942) sum(n7, n8) = all_4_77
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 257.57/65.27 | | | | | | | | | | simplifying with (80), (8940) gives:
% 257.57/65.27 | | | | | | | | | | (8943) all_4_72 = n3
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n9, n6,
% 257.57/65.27 | | | | | | | | | | simplifying with (81), (8941) gives:
% 257.57/65.27 | | | | | | | | | | (8944) all_4_74 = n4
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n8, n7,
% 257.57/65.27 | | | | | | | | | | simplifying with (91), (8942) gives:
% 257.57/65.27 | | | | | | | | | | (8945) all_4_77 = n4
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (129), (8944), (8945) imply:
% 257.57/65.27 | | | | | | | | | | (8946) sum(n4, n4) = all_4_99
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REDUCE: (8912), (8943) imply:
% 257.57/65.27 | | | | | | | | | | (8947) sum(n5, n3) = all_4_98
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.57/65.27 | | | | | | | | | | simplifying with (54), (8946) gives:
% 257.57/65.27 | | | | | | | | | | (8948) all_4_99 = n8
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n3, n5,
% 257.57/65.27 | | | | | | | | | | simplifying with (64), (8947) gives:
% 257.57/65.27 | | | | | | | | | | (8949) all_4_98 = n8
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.57/65.27 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.27 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.27 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.27 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.27 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.27 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.27 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.27 | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.27 | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.27 | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.27 | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.27 | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.27 | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.27 | | | | | | | | | | (245), (246), (8749), (8946), (8948), (8949) are
% 257.57/65.27 | | | | | | | | | | inconsistent by sub-proof #187.
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | Case 2:
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | (8950) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.57/65.27 | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.57/65.27 | | | | | | | | | | all_4_100 = n0
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | BETA: splitting (8950) gives:
% 257.57/65.27 | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | Case 1:
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | (8951) all_4_100 = n6
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (230), (8951) imply:
% 257.57/65.27 | | | | | | | | | | | (8952) pred(n6) = all_4_76
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (199), (8951) imply:
% 257.57/65.27 | | | | | | | | | | | (8953) succ(n6) = all_4_78
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.57/65.27 | | | | | | | | | | | simplifying with (193), (8953) gives:
% 257.57/65.27 | | | | | | | | | | | (8954) all_4_78 = n7
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.57/65.27 | | | | | | | | | | | simplifying with (224), (8952) gives:
% 257.57/65.27 | | | | | | | | | | | (8955) all_4_76 = n5
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (130), (8954), (8955) imply:
% 257.57/65.27 | | | | | | | | | | | (8956) sum(n5, n7) = all_4_72
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (8908), (8955) imply:
% 257.57/65.27 | | | | | | | | | | | (8957) sum(n5, n9) = all_4_74
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (8910), (8954) imply:
% 257.57/65.27 | | | | | | | | | | | (8958) sum(n7, n7) = all_4_77
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.57/65.27 | | | | | | | | | | | simplifying with (68), (8956) gives:
% 257.57/65.27 | | | | | | | | | | | (8959) all_4_72 = n1
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n9, n5,
% 257.57/65.27 | | | | | | | | | | | simplifying with (70), (8957) gives:
% 257.57/65.27 | | | | | | | | | | | (8960) all_4_74 = n3
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n7, n7,
% 257.57/65.27 | | | | | | | | | | | simplifying with (90), (8958) gives:
% 257.57/65.27 | | | | | | | | | | | (8961) all_4_77 = n3
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (129), (8960), (8961) imply:
% 257.57/65.27 | | | | | | | | | | | (8962) sum(n3, n3) = all_4_99
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REDUCE: (8912), (8959) imply:
% 257.57/65.27 | | | | | | | | | | | (8963) sum(n5, n1) = all_4_98
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.57/65.27 | | | | | | | | | | | simplifying with (42), (8962) gives:
% 257.57/65.27 | | | | | | | | | | | (8964) all_4_99 = n6
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n1, n5,
% 257.57/65.27 | | | | | | | | | | | simplifying with (62), (8963) gives:
% 257.57/65.27 | | | | | | | | | | | (8965) all_4_98 = n6
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.57/65.27 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.27 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.27 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.27 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.27 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.27 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.27 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.27 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.27 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.27 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.27 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.27 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.27 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.27 | | | | | | | | | | | (245), (246), (8749), (8962), (8964), (8965) are
% 257.57/65.27 | | | | | | | | | | | inconsistent by sub-proof #186.
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | Case 2:
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | (8966) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.57/65.27 | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | BETA: splitting (8966) gives:
% 257.57/65.27 | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | Case 1:
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | (8967) all_4_100 = n5
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (230), (8967) imply:
% 257.57/65.27 | | | | | | | | | | | | (8968) pred(n5) = all_4_76
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (199), (8967) imply:
% 257.57/65.27 | | | | | | | | | | | | (8969) succ(n5) = all_4_78
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (192), (8969) gives:
% 257.57/65.27 | | | | | | | | | | | | (8970) all_4_78 = n6
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (223), (8968) gives:
% 257.57/65.27 | | | | | | | | | | | | (8971) all_4_76 = n4
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (130), (8970), (8971) imply:
% 257.57/65.27 | | | | | | | | | | | | (8972) sum(n4, n6) = all_4_72
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (8908), (8971) imply:
% 257.57/65.27 | | | | | | | | | | | | (8973) sum(n4, n9) = all_4_74
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (8910), (8970) imply:
% 257.57/65.27 | | | | | | | | | | | | (8974) sum(n7, n6) = all_4_77
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (56), (8972) gives:
% 257.57/65.27 | | | | | | | | | | | | (8975) all_4_72 = n10
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (59), (8973) gives:
% 257.57/65.27 | | | | | | | | | | | | (8976) all_4_74 = n2
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (89), (8974) gives:
% 257.57/65.27 | | | | | | | | | | | | (8977) all_4_77 = n2
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (129), (8976), (8977) imply:
% 257.57/65.27 | | | | | | | | | | | | (8978) sum(n2, n2) = all_4_99
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REDUCE: (8912), (8975) imply:
% 257.57/65.27 | | | | | | | | | | | | (8979) sum(n5, n10) = all_4_98
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (30), (8978) gives:
% 257.57/65.27 | | | | | | | | | | | | (8980) all_4_99 = n4
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 257.57/65.27 | | | | | | | | | | | | simplifying with (71), (8979) gives:
% 257.57/65.27 | | | | | | | | | | | | (8981) all_4_98 = n4
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.57/65.27 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.57/65.27 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.27 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.27 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.27 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.27 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.27 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.27 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.57/65.27 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.27 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.27 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.57/65.27 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.27 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.27 | | | | | | | | | | | | (245), (246), (8749), (8978), (8980), (8981) are
% 257.57/65.27 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | Case 2:
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | (8982) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.57/65.27 | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | BETA: splitting (8982) gives:
% 257.57/65.27 | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | Case 1:
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | (8983) all_4_100 = n4
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (230), (8983) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8984) pred(n4) = all_4_76
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (199), (8983) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8985) succ(n4) = all_4_78
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (191), (8985) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8986) all_4_78 = n5
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (222), (8984) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8987) all_4_76 = n3
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (130), (8986), (8987) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8988) sum(n3, n5) = all_4_72
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (8908), (8987) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8989) sum(n3, n9) = all_4_74
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (8910), (8986) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8990) sum(n7, n5) = all_4_77
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (44), (8988) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8991) all_4_72 = n8
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (48), (8989) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8992) all_4_74 = n1
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (88), (8990) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8993) all_4_77 = n1
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (129), (8992), (8993) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8994) sum(n1, n1) = all_4_99
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REDUCE: (8912), (8991) imply:
% 257.57/65.27 | | | | | | | | | | | | | (8995) sum(n5, n8) = all_4_98
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (18), (8994) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8996) all_4_99 = n2
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 257.57/65.27 | | | | | | | | | | | | | simplifying with (69), (8995) gives:
% 257.57/65.27 | | | | | | | | | | | | | (8997) all_4_98 = n2
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.57/65.27 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.57/65.27 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.57/65.27 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.57/65.27 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.57/65.27 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.57/65.27 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.57/65.27 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.57/65.27 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.57/65.27 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.57/65.27 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.57/65.27 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.57/65.27 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.57/65.27 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.57/65.27 | | | | | | | | | | | | | (245), (246), (8749), (8994), (8996), (8997) are
% 257.57/65.27 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | Case 2:
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | (8998) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.57/65.27 | | | | | | | | | | | | | all_4_100 = n0
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | BETA: splitting (8998) gives:
% 257.57/65.27 | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | Case 1:
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | (8999) all_4_100 = n3
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (230), (8999) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9000) pred(n3) = all_4_76
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (199), (8999) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9001) succ(n3) = all_4_78
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (190), (9001) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9002) all_4_78 = n4
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (221), (9000) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9003) all_4_76 = n2
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (130), (9002), (9003) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9004) sum(n2, n4) = all_4_72
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (8908), (9003) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9005) sum(n2, n9) = all_4_74
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (8910), (9002) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9006) sum(n7, n4) = all_4_77
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (32), (9004) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9007) all_4_72 = n6
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (37), (9005) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9008) all_4_74 = n0
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (87), (9006) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9009) all_4_77 = n0
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (129), (9008), (9009) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9010) sum(n0, n0) = all_4_99
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | REDUCE: (8912), (9007) imply:
% 257.57/65.27 | | | | | | | | | | | | | | (9011) sum(n5, n6) = all_4_98
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (6), (9010) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9012) all_4_99 = n0
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.57/65.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 257.57/65.27 | | | | | | | | | | | | | | simplifying with (67), (9011) gives:
% 257.57/65.27 | | | | | | | | | | | | | | (9013) all_4_98 = n0
% 257.57/65.27 | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.77/65.27 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.27 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.27 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.27 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.27 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.27 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.27 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.77/65.27 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.77/65.27 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.77/65.27 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.77/65.27 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.77/65.27 | | | | | | | | | | | | | | (246), (8749), (9010), (9012), (9013) are
% 257.77/65.27 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.77/65.27 | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | Case 2:
% 257.77/65.27 | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | | (9014) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.27 | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | | BETA: splitting (9014) gives:
% 257.77/65.27 | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | | Case 1:
% 257.77/65.27 | | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | | | (9015) all_4_100 = n2
% 257.77/65.27 | | | | | | | | | | | | | | |
% 257.77/65.27 | | | | | | | | | | | | | | | REDUCE: (230), (9015) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9016) pred(n2) = all_4_76
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REDUCE: (199), (9015) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9017) succ(n2) = all_4_78
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (189), (9017) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9018) all_4_78 = n3
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (220), (9016) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9019) all_4_76 = n1
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REDUCE: (130), (9018), (9019) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9020) sum(n1, n3) = all_4_72
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REDUCE: (8908), (9019) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9021) sum(n1, n9) = all_4_74
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REDUCE: (8910), (9018) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9022) sum(n7, n3) = all_4_77
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (20), (9020) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9023) all_4_72 = n4
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (26), (9021) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9024) all_4_74 = n10
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (86), (9022) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9025) all_4_77 = n10
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REDUCE: (129), (9024), (9025) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9026) sum(n10, n10) = all_4_99
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REDUCE: (8912), (9023) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | (9027) sum(n5, n4) = all_4_98
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (65), (9027) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9028) all_4_98 = n9
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.77/65.28 | | | | | | | | | | | | | | | simplifying with (126), (9026) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | (9029) all_4_99 = n9
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.28 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.28 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.28 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.28 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.28 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.28 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.28 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.28 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.28 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.28 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.28 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.28 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.28 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.28 | | | | | | | | | | | | | | | (245), (246), (8749), (9026), (9028), (9029) are
% 257.77/65.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | Case 2:
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | (9030) all_4_100 = n1 | all_4_100 = n0
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | BETA: splitting (9030) gives:
% 257.77/65.28 | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | (9031) all_4_100 = n1
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (230), (9031) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9032) pred(n1) = all_4_76
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (199), (9031) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9033) succ(n1) = all_4_78
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (188), (9033) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9034) all_4_78 = n2
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (219), (9032) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9035) all_4_76 = n0
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (130), (9034), (9035) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9036) sum(n0, n2) = all_4_72
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (8908), (9035) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9037) sum(n0, n9) = all_4_74
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (8910), (9034) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9038) sum(n7, n2) = all_4_77
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (8), (9036) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9039) all_4_72 = n2
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n9, n0,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (15), (9037) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9040) all_4_74 = n9
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n2, n7,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (85), (9038) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9041) all_4_77 = n9
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (129), (9040), (9041) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9042) sum(n9, n9) = all_4_99
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (8912), (9039) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9043) sum(n5, n2) = all_4_98
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n2, n5,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (63), (9043) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9044) all_4_98 = n7
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (114), (9042) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9045) all_4_99 = n7
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.28 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.28 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.28 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.28 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.28 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.28 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.28 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.28 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.28 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.28 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.28 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.28 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.28 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.28 | | | | | | | | | | | | | | | | (245), (246), (8749), (9042), (9044), (9045) are
% 257.77/65.28 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | (9046) all_4_100 = n0
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (230), (9046) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9047) pred(n0) = all_4_76
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (199), (9046) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9048) succ(n0) = all_4_78
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (187), (9048) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9049) all_4_78 = n1
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (218), (9047) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9050) all_4_76 = n10
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (130), (9049), (9050) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9051) sum(n10, n1) = all_4_72
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (8908), (9050) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9052) sum(n10, n9) = all_4_74
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (8910), (9049) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9053) sum(n7, n1) = all_4_77
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n1, n7,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (84), (9053) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9054) all_4_77 = n8
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (117), (9051) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9055) all_4_72 = n0
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n9, n10,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (125), (9052) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9056) all_4_74 = n8
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (129), (9054), (9056) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9057) sum(n8, n8) = all_4_99
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | REDUCE: (8912), (9055) imply:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9058) sum(n5, n0) = all_4_98
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n0, n5,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (61), (9058) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9059) all_4_98 = n5
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.28 | | | | | | | | | | | | | | | | simplifying with (102), (9057) gives:
% 257.77/65.28 | | | | | | | | | | | | | | | | (9060) all_4_99 = n5
% 257.77/65.28 | | | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.29 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.29 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.29 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.29 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.29 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.29 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.29 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.29 | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.29 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.29 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.29 | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.29 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.29 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.29 | | | | | | | | | | | | | | | | (245), (246), (8749), (9057), (9059), (9060) are
% 257.77/65.29 | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.29 | | | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | End of split
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | End of split
% 257.77/65.29 | | | | | | | |
% 257.77/65.29 | | | | | | | Case 2:
% 257.77/65.29 | | | | | | | |
% 257.77/65.29 | | | | | | | | (9061) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 257.77/65.29 | | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.77/65.29 | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.29 | | | | | | | |
% 257.77/65.29 | | | | | | | | BETA: splitting (8902) gives:
% 257.77/65.29 | | | | | | | |
% 257.77/65.29 | | | | | | | | Case 1:
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | (9062) all_4_100 = n8
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | REDUCE: (230), (9062) imply:
% 257.77/65.29 | | | | | | | | | (9063) pred(n8) = all_4_76
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | REDUCE: (199), (9062) imply:
% 257.77/65.29 | | | | | | | | | (9064) succ(n8) = all_4_78
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 257.77/65.29 | | | | | | | | | simplifying with (195), (9064) gives:
% 257.77/65.29 | | | | | | | | | (9065) all_4_78 = n9
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 257.77/65.29 | | | | | | | | | simplifying with (226), (9063) gives:
% 257.77/65.29 | | | | | | | | | (9066) all_4_76 = n7
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | REDUCE: (131), (9066) imply:
% 257.77/65.29 | | | | | | | | | (9067) sum(n7, all_4_75) = all_4_74
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | REDUCE: (130), (9065), (9066) imply:
% 257.77/65.29 | | | | | | | | | (9068) sum(n7, n9) = all_4_72
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | REDUCE: (127), (9065) imply:
% 257.77/65.29 | | | | | | | | | (9069) sum(all_4_79, n9) = all_4_77
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 257.77/65.29 | | | | | | | | | simplifying with (92), (9068) gives:
% 257.77/65.29 | | | | | | | | | (9070) all_4_72 = n5
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | REDUCE: (132), (9070) imply:
% 257.77/65.29 | | | | | | | | | (9071) sum(all_4_73, n5) = all_4_98
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | BETA: splitting (9061) gives:
% 257.77/65.29 | | | | | | | | |
% 257.77/65.29 | | | | | | | | | Case 1:
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | (9072) all_4_101 = n7
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (229), (9072) imply:
% 257.77/65.29 | | | | | | | | | | (9073) pred(n7) = all_4_79
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (198), (9072) imply:
% 257.77/65.29 | | | | | | | | | | (9074) succ(n7) = all_4_75
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 257.77/65.29 | | | | | | | | | | simplifying with (194), (9074) gives:
% 257.77/65.29 | | | | | | | | | | (9075) all_4_75 = n8
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 257.77/65.29 | | | | | | | | | | simplifying with (225), (9073) gives:
% 257.77/65.29 | | | | | | | | | | (9076) all_4_79 = n6
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (128), (9075), (9076) imply:
% 257.77/65.29 | | | | | | | | | | (9077) sum(n6, n8) = all_4_73
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (9069), (9076) imply:
% 257.77/65.29 | | | | | | | | | | (9078) sum(n6, n9) = all_4_77
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (9067), (9075) imply:
% 257.77/65.29 | | | | | | | | | | (9079) sum(n7, n8) = all_4_74
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 257.77/65.29 | | | | | | | | | | simplifying with (80), (9077) gives:
% 257.77/65.29 | | | | | | | | | | (9080) all_4_73 = n3
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n9, n6,
% 257.77/65.29 | | | | | | | | | | simplifying with (81), (9078) gives:
% 257.77/65.29 | | | | | | | | | | (9081) all_4_77 = n4
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n8, n7,
% 257.77/65.29 | | | | | | | | | | simplifying with (91), (9079) gives:
% 257.77/65.29 | | | | | | | | | | (9082) all_4_74 = n4
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (9071), (9080) imply:
% 257.77/65.29 | | | | | | | | | | (9083) sum(n3, n5) = all_4_98
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REDUCE: (129), (9081), (9082) imply:
% 257.77/65.29 | | | | | | | | | | (9084) sum(n4, n4) = all_4_99
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n5, n3,
% 257.77/65.29 | | | | | | | | | | simplifying with (44), (9083) gives:
% 257.77/65.29 | | | | | | | | | | (9085) all_4_98 = n8
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 257.77/65.29 | | | | | | | | | | simplifying with (54), (9084) gives:
% 257.77/65.29 | | | | | | | | | | (9086) all_4_99 = n8
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 257.77/65.29 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.29 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.29 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.29 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.29 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.29 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.29 | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.29 | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.29 | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.29 | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.29 | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.29 | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.29 | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.29 | | | | | | | | | | (245), (246), (8749), (9084), (9085), (9086) are
% 257.77/65.29 | | | | | | | | | | inconsistent by sub-proof #187.
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | Case 2:
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | (9087) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 257.77/65.29 | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.77/65.29 | | | | | | | | | | all_4_101 = n0
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | BETA: splitting (9087) gives:
% 257.77/65.29 | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | Case 1:
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | (9088) all_4_101 = n6
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (229), (9088) imply:
% 257.77/65.29 | | | | | | | | | | | (9089) pred(n6) = all_4_79
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (198), (9088) imply:
% 257.77/65.29 | | | | | | | | | | | (9090) succ(n6) = all_4_75
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 257.77/65.29 | | | | | | | | | | | simplifying with (193), (9090) gives:
% 257.77/65.29 | | | | | | | | | | | (9091) all_4_75 = n7
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 257.77/65.29 | | | | | | | | | | | simplifying with (224), (9089) gives:
% 257.77/65.29 | | | | | | | | | | | (9092) all_4_79 = n5
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (128), (9091), (9092) imply:
% 257.77/65.29 | | | | | | | | | | | (9093) sum(n5, n7) = all_4_73
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (9069), (9092) imply:
% 257.77/65.29 | | | | | | | | | | | (9094) sum(n5, n9) = all_4_77
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (9067), (9091) imply:
% 257.77/65.29 | | | | | | | | | | | (9095) sum(n7, n7) = all_4_74
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 257.77/65.29 | | | | | | | | | | | simplifying with (68), (9093) gives:
% 257.77/65.29 | | | | | | | | | | | (9096) all_4_73 = n1
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n9, n5,
% 257.77/65.29 | | | | | | | | | | | simplifying with (70), (9094) gives:
% 257.77/65.29 | | | | | | | | | | | (9097) all_4_77 = n3
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n7, n7,
% 257.77/65.29 | | | | | | | | | | | simplifying with (90), (9095) gives:
% 257.77/65.29 | | | | | | | | | | | (9098) all_4_74 = n3
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (9071), (9096) imply:
% 257.77/65.29 | | | | | | | | | | | (9099) sum(n1, n5) = all_4_98
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REDUCE: (129), (9097), (9098) imply:
% 257.77/65.29 | | | | | | | | | | | (9100) sum(n3, n3) = all_4_99
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n5, n1,
% 257.77/65.29 | | | | | | | | | | | simplifying with (22), (9099) gives:
% 257.77/65.29 | | | | | | | | | | | (9101) all_4_98 = n6
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 257.77/65.29 | | | | | | | | | | | simplifying with (42), (9100) gives:
% 257.77/65.29 | | | | | | | | | | | (9102) all_4_99 = n6
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.77/65.29 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.29 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.29 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.29 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.29 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.29 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.29 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.29 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.29 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.29 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.29 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.29 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.29 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.29 | | | | | | | | | | | (245), (246), (8749), (9100), (9101), (9102) are
% 257.77/65.29 | | | | | | | | | | | inconsistent by sub-proof #186.
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | Case 2:
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | (9103) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 257.77/65.29 | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | BETA: splitting (9103) gives:
% 257.77/65.29 | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | Case 1:
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | (9104) all_4_101 = n5
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (229), (9104) imply:
% 257.77/65.29 | | | | | | | | | | | | (9105) pred(n5) = all_4_79
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (198), (9104) imply:
% 257.77/65.29 | | | | | | | | | | | | (9106) succ(n5) = all_4_75
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (192), (9106) gives:
% 257.77/65.29 | | | | | | | | | | | | (9107) all_4_75 = n6
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (223), (9105) gives:
% 257.77/65.29 | | | | | | | | | | | | (9108) all_4_79 = n4
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (128), (9107), (9108) imply:
% 257.77/65.29 | | | | | | | | | | | | (9109) sum(n4, n6) = all_4_73
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (9069), (9108) imply:
% 257.77/65.29 | | | | | | | | | | | | (9110) sum(n4, n9) = all_4_77
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (9067), (9107) imply:
% 257.77/65.29 | | | | | | | | | | | | (9111) sum(n7, n6) = all_4_74
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (56), (9109) gives:
% 257.77/65.29 | | | | | | | | | | | | (9112) all_4_73 = n10
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n9, n4,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (59), (9110) gives:
% 257.77/65.29 | | | | | | | | | | | | (9113) all_4_77 = n2
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n6, n7,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (89), (9111) gives:
% 257.77/65.29 | | | | | | | | | | | | (9114) all_4_74 = n2
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (9071), (9112) imply:
% 257.77/65.29 | | | | | | | | | | | | (9115) sum(n10, n5) = all_4_98
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REDUCE: (129), (9113), (9114) imply:
% 257.77/65.29 | | | | | | | | | | | | (9116) sum(n2, n2) = all_4_99
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (30), (9116) gives:
% 257.77/65.29 | | | | | | | | | | | | (9117) all_4_99 = n4
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n5, n10,
% 257.77/65.29 | | | | | | | | | | | | simplifying with (121), (9115) gives:
% 257.77/65.29 | | | | | | | | | | | | (9118) all_4_98 = n4
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.77/65.29 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.29 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.29 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.29 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.29 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.29 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.29 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.29 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.29 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.29 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.29 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.29 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.29 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.29 | | | | | | | | | | | | (245), (246), (8749), (9116), (9117), (9118) are
% 257.77/65.29 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | Case 2:
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | (9119) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.77/65.29 | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | BETA: splitting (9119) gives:
% 257.77/65.29 | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | Case 1:
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | (9120) all_4_101 = n4
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (229), (9120) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9121) pred(n4) = all_4_79
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (198), (9120) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9122) succ(n4) = all_4_75
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (191), (9122) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9123) all_4_75 = n5
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (222), (9121) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9124) all_4_79 = n3
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (128), (9123), (9124) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9125) sum(n3, n5) = all_4_73
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (9069), (9124) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9126) sum(n3, n9) = all_4_77
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (9067), (9123) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9127) sum(n7, n5) = all_4_74
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (44), (9125) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9128) all_4_73 = n8
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (48), (9126) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9129) all_4_77 = n1
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (88), (9127) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9130) all_4_74 = n1
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (9071), (9128) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9131) sum(n8, n5) = all_4_98
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REDUCE: (129), (9129), (9130) imply:
% 257.77/65.29 | | | | | | | | | | | | | (9132) sum(n1, n1) = all_4_99
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (18), (9132) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9133) all_4_99 = n2
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 257.77/65.29 | | | | | | | | | | | | | simplifying with (99), (9131) gives:
% 257.77/65.29 | | | | | | | | | | | | | (9134) all_4_98 = n2
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.77/65.29 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.29 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.29 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.29 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.29 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.29 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.29 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.29 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.29 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.29 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.29 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.29 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.29 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.29 | | | | | | | | | | | | | (245), (246), (8749), (9132), (9133), (9134) are
% 257.77/65.29 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | Case 2:
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | (9135) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.77/65.29 | | | | | | | | | | | | | all_4_101 = n0
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | BETA: splitting (9135) gives:
% 257.77/65.29 | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | Case 1:
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | (9136) all_4_101 = n3
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (229), (9136) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9137) pred(n3) = all_4_79
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (198), (9136) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9138) succ(n3) = all_4_75
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (190), (9138) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9139) all_4_75 = n4
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (221), (9137) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9140) all_4_79 = n2
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (128), (9139), (9140) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9141) sum(n2, n4) = all_4_73
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (9069), (9140) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9142) sum(n2, n9) = all_4_77
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (9067), (9139) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9143) sum(n7, n4) = all_4_74
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (32), (9141) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9144) all_4_73 = n6
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (37), (9142) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9145) all_4_77 = n0
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (87), (9143) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9146) all_4_74 = n0
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (9071), (9144) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9147) sum(n6, n5) = all_4_98
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | REDUCE: (129), (9145), (9146) imply:
% 257.77/65.29 | | | | | | | | | | | | | | (9148) sum(n0, n0) = all_4_99
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (6), (9148) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9149) all_4_99 = n0
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 257.77/65.29 | | | | | | | | | | | | | | simplifying with (77), (9147) gives:
% 257.77/65.29 | | | | | | | | | | | | | | (9150) all_4_98 = n0
% 257.77/65.29 | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.77/65.30 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.30 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.30 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.30 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.30 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.30 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.30 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.77/65.30 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.77/65.30 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.77/65.30 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.77/65.30 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.77/65.30 | | | | | | | | | | | | | | (246), (8749), (9148), (9149), (9150) are
% 257.77/65.30 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.77/65.30 | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | Case 2:
% 257.77/65.30 | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | (9151) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.30 | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | BETA: splitting (9151) gives:
% 257.77/65.30 | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | Case 1:
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | (9152) all_4_101 = n2
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (229), (9152) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9153) pred(n2) = all_4_79
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (198), (9152) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9154) succ(n2) = all_4_75
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (189), (9154) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9155) all_4_75 = n3
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (220), (9153) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9156) all_4_79 = n1
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (128), (9155), (9156) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9157) sum(n1, n3) = all_4_73
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (9069), (9156) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9158) sum(n1, n9) = all_4_77
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (9067), (9155) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9159) sum(n7, n3) = all_4_74
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (20), (9157) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9160) all_4_73 = n4
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (26), (9158) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9161) all_4_77 = n10
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (86), (9159) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9162) all_4_74 = n10
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (9071), (9160) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9163) sum(n4, n5) = all_4_98
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REDUCE: (129), (9161), (9162) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | (9164) sum(n10, n10) = all_4_99
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (55), (9163) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9165) all_4_98 = n9
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.77/65.30 | | | | | | | | | | | | | | | simplifying with (126), (9164) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | (9166) all_4_99 = n9
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.30 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.30 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.30 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.30 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.30 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.30 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.30 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.30 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.30 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.30 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.30 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.30 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.30 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.30 | | | | | | | | | | | | | | | (245), (246), (8749), (9164), (9165), (9166) are
% 257.77/65.30 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | Case 2:
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | (9167) all_4_101 = n1 | all_4_101 = n0
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | BETA: splitting (9167) gives:
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | (9168) all_4_101 = n1
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (229), (9168) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9169) pred(n1) = all_4_79
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (198), (9168) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9170) succ(n1) = all_4_75
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (188), (9170) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9171) all_4_75 = n2
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (219), (9169) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9172) all_4_79 = n0
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (128), (9171), (9172) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9173) sum(n0, n2) = all_4_73
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (9069), (9172) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9174) sum(n0, n9) = all_4_77
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (9067), (9171) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9175) sum(n7, n2) = all_4_74
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (8), (9173) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9176) all_4_73 = n2
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n9, n0,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (15), (9174) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9177) all_4_77 = n9
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n2, n7,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (85), (9175) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9178) all_4_74 = n9
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (9071), (9176) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9179) sum(n2, n5) = all_4_98
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (129), (9177), (9178) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9180) sum(n9, n9) = all_4_99
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n5, n2,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (33), (9179) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9181) all_4_98 = n7
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (114), (9180) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9182) all_4_99 = n7
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.30 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.30 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.30 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.30 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.30 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.30 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.30 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.30 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.30 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.30 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.30 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.30 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.30 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.30 | | | | | | | | | | | | | | | | (245), (246), (8749), (9180), (9181), (9182) are
% 257.77/65.30 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | (9183) all_4_101 = n0
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (229), (9183) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9184) pred(n0) = all_4_79
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (198), (9183) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9185) succ(n0) = all_4_75
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (187), (9185) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9186) all_4_75 = n1
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (218), (9184) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9187) all_4_79 = n10
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (128), (9186), (9187) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9188) sum(n10, n1) = all_4_73
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (9069), (9187) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9189) sum(n10, n9) = all_4_77
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (9067), (9186) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9190) sum(n7, n1) = all_4_74
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n1, n7,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (84), (9190) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9191) all_4_74 = n8
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (117), (9188) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9192) all_4_73 = n0
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n9, n10,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (125), (9189) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9193) all_4_77 = n8
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (9071), (9192) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9194) sum(n0, n5) = all_4_98
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REDUCE: (129), (9191), (9193) imply:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9195) sum(n8, n8) = all_4_99
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n5, n0,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (11), (9194) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9196) all_4_98 = n5
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.30 | | | | | | | | | | | | | | | | simplifying with (102), (9195) gives:
% 257.77/65.30 | | | | | | | | | | | | | | | | (9197) all_4_99 = n5
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.30 | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.30 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.30 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.30 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.30 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.30 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.30 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.30 | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.30 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.30 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.30 | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.30 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.30 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.30 | | | | | | | | | | | | | | | | (245), (246), (8749), (9195), (9196), (9197) are
% 257.77/65.30 | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.30 | | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | End of split
% 257.77/65.30 | | | | | | | | |
% 257.77/65.30 | | | | | | | | Case 2:
% 257.77/65.30 | | | | | | | | |
% 257.77/65.30 | | | | | | | | | (9198) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 257.77/65.30 | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.77/65.30 | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.30 | | | | | | | | |
% 257.77/65.30 | | | | | | | | | BETA: splitting (9061) gives:
% 257.77/65.30 | | | | | | | | |
% 257.77/65.30 | | | | | | | | | Case 1:
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | (9199) all_4_101 = n7
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | REDUCE: (229), (9199) imply:
% 257.77/65.30 | | | | | | | | | | (9200) pred(n7) = all_4_79
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | REDUCE: (198), (9199) imply:
% 257.77/65.30 | | | | | | | | | | (9201) succ(n7) = all_4_75
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 257.77/65.30 | | | | | | | | | | simplifying with (194), (9201) gives:
% 257.77/65.30 | | | | | | | | | | (9202) all_4_75 = n8
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 257.77/65.30 | | | | | | | | | | simplifying with (225), (9200) gives:
% 257.77/65.30 | | | | | | | | | | (9203) all_4_79 = n6
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | REDUCE: (131), (9202) imply:
% 257.77/65.30 | | | | | | | | | | (9204) sum(all_4_76, n8) = all_4_74
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | REDUCE: (128), (9202), (9203) imply:
% 257.77/65.30 | | | | | | | | | | (9205) sum(n6, n8) = all_4_73
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | REDUCE: (127), (9203) imply:
% 257.77/65.30 | | | | | | | | | | (9206) sum(n6, all_4_78) = all_4_77
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 257.77/65.30 | | | | | | | | | | simplifying with (80), (9205) gives:
% 257.77/65.30 | | | | | | | | | | (9207) all_4_73 = n3
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | REDUCE: (132), (9207) imply:
% 257.77/65.30 | | | | | | | | | | (9208) sum(n3, all_4_72) = all_4_98
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | BETA: splitting (9198) gives:
% 257.77/65.30 | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | Case 1:
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | (9209) all_4_100 = n7
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (230), (9209) imply:
% 257.77/65.30 | | | | | | | | | | | (9210) pred(n7) = all_4_76
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (199), (9209) imply:
% 257.77/65.30 | | | | | | | | | | | (9211) succ(n7) = all_4_78
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.77/65.30 | | | | | | | | | | | simplifying with (194), (9211) gives:
% 257.77/65.30 | | | | | | | | | | | (9212) all_4_78 = n8
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.77/65.30 | | | | | | | | | | | simplifying with (225), (9210) gives:
% 257.77/65.30 | | | | | | | | | | | (9213) all_4_76 = n6
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (130), (9212), (9213) imply:
% 257.77/65.30 | | | | | | | | | | | (9214) sum(n6, n8) = all_4_72
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (9204), (9213) imply:
% 257.77/65.30 | | | | | | | | | | | (9215) sum(n6, n8) = all_4_74
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (9206), (9212) imply:
% 257.77/65.30 | | | | | | | | | | | (9216) sum(n6, n8) = all_4_77
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n8, n6,
% 257.77/65.30 | | | | | | | | | | | simplifying with (80), (9215) gives:
% 257.77/65.30 | | | | | | | | | | | (9217) all_4_74 = n3
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n8, n6,
% 257.77/65.30 | | | | | | | | | | | simplifying with (9214), (9215) gives:
% 257.77/65.30 | | | | | | | | | | | (9218) all_4_72 = all_4_74
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n8, n6,
% 257.77/65.30 | | | | | | | | | | | simplifying with (9214), (9216) gives:
% 257.77/65.30 | | | | | | | | | | | (9219) all_4_72 = all_4_77
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | COMBINE_EQS: (9218), (9219) imply:
% 257.77/65.30 | | | | | | | | | | | (9220) all_4_74 = all_4_77
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | SIMP: (9220) implies:
% 257.77/65.30 | | | | | | | | | | | (9221) all_4_74 = all_4_77
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | COMBINE_EQS: (9217), (9221) imply:
% 257.77/65.30 | | | | | | | | | | | (9222) all_4_77 = n3
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | COMBINE_EQS: (9219), (9222) imply:
% 257.77/65.30 | | | | | | | | | | | (9223) all_4_72 = n3
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (129), (9217), (9222) imply:
% 257.77/65.30 | | | | | | | | | | | (9224) sum(n3, n3) = all_4_99
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REDUCE: (9208), (9223) imply:
% 257.77/65.30 | | | | | | | | | | | (9225) sum(n3, n3) = all_4_98
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n3, n3,
% 257.77/65.30 | | | | | | | | | | | simplifying with (42), (9225) gives:
% 257.77/65.30 | | | | | | | | | | | (9226) all_4_98 = n6
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n3, n3,
% 257.77/65.30 | | | | | | | | | | | simplifying with (9224), (9225) gives:
% 257.77/65.30 | | | | | | | | | | | (9227) all_4_98 = all_4_99
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | COMBINE_EQS: (9226), (9227) imply:
% 257.77/65.30 | | | | | | | | | | | (9228) all_4_99 = n6
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | SIMP: (9228) implies:
% 257.77/65.30 | | | | | | | | | | | (9229) all_4_99 = n6
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 257.77/65.30 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.30 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.30 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.30 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.30 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.30 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.30 | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.30 | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.30 | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.30 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.30 | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.30 | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.30 | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.30 | | | | | | | | | | | (245), (246), (8749), (9224), (9226), (9229) are
% 257.77/65.30 | | | | | | | | | | | inconsistent by sub-proof #186.
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | Case 2:
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | (9230) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.77/65.30 | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.77/65.30 | | | | | | | | | | | all_4_100 = n0
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | BETA: splitting (9230) gives:
% 257.77/65.30 | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | Case 1:
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | (9231) all_4_100 = n6
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (230), (9231) imply:
% 257.77/65.30 | | | | | | | | | | | | (9232) pred(n6) = all_4_76
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (199), (9231) imply:
% 257.77/65.30 | | | | | | | | | | | | (9233) succ(n6) = all_4_78
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (193), (9233) gives:
% 257.77/65.30 | | | | | | | | | | | | (9234) all_4_78 = n7
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (224), (9232) gives:
% 257.77/65.30 | | | | | | | | | | | | (9235) all_4_76 = n5
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (130), (9234), (9235) imply:
% 257.77/65.30 | | | | | | | | | | | | (9236) sum(n5, n7) = all_4_72
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (9204), (9235) imply:
% 257.77/65.30 | | | | | | | | | | | | (9237) sum(n5, n8) = all_4_74
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (9206), (9234) imply:
% 257.77/65.30 | | | | | | | | | | | | (9238) sum(n6, n7) = all_4_77
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (68), (9236) gives:
% 257.77/65.30 | | | | | | | | | | | | (9239) all_4_72 = n1
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n8, n5,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (69), (9237) gives:
% 257.77/65.30 | | | | | | | | | | | | (9240) all_4_74 = n2
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n7, n6,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (79), (9238) gives:
% 257.77/65.30 | | | | | | | | | | | | (9241) all_4_77 = n2
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (129), (9240), (9241) imply:
% 257.77/65.30 | | | | | | | | | | | | (9242) sum(n2, n2) = all_4_99
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | REDUCE: (9208), (9239) imply:
% 257.77/65.30 | | | | | | | | | | | | (9243) sum(n3, n1) = all_4_98
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (30), (9242) gives:
% 257.77/65.30 | | | | | | | | | | | | (9244) all_4_99 = n4
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.30 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n1, n3,
% 257.77/65.30 | | | | | | | | | | | | simplifying with (40), (9243) gives:
% 257.77/65.30 | | | | | | | | | | | | (9245) all_4_98 = n4
% 257.77/65.30 | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.77/65.31 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.31 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.31 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.31 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.31 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.31 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.31 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.31 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.31 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.31 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.31 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.31 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.31 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.31 | | | | | | | | | | | | (245), (246), (8749), (9242), (9244), (9245) are
% 257.77/65.31 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 257.77/65.31 | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | Case 2:
% 257.77/65.31 | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | (9246) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.77/65.31 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.31 | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | BETA: splitting (9246) gives:
% 257.77/65.31 | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | Case 1:
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | (9247) all_4_100 = n5
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (230), (9247) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9248) pred(n5) = all_4_76
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (199), (9247) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9249) succ(n5) = all_4_78
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (192), (9249) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9250) all_4_78 = n6
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (223), (9248) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9251) all_4_76 = n4
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (130), (9250), (9251) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9252) sum(n4, n6) = all_4_72
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (9204), (9251) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9253) sum(n4, n8) = all_4_74
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (9206), (9250) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9254) sum(n6, n6) = all_4_77
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (56), (9252) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9255) all_4_72 = n10
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (58), (9253) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9256) all_4_74 = n1
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (78), (9254) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9257) all_4_77 = n1
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (129), (9256), (9257) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9258) sum(n1, n1) = all_4_99
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REDUCE: (9208), (9255) imply:
% 257.77/65.31 | | | | | | | | | | | | | (9259) sum(n3, n10) = all_4_98
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (18), (9258) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9260) all_4_99 = n2
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 257.77/65.31 | | | | | | | | | | | | | simplifying with (49), (9259) gives:
% 257.77/65.31 | | | | | | | | | | | | | (9261) all_4_98 = n2
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.77/65.31 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.31 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.31 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.31 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.31 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.31 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.31 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.31 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.31 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.31 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.31 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.31 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.31 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.31 | | | | | | | | | | | | | (245), (246), (8749), (9258), (9260), (9261) are
% 257.77/65.31 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | Case 2:
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | (9262) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.77/65.31 | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | BETA: splitting (9262) gives:
% 257.77/65.31 | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | Case 1:
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | (9263) all_4_100 = n4
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (230), (9263) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9264) pred(n4) = all_4_76
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (199), (9263) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9265) succ(n4) = all_4_78
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (191), (9265) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9266) all_4_78 = n5
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (222), (9264) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9267) all_4_76 = n3
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (130), (9266), (9267) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9268) sum(n3, n5) = all_4_72
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (9204), (9267) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9269) sum(n3, n8) = all_4_74
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (9206), (9266) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9270) sum(n6, n5) = all_4_77
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (44), (9268) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9271) all_4_72 = n8
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (47), (9269) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9272) all_4_74 = n0
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (77), (9270) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9273) all_4_77 = n0
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (129), (9272), (9273) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9274) sum(n0, n0) = all_4_99
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REDUCE: (9208), (9271) imply:
% 257.77/65.31 | | | | | | | | | | | | | | (9275) sum(n3, n8) = all_4_98
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (6), (9274) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9276) all_4_99 = n0
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 257.77/65.31 | | | | | | | | | | | | | | simplifying with (47), (9275) gives:
% 257.77/65.31 | | | | | | | | | | | | | | (9277) all_4_98 = n0
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.77/65.31 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.31 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.31 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.31 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.31 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.31 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.31 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.77/65.31 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.77/65.31 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.77/65.31 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.77/65.31 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.77/65.31 | | | | | | | | | | | | | | (246), (8749), (9274), (9276), (9277) are
% 257.77/65.31 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | Case 2:
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | (9278) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.77/65.31 | | | | | | | | | | | | | | all_4_100 = n0
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | BETA: splitting (9278) gives:
% 257.77/65.31 | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | Case 1:
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | (9279) all_4_100 = n3
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (230), (9279) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9280) pred(n3) = all_4_76
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (199), (9279) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9281) succ(n3) = all_4_78
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (190), (9281) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9282) all_4_78 = n4
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (221), (9280) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9283) all_4_76 = n2
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (130), (9282), (9283) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9284) sum(n2, n4) = all_4_72
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (9204), (9283) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9285) sum(n2, n8) = all_4_74
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (9206), (9282) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9286) sum(n6, n4) = all_4_77
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (32), (9284) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9287) all_4_72 = n6
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (36), (9285) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9288) all_4_74 = n10
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (76), (9286) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9289) all_4_77 = n10
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (129), (9288), (9289) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9290) sum(n10, n10) = all_4_99
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REDUCE: (9208), (9287) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | (9291) sum(n3, n6) = all_4_98
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (45), (9291) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9292) all_4_98 = n9
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.77/65.31 | | | | | | | | | | | | | | | simplifying with (126), (9290) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | (9293) all_4_99 = n9
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.31 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.31 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.31 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.31 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.31 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.31 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.31 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.31 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.31 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.31 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.31 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.31 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.31 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.31 | | | | | | | | | | | | | | | (245), (246), (8749), (9290), (9292), (9293) are
% 257.77/65.31 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | Case 2:
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | (9294) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | BETA: splitting (9294) gives:
% 257.77/65.31 | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | (9295) all_4_100 = n2
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (230), (9295) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9296) pred(n2) = all_4_76
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (199), (9295) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9297) succ(n2) = all_4_78
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (189), (9297) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9298) all_4_78 = n3
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (220), (9296) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9299) all_4_76 = n1
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (130), (9298), (9299) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9300) sum(n1, n3) = all_4_72
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (9204), (9299) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9301) sum(n1, n8) = all_4_74
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (9206), (9298) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9302) sum(n6, n3) = all_4_77
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (20), (9300) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9303) all_4_72 = n4
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n8, n1,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (25), (9301) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9304) all_4_74 = n9
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n3, n6,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (75), (9302) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9305) all_4_77 = n9
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (129), (9304), (9305) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9306) sum(n9, n9) = all_4_99
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REDUCE: (9208), (9303) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9307) sum(n3, n4) = all_4_98
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n4, n3,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (43), (9307) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9308) all_4_98 = n7
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.31 | | | | | | | | | | | | | | | | simplifying with (114), (9306) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | (9309) all_4_99 = n7
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.31 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.31 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.31 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.31 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.31 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.31 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.31 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.31 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.31 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.31 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.31 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.31 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.31 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.31 | | | | | | | | | | | | | | | | (245), (246), (8749), (9306), (9308), (9309) are
% 257.77/65.31 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | (9310) all_4_100 = n1 | all_4_100 = n0
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | BETA: splitting (9310) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9311) all_4_100 = n1
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (230), (9311) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9312) pred(n1) = all_4_76
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (199), (9311) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9313) succ(n1) = all_4_78
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (188), (9313) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9314) all_4_78 = n2
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (219), (9312) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9315) all_4_76 = n0
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (130), (9314), (9315) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9316) sum(n0, n2) = all_4_72
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (9204), (9315) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9317) sum(n0, n8) = all_4_74
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (9206), (9314) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9318) sum(n6, n2) = all_4_77
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (8), (9316) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9319) all_4_72 = n2
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n8, n0,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (14), (9317) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9320) all_4_74 = n8
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n2, n6,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (74), (9318) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9321) all_4_77 = n8
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (129), (9320), (9321) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9322) sum(n8, n8) = all_4_99
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | REDUCE: (9208), (9319) imply:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9323) sum(n3, n2) = all_4_98
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n2, n3,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (41), (9323) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9324) all_4_98 = n5
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.31 | | | | | | | | | | | | | | | | | simplifying with (102), (9322) gives:
% 257.77/65.31 | | | | | | | | | | | | | | | | | (9325) all_4_99 = n5
% 257.77/65.31 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9322), (9324), (9325) are
% 257.77/65.32 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9326) all_4_100 = n0
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (230), (9326) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9327) pred(n0) = all_4_76
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (199), (9326) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9328) succ(n0) = all_4_78
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (187), (9328) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9329) all_4_78 = n1
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (218), (9327) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9330) all_4_76 = n10
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (130), (9329), (9330) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9331) sum(n10, n1) = all_4_72
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (9204), (9330) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9332) sum(n10, n8) = all_4_74
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (9206), (9329) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9333) sum(n6, n1) = all_4_77
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n1, n6,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (73), (9333) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9334) all_4_77 = n7
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (117), (9331) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9335) all_4_72 = n0
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n8, n10,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (124), (9332) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9336) all_4_74 = n7
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (129), (9334), (9336) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9337) sum(n7, n7) = all_4_99
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REDUCE: (9208), (9335) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9338) sum(n3, n0) = all_4_98
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n0, n3,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (39), (9338) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9339) all_4_98 = n3
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 257.77/65.32 | | | | | | | | | | | | | | | | | simplifying with (90), (9337) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | | | (9340) all_4_99 = n3
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.32 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9337), (9339), (9340) are
% 257.77/65.32 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 257.77/65.32 | | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | End of split
% 257.77/65.32 | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | Case 2:
% 257.77/65.32 | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | (9341) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 257.77/65.32 | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.77/65.32 | | | | | | | | | | all_4_101 = n0
% 257.77/65.32 | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | BETA: splitting (9198) gives:
% 257.77/65.32 | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | Case 1:
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | (9342) all_4_100 = n7
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | REDUCE: (230), (9342) imply:
% 257.77/65.32 | | | | | | | | | | | (9343) pred(n7) = all_4_76
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | REDUCE: (199), (9342) imply:
% 257.77/65.32 | | | | | | | | | | | (9344) succ(n7) = all_4_78
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 257.77/65.32 | | | | | | | | | | | simplifying with (194), (9344) gives:
% 257.77/65.32 | | | | | | | | | | | (9345) all_4_78 = n8
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 257.77/65.32 | | | | | | | | | | | simplifying with (225), (9343) gives:
% 257.77/65.32 | | | | | | | | | | | (9346) all_4_76 = n6
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | REDUCE: (131), (9346) imply:
% 257.77/65.32 | | | | | | | | | | | (9347) sum(n6, all_4_75) = all_4_74
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | REDUCE: (130), (9345), (9346) imply:
% 257.77/65.32 | | | | | | | | | | | (9348) sum(n6, n8) = all_4_72
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | REDUCE: (127), (9345) imply:
% 257.77/65.32 | | | | | | | | | | | (9349) sum(all_4_79, n8) = all_4_77
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 257.77/65.32 | | | | | | | | | | | simplifying with (80), (9348) gives:
% 257.77/65.32 | | | | | | | | | | | (9350) all_4_72 = n3
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | REDUCE: (132), (9350) imply:
% 257.77/65.32 | | | | | | | | | | | (9351) sum(all_4_73, n3) = all_4_98
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | BETA: splitting (9341) gives:
% 257.77/65.32 | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | Case 1:
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | (9352) all_4_101 = n6
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (229), (9352) imply:
% 257.77/65.32 | | | | | | | | | | | | (9353) pred(n6) = all_4_79
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (198), (9352) imply:
% 257.77/65.32 | | | | | | | | | | | | (9354) succ(n6) = all_4_75
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (193), (9354) gives:
% 257.77/65.32 | | | | | | | | | | | | (9355) all_4_75 = n7
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (224), (9353) gives:
% 257.77/65.32 | | | | | | | | | | | | (9356) all_4_79 = n5
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (128), (9355), (9356) imply:
% 257.77/65.32 | | | | | | | | | | | | (9357) sum(n5, n7) = all_4_73
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (9349), (9356) imply:
% 257.77/65.32 | | | | | | | | | | | | (9358) sum(n5, n8) = all_4_77
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (9347), (9355) imply:
% 257.77/65.32 | | | | | | | | | | | | (9359) sum(n6, n7) = all_4_74
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (68), (9357) gives:
% 257.77/65.32 | | | | | | | | | | | | (9360) all_4_73 = n1
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n8, n5,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (69), (9358) gives:
% 257.77/65.32 | | | | | | | | | | | | (9361) all_4_77 = n2
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n7, n6,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (79), (9359) gives:
% 257.77/65.32 | | | | | | | | | | | | (9362) all_4_74 = n2
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (9351), (9360) imply:
% 257.77/65.32 | | | | | | | | | | | | (9363) sum(n1, n3) = all_4_98
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REDUCE: (129), (9361), (9362) imply:
% 257.77/65.32 | | | | | | | | | | | | (9364) sum(n2, n2) = all_4_99
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n3, n1,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (20), (9363) gives:
% 257.77/65.32 | | | | | | | | | | | | (9365) all_4_98 = n4
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 257.77/65.32 | | | | | | | | | | | | simplifying with (30), (9364) gives:
% 257.77/65.32 | | | | | | | | | | | | (9366) all_4_99 = n4
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 257.77/65.32 | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.32 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.32 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.32 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.32 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.32 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.32 | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.32 | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.32 | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.32 | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.32 | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.32 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.32 | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.32 | | | | | | | | | | | | (245), (246), (8749), (9364), (9365), (9366) are
% 257.77/65.32 | | | | | | | | | | | | inconsistent by sub-proof #185.
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | Case 2:
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | (9367) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 257.77/65.32 | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | BETA: splitting (9367) gives:
% 257.77/65.32 | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | Case 1:
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | (9368) all_4_101 = n5
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (229), (9368) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9369) pred(n5) = all_4_79
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (198), (9368) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9370) succ(n5) = all_4_75
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (192), (9370) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9371) all_4_75 = n6
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (223), (9369) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9372) all_4_79 = n4
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (128), (9371), (9372) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9373) sum(n4, n6) = all_4_73
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (9349), (9372) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9374) sum(n4, n8) = all_4_77
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (9347), (9371) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9375) sum(n6, n6) = all_4_74
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (56), (9373) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9376) all_4_73 = n10
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n8, n4,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (58), (9374) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9377) all_4_77 = n1
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n6, n6,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (78), (9375) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9378) all_4_74 = n1
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (9351), (9376) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9379) sum(n10, n3) = all_4_98
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REDUCE: (129), (9377), (9378) imply:
% 257.77/65.32 | | | | | | | | | | | | | (9380) sum(n1, n1) = all_4_99
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (18), (9380) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9381) all_4_99 = n2
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n3, n10,
% 257.77/65.32 | | | | | | | | | | | | | simplifying with (119), (9379) gives:
% 257.77/65.32 | | | | | | | | | | | | | (9382) all_4_98 = n2
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.77/65.32 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.32 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.32 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.32 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.32 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.32 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.32 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.32 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.32 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.32 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.32 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.32 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.32 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.32 | | | | | | | | | | | | | (245), (246), (8749), (9380), (9381), (9382) are
% 257.77/65.32 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | Case 2:
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | (9383) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.77/65.32 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | BETA: splitting (9383) gives:
% 257.77/65.32 | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | Case 1:
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | (9384) all_4_101 = n4
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (229), (9384) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9385) pred(n4) = all_4_79
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (198), (9384) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9386) succ(n4) = all_4_75
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (191), (9386) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9387) all_4_75 = n5
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (222), (9385) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9388) all_4_79 = n3
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (128), (9387), (9388) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9389) sum(n3, n5) = all_4_73
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (9349), (9388) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9390) sum(n3, n8) = all_4_77
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (9347), (9387) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9391) sum(n6, n5) = all_4_74
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (44), (9389) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9392) all_4_73 = n8
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (47), (9390) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9393) all_4_77 = n0
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (77), (9391) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9394) all_4_74 = n0
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (9351), (9392) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9395) sum(n8, n3) = all_4_98
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REDUCE: (129), (9393), (9394) imply:
% 257.77/65.32 | | | | | | | | | | | | | | (9396) sum(n0, n0) = all_4_99
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (6), (9396) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9397) all_4_99 = n0
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 257.77/65.32 | | | | | | | | | | | | | | simplifying with (97), (9395) gives:
% 257.77/65.32 | | | | | | | | | | | | | | (9398) all_4_98 = n0
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.77/65.32 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.32 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.32 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.32 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.32 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.32 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.32 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.77/65.32 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.77/65.32 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.77/65.32 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.77/65.32 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.77/65.32 | | | | | | | | | | | | | | (246), (8749), (9396), (9397), (9398) are
% 257.77/65.32 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | Case 2:
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | (9399) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.77/65.32 | | | | | | | | | | | | | | all_4_101 = n0
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | BETA: splitting (9399) gives:
% 257.77/65.32 | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | Case 1:
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | (9400) all_4_101 = n3
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (229), (9400) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9401) pred(n3) = all_4_79
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (198), (9400) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9402) succ(n3) = all_4_75
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (190), (9402) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9403) all_4_75 = n4
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (221), (9401) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9404) all_4_79 = n2
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (128), (9403), (9404) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9405) sum(n2, n4) = all_4_73
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (9349), (9404) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9406) sum(n2, n8) = all_4_77
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (9347), (9403) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9407) sum(n6, n4) = all_4_74
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (32), (9405) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9408) all_4_73 = n6
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (36), (9406) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9409) all_4_77 = n10
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (76), (9407) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9410) all_4_74 = n10
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (9351), (9408) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9411) sum(n6, n3) = all_4_98
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | REDUCE: (129), (9409), (9410) imply:
% 257.77/65.32 | | | | | | | | | | | | | | | (9412) sum(n10, n10) = all_4_99
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (75), (9411) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9413) all_4_98 = n9
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.32 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.77/65.32 | | | | | | | | | | | | | | | simplifying with (126), (9412) gives:
% 257.77/65.32 | | | | | | | | | | | | | | | (9414) all_4_99 = n9
% 257.77/65.32 | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.33 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.33 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.33 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.33 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.33 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.33 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.33 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.33 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.33 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.33 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.33 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.33 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.33 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.33 | | | | | | | | | | | | | | | (245), (246), (8749), (9412), (9413), (9414) are
% 257.77/65.33 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.33 | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | Case 2:
% 257.77/65.33 | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | (9415) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.33 | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | BETA: splitting (9415) gives:
% 257.77/65.33 | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | (9416) all_4_101 = n2
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (229), (9416) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9417) pred(n2) = all_4_79
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (198), (9416) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9418) succ(n2) = all_4_75
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (189), (9418) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9419) all_4_75 = n3
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (220), (9417) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9420) all_4_79 = n1
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (128), (9419), (9420) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9421) sum(n1, n3) = all_4_73
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (9349), (9420) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9422) sum(n1, n8) = all_4_77
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (9347), (9419) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9423) sum(n6, n3) = all_4_74
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (20), (9421) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9424) all_4_73 = n4
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n8, n1,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (25), (9422) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9425) all_4_77 = n9
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n3, n6,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (75), (9423) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9426) all_4_74 = n9
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (9351), (9424) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9427) sum(n4, n3) = all_4_98
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REDUCE: (129), (9425), (9426) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9428) sum(n9, n9) = all_4_99
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n3, n4,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (53), (9427) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9429) all_4_98 = n7
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.33 | | | | | | | | | | | | | | | | simplifying with (114), (9428) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | (9430) all_4_99 = n7
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.33 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.33 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.33 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.33 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.33 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.33 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.33 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.33 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.33 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.33 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.33 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.33 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.33 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.33 | | | | | | | | | | | | | | | | (245), (246), (8749), (9428), (9429), (9430) are
% 257.77/65.33 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | (9431) all_4_101 = n1 | all_4_101 = n0
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | BETA: splitting (9431) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9432) all_4_101 = n1
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (229), (9432) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9433) pred(n1) = all_4_79
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (198), (9432) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9434) succ(n1) = all_4_75
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (188), (9434) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9435) all_4_75 = n2
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (219), (9433) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9436) all_4_79 = n0
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (128), (9435), (9436) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9437) sum(n0, n2) = all_4_73
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (9349), (9436) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9438) sum(n0, n8) = all_4_77
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (9347), (9435) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9439) sum(n6, n2) = all_4_74
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (8), (9437) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9440) all_4_73 = n2
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n8, n0,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (14), (9438) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9441) all_4_77 = n8
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n2, n6,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (74), (9439) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9442) all_4_74 = n8
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (9351), (9440) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9443) sum(n2, n3) = all_4_98
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (129), (9441), (9442) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9444) sum(n8, n8) = all_4_99
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n3, n2,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (31), (9443) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9445) all_4_98 = n5
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (102), (9444) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9446) all_4_99 = n5
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9444), (9445), (9446) are
% 257.77/65.33 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9447) all_4_101 = n0
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (229), (9447) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9448) pred(n0) = all_4_79
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (198), (9447) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9449) succ(n0) = all_4_75
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (187), (9449) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9450) all_4_75 = n1
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (218), (9448) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9451) all_4_79 = n10
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (128), (9450), (9451) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9452) sum(n10, n1) = all_4_73
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (9349), (9451) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9453) sum(n10, n8) = all_4_77
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (9347), (9450) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9454) sum(n6, n1) = all_4_74
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n1, n6,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (73), (9454) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9455) all_4_74 = n7
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (117), (9452) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9456) all_4_73 = n0
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n8, n10,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (124), (9453) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9457) all_4_77 = n7
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (9351), (9456) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9458) sum(n0, n3) = all_4_98
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REDUCE: (129), (9455), (9457) imply:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9459) sum(n7, n7) = all_4_99
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n3, n0,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (9), (9458) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9460) all_4_98 = n3
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 257.77/65.33 | | | | | | | | | | | | | | | | | simplifying with (90), (9459) gives:
% 257.77/65.33 | | | | | | | | | | | | | | | | | (9461) all_4_99 = n3
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.33 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9459), (9460), (9461) are
% 257.77/65.33 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 257.77/65.33 | | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | | End of split
% 257.77/65.33 | | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | | End of split
% 257.77/65.33 | | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | End of split
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | End of split
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | End of split
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | End of split
% 257.77/65.33 | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | Case 2:
% 257.77/65.33 | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | (9462) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 257.77/65.33 | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.77/65.33 | | | | | | | | | | | all_4_100 = n0
% 257.77/65.33 | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | BETA: splitting (9341) gives:
% 257.77/65.33 | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | Case 1:
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | (9463) all_4_101 = n6
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | REDUCE: (229), (9463) imply:
% 257.77/65.33 | | | | | | | | | | | | (9464) pred(n6) = all_4_79
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | REDUCE: (198), (9463) imply:
% 257.77/65.33 | | | | | | | | | | | | (9465) succ(n6) = all_4_75
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 257.77/65.33 | | | | | | | | | | | | simplifying with (193), (9465) gives:
% 257.77/65.33 | | | | | | | | | | | | (9466) all_4_75 = n7
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 257.77/65.33 | | | | | | | | | | | | simplifying with (224), (9464) gives:
% 257.77/65.33 | | | | | | | | | | | | (9467) all_4_79 = n5
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | REDUCE: (131), (9466) imply:
% 257.77/65.33 | | | | | | | | | | | | (9468) sum(all_4_76, n7) = all_4_74
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | REDUCE: (128), (9466), (9467) imply:
% 257.77/65.33 | | | | | | | | | | | | (9469) sum(n5, n7) = all_4_73
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | REDUCE: (127), (9467) imply:
% 257.77/65.33 | | | | | | | | | | | | (9470) sum(n5, all_4_78) = all_4_77
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 257.77/65.33 | | | | | | | | | | | | simplifying with (68), (9469) gives:
% 257.77/65.33 | | | | | | | | | | | | (9471) all_4_73 = n1
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | REDUCE: (132), (9471) imply:
% 257.77/65.33 | | | | | | | | | | | | (9472) sum(n1, all_4_72) = all_4_98
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | BETA: splitting (9462) gives:
% 257.77/65.33 | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | Case 1:
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | (9473) all_4_100 = n6
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (230), (9473) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9474) pred(n6) = all_4_76
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (199), (9473) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9475) succ(n6) = all_4_78
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (193), (9475) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9476) all_4_78 = n7
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (224), (9474) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9477) all_4_76 = n5
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (130), (9476), (9477) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9478) sum(n5, n7) = all_4_72
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (9468), (9477) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9479) sum(n5, n7) = all_4_74
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (9470), (9476) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9480) sum(n5, n7) = all_4_77
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n7, n5,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (68), (9479) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9481) all_4_74 = n1
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n7, n5,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (9478), (9479) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9482) all_4_72 = all_4_74
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n7, n5,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (9478), (9480) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9483) all_4_72 = all_4_77
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | COMBINE_EQS: (9482), (9483) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9484) all_4_74 = all_4_77
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | SIMP: (9484) implies:
% 257.77/65.33 | | | | | | | | | | | | | (9485) all_4_74 = all_4_77
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | COMBINE_EQS: (9481), (9485) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9486) all_4_77 = n1
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | COMBINE_EQS: (9483), (9486) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9487) all_4_72 = n1
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (129), (9481), (9486) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9488) sum(n1, n1) = all_4_99
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REDUCE: (9472), (9487) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9489) sum(n1, n1) = all_4_98
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n1, n1,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (18), (9489) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9490) all_4_98 = n2
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n1, n1,
% 257.77/65.33 | | | | | | | | | | | | | simplifying with (9488), (9489) gives:
% 257.77/65.33 | | | | | | | | | | | | | (9491) all_4_98 = all_4_99
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | COMBINE_EQS: (9490), (9491) imply:
% 257.77/65.33 | | | | | | | | | | | | | (9492) all_4_99 = n2
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | SIMP: (9492) implies:
% 257.77/65.33 | | | | | | | | | | | | | (9493) all_4_99 = n2
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 257.77/65.33 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 257.77/65.33 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.33 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.33 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.33 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.33 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.33 | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.33 | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.33 | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.33 | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.33 | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.33 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.33 | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.33 | | | | | | | | | | | | | (245), (246), (8749), (9488), (9490), (9493) are
% 257.77/65.33 | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | Case 2:
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | (9494) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.77/65.33 | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | BETA: splitting (9494) gives:
% 257.77/65.33 | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | Case 1:
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | (9495) all_4_100 = n5
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (230), (9495) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9496) pred(n5) = all_4_76
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (199), (9495) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9497) succ(n5) = all_4_78
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (192), (9497) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9498) all_4_78 = n6
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (223), (9496) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9499) all_4_76 = n4
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (130), (9498), (9499) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9500) sum(n4, n6) = all_4_72
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (9468), (9499) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9501) sum(n4, n7) = all_4_74
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (9470), (9498) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9502) sum(n5, n6) = all_4_77
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (56), (9500) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9503) all_4_72 = n10
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (57), (9501) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9504) all_4_74 = n0
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (67), (9502) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9505) all_4_77 = n0
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (129), (9504), (9505) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9506) sum(n0, n0) = all_4_99
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | REDUCE: (9472), (9503) imply:
% 257.77/65.33 | | | | | | | | | | | | | | (9507) sum(n1, n10) = all_4_98
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (6), (9506) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9508) all_4_99 = n0
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 257.77/65.33 | | | | | | | | | | | | | | simplifying with (27), (9507) gives:
% 257.77/65.33 | | | | | | | | | | | | | | (9509) all_4_98 = n0
% 257.77/65.33 | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.77/65.34 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.34 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.34 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.34 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.34 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.34 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.34 | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 257.77/65.34 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 257.77/65.34 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 257.77/65.34 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 257.77/65.34 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 257.77/65.34 | | | | | | | | | | | | | | (246), (8749), (9506), (9508), (9509) are
% 257.77/65.34 | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 257.77/65.34 | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | Case 2:
% 257.77/65.34 | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | (9510) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.77/65.34 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.34 | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | BETA: splitting (9510) gives:
% 257.77/65.34 | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | Case 1:
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | (9511) all_4_100 = n4
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (230), (9511) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9512) pred(n4) = all_4_76
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (199), (9511) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9513) succ(n4) = all_4_78
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (191), (9513) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9514) all_4_78 = n5
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (222), (9512) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9515) all_4_76 = n3
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (130), (9514), (9515) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9516) sum(n3, n5) = all_4_72
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (9468), (9515) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9517) sum(n3, n7) = all_4_74
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (9470), (9514) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9518) sum(n5, n5) = all_4_77
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (44), (9516) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9519) all_4_72 = n8
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (46), (9517) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9520) all_4_74 = n10
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (66), (9518) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9521) all_4_77 = n10
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (129), (9520), (9521) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9522) sum(n10, n10) = all_4_99
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REDUCE: (9472), (9519) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | (9523) sum(n1, n8) = all_4_98
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (25), (9523) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9524) all_4_98 = n9
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.77/65.34 | | | | | | | | | | | | | | | simplifying with (126), (9522) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | (9525) all_4_99 = n9
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.34 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.34 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.34 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.34 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.34 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.34 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.34 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.34 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.34 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.34 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.34 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.34 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.34 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.34 | | | | | | | | | | | | | | | (245), (246), (8749), (9522), (9524), (9525) are
% 257.77/65.34 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | Case 2:
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | (9526) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.77/65.34 | | | | | | | | | | | | | | | all_4_100 = n0
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | BETA: splitting (9526) gives:
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | (9527) all_4_100 = n3
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (230), (9527) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9528) pred(n3) = all_4_76
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (199), (9527) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9529) succ(n3) = all_4_78
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (190), (9529) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9530) all_4_78 = n4
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (221), (9528) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9531) all_4_76 = n2
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (130), (9530), (9531) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9532) sum(n2, n4) = all_4_72
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (9468), (9531) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9533) sum(n2, n7) = all_4_74
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (9470), (9530) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9534) sum(n5, n4) = all_4_77
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (32), (9532) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9535) all_4_72 = n6
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n7, n2,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (35), (9533) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9536) all_4_74 = n9
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n4, n5,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (65), (9534) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9537) all_4_77 = n9
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (129), (9536), (9537) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9538) sum(n9, n9) = all_4_99
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REDUCE: (9472), (9535) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9539) sum(n1, n6) = all_4_98
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n6, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (23), (9539) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9540) all_4_98 = n7
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.34 | | | | | | | | | | | | | | | | simplifying with (114), (9538) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | (9541) all_4_99 = n7
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.34 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.34 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.34 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.34 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.34 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.34 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.34 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.34 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.34 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.34 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.34 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.34 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.34 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.34 | | | | | | | | | | | | | | | | (245), (246), (8749), (9538), (9540), (9541) are
% 257.77/65.34 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | (9542) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | BETA: splitting (9542) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9543) all_4_100 = n2
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (230), (9543) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9544) pred(n2) = all_4_76
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (199), (9543) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9545) succ(n2) = all_4_78
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (189), (9545) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9546) all_4_78 = n3
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (220), (9544) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9547) all_4_76 = n1
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (130), (9546), (9547) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9548) sum(n1, n3) = all_4_72
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (9468), (9547) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9549) sum(n1, n7) = all_4_74
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (9470), (9546) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9550) sum(n5, n3) = all_4_77
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (20), (9548) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9551) all_4_72 = n4
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n7, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (24), (9549) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9552) all_4_74 = n8
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n3, n5,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (64), (9550) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9553) all_4_77 = n8
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (129), (9552), (9553) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9554) sum(n8, n8) = all_4_99
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REDUCE: (9472), (9551) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9555) sum(n1, n4) = all_4_98
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n4, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (21), (9555) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9556) all_4_98 = n5
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.34 | | | | | | | | | | | | | | | | | simplifying with (102), (9554) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9557) all_4_99 = n5
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.34 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9554), (9556), (9557) are
% 257.77/65.34 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | (9558) all_4_100 = n1 | all_4_100 = n0
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | BETA: splitting (9558) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9559) all_4_100 = n1
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (230), (9559) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9560) pred(n1) = all_4_76
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (199), (9559) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9561) succ(n1) = all_4_78
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (188), (9561) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9562) all_4_78 = n2
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (219), (9560) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9563) all_4_76 = n0
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (130), (9562), (9563) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9564) sum(n0, n2) = all_4_72
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (9468), (9563) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9565) sum(n0, n7) = all_4_74
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9562) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9566) sum(n5, n2) = all_4_77
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (8), (9564) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9567) all_4_72 = n2
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n7, n0,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (13), (9565) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9568) all_4_74 = n7
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n2, n5,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (63), (9566) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9569) all_4_77 = n7
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9568), (9569) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9570) sum(n7, n7) = all_4_99
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9567) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9571) sum(n1, n2) = all_4_98
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n2, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (19), (9571) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9572) all_4_98 = n3
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (90), (9570) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9573) all_4_99 = n3
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9570), (9572), (9573) are
% 257.77/65.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9574) all_4_100 = n0
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (230), (9574) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9575) pred(n0) = all_4_76
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (199), (9574) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9576) succ(n0) = all_4_78
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (187), (9576) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9577) all_4_78 = n1
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (218), (9575) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9578) all_4_76 = n10
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (130), (9577), (9578) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9579) sum(n10, n1) = all_4_72
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (9468), (9578) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9580) sum(n10, n7) = all_4_74
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9577) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9581) sum(n5, n1) = all_4_77
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n1, n5,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (62), (9581) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9582) all_4_77 = n6
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (117), (9579) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9583) all_4_72 = n0
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n7, n10,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (123), (9580) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9584) all_4_74 = n6
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9582), (9584) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9585) sum(n6, n6) = all_4_99
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9583) imply:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9586) sum(n1, n0) = all_4_98
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n0, n1,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (17), (9586) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9587) all_4_98 = n1
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 257.77/65.34 | | | | | | | | | | | | | | | | | | simplifying with (78), (9585) gives:
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (9588) all_4_99 = n1
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.34 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9585), (9587), (9588) are
% 257.77/65.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189.
% 257.77/65.34 | | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | | End of split
% 257.77/65.34 | | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | | End of split
% 257.77/65.34 | | | | | | | | | | | | | | | |
% 257.77/65.34 | | | | | | | | | | | | | | | End of split
% 257.77/65.34 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | End of split
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | End of split
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | End of split
% 257.77/65.35 | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | Case 2:
% 257.77/65.35 | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | (9589) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 257.77/65.35 | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.35 | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | BETA: splitting (9462) gives:
% 257.77/65.35 | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | Case 1:
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | (9590) all_4_100 = n6
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | REDUCE: (230), (9590) imply:
% 257.77/65.35 | | | | | | | | | | | | | (9591) pred(n6) = all_4_76
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | REDUCE: (199), (9590) imply:
% 257.77/65.35 | | | | | | | | | | | | | (9592) succ(n6) = all_4_78
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 257.77/65.35 | | | | | | | | | | | | | simplifying with (193), (9592) gives:
% 257.77/65.35 | | | | | | | | | | | | | (9593) all_4_78 = n7
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 257.77/65.35 | | | | | | | | | | | | | simplifying with (224), (9591) gives:
% 257.77/65.35 | | | | | | | | | | | | | (9594) all_4_76 = n5
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | REDUCE: (131), (9594) imply:
% 257.77/65.35 | | | | | | | | | | | | | (9595) sum(n5, all_4_75) = all_4_74
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | REDUCE: (130), (9593), (9594) imply:
% 257.77/65.35 | | | | | | | | | | | | | (9596) sum(n5, n7) = all_4_72
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | REDUCE: (127), (9593) imply:
% 257.77/65.35 | | | | | | | | | | | | | (9597) sum(all_4_79, n7) = all_4_77
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 257.77/65.35 | | | | | | | | | | | | | simplifying with (68), (9596) gives:
% 257.77/65.35 | | | | | | | | | | | | | (9598) all_4_72 = n1
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | REDUCE: (132), (9598) imply:
% 257.77/65.35 | | | | | | | | | | | | | (9599) sum(all_4_73, n1) = all_4_98
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | BETA: splitting (9589) gives:
% 257.77/65.35 | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | Case 1:
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | (9600) all_4_101 = n5
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (229), (9600) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9601) pred(n5) = all_4_79
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (198), (9600) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9602) succ(n5) = all_4_75
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (192), (9602) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9603) all_4_75 = n6
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (223), (9601) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9604) all_4_79 = n4
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (128), (9603), (9604) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9605) sum(n4, n6) = all_4_73
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (9597), (9604) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9606) sum(n4, n7) = all_4_77
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (9595), (9603) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9607) sum(n5, n6) = all_4_74
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (56), (9605) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9608) all_4_73 = n10
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n7, n4,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (57), (9606) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9609) all_4_77 = n0
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n6, n5,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (67), (9607) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9610) all_4_74 = n0
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (9599), (9608) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9611) sum(n10, n1) = all_4_98
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (129), (9609), (9610) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9612) sum(n0, n0) = all_4_99
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (6), (9612) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9613) all_4_99 = n0
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n1, n10,
% 257.77/65.35 | | | | | | | | | | | | | | simplifying with (117), (9611) gives:
% 257.77/65.35 | | | | | | | | | | | | | | (9614) all_4_98 = n0
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (232), (9614) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9615) pred(n0) = all_4_68
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (231), (9613) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9616) pred(n0) = all_4_71
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (201), (9614) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9617) succ(n0) = all_4_70
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REDUCE: (200), (9613) imply:
% 257.77/65.35 | | | | | | | | | | | | | | (9618) succ(n0) = all_4_67
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 257.77/65.35 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.35 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.35 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.35 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.35 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.35 | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.35 | | | | | | | | | | | | | | (179), (180), (187), (202), (203), (204), (205),
% 257.77/65.35 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 257.77/65.35 | | | | | | | | | | | | | | (213), (214), (215), (218), (233), (234), (235),
% 257.77/65.35 | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 257.77/65.35 | | | | | | | | | | | | | | (243), (244), (245), (246), (8749), (9612),
% 257.77/65.35 | | | | | | | | | | | | | | (9613), (9615), (9616), (9617), (9618) are
% 257.77/65.35 | | | | | | | | | | | | | | inconsistent by sub-proof #183.
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | Case 2:
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | (9619) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 257.77/65.35 | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | BETA: splitting (9619) gives:
% 257.77/65.35 | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | Case 1:
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | (9620) all_4_101 = n4
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (229), (9620) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9621) pred(n4) = all_4_79
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (198), (9620) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9622) succ(n4) = all_4_75
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (191), (9622) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9623) all_4_75 = n5
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (222), (9621) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9624) all_4_79 = n3
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (128), (9623), (9624) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9625) sum(n3, n5) = all_4_73
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (9597), (9624) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9626) sum(n3, n7) = all_4_77
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (9595), (9623) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9627) sum(n5, n5) = all_4_74
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (44), (9625) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9628) all_4_73 = n8
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (46), (9626) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9629) all_4_77 = n10
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (66), (9627) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9630) all_4_74 = n10
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (9599), (9628) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9631) sum(n8, n1) = all_4_98
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REDUCE: (129), (9629), (9630) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | (9632) sum(n10, n10) = all_4_99
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (95), (9631) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9633) all_4_98 = n9
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 257.77/65.35 | | | | | | | | | | | | | | | simplifying with (126), (9632) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | (9634) all_4_99 = n9
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.35 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.35 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.35 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.35 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.35 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.35 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.35 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.35 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.35 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.35 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.35 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.35 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.35 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.35 | | | | | | | | | | | | | | | (245), (246), (8749), (9632), (9633), (9634) are
% 257.77/65.35 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | Case 2:
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | (9635) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 257.77/65.35 | | | | | | | | | | | | | | | all_4_101 = n0
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | BETA: splitting (9635) gives:
% 257.77/65.35 | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | (9636) all_4_101 = n3
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (229), (9636) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9637) pred(n3) = all_4_79
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (198), (9636) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9638) succ(n3) = all_4_75
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (190), (9638) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9639) all_4_75 = n4
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (221), (9637) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9640) all_4_79 = n2
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (128), (9639), (9640) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9641) sum(n2, n4) = all_4_73
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (9597), (9640) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9642) sum(n2, n7) = all_4_77
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (9595), (9639) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9643) sum(n5, n4) = all_4_74
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (32), (9641) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9644) all_4_73 = n6
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n7, n2,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (35), (9642) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9645) all_4_77 = n9
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n4, n5,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (65), (9643) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9646) all_4_74 = n9
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (9599), (9644) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9647) sum(n6, n1) = all_4_98
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REDUCE: (129), (9645), (9646) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9648) sum(n9, n9) = all_4_99
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n1, n6,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (73), (9647) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9649) all_4_98 = n7
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.35 | | | | | | | | | | | | | | | | simplifying with (114), (9648) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | (9650) all_4_99 = n7
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.35 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.35 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.35 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.35 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.35 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.35 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.35 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.35 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.35 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.35 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.35 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.35 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.35 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.35 | | | | | | | | | | | | | | | | (245), (246), (8749), (9648), (9649), (9650) are
% 257.77/65.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | (9651) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | BETA: splitting (9651) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9652) all_4_101 = n2
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (229), (9652) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9653) pred(n2) = all_4_79
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (198), (9652) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9654) succ(n2) = all_4_75
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (189), (9654) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9655) all_4_75 = n3
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (220), (9653) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9656) all_4_79 = n1
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (128), (9655), (9656) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9657) sum(n1, n3) = all_4_73
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (9597), (9656) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9658) sum(n1, n7) = all_4_77
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (9595), (9655) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9659) sum(n5, n3) = all_4_74
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (20), (9657) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9660) all_4_73 = n4
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n7, n1,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (24), (9658) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9661) all_4_77 = n8
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n3, n5,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (64), (9659) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9662) all_4_74 = n8
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (9599), (9660) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9663) sum(n4, n1) = all_4_98
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REDUCE: (129), (9661), (9662) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9664) sum(n8, n8) = all_4_99
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n1, n4,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (51), (9663) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9665) all_4_98 = n5
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.35 | | | | | | | | | | | | | | | | | simplifying with (102), (9664) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9666) all_4_99 = n5
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.35 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9664), (9665), (9666) are
% 257.77/65.35 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | (9667) all_4_101 = n1 | all_4_101 = n0
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | BETA: splitting (9667) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9668) all_4_101 = n1
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (229), (9668) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9669) pred(n1) = all_4_79
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (198), (9668) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9670) succ(n1) = all_4_75
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (188), (9670) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9671) all_4_75 = n2
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (219), (9669) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9672) all_4_79 = n0
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (128), (9671), (9672) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9673) sum(n0, n2) = all_4_73
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (9597), (9672) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9674) sum(n0, n7) = all_4_77
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (9595), (9671) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9675) sum(n5, n2) = all_4_74
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (8), (9673) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9676) all_4_73 = n2
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n7, n0,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (13), (9674) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9677) all_4_77 = n7
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n2, n5,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (63), (9675) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9678) all_4_74 = n7
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (9599), (9676) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9679) sum(n2, n1) = all_4_98
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9677), (9678) imply:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9680) sum(n7, n7) = all_4_99
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n1, n2,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (29), (9679) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9681) all_4_98 = n3
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 257.77/65.35 | | | | | | | | | | | | | | | | | | simplifying with (90), (9680) gives:
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (9682) all_4_99 = n3
% 257.77/65.35 | | | | | | | | | | | | | | | | | |
% 257.77/65.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.35 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9680), (9681), (9682) are
% 257.77/65.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9683) all_4_101 = n0
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (229), (9683) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9684) pred(n0) = all_4_79
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (198), (9683) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9685) succ(n0) = all_4_75
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (187), (9685) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9686) all_4_75 = n1
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (218), (9684) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9687) all_4_79 = n10
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (128), (9686), (9687) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9688) sum(n10, n1) = all_4_73
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (9597), (9687) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9689) sum(n10, n7) = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (9595), (9686) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9690) sum(n5, n1) = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n1, n5,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (62), (9690) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9691) all_4_74 = n6
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (117), (9688) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9692) all_4_73 = n0
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n7, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (123), (9689) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9693) all_4_77 = n6
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (9599), (9692) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9694) sum(n0, n1) = all_4_98
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9691), (9693) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9695) sum(n6, n6) = all_4_99
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n1, n0,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (7), (9694) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9696) all_4_98 = n1
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (78), (9695) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9697) all_4_99 = n1
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9695), (9696), (9697) are
% 257.77/65.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189.
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | End of split
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | End of split
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | End of split
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | End of split
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | End of split
% 257.77/65.36 | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | Case 2:
% 257.77/65.36 | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | (9698) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 257.77/65.36 | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.36 | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | BETA: splitting (9589) gives:
% 257.77/65.36 | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | Case 1:
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | (9699) all_4_101 = n5
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | REDUCE: (229), (9699) imply:
% 257.77/65.36 | | | | | | | | | | | | | | (9700) pred(n5) = all_4_79
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | REDUCE: (198), (9699) imply:
% 257.77/65.36 | | | | | | | | | | | | | | (9701) succ(n5) = all_4_75
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 257.77/65.36 | | | | | | | | | | | | | | simplifying with (192), (9701) gives:
% 257.77/65.36 | | | | | | | | | | | | | | (9702) all_4_75 = n6
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 257.77/65.36 | | | | | | | | | | | | | | simplifying with (223), (9700) gives:
% 257.77/65.36 | | | | | | | | | | | | | | (9703) all_4_79 = n4
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | REDUCE: (131), (9702) imply:
% 257.77/65.36 | | | | | | | | | | | | | | (9704) sum(all_4_76, n6) = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | REDUCE: (128), (9702), (9703) imply:
% 257.77/65.36 | | | | | | | | | | | | | | (9705) sum(n4, n6) = all_4_73
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | REDUCE: (127), (9703) imply:
% 257.77/65.36 | | | | | | | | | | | | | | (9706) sum(n4, all_4_78) = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 257.77/65.36 | | | | | | | | | | | | | | simplifying with (56), (9705) gives:
% 257.77/65.36 | | | | | | | | | | | | | | (9707) all_4_73 = n10
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | REDUCE: (132), (9707) imply:
% 257.77/65.36 | | | | | | | | | | | | | | (9708) sum(n10, all_4_72) = all_4_98
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 257.77/65.36 | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | Case 1:
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | (9709) all_4_100 = n5
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (230), (9709) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9710) pred(n5) = all_4_76
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (199), (9709) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9711) succ(n5) = all_4_78
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 257.77/65.36 | | | | | | | | | | | | | | | simplifying with (192), (9711) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9712) all_4_78 = n6
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 257.77/65.36 | | | | | | | | | | | | | | | simplifying with (223), (9710) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9713) all_4_76 = n4
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (130), (9712), (9713) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9714) sum(n4, n6) = all_4_72
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (9704), (9713) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9715) sum(n4, n6) = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (9706), (9712) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9716) sum(n4, n6) = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | simplifying with (56), (9715) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9717) all_4_74 = n10
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | simplifying with (9714), (9715) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9718) all_4_72 = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | simplifying with (9714), (9716) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9719) all_4_72 = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | COMBINE_EQS: (9718), (9719) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9720) all_4_74 = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | SIMP: (9720) implies:
% 257.77/65.36 | | | | | | | | | | | | | | | (9721) all_4_74 = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | COMBINE_EQS: (9717), (9721) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9722) all_4_77 = n10
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | COMBINE_EQS: (9719), (9722) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9723) all_4_72 = n10
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (129), (9717), (9722) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9724) sum(n10, n10) = all_4_99
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REDUCE: (9708), (9723) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9725) sum(n10, n10) = all_4_98
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | simplifying with (126), (9725) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9726) all_4_98 = n9
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | n10, simplifying with (9724), (9725) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | (9727) all_4_98 = all_4_99
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | COMBINE_EQS: (9726), (9727) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | (9728) all_4_99 = n9
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | SIMP: (9728) implies:
% 257.77/65.36 | | | | | | | | | | | | | | | (9729) all_4_99 = n9
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.36 | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 257.77/65.36 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.36 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.36 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.36 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.36 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.36 | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.36 | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.36 | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.36 | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.36 | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.36 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.36 | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.36 | | | | | | | | | | | | | | | (245), (246), (8749), (9724), (9726), (9729) are
% 257.77/65.36 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | Case 2:
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | (9730) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 257.77/65.36 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | BETA: splitting (9730) gives:
% 257.77/65.36 | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | Case 1:
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | (9731) all_4_100 = n4
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (230), (9731) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9732) pred(n4) = all_4_76
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (199), (9731) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9733) succ(n4) = all_4_78
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (191), (9733) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9734) all_4_78 = n5
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (222), (9732) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9735) all_4_76 = n3
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (130), (9734), (9735) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9736) sum(n3, n5) = all_4_72
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (9704), (9735) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9737) sum(n3, n6) = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (9706), (9734) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9738) sum(n4, n5) = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (44), (9736) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9739) all_4_72 = n8
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n6, n3,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (45), (9737) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9740) all_4_74 = n9
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n5, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (55), (9738) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9741) all_4_77 = n9
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (129), (9740), (9741) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9742) sum(n9, n9) = all_4_99
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REDUCE: (9708), (9739) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9743) sum(n10, n8) = all_4_98
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (114), (9742) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9744) all_4_99 = n7
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n8, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | | simplifying with (124), (9743) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | (9745) all_4_98 = n7
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 257.77/65.36 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 257.77/65.36 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.36 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.36 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.36 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.36 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.36 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.36 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 257.77/65.36 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.36 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.36 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 257.77/65.36 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.36 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.36 | | | | | | | | | | | | | | | | (245), (246), (8749), (9742), (9744), (9745) are
% 257.77/65.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | Case 2:
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | (9746) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 257.77/65.36 | | | | | | | | | | | | | | | | all_4_100 = n0
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | BETA: splitting (9746) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9747) all_4_100 = n3
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (230), (9747) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9748) pred(n3) = all_4_76
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (199), (9747) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9749) succ(n3) = all_4_78
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (190), (9749) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9750) all_4_78 = n4
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (221), (9748) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9751) all_4_76 = n2
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (130), (9750), (9751) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9752) sum(n2, n4) = all_4_72
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (9704), (9751) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9753) sum(n2, n6) = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (9706), (9750) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9754) sum(n4, n4) = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (32), (9752) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9755) all_4_72 = n6
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n6, n2,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (34), (9753) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9756) all_4_74 = n8
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n4, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (54), (9754) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9757) all_4_77 = n8
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (129), (9756), (9757) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9758) sum(n8, n8) = all_4_99
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REDUCE: (9708), (9755) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9759) sum(n10, n6) = all_4_98
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (102), (9758) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9760) all_4_99 = n5
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n6, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | | | simplifying with (122), (9759) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9761) all_4_98 = n5
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 257.77/65.36 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9758), (9760), (9761) are
% 257.77/65.36 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | Case 2:
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | (9762) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | BETA: splitting (9762) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | Case 1:
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9763) all_4_100 = n2
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (230), (9763) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9764) pred(n2) = all_4_76
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (199), (9763) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9765) succ(n2) = all_4_78
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (189), (9765) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9766) all_4_78 = n3
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (220), (9764) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9767) all_4_76 = n1
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (130), (9766), (9767) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9768) sum(n1, n3) = all_4_72
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (9704), (9767) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9769) sum(n1, n6) = all_4_74
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (9706), (9766) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9770) sum(n4, n3) = all_4_77
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (20), (9768) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9771) all_4_72 = n4
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n6, n1,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (23), (9769) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9772) all_4_74 = n7
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n3, n4,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (53), (9770) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9773) all_4_77 = n7
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9772), (9773) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9774) sum(n7, n7) = all_4_99
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | REDUCE: (9708), (9771) imply:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9775) sum(n10, n4) = all_4_98
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (90), (9774) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9776) all_4_99 = n3
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 257.77/65.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n4, n10,
% 257.77/65.36 | | | | | | | | | | | | | | | | | | simplifying with (120), (9775) gives:
% 257.77/65.36 | | | | | | | | | | | | | | | | | | (9777) all_4_98 = n3
% 257.77/65.36 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9774), (9776), (9777) are
% 258.07/65.37 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9778) all_4_100 = n1 | all_4_100 = n0
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | BETA: splitting (9778) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9779) all_4_100 = n1
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (9779) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9780) pred(n1) = all_4_76
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (9779) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9781) succ(n1) = all_4_78
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (188), (9781) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9782) all_4_78 = n2
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (219), (9780) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9783) all_4_76 = n0
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (9782), (9783) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9784) sum(n0, n2) = all_4_72
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (9704), (9783) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9785) sum(n0, n6) = all_4_74
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (9706), (9782) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9786) sum(n4, n2) = all_4_77
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (8), (9784) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9787) all_4_72 = n2
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n6, n0,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (12), (9785) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9788) all_4_74 = n6
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n2, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (52), (9786) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9789) all_4_77 = n6
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9788), (9789) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9790) sum(n6, n6) = all_4_99
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (9708), (9787) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9791) sum(n10, n2) = all_4_98
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (78), (9790) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9792) all_4_99 = n1
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n2, n10,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (118), (9791) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9793) all_4_98 = n1
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9790), (9792), (9793) are
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189.
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9794) all_4_100 = n0
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (9794) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9795) pred(n0) = all_4_76
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (9794) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9796) succ(n0) = all_4_78
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (187), (9796) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9797) all_4_78 = n1
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (218), (9795) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9798) all_4_76 = n10
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (9797), (9798) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9799) sum(n10, n1) = all_4_72
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (9704), (9798) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9800) sum(n10, n6) = all_4_74
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (9706), (9797) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9801) sum(n4, n1) = all_4_77
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n1, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (51), (9801) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9802) all_4_77 = n5
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (117), (9799) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9803) all_4_72 = n0
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n6, n10,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (122), (9800) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9804) all_4_74 = n5
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9802), (9804) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9805) sum(n5, n5) = all_4_99
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REDUCE: (9708), (9803) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9806) sum(n10, n0) = all_4_98
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (66), (9805) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9807) all_4_99 = n10
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n0, n10,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | simplifying with (116), (9806) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (9808) all_4_98 = n10
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9805), (9807), (9808) are
% 258.07/65.37 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 258.07/65.37 | | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | End of split
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | End of split
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | End of split
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | End of split
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | End of split
% 258.07/65.37 | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | Case 2:
% 258.07/65.37 | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | (9809) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.07/65.37 | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.07/65.37 | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 258.07/65.37 | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | Case 1:
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | (9810) all_4_100 = n5
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | REDUCE: (230), (9810) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | (9811) pred(n5) = all_4_76
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | REDUCE: (199), (9810) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | (9812) succ(n5) = all_4_78
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.07/65.37 | | | | | | | | | | | | | | | simplifying with (192), (9812) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | (9813) all_4_78 = n6
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.07/65.37 | | | | | | | | | | | | | | | simplifying with (223), (9811) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | (9814) all_4_76 = n4
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | REDUCE: (131), (9814) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | (9815) sum(n4, all_4_75) = all_4_74
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | REDUCE: (130), (9813), (9814) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | (9816) sum(n4, n6) = all_4_72
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | REDUCE: (127), (9813) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | (9817) sum(all_4_79, n6) = all_4_77
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | simplifying with (56), (9816) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | (9818) all_4_72 = n10
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | REDUCE: (132), (9818) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | (9819) sum(all_4_73, n10) = all_4_98
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | BETA: splitting (9809) gives:
% 258.07/65.37 | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | Case 1:
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | (9820) all_4_101 = n4
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (229), (9820) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9821) pred(n4) = all_4_79
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (198), (9820) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9822) succ(n4) = all_4_75
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (191), (9822) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9823) all_4_75 = n5
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (222), (9821) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9824) all_4_79 = n3
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (128), (9823), (9824) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9825) sum(n3, n5) = all_4_73
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (9817), (9824) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9826) sum(n3, n6) = all_4_77
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (9815), (9823) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9827) sum(n4, n5) = all_4_74
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (44), (9825) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9828) all_4_73 = n8
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (45), (9826) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9829) all_4_77 = n9
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (55), (9827) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9830) all_4_74 = n9
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (9819), (9828) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9831) sum(n8, n10) = all_4_98
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REDUCE: (129), (9829), (9830) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9832) sum(n9, n9) = all_4_99
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (104), (9831) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9833) all_4_98 = n7
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.07/65.37 | | | | | | | | | | | | | | | | simplifying with (114), (9832) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | (9834) all_4_99 = n7
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.07/65.37 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.07/65.37 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.37 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.37 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.37 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.37 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.37 | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.37 | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.07/65.37 | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.37 | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.37 | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.07/65.37 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.37 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.37 | | | | | | | | | | | | | | | | (245), (246), (8749), (9832), (9833), (9834) are
% 258.07/65.37 | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | Case 2:
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | (9835) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.07/65.37 | | | | | | | | | | | | | | | | all_4_101 = n0
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | BETA: splitting (9835) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9836) all_4_101 = n3
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (229), (9836) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9837) pred(n3) = all_4_79
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (198), (9836) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9838) succ(n3) = all_4_75
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (190), (9838) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9839) all_4_75 = n4
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (221), (9837) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9840) all_4_79 = n2
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (128), (9839), (9840) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9841) sum(n2, n4) = all_4_73
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (9817), (9840) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9842) sum(n2, n6) = all_4_77
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (9815), (9839) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9843) sum(n4, n4) = all_4_74
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (32), (9841) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9844) all_4_73 = n6
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (34), (9842) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9845) all_4_77 = n8
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (54), (9843) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9846) all_4_74 = n8
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (9819), (9844) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9847) sum(n6, n10) = all_4_98
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REDUCE: (129), (9845), (9846) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9848) sum(n8, n8) = all_4_99
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (82), (9847) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9849) all_4_98 = n5
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.07/65.37 | | | | | | | | | | | | | | | | | simplifying with (102), (9848) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9850) all_4_99 = n5
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.37 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9848), (9849), (9850) are
% 258.07/65.37 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | (9851) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | BETA: splitting (9851) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9852) all_4_101 = n2
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (229), (9852) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9853) pred(n2) = all_4_79
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (198), (9852) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9854) succ(n2) = all_4_75
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (189), (9854) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9855) all_4_75 = n3
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (220), (9853) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9856) all_4_79 = n1
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (128), (9855), (9856) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9857) sum(n1, n3) = all_4_73
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (9817), (9856) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9858) sum(n1, n6) = all_4_77
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (9815), (9855) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9859) sum(n4, n3) = all_4_74
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (20), (9857) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9860) all_4_73 = n4
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (23), (9858) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9861) all_4_77 = n7
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (53), (9859) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9862) all_4_74 = n7
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (9819), (9860) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9863) sum(n4, n10) = all_4_98
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9861), (9862) imply:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9864) sum(n7, n7) = all_4_99
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (60), (9863) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9865) all_4_98 = n3
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 258.07/65.37 | | | | | | | | | | | | | | | | | | simplifying with (90), (9864) gives:
% 258.07/65.37 | | | | | | | | | | | | | | | | | | (9866) all_4_99 = n3
% 258.07/65.37 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9864), (9865), (9866) are
% 258.07/65.38 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9867) all_4_101 = n1 | all_4_101 = n0
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | BETA: splitting (9867) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9868) all_4_101 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (9868) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9869) pred(n1) = all_4_79
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (9868) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9870) succ(n1) = all_4_75
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (188), (9870) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9871) all_4_75 = n2
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (219), (9869) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9872) all_4_79 = n0
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9871), (9872) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9873) sum(n0, n2) = all_4_73
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9817), (9872) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9874) sum(n0, n6) = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9815), (9871) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9875) sum(n4, n2) = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (8), (9873) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9876) all_4_73 = n2
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (12), (9874) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9877) all_4_77 = n6
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (52), (9875) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9878) all_4_74 = n6
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9819), (9876) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9879) sum(n2, n10) = all_4_98
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9877), (9878) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9880) sum(n6, n6) = all_4_99
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (38), (9879) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9881) all_4_98 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (78), (9880) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9882) all_4_99 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9880), (9881), (9882) are
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189.
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9883) all_4_101 = n0
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (9883) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9884) pred(n0) = all_4_79
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (9883) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9885) succ(n0) = all_4_75
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (187), (9885) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9886) all_4_75 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (218), (9884) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9887) all_4_79 = n10
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9886), (9887) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9888) sum(n10, n1) = all_4_73
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9817), (9887) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9889) sum(n10, n6) = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9815), (9886) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9890) sum(n4, n1) = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (51), (9890) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9891) all_4_74 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (117), (9888) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9892) all_4_73 = n0
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (122), (9889) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9893) all_4_77 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9819), (9892) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9894) sum(n0, n10) = all_4_98
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9891), (9893) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9895) sum(n5, n5) = all_4_99
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (16), (9894) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9896) all_4_98 = n10
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (66), (9895) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9897) all_4_99 = n10
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9895), (9896), (9897) are
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | End of split
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | End of split
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | End of split
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | End of split
% 258.07/65.38 | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | Case 2:
% 258.07/65.38 | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | (9898) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.07/65.38 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.07/65.38 | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | BETA: splitting (9809) gives:
% 258.07/65.38 | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | Case 1:
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | (9899) all_4_101 = n4
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | REDUCE: (229), (9899) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9900) pred(n4) = all_4_79
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | REDUCE: (198), (9899) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9901) succ(n4) = all_4_75
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.07/65.38 | | | | | | | | | | | | | | | | simplifying with (191), (9901) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9902) all_4_75 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.07/65.38 | | | | | | | | | | | | | | | | simplifying with (222), (9900) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9903) all_4_79 = n3
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | REDUCE: (131), (9902) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9904) sum(all_4_76, n5) = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | REDUCE: (128), (9902), (9903) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9905) sum(n3, n5) = all_4_73
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | REDUCE: (127), (9903) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9906) sum(n3, all_4_78) = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | simplifying with (44), (9905) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9907) all_4_73 = n8
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | REDUCE: (132), (9907) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | (9908) sum(n8, all_4_72) = all_4_98
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | BETA: splitting (9898) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9909) all_4_100 = n4
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (230), (9909) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9910) pred(n4) = all_4_76
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (199), (9909) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9911) succ(n4) = all_4_78
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (191), (9911) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9912) all_4_78 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (222), (9910) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9913) all_4_76 = n3
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (130), (9912), (9913) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9914) sum(n3, n5) = all_4_72
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (9904), (9913) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9915) sum(n3, n5) = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (9906), (9912) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9916) sum(n3, n5) = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (44), (9915) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9917) all_4_74 = n8
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (9914), (9915) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9918) all_4_72 = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (9914), (9916) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9919) all_4_72 = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (9918), (9919) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9920) all_4_74 = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | SIMP: (9920) implies:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9921) all_4_74 = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (9917), (9921) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9922) all_4_77 = n8
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (9919), (9922) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9923) all_4_72 = n8
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (129), (9917), (9922) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9924) sum(n8, n8) = all_4_99
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REDUCE: (9908), (9923) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9925) sum(n8, n8) = all_4_98
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (102), (9925) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9926) all_4_98 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 258.07/65.38 | | | | | | | | | | | | | | | | | simplifying with (9924), (9925) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9927) all_4_98 = all_4_99
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (9926), (9927) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9928) all_4_99 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | SIMP: (9928) implies:
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9929) all_4_99 = n5
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.38 | | | | | | | | | | | | | | | | | (245), (246), (8749), (9924), (9926), (9929) are
% 258.07/65.38 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | (9930) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.07/65.38 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | BETA: splitting (9930) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9931) all_4_100 = n3
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (230), (9931) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9932) pred(n3) = all_4_76
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (199), (9931) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9933) succ(n3) = all_4_78
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (190), (9933) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9934) all_4_78 = n4
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (221), (9932) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9935) all_4_76 = n2
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (130), (9934), (9935) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9936) sum(n2, n4) = all_4_72
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (9904), (9935) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9937) sum(n2, n5) = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (9906), (9934) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9938) sum(n3, n4) = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (32), (9936) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9939) all_4_72 = n6
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (33), (9937) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9940) all_4_74 = n7
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (43), (9938) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9941) all_4_77 = n7
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (129), (9940), (9941) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9942) sum(n7, n7) = all_4_99
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REDUCE: (9908), (9939) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9943) sum(n8, n6) = all_4_98
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (90), (9942) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9944) all_4_99 = n3
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | simplifying with (100), (9943) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9945) all_4_98 = n3
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9942), (9944), (9945) are
% 258.07/65.38 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | (9946) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | BETA: splitting (9946) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9947) all_4_100 = n2
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (9947) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9948) pred(n2) = all_4_76
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (9947) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9949) succ(n2) = all_4_78
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (189), (9949) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9950) all_4_78 = n3
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (220), (9948) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9951) all_4_76 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (9950), (9951) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9952) sum(n1, n3) = all_4_72
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9904), (9951) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9953) sum(n1, n5) = all_4_74
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9906), (9950) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9954) sum(n3, n3) = all_4_77
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (20), (9952) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9955) all_4_72 = n4
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (22), (9953) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9956) all_4_74 = n6
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (42), (9954) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9957) all_4_77 = n6
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9956), (9957) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9958) sum(n6, n6) = all_4_99
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | REDUCE: (9908), (9955) imply:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9959) sum(n8, n4) = all_4_98
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (78), (9958) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9960) all_4_99 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | simplifying with (98), (9959) gives:
% 258.07/65.38 | | | | | | | | | | | | | | | | | | | (9961) all_4_98 = n1
% 258.07/65.38 | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9958), (9960), (9961) are
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189.
% 258.07/65.39 | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | (9962) all_4_100 = n1 | all_4_100 = n0
% 258.07/65.39 | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (9962) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9963) all_4_100 = n1
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (9963) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9964) pred(n1) = all_4_76
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (9963) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9965) succ(n1) = all_4_78
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (9965) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9966) all_4_78 = n2
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (9964) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9967) all_4_76 = n0
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (9966), (9967) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9968) sum(n0, n2) = all_4_72
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9904), (9967) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9969) sum(n0, n5) = all_4_74
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9906), (9966) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9970) sum(n3, n2) = all_4_77
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (9968) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9971) all_4_72 = n2
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (11), (9969) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9972) all_4_74 = n5
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (41), (9970) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9973) all_4_77 = n5
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9972), (9973) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9974) sum(n5, n5) = all_4_99
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9908), (9971) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9975) sum(n8, n2) = all_4_98
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (9974) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9976) all_4_99 = n10
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (96), (9975) gives:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9977) all_4_98 = n10
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9974), (9976), (9977) are
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9978) all_4_100 = n0
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (9978) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9979) pred(n0) = all_4_76
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (9978) imply:
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | (9980) succ(n0) = all_4_78
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.07/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (9980) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9981) all_4_78 = n1
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (9979) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9982) all_4_76 = n10
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (9981), (9982) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9983) sum(n10, n1) = all_4_72
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9904), (9982) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9984) sum(n10, n5) = all_4_74
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9906), (9981) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9985) sum(n3, n1) = all_4_77
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (40), (9985) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9986) all_4_77 = n4
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9983) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9987) all_4_72 = n0
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (121), (9984) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9988) all_4_74 = n4
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9986), (9988) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9989) sum(n4, n4) = all_4_99
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9908), (9987) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9990) sum(n8, n0) = all_4_98
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (9989) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9991) all_4_99 = n8
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (94), (9990) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (9992) all_4_98 = n8
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (9989), (9991), (9992) are
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | End of split
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | End of split
% 258.15/65.39 | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | Case 2:
% 258.15/65.39 | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | (9993) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.15/65.39 | | | | | | | | | | | | | | | | all_4_101 = n0
% 258.15/65.39 | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | BETA: splitting (9898) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | (9994) all_4_100 = n4
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | REDUCE: (230), (9994) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (9995) pred(n4) = all_4_76
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | REDUCE: (199), (9994) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (9996) succ(n4) = all_4_78
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.15/65.39 | | | | | | | | | | | | | | | | | simplifying with (191), (9996) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (9997) all_4_78 = n5
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.15/65.39 | | | | | | | | | | | | | | | | | simplifying with (222), (9995) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (9998) all_4_76 = n3
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | REDUCE: (131), (9998) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (9999) sum(n3, all_4_75) = all_4_74
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | REDUCE: (130), (9997), (9998) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (10000) sum(n3, n5) = all_4_72
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | REDUCE: (127), (9997) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (10001) sum(all_4_79, n5) = all_4_77
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | simplifying with (44), (10000) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (10002) all_4_72 = n8
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | REDUCE: (132), (10002) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | (10003) sum(all_4_73, n8) = all_4_98
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | BETA: splitting (9993) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10004) all_4_101 = n3
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (229), (10004) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10005) pred(n3) = all_4_79
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (198), (10004) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10006) succ(n3) = all_4_75
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (190), (10006) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10007) all_4_75 = n4
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (221), (10005) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10008) all_4_79 = n2
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (128), (10007), (10008) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10009) sum(n2, n4) = all_4_73
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (10001), (10008) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10010) sum(n2, n5) = all_4_77
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10007) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10011) sum(n3, n4) = all_4_74
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (32), (10009) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10012) all_4_73 = n6
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (33), (10010) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10013) all_4_77 = n7
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (43), (10011) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10014) all_4_74 = n7
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (10003), (10012) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10015) sum(n6, n8) = all_4_98
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REDUCE: (129), (10013), (10014) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10016) sum(n7, n7) = all_4_99
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (80), (10015) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10017) all_4_98 = n3
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | simplifying with (90), (10016) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10018) all_4_99 = n3
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10016), (10017), (10018)
% 258.15/65.39 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #190.
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | (10019) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | BETA: splitting (10019) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10020) all_4_101 = n2
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10020) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10021) pred(n2) = all_4_79
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10020) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10022) succ(n2) = all_4_75
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (189), (10022) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10023) all_4_75 = n3
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (220), (10021) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10024) all_4_79 = n1
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10023), (10024) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10025) sum(n1, n3) = all_4_73
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (10001), (10024) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10026) sum(n1, n5) = all_4_77
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10023) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10027) sum(n3, n3) = all_4_74
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (20), (10025) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10028) all_4_73 = n4
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (22), (10026) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10029) all_4_77 = n6
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (42), (10027) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10030) all_4_74 = n6
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (10003), (10028) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10031) sum(n4, n8) = all_4_98
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10029), (10030) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10032) sum(n6, n6) = all_4_99
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (58), (10031) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10033) all_4_98 = n1
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | simplifying with (78), (10032) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10034) all_4_99 = n1
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10032), (10033), (10034)
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #189.
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | (10035) all_4_101 = n1 | all_4_101 = n0
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (10035) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10036) all_4_101 = n1
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10036) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10037) pred(n1) = all_4_79
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10036) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10038) succ(n1) = all_4_75
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10038) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10039) all_4_75 = n2
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10037) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10040) all_4_79 = n0
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10039), (10040) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10041) sum(n0, n2) = all_4_73
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (10001), (10040) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10042) sum(n0, n5) = all_4_77
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10039) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10043) sum(n3, n2) = all_4_74
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10041) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10044) all_4_73 = n2
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (11), (10042) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10045) all_4_77 = n5
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (41), (10043) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10046) all_4_74 = n5
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (10003), (10044) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10047) sum(n2, n8) = all_4_98
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10045), (10046) imply:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10048) sum(n5, n5) = all_4_99
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (36), (10047) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10049) all_4_98 = n10
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (10048) gives:
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | | (10050) all_4_99 = n10
% 258.15/65.39 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10048), (10049), (10050)
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10051) all_4_101 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10051) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10052) pred(n0) = all_4_79
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10051) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10053) succ(n0) = all_4_75
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10053) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10054) all_4_75 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10052) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10055) all_4_79 = n10
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10054), (10055) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10056) sum(n10, n1) = all_4_73
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (10001), (10055) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10057) sum(n10, n5) = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10054) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10058) sum(n3, n1) = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (40), (10058) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10059) all_4_74 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10056) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10060) all_4_73 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (121), (10057) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10061) all_4_77 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (10003), (10060) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10062) sum(n0, n8) = all_4_98
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10059), (10061) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10063) sum(n4, n4) = all_4_99
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (14), (10062) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10064) all_4_98 = n8
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (10063) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10065) all_4_99 = n8
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10063), (10064), (10065)
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #187.
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | End of split
% 258.15/65.40 | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.40 | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | (10066) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.15/65.40 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | BETA: splitting (9993) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10067) all_4_101 = n3
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | REDUCE: (229), (10067) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10068) pred(n3) = all_4_79
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | REDUCE: (198), (10067) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10069) succ(n3) = all_4_75
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | simplifying with (190), (10069) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10070) all_4_75 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | simplifying with (221), (10068) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10071) all_4_79 = n2
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | REDUCE: (131), (10070) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10072) sum(all_4_76, n4) = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | REDUCE: (128), (10070), (10071) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10073) sum(n2, n4) = all_4_73
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | REDUCE: (127), (10071) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10074) sum(n2, all_4_78) = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | simplifying with (32), (10073) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10075) all_4_73 = n6
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | REDUCE: (132), (10075) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | (10076) sum(n6, all_4_72) = all_4_98
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | BETA: splitting (10066) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10077) all_4_100 = n3
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10077) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10078) pred(n3) = all_4_76
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10077) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10079) succ(n3) = all_4_78
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (190), (10079) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10080) all_4_78 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (221), (10078) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10081) all_4_76 = n2
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10080), (10081) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10082) sum(n2, n4) = all_4_72
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (10072), (10081) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10083) sum(n2, n4) = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (10074), (10080) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10084) sum(n2, n4) = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (32), (10083) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10085) all_4_74 = n6
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (10082), (10083) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10086) all_4_72 = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (10082), (10084) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10087) all_4_72 = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10086), (10087) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10088) all_4_74 = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | SIMP: (10088) implies:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10089) all_4_74 = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10085), (10089) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10090) all_4_77 = n6
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10087), (10090) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10091) all_4_72 = n6
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10085), (10090) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10092) sum(n6, n6) = all_4_99
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REDUCE: (10076), (10091) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10093) sum(n6, n6) = all_4_98
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (78), (10093) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10094) all_4_98 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | simplifying with (10092), (10093) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10095) all_4_98 = all_4_99
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10094), (10095) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10096) all_4_99 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | SIMP: (10096) implies:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10097) all_4_99 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10092), (10094), (10097)
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #189.
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | (10098) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (10098) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10099) all_4_100 = n2
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10099) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10100) pred(n2) = all_4_76
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10099) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10101) succ(n2) = all_4_78
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (10101) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10102) all_4_78 = n3
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (10100) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10103) all_4_76 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10102), (10103) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10104) sum(n1, n3) = all_4_72
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (10072), (10103) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10105) sum(n1, n4) = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (10074), (10102) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10106) sum(n2, n3) = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (10104) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10107) all_4_72 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (10105) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10108) all_4_74 = n5
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (31), (10106) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10109) all_4_77 = n5
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10108), (10109) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10110) sum(n5, n5) = all_4_99
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (10076), (10107) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10111) sum(n6, n4) = all_4_98
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (10110) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10112) all_4_99 = n10
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | simplifying with (76), (10111) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10113) all_4_98 = n10
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10110), (10112), (10113)
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | (10114) all_4_100 = n1 | all_4_100 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10114) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10115) all_4_100 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10115) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10116) pred(n1) = all_4_76
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10115) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10117) succ(n1) = all_4_78
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10117) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10118) all_4_78 = n2
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10116) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10119) all_4_76 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10118), (10119) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10120) sum(n0, n2) = all_4_72
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10072), (10119) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10121) sum(n0, n4) = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10074), (10118) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10122) sum(n2, n2) = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10120) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10123) all_4_72 = n2
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (10121) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10124) all_4_74 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (10122) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10125) all_4_77 = n4
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10124), (10125) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10126) sum(n4, n4) = all_4_99
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10076), (10123) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10127) sum(n6, n2) = all_4_98
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (10126) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10128) all_4_99 = n8
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (10127) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10129) all_4_98 = n8
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10126), (10128), (10129)
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #187.
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10130) all_4_100 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10130) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10131) pred(n0) = all_4_76
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10130) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10132) succ(n0) = all_4_78
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10132) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10133) all_4_78 = n1
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10131) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10134) all_4_76 = n10
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10133), (10134) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10135) sum(n10, n1) = all_4_72
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10072), (10134) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10136) sum(n10, n4) = all_4_74
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10074), (10133) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10137) sum(n2, n1) = all_4_77
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (10137) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10138) all_4_77 = n3
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10135) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10139) all_4_72 = n0
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (10136) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10140) all_4_74 = n3
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10138), (10140) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10141) sum(n3, n3) = all_4_99
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10076), (10139) imply:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10142) sum(n6, n0) = all_4_98
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (10141) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10143) all_4_99 = n6
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (10142) gives:
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | | (10144) all_4_98 = n6
% 258.15/65.40 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10141), (10143), (10144)
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.41 | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.41 | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | (10145) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | BETA: splitting (10066) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10146) all_4_100 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10146) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10147) pred(n3) = all_4_76
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10146) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10148) succ(n3) = all_4_78
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | simplifying with (190), (10148) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10149) all_4_78 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | simplifying with (221), (10147) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10150) all_4_76 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (10150) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10151) sum(n2, all_4_75) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10149), (10150) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10152) sum(n2, n4) = all_4_72
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (10149) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10153) sum(all_4_79, n4) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | simplifying with (32), (10152) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10154) all_4_72 = n6
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (10154) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10155) sum(all_4_73, n6) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (10145) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10156) all_4_101 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10156) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10157) pred(n2) = all_4_79
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10156) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10158) succ(n2) = all_4_75
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (10158) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10159) all_4_75 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (10157) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10160) all_4_79 = n1
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10159), (10160) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10161) sum(n1, n3) = all_4_73
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (10153), (10160) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10162) sum(n1, n4) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (10151), (10159) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10163) sum(n2, n3) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (10161) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10164) all_4_73 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (10162) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10165) all_4_77 = n5
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (31), (10163) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10166) all_4_74 = n5
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (10155), (10164) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10167) sum(n4, n6) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10165), (10166) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10168) sum(n5, n5) = all_4_99
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (56), (10167) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10169) all_4_98 = n10
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (10168) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10170) all_4_99 = n10
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10168), (10169), (10170)
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10171) all_4_101 = n1 | all_4_101 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10171) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10172) all_4_101 = n1
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10172) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10173) pred(n1) = all_4_79
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10172) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10174) succ(n1) = all_4_75
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10174) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10175) all_4_75 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10173) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10176) all_4_79 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10175), (10176) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10177) sum(n0, n2) = all_4_73
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10153), (10176) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10178) sum(n0, n4) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10151), (10175) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10179) sum(n2, n2) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10177) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10180) all_4_73 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (10178) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10181) all_4_77 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (10179) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10182) all_4_74 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10155), (10180) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10183) sum(n2, n6) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10181), (10182) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10184) sum(n4, n4) = all_4_99
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (10183) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10185) all_4_98 = n8
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (10184) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10186) all_4_99 = n8
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10184), (10185), (10186)
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #187.
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10187) all_4_101 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10187) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10188) pred(n0) = all_4_79
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10187) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10189) succ(n0) = all_4_75
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10189) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10190) all_4_75 = n1
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10188) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10191) all_4_79 = n10
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10190), (10191) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10192) sum(n10, n1) = all_4_73
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10153), (10191) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10193) sum(n10, n4) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10151), (10190) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10194) sum(n2, n1) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (10194) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10195) all_4_74 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10192) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10196) all_4_73 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (10193) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10197) all_4_77 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10155), (10196) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10198) sum(n0, n6) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10195), (10197) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10199) sum(n3, n3) = all_4_99
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (10198) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10200) all_4_98 = n6
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (10199) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10201) all_4_99 = n6
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10199), (10200), (10201)
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | (10202) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (10145) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10203) all_4_101 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10203) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10204) pred(n2) = all_4_79
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10203) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10205) succ(n2) = all_4_75
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (10205) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10206) all_4_75 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (10204) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10207) all_4_79 = n1
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (10206) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10208) sum(all_4_76, n3) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10206), (10207) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10209) sum(n1, n3) = all_4_73
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (10207) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10210) sum(n1, all_4_78) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (10209) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10211) all_4_73 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (10211) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | (10212) sum(n4, all_4_72) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10202) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10213) all_4_100 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10213) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10214) pred(n2) = all_4_76
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10213) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10215) succ(n2) = all_4_78
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (10215) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10216) all_4_78 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (10214) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10217) all_4_76 = n1
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10216), (10217) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10218) sum(n1, n3) = all_4_72
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10208), (10217) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10219) sum(n1, n3) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10210), (10216) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10220) sum(n1, n3) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (10219) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10221) all_4_74 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (10218), (10219) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10222) all_4_72 = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (10218), (10220) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10223) all_4_72 = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10222), (10223) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10224) all_4_74 = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | SIMP: (10224) implies:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10225) all_4_74 = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10221), (10225) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10226) all_4_77 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10223), (10226) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10227) all_4_72 = n4
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10221), (10226) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10228) sum(n4, n4) = all_4_99
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10212), (10227) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10229) sum(n4, n4) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (10229) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10230) all_4_98 = n8
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (10228), (10229) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10231) all_4_98 = all_4_99
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10230), (10231) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10232) all_4_99 = n8
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | SIMP: (10232) implies:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10233) all_4_99 = n8
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10228), (10230), (10233)
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #187.
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | (10234) all_4_100 = n1 | all_4_100 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10235) all_4_100 = n1
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10235) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10236) pred(n1) = all_4_76
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10235) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10237) succ(n1) = all_4_78
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10237) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10238) all_4_78 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10236) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10239) all_4_76 = n0
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10238), (10239) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10240) sum(n0, n2) = all_4_72
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10208), (10239) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10241) sum(n0, n3) = all_4_74
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10210), (10238) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10242) sum(n1, n2) = all_4_77
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10240) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10243) all_4_72 = n2
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (10241) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10244) all_4_74 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (10242) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10245) all_4_77 = n3
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10244), (10245) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10246) sum(n3, n3) = all_4_99
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10212), (10243) imply:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10247) sum(n4, n2) = all_4_98
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (10246) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10248) all_4_99 = n6
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (10247) gives:
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | | (10249) all_4_98 = n6
% 258.15/65.41 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10246), (10248), (10249)
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10250) all_4_100 = n0
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10250) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10251) pred(n0) = all_4_76
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10250) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10252) succ(n0) = all_4_78
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10252) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10253) all_4_78 = n1
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10251) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10254) all_4_76 = n10
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10253), (10254) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10255) sum(n10, n1) = all_4_72
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10208), (10254) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10256) sum(n10, n3) = all_4_74
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10210), (10253) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10257) sum(n1, n1) = all_4_77
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (10257) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10258) all_4_77 = n2
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10255) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10259) all_4_72 = n0
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (10256) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10260) all_4_74 = n2
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10258), (10260) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10261) sum(n2, n2) = all_4_99
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10212), (10259) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10262) sum(n4, n0) = all_4_98
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (10261) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10263) all_4_99 = n4
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (10262) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10264) all_4_98 = n4
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10261), (10263), (10264)
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #185.
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | End of split
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | (10265) all_4_101 = n1 | all_4_101 = n0
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10202) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10266) all_4_100 = n2
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10266) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10267) pred(n2) = all_4_76
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10266) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10268) succ(n2) = all_4_78
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (10268) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10269) all_4_78 = n3
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (10267) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10270) all_4_76 = n1
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (10270) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10271) sum(n1, all_4_75) = all_4_74
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10269), (10270) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10272) sum(n1, n3) = all_4_72
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (10269) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10273) sum(all_4_79, n3) = all_4_77
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (10272) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10274) all_4_72 = n4
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (10274) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | (10275) sum(all_4_73, n4) = all_4_98
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10265) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10276) all_4_101 = n1
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10276) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10277) pred(n1) = all_4_79
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10276) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10278) succ(n1) = all_4_75
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10278) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10279) all_4_75 = n2
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10277) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10280) all_4_79 = n0
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10279), (10280) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10281) sum(n0, n2) = all_4_73
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10273), (10280) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10282) sum(n0, n3) = all_4_77
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10271), (10279) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10283) sum(n1, n2) = all_4_74
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10281) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10284) all_4_73 = n2
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (10282) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10285) all_4_77 = n3
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (10283) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10286) all_4_74 = n3
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10275), (10284) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10287) sum(n2, n4) = all_4_98
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10285), (10286) imply:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10288) sum(n3, n3) = all_4_99
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (10287) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10289) all_4_98 = n6
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (10288) gives:
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (10290) all_4_99 = n6
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.15/65.42 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10288), (10289), (10290)
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10291) all_4_101 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10291) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10292) pred(n0) = all_4_79
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10291) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10293) succ(n0) = all_4_75
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10293) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10294) all_4_75 = n1
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10292) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10295) all_4_79 = n10
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10294), (10295) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10296) sum(n10, n1) = all_4_73
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10273), (10295) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10297) sum(n10, n3) = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10271), (10294) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10298) sum(n1, n1) = all_4_74
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (10298) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10299) all_4_74 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10296) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10300) all_4_73 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (10297) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10301) all_4_77 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10275), (10300) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10302) sum(n0, n4) = all_4_98
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10299), (10301) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10303) sum(n2, n2) = all_4_99
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (10302) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10304) all_4_98 = n4
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (10303) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10305) all_4_99 = n4
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10303), (10304), (10305)
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #185.
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | (10306) all_4_100 = n1 | all_4_100 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10265) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10307) all_4_101 = n1
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10307) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10308) pred(n1) = all_4_79
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10307) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10309) succ(n1) = all_4_75
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10309) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10310) all_4_75 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10308) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10311) all_4_79 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (10310) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10312) sum(all_4_76, n2) = all_4_74
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10310), (10311) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10313) sum(n0, n2) = all_4_73
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (10311) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10314) sum(n0, all_4_78) = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10313) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10315) all_4_73 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (10315) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | (10316) sum(n2, all_4_72) = all_4_98
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10306) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10317) all_4_100 = n1
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10317) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10318) pred(n1) = all_4_76
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10317) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10319) succ(n1) = all_4_78
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10319) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10320) all_4_78 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10318) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10321) all_4_76 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10320), (10321) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10322) sum(n0, n2) = all_4_72
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10312), (10321) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10323) sum(n0, n2) = all_4_74
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10314), (10320) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10324) sum(n0, n2) = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10323) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10325) all_4_74 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10322), (10323) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10326) all_4_72 = all_4_74
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10322), (10324) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10327) all_4_72 = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10326), (10327) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10328) all_4_74 = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10328) implies:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10329) all_4_74 = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10325), (10329) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10330) all_4_77 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10327), (10330) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10331) all_4_72 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10325), (10330) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10332) sum(n2, n2) = all_4_99
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10316), (10331) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10333) sum(n2, n2) = all_4_98
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (10333) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10334) all_4_98 = n4
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10332), (10333) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10335) all_4_98 = all_4_99
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10334), (10335) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10336) all_4_99 = n4
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10336) implies:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10337) all_4_99 = n4
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (179), (180), (188), (190), (191), (192), (196),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (219), (221), (222), (223), (227),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10332), (10334), (10337)
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #185.
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10338) all_4_100 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10338) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10339) pred(n0) = all_4_76
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10338) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10340) succ(n0) = all_4_78
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10340) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10341) all_4_78 = n1
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10339) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10342) all_4_76 = n10
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10341), (10342) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10343) sum(n10, n1) = all_4_72
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10312), (10342) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10344) sum(n10, n2) = all_4_74
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10314), (10341) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10345) sum(n0, n1) = all_4_77
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (10345) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10346) all_4_77 = n1
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10343) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10347) all_4_72 = n0
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (10344) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10348) all_4_74 = n1
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10346), (10348) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10349) sum(n1, n1) = all_4_99
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10316), (10347) imply:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10350) sum(n2, n0) = all_4_98
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (10349) gives:
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | | (10351) all_4_99 = n2
% 258.24/65.42 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (10350) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10352) all_4_98 = n2
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10349), (10351), (10352)
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #184.
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10353) all_4_101 = n0
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (10353) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10354) pred(n0) = all_4_79
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (10353) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10355) succ(n0) = all_4_75
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10355) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10356) all_4_75 = n1
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10354) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10357) all_4_79 = n10
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (10356) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10358) sum(all_4_76, n1) = all_4_74
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10356), (10357) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10359) sum(n10, n1) = all_4_73
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (10357) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10360) sum(n10, all_4_78) = all_4_77
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10359) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10361) all_4_73 = n0
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (10361) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | (10362) sum(n0, all_4_72) = all_4_98
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10306) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10363) all_4_100 = n1
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10363) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10364) pred(n1) = all_4_76
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10363) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10365) succ(n1) = all_4_78
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (10365) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10366) all_4_78 = n2
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (10364) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10367) all_4_76 = n0
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10366), (10367) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10368) sum(n0, n2) = all_4_72
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10358), (10367) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10369) sum(n0, n1) = all_4_74
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10360), (10366) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10370) sum(n10, n2) = all_4_77
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n1, n0,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (10369) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10371) all_4_74 = n1
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10368) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10372) all_4_72 = n2
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n2, n10,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (10370) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10373) all_4_77 = n1
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10371), (10373) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10374) sum(n1, n1) = all_4_99
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10362), (10372) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10375) sum(n0, n2) = all_4_98
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n2, n0,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (10375) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10376) all_4_98 = n2
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (10374) gives:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10377) all_4_99 = n2
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (179), (180), (189), (193), (194), (195), (197),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (220), (224), (225), (226), (228),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (8749), (10374), (10376), (10377)
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #184.
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10378) all_4_100 = n0
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (10378) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10379) pred(n0) = all_4_76
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (10378) imply:
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10380) succ(n0) = all_4_78
% 258.24/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (10380) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10381) all_4_78 = n1
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (10379) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10382) all_4_76 = n10
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (10381), (10382) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10383) sum(n10, n1) = all_4_72
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10358), (10382) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10384) sum(n10, n1) = all_4_74
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10360), (10381) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10385) sum(n10, n1) = all_4_77
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n1, n10,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (10384) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10386) all_4_74 = n0
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n1,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (10383), (10384) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10387) all_4_72 = all_4_74
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n1,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (10383), (10385) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10388) all_4_72 = all_4_77
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10387), (10388) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10389) all_4_74 = all_4_77
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10389) implies:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10390) all_4_74 = all_4_77
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10386), (10390) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10391) all_4_77 = n0
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10388), (10391) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10392) all_4_72 = n0
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (10386), (10391) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10393) sum(n0, n0) = all_4_99
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10362), (10392) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10394) sum(n0, n0) = all_4_98
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n0, n0,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (10394) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10395) all_4_98 = n0
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n0, n0,
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10393), (10394) gives:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10396) all_4_98 = all_4_99
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10395), (10396) imply:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10397) all_4_99 = n0
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10397) implies:
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (10398) all_4_99 = n0
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (175), (176), (177), (178),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (179), (180), (187), (200), (201), (202), (203),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (231),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | (246), (8749), (10393), (10395), (10398) are
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | | |
% 258.27/65.43 | | | | | | | | | End of split
% 258.27/65.43 | | | | | | | | |
% 258.27/65.43 | | | | | | | | End of split
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | End of split
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | End of split
% 258.27/65.43 | | | | | |
% 258.27/65.43 | | | | | Case 2:
% 258.27/65.43 | | | | | |
% 258.27/65.43 | | | | | | (10399) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~
% 258.27/65.43 | | | | | | (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~
% 258.27/65.43 | | | | | | (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.27/65.43 | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.43 | | | | | |
% 258.27/65.43 | | | | | | BETA: splitting (7057) gives:
% 258.27/65.43 | | | | | |
% 258.27/65.43 | | | | | | Case 1:
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | (10400) all_4_100 = n9
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | REDUCE: (230), (10400) imply:
% 258.27/65.43 | | | | | | | (10401) pred(n9) = all_4_76
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | REDUCE: (199), (10400) imply:
% 258.27/65.43 | | | | | | | (10402) succ(n9) = all_4_78
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_78, n9, simplifying
% 258.27/65.43 | | | | | | | with (196), (10402) gives:
% 258.27/65.43 | | | | | | | (10403) all_4_78 = n10
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_76, n9, simplifying
% 258.27/65.43 | | | | | | | with (227), (10401) gives:
% 258.27/65.43 | | | | | | | (10404) all_4_76 = n8
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | REDUCE: (131), (10404) imply:
% 258.27/65.43 | | | | | | | (10405) sum(n8, all_4_75) = all_4_74
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | REDUCE: (130), (10403), (10404) imply:
% 258.27/65.43 | | | | | | | (10406) sum(n8, n10) = all_4_72
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | REDUCE: (127), (10403) imply:
% 258.27/65.43 | | | | | | | (10407) sum(all_4_79, n10) = all_4_77
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_72, n10, n8,
% 258.27/65.43 | | | | | | | simplifying with (104), (10406) gives:
% 258.27/65.43 | | | | | | | (10408) all_4_72 = n7
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | REDUCE: (132), (10408) imply:
% 258.27/65.43 | | | | | | | (10409) sum(all_4_73, n7) = all_4_98
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | BETA: splitting (8748) gives:
% 258.27/65.43 | | | | | | |
% 258.27/65.43 | | | | | | | Case 1:
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | (10410) all_4_101 = n8
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (229), (10410) imply:
% 258.27/65.43 | | | | | | | | (10411) pred(n8) = all_4_79
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (198), (10410) imply:
% 258.27/65.43 | | | | | | | | (10412) succ(n8) = all_4_75
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8,
% 258.27/65.43 | | | | | | | | simplifying with (195), (10412) gives:
% 258.27/65.43 | | | | | | | | (10413) all_4_75 = n9
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8,
% 258.27/65.43 | | | | | | | | simplifying with (226), (10411) gives:
% 258.27/65.43 | | | | | | | | (10414) all_4_79 = n7
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (128), (10413), (10414) imply:
% 258.27/65.43 | | | | | | | | (10415) sum(n7, n9) = all_4_73
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (10407), (10414) imply:
% 258.27/65.43 | | | | | | | | (10416) sum(n7, n10) = all_4_77
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (10405), (10413) imply:
% 258.27/65.43 | | | | | | | | (10417) sum(n8, n9) = all_4_74
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 258.27/65.43 | | | | | | | | simplifying with (92), (10415) gives:
% 258.27/65.43 | | | | | | | | (10418) all_4_73 = n5
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n10, n7,
% 258.27/65.43 | | | | | | | | simplifying with (93), (10416) gives:
% 258.27/65.43 | | | | | | | | (10419) all_4_77 = n6
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n9, n8,
% 258.27/65.43 | | | | | | | | simplifying with (103), (10417) gives:
% 258.27/65.43 | | | | | | | | (10420) all_4_74 = n6
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (10409), (10418) imply:
% 258.27/65.43 | | | | | | | | (10421) sum(n5, n7) = all_4_98
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (129), (10419), (10420) imply:
% 258.27/65.43 | | | | | | | | (10422) sum(n6, n6) = all_4_99
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n7, n5,
% 258.27/65.43 | | | | | | | | simplifying with (68), (10421) gives:
% 258.27/65.43 | | | | | | | | (10423) all_4_98 = n1
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 258.27/65.43 | | | | | | | | simplifying with (78), (10422) gives:
% 258.27/65.43 | | | | | | | | (10424) all_4_99 = n1
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (232), (10423) imply:
% 258.27/65.43 | | | | | | | | (10425) pred(n1) = all_4_68
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (231), (10424) imply:
% 258.27/65.43 | | | | | | | | (10426) pred(n1) = all_4_71
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (201), (10423) imply:
% 258.27/65.43 | | | | | | | | (10427) succ(n1) = all_4_70
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (200), (10424) imply:
% 258.27/65.43 | | | | | | | | (10428) succ(n1) = all_4_67
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_67, n1,
% 258.27/65.43 | | | | | | | | simplifying with (188), (10428) gives:
% 258.27/65.43 | | | | | | | | (10429) all_4_67 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n1,
% 258.27/65.43 | | | | | | | | simplifying with (10427), (10428) gives:
% 258.27/65.43 | | | | | | | | (10430) all_4_67 = all_4_70
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_68, n1,
% 258.27/65.43 | | | | | | | | simplifying with (219), (10425) gives:
% 258.27/65.43 | | | | | | | | (10431) all_4_68 = n0
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n1,
% 258.27/65.43 | | | | | | | | simplifying with (10425), (10426) gives:
% 258.27/65.43 | | | | | | | | (10432) all_4_68 = all_4_71
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10429), (10430) imply:
% 258.27/65.43 | | | | | | | | (10433) all_4_70 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | SIMP: (10433) implies:
% 258.27/65.43 | | | | | | | | (10434) all_4_70 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10431), (10432) imply:
% 258.27/65.43 | | | | | | | | (10435) all_4_71 = n0
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (137), (10429), (10431) imply:
% 258.27/65.43 | | | | | | | | (10436) sum(n0, n2) = all_4_66
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (136), (10431), (10434) imply:
% 258.27/65.43 | | | | | | | | (10437) sum(n0, n2) = all_4_64
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (134), (10429), (10435) imply:
% 258.27/65.43 | | | | | | | | (10438) sum(n0, n2) = all_4_65
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (133), (10434), (10435) imply:
% 258.27/65.43 | | | | | | | | (10439) sum(n0, n2) = all_4_69
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_65, n2, n0,
% 258.27/65.43 | | | | | | | | simplifying with (8), (10438) gives:
% 258.27/65.43 | | | | | | | | (10440) all_4_65 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n2, n0,
% 258.27/65.43 | | | | | | | | simplifying with (10436), (10438) gives:
% 258.27/65.43 | | | | | | | | (10441) all_4_65 = all_4_66
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n2, n0,
% 258.27/65.43 | | | | | | | | simplifying with (10436), (10437) gives:
% 258.27/65.43 | | | | | | | | (10442) all_4_64 = all_4_66
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n2, n0,
% 258.27/65.43 | | | | | | | | simplifying with (10437), (10439) gives:
% 258.27/65.43 | | | | | | | | (10443) all_4_64 = all_4_69
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10442), (10443) imply:
% 258.27/65.43 | | | | | | | | (10444) all_4_66 = all_4_69
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | SIMP: (10444) implies:
% 258.27/65.43 | | | | | | | | (10445) all_4_66 = all_4_69
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10440), (10441) imply:
% 258.27/65.43 | | | | | | | | (10446) all_4_66 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | SIMP: (10446) implies:
% 258.27/65.43 | | | | | | | | (10447) all_4_66 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10445), (10447) imply:
% 258.27/65.43 | | | | | | | | (10448) all_4_69 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10443), (10448) imply:
% 258.27/65.43 | | | | | | | | (10449) all_4_64 = n2
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (138), (10440), (10449) imply:
% 258.27/65.43 | | | | | | | | (10450) sum(n2, n2) = all_4_96
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (135), (10447), (10448) imply:
% 258.27/65.43 | | | | | | | | (10451) sum(n2, n2) = all_4_97
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_96, n2, n2,
% 258.27/65.43 | | | | | | | | simplifying with (30), (10450) gives:
% 258.27/65.43 | | | | | | | | (10452) all_4_96 = n4
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n2, n2,
% 258.27/65.43 | | | | | | | | simplifying with (10450), (10451) gives:
% 258.27/65.43 | | | | | | | | (10453) all_4_96 = all_4_97
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10452), (10453) imply:
% 258.27/65.43 | | | | | | | | (10454) all_4_97 = n4
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (234), (10452) imply:
% 258.27/65.43 | | | | | | | | (10455) pred(n4) = all_4_60
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (233), (10454) imply:
% 258.27/65.43 | | | | | | | | (10456) pred(n4) = all_4_63
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (203), (10452) imply:
% 258.27/65.43 | | | | | | | | (10457) succ(n4) = all_4_62
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (202), (10454) imply:
% 258.27/65.43 | | | | | | | | (10458) succ(n4) = all_4_59
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_59, n4,
% 258.27/65.43 | | | | | | | | simplifying with (191), (10458) gives:
% 258.27/65.43 | | | | | | | | (10459) all_4_59 = n5
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n4,
% 258.27/65.43 | | | | | | | | simplifying with (10457), (10458) gives:
% 258.27/65.43 | | | | | | | | (10460) all_4_59 = all_4_62
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_60, n4,
% 258.27/65.43 | | | | | | | | simplifying with (222), (10455) gives:
% 258.27/65.43 | | | | | | | | (10461) all_4_60 = n3
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n4,
% 258.27/65.43 | | | | | | | | simplifying with (10455), (10456) gives:
% 258.27/65.43 | | | | | | | | (10462) all_4_60 = all_4_63
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10459), (10460) imply:
% 258.27/65.43 | | | | | | | | (10463) all_4_62 = n5
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | SIMP: (10463) implies:
% 258.27/65.43 | | | | | | | | (10464) all_4_62 = n5
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | COMBINE_EQS: (10461), (10462) imply:
% 258.27/65.43 | | | | | | | | (10465) all_4_63 = n3
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (143), (10459), (10461) imply:
% 258.27/65.43 | | | | | | | | (10466) sum(n3, n5) = all_4_58
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (142), (10461), (10464) imply:
% 258.27/65.43 | | | | | | | | (10467) sum(n3, n5) = all_4_56
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (140), (10459), (10465) imply:
% 258.27/65.43 | | | | | | | | (10468) sum(n3, n5) = all_4_57
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | REDUCE: (139), (10464), (10465) imply:
% 258.27/65.43 | | | | | | | | (10469) sum(n3, n5) = all_4_61
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_58, n5, n3,
% 258.27/65.43 | | | | | | | | simplifying with (44), (10466) gives:
% 258.27/65.43 | | | | | | | | (10470) all_4_58 = n8
% 258.27/65.43 | | | | | | | |
% 258.27/65.43 | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n5, n3,
% 258.27/65.43 | | | | | | | | simplifying with (10466), (10468) gives:
% 258.27/65.43 | | | | | | | | (10471) all_4_57 = all_4_58
% 258.27/65.43 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n5, n3,
% 258.27/65.44 | | | | | | | | simplifying with (10467), (10468) gives:
% 258.27/65.44 | | | | | | | | (10472) all_4_56 = all_4_57
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n5, n3,
% 258.27/65.44 | | | | | | | | simplifying with (10467), (10469) gives:
% 258.27/65.44 | | | | | | | | (10473) all_4_56 = all_4_61
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10472), (10473) imply:
% 258.27/65.44 | | | | | | | | (10474) all_4_57 = all_4_61
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10474) implies:
% 258.27/65.44 | | | | | | | | (10475) all_4_57 = all_4_61
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10471), (10475) imply:
% 258.27/65.44 | | | | | | | | (10476) all_4_58 = all_4_61
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10476) implies:
% 258.27/65.44 | | | | | | | | (10477) all_4_58 = all_4_61
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10470), (10477) imply:
% 258.27/65.44 | | | | | | | | (10478) all_4_61 = n8
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10475), (10478) imply:
% 258.27/65.44 | | | | | | | | (10479) all_4_57 = n8
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10473), (10478) imply:
% 258.27/65.44 | | | | | | | | (10480) all_4_56 = n8
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (144), (10479), (10480) imply:
% 258.27/65.44 | | | | | | | | (10481) sum(n8, n8) = all_4_94
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (141), (10470), (10478) imply:
% 258.27/65.44 | | | | | | | | (10482) sum(n8, n8) = all_4_95
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_94, n8, n8,
% 258.27/65.44 | | | | | | | | simplifying with (102), (10481) gives:
% 258.27/65.44 | | | | | | | | (10483) all_4_94 = n5
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n8, n8,
% 258.27/65.44 | | | | | | | | simplifying with (10481), (10482) gives:
% 258.27/65.44 | | | | | | | | (10484) all_4_94 = all_4_95
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10483), (10484) imply:
% 258.27/65.44 | | | | | | | | (10485) all_4_95 = n5
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (236), (10483) imply:
% 258.27/65.44 | | | | | | | | (10486) pred(n5) = all_4_52
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (235), (10485) imply:
% 258.27/65.44 | | | | | | | | (10487) pred(n5) = all_4_55
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (205), (10483) imply:
% 258.27/65.44 | | | | | | | | (10488) succ(n5) = all_4_54
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (204), (10485) imply:
% 258.27/65.44 | | | | | | | | (10489) succ(n5) = all_4_51
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_51, n5,
% 258.27/65.44 | | | | | | | | simplifying with (192), (10489) gives:
% 258.27/65.44 | | | | | | | | (10490) all_4_51 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n5,
% 258.27/65.44 | | | | | | | | simplifying with (10488), (10489) gives:
% 258.27/65.44 | | | | | | | | (10491) all_4_51 = all_4_54
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_52, n5,
% 258.27/65.44 | | | | | | | | simplifying with (223), (10486) gives:
% 258.27/65.44 | | | | | | | | (10492) all_4_52 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n5,
% 258.27/65.44 | | | | | | | | simplifying with (10486), (10487) gives:
% 258.27/65.44 | | | | | | | | (10493) all_4_52 = all_4_55
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10490), (10491) imply:
% 258.27/65.44 | | | | | | | | (10494) all_4_54 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10494) implies:
% 258.27/65.44 | | | | | | | | (10495) all_4_54 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10492), (10493) imply:
% 258.27/65.44 | | | | | | | | (10496) all_4_55 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (149), (10490), (10492) imply:
% 258.27/65.44 | | | | | | | | (10497) sum(n4, n6) = all_4_50
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (148), (10492), (10495) imply:
% 258.27/65.44 | | | | | | | | (10498) sum(n4, n6) = all_4_48
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (146), (10490), (10496) imply:
% 258.27/65.44 | | | | | | | | (10499) sum(n4, n6) = all_4_49
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (145), (10495), (10496) imply:
% 258.27/65.44 | | | | | | | | (10500) sum(n4, n6) = all_4_53
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_50, n6, n4,
% 258.27/65.44 | | | | | | | | simplifying with (56), (10497) gives:
% 258.27/65.44 | | | | | | | | (10501) all_4_50 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n6, n4,
% 258.27/65.44 | | | | | | | | simplifying with (10497), (10499) gives:
% 258.27/65.44 | | | | | | | | (10502) all_4_49 = all_4_50
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n6, n4,
% 258.27/65.44 | | | | | | | | simplifying with (10498), (10499) gives:
% 258.27/65.44 | | | | | | | | (10503) all_4_48 = all_4_49
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n6, n4,
% 258.27/65.44 | | | | | | | | simplifying with (10498), (10500) gives:
% 258.27/65.44 | | | | | | | | (10504) all_4_48 = all_4_53
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10503), (10504) imply:
% 258.27/65.44 | | | | | | | | (10505) all_4_49 = all_4_53
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10505) implies:
% 258.27/65.44 | | | | | | | | (10506) all_4_49 = all_4_53
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10502), (10506) imply:
% 258.27/65.44 | | | | | | | | (10507) all_4_50 = all_4_53
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10507) implies:
% 258.27/65.44 | | | | | | | | (10508) all_4_50 = all_4_53
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10501), (10508) imply:
% 258.27/65.44 | | | | | | | | (10509) all_4_53 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10506), (10509) imply:
% 258.27/65.44 | | | | | | | | (10510) all_4_49 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10504), (10509) imply:
% 258.27/65.44 | | | | | | | | (10511) all_4_48 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (150), (10510), (10511) imply:
% 258.27/65.44 | | | | | | | | (10512) sum(n10, n10) = all_4_92
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (147), (10501), (10509) imply:
% 258.27/65.44 | | | | | | | | (10513) sum(n10, n10) = all_4_93
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_92, n10, n10,
% 258.27/65.44 | | | | | | | | simplifying with (126), (10512) gives:
% 258.27/65.44 | | | | | | | | (10514) all_4_92 = n9
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n10,
% 258.27/65.44 | | | | | | | | n10, simplifying with (10512), (10513) gives:
% 258.27/65.44 | | | | | | | | (10515) all_4_92 = all_4_93
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10514), (10515) imply:
% 258.27/65.44 | | | | | | | | (10516) all_4_93 = n9
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10516) implies:
% 258.27/65.44 | | | | | | | | (10517) all_4_93 = n9
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (238), (10514) imply:
% 258.27/65.44 | | | | | | | | (10518) pred(n9) = all_4_44
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (237), (10517) imply:
% 258.27/65.44 | | | | | | | | (10519) pred(n9) = all_4_47
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (207), (10514) imply:
% 258.27/65.44 | | | | | | | | (10520) succ(n9) = all_4_46
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (206), (10517) imply:
% 258.27/65.44 | | | | | | | | (10521) succ(n9) = all_4_43
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_43, n9,
% 258.27/65.44 | | | | | | | | simplifying with (196), (10521) gives:
% 258.27/65.44 | | | | | | | | (10522) all_4_43 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n9,
% 258.27/65.44 | | | | | | | | simplifying with (10520), (10521) gives:
% 258.27/65.44 | | | | | | | | (10523) all_4_43 = all_4_46
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_44, n9,
% 258.27/65.44 | | | | | | | | simplifying with (227), (10518) gives:
% 258.27/65.44 | | | | | | | | (10524) all_4_44 = n8
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n9,
% 258.27/65.44 | | | | | | | | simplifying with (10518), (10519) gives:
% 258.27/65.44 | | | | | | | | (10525) all_4_44 = all_4_47
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10522), (10523) imply:
% 258.27/65.44 | | | | | | | | (10526) all_4_46 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10526) implies:
% 258.27/65.44 | | | | | | | | (10527) all_4_46 = n10
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10524), (10525) imply:
% 258.27/65.44 | | | | | | | | (10528) all_4_47 = n8
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (155), (10522), (10524) imply:
% 258.27/65.44 | | | | | | | | (10529) sum(n8, n10) = all_4_42
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (154), (10524), (10527) imply:
% 258.27/65.44 | | | | | | | | (10530) sum(n8, n10) = all_4_40
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (152), (10522), (10528) imply:
% 258.27/65.44 | | | | | | | | (10531) sum(n8, n10) = all_4_41
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (151), (10527), (10528) imply:
% 258.27/65.44 | | | | | | | | (10532) sum(n8, n10) = all_4_45
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_42, n10, n8,
% 258.27/65.44 | | | | | | | | simplifying with (104), (10529) gives:
% 258.27/65.44 | | | | | | | | (10533) all_4_42 = n7
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n10, n8,
% 258.27/65.44 | | | | | | | | simplifying with (10529), (10531) gives:
% 258.27/65.44 | | | | | | | | (10534) all_4_41 = all_4_42
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n10, n8,
% 258.27/65.44 | | | | | | | | simplifying with (10530), (10531) gives:
% 258.27/65.44 | | | | | | | | (10535) all_4_40 = all_4_41
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n10, n8,
% 258.27/65.44 | | | | | | | | simplifying with (10530), (10532) gives:
% 258.27/65.44 | | | | | | | | (10536) all_4_40 = all_4_45
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10535), (10536) imply:
% 258.27/65.44 | | | | | | | | (10537) all_4_41 = all_4_45
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10537) implies:
% 258.27/65.44 | | | | | | | | (10538) all_4_41 = all_4_45
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10534), (10538) imply:
% 258.27/65.44 | | | | | | | | (10539) all_4_42 = all_4_45
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10539) implies:
% 258.27/65.44 | | | | | | | | (10540) all_4_42 = all_4_45
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10533), (10540) imply:
% 258.27/65.44 | | | | | | | | (10541) all_4_45 = n7
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10538), (10541) imply:
% 258.27/65.44 | | | | | | | | (10542) all_4_41 = n7
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10536), (10541) imply:
% 258.27/65.44 | | | | | | | | (10543) all_4_40 = n7
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (156), (10542), (10543) imply:
% 258.27/65.44 | | | | | | | | (10544) sum(n7, n7) = all_4_90
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (153), (10533), (10541) imply:
% 258.27/65.44 | | | | | | | | (10545) sum(n7, n7) = all_4_91
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_90, n7, n7,
% 258.27/65.44 | | | | | | | | simplifying with (90), (10544) gives:
% 258.27/65.44 | | | | | | | | (10546) all_4_90 = n3
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n7, n7,
% 258.27/65.44 | | | | | | | | simplifying with (10544), (10545) gives:
% 258.27/65.44 | | | | | | | | (10547) all_4_90 = all_4_91
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10546), (10547) imply:
% 258.27/65.44 | | | | | | | | (10548) all_4_91 = n3
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (240), (10546) imply:
% 258.27/65.44 | | | | | | | | (10549) pred(n3) = all_4_36
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (239), (10548) imply:
% 258.27/65.44 | | | | | | | | (10550) pred(n3) = all_4_39
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (209), (10546) imply:
% 258.27/65.44 | | | | | | | | (10551) succ(n3) = all_4_38
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (208), (10548) imply:
% 258.27/65.44 | | | | | | | | (10552) succ(n3) = all_4_35
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_35, n3,
% 258.27/65.44 | | | | | | | | simplifying with (190), (10552) gives:
% 258.27/65.44 | | | | | | | | (10553) all_4_35 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n3,
% 258.27/65.44 | | | | | | | | simplifying with (10551), (10552) gives:
% 258.27/65.44 | | | | | | | | (10554) all_4_35 = all_4_38
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_36, n3,
% 258.27/65.44 | | | | | | | | simplifying with (221), (10549) gives:
% 258.27/65.44 | | | | | | | | (10555) all_4_36 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n3,
% 258.27/65.44 | | | | | | | | simplifying with (10549), (10550) gives:
% 258.27/65.44 | | | | | | | | (10556) all_4_36 = all_4_39
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10553), (10554) imply:
% 258.27/65.44 | | | | | | | | (10557) all_4_38 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10557) implies:
% 258.27/65.44 | | | | | | | | (10558) all_4_38 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10555), (10556) imply:
% 258.27/65.44 | | | | | | | | (10559) all_4_39 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (161), (10553), (10555) imply:
% 258.27/65.44 | | | | | | | | (10560) sum(n2, n4) = all_4_34
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (160), (10555), (10558) imply:
% 258.27/65.44 | | | | | | | | (10561) sum(n2, n4) = all_4_32
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (158), (10553), (10559) imply:
% 258.27/65.44 | | | | | | | | (10562) sum(n2, n4) = all_4_33
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (157), (10558), (10559) imply:
% 258.27/65.44 | | | | | | | | (10563) sum(n2, n4) = all_4_37
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_34, n4, n2,
% 258.27/65.44 | | | | | | | | simplifying with (32), (10560) gives:
% 258.27/65.44 | | | | | | | | (10564) all_4_34 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n4, n2,
% 258.27/65.44 | | | | | | | | simplifying with (10560), (10562) gives:
% 258.27/65.44 | | | | | | | | (10565) all_4_33 = all_4_34
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n4, n2,
% 258.27/65.44 | | | | | | | | simplifying with (10561), (10562) gives:
% 258.27/65.44 | | | | | | | | (10566) all_4_32 = all_4_33
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n4, n2,
% 258.27/65.44 | | | | | | | | simplifying with (10561), (10563) gives:
% 258.27/65.44 | | | | | | | | (10567) all_4_32 = all_4_37
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10566), (10567) imply:
% 258.27/65.44 | | | | | | | | (10568) all_4_33 = all_4_37
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10568) implies:
% 258.27/65.44 | | | | | | | | (10569) all_4_33 = all_4_37
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10565), (10569) imply:
% 258.27/65.44 | | | | | | | | (10570) all_4_34 = all_4_37
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10570) implies:
% 258.27/65.44 | | | | | | | | (10571) all_4_34 = all_4_37
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10564), (10571) imply:
% 258.27/65.44 | | | | | | | | (10572) all_4_37 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10569), (10572) imply:
% 258.27/65.44 | | | | | | | | (10573) all_4_33 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10567), (10572) imply:
% 258.27/65.44 | | | | | | | | (10574) all_4_32 = n6
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (162), (10573), (10574) imply:
% 258.27/65.44 | | | | | | | | (10575) sum(n6, n6) = all_4_88
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (159), (10564), (10572) imply:
% 258.27/65.44 | | | | | | | | (10576) sum(n6, n6) = all_4_89
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_88, n6, n6,
% 258.27/65.44 | | | | | | | | simplifying with (78), (10575) gives:
% 258.27/65.44 | | | | | | | | (10577) all_4_88 = n1
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n6, n6,
% 258.27/65.44 | | | | | | | | simplifying with (10575), (10576) gives:
% 258.27/65.44 | | | | | | | | (10578) all_4_88 = all_4_89
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10577), (10578) imply:
% 258.27/65.44 | | | | | | | | (10579) all_4_89 = n1
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (242), (10577) imply:
% 258.27/65.44 | | | | | | | | (10580) pred(n1) = all_4_28
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (241), (10579) imply:
% 258.27/65.44 | | | | | | | | (10581) pred(n1) = all_4_31
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (211), (10577) imply:
% 258.27/65.44 | | | | | | | | (10582) succ(n1) = all_4_30
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (210), (10579) imply:
% 258.27/65.44 | | | | | | | | (10583) succ(n1) = all_4_27
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_27, n1,
% 258.27/65.44 | | | | | | | | simplifying with (188), (10583) gives:
% 258.27/65.44 | | | | | | | | (10584) all_4_27 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (2) with all_4_30, all_4_27, n1,
% 258.27/65.44 | | | | | | | | simplifying with (10582), (10583) gives:
% 258.27/65.44 | | | | | | | | (10585) all_4_27 = all_4_30
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_28, n1,
% 258.27/65.44 | | | | | | | | simplifying with (219), (10580) gives:
% 258.27/65.44 | | | | | | | | (10586) all_4_28 = n0
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28, n1,
% 258.27/65.44 | | | | | | | | simplifying with (10580), (10581) gives:
% 258.27/65.44 | | | | | | | | (10587) all_4_28 = all_4_31
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10584), (10585) imply:
% 258.27/65.44 | | | | | | | | (10588) all_4_30 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10588) implies:
% 258.27/65.44 | | | | | | | | (10589) all_4_30 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10586), (10587) imply:
% 258.27/65.44 | | | | | | | | (10590) all_4_31 = n0
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (167), (10584), (10586) imply:
% 258.27/65.44 | | | | | | | | (10591) sum(n0, n2) = all_4_26
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (166), (10586), (10589) imply:
% 258.27/65.44 | | | | | | | | (10592) sum(n0, n2) = all_4_24
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (164), (10584), (10590) imply:
% 258.27/65.44 | | | | | | | | (10593) sum(n0, n2) = all_4_25
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (163), (10589), (10590) imply:
% 258.27/65.44 | | | | | | | | (10594) sum(n0, n2) = all_4_29
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_26, n2, n0,
% 258.27/65.44 | | | | | | | | simplifying with (8), (10591) gives:
% 258.27/65.44 | | | | | | | | (10595) all_4_26 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_25, n2, n0,
% 258.27/65.44 | | | | | | | | simplifying with (10591), (10593) gives:
% 258.27/65.44 | | | | | | | | (10596) all_4_25 = all_4_26
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24, n2, n0,
% 258.27/65.44 | | | | | | | | simplifying with (10592), (10593) gives:
% 258.27/65.44 | | | | | | | | (10597) all_4_24 = all_4_25
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_24, n2, n0,
% 258.27/65.44 | | | | | | | | simplifying with (10592), (10594) gives:
% 258.27/65.44 | | | | | | | | (10598) all_4_24 = all_4_29
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10597), (10598) imply:
% 258.27/65.44 | | | | | | | | (10599) all_4_25 = all_4_29
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10599) implies:
% 258.27/65.44 | | | | | | | | (10600) all_4_25 = all_4_29
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10596), (10600) imply:
% 258.27/65.44 | | | | | | | | (10601) all_4_26 = all_4_29
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10601) implies:
% 258.27/65.44 | | | | | | | | (10602) all_4_26 = all_4_29
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10595), (10602) imply:
% 258.27/65.44 | | | | | | | | (10603) all_4_29 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10600), (10603) imply:
% 258.27/65.44 | | | | | | | | (10604) all_4_25 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10598), (10603) imply:
% 258.27/65.44 | | | | | | | | (10605) all_4_24 = n2
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (168), (10604), (10605) imply:
% 258.27/65.44 | | | | | | | | (10606) sum(n2, n2) = all_4_86
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (165), (10595), (10603) imply:
% 258.27/65.44 | | | | | | | | (10607) sum(n2, n2) = all_4_87
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_86, n2, n2,
% 258.27/65.44 | | | | | | | | simplifying with (30), (10606) gives:
% 258.27/65.44 | | | | | | | | (10608) all_4_86 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | GROUND_INST: instantiating (4) with all_4_87, all_4_86, n2, n2,
% 258.27/65.44 | | | | | | | | simplifying with (10606), (10607) gives:
% 258.27/65.44 | | | | | | | | (10609) all_4_86 = all_4_87
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | COMBINE_EQS: (10608), (10609) imply:
% 258.27/65.44 | | | | | | | | (10610) all_4_87 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | SIMP: (10610) implies:
% 258.27/65.44 | | | | | | | | (10611) all_4_87 = n4
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (244), (10608) imply:
% 258.27/65.44 | | | | | | | | (10612) pred(n4) = all_4_20
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (243), (10611) imply:
% 258.27/65.44 | | | | | | | | (10613) pred(n4) = all_4_23
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (213), (10608) imply:
% 258.27/65.44 | | | | | | | | (10614) succ(n4) = all_4_22
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | REDUCE: (212), (10611) imply:
% 258.27/65.44 | | | | | | | | (10615) succ(n4) = all_4_19
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | BETA: splitting (10399) gives:
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | Case 1:
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | (10616) ~ (all_4_84 = all_4_85)
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_19, n4,
% 258.27/65.44 | | | | | | | | | simplifying with (191), (10615) gives:
% 258.27/65.44 | | | | | | | | | (10617) all_4_19 = n5
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (102), (169), (170), (171),
% 258.27/65.44 | | | | | | | | | (172), (173), (174), (222), (10612), (10613),
% 258.27/65.44 | | | | | | | | | (10614), (10615), (10616), (10617) are inconsistent
% 258.27/65.44 | | | | | | | | | by sub-proof #172.
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | Case 2:
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | (10618) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89)
% 258.27/65.44 | | | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 258.27/65.44 | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.27/65.44 | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (157), (158),
% 258.27/65.44 | | | | | | | | | (159), (160), (161), (162), (163), (164), (165),
% 258.27/65.44 | | | | | | | | | (166), (167), (168), (188), (190), (219), (221),
% 258.27/65.44 | | | | | | | | | (10423), (10424), (10452), (10454), (10483),
% 258.27/65.44 | | | | | | | | | (10485), (10514), (10517), (10546), (10548),
% 258.27/65.44 | | | | | | | | | (10549), (10550), (10551), (10552), (10580),
% 258.27/65.44 | | | | | | | | | (10581), (10582), (10583), (10618) are inconsistent
% 258.27/65.44 | | | | | | | | | by sub-proof #84.
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | End of split
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | Case 2:
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | (10619) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 258.27/65.44 | | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.27/65.44 | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | BETA: splitting (10399) gives:
% 258.27/65.44 | | | | | | | |
% 258.27/65.44 | | | | | | | | Case 1:
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | (10620) ~ (all_4_84 = all_4_85)
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | BETA: splitting (10619) gives:
% 258.27/65.44 | | | | | | | | |
% 258.27/65.44 | | | | | | | | | Case 1:
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | (10621) all_4_101 = n7
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (229), (10621) imply:
% 258.27/65.44 | | | | | | | | | | (10622) pred(n7) = all_4_79
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (198), (10621) imply:
% 258.27/65.44 | | | | | | | | | | (10623) succ(n7) = all_4_75
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 258.27/65.44 | | | | | | | | | | simplifying with (194), (10623) gives:
% 258.27/65.44 | | | | | | | | | | (10624) all_4_75 = n8
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 258.27/65.44 | | | | | | | | | | simplifying with (225), (10622) gives:
% 258.27/65.44 | | | | | | | | | | (10625) all_4_79 = n6
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (128), (10624), (10625) imply:
% 258.27/65.44 | | | | | | | | | | (10626) sum(n6, n8) = all_4_73
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (10407), (10625) imply:
% 258.27/65.44 | | | | | | | | | | (10627) sum(n6, n10) = all_4_77
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (10405), (10624) imply:
% 258.27/65.44 | | | | | | | | | | (10628) sum(n8, n8) = all_4_74
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 258.27/65.44 | | | | | | | | | | simplifying with (80), (10626) gives:
% 258.27/65.44 | | | | | | | | | | (10629) all_4_73 = n3
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n10, n6,
% 258.27/65.44 | | | | | | | | | | simplifying with (82), (10627) gives:
% 258.27/65.44 | | | | | | | | | | (10630) all_4_77 = n5
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n8, n8,
% 258.27/65.44 | | | | | | | | | | simplifying with (102), (10628) gives:
% 258.27/65.44 | | | | | | | | | | (10631) all_4_74 = n5
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (10409), (10629) imply:
% 258.27/65.44 | | | | | | | | | | (10632) sum(n3, n7) = all_4_98
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | REDUCE: (129), (10630), (10631) imply:
% 258.27/65.44 | | | | | | | | | | (10633) sum(n5, n5) = all_4_99
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n7, n3,
% 258.27/65.44 | | | | | | | | | | simplifying with (46), (10632) gives:
% 258.27/65.44 | | | | | | | | | | (10634) all_4_98 = n10
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.44 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.27/65.44 | | | | | | | | | | simplifying with (66), (10633) gives:
% 258.27/65.44 | | | | | | | | | | (10635) all_4_99 = n10
% 258.27/65.44 | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.27/65.45 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.45 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.45 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.45 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.45 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.45 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.45 | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.27/65.45 | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.27/65.45 | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.45 | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.27/65.45 | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.45 | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10620),
% 258.27/65.45 | | | | | | | | | | (10633), (10634), (10635) are inconsistent by
% 258.27/65.45 | | | | | | | | | | sub-proof #170.
% 258.27/65.45 | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | Case 2:
% 258.27/65.45 | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | (10636) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 258.27/65.45 | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.45 | | | | | | | | | | all_4_101 = n0
% 258.27/65.45 | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | BETA: splitting (10636) gives:
% 258.27/65.45 | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | Case 1:
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | (10637) all_4_101 = n6
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (229), (10637) imply:
% 258.27/65.45 | | | | | | | | | | | (10638) pred(n6) = all_4_79
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (198), (10637) imply:
% 258.27/65.45 | | | | | | | | | | | (10639) succ(n6) = all_4_75
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 258.27/65.45 | | | | | | | | | | | simplifying with (193), (10639) gives:
% 258.27/65.45 | | | | | | | | | | | (10640) all_4_75 = n7
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 258.27/65.45 | | | | | | | | | | | simplifying with (224), (10638) gives:
% 258.27/65.45 | | | | | | | | | | | (10641) all_4_79 = n5
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (128), (10640), (10641) imply:
% 258.27/65.45 | | | | | | | | | | | (10642) sum(n5, n7) = all_4_73
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (10407), (10641) imply:
% 258.27/65.45 | | | | | | | | | | | (10643) sum(n5, n10) = all_4_77
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (10405), (10640) imply:
% 258.27/65.45 | | | | | | | | | | | (10644) sum(n8, n7) = all_4_74
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 258.27/65.45 | | | | | | | | | | | simplifying with (68), (10642) gives:
% 258.27/65.45 | | | | | | | | | | | (10645) all_4_73 = n1
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n10, n5,
% 258.27/65.45 | | | | | | | | | | | simplifying with (71), (10643) gives:
% 258.27/65.45 | | | | | | | | | | | (10646) all_4_77 = n4
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n7, n8,
% 258.27/65.45 | | | | | | | | | | | simplifying with (101), (10644) gives:
% 258.27/65.45 | | | | | | | | | | | (10647) all_4_74 = n4
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (10409), (10645) imply:
% 258.27/65.45 | | | | | | | | | | | (10648) sum(n1, n7) = all_4_98
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REDUCE: (129), (10646), (10647) imply:
% 258.27/65.45 | | | | | | | | | | | (10649) sum(n4, n4) = all_4_99
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n7, n1,
% 258.27/65.45 | | | | | | | | | | | simplifying with (24), (10648) gives:
% 258.27/65.45 | | | | | | | | | | | (10650) all_4_98 = n8
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.27/65.45 | | | | | | | | | | | simplifying with (54), (10649) gives:
% 258.27/65.45 | | | | | | | | | | | (10651) all_4_99 = n8
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.27/65.45 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.45 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.45 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.45 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.45 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.45 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.45 | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.27/65.45 | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.27/65.45 | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.45 | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.27/65.45 | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.45 | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10620),
% 258.27/65.45 | | | | | | | | | | | (10649), (10650), (10651) are inconsistent by
% 258.27/65.45 | | | | | | | | | | | sub-proof #169.
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | Case 2:
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | (10652) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 258.27/65.45 | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | BETA: splitting (10652) gives:
% 258.27/65.45 | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | Case 1:
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | (10653) all_4_101 = n5
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (229), (10653) imply:
% 258.27/65.45 | | | | | | | | | | | | (10654) pred(n5) = all_4_79
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (198), (10653) imply:
% 258.27/65.45 | | | | | | | | | | | | (10655) succ(n5) = all_4_75
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (192), (10655) gives:
% 258.27/65.45 | | | | | | | | | | | | (10656) all_4_75 = n6
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (223), (10654) gives:
% 258.27/65.45 | | | | | | | | | | | | (10657) all_4_79 = n4
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (128), (10656), (10657) imply:
% 258.27/65.45 | | | | | | | | | | | | (10658) sum(n4, n6) = all_4_73
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (10407), (10657) imply:
% 258.27/65.45 | | | | | | | | | | | | (10659) sum(n4, n10) = all_4_77
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (10405), (10656) imply:
% 258.27/65.45 | | | | | | | | | | | | (10660) sum(n8, n6) = all_4_74
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (56), (10658) gives:
% 258.27/65.45 | | | | | | | | | | | | (10661) all_4_73 = n10
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n10, n4,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (60), (10659) gives:
% 258.27/65.45 | | | | | | | | | | | | (10662) all_4_77 = n3
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n6, n8,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (100), (10660) gives:
% 258.27/65.45 | | | | | | | | | | | | (10663) all_4_74 = n3
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (10409), (10661) imply:
% 258.27/65.45 | | | | | | | | | | | | (10664) sum(n10, n7) = all_4_98
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REDUCE: (129), (10662), (10663) imply:
% 258.27/65.45 | | | | | | | | | | | | (10665) sum(n3, n3) = all_4_99
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (42), (10665) gives:
% 258.27/65.45 | | | | | | | | | | | | (10666) all_4_99 = n6
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n7, n10,
% 258.27/65.45 | | | | | | | | | | | | simplifying with (123), (10664) gives:
% 258.27/65.45 | | | | | | | | | | | | (10667) all_4_98 = n6
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.27/65.45 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.45 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.45 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.45 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.45 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.45 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.45 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.27/65.45 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.27/65.45 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.45 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.27/65.45 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.45 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10620),
% 258.27/65.45 | | | | | | | | | | | | (10665), (10666), (10667) are inconsistent by
% 258.27/65.45 | | | | | | | | | | | | sub-proof #168.
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | Case 2:
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | (10668) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.27/65.45 | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | BETA: splitting (10668) gives:
% 258.27/65.45 | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | Case 1:
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | (10669) all_4_101 = n4
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (229), (10669) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10670) pred(n4) = all_4_79
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (198), (10669) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10671) succ(n4) = all_4_75
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (191), (10671) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10672) all_4_75 = n5
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (222), (10670) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10673) all_4_79 = n3
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (128), (10672), (10673) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10674) sum(n3, n5) = all_4_73
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (10407), (10673) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10675) sum(n3, n10) = all_4_77
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (10405), (10672) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10676) sum(n8, n5) = all_4_74
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (44), (10674) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10677) all_4_73 = n8
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (49), (10675) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10678) all_4_77 = n2
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (99), (10676) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10679) all_4_74 = n2
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (10409), (10677) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10680) sum(n8, n7) = all_4_98
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REDUCE: (129), (10678), (10679) imply:
% 258.27/65.45 | | | | | | | | | | | | | (10681) sum(n2, n2) = all_4_99
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (30), (10681) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10682) all_4_99 = n4
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 258.27/65.45 | | | | | | | | | | | | | simplifying with (101), (10680) gives:
% 258.27/65.45 | | | | | | | | | | | | | (10683) all_4_98 = n4
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.27/65.45 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.27/65.45 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.45 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.45 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.45 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.45 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.45 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.27/65.45 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.27/65.45 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.45 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.27/65.45 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.45 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10620),
% 258.27/65.45 | | | | | | | | | | | | | (10681), (10682), (10683) are inconsistent by
% 258.27/65.45 | | | | | | | | | | | | | sub-proof #167.
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | Case 2:
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | (10684) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.45 | | | | | | | | | | | | | all_4_101 = n0
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | BETA: splitting (10684) gives:
% 258.27/65.45 | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | Case 1:
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | (10685) all_4_101 = n3
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (229), (10685) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10686) pred(n3) = all_4_79
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (198), (10685) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10687) succ(n3) = all_4_75
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (190), (10687) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10688) all_4_75 = n4
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (221), (10686) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10689) all_4_79 = n2
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (128), (10688), (10689) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10690) sum(n2, n4) = all_4_73
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (10407), (10689) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10691) sum(n2, n10) = all_4_77
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (10405), (10688) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10692) sum(n8, n4) = all_4_74
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (32), (10690) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10693) all_4_73 = n6
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (38), (10691) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10694) all_4_77 = n1
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (98), (10692) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10695) all_4_74 = n1
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (10409), (10693) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10696) sum(n6, n7) = all_4_98
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REDUCE: (129), (10694), (10695) imply:
% 258.27/65.45 | | | | | | | | | | | | | | (10697) sum(n1, n1) = all_4_99
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (18), (10697) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10698) all_4_99 = n2
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 258.27/65.45 | | | | | | | | | | | | | | simplifying with (79), (10696) gives:
% 258.27/65.45 | | | | | | | | | | | | | | (10699) all_4_98 = n2
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.27/65.45 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.45 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.45 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.45 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.45 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.45 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.45 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.27/65.45 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.27/65.45 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.45 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.27/65.45 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.45 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10620),
% 258.27/65.45 | | | | | | | | | | | | | | (10697), (10698), (10699) are inconsistent by
% 258.27/65.45 | | | | | | | | | | | | | | sub-proof #166.
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | Case 2:
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | (10700) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | BETA: splitting (10700) gives:
% 258.27/65.45 | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | Case 1:
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | (10701) all_4_101 = n2
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (229), (10701) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10702) pred(n2) = all_4_79
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (198), (10701) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10703) succ(n2) = all_4_75
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (189), (10703) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10704) all_4_75 = n3
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (220), (10702) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10705) all_4_79 = n1
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (128), (10704), (10705) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10706) sum(n1, n3) = all_4_73
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (10407), (10705) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10707) sum(n1, n10) = all_4_77
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (10405), (10704) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10708) sum(n8, n3) = all_4_74
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (20), (10706) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10709) all_4_73 = n4
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (27), (10707) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10710) all_4_77 = n0
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (97), (10708) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10711) all_4_74 = n0
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (10409), (10709) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10712) sum(n4, n7) = all_4_98
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REDUCE: (129), (10710), (10711) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | (10713) sum(n0, n0) = all_4_99
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (6), (10713) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10714) all_4_99 = n0
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.27/65.45 | | | | | | | | | | | | | | | simplifying with (57), (10712) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | (10715) all_4_98 = n0
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.27/65.45 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.45 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.45 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.45 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.45 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.45 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 258.27/65.45 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 258.27/65.45 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 258.27/65.45 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.45 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (10620),
% 258.27/65.45 | | | | | | | | | | | | | | | (10713), (10714), (10715) are inconsistent by
% 258.27/65.45 | | | | | | | | | | | | | | | sub-proof #164.
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | Case 2:
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | (10716) all_4_101 = n1 | all_4_101 = n0
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | BETA: splitting (10716) gives:
% 258.27/65.45 | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | Case 1:
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | (10717) all_4_101 = n1
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (229), (10717) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10718) pred(n1) = all_4_79
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (198), (10717) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10719) succ(n1) = all_4_75
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (188), (10719) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10720) all_4_75 = n2
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (219), (10718) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10721) all_4_79 = n0
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (128), (10720), (10721) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10722) sum(n0, n2) = all_4_73
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (10407), (10721) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10723) sum(n0, n10) = all_4_77
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (10405), (10720) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10724) sum(n8, n2) = all_4_74
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (8), (10722) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10725) all_4_73 = n2
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (16), (10723) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10726) all_4_77 = n10
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (96), (10724) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10727) all_4_74 = n10
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (10409), (10725) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10728) sum(n2, n7) = all_4_98
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | REDUCE: (129), (10726), (10727) imply:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10729) sum(n10, n10) = all_4_99
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (35), (10728) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10730) all_4_98 = n9
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.27/65.45 | | | | | | | | | | | | | | | | simplifying with (126), (10729) gives:
% 258.27/65.45 | | | | | | | | | | | | | | | | (10731) all_4_99 = n9
% 258.27/65.45 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.27/65.46 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.27/65.46 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.46 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.46 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.46 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.46 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.46 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.27/65.46 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.27/65.46 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.46 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.27/65.46 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.46 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10620),
% 258.27/65.46 | | | | | | | | | | | | | | | | (10729), (10730), (10731) are inconsistent by
% 258.27/65.46 | | | | | | | | | | | | | | | | sub-proof #163.
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | Case 2:
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | (10732) all_4_101 = n0
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (229), (10732) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10733) pred(n0) = all_4_79
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (198), (10732) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10734) succ(n0) = all_4_75
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (187), (10734) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10735) all_4_75 = n1
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (218), (10733) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10736) all_4_79 = n10
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (128), (10735), (10736) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10737) sum(n10, n1) = all_4_73
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (10407), (10736) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10738) sum(n10, n10) = all_4_77
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (10405), (10735) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10739) sum(n8, n1) = all_4_74
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (95), (10739) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10740) all_4_74 = n9
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (117), (10737) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10741) all_4_73 = n0
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (126), (10738) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10742) all_4_77 = n9
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (10409), (10741) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10743) sum(n0, n7) = all_4_98
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REDUCE: (129), (10740), (10742) imply:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10744) sum(n9, n9) = all_4_99
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (13), (10743) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10745) all_4_98 = n7
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.27/65.46 | | | | | | | | | | | | | | | | simplifying with (114), (10744) gives:
% 258.27/65.46 | | | | | | | | | | | | | | | | (10746) all_4_99 = n7
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.27/65.46 | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.27/65.46 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.46 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.46 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.46 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.46 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.27/65.46 | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.27/65.46 | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.27/65.46 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.27/65.46 | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.27/65.46 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.27/65.46 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 258.27/65.46 | | | | | | | | | | | | | | | | (10744), (10745), (10746) are inconsistent by
% 258.27/65.46 | | | | | | | | | | | | | | | | sub-proof #85.
% 258.27/65.46 | | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | End of split
% 258.27/65.46 | | | | | | | | |
% 258.27/65.46 | | | | | | | | Case 2:
% 258.27/65.46 | | | | | | | | |
% 258.27/65.46 | | | | | | | | | (10747) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89)
% 258.27/65.46 | | | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 258.27/65.46 | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.27/65.46 | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.46 | | | | | | | | |
% 258.27/65.46 | | | | | | | | | BETA: splitting (10619) gives:
% 258.27/65.46 | | | | | | | | |
% 258.27/65.46 | | | | | | | | | Case 1:
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | (10748) all_4_101 = n7
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (229), (10748) imply:
% 258.27/65.46 | | | | | | | | | | (10749) pred(n7) = all_4_79
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (198), (10748) imply:
% 258.27/65.46 | | | | | | | | | | (10750) succ(n7) = all_4_75
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 258.27/65.46 | | | | | | | | | | simplifying with (194), (10750) gives:
% 258.27/65.46 | | | | | | | | | | (10751) all_4_75 = n8
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 258.27/65.46 | | | | | | | | | | simplifying with (225), (10749) gives:
% 258.27/65.46 | | | | | | | | | | (10752) all_4_79 = n6
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (128), (10751), (10752) imply:
% 258.27/65.46 | | | | | | | | | | (10753) sum(n6, n8) = all_4_73
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (10407), (10752) imply:
% 258.27/65.46 | | | | | | | | | | (10754) sum(n6, n10) = all_4_77
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (10405), (10751) imply:
% 258.27/65.46 | | | | | | | | | | (10755) sum(n8, n8) = all_4_74
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (80), (10753) gives:
% 258.27/65.46 | | | | | | | | | | (10756) all_4_73 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n10, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (82), (10754) gives:
% 258.27/65.46 | | | | | | | | | | (10757) all_4_77 = n5
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n8, n8,
% 258.27/65.46 | | | | | | | | | | simplifying with (102), (10755) gives:
% 258.27/65.46 | | | | | | | | | | (10758) all_4_74 = n5
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (10409), (10756) imply:
% 258.27/65.46 | | | | | | | | | | (10759) sum(n3, n7) = all_4_98
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (129), (10757), (10758) imply:
% 258.27/65.46 | | | | | | | | | | (10760) sum(n5, n5) = all_4_99
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n7, n3,
% 258.27/65.46 | | | | | | | | | | simplifying with (46), (10759) gives:
% 258.27/65.46 | | | | | | | | | | (10761) all_4_98 = n10
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 258.27/65.46 | | | | | | | | | | simplifying with (66), (10760) gives:
% 258.27/65.46 | | | | | | | | | | (10762) all_4_99 = n10
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (232), (10761) imply:
% 258.27/65.46 | | | | | | | | | | (10763) pred(n10) = all_4_68
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (231), (10762) imply:
% 258.27/65.46 | | | | | | | | | | (10764) pred(n10) = all_4_71
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (201), (10761) imply:
% 258.27/65.46 | | | | | | | | | | (10765) succ(n10) = all_4_70
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (200), (10762) imply:
% 258.27/65.46 | | | | | | | | | | (10766) succ(n10) = all_4_67
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_67, n10,
% 258.27/65.46 | | | | | | | | | | simplifying with (197), (10766) gives:
% 258.27/65.46 | | | | | | | | | | (10767) all_4_67 = n0
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n10,
% 258.27/65.46 | | | | | | | | | | simplifying with (10765), (10766) gives:
% 258.27/65.46 | | | | | | | | | | (10768) all_4_67 = all_4_70
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_68, n10,
% 258.27/65.46 | | | | | | | | | | simplifying with (228), (10763) gives:
% 258.27/65.46 | | | | | | | | | | (10769) all_4_68 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n10,
% 258.27/65.46 | | | | | | | | | | simplifying with (10763), (10764) gives:
% 258.27/65.46 | | | | | | | | | | (10770) all_4_68 = all_4_71
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10767), (10768) imply:
% 258.27/65.46 | | | | | | | | | | (10771) all_4_70 = n0
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10771) implies:
% 258.27/65.46 | | | | | | | | | | (10772) all_4_70 = n0
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10769), (10770) imply:
% 258.27/65.46 | | | | | | | | | | (10773) all_4_71 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (137), (10767), (10769) imply:
% 258.27/65.46 | | | | | | | | | | (10774) sum(n9, n0) = all_4_66
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (136), (10769), (10772) imply:
% 258.27/65.46 | | | | | | | | | | (10775) sum(n9, n0) = all_4_64
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (134), (10767), (10773) imply:
% 258.27/65.46 | | | | | | | | | | (10776) sum(n9, n0) = all_4_65
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (133), (10772), (10773) imply:
% 258.27/65.46 | | | | | | | | | | (10777) sum(n9, n0) = all_4_69
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_65, n0, n9,
% 258.27/65.46 | | | | | | | | | | simplifying with (105), (10776) gives:
% 258.27/65.46 | | | | | | | | | | (10778) all_4_65 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n0, n9,
% 258.27/65.46 | | | | | | | | | | simplifying with (10774), (10776) gives:
% 258.27/65.46 | | | | | | | | | | (10779) all_4_65 = all_4_66
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n0, n9,
% 258.27/65.46 | | | | | | | | | | simplifying with (10774), (10775) gives:
% 258.27/65.46 | | | | | | | | | | (10780) all_4_64 = all_4_66
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n0, n9,
% 258.27/65.46 | | | | | | | | | | simplifying with (10775), (10777) gives:
% 258.27/65.46 | | | | | | | | | | (10781) all_4_64 = all_4_69
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10780), (10781) imply:
% 258.27/65.46 | | | | | | | | | | (10782) all_4_66 = all_4_69
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10782) implies:
% 258.27/65.46 | | | | | | | | | | (10783) all_4_66 = all_4_69
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10778), (10779) imply:
% 258.27/65.46 | | | | | | | | | | (10784) all_4_66 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10784) implies:
% 258.27/65.46 | | | | | | | | | | (10785) all_4_66 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10783), (10785) imply:
% 258.27/65.46 | | | | | | | | | | (10786) all_4_69 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10781), (10786) imply:
% 258.27/65.46 | | | | | | | | | | (10787) all_4_64 = n9
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (138), (10778), (10787) imply:
% 258.27/65.46 | | | | | | | | | | (10788) sum(n9, n9) = all_4_96
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (135), (10785), (10786) imply:
% 258.27/65.46 | | | | | | | | | | (10789) sum(n9, n9) = all_4_97
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_96, n9, n9,
% 258.27/65.46 | | | | | | | | | | simplifying with (114), (10788) gives:
% 258.27/65.46 | | | | | | | | | | (10790) all_4_96 = n7
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n9, n9,
% 258.27/65.46 | | | | | | | | | | simplifying with (10788), (10789) gives:
% 258.27/65.46 | | | | | | | | | | (10791) all_4_96 = all_4_97
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10790), (10791) imply:
% 258.27/65.46 | | | | | | | | | | (10792) all_4_97 = n7
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (234), (10790) imply:
% 258.27/65.46 | | | | | | | | | | (10793) pred(n7) = all_4_60
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (233), (10792) imply:
% 258.27/65.46 | | | | | | | | | | (10794) pred(n7) = all_4_63
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (203), (10790) imply:
% 258.27/65.46 | | | | | | | | | | (10795) succ(n7) = all_4_62
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (202), (10792) imply:
% 258.27/65.46 | | | | | | | | | | (10796) succ(n7) = all_4_59
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_59, n7,
% 258.27/65.46 | | | | | | | | | | simplifying with (194), (10796) gives:
% 258.27/65.46 | | | | | | | | | | (10797) all_4_59 = n8
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n7,
% 258.27/65.46 | | | | | | | | | | simplifying with (10795), (10796) gives:
% 258.27/65.46 | | | | | | | | | | (10798) all_4_59 = all_4_62
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_60, n7,
% 258.27/65.46 | | | | | | | | | | simplifying with (225), (10793) gives:
% 258.27/65.46 | | | | | | | | | | (10799) all_4_60 = n6
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n7,
% 258.27/65.46 | | | | | | | | | | simplifying with (10793), (10794) gives:
% 258.27/65.46 | | | | | | | | | | (10800) all_4_60 = all_4_63
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10797), (10798) imply:
% 258.27/65.46 | | | | | | | | | | (10801) all_4_62 = n8
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10801) implies:
% 258.27/65.46 | | | | | | | | | | (10802) all_4_62 = n8
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10799), (10800) imply:
% 258.27/65.46 | | | | | | | | | | (10803) all_4_63 = n6
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (143), (10797), (10799) imply:
% 258.27/65.46 | | | | | | | | | | (10804) sum(n6, n8) = all_4_58
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (142), (10799), (10802) imply:
% 258.27/65.46 | | | | | | | | | | (10805) sum(n6, n8) = all_4_56
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (140), (10797), (10803) imply:
% 258.27/65.46 | | | | | | | | | | (10806) sum(n6, n8) = all_4_57
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (139), (10802), (10803) imply:
% 258.27/65.46 | | | | | | | | | | (10807) sum(n6, n8) = all_4_61
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_58, n8, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (80), (10804) gives:
% 258.27/65.46 | | | | | | | | | | (10808) all_4_58 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n8, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (10804), (10806) gives:
% 258.27/65.46 | | | | | | | | | | (10809) all_4_57 = all_4_58
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n8, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (10805), (10806) gives:
% 258.27/65.46 | | | | | | | | | | (10810) all_4_56 = all_4_57
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n8, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (10805), (10807) gives:
% 258.27/65.46 | | | | | | | | | | (10811) all_4_56 = all_4_61
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10810), (10811) imply:
% 258.27/65.46 | | | | | | | | | | (10812) all_4_57 = all_4_61
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10812) implies:
% 258.27/65.46 | | | | | | | | | | (10813) all_4_57 = all_4_61
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10809), (10813) imply:
% 258.27/65.46 | | | | | | | | | | (10814) all_4_58 = all_4_61
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10814) implies:
% 258.27/65.46 | | | | | | | | | | (10815) all_4_58 = all_4_61
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10808), (10815) imply:
% 258.27/65.46 | | | | | | | | | | (10816) all_4_61 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10813), (10816) imply:
% 258.27/65.46 | | | | | | | | | | (10817) all_4_57 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10811), (10816) imply:
% 258.27/65.46 | | | | | | | | | | (10818) all_4_56 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (144), (10817), (10818) imply:
% 258.27/65.46 | | | | | | | | | | (10819) sum(n3, n3) = all_4_94
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (141), (10808), (10816) imply:
% 258.27/65.46 | | | | | | | | | | (10820) sum(n3, n3) = all_4_95
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_94, n3, n3,
% 258.27/65.46 | | | | | | | | | | simplifying with (42), (10819) gives:
% 258.27/65.46 | | | | | | | | | | (10821) all_4_94 = n6
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n3, n3,
% 258.27/65.46 | | | | | | | | | | simplifying with (10819), (10820) gives:
% 258.27/65.46 | | | | | | | | | | (10822) all_4_94 = all_4_95
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10821), (10822) imply:
% 258.27/65.46 | | | | | | | | | | (10823) all_4_95 = n6
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (236), (10821) imply:
% 258.27/65.46 | | | | | | | | | | (10824) pred(n6) = all_4_52
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (235), (10823) imply:
% 258.27/65.46 | | | | | | | | | | (10825) pred(n6) = all_4_55
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (205), (10821) imply:
% 258.27/65.46 | | | | | | | | | | (10826) succ(n6) = all_4_54
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (204), (10823) imply:
% 258.27/65.46 | | | | | | | | | | (10827) succ(n6) = all_4_51
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_51, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (193), (10827) gives:
% 258.27/65.46 | | | | | | | | | | (10828) all_4_51 = n7
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (10826), (10827) gives:
% 258.27/65.46 | | | | | | | | | | (10829) all_4_51 = all_4_54
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_52, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (224), (10824) gives:
% 258.27/65.46 | | | | | | | | | | (10830) all_4_52 = n5
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n6,
% 258.27/65.46 | | | | | | | | | | simplifying with (10824), (10825) gives:
% 258.27/65.46 | | | | | | | | | | (10831) all_4_52 = all_4_55
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10828), (10829) imply:
% 258.27/65.46 | | | | | | | | | | (10832) all_4_54 = n7
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10832) implies:
% 258.27/65.46 | | | | | | | | | | (10833) all_4_54 = n7
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10830), (10831) imply:
% 258.27/65.46 | | | | | | | | | | (10834) all_4_55 = n5
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (149), (10828), (10830) imply:
% 258.27/65.46 | | | | | | | | | | (10835) sum(n5, n7) = all_4_50
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (148), (10830), (10833) imply:
% 258.27/65.46 | | | | | | | | | | (10836) sum(n5, n7) = all_4_48
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (146), (10828), (10834) imply:
% 258.27/65.46 | | | | | | | | | | (10837) sum(n5, n7) = all_4_49
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (145), (10833), (10834) imply:
% 258.27/65.46 | | | | | | | | | | (10838) sum(n5, n7) = all_4_53
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_50, n7, n5,
% 258.27/65.46 | | | | | | | | | | simplifying with (68), (10835) gives:
% 258.27/65.46 | | | | | | | | | | (10839) all_4_50 = n1
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n7, n5,
% 258.27/65.46 | | | | | | | | | | simplifying with (10835), (10837) gives:
% 258.27/65.46 | | | | | | | | | | (10840) all_4_49 = all_4_50
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n7, n5,
% 258.27/65.46 | | | | | | | | | | simplifying with (10836), (10837) gives:
% 258.27/65.46 | | | | | | | | | | (10841) all_4_48 = all_4_49
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n7, n5,
% 258.27/65.46 | | | | | | | | | | simplifying with (10836), (10838) gives:
% 258.27/65.46 | | | | | | | | | | (10842) all_4_48 = all_4_53
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10841), (10842) imply:
% 258.27/65.46 | | | | | | | | | | (10843) all_4_49 = all_4_53
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10843) implies:
% 258.27/65.46 | | | | | | | | | | (10844) all_4_49 = all_4_53
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10840), (10844) imply:
% 258.27/65.46 | | | | | | | | | | (10845) all_4_50 = all_4_53
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10845) implies:
% 258.27/65.46 | | | | | | | | | | (10846) all_4_50 = all_4_53
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10839), (10846) imply:
% 258.27/65.46 | | | | | | | | | | (10847) all_4_53 = n1
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10844), (10847) imply:
% 258.27/65.46 | | | | | | | | | | (10848) all_4_49 = n1
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10842), (10847) imply:
% 258.27/65.46 | | | | | | | | | | (10849) all_4_48 = n1
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (150), (10848), (10849) imply:
% 258.27/65.46 | | | | | | | | | | (10850) sum(n1, n1) = all_4_92
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (147), (10839), (10847) imply:
% 258.27/65.46 | | | | | | | | | | (10851) sum(n1, n1) = all_4_93
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_92, n1, n1,
% 258.27/65.46 | | | | | | | | | | simplifying with (18), (10850) gives:
% 258.27/65.46 | | | | | | | | | | (10852) all_4_92 = n2
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n1, n1,
% 258.27/65.46 | | | | | | | | | | simplifying with (10850), (10851) gives:
% 258.27/65.46 | | | | | | | | | | (10853) all_4_92 = all_4_93
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10852), (10853) imply:
% 258.27/65.46 | | | | | | | | | | (10854) all_4_93 = n2
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10854) implies:
% 258.27/65.46 | | | | | | | | | | (10855) all_4_93 = n2
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (238), (10852) imply:
% 258.27/65.46 | | | | | | | | | | (10856) pred(n2) = all_4_44
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (237), (10855) imply:
% 258.27/65.46 | | | | | | | | | | (10857) pred(n2) = all_4_47
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (207), (10852) imply:
% 258.27/65.46 | | | | | | | | | | (10858) succ(n2) = all_4_46
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (206), (10855) imply:
% 258.27/65.46 | | | | | | | | | | (10859) succ(n2) = all_4_43
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_43, n2,
% 258.27/65.46 | | | | | | | | | | simplifying with (189), (10859) gives:
% 258.27/65.46 | | | | | | | | | | (10860) all_4_43 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n2,
% 258.27/65.46 | | | | | | | | | | simplifying with (10858), (10859) gives:
% 258.27/65.46 | | | | | | | | | | (10861) all_4_43 = all_4_46
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_44, n2,
% 258.27/65.46 | | | | | | | | | | simplifying with (220), (10856) gives:
% 258.27/65.46 | | | | | | | | | | (10862) all_4_44 = n1
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n2,
% 258.27/65.46 | | | | | | | | | | simplifying with (10856), (10857) gives:
% 258.27/65.46 | | | | | | | | | | (10863) all_4_44 = all_4_47
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10860), (10861) imply:
% 258.27/65.46 | | | | | | | | | | (10864) all_4_46 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10864) implies:
% 258.27/65.46 | | | | | | | | | | (10865) all_4_46 = n3
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10862), (10863) imply:
% 258.27/65.46 | | | | | | | | | | (10866) all_4_47 = n1
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (155), (10860), (10862) imply:
% 258.27/65.46 | | | | | | | | | | (10867) sum(n1, n3) = all_4_42
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (154), (10862), (10865) imply:
% 258.27/65.46 | | | | | | | | | | (10868) sum(n1, n3) = all_4_40
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (152), (10860), (10866) imply:
% 258.27/65.46 | | | | | | | | | | (10869) sum(n1, n3) = all_4_41
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (151), (10865), (10866) imply:
% 258.27/65.46 | | | | | | | | | | (10870) sum(n1, n3) = all_4_45
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_42, n3, n1,
% 258.27/65.46 | | | | | | | | | | simplifying with (20), (10867) gives:
% 258.27/65.46 | | | | | | | | | | (10871) all_4_42 = n4
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n3, n1,
% 258.27/65.46 | | | | | | | | | | simplifying with (10867), (10869) gives:
% 258.27/65.46 | | | | | | | | | | (10872) all_4_41 = all_4_42
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n3, n1,
% 258.27/65.46 | | | | | | | | | | simplifying with (10868), (10869) gives:
% 258.27/65.46 | | | | | | | | | | (10873) all_4_40 = all_4_41
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n3, n1,
% 258.27/65.46 | | | | | | | | | | simplifying with (10868), (10870) gives:
% 258.27/65.46 | | | | | | | | | | (10874) all_4_40 = all_4_45
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10873), (10874) imply:
% 258.27/65.46 | | | | | | | | | | (10875) all_4_41 = all_4_45
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10875) implies:
% 258.27/65.46 | | | | | | | | | | (10876) all_4_41 = all_4_45
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10872), (10876) imply:
% 258.27/65.46 | | | | | | | | | | (10877) all_4_42 = all_4_45
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | SIMP: (10877) implies:
% 258.27/65.46 | | | | | | | | | | (10878) all_4_42 = all_4_45
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10871), (10878) imply:
% 258.27/65.46 | | | | | | | | | | (10879) all_4_45 = n4
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10876), (10879) imply:
% 258.27/65.46 | | | | | | | | | | (10880) all_4_41 = n4
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10874), (10879) imply:
% 258.27/65.46 | | | | | | | | | | (10881) all_4_40 = n4
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (156), (10880), (10881) imply:
% 258.27/65.46 | | | | | | | | | | (10882) sum(n4, n4) = all_4_90
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (153), (10871), (10879) imply:
% 258.27/65.46 | | | | | | | | | | (10883) sum(n4, n4) = all_4_91
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_90, n4, n4,
% 258.27/65.46 | | | | | | | | | | simplifying with (54), (10882) gives:
% 258.27/65.46 | | | | | | | | | | (10884) all_4_90 = n8
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n4, n4,
% 258.27/65.46 | | | | | | | | | | simplifying with (10882), (10883) gives:
% 258.27/65.46 | | | | | | | | | | (10885) all_4_90 = all_4_91
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | COMBINE_EQS: (10884), (10885) imply:
% 258.27/65.46 | | | | | | | | | | (10886) all_4_91 = n8
% 258.27/65.46 | | | | | | | | | |
% 258.27/65.46 | | | | | | | | | | REDUCE: (240), (10884) imply:
% 258.27/65.47 | | | | | | | | | | (10887) pred(n8) = all_4_36
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (239), (10886) imply:
% 258.27/65.47 | | | | | | | | | | (10888) pred(n8) = all_4_39
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (209), (10884) imply:
% 258.27/65.47 | | | | | | | | | | (10889) succ(n8) = all_4_38
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (208), (10886) imply:
% 258.27/65.47 | | | | | | | | | | (10890) succ(n8) = all_4_35
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_35, n8,
% 258.27/65.47 | | | | | | | | | | simplifying with (195), (10890) gives:
% 258.27/65.47 | | | | | | | | | | (10891) all_4_35 = n9
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n8,
% 258.27/65.47 | | | | | | | | | | simplifying with (10889), (10890) gives:
% 258.27/65.47 | | | | | | | | | | (10892) all_4_35 = all_4_38
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_36, n8,
% 258.27/65.47 | | | | | | | | | | simplifying with (226), (10887) gives:
% 258.27/65.47 | | | | | | | | | | (10893) all_4_36 = n7
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n8,
% 258.27/65.47 | | | | | | | | | | simplifying with (10887), (10888) gives:
% 258.27/65.47 | | | | | | | | | | (10894) all_4_36 = all_4_39
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10891), (10892) imply:
% 258.27/65.47 | | | | | | | | | | (10895) all_4_38 = n9
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | SIMP: (10895) implies:
% 258.27/65.47 | | | | | | | | | | (10896) all_4_38 = n9
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10893), (10894) imply:
% 258.27/65.47 | | | | | | | | | | (10897) all_4_39 = n7
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (161), (10891), (10893) imply:
% 258.27/65.47 | | | | | | | | | | (10898) sum(n7, n9) = all_4_34
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (160), (10893), (10896) imply:
% 258.27/65.47 | | | | | | | | | | (10899) sum(n7, n9) = all_4_32
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (158), (10891), (10897) imply:
% 258.27/65.47 | | | | | | | | | | (10900) sum(n7, n9) = all_4_33
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (157), (10896), (10897) imply:
% 258.27/65.47 | | | | | | | | | | (10901) sum(n7, n9) = all_4_37
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_34, n9, n7,
% 258.27/65.47 | | | | | | | | | | simplifying with (92), (10898) gives:
% 258.27/65.47 | | | | | | | | | | (10902) all_4_34 = n5
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n9, n7,
% 258.27/65.47 | | | | | | | | | | simplifying with (10898), (10900) gives:
% 258.27/65.47 | | | | | | | | | | (10903) all_4_33 = all_4_34
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n9, n7,
% 258.27/65.47 | | | | | | | | | | simplifying with (10899), (10900) gives:
% 258.27/65.47 | | | | | | | | | | (10904) all_4_32 = all_4_33
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n9, n7,
% 258.27/65.47 | | | | | | | | | | simplifying with (10899), (10901) gives:
% 258.27/65.47 | | | | | | | | | | (10905) all_4_32 = all_4_37
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10904), (10905) imply:
% 258.27/65.47 | | | | | | | | | | (10906) all_4_33 = all_4_37
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | SIMP: (10906) implies:
% 258.27/65.47 | | | | | | | | | | (10907) all_4_33 = all_4_37
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10903), (10907) imply:
% 258.27/65.47 | | | | | | | | | | (10908) all_4_34 = all_4_37
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | SIMP: (10908) implies:
% 258.27/65.47 | | | | | | | | | | (10909) all_4_34 = all_4_37
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10902), (10909) imply:
% 258.27/65.47 | | | | | | | | | | (10910) all_4_37 = n5
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10907), (10910) imply:
% 258.27/65.47 | | | | | | | | | | (10911) all_4_33 = n5
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10905), (10910) imply:
% 258.27/65.47 | | | | | | | | | | (10912) all_4_32 = n5
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (162), (10911), (10912) imply:
% 258.27/65.47 | | | | | | | | | | (10913) sum(n5, n5) = all_4_88
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (159), (10902), (10910) imply:
% 258.27/65.47 | | | | | | | | | | (10914) sum(n5, n5) = all_4_89
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_88, n5, n5,
% 258.27/65.47 | | | | | | | | | | simplifying with (66), (10913) gives:
% 258.27/65.47 | | | | | | | | | | (10915) all_4_88 = n10
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n5, n5,
% 258.27/65.47 | | | | | | | | | | simplifying with (10913), (10914) gives:
% 258.27/65.47 | | | | | | | | | | (10916) all_4_88 = all_4_89
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | COMBINE_EQS: (10915), (10916) imply:
% 258.27/65.47 | | | | | | | | | | (10917) all_4_89 = n10
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (242), (10915) imply:
% 258.27/65.47 | | | | | | | | | | (10918) pred(n10) = all_4_28
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (241), (10917) imply:
% 258.27/65.47 | | | | | | | | | | (10919) pred(n10) = all_4_31
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (211), (10915) imply:
% 258.27/65.47 | | | | | | | | | | (10920) succ(n10) = all_4_30
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | REDUCE: (210), (10917) imply:
% 258.27/65.47 | | | | | | | | | | (10921) succ(n10) = all_4_27
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | BETA: splitting (10747) gives:
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | Case 1:
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | (10922) ~ (all_4_86 = all_4_87)
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_27, n10,
% 258.27/65.47 | | | | | | | | | | | simplifying with (197), (10921) gives:
% 258.27/65.47 | | | | | | | | | | | (10923) all_4_27 = n0
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (105), (114), (163), (164), (165),
% 258.27/65.47 | | | | | | | | | | | (166), (167), (168), (228), (10918), (10919),
% 258.27/65.47 | | | | | | | | | | | (10920), (10921), (10922), (10923) are
% 258.27/65.47 | | | | | | | | | | | inconsistent by sub-proof #155.
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | Case 2:
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | (10924) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 258.27/65.47 | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 258.27/65.47 | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 258.27/65.47 | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (151),
% 258.27/65.47 | | | | | | | | | | | (152), (153), (154), (155), (156), (157), (158),
% 258.27/65.47 | | | | | | | | | | | (159), (160), (161), (162), (189), (195), (220),
% 258.27/65.47 | | | | | | | | | | | (226), (10761), (10762), (10790), (10792),
% 258.27/65.47 | | | | | | | | | | | (10821), (10823), (10852), (10855), (10856),
% 258.27/65.47 | | | | | | | | | | | (10857), (10858), (10859), (10887), (10888),
% 258.27/65.47 | | | | | | | | | | | (10889), (10890), (10924) are inconsistent by
% 258.27/65.47 | | | | | | | | | | | sub-proof #82.
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | End of split
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | Case 2:
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | (10925) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 258.27/65.47 | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.47 | | | | | | | | | | all_4_101 = n0
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | BETA: splitting (10747) gives:
% 258.27/65.47 | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | Case 1:
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | (10926) ~ (all_4_86 = all_4_87)
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | BETA: splitting (10925) gives:
% 258.27/65.47 | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | Case 1:
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | (10927) all_4_101 = n6
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (229), (10927) imply:
% 258.27/65.47 | | | | | | | | | | | | (10928) pred(n6) = all_4_79
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (198), (10927) imply:
% 258.27/65.47 | | | | | | | | | | | | (10929) succ(n6) = all_4_75
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (193), (10929) gives:
% 258.27/65.47 | | | | | | | | | | | | (10930) all_4_75 = n7
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (224), (10928) gives:
% 258.27/65.47 | | | | | | | | | | | | (10931) all_4_79 = n5
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (128), (10930), (10931) imply:
% 258.27/65.47 | | | | | | | | | | | | (10932) sum(n5, n7) = all_4_73
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (10407), (10931) imply:
% 258.27/65.47 | | | | | | | | | | | | (10933) sum(n5, n10) = all_4_77
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (10405), (10930) imply:
% 258.27/65.47 | | | | | | | | | | | | (10934) sum(n8, n7) = all_4_74
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (68), (10932) gives:
% 258.27/65.47 | | | | | | | | | | | | (10935) all_4_73 = n1
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n10, n5,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (71), (10933) gives:
% 258.27/65.47 | | | | | | | | | | | | (10936) all_4_77 = n4
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n7, n8,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (101), (10934) gives:
% 258.27/65.47 | | | | | | | | | | | | (10937) all_4_74 = n4
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (10409), (10935) imply:
% 258.27/65.47 | | | | | | | | | | | | (10938) sum(n1, n7) = all_4_98
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REDUCE: (129), (10936), (10937) imply:
% 258.27/65.47 | | | | | | | | | | | | (10939) sum(n4, n4) = all_4_99
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n7, n1,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (24), (10938) gives:
% 258.27/65.47 | | | | | | | | | | | | (10940) all_4_98 = n8
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.27/65.47 | | | | | | | | | | | | simplifying with (54), (10939) gives:
% 258.27/65.47 | | | | | | | | | | | | (10941) all_4_99 = n8
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.27/65.47 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.47 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.47 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.47 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.47 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.47 | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.27/65.47 | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.27/65.47 | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.27/65.47 | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.27/65.47 | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.47 | | | | | | | | | | | | (240), (241), (242), (10926), (10939), (10940),
% 258.27/65.47 | | | | | | | | | | | | (10941) are inconsistent by sub-proof #152.
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | Case 2:
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | (10942) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 258.27/65.47 | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | BETA: splitting (10942) gives:
% 258.27/65.47 | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | Case 1:
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | (10943) all_4_101 = n5
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (229), (10943) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10944) pred(n5) = all_4_79
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (198), (10943) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10945) succ(n5) = all_4_75
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (192), (10945) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10946) all_4_75 = n6
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (223), (10944) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10947) all_4_79 = n4
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (128), (10946), (10947) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10948) sum(n4, n6) = all_4_73
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (10407), (10947) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10949) sum(n4, n10) = all_4_77
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (10405), (10946) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10950) sum(n8, n6) = all_4_74
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (56), (10948) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10951) all_4_73 = n10
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n10, n4,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (60), (10949) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10952) all_4_77 = n3
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n6, n8,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (100), (10950) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10953) all_4_74 = n3
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (10409), (10951) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10954) sum(n10, n7) = all_4_98
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REDUCE: (129), (10952), (10953) imply:
% 258.27/65.47 | | | | | | | | | | | | | (10955) sum(n3, n3) = all_4_99
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (42), (10955) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10956) all_4_99 = n6
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n7, n10,
% 258.27/65.47 | | | | | | | | | | | | | simplifying with (123), (10954) gives:
% 258.27/65.47 | | | | | | | | | | | | | (10957) all_4_98 = n6
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.27/65.47 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.47 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.47 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.47 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.47 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.47 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.27/65.47 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.27/65.47 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.27/65.47 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.27/65.47 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.47 | | | | | | | | | | | | | (240), (241), (242), (10926), (10955), (10956),
% 258.27/65.47 | | | | | | | | | | | | | (10957) are inconsistent by sub-proof #151.
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | Case 2:
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | (10958) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.27/65.47 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | BETA: splitting (10958) gives:
% 258.27/65.47 | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | Case 1:
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | (10959) all_4_101 = n4
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (229), (10959) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10960) pred(n4) = all_4_79
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (198), (10959) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10961) succ(n4) = all_4_75
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (191), (10961) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10962) all_4_75 = n5
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (222), (10960) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10963) all_4_79 = n3
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (128), (10962), (10963) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10964) sum(n3, n5) = all_4_73
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (10407), (10963) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10965) sum(n3, n10) = all_4_77
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (10405), (10962) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10966) sum(n8, n5) = all_4_74
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (44), (10964) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10967) all_4_73 = n8
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (49), (10965) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10968) all_4_77 = n2
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (99), (10966) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10969) all_4_74 = n2
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (10409), (10967) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10970) sum(n8, n7) = all_4_98
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REDUCE: (129), (10968), (10969) imply:
% 258.27/65.47 | | | | | | | | | | | | | | (10971) sum(n2, n2) = all_4_99
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (30), (10971) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10972) all_4_99 = n4
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 258.27/65.47 | | | | | | | | | | | | | | simplifying with (101), (10970) gives:
% 258.27/65.47 | | | | | | | | | | | | | | (10973) all_4_98 = n4
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.27/65.47 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.27/65.47 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.47 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.47 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.47 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.47 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 258.27/65.47 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 258.27/65.47 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.27/65.47 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 258.27/65.47 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.47 | | | | | | | | | | | | | | (240), (241), (242), (10926), (10971), (10972),
% 258.27/65.47 | | | | | | | | | | | | | | (10973) are inconsistent by sub-proof #150.
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | Case 2:
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | (10974) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.47 | | | | | | | | | | | | | | all_4_101 = n0
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | BETA: splitting (10974) gives:
% 258.27/65.47 | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | Case 1:
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | (10975) all_4_101 = n3
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (229), (10975) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10976) pred(n3) = all_4_79
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (198), (10975) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10977) succ(n3) = all_4_75
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (190), (10977) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10978) all_4_75 = n4
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (221), (10976) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10979) all_4_79 = n2
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (128), (10978), (10979) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10980) sum(n2, n4) = all_4_73
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (10407), (10979) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10981) sum(n2, n10) = all_4_77
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (10405), (10978) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10982) sum(n8, n4) = all_4_74
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (32), (10980) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10983) all_4_73 = n6
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (38), (10981) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10984) all_4_77 = n1
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (98), (10982) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10985) all_4_74 = n1
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (10409), (10983) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10986) sum(n6, n7) = all_4_98
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | REDUCE: (129), (10984), (10985) imply:
% 258.27/65.47 | | | | | | | | | | | | | | | (10987) sum(n1, n1) = all_4_99
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (18), (10987) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10988) all_4_99 = n2
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 258.27/65.47 | | | | | | | | | | | | | | | simplifying with (79), (10986) gives:
% 258.27/65.47 | | | | | | | | | | | | | | | (10989) all_4_98 = n2
% 258.27/65.47 | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.27/65.48 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.48 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.48 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.48 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.48 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.48 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.27/65.48 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.27/65.48 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.27/65.48 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.27/65.48 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.48 | | | | | | | | | | | | | | | (240), (241), (242), (10926), (10987), (10988),
% 258.27/65.48 | | | | | | | | | | | | | | | (10989) are inconsistent by sub-proof #149.
% 258.27/65.48 | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | Case 2:
% 258.27/65.48 | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | (10990) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.48 | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | BETA: splitting (10990) gives:
% 258.27/65.48 | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | Case 1:
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | (10991) all_4_101 = n2
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (229), (10991) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10992) pred(n2) = all_4_79
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (198), (10991) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10993) succ(n2) = all_4_75
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (189), (10993) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10994) all_4_75 = n3
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (220), (10992) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10995) all_4_79 = n1
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (128), (10994), (10995) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10996) sum(n1, n3) = all_4_73
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (10407), (10995) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10997) sum(n1, n10) = all_4_77
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (10405), (10994) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10998) sum(n8, n3) = all_4_74
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (20), (10996) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (10999) all_4_73 = n4
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (27), (10997) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (11000) all_4_77 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (97), (10998) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (11001) all_4_74 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (10409), (10999) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (11002) sum(n4, n7) = all_4_98
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REDUCE: (129), (11000), (11001) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | (11003) sum(n0, n0) = all_4_99
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (6), (11003) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (11004) all_4_99 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.27/65.48 | | | | | | | | | | | | | | | | simplifying with (57), (11002) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | (11005) all_4_98 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.27/65.48 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.48 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.48 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.48 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.48 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 258.27/65.48 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 258.27/65.48 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 258.27/65.48 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.27/65.48 | | | | | | | | | | | | | | | | (241), (242), (10926), (11003), (11004), (11005)
% 258.27/65.48 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | Case 2:
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | (11006) all_4_101 = n1 | all_4_101 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | BETA: splitting (11006) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11007) all_4_101 = n1
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (229), (11007) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11008) pred(n1) = all_4_79
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (198), (11007) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11009) succ(n1) = all_4_75
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (188), (11009) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11010) all_4_75 = n2
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (219), (11008) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11011) all_4_79 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (128), (11010), (11011) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11012) sum(n0, n2) = all_4_73
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (10407), (11011) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11013) sum(n0, n10) = all_4_77
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (10405), (11010) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11014) sum(n8, n2) = all_4_74
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (8), (11012) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11015) all_4_73 = n2
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (16), (11013) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11016) all_4_77 = n10
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (96), (11014) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11017) all_4_74 = n10
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (10409), (11015) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11018) sum(n2, n7) = all_4_98
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (129), (11016), (11017) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11019) sum(n10, n10) = all_4_99
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (35), (11018) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11020) all_4_98 = n9
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (126), (11019) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11021) all_4_99 = n9
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (240), (241), (242), (10926), (11019), (11020),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11021) are inconsistent by sub-proof #146.
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11022) all_4_101 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (229), (11022) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11023) pred(n0) = all_4_79
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (198), (11022) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11024) succ(n0) = all_4_75
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (187), (11024) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11025) all_4_75 = n1
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (218), (11023) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11026) all_4_79 = n10
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (128), (11025), (11026) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11027) sum(n10, n1) = all_4_73
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (10407), (11026) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11028) sum(n10, n10) = all_4_77
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (10405), (11025) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11029) sum(n8, n1) = all_4_74
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (95), (11029) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11030) all_4_74 = n9
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (117), (11027) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11031) all_4_73 = n0
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (126), (11028) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11032) all_4_77 = n9
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (10409), (11031) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11033) sum(n0, n7) = all_4_98
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REDUCE: (129), (11030), (11032) imply:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11034) sum(n9, n9) = all_4_99
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (13), (11033) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11035) all_4_98 = n7
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.27/65.48 | | | | | | | | | | | | | | | | | simplifying with (114), (11034) gives:
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11036) all_4_99 = n7
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (240), (241), (242), (10747), (11034), (11035),
% 258.27/65.48 | | | | | | | | | | | | | | | | | (11036) are inconsistent by sub-proof #83.
% 258.27/65.48 | | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | | End of split
% 258.27/65.48 | | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | | End of split
% 258.27/65.48 | | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | | End of split
% 258.27/65.48 | | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | | End of split
% 258.27/65.48 | | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | End of split
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | End of split
% 258.27/65.48 | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | Case 2:
% 258.27/65.48 | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | (11037) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 258.27/65.48 | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 258.27/65.48 | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 258.27/65.48 | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 258.27/65.48 | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | BETA: splitting (10925) gives:
% 258.27/65.48 | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | Case 1:
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | (11038) all_4_101 = n6
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (229), (11038) imply:
% 258.27/65.48 | | | | | | | | | | | | (11039) pred(n6) = all_4_79
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (198), (11038) imply:
% 258.27/65.48 | | | | | | | | | | | | (11040) succ(n6) = all_4_75
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (193), (11040) gives:
% 258.27/65.48 | | | | | | | | | | | | (11041) all_4_75 = n7
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (224), (11039) gives:
% 258.27/65.48 | | | | | | | | | | | | (11042) all_4_79 = n5
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (128), (11041), (11042) imply:
% 258.27/65.48 | | | | | | | | | | | | (11043) sum(n5, n7) = all_4_73
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (10407), (11042) imply:
% 258.27/65.48 | | | | | | | | | | | | (11044) sum(n5, n10) = all_4_77
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (10405), (11041) imply:
% 258.27/65.48 | | | | | | | | | | | | (11045) sum(n8, n7) = all_4_74
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (68), (11043) gives:
% 258.27/65.48 | | | | | | | | | | | | (11046) all_4_73 = n1
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n10, n5,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (71), (11044) gives:
% 258.27/65.48 | | | | | | | | | | | | (11047) all_4_77 = n4
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n7, n8,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (101), (11045) gives:
% 258.27/65.48 | | | | | | | | | | | | (11048) all_4_74 = n4
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (10409), (11046) imply:
% 258.27/65.48 | | | | | | | | | | | | (11049) sum(n1, n7) = all_4_98
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (129), (11047), (11048) imply:
% 258.27/65.48 | | | | | | | | | | | | (11050) sum(n4, n4) = all_4_99
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n7, n1,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (24), (11049) gives:
% 258.27/65.48 | | | | | | | | | | | | (11051) all_4_98 = n8
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (54), (11050) gives:
% 258.27/65.48 | | | | | | | | | | | | (11052) all_4_99 = n8
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (232), (11051) imply:
% 258.27/65.48 | | | | | | | | | | | | (11053) pred(n8) = all_4_68
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (231), (11052) imply:
% 258.27/65.48 | | | | | | | | | | | | (11054) pred(n8) = all_4_71
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (201), (11051) imply:
% 258.27/65.48 | | | | | | | | | | | | (11055) succ(n8) = all_4_70
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (200), (11052) imply:
% 258.27/65.48 | | | | | | | | | | | | (11056) succ(n8) = all_4_67
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (195), (11056) gives:
% 258.27/65.48 | | | | | | | | | | | | (11057) all_4_67 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11055), (11056) gives:
% 258.27/65.48 | | | | | | | | | | | | (11058) all_4_67 = all_4_70
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (226), (11053) gives:
% 258.27/65.48 | | | | | | | | | | | | (11059) all_4_68 = n7
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11053), (11054) gives:
% 258.27/65.48 | | | | | | | | | | | | (11060) all_4_68 = all_4_71
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11057), (11058) imply:
% 258.27/65.48 | | | | | | | | | | | | (11061) all_4_70 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11061) implies:
% 258.27/65.48 | | | | | | | | | | | | (11062) all_4_70 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11059), (11060) imply:
% 258.27/65.48 | | | | | | | | | | | | (11063) all_4_71 = n7
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (137), (11057), (11059) imply:
% 258.27/65.48 | | | | | | | | | | | | (11064) sum(n7, n9) = all_4_66
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (136), (11059), (11062) imply:
% 258.27/65.48 | | | | | | | | | | | | (11065) sum(n7, n9) = all_4_64
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (134), (11057), (11063) imply:
% 258.27/65.48 | | | | | | | | | | | | (11066) sum(n7, n9) = all_4_65
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (133), (11062), (11063) imply:
% 258.27/65.48 | | | | | | | | | | | | (11067) sum(n7, n9) = all_4_69
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (92), (11066) gives:
% 258.27/65.48 | | | | | | | | | | | | (11068) all_4_65 = n5
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11064), (11066) gives:
% 258.27/65.48 | | | | | | | | | | | | (11069) all_4_65 = all_4_66
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11064), (11065) gives:
% 258.27/65.48 | | | | | | | | | | | | (11070) all_4_64 = all_4_66
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11065), (11067) gives:
% 258.27/65.48 | | | | | | | | | | | | (11071) all_4_64 = all_4_69
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11070), (11071) imply:
% 258.27/65.48 | | | | | | | | | | | | (11072) all_4_66 = all_4_69
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11072) implies:
% 258.27/65.48 | | | | | | | | | | | | (11073) all_4_66 = all_4_69
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11068), (11069) imply:
% 258.27/65.48 | | | | | | | | | | | | (11074) all_4_66 = n5
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11074) implies:
% 258.27/65.48 | | | | | | | | | | | | (11075) all_4_66 = n5
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11073), (11075) imply:
% 258.27/65.48 | | | | | | | | | | | | (11076) all_4_69 = n5
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11071), (11076) imply:
% 258.27/65.48 | | | | | | | | | | | | (11077) all_4_64 = n5
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (138), (11068), (11077) imply:
% 258.27/65.48 | | | | | | | | | | | | (11078) sum(n5, n5) = all_4_96
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (135), (11075), (11076) imply:
% 258.27/65.48 | | | | | | | | | | | | (11079) sum(n5, n5) = all_4_97
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (66), (11078) gives:
% 258.27/65.48 | | | | | | | | | | | | (11080) all_4_96 = n10
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11078), (11079) gives:
% 258.27/65.48 | | | | | | | | | | | | (11081) all_4_96 = all_4_97
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11080), (11081) imply:
% 258.27/65.48 | | | | | | | | | | | | (11082) all_4_97 = n10
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (234), (11080) imply:
% 258.27/65.48 | | | | | | | | | | | | (11083) pred(n10) = all_4_60
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (233), (11082) imply:
% 258.27/65.48 | | | | | | | | | | | | (11084) pred(n10) = all_4_63
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (203), (11080) imply:
% 258.27/65.48 | | | | | | | | | | | | (11085) succ(n10) = all_4_62
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (202), (11082) imply:
% 258.27/65.48 | | | | | | | | | | | | (11086) succ(n10) = all_4_59
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (197), (11086) gives:
% 258.27/65.48 | | | | | | | | | | | | (11087) all_4_59 = n0
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11085), (11086) gives:
% 258.27/65.48 | | | | | | | | | | | | (11088) all_4_59 = all_4_62
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (228), (11083) gives:
% 258.27/65.48 | | | | | | | | | | | | (11089) all_4_60 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11083), (11084) gives:
% 258.27/65.48 | | | | | | | | | | | | (11090) all_4_60 = all_4_63
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11087), (11088) imply:
% 258.27/65.48 | | | | | | | | | | | | (11091) all_4_62 = n0
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11091) implies:
% 258.27/65.48 | | | | | | | | | | | | (11092) all_4_62 = n0
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11089), (11090) imply:
% 258.27/65.48 | | | | | | | | | | | | (11093) all_4_63 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (143), (11087), (11089) imply:
% 258.27/65.48 | | | | | | | | | | | | (11094) sum(n9, n0) = all_4_58
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (142), (11089), (11092) imply:
% 258.27/65.48 | | | | | | | | | | | | (11095) sum(n9, n0) = all_4_56
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (140), (11087), (11093) imply:
% 258.27/65.48 | | | | | | | | | | | | (11096) sum(n9, n0) = all_4_57
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (139), (11092), (11093) imply:
% 258.27/65.48 | | | | | | | | | | | | (11097) sum(n9, n0) = all_4_61
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_58, n0, n9,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (105), (11094) gives:
% 258.27/65.48 | | | | | | | | | | | | (11098) all_4_58 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11094), (11096) gives:
% 258.27/65.48 | | | | | | | | | | | | (11099) all_4_57 = all_4_58
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11095), (11096) gives:
% 258.27/65.48 | | | | | | | | | | | | (11100) all_4_56 = all_4_57
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11095), (11097) gives:
% 258.27/65.48 | | | | | | | | | | | | (11101) all_4_56 = all_4_61
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11100), (11101) imply:
% 258.27/65.48 | | | | | | | | | | | | (11102) all_4_57 = all_4_61
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11102) implies:
% 258.27/65.48 | | | | | | | | | | | | (11103) all_4_57 = all_4_61
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11099), (11103) imply:
% 258.27/65.48 | | | | | | | | | | | | (11104) all_4_58 = all_4_61
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11104) implies:
% 258.27/65.48 | | | | | | | | | | | | (11105) all_4_58 = all_4_61
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11098), (11105) imply:
% 258.27/65.48 | | | | | | | | | | | | (11106) all_4_61 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11103), (11106) imply:
% 258.27/65.48 | | | | | | | | | | | | (11107) all_4_57 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11101), (11106) imply:
% 258.27/65.48 | | | | | | | | | | | | (11108) all_4_56 = n9
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (144), (11107), (11108) imply:
% 258.27/65.48 | | | | | | | | | | | | (11109) sum(n9, n9) = all_4_94
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (141), (11098), (11106) imply:
% 258.27/65.48 | | | | | | | | | | | | (11110) sum(n9, n9) = all_4_95
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (114), (11109) gives:
% 258.27/65.48 | | | | | | | | | | | | (11111) all_4_94 = n7
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11109), (11110) gives:
% 258.27/65.48 | | | | | | | | | | | | (11112) all_4_94 = all_4_95
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11111), (11112) imply:
% 258.27/65.48 | | | | | | | | | | | | (11113) all_4_95 = n7
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (236), (11111) imply:
% 258.27/65.48 | | | | | | | | | | | | (11114) pred(n7) = all_4_52
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (235), (11113) imply:
% 258.27/65.48 | | | | | | | | | | | | (11115) pred(n7) = all_4_55
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (205), (11111) imply:
% 258.27/65.48 | | | | | | | | | | | | (11116) succ(n7) = all_4_54
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (204), (11113) imply:
% 258.27/65.48 | | | | | | | | | | | | (11117) succ(n7) = all_4_51
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (194), (11117) gives:
% 258.27/65.48 | | | | | | | | | | | | (11118) all_4_51 = n8
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11116), (11117) gives:
% 258.27/65.48 | | | | | | | | | | | | (11119) all_4_51 = all_4_54
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (225), (11114) gives:
% 258.27/65.48 | | | | | | | | | | | | (11120) all_4_52 = n6
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 258.27/65.48 | | | | | | | | | | | | simplifying with (11114), (11115) gives:
% 258.27/65.48 | | | | | | | | | | | | (11121) all_4_52 = all_4_55
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11118), (11119) imply:
% 258.27/65.48 | | | | | | | | | | | | (11122) all_4_54 = n8
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | SIMP: (11122) implies:
% 258.27/65.48 | | | | | | | | | | | | (11123) all_4_54 = n8
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | COMBINE_EQS: (11120), (11121) imply:
% 258.27/65.48 | | | | | | | | | | | | (11124) all_4_55 = n6
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (149), (11118), (11120) imply:
% 258.27/65.48 | | | | | | | | | | | | (11125) sum(n6, n8) = all_4_50
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (148), (11120), (11123) imply:
% 258.27/65.48 | | | | | | | | | | | | (11126) sum(n6, n8) = all_4_48
% 258.27/65.48 | | | | | | | | | | | |
% 258.27/65.48 | | | | | | | | | | | | REDUCE: (146), (11118), (11124) imply:
% 258.27/65.49 | | | | | | | | | | | | (11127) sum(n6, n8) = all_4_49
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (145), (11123), (11124) imply:
% 258.27/65.49 | | | | | | | | | | | | (11128) sum(n6, n8) = all_4_53
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_50, n8, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (80), (11125) gives:
% 258.27/65.49 | | | | | | | | | | | | (11129) all_4_50 = n3
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11125), (11127) gives:
% 258.27/65.49 | | | | | | | | | | | | (11130) all_4_49 = all_4_50
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11126), (11127) gives:
% 258.27/65.49 | | | | | | | | | | | | (11131) all_4_48 = all_4_49
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11126), (11128) gives:
% 258.27/65.49 | | | | | | | | | | | | (11132) all_4_48 = all_4_53
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11131), (11132) imply:
% 258.27/65.49 | | | | | | | | | | | | (11133) all_4_49 = all_4_53
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | SIMP: (11133) implies:
% 258.27/65.49 | | | | | | | | | | | | (11134) all_4_49 = all_4_53
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11130), (11134) imply:
% 258.27/65.49 | | | | | | | | | | | | (11135) all_4_50 = all_4_53
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | SIMP: (11135) implies:
% 258.27/65.49 | | | | | | | | | | | | (11136) all_4_50 = all_4_53
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11129), (11136) imply:
% 258.27/65.49 | | | | | | | | | | | | (11137) all_4_53 = n3
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11134), (11137) imply:
% 258.27/65.49 | | | | | | | | | | | | (11138) all_4_49 = n3
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11132), (11137) imply:
% 258.27/65.49 | | | | | | | | | | | | (11139) all_4_48 = n3
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (150), (11138), (11139) imply:
% 258.27/65.49 | | | | | | | | | | | | (11140) sum(n3, n3) = all_4_92
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (147), (11129), (11137) imply:
% 258.27/65.49 | | | | | | | | | | | | (11141) sum(n3, n3) = all_4_93
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (42), (11140) gives:
% 258.27/65.49 | | | | | | | | | | | | (11142) all_4_92 = n6
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11140), (11141) gives:
% 258.27/65.49 | | | | | | | | | | | | (11143) all_4_92 = all_4_93
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11142), (11143) imply:
% 258.27/65.49 | | | | | | | | | | | | (11144) all_4_93 = n6
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | SIMP: (11144) implies:
% 258.27/65.49 | | | | | | | | | | | | (11145) all_4_93 = n6
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (238), (11142) imply:
% 258.27/65.49 | | | | | | | | | | | | (11146) pred(n6) = all_4_44
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (237), (11145) imply:
% 258.27/65.49 | | | | | | | | | | | | (11147) pred(n6) = all_4_47
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (207), (11142) imply:
% 258.27/65.49 | | | | | | | | | | | | (11148) succ(n6) = all_4_46
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (206), (11145) imply:
% 258.27/65.49 | | | | | | | | | | | | (11149) succ(n6) = all_4_43
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_43, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (193), (11149) gives:
% 258.27/65.49 | | | | | | | | | | | | (11150) all_4_43 = n7
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11148), (11149) gives:
% 258.27/65.49 | | | | | | | | | | | | (11151) all_4_43 = all_4_46
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_44, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (224), (11146) gives:
% 258.27/65.49 | | | | | | | | | | | | (11152) all_4_44 = n5
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n6,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11146), (11147) gives:
% 258.27/65.49 | | | | | | | | | | | | (11153) all_4_44 = all_4_47
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11150), (11151) imply:
% 258.27/65.49 | | | | | | | | | | | | (11154) all_4_46 = n7
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | SIMP: (11154) implies:
% 258.27/65.49 | | | | | | | | | | | | (11155) all_4_46 = n7
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11152), (11153) imply:
% 258.27/65.49 | | | | | | | | | | | | (11156) all_4_47 = n5
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (155), (11150), (11152) imply:
% 258.27/65.49 | | | | | | | | | | | | (11157) sum(n5, n7) = all_4_42
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (154), (11152), (11155) imply:
% 258.27/65.49 | | | | | | | | | | | | (11158) sum(n5, n7) = all_4_40
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (152), (11150), (11156) imply:
% 258.27/65.49 | | | | | | | | | | | | (11159) sum(n5, n7) = all_4_41
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (151), (11155), (11156) imply:
% 258.27/65.49 | | | | | | | | | | | | (11160) sum(n5, n7) = all_4_45
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_42, n7, n5,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (68), (11157) gives:
% 258.27/65.49 | | | | | | | | | | | | (11161) all_4_42 = n1
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n7, n5,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11157), (11159) gives:
% 258.27/65.49 | | | | | | | | | | | | (11162) all_4_41 = all_4_42
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n7, n5,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11158), (11159) gives:
% 258.27/65.49 | | | | | | | | | | | | (11163) all_4_40 = all_4_41
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n7, n5,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11158), (11160) gives:
% 258.27/65.49 | | | | | | | | | | | | (11164) all_4_40 = all_4_45
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11163), (11164) imply:
% 258.27/65.49 | | | | | | | | | | | | (11165) all_4_41 = all_4_45
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | SIMP: (11165) implies:
% 258.27/65.49 | | | | | | | | | | | | (11166) all_4_41 = all_4_45
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11162), (11166) imply:
% 258.27/65.49 | | | | | | | | | | | | (11167) all_4_42 = all_4_45
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | SIMP: (11167) implies:
% 258.27/65.49 | | | | | | | | | | | | (11168) all_4_42 = all_4_45
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11161), (11168) imply:
% 258.27/65.49 | | | | | | | | | | | | (11169) all_4_45 = n1
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11166), (11169) imply:
% 258.27/65.49 | | | | | | | | | | | | (11170) all_4_41 = n1
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11164), (11169) imply:
% 258.27/65.49 | | | | | | | | | | | | (11171) all_4_40 = n1
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (156), (11170), (11171) imply:
% 258.27/65.49 | | | | | | | | | | | | (11172) sum(n1, n1) = all_4_90
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (153), (11161), (11169) imply:
% 258.27/65.49 | | | | | | | | | | | | (11173) sum(n1, n1) = all_4_91
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_90, n1, n1,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (18), (11172) gives:
% 258.27/65.49 | | | | | | | | | | | | (11174) all_4_90 = n2
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n1, n1,
% 258.27/65.49 | | | | | | | | | | | | simplifying with (11172), (11173) gives:
% 258.27/65.49 | | | | | | | | | | | | (11175) all_4_90 = all_4_91
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | COMBINE_EQS: (11174), (11175) imply:
% 258.27/65.49 | | | | | | | | | | | | (11176) all_4_91 = n2
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (240), (11174) imply:
% 258.27/65.49 | | | | | | | | | | | | (11177) pred(n2) = all_4_36
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (239), (11176) imply:
% 258.27/65.49 | | | | | | | | | | | | (11178) pred(n2) = all_4_39
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (209), (11174) imply:
% 258.27/65.49 | | | | | | | | | | | | (11179) succ(n2) = all_4_38
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | REDUCE: (208), (11176) imply:
% 258.27/65.49 | | | | | | | | | | | | (11180) succ(n2) = all_4_35
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | BETA: splitting (11037) gives:
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | (11181) ~ (all_4_88 = all_4_89)
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_35, n2,
% 258.27/65.49 | | | | | | | | | | | | | simplifying with (189), (11180) gives:
% 258.27/65.49 | | | | | | | | | | | | | (11182) all_4_35 = n3
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (157), (158), (159),
% 258.27/65.49 | | | | | | | | | | | | | (160), (161), (162), (220), (11177), (11178),
% 258.27/65.49 | | | | | | | | | | | | | (11179), (11180), (11181), (11182) are
% 258.27/65.49 | | | | | | | | | | | | | inconsistent by sub-proof #139.
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | Case 2:
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | (11183) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 258.27/65.49 | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.27/65.49 | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (145),
% 258.27/65.49 | | | | | | | | | | | | | (146), (147), (148), (149), (150), (151), (152),
% 258.27/65.49 | | | | | | | | | | | | | (153), (154), (155), (156), (193), (194), (224),
% 258.27/65.49 | | | | | | | | | | | | | (225), (11051), (11052), (11080), (11082),
% 258.27/65.49 | | | | | | | | | | | | | (11111), (11113), (11114), (11115), (11116),
% 258.27/65.49 | | | | | | | | | | | | | (11117), (11146), (11147), (11148), (11149),
% 258.27/65.49 | | | | | | | | | | | | | (11183) are inconsistent by sub-proof #80.
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | End of split
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | Case 2:
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | (11184) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 258.27/65.49 | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | BETA: splitting (11037) gives:
% 258.27/65.49 | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | (11185) ~ (all_4_88 = all_4_89)
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | BETA: splitting (11184) gives:
% 258.27/65.49 | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | (11186) all_4_101 = n5
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (229), (11186) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11187) pred(n5) = all_4_79
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (198), (11186) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11188) succ(n5) = all_4_75
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (192), (11188) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11189) all_4_75 = n6
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (223), (11187) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11190) all_4_79 = n4
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (128), (11189), (11190) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11191) sum(n4, n6) = all_4_73
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (10407), (11190) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11192) sum(n4, n10) = all_4_77
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (10405), (11189) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11193) sum(n8, n6) = all_4_74
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (56), (11191) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11194) all_4_73 = n10
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n10, n4,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (60), (11192) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11195) all_4_77 = n3
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n6, n8,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (100), (11193) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11196) all_4_74 = n3
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (10409), (11194) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11197) sum(n10, n7) = all_4_98
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REDUCE: (129), (11195), (11196) imply:
% 258.27/65.49 | | | | | | | | | | | | | | (11198) sum(n3, n3) = all_4_99
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (42), (11198) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11199) all_4_99 = n6
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n7, n10,
% 258.27/65.49 | | | | | | | | | | | | | | simplifying with (123), (11197) gives:
% 258.27/65.49 | | | | | | | | | | | | | | (11200) all_4_98 = n6
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.27/65.49 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.49 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.49 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.49 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.49 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 258.27/65.49 | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 258.27/65.49 | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 258.27/65.49 | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 258.27/65.49 | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.27/65.49 | | | | | | | | | | | | | | (11185), (11198), (11199), (11200) are
% 258.27/65.49 | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | Case 2:
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | (11201) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.27/65.49 | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | BETA: splitting (11201) gives:
% 258.27/65.49 | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | (11202) all_4_101 = n4
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (229), (11202) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11203) pred(n4) = all_4_79
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (198), (11202) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11204) succ(n4) = all_4_75
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (191), (11204) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11205) all_4_75 = n5
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (222), (11203) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11206) all_4_79 = n3
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (128), (11205), (11206) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11207) sum(n3, n5) = all_4_73
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (10407), (11206) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11208) sum(n3, n10) = all_4_77
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (10405), (11205) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11209) sum(n8, n5) = all_4_74
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (44), (11207) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11210) all_4_73 = n8
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (49), (11208) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11211) all_4_77 = n2
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (99), (11209) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11212) all_4_74 = n2
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (10409), (11210) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11213) sum(n8, n7) = all_4_98
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REDUCE: (129), (11211), (11212) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | (11214) sum(n2, n2) = all_4_99
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (30), (11214) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11215) all_4_99 = n4
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 258.27/65.49 | | | | | | | | | | | | | | | simplifying with (101), (11213) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | (11216) all_4_98 = n4
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.27/65.49 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.27/65.49 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.49 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.49 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.49 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 258.27/65.49 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 258.27/65.49 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 258.27/65.49 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 258.27/65.49 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.27/65.49 | | | | | | | | | | | | | | | (11185), (11214), (11215), (11216) are
% 258.27/65.49 | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | Case 2:
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | (11217) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.49 | | | | | | | | | | | | | | | all_4_101 = n0
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | BETA: splitting (11217) gives:
% 258.27/65.49 | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | (11218) all_4_101 = n3
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (229), (11218) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11219) pred(n3) = all_4_79
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (198), (11218) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11220) succ(n3) = all_4_75
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (190), (11220) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11221) all_4_75 = n4
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (221), (11219) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11222) all_4_79 = n2
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (128), (11221), (11222) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11223) sum(n2, n4) = all_4_73
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (10407), (11222) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11224) sum(n2, n10) = all_4_77
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (10405), (11221) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11225) sum(n8, n4) = all_4_74
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (32), (11223) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11226) all_4_73 = n6
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (38), (11224) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11227) all_4_77 = n1
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (98), (11225) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11228) all_4_74 = n1
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (10409), (11226) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11229) sum(n6, n7) = all_4_98
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REDUCE: (129), (11227), (11228) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11230) sum(n1, n1) = all_4_99
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (18), (11230) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11231) all_4_99 = n2
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 258.27/65.49 | | | | | | | | | | | | | | | | simplifying with (79), (11229) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | (11232) all_4_98 = n2
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.27/65.49 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.27/65.49 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.49 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.49 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.49 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 258.27/65.49 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 258.27/65.49 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 258.27/65.49 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 258.27/65.49 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.27/65.49 | | | | | | | | | | | | | | | | (11185), (11230), (11231), (11232) are
% 258.27/65.49 | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | Case 2:
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | (11233) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | BETA: splitting (11233) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11234) all_4_101 = n2
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (229), (11234) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11235) pred(n2) = all_4_79
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (198), (11234) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11236) succ(n2) = all_4_75
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (189), (11236) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11237) all_4_75 = n3
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (220), (11235) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11238) all_4_79 = n1
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (128), (11237), (11238) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11239) sum(n1, n3) = all_4_73
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (10407), (11238) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11240) sum(n1, n10) = all_4_77
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (10405), (11237) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11241) sum(n8, n3) = all_4_74
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (20), (11239) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11242) all_4_73 = n4
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (27), (11240) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11243) all_4_77 = n0
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (97), (11241) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11244) all_4_74 = n0
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (10409), (11242) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11245) sum(n4, n7) = all_4_98
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REDUCE: (129), (11243), (11244) imply:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11246) sum(n0, n0) = all_4_99
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (6), (11246) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11247) all_4_99 = n0
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.27/65.49 | | | | | | | | | | | | | | | | | simplifying with (57), (11245) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11248) all_4_98 = n0
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (11185),
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11246), (11247), (11248) are inconsistent by
% 258.27/65.49 | | | | | | | | | | | | | | | | | sub-proof #131.
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | (11249) all_4_101 = n1 | all_4_101 = n0
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | BETA: splitting (11249) gives:
% 258.27/65.49 | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.49 | | | | | | | | | | | | | | | | | |
% 258.27/65.49 | | | | | | | | | | | | | | | | | | (11250) all_4_101 = n1
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (229), (11250) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11251) pred(n1) = all_4_79
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (198), (11250) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11252) succ(n1) = all_4_75
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (188), (11252) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11253) all_4_75 = n2
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (219), (11251) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11254) all_4_79 = n0
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (128), (11253), (11254) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11255) sum(n0, n2) = all_4_73
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11254) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11256) sum(n0, n10) = all_4_77
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11253) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11257) sum(n8, n2) = all_4_74
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (8), (11255) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11258) all_4_73 = n2
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (16), (11256) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11259) all_4_77 = n10
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (96), (11257) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11260) all_4_74 = n10
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11258) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11261) sum(n2, n7) = all_4_98
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (129), (11259), (11260) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11262) sum(n10, n10) = all_4_99
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (35), (11261) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11263) all_4_98 = n9
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (126), (11262) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11264) all_4_99 = n9
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11185), (11262), (11263), (11264) are
% 258.27/65.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11265) all_4_101 = n0
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (229), (11265) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11266) pred(n0) = all_4_79
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (198), (11265) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11267) succ(n0) = all_4_75
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (187), (11267) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11268) all_4_75 = n1
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (218), (11266) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11269) all_4_79 = n10
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (128), (11268), (11269) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11270) sum(n10, n1) = all_4_73
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11269) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11271) sum(n10, n10) = all_4_77
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11268) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11272) sum(n8, n1) = all_4_74
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (95), (11272) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11273) all_4_74 = n9
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (117), (11270) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11274) all_4_73 = n0
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (126), (11271) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11275) all_4_77 = n9
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11274) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11276) sum(n0, n7) = all_4_98
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REDUCE: (129), (11273), (11275) imply:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11277) sum(n9, n9) = all_4_99
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (13), (11276) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11278) all_4_98 = n7
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.27/65.50 | | | | | | | | | | | | | | | | | | simplifying with (114), (11277) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11279) all_4_99 = n7
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.27/65.50 | | | | | | | | | | | | | | | | | | (11037), (11277), (11278), (11279) are
% 258.27/65.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 258.27/65.50 | | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | | End of split
% 258.27/65.50 | | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | End of split
% 258.27/65.50 | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | End of split
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | End of split
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | End of split
% 258.27/65.50 | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | Case 2:
% 258.27/65.50 | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | (11280) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 258.27/65.50 | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.27/65.50 | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.50 | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | BETA: splitting (11184) gives:
% 258.27/65.50 | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | Case 1:
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | (11281) all_4_101 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (229), (11281) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11282) pred(n5) = all_4_79
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (198), (11281) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11283) succ(n5) = all_4_75
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (192), (11283) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11284) all_4_75 = n6
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (223), (11282) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11285) all_4_79 = n4
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (128), (11284), (11285) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11286) sum(n4, n6) = all_4_73
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (10407), (11285) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11287) sum(n4, n10) = all_4_77
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (10405), (11284) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11288) sum(n8, n6) = all_4_74
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (56), (11286) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11289) all_4_73 = n10
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n10, n4,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (60), (11287) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11290) all_4_77 = n3
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n6, n8,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (100), (11288) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11291) all_4_74 = n3
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (10409), (11289) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11292) sum(n10, n7) = all_4_98
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (129), (11290), (11291) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11293) sum(n3, n3) = all_4_99
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (42), (11293) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11294) all_4_99 = n6
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n7, n10,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (123), (11292) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11295) all_4_98 = n6
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (232), (11295) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11296) pred(n6) = all_4_68
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (231), (11294) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11297) pred(n6) = all_4_71
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (201), (11295) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11298) succ(n6) = all_4_70
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (200), (11294) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11299) succ(n6) = all_4_67
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (193), (11299) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11300) all_4_67 = n7
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11298), (11299) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11301) all_4_67 = all_4_70
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (224), (11296) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11302) all_4_68 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11296), (11297) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11303) all_4_68 = all_4_71
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11300), (11301) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11304) all_4_70 = n7
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11304) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11305) all_4_70 = n7
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11302), (11303) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11306) all_4_71 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (137), (11300), (11302) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11307) sum(n5, n7) = all_4_66
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (136), (11302), (11305) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11308) sum(n5, n7) = all_4_64
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (134), (11300), (11306) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11309) sum(n5, n7) = all_4_65
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (133), (11305), (11306) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11310) sum(n5, n7) = all_4_69
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (68), (11309) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11311) all_4_65 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11307), (11309) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11312) all_4_65 = all_4_66
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11307), (11308) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11313) all_4_64 = all_4_66
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11308), (11310) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11314) all_4_64 = all_4_69
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11313), (11314) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11315) all_4_66 = all_4_69
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11315) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11316) all_4_66 = all_4_69
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11311), (11312) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11317) all_4_66 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11317) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11318) all_4_66 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11316), (11318) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11319) all_4_69 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11314), (11319) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11320) all_4_64 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (138), (11311), (11320) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11321) sum(n1, n1) = all_4_96
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (135), (11318), (11319) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11322) sum(n1, n1) = all_4_97
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (18), (11321) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11323) all_4_96 = n2
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11321), (11322) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11324) all_4_96 = all_4_97
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11323), (11324) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11325) all_4_97 = n2
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (234), (11323) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11326) pred(n2) = all_4_60
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (233), (11325) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11327) pred(n2) = all_4_63
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (203), (11323) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11328) succ(n2) = all_4_62
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (202), (11325) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11329) succ(n2) = all_4_59
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (189), (11329) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11330) all_4_59 = n3
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11328), (11329) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11331) all_4_59 = all_4_62
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (220), (11326) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11332) all_4_60 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11326), (11327) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11333) all_4_60 = all_4_63
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11330), (11331) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11334) all_4_62 = n3
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11334) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11335) all_4_62 = n3
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11332), (11333) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11336) all_4_63 = n1
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (143), (11330), (11332) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11337) sum(n1, n3) = all_4_58
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (142), (11332), (11335) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11338) sum(n1, n3) = all_4_56
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (140), (11330), (11336) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11339) sum(n1, n3) = all_4_57
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (139), (11335), (11336) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11340) sum(n1, n3) = all_4_61
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_58, n3, n1,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (20), (11337) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11341) all_4_58 = n4
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11337), (11339) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11342) all_4_57 = all_4_58
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11338), (11339) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11343) all_4_56 = all_4_57
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11338), (11340) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11344) all_4_56 = all_4_61
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11343), (11344) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11345) all_4_57 = all_4_61
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11345) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11346) all_4_57 = all_4_61
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11342), (11346) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11347) all_4_58 = all_4_61
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11347) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11348) all_4_58 = all_4_61
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11341), (11348) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11349) all_4_61 = n4
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11346), (11349) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11350) all_4_57 = n4
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11344), (11349) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11351) all_4_56 = n4
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (144), (11350), (11351) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11352) sum(n4, n4) = all_4_94
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (141), (11341), (11349) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11353) sum(n4, n4) = all_4_95
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (54), (11352) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11354) all_4_94 = n8
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11352), (11353) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11355) all_4_94 = all_4_95
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11354), (11355) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11356) all_4_95 = n8
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (236), (11354) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11357) pred(n8) = all_4_52
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (235), (11356) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11358) pred(n8) = all_4_55
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (205), (11354) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11359) succ(n8) = all_4_54
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (204), (11356) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11360) succ(n8) = all_4_51
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (195), (11360) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11361) all_4_51 = n9
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n8,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11359), (11360) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11362) all_4_51 = all_4_54
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_52, n8,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (226), (11357) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11363) all_4_52 = n7
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n8,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11357), (11358) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11364) all_4_52 = all_4_55
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11361), (11362) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11365) all_4_54 = n9
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11365) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11366) all_4_54 = n9
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11363), (11364) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11367) all_4_55 = n7
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (149), (11361), (11363) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11368) sum(n7, n9) = all_4_50
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (148), (11363), (11366) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11369) sum(n7, n9) = all_4_48
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (146), (11361), (11367) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11370) sum(n7, n9) = all_4_49
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (145), (11366), (11367) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11371) sum(n7, n9) = all_4_53
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_50, n9, n7,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (92), (11368) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11372) all_4_50 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n9, n7,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11368), (11370) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11373) all_4_49 = all_4_50
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n9, n7,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11369), (11370) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11374) all_4_48 = all_4_49
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n9, n7,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11369), (11371) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11375) all_4_48 = all_4_53
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11374), (11375) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11376) all_4_49 = all_4_53
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11376) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11377) all_4_49 = all_4_53
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11373), (11377) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11378) all_4_50 = all_4_53
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11378) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11379) all_4_50 = all_4_53
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11372), (11379) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11380) all_4_53 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11377), (11380) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11381) all_4_49 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11375), (11380) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11382) all_4_48 = n5
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (150), (11381), (11382) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11383) sum(n5, n5) = all_4_92
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (147), (11372), (11380) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11384) sum(n5, n5) = all_4_93
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_92, n5, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (66), (11383) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11385) all_4_92 = n10
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n5, n5,
% 258.27/65.50 | | | | | | | | | | | | | | simplifying with (11383), (11384) gives:
% 258.27/65.50 | | | | | | | | | | | | | | (11386) all_4_92 = all_4_93
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | COMBINE_EQS: (11385), (11386) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11387) all_4_93 = n10
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | SIMP: (11387) implies:
% 258.27/65.50 | | | | | | | | | | | | | | (11388) all_4_93 = n10
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (238), (11385) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11389) pred(n10) = all_4_44
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (237), (11388) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11390) pred(n10) = all_4_47
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (207), (11385) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11391) succ(n10) = all_4_46
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | REDUCE: (206), (11388) imply:
% 258.27/65.50 | | | | | | | | | | | | | | (11392) succ(n10) = all_4_43
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | BETA: splitting (11280) gives:
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | Case 1:
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | (11393) ~ (all_4_90 = all_4_91)
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_43, n10,
% 258.27/65.50 | | | | | | | | | | | | | | | simplifying with (197), (11392) gives:
% 258.27/65.50 | | | | | | | | | | | | | | | (11394) all_4_43 = n0
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (105), (114), (151), (152), (153),
% 258.27/65.50 | | | | | | | | | | | | | | | (154), (155), (156), (228), (11389), (11390),
% 258.27/65.50 | | | | | | | | | | | | | | | (11391), (11392), (11393), (11394) are
% 258.27/65.50 | | | | | | | | | | | | | | | inconsistent by sub-proof #124.
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | Case 2:
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | (11395) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 258.27/65.50 | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 258.27/65.50 | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (139),
% 258.27/65.50 | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 258.27/65.50 | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (195), (220),
% 258.27/65.50 | | | | | | | | | | | | | | | (226), (11294), (11295), (11323), (11325),
% 258.27/65.50 | | | | | | | | | | | | | | | (11326), (11327), (11328), (11329), (11357),
% 258.27/65.50 | | | | | | | | | | | | | | | (11358), (11359), (11360), (11395) are
% 258.27/65.50 | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | End of split
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | Case 2:
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | (11396) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.27/65.50 | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | BETA: splitting (11280) gives:
% 258.27/65.50 | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | Case 1:
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | (11397) ~ (all_4_90 = all_4_91)
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | BETA: splitting (11396) gives:
% 258.27/65.50 | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | Case 1:
% 258.27/65.50 | | | | | | | | | | | | | | | |
% 258.27/65.50 | | | | | | | | | | | | | | | | (11398) all_4_101 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (229), (11398) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11399) pred(n4) = all_4_79
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (198), (11398) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11400) succ(n4) = all_4_75
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (191), (11400) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11401) all_4_75 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (222), (11399) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11402) all_4_79 = n3
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (128), (11401), (11402) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11403) sum(n3, n5) = all_4_73
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (10407), (11402) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11404) sum(n3, n10) = all_4_77
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (10405), (11401) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11405) sum(n8, n5) = all_4_74
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (44), (11403) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11406) all_4_73 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (49), (11404) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11407) all_4_77 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (99), (11405) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11408) all_4_74 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (10409), (11406) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11409) sum(n8, n7) = all_4_98
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (129), (11407), (11408) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11410) sum(n2, n2) = all_4_99
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (30), (11410) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11411) all_4_99 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (101), (11409) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11412) all_4_98 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 258.27/65.51 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.27/65.51 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.51 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.51 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 258.27/65.51 | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 258.27/65.51 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 258.27/65.51 | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 258.27/65.51 | | | | | | | | | | | | | | | | (237), (238), (11397), (11411), (11412) are
% 258.27/65.51 | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | Case 2:
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | (11413) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.51 | | | | | | | | | | | | | | | | all_4_101 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | BETA: splitting (11413) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11414) all_4_101 = n3
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (229), (11414) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11415) pred(n3) = all_4_79
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (198), (11414) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11416) succ(n3) = all_4_75
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (190), (11416) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11417) all_4_75 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (221), (11415) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11418) all_4_79 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (128), (11417), (11418) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11419) sum(n2, n4) = all_4_73
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (10407), (11418) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11420) sum(n2, n10) = all_4_77
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (10405), (11417) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11421) sum(n8, n4) = all_4_74
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (32), (11419) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11422) all_4_73 = n6
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (38), (11420) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11423) all_4_77 = n1
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (98), (11421) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11424) all_4_74 = n1
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (10409), (11422) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11425) sum(n6, n7) = all_4_98
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REDUCE: (129), (11423), (11424) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11426) sum(n1, n1) = all_4_99
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (18), (11426) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11427) all_4_99 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 258.27/65.51 | | | | | | | | | | | | | | | | | simplifying with (79), (11425) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11428) all_4_98 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.27/65.51 | | | | | | | | | | | | | | | | | (238), (11397), (11427), (11428) are inconsistent
% 258.27/65.51 | | | | | | | | | | | | | | | | | by sub-proof #120.
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | (11429) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | BETA: splitting (11429) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11430) all_4_101 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (229), (11430) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11431) pred(n2) = all_4_79
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (198), (11430) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11432) succ(n2) = all_4_75
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (189), (11432) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11433) all_4_75 = n3
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (220), (11431) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11434) all_4_79 = n1
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (128), (11433), (11434) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11435) sum(n1, n3) = all_4_73
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11434) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11436) sum(n1, n10) = all_4_77
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11433) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11437) sum(n8, n3) = all_4_74
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (20), (11435) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11438) all_4_73 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (27), (11436) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11439) all_4_77 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (97), (11437) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11440) all_4_74 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11438) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11441) sum(n4, n7) = all_4_98
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REDUCE: (129), (11439), (11440) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11442) sum(n0, n0) = all_4_99
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (6), (11442) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11443) all_4_99 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | simplifying with (57), (11441) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11444) all_4_98 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (236), (237), (238), (11397), (11442), (11443),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11444) are inconsistent by sub-proof #118.
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | (11445) all_4_101 = n1 | all_4_101 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | BETA: splitting (11445) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11446) all_4_101 = n1
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11446) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11447) pred(n1) = all_4_79
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11446) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11448) succ(n1) = all_4_75
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (188), (11448) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11449) all_4_75 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (219), (11447) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11450) all_4_79 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11449), (11450) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11451) sum(n0, n2) = all_4_73
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11450) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11452) sum(n0, n10) = all_4_77
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11449) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11453) sum(n8, n2) = all_4_74
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (8), (11451) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11454) all_4_73 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (16), (11452) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11455) all_4_77 = n10
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (96), (11453) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11456) all_4_74 = n10
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11454) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11457) sum(n2, n7) = all_4_98
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11455), (11456) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11458) sum(n10, n10) = all_4_99
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (35), (11457) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11459) all_4_98 = n9
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (126), (11458) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11460) all_4_99 = n9
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (238), (11397), (11459), (11460) are inconsistent
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11461) all_4_101 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11461) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11462) pred(n0) = all_4_79
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11461) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11463) succ(n0) = all_4_75
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (187), (11463) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11464) all_4_75 = n1
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (218), (11462) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11465) all_4_79 = n10
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11464), (11465) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11466) sum(n10, n1) = all_4_73
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11465) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11467) sum(n10, n10) = all_4_77
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11464) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11468) sum(n8, n1) = all_4_74
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (95), (11468) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11469) all_4_74 = n9
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (117), (11466) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11470) all_4_73 = n0
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (126), (11467) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11471) all_4_77 = n9
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11470) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11472) sum(n0, n7) = all_4_98
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11469), (11471) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11473) sum(n9, n9) = all_4_99
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (13), (11472) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11474) all_4_98 = n7
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | simplifying with (114), (11473) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (11475) all_4_99 = n7
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (80), (92), (133), (134), (135), (136), (137),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (194), (195), (200), (201), (202), (203), (204),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (226),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | (238), (11280), (11474), (11475) are inconsistent
% 258.27/65.51 | | | | | | | | | | | | | | | | | | | by sub-proof #79.
% 258.27/65.51 | | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.51 | | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | | End of split
% 258.27/65.51 | | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | End of split
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | End of split
% 258.27/65.51 | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | Case 2:
% 258.27/65.51 | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | (11476) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 258.27/65.51 | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 258.27/65.51 | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 258.27/65.51 | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | BETA: splitting (11396) gives:
% 258.27/65.51 | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | Case 1:
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | (11477) all_4_101 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (229), (11477) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11478) pred(n4) = all_4_79
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (198), (11477) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11479) succ(n4) = all_4_75
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (191), (11479) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11480) all_4_75 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (222), (11478) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11481) all_4_79 = n3
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (128), (11480), (11481) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11482) sum(n3, n5) = all_4_73
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (10407), (11481) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11483) sum(n3, n10) = all_4_77
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (10405), (11480) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11484) sum(n8, n5) = all_4_74
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (44), (11482) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11485) all_4_73 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n10, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (49), (11483) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11486) all_4_77 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n5, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (99), (11484) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11487) all_4_74 = n2
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (10409), (11485) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11488) sum(n8, n7) = all_4_98
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (129), (11486), (11487) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11489) sum(n2, n2) = all_4_99
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (30), (11489) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11490) all_4_99 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n7, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (101), (11488) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11491) all_4_98 = n4
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (232), (11491) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11492) pred(n4) = all_4_68
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (231), (11490) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11493) pred(n4) = all_4_71
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (201), (11491) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11494) succ(n4) = all_4_70
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (200), (11490) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11495) succ(n4) = all_4_67
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (191), (11495) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11496) all_4_67 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (11494), (11495) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11497) all_4_67 = all_4_70
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (222), (11492) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11498) all_4_68 = n3
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (11492), (11493) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11499) all_4_68 = all_4_71
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11496), (11497) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11500) all_4_70 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | SIMP: (11500) implies:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11501) all_4_70 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11498), (11499) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11502) all_4_71 = n3
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (137), (11496), (11498) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11503) sum(n3, n5) = all_4_66
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (136), (11498), (11501) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11504) sum(n3, n5) = all_4_64
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (134), (11496), (11502) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11505) sum(n3, n5) = all_4_65
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (133), (11501), (11502) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11506) sum(n3, n5) = all_4_69
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (44), (11505) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11507) all_4_65 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (11503), (11505) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11508) all_4_65 = all_4_66
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (11503), (11504) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11509) all_4_64 = all_4_66
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (11504), (11506) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11510) all_4_64 = all_4_69
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11509), (11510) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11511) all_4_66 = all_4_69
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | SIMP: (11511) implies:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11512) all_4_66 = all_4_69
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11507), (11508) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11513) all_4_66 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | SIMP: (11513) implies:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11514) all_4_66 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11512), (11514) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11515) all_4_69 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11510), (11515) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11516) all_4_64 = n8
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (138), (11507), (11516) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11517) sum(n8, n8) = all_4_96
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (135), (11514), (11515) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11518) sum(n8, n8) = all_4_97
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (102), (11517) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11519) all_4_96 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 258.27/65.51 | | | | | | | | | | | | | | | | simplifying with (11517), (11518) gives:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11520) all_4_96 = all_4_97
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (11519), (11520) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11521) all_4_97 = n5
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (234), (11519) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11522) pred(n5) = all_4_60
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (233), (11521) imply:
% 258.27/65.51 | | | | | | | | | | | | | | | | (11523) pred(n5) = all_4_63
% 258.27/65.51 | | | | | | | | | | | | | | | |
% 258.27/65.51 | | | | | | | | | | | | | | | | REDUCE: (203), (11519) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11524) succ(n5) = all_4_62
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (202), (11521) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11525) succ(n5) = all_4_59
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (192), (11525) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11526) all_4_59 = n6
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n5,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (11524), (11525) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11527) all_4_59 = all_4_62
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_60, n5,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (223), (11522) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11528) all_4_60 = n4
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n5,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (11522), (11523) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11529) all_4_60 = all_4_63
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11526), (11527) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11530) all_4_62 = n6
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | SIMP: (11530) implies:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11531) all_4_62 = n6
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11528), (11529) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11532) all_4_63 = n4
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (143), (11526), (11528) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11533) sum(n4, n6) = all_4_58
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (142), (11528), (11531) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11534) sum(n4, n6) = all_4_56
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (140), (11526), (11532) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11535) sum(n4, n6) = all_4_57
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (139), (11531), (11532) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11536) sum(n4, n6) = all_4_61
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_58, n6, n4,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (56), (11533) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11537) all_4_58 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n6, n4,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (11533), (11535) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11538) all_4_57 = all_4_58
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n6, n4,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (11534), (11535) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11539) all_4_56 = all_4_57
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n6, n4,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (11534), (11536) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11540) all_4_56 = all_4_61
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11539), (11540) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11541) all_4_57 = all_4_61
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | SIMP: (11541) implies:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11542) all_4_57 = all_4_61
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11538), (11542) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11543) all_4_58 = all_4_61
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | SIMP: (11543) implies:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11544) all_4_58 = all_4_61
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11537), (11544) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11545) all_4_61 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11542), (11545) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11546) all_4_57 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11540), (11545) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11547) all_4_56 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (144), (11546), (11547) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11548) sum(n10, n10) = all_4_94
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (141), (11537), (11545) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11549) sum(n10, n10) = all_4_95
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_94, n10, n10,
% 258.27/65.52 | | | | | | | | | | | | | | | | simplifying with (126), (11548) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11550) all_4_94 = n9
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n10,
% 258.27/65.52 | | | | | | | | | | | | | | | | n10, simplifying with (11548), (11549) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11551) all_4_94 = all_4_95
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (11550), (11551) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11552) all_4_95 = n9
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (236), (11550) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11553) pred(n9) = all_4_52
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (235), (11552) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11554) pred(n9) = all_4_55
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (205), (11550) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11555) succ(n9) = all_4_54
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | REDUCE: (204), (11552) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | (11556) succ(n9) = all_4_51
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | BETA: splitting (11476) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11557) ~ (all_4_92 = all_4_93)
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_51, n9,
% 258.27/65.52 | | | | | | | | | | | | | | | | | simplifying with (196), (11556) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11558) all_4_51 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (145), (146), (147),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (148), (149), (150), (227), (11553), (11554),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11555), (11556), (11557), (11558) are
% 258.27/65.52 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11559) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 258.27/65.52 | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (102), (126), (133),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (191), (192), (222),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (223), (11490), (11491), (11492), (11493),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11494), (11495), (11522), (11523), (11524),
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11525), (11559) are inconsistent by sub-proof
% 258.27/65.52 | | | | | | | | | | | | | | | | | #75.
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | End of split
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | Case 2:
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | (11560) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.27/65.52 | | | | | | | | | | | | | | | | all_4_101 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | BETA: splitting (11476) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11561) ~ (all_4_92 = all_4_93)
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | BETA: splitting (11560) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11562) all_4_101 = n3
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (229), (11562) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11563) pred(n3) = all_4_79
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (198), (11562) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11564) succ(n3) = all_4_75
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (190), (11564) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11565) all_4_75 = n4
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (221), (11563) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11566) all_4_79 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (128), (11565), (11566) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11567) sum(n2, n4) = all_4_73
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11566) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11568) sum(n2, n10) = all_4_77
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11565) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11569) sum(n8, n4) = all_4_74
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (32), (11567) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11570) all_4_73 = n6
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (38), (11568) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11571) all_4_77 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (98), (11569) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11572) all_4_74 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11570) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11573) sum(n6, n7) = all_4_98
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (129), (11571), (11572) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11574) sum(n1, n1) = all_4_99
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (18), (11574) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11575) all_4_99 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (79), (11573) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11576) all_4_98 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (220), (226), (228), (231), (232), (233), (234),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (235), (236), (11561), (11575), (11576) are
% 258.27/65.52 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11577) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | BETA: splitting (11577) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11578) all_4_101 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11578) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11579) pred(n2) = all_4_79
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11578) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11580) succ(n2) = all_4_75
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (189), (11580) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11581) all_4_75 = n3
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (220), (11579) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11582) all_4_79 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11581), (11582) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11583) sum(n1, n3) = all_4_73
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11582) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11584) sum(n1, n10) = all_4_77
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11581) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11585) sum(n8, n3) = all_4_74
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (20), (11583) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11586) all_4_73 = n4
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (27), (11584) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11587) all_4_77 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (97), (11585) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11588) all_4_74 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11586) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11589) sum(n4, n7) = all_4_98
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11587), (11588) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11590) sum(n0, n0) = all_4_99
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (6), (11590) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11591) all_4_99 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (57), (11589) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11592) all_4_98 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11561), (11590), (11591), (11592) are
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | (11593) all_4_101 = n1 | all_4_101 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (11593) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11594) all_4_101 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11594) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11595) pred(n1) = all_4_79
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11594) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11596) succ(n1) = all_4_75
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (11596) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11597) all_4_75 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (11595) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11598) all_4_79 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11597), (11598) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11599) sum(n0, n2) = all_4_73
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11598) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11600) sum(n0, n10) = all_4_77
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11597) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11601) sum(n8, n2) = all_4_74
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (11599) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11602) all_4_73 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (16), (11600) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11603) all_4_77 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (96), (11601) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11604) all_4_74 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11602) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11605) sum(n2, n7) = all_4_98
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11603), (11604) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11606) sum(n10, n10) = all_4_99
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (35), (11605) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11607) all_4_98 = n9
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (235), (236), (11561), (11606), (11607) are
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11608) all_4_101 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11608) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11609) pred(n0) = all_4_79
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11608) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11610) succ(n0) = all_4_75
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (11610) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11611) all_4_75 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (11609) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11612) all_4_79 = n10
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11611), (11612) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11613) sum(n10, n1) = all_4_73
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11612) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11614) sum(n10, n10) = all_4_77
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11611) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11615) sum(n8, n1) = all_4_74
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (95), (11615) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11616) all_4_74 = n9
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (11613) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11617) all_4_73 = n0
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (126), (11614) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11618) all_4_77 = n9
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11617) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11619) sum(n0, n7) = all_4_98
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11616), (11618) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11620) sum(n9, n9) = all_4_99
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | simplifying with (13), (11619) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (11621) all_4_98 = n7
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (193),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (194), (200), (201), (202), (203), (204), (205),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (231), (232), (233), (234),
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | (235), (236), (11476), (11620), (11621) are
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.52 | | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | End of split
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | End of split
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | Case 2:
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | (11622) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 258.27/65.52 | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | BETA: splitting (11560) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | Case 1:
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11623) all_4_101 = n3
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (229), (11623) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11624) pred(n3) = all_4_79
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (198), (11623) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11625) succ(n3) = all_4_75
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (190), (11625) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11626) all_4_75 = n4
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (221), (11624) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11627) all_4_79 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (128), (11626), (11627) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11628) sum(n2, n4) = all_4_73
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11627) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11629) sum(n2, n10) = all_4_77
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11626) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11630) sum(n8, n4) = all_4_74
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (32), (11628) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11631) all_4_73 = n6
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n10, n2,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (38), (11629) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11632) all_4_77 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n4, n8,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (98), (11630) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11633) all_4_74 = n1
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11631) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11634) sum(n6, n7) = all_4_98
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (129), (11632), (11633) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11635) sum(n1, n1) = all_4_99
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (18), (11635) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11636) all_4_99 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n7, n6,
% 258.27/65.52 | | | | | | | | | | | | | | | | | | simplifying with (79), (11634) gives:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11637) all_4_98 = n2
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (232), (11637) imply:
% 258.27/65.52 | | | | | | | | | | | | | | | | | | (11638) pred(n2) = all_4_68
% 258.27/65.52 | | | | | | | | | | | | | | | | | |
% 258.27/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (231), (11636) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11639) pred(n2) = all_4_71
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (201), (11637) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11640) succ(n2) = all_4_70
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (200), (11636) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11641) succ(n2) = all_4_67
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (189), (11641) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11642) all_4_67 = n3
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (11640), (11641) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11643) all_4_67 = all_4_70
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (220), (11638) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11644) all_4_68 = n1
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (11638), (11639) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11645) all_4_68 = all_4_71
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11642), (11643) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11646) all_4_70 = n3
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | SIMP: (11646) implies:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11647) all_4_70 = n3
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11644), (11645) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11648) all_4_71 = n1
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (137), (11642), (11644) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11649) sum(n1, n3) = all_4_66
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (136), (11644), (11647) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11650) sum(n1, n3) = all_4_64
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (134), (11642), (11648) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11651) sum(n1, n3) = all_4_65
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (133), (11647), (11648) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11652) sum(n1, n3) = all_4_69
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (20), (11651) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11653) all_4_65 = n4
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (11649), (11651) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11654) all_4_65 = all_4_66
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (11649), (11650) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11655) all_4_64 = all_4_66
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (11650), (11652) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11656) all_4_64 = all_4_69
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11655), (11656) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11657) all_4_66 = all_4_69
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | SIMP: (11657) implies:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11658) all_4_66 = all_4_69
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11653), (11654) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11659) all_4_66 = n4
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | SIMP: (11659) implies:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11660) all_4_66 = n4
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11658), (11660) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11661) all_4_69 = n4
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11656), (11661) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11662) all_4_64 = n4
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (138), (11653), (11662) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11663) sum(n4, n4) = all_4_96
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (135), (11660), (11661) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11664) sum(n4, n4) = all_4_97
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (54), (11663) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11665) all_4_96 = n8
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | simplifying with (11663), (11664) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11666) all_4_96 = all_4_97
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11665), (11666) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11667) all_4_97 = n8
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (234), (11665) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11668) pred(n8) = all_4_60
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (233), (11667) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11669) pred(n8) = all_4_63
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (203), (11665) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11670) succ(n8) = all_4_62
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | REDUCE: (202), (11667) imply:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | (11671) succ(n8) = all_4_59
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | BETA: splitting (11622) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | (11672) ~ (all_4_94 = all_4_95)
% 258.58/65.52 | | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_59, n8,
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | simplifying with (195), (11671) gives:
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | (11673) all_4_59 = n9
% 258.58/65.52 | | | | | | | | | | | | | | | | | | |
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (139), (140), (141),
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | (142), (143), (144), (226), (11668), (11669),
% 258.58/65.52 | | | | | | | | | | | | | | | | | | | (11670), (11671), (11672), (11673) are
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | (11674) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | all_4_99)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (133), (134), (135),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | (136), (137), (138), (189), (220), (11636),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | (11637), (11638), (11639), (11640), (11641),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | (11674) are inconsistent by sub-proof #73.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | (11675) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | BETA: splitting (11622) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | (11676) ~ (all_4_94 = all_4_95)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (11675) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11677) all_4_101 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11677) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11678) pred(n2) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11677) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11679) succ(n2) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (11679) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11680) all_4_75 = n3
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (11678) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11681) all_4_79 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11680), (11681) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11682) sum(n1, n3) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11681) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11683) sum(n1, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11680) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11684) sum(n8, n3) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (11682) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11685) all_4_73 = n4
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (27), (11683) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11686) all_4_77 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (97), (11684) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11687) all_4_74 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11685) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11688) sum(n4, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11686), (11687) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11689) sum(n0, n0) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (11689) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11690) all_4_99 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (57), (11688) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11691) all_4_98 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (144), (187), (200), (201), (202), (203), (218),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (11676), (11689),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11690), (11691) are inconsistent by sub-proof
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | #100.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11692) all_4_101 = n1 | all_4_101 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11692) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11693) all_4_101 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11693) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11694) pred(n1) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11693) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11695) succ(n1) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (11695) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11696) all_4_75 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (11694) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11697) all_4_79 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11696), (11697) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11698) sum(n0, n2) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11697) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11699) sum(n0, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11696) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11700) sum(n8, n2) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (11698) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11701) all_4_73 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (11699) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11702) all_4_77 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (11700) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11703) all_4_74 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11701) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11704) sum(n2, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11702), (11703) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11705) sum(n10, n10) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (35), (11704) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11706) all_4_98 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (11676), (11705), (11706) are
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #98.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11707) all_4_101 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11707) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11708) pred(n0) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11707) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11709) succ(n0) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (11709) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11710) all_4_75 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (11708) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11711) all_4_79 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11710), (11711) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11712) sum(n10, n1) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11711) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11713) sum(n10, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11710) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11714) sum(n8, n1) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (11714) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11715) all_4_74 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (11712) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11716) all_4_73 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (11713) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11717) all_4_77 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11716) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11718) sum(n0, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11715), (11717) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11719) sum(n9, n9) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (11718) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11720) all_4_98 = n7
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (114),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (193), (194),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (224), (225), (231),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (11622), (11719), (11720) are
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | (11721) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | all_4_99)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (11675) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11722) all_4_101 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11722) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11723) pred(n2) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11722) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11724) succ(n2) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (11724) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11725) all_4_75 = n3
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (11723) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11726) all_4_79 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11725), (11726) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11727) sum(n1, n3) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11726) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11728) sum(n1, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11725) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11729) sum(n8, n3) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (11727) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11730) all_4_73 = n4
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n10, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (27), (11728) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11731) all_4_77 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n3, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (97), (11729) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11732) all_4_74 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11730) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11733) sum(n4, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11731), (11732) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11734) sum(n0, n0) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (6), (11734) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11735) all_4_99 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n7, n4,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | simplifying with (57), (11733) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11736) all_4_98 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (11736) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11737) pred(n0) = all_4_68
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (11735) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11738) pred(n0) = all_4_71
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (11736) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11739) succ(n0) = all_4_70
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (11735) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11740) succ(n0) = all_4_67
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11721) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11741) ~ (all_4_96 = all_4_97)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_67, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (11740) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11742) all_4_67 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (117), (133), (134), (135),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (218), (11737), (11738),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11739), (11740), (11741), (11742) are
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #95.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11743) ~ (all_4_98 = all_4_99)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11735), (11736), (11743) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11744) $false
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11744) is inconsistent.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | (11745) all_4_101 = n1 | all_4_101 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11721) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11746) ~ (all_4_96 = all_4_97)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11745) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11747) all_4_101 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11747) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11748) pred(n1) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11747) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11749) succ(n1) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (11749) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11750) all_4_75 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (11748) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11751) all_4_79 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11750), (11751) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11752) sum(n0, n2) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11751) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11753) sum(n0, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11750) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11754) sum(n8, n2) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (11752) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11755) all_4_73 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (11753) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11756) all_4_77 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (11754) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11757) all_4_74 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11755) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11758) sum(n2, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11756), (11757) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11759) sum(n10, n10) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (35), (11758) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11760) all_4_98 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (90), (104), (126), (133), (134),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (196), (200), (201),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (11746), (11759), (11760) are
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11761) all_4_101 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11761) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11762) pred(n0) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11761) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11763) succ(n0) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (11763) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11764) all_4_75 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (11762) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11765) all_4_79 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11764), (11765) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11766) sum(n10, n1) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11765) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11767) sum(n10, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11764) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11768) sum(n8, n1) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (11768) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11769) all_4_74 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (11766) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11770) all_4_73 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (11767) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11771) all_4_77 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11770) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11772) sum(n0, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11769), (11771) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11773) sum(n9, n9) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (11772) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11774) all_4_98 = n7
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (114), (133), (134),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (194), (200), (201),
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (225), (231), (232), (11721), (11773), (11774) are
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | (11775) ~ (all_4_98 = all_4_99)
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11745) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11776) all_4_101 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11776) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11777) pred(n1) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11776) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11778) succ(n1) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (11778) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11779) all_4_75 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (11777) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11780) all_4_79 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11779), (11780) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11781) sum(n0, n2) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11780) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11782) sum(n0, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11779) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11783) sum(n8, n2) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (11781) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11784) all_4_73 = n2
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n10, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (11782) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11785) all_4_77 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n2, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (11783) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11786) all_4_74 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11784) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11787) sum(n2, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11785), (11786) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11788) sum(n10, n10) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n7, n2,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (35), (11787) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11789) all_4_98 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (11788) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11790) all_4_99 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11775), (11789), (11790) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11791) $false
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11791) is inconsistent.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11792) all_4_101 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (11792) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11793) pred(n0) = all_4_79
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (11792) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11794) succ(n0) = all_4_75
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (11794) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11795) all_4_75 = n1
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (11793) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11796) all_4_79 = n10
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11795), (11796) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11797) sum(n10, n1) = all_4_73
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10407), (11796) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11798) sum(n10, n10) = all_4_77
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10405), (11795) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11799) sum(n8, n1) = all_4_74
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n1, n8,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (11799) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11800) all_4_74 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (11797) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11801) all_4_73 = n0
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n10, n10,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (11798) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11802) all_4_77 = n9
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (11801) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11803) sum(n0, n7) = all_4_98
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (11800), (11802) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11804) sum(n9, n9) = all_4_99
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n7, n0,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (11803) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11805) all_4_98 = n7
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | simplifying with (114), (11804) gives:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11806) all_4_99 = n7
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11775), (11805), (11806) imply:
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | (11807) $false
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11807) is inconsistent.
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | | |
% 258.58/65.53 | | | | | | | | | End of split
% 258.58/65.53 | | | | | | | | |
% 258.58/65.53 | | | | | | | | End of split
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | End of split
% 258.58/65.53 | | | | | | |
% 258.58/65.53 | | | | | | Case 2:
% 258.58/65.53 | | | | | | |
% 258.58/65.53 | | | | | | | (11808) all_4_100 = n8 | all_4_100 = n7 | all_4_100 = n6 |
% 258.58/65.53 | | | | | | | all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 258.58/65.53 | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.53 | | | | | | |
% 258.58/65.53 | | | | | | | BETA: splitting (8748) gives:
% 258.58/65.53 | | | | | | |
% 258.58/65.53 | | | | | | | Case 1:
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | (11809) all_4_101 = n8
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | REDUCE: (229), (11809) imply:
% 258.58/65.53 | | | | | | | | (11810) pred(n8) = all_4_79
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | REDUCE: (198), (11809) imply:
% 258.58/65.53 | | | | | | | | (11811) succ(n8) = all_4_75
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_75, n8,
% 258.58/65.53 | | | | | | | | simplifying with (195), (11811) gives:
% 258.58/65.53 | | | | | | | | (11812) all_4_75 = n9
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_79, n8,
% 258.58/65.53 | | | | | | | | simplifying with (226), (11810) gives:
% 258.58/65.53 | | | | | | | | (11813) all_4_79 = n7
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | REDUCE: (131), (11812) imply:
% 258.58/65.53 | | | | | | | | (11814) sum(all_4_76, n9) = all_4_74
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | REDUCE: (128), (11812), (11813) imply:
% 258.58/65.53 | | | | | | | | (11815) sum(n7, n9) = all_4_73
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | REDUCE: (127), (11813) imply:
% 258.58/65.53 | | | | | | | | (11816) sum(n7, all_4_78) = all_4_77
% 258.58/65.53 | | | | | | | |
% 258.58/65.53 | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_73, n9, n7,
% 258.58/65.53 | | | | | | | | simplifying with (92), (11815) gives:
% 258.58/65.53 | | | | | | | | (11817) all_4_73 = n5
% 258.58/65.54 | | | | | | | |
% 258.58/65.54 | | | | | | | | REDUCE: (132), (11817) imply:
% 258.58/65.54 | | | | | | | | (11818) sum(n5, all_4_72) = all_4_98
% 258.58/65.54 | | | | | | | |
% 258.58/65.54 | | | | | | | | BETA: splitting (10399) gives:
% 258.58/65.54 | | | | | | | |
% 258.58/65.54 | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | |
% 258.58/65.54 | | | | | | | | | (11819) ~ (all_4_84 = all_4_85)
% 258.58/65.54 | | | | | | | | |
% 258.58/65.54 | | | | | | | | | BETA: splitting (11808) gives:
% 258.58/65.54 | | | | | | | | |
% 258.58/65.54 | | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | (11820) all_4_100 = n8
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (230), (11820) imply:
% 258.58/65.54 | | | | | | | | | | (11821) pred(n8) = all_4_76
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (199), (11820) imply:
% 258.58/65.54 | | | | | | | | | | (11822) succ(n8) = all_4_78
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 258.58/65.54 | | | | | | | | | | simplifying with (195), (11822) gives:
% 258.58/65.54 | | | | | | | | | | (11823) all_4_78 = n9
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 258.58/65.54 | | | | | | | | | | simplifying with (226), (11821) gives:
% 258.58/65.54 | | | | | | | | | | (11824) all_4_76 = n7
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (130), (11823), (11824) imply:
% 258.58/65.54 | | | | | | | | | | (11825) sum(n7, n9) = all_4_72
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (11814), (11824) imply:
% 258.58/65.54 | | | | | | | | | | (11826) sum(n7, n9) = all_4_74
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (11816), (11823) imply:
% 258.58/65.54 | | | | | | | | | | (11827) sum(n7, n9) = all_4_77
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n9, n7,
% 258.58/65.54 | | | | | | | | | | simplifying with (92), (11826) gives:
% 258.58/65.54 | | | | | | | | | | (11828) all_4_74 = n5
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n9, n7,
% 258.58/65.54 | | | | | | | | | | simplifying with (11825), (11826) gives:
% 258.58/65.54 | | | | | | | | | | (11829) all_4_72 = all_4_74
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n9, n7,
% 258.58/65.54 | | | | | | | | | | simplifying with (11825), (11827) gives:
% 258.58/65.54 | | | | | | | | | | (11830) all_4_72 = all_4_77
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | COMBINE_EQS: (11829), (11830) imply:
% 258.58/65.54 | | | | | | | | | | (11831) all_4_74 = all_4_77
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | SIMP: (11831) implies:
% 258.58/65.54 | | | | | | | | | | (11832) all_4_74 = all_4_77
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | COMBINE_EQS: (11828), (11832) imply:
% 258.58/65.54 | | | | | | | | | | (11833) all_4_77 = n5
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | COMBINE_EQS: (11830), (11833) imply:
% 258.58/65.54 | | | | | | | | | | (11834) all_4_72 = n5
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (129), (11828), (11833) imply:
% 258.58/65.54 | | | | | | | | | | (11835) sum(n5, n5) = all_4_99
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REDUCE: (11818), (11834) imply:
% 258.58/65.54 | | | | | | | | | | (11836) sum(n5, n5) = all_4_98
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n5, n5,
% 258.58/65.54 | | | | | | | | | | simplifying with (66), (11836) gives:
% 258.58/65.54 | | | | | | | | | | (11837) all_4_98 = n10
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n5, n5,
% 258.58/65.54 | | | | | | | | | | simplifying with (11835), (11836) gives:
% 258.58/65.54 | | | | | | | | | | (11838) all_4_98 = all_4_99
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | COMBINE_EQS: (11837), (11838) imply:
% 258.58/65.54 | | | | | | | | | | (11839) all_4_99 = n10
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | SIMP: (11839) implies:
% 258.58/65.54 | | | | | | | | | | (11840) all_4_99 = n10
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.58/65.54 | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.58/65.54 | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.54 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.54 | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.54 | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.54 | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.54 | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.58/65.54 | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.58/65.54 | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.54 | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.58/65.54 | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.54 | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.54 | | | | | | | | | | (11835), (11837), (11840) are inconsistent by
% 258.58/65.54 | | | | | | | | | | sub-proof #170.
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | Case 2:
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | (11841) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 258.58/65.54 | | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.58/65.54 | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | BETA: splitting (11841) gives:
% 258.58/65.54 | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | (11842) all_4_100 = n7
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (230), (11842) imply:
% 258.58/65.54 | | | | | | | | | | | (11843) pred(n7) = all_4_76
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (199), (11842) imply:
% 258.58/65.54 | | | | | | | | | | | (11844) succ(n7) = all_4_78
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 258.58/65.54 | | | | | | | | | | | simplifying with (194), (11844) gives:
% 258.58/65.54 | | | | | | | | | | | (11845) all_4_78 = n8
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 258.58/65.54 | | | | | | | | | | | simplifying with (225), (11843) gives:
% 258.58/65.54 | | | | | | | | | | | (11846) all_4_76 = n6
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (130), (11845), (11846) imply:
% 258.58/65.54 | | | | | | | | | | | (11847) sum(n6, n8) = all_4_72
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (11814), (11846) imply:
% 258.58/65.54 | | | | | | | | | | | (11848) sum(n6, n9) = all_4_74
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (11816), (11845) imply:
% 258.58/65.54 | | | | | | | | | | | (11849) sum(n7, n8) = all_4_77
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 258.58/65.54 | | | | | | | | | | | simplifying with (80), (11847) gives:
% 258.58/65.54 | | | | | | | | | | | (11850) all_4_72 = n3
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n9, n6,
% 258.58/65.54 | | | | | | | | | | | simplifying with (81), (11848) gives:
% 258.58/65.54 | | | | | | | | | | | (11851) all_4_74 = n4
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n8, n7,
% 258.58/65.54 | | | | | | | | | | | simplifying with (91), (11849) gives:
% 258.58/65.54 | | | | | | | | | | | (11852) all_4_77 = n4
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (129), (11851), (11852) imply:
% 258.58/65.54 | | | | | | | | | | | (11853) sum(n4, n4) = all_4_99
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REDUCE: (11818), (11850) imply:
% 258.58/65.54 | | | | | | | | | | | (11854) sum(n5, n3) = all_4_98
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.58/65.54 | | | | | | | | | | | simplifying with (54), (11853) gives:
% 258.58/65.54 | | | | | | | | | | | (11855) all_4_99 = n8
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n3, n5,
% 258.58/65.54 | | | | | | | | | | | simplifying with (64), (11854) gives:
% 258.58/65.54 | | | | | | | | | | | (11856) all_4_98 = n8
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.58/65.54 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.58/65.54 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.54 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.54 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.54 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.54 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.54 | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.58/65.54 | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.58/65.54 | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.54 | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.58/65.54 | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.54 | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.54 | | | | | | | | | | | (11853), (11855), (11856) are inconsistent by
% 258.58/65.54 | | | | | | | | | | | sub-proof #169.
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | Case 2:
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | (11857) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 258.58/65.54 | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.58/65.54 | | | | | | | | | | | all_4_100 = n0
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | BETA: splitting (11857) gives:
% 258.58/65.54 | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | (11858) all_4_100 = n6
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (230), (11858) imply:
% 258.58/65.54 | | | | | | | | | | | | (11859) pred(n6) = all_4_76
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (199), (11858) imply:
% 258.58/65.54 | | | | | | | | | | | | (11860) succ(n6) = all_4_78
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (193), (11860) gives:
% 258.58/65.54 | | | | | | | | | | | | (11861) all_4_78 = n7
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (224), (11859) gives:
% 258.58/65.54 | | | | | | | | | | | | (11862) all_4_76 = n5
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (130), (11861), (11862) imply:
% 258.58/65.54 | | | | | | | | | | | | (11863) sum(n5, n7) = all_4_72
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (11814), (11862) imply:
% 258.58/65.54 | | | | | | | | | | | | (11864) sum(n5, n9) = all_4_74
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (11816), (11861) imply:
% 258.58/65.54 | | | | | | | | | | | | (11865) sum(n7, n7) = all_4_77
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (68), (11863) gives:
% 258.58/65.54 | | | | | | | | | | | | (11866) all_4_72 = n1
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n9, n5,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (70), (11864) gives:
% 258.58/65.54 | | | | | | | | | | | | (11867) all_4_74 = n3
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n7, n7,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (90), (11865) gives:
% 258.58/65.54 | | | | | | | | | | | | (11868) all_4_77 = n3
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (129), (11867), (11868) imply:
% 258.58/65.54 | | | | | | | | | | | | (11869) sum(n3, n3) = all_4_99
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REDUCE: (11818), (11866) imply:
% 258.58/65.54 | | | | | | | | | | | | (11870) sum(n5, n1) = all_4_98
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (42), (11869) gives:
% 258.58/65.54 | | | | | | | | | | | | (11871) all_4_99 = n6
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n1, n5,
% 258.58/65.54 | | | | | | | | | | | | simplifying with (62), (11870) gives:
% 258.58/65.54 | | | | | | | | | | | | (11872) all_4_98 = n6
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.58/65.54 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.58/65.54 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.54 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.54 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.54 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.54 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.54 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.58/65.54 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.58/65.54 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.54 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.58/65.54 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.54 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.54 | | | | | | | | | | | | (11869), (11871), (11872) are inconsistent by
% 258.58/65.54 | | | | | | | | | | | | sub-proof #168.
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | Case 2:
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | (11873) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 258.58/65.54 | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | BETA: splitting (11873) gives:
% 258.58/65.54 | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | (11874) all_4_100 = n5
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (230), (11874) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11875) pred(n5) = all_4_76
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (199), (11874) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11876) succ(n5) = all_4_78
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (192), (11876) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11877) all_4_78 = n6
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (223), (11875) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11878) all_4_76 = n4
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (130), (11877), (11878) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11879) sum(n4, n6) = all_4_72
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (11814), (11878) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11880) sum(n4, n9) = all_4_74
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (11816), (11877) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11881) sum(n7, n6) = all_4_77
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (56), (11879) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11882) all_4_72 = n10
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (59), (11880) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11883) all_4_74 = n2
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (89), (11881) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11884) all_4_77 = n2
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (129), (11883), (11884) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11885) sum(n2, n2) = all_4_99
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REDUCE: (11818), (11882) imply:
% 258.58/65.54 | | | | | | | | | | | | | (11886) sum(n5, n10) = all_4_98
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (30), (11885) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11887) all_4_99 = n4
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 258.58/65.54 | | | | | | | | | | | | | simplifying with (71), (11886) gives:
% 258.58/65.54 | | | | | | | | | | | | | (11888) all_4_98 = n4
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.58/65.54 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.58/65.54 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.54 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.54 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.54 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.54 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.54 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.58/65.54 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.58/65.54 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.54 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.58/65.54 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.54 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.54 | | | | | | | | | | | | | (11885), (11887), (11888) are inconsistent by
% 258.58/65.54 | | | | | | | | | | | | | sub-proof #167.
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | Case 2:
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | (11889) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.58/65.54 | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | BETA: splitting (11889) gives:
% 258.58/65.54 | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | (11890) all_4_100 = n4
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (230), (11890) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11891) pred(n4) = all_4_76
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (199), (11890) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11892) succ(n4) = all_4_78
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (191), (11892) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11893) all_4_78 = n5
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (222), (11891) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11894) all_4_76 = n3
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (130), (11893), (11894) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11895) sum(n3, n5) = all_4_72
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (11814), (11894) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11896) sum(n3, n9) = all_4_74
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (11816), (11893) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11897) sum(n7, n5) = all_4_77
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (44), (11895) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11898) all_4_72 = n8
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (48), (11896) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11899) all_4_74 = n1
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (88), (11897) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11900) all_4_77 = n1
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (129), (11899), (11900) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11901) sum(n1, n1) = all_4_99
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REDUCE: (11818), (11898) imply:
% 258.58/65.54 | | | | | | | | | | | | | | (11902) sum(n5, n8) = all_4_98
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (18), (11901) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11903) all_4_99 = n2
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 258.58/65.54 | | | | | | | | | | | | | | simplifying with (69), (11902) gives:
% 258.58/65.54 | | | | | | | | | | | | | | (11904) all_4_98 = n2
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.58/65.54 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.58/65.54 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.54 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.54 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.54 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.54 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.54 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.58/65.54 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.58/65.54 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.54 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.58/65.54 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.54 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.54 | | | | | | | | | | | | | | (11901), (11903), (11904) are inconsistent by
% 258.58/65.54 | | | | | | | | | | | | | | sub-proof #166.
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | Case 2:
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | (11905) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.58/65.54 | | | | | | | | | | | | | | all_4_100 = n0
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | BETA: splitting (11905) gives:
% 258.58/65.54 | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | Case 1:
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | (11906) all_4_100 = n3
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (230), (11906) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11907) pred(n3) = all_4_76
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (199), (11906) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11908) succ(n3) = all_4_78
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (190), (11908) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11909) all_4_78 = n4
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (221), (11907) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11910) all_4_76 = n2
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (130), (11909), (11910) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11911) sum(n2, n4) = all_4_72
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (11814), (11910) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11912) sum(n2, n9) = all_4_74
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (11816), (11909) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11913) sum(n7, n4) = all_4_77
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (32), (11911) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11914) all_4_72 = n6
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (37), (11912) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11915) all_4_74 = n0
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (87), (11913) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11916) all_4_77 = n0
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (129), (11915), (11916) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11917) sum(n0, n0) = all_4_99
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | REDUCE: (11818), (11914) imply:
% 258.58/65.54 | | | | | | | | | | | | | | | (11918) sum(n5, n6) = all_4_98
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (6), (11917) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11919) all_4_99 = n0
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 258.58/65.54 | | | | | | | | | | | | | | | simplifying with (67), (11918) gives:
% 258.58/65.54 | | | | | | | | | | | | | | | (11920) all_4_98 = n0
% 258.58/65.54 | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.58/65.55 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.55 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.55 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.55 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.55 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.55 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 258.58/65.55 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 258.58/65.55 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 258.58/65.55 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.55 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (11819),
% 258.58/65.55 | | | | | | | | | | | | | | | (11917), (11919), (11920) are inconsistent by
% 258.58/65.55 | | | | | | | | | | | | | | | sub-proof #164.
% 258.58/65.55 | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | Case 2:
% 258.58/65.55 | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | (11921) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.55 | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | BETA: splitting (11921) gives:
% 258.58/65.55 | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | Case 1:
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | (11922) all_4_100 = n2
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (230), (11922) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11923) pred(n2) = all_4_76
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (199), (11922) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11924) succ(n2) = all_4_78
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (189), (11924) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11925) all_4_78 = n3
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (220), (11923) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11926) all_4_76 = n1
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (130), (11925), (11926) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11927) sum(n1, n3) = all_4_72
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (11814), (11926) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11928) sum(n1, n9) = all_4_74
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (11816), (11925) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11929) sum(n7, n3) = all_4_77
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (20), (11927) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11930) all_4_72 = n4
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (26), (11928) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11931) all_4_74 = n10
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (86), (11929) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11932) all_4_77 = n10
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (129), (11931), (11932) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11933) sum(n10, n10) = all_4_99
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REDUCE: (11818), (11930) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11934) sum(n5, n4) = all_4_98
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (65), (11934) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11935) all_4_98 = n9
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.58/65.55 | | | | | | | | | | | | | | | | simplifying with (126), (11933) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | (11936) all_4_99 = n9
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.58/65.55 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.58/65.55 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.55 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.55 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.55 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.55 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.55 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.58/65.55 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.58/65.55 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.55 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.58/65.55 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.55 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.55 | | | | | | | | | | | | | | | | (11933), (11935), (11936) are inconsistent by
% 258.58/65.55 | | | | | | | | | | | | | | | | sub-proof #163.
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | Case 2:
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | (11937) all_4_100 = n1 | all_4_100 = n0
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | BETA: splitting (11937) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11938) all_4_100 = n1
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (230), (11938) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11939) pred(n1) = all_4_76
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (199), (11938) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11940) succ(n1) = all_4_78
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (188), (11940) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11941) all_4_78 = n2
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (219), (11939) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11942) all_4_76 = n0
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (130), (11941), (11942) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11943) sum(n0, n2) = all_4_72
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (11814), (11942) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11944) sum(n0, n9) = all_4_74
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (11816), (11941) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11945) sum(n7, n2) = all_4_77
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (8), (11943) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11946) all_4_72 = n2
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n9, n0,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (15), (11944) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11947) all_4_74 = n9
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n2, n7,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (85), (11945) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11948) all_4_77 = n9
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (129), (11947), (11948) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11949) sum(n9, n9) = all_4_99
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (11818), (11946) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11950) sum(n5, n2) = all_4_98
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n2, n5,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (63), (11950) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11951) all_4_98 = n7
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (114), (11949) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11952) all_4_99 = n7
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11949), (11951), (11952) are inconsistent by
% 258.58/65.55 | | | | | | | | | | | | | | | | | sub-proof #85.
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11953) all_4_100 = n0
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (230), (11953) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11954) pred(n0) = all_4_76
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (199), (11953) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11955) succ(n0) = all_4_78
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (187), (11955) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11956) all_4_78 = n1
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (218), (11954) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11957) all_4_76 = n10
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (130), (11956), (11957) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11958) sum(n10, n1) = all_4_72
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (11814), (11957) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11959) sum(n10, n9) = all_4_74
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (11816), (11956) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11960) sum(n7, n1) = all_4_77
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n1, n7,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (84), (11960) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11961) all_4_77 = n8
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (117), (11958) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11962) all_4_72 = n0
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n9, n10,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (125), (11959) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11963) all_4_74 = n8
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (129), (11961), (11963) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11964) sum(n8, n8) = all_4_99
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REDUCE: (11818), (11962) imply:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11965) sum(n5, n0) = all_4_98
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n0, n5,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (61), (11965) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11966) all_4_98 = n5
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.58/65.55 | | | | | | | | | | | | | | | | | simplifying with (102), (11964) gives:
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11967) all_4_99 = n5
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (11819),
% 258.58/65.55 | | | | | | | | | | | | | | | | | (11964), (11966), (11967) are inconsistent by
% 258.58/65.55 | | | | | | | | | | | | | | | | | sub-proof #70.
% 258.58/65.55 | | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | End of split
% 258.58/65.55 | | | | | | | | |
% 258.58/65.55 | | | | | | | | Case 2:
% 258.58/65.55 | | | | | | | | |
% 258.58/65.55 | | | | | | | | | (11968) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89)
% 258.58/65.55 | | | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 258.58/65.55 | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.58/65.55 | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.58/65.55 | | | | | | | | |
% 258.58/65.55 | | | | | | | | | BETA: splitting (11808) gives:
% 258.58/65.55 | | | | | | | | |
% 258.58/65.55 | | | | | | | | | Case 1:
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | (11969) all_4_100 = n8
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (230), (11969) imply:
% 258.58/65.55 | | | | | | | | | | (11970) pred(n8) = all_4_76
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (199), (11969) imply:
% 258.58/65.55 | | | | | | | | | | (11971) succ(n8) = all_4_78
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 258.58/65.55 | | | | | | | | | | simplifying with (195), (11971) gives:
% 258.58/65.55 | | | | | | | | | | (11972) all_4_78 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 258.58/65.55 | | | | | | | | | | simplifying with (226), (11970) gives:
% 258.58/65.55 | | | | | | | | | | (11973) all_4_76 = n7
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (130), (11972), (11973) imply:
% 258.58/65.55 | | | | | | | | | | (11974) sum(n7, n9) = all_4_72
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (11814), (11973) imply:
% 258.58/65.55 | | | | | | | | | | (11975) sum(n7, n9) = all_4_74
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (11816), (11972) imply:
% 258.58/65.55 | | | | | | | | | | (11976) sum(n7, n9) = all_4_77
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n9, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (92), (11975) gives:
% 258.58/65.55 | | | | | | | | | | (11977) all_4_74 = n5
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n9, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (11974), (11975) gives:
% 258.58/65.55 | | | | | | | | | | (11978) all_4_72 = all_4_74
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n9, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (11974), (11976) gives:
% 258.58/65.55 | | | | | | | | | | (11979) all_4_72 = all_4_77
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (11978), (11979) imply:
% 258.58/65.55 | | | | | | | | | | (11980) all_4_74 = all_4_77
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (11980) implies:
% 258.58/65.55 | | | | | | | | | | (11981) all_4_74 = all_4_77
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (11977), (11981) imply:
% 258.58/65.55 | | | | | | | | | | (11982) all_4_77 = n5
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (11979), (11982) imply:
% 258.58/65.55 | | | | | | | | | | (11983) all_4_72 = n5
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (129), (11977), (11982) imply:
% 258.58/65.55 | | | | | | | | | | (11984) sum(n5, n5) = all_4_99
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (11818), (11983) imply:
% 258.58/65.55 | | | | | | | | | | (11985) sum(n5, n5) = all_4_98
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n5, n5,
% 258.58/65.55 | | | | | | | | | | simplifying with (66), (11985) gives:
% 258.58/65.55 | | | | | | | | | | (11986) all_4_98 = n10
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n5, n5,
% 258.58/65.55 | | | | | | | | | | simplifying with (11984), (11985) gives:
% 258.58/65.55 | | | | | | | | | | (11987) all_4_98 = all_4_99
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (11986), (11987) imply:
% 258.58/65.55 | | | | | | | | | | (11988) all_4_99 = n10
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (11988) implies:
% 258.58/65.55 | | | | | | | | | | (11989) all_4_99 = n10
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (232), (11986) imply:
% 258.58/65.55 | | | | | | | | | | (11990) pred(n10) = all_4_68
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (231), (11989) imply:
% 258.58/65.55 | | | | | | | | | | (11991) pred(n10) = all_4_71
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (201), (11986) imply:
% 258.58/65.55 | | | | | | | | | | (11992) succ(n10) = all_4_70
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (200), (11989) imply:
% 258.58/65.55 | | | | | | | | | | (11993) succ(n10) = all_4_67
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_67, n10,
% 258.58/65.55 | | | | | | | | | | simplifying with (197), (11993) gives:
% 258.58/65.55 | | | | | | | | | | (11994) all_4_67 = n0
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n10,
% 258.58/65.55 | | | | | | | | | | simplifying with (11992), (11993) gives:
% 258.58/65.55 | | | | | | | | | | (11995) all_4_67 = all_4_70
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_68, n10,
% 258.58/65.55 | | | | | | | | | | simplifying with (228), (11990) gives:
% 258.58/65.55 | | | | | | | | | | (11996) all_4_68 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n10,
% 258.58/65.55 | | | | | | | | | | simplifying with (11990), (11991) gives:
% 258.58/65.55 | | | | | | | | | | (11997) all_4_68 = all_4_71
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (11994), (11995) imply:
% 258.58/65.55 | | | | | | | | | | (11998) all_4_70 = n0
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (11998) implies:
% 258.58/65.55 | | | | | | | | | | (11999) all_4_70 = n0
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (11996), (11997) imply:
% 258.58/65.55 | | | | | | | | | | (12000) all_4_71 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (137), (11994), (11996) imply:
% 258.58/65.55 | | | | | | | | | | (12001) sum(n9, n0) = all_4_66
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (136), (11996), (11999) imply:
% 258.58/65.55 | | | | | | | | | | (12002) sum(n9, n0) = all_4_64
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (134), (11994), (12000) imply:
% 258.58/65.55 | | | | | | | | | | (12003) sum(n9, n0) = all_4_65
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (133), (11999), (12000) imply:
% 258.58/65.55 | | | | | | | | | | (12004) sum(n9, n0) = all_4_69
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_65, n0, n9,
% 258.58/65.55 | | | | | | | | | | simplifying with (105), (12003) gives:
% 258.58/65.55 | | | | | | | | | | (12005) all_4_65 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n0, n9,
% 258.58/65.55 | | | | | | | | | | simplifying with (12001), (12003) gives:
% 258.58/65.55 | | | | | | | | | | (12006) all_4_65 = all_4_66
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n0, n9,
% 258.58/65.55 | | | | | | | | | | simplifying with (12001), (12002) gives:
% 258.58/65.55 | | | | | | | | | | (12007) all_4_64 = all_4_66
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n0, n9,
% 258.58/65.55 | | | | | | | | | | simplifying with (12002), (12004) gives:
% 258.58/65.55 | | | | | | | | | | (12008) all_4_64 = all_4_69
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12007), (12008) imply:
% 258.58/65.55 | | | | | | | | | | (12009) all_4_66 = all_4_69
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (12009) implies:
% 258.58/65.55 | | | | | | | | | | (12010) all_4_66 = all_4_69
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12005), (12006) imply:
% 258.58/65.55 | | | | | | | | | | (12011) all_4_66 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (12011) implies:
% 258.58/65.55 | | | | | | | | | | (12012) all_4_66 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12010), (12012) imply:
% 258.58/65.55 | | | | | | | | | | (12013) all_4_69 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12008), (12013) imply:
% 258.58/65.55 | | | | | | | | | | (12014) all_4_64 = n9
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (138), (12005), (12014) imply:
% 258.58/65.55 | | | | | | | | | | (12015) sum(n9, n9) = all_4_96
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (135), (12012), (12013) imply:
% 258.58/65.55 | | | | | | | | | | (12016) sum(n9, n9) = all_4_97
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_96, n9, n9,
% 258.58/65.55 | | | | | | | | | | simplifying with (114), (12015) gives:
% 258.58/65.55 | | | | | | | | | | (12017) all_4_96 = n7
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n9, n9,
% 258.58/65.55 | | | | | | | | | | simplifying with (12015), (12016) gives:
% 258.58/65.55 | | | | | | | | | | (12018) all_4_96 = all_4_97
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12017), (12018) imply:
% 258.58/65.55 | | | | | | | | | | (12019) all_4_97 = n7
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (234), (12017) imply:
% 258.58/65.55 | | | | | | | | | | (12020) pred(n7) = all_4_60
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (233), (12019) imply:
% 258.58/65.55 | | | | | | | | | | (12021) pred(n7) = all_4_63
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (203), (12017) imply:
% 258.58/65.55 | | | | | | | | | | (12022) succ(n7) = all_4_62
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (202), (12019) imply:
% 258.58/65.55 | | | | | | | | | | (12023) succ(n7) = all_4_59
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_59, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (194), (12023) gives:
% 258.58/65.55 | | | | | | | | | | (12024) all_4_59 = n8
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (12022), (12023) gives:
% 258.58/65.55 | | | | | | | | | | (12025) all_4_59 = all_4_62
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_60, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (225), (12020) gives:
% 258.58/65.55 | | | | | | | | | | (12026) all_4_60 = n6
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n7,
% 258.58/65.55 | | | | | | | | | | simplifying with (12020), (12021) gives:
% 258.58/65.55 | | | | | | | | | | (12027) all_4_60 = all_4_63
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12024), (12025) imply:
% 258.58/65.55 | | | | | | | | | | (12028) all_4_62 = n8
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (12028) implies:
% 258.58/65.55 | | | | | | | | | | (12029) all_4_62 = n8
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12026), (12027) imply:
% 258.58/65.55 | | | | | | | | | | (12030) all_4_63 = n6
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (143), (12024), (12026) imply:
% 258.58/65.55 | | | | | | | | | | (12031) sum(n6, n8) = all_4_58
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (142), (12026), (12029) imply:
% 258.58/65.55 | | | | | | | | | | (12032) sum(n6, n8) = all_4_56
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (140), (12024), (12030) imply:
% 258.58/65.55 | | | | | | | | | | (12033) sum(n6, n8) = all_4_57
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (139), (12029), (12030) imply:
% 258.58/65.55 | | | | | | | | | | (12034) sum(n6, n8) = all_4_61
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_58, n8, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (80), (12031) gives:
% 258.58/65.55 | | | | | | | | | | (12035) all_4_58 = n3
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n8, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (12031), (12033) gives:
% 258.58/65.55 | | | | | | | | | | (12036) all_4_57 = all_4_58
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n8, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (12032), (12033) gives:
% 258.58/65.55 | | | | | | | | | | (12037) all_4_56 = all_4_57
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n8, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (12032), (12034) gives:
% 258.58/65.55 | | | | | | | | | | (12038) all_4_56 = all_4_61
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12037), (12038) imply:
% 258.58/65.55 | | | | | | | | | | (12039) all_4_57 = all_4_61
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (12039) implies:
% 258.58/65.55 | | | | | | | | | | (12040) all_4_57 = all_4_61
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12036), (12040) imply:
% 258.58/65.55 | | | | | | | | | | (12041) all_4_58 = all_4_61
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | SIMP: (12041) implies:
% 258.58/65.55 | | | | | | | | | | (12042) all_4_58 = all_4_61
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12035), (12042) imply:
% 258.58/65.55 | | | | | | | | | | (12043) all_4_61 = n3
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12040), (12043) imply:
% 258.58/65.55 | | | | | | | | | | (12044) all_4_57 = n3
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12038), (12043) imply:
% 258.58/65.55 | | | | | | | | | | (12045) all_4_56 = n3
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (144), (12044), (12045) imply:
% 258.58/65.55 | | | | | | | | | | (12046) sum(n3, n3) = all_4_94
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (141), (12035), (12043) imply:
% 258.58/65.55 | | | | | | | | | | (12047) sum(n3, n3) = all_4_95
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_94, n3, n3,
% 258.58/65.55 | | | | | | | | | | simplifying with (42), (12046) gives:
% 258.58/65.55 | | | | | | | | | | (12048) all_4_94 = n6
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n3, n3,
% 258.58/65.55 | | | | | | | | | | simplifying with (12046), (12047) gives:
% 258.58/65.55 | | | | | | | | | | (12049) all_4_94 = all_4_95
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12048), (12049) imply:
% 258.58/65.55 | | | | | | | | | | (12050) all_4_95 = n6
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (236), (12048) imply:
% 258.58/65.55 | | | | | | | | | | (12051) pred(n6) = all_4_52
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (235), (12050) imply:
% 258.58/65.55 | | | | | | | | | | (12052) pred(n6) = all_4_55
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (205), (12048) imply:
% 258.58/65.55 | | | | | | | | | | (12053) succ(n6) = all_4_54
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | REDUCE: (204), (12050) imply:
% 258.58/65.55 | | | | | | | | | | (12054) succ(n6) = all_4_51
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_51, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (193), (12054) gives:
% 258.58/65.55 | | | | | | | | | | (12055) all_4_51 = n7
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (12053), (12054) gives:
% 258.58/65.55 | | | | | | | | | | (12056) all_4_51 = all_4_54
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_52, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (224), (12051) gives:
% 258.58/65.55 | | | | | | | | | | (12057) all_4_52 = n5
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n6,
% 258.58/65.55 | | | | | | | | | | simplifying with (12051), (12052) gives:
% 258.58/65.55 | | | | | | | | | | (12058) all_4_52 = all_4_55
% 258.58/65.55 | | | | | | | | | |
% 258.58/65.55 | | | | | | | | | | COMBINE_EQS: (12055), (12056) imply:
% 258.58/65.56 | | | | | | | | | | (12059) all_4_54 = n7
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12059) implies:
% 258.58/65.56 | | | | | | | | | | (12060) all_4_54 = n7
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12057), (12058) imply:
% 258.58/65.56 | | | | | | | | | | (12061) all_4_55 = n5
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (149), (12055), (12057) imply:
% 258.58/65.56 | | | | | | | | | | (12062) sum(n5, n7) = all_4_50
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (148), (12057), (12060) imply:
% 258.58/65.56 | | | | | | | | | | (12063) sum(n5, n7) = all_4_48
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (146), (12055), (12061) imply:
% 258.58/65.56 | | | | | | | | | | (12064) sum(n5, n7) = all_4_49
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (145), (12060), (12061) imply:
% 258.58/65.56 | | | | | | | | | | (12065) sum(n5, n7) = all_4_53
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_50, n7, n5,
% 258.58/65.56 | | | | | | | | | | simplifying with (68), (12062) gives:
% 258.58/65.56 | | | | | | | | | | (12066) all_4_50 = n1
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n7, n5,
% 258.58/65.56 | | | | | | | | | | simplifying with (12062), (12064) gives:
% 258.58/65.56 | | | | | | | | | | (12067) all_4_49 = all_4_50
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n7, n5,
% 258.58/65.56 | | | | | | | | | | simplifying with (12063), (12064) gives:
% 258.58/65.56 | | | | | | | | | | (12068) all_4_48 = all_4_49
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n7, n5,
% 258.58/65.56 | | | | | | | | | | simplifying with (12063), (12065) gives:
% 258.58/65.56 | | | | | | | | | | (12069) all_4_48 = all_4_53
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12068), (12069) imply:
% 258.58/65.56 | | | | | | | | | | (12070) all_4_49 = all_4_53
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12070) implies:
% 258.58/65.56 | | | | | | | | | | (12071) all_4_49 = all_4_53
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12067), (12071) imply:
% 258.58/65.56 | | | | | | | | | | (12072) all_4_50 = all_4_53
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12072) implies:
% 258.58/65.56 | | | | | | | | | | (12073) all_4_50 = all_4_53
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12066), (12073) imply:
% 258.58/65.56 | | | | | | | | | | (12074) all_4_53 = n1
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12071), (12074) imply:
% 258.58/65.56 | | | | | | | | | | (12075) all_4_49 = n1
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12069), (12074) imply:
% 258.58/65.56 | | | | | | | | | | (12076) all_4_48 = n1
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (150), (12075), (12076) imply:
% 258.58/65.56 | | | | | | | | | | (12077) sum(n1, n1) = all_4_92
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (147), (12066), (12074) imply:
% 258.58/65.56 | | | | | | | | | | (12078) sum(n1, n1) = all_4_93
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_92, n1, n1,
% 258.58/65.56 | | | | | | | | | | simplifying with (18), (12077) gives:
% 258.58/65.56 | | | | | | | | | | (12079) all_4_92 = n2
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n1, n1,
% 258.58/65.56 | | | | | | | | | | simplifying with (12077), (12078) gives:
% 258.58/65.56 | | | | | | | | | | (12080) all_4_92 = all_4_93
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12079), (12080) imply:
% 258.58/65.56 | | | | | | | | | | (12081) all_4_93 = n2
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12081) implies:
% 258.58/65.56 | | | | | | | | | | (12082) all_4_93 = n2
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (238), (12079) imply:
% 258.58/65.56 | | | | | | | | | | (12083) pred(n2) = all_4_44
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (237), (12082) imply:
% 258.58/65.56 | | | | | | | | | | (12084) pred(n2) = all_4_47
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (207), (12079) imply:
% 258.58/65.56 | | | | | | | | | | (12085) succ(n2) = all_4_46
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (206), (12082) imply:
% 258.58/65.56 | | | | | | | | | | (12086) succ(n2) = all_4_43
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_43, n2,
% 258.58/65.56 | | | | | | | | | | simplifying with (189), (12086) gives:
% 258.58/65.56 | | | | | | | | | | (12087) all_4_43 = n3
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n2,
% 258.58/65.56 | | | | | | | | | | simplifying with (12085), (12086) gives:
% 258.58/65.56 | | | | | | | | | | (12088) all_4_43 = all_4_46
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_44, n2,
% 258.58/65.56 | | | | | | | | | | simplifying with (220), (12083) gives:
% 258.58/65.56 | | | | | | | | | | (12089) all_4_44 = n1
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n2,
% 258.58/65.56 | | | | | | | | | | simplifying with (12083), (12084) gives:
% 258.58/65.56 | | | | | | | | | | (12090) all_4_44 = all_4_47
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12087), (12088) imply:
% 258.58/65.56 | | | | | | | | | | (12091) all_4_46 = n3
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12091) implies:
% 258.58/65.56 | | | | | | | | | | (12092) all_4_46 = n3
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12089), (12090) imply:
% 258.58/65.56 | | | | | | | | | | (12093) all_4_47 = n1
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (155), (12087), (12089) imply:
% 258.58/65.56 | | | | | | | | | | (12094) sum(n1, n3) = all_4_42
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (154), (12089), (12092) imply:
% 258.58/65.56 | | | | | | | | | | (12095) sum(n1, n3) = all_4_40
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (152), (12087), (12093) imply:
% 258.58/65.56 | | | | | | | | | | (12096) sum(n1, n3) = all_4_41
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (151), (12092), (12093) imply:
% 258.58/65.56 | | | | | | | | | | (12097) sum(n1, n3) = all_4_45
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_42, n3, n1,
% 258.58/65.56 | | | | | | | | | | simplifying with (20), (12094) gives:
% 258.58/65.56 | | | | | | | | | | (12098) all_4_42 = n4
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n3, n1,
% 258.58/65.56 | | | | | | | | | | simplifying with (12094), (12096) gives:
% 258.58/65.56 | | | | | | | | | | (12099) all_4_41 = all_4_42
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n3, n1,
% 258.58/65.56 | | | | | | | | | | simplifying with (12095), (12096) gives:
% 258.58/65.56 | | | | | | | | | | (12100) all_4_40 = all_4_41
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n3, n1,
% 258.58/65.56 | | | | | | | | | | simplifying with (12095), (12097) gives:
% 258.58/65.56 | | | | | | | | | | (12101) all_4_40 = all_4_45
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12100), (12101) imply:
% 258.58/65.56 | | | | | | | | | | (12102) all_4_41 = all_4_45
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12102) implies:
% 258.58/65.56 | | | | | | | | | | (12103) all_4_41 = all_4_45
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12099), (12103) imply:
% 258.58/65.56 | | | | | | | | | | (12104) all_4_42 = all_4_45
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12104) implies:
% 258.58/65.56 | | | | | | | | | | (12105) all_4_42 = all_4_45
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12098), (12105) imply:
% 258.58/65.56 | | | | | | | | | | (12106) all_4_45 = n4
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12103), (12106) imply:
% 258.58/65.56 | | | | | | | | | | (12107) all_4_41 = n4
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12101), (12106) imply:
% 258.58/65.56 | | | | | | | | | | (12108) all_4_40 = n4
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (156), (12107), (12108) imply:
% 258.58/65.56 | | | | | | | | | | (12109) sum(n4, n4) = all_4_90
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (153), (12098), (12106) imply:
% 258.58/65.56 | | | | | | | | | | (12110) sum(n4, n4) = all_4_91
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_90, n4, n4,
% 258.58/65.56 | | | | | | | | | | simplifying with (54), (12109) gives:
% 258.58/65.56 | | | | | | | | | | (12111) all_4_90 = n8
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n4, n4,
% 258.58/65.56 | | | | | | | | | | simplifying with (12109), (12110) gives:
% 258.58/65.56 | | | | | | | | | | (12112) all_4_90 = all_4_91
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12111), (12112) imply:
% 258.58/65.56 | | | | | | | | | | (12113) all_4_91 = n8
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (240), (12111) imply:
% 258.58/65.56 | | | | | | | | | | (12114) pred(n8) = all_4_36
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (239), (12113) imply:
% 258.58/65.56 | | | | | | | | | | (12115) pred(n8) = all_4_39
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (209), (12111) imply:
% 258.58/65.56 | | | | | | | | | | (12116) succ(n8) = all_4_38
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (208), (12113) imply:
% 258.58/65.56 | | | | | | | | | | (12117) succ(n8) = all_4_35
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_35, n8,
% 258.58/65.56 | | | | | | | | | | simplifying with (195), (12117) gives:
% 258.58/65.56 | | | | | | | | | | (12118) all_4_35 = n9
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n8,
% 258.58/65.56 | | | | | | | | | | simplifying with (12116), (12117) gives:
% 258.58/65.56 | | | | | | | | | | (12119) all_4_35 = all_4_38
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_36, n8,
% 258.58/65.56 | | | | | | | | | | simplifying with (226), (12114) gives:
% 258.58/65.56 | | | | | | | | | | (12120) all_4_36 = n7
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n8,
% 258.58/65.56 | | | | | | | | | | simplifying with (12114), (12115) gives:
% 258.58/65.56 | | | | | | | | | | (12121) all_4_36 = all_4_39
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12118), (12119) imply:
% 258.58/65.56 | | | | | | | | | | (12122) all_4_38 = n9
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12122) implies:
% 258.58/65.56 | | | | | | | | | | (12123) all_4_38 = n9
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12120), (12121) imply:
% 258.58/65.56 | | | | | | | | | | (12124) all_4_39 = n7
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (161), (12118), (12120) imply:
% 258.58/65.56 | | | | | | | | | | (12125) sum(n7, n9) = all_4_34
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (160), (12120), (12123) imply:
% 258.58/65.56 | | | | | | | | | | (12126) sum(n7, n9) = all_4_32
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (158), (12118), (12124) imply:
% 258.58/65.56 | | | | | | | | | | (12127) sum(n7, n9) = all_4_33
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (157), (12123), (12124) imply:
% 258.58/65.56 | | | | | | | | | | (12128) sum(n7, n9) = all_4_37
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_34, n9, n7,
% 258.58/65.56 | | | | | | | | | | simplifying with (92), (12125) gives:
% 258.58/65.56 | | | | | | | | | | (12129) all_4_34 = n5
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n9, n7,
% 258.58/65.56 | | | | | | | | | | simplifying with (12125), (12127) gives:
% 258.58/65.56 | | | | | | | | | | (12130) all_4_33 = all_4_34
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n9, n7,
% 258.58/65.56 | | | | | | | | | | simplifying with (12126), (12127) gives:
% 258.58/65.56 | | | | | | | | | | (12131) all_4_32 = all_4_33
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n9, n7,
% 258.58/65.56 | | | | | | | | | | simplifying with (12126), (12128) gives:
% 258.58/65.56 | | | | | | | | | | (12132) all_4_32 = all_4_37
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12131), (12132) imply:
% 258.58/65.56 | | | | | | | | | | (12133) all_4_33 = all_4_37
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12133) implies:
% 258.58/65.56 | | | | | | | | | | (12134) all_4_33 = all_4_37
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12130), (12134) imply:
% 258.58/65.56 | | | | | | | | | | (12135) all_4_34 = all_4_37
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | SIMP: (12135) implies:
% 258.58/65.56 | | | | | | | | | | (12136) all_4_34 = all_4_37
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12129), (12136) imply:
% 258.58/65.56 | | | | | | | | | | (12137) all_4_37 = n5
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12134), (12137) imply:
% 258.58/65.56 | | | | | | | | | | (12138) all_4_33 = n5
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12132), (12137) imply:
% 258.58/65.56 | | | | | | | | | | (12139) all_4_32 = n5
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (162), (12138), (12139) imply:
% 258.58/65.56 | | | | | | | | | | (12140) sum(n5, n5) = all_4_88
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (159), (12129), (12137) imply:
% 258.58/65.56 | | | | | | | | | | (12141) sum(n5, n5) = all_4_89
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_88, n5, n5,
% 258.58/65.56 | | | | | | | | | | simplifying with (66), (12140) gives:
% 258.58/65.56 | | | | | | | | | | (12142) all_4_88 = n10
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n5, n5,
% 258.58/65.56 | | | | | | | | | | simplifying with (12140), (12141) gives:
% 258.58/65.56 | | | | | | | | | | (12143) all_4_88 = all_4_89
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | COMBINE_EQS: (12142), (12143) imply:
% 258.58/65.56 | | | | | | | | | | (12144) all_4_89 = n10
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (242), (12142) imply:
% 258.58/65.56 | | | | | | | | | | (12145) pred(n10) = all_4_28
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (241), (12144) imply:
% 258.58/65.56 | | | | | | | | | | (12146) pred(n10) = all_4_31
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (211), (12142) imply:
% 258.58/65.56 | | | | | | | | | | (12147) succ(n10) = all_4_30
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | REDUCE: (210), (12144) imply:
% 258.58/65.56 | | | | | | | | | | (12148) succ(n10) = all_4_27
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | BETA: splitting (11968) gives:
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | Case 1:
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | (12149) ~ (all_4_86 = all_4_87)
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_27, n10,
% 258.58/65.56 | | | | | | | | | | | simplifying with (197), (12148) gives:
% 258.58/65.56 | | | | | | | | | | | (12150) all_4_27 = n0
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (105), (114), (163), (164), (165),
% 258.58/65.56 | | | | | | | | | | | (166), (167), (168), (228), (12145), (12146),
% 258.58/65.56 | | | | | | | | | | | (12147), (12148), (12149), (12150) are
% 258.58/65.56 | | | | | | | | | | | inconsistent by sub-proof #155.
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | Case 2:
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | (12151) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 258.58/65.56 | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 258.58/65.56 | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 258.58/65.56 | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (151),
% 258.58/65.56 | | | | | | | | | | | (152), (153), (154), (155), (156), (157), (158),
% 258.58/65.56 | | | | | | | | | | | (159), (160), (161), (162), (189), (195), (220),
% 258.58/65.56 | | | | | | | | | | | (226), (11986), (11989), (12017), (12019),
% 258.58/65.56 | | | | | | | | | | | (12048), (12050), (12079), (12082), (12083),
% 258.58/65.56 | | | | | | | | | | | (12084), (12085), (12086), (12114), (12115),
% 258.58/65.56 | | | | | | | | | | | (12116), (12117), (12151) are inconsistent by
% 258.58/65.56 | | | | | | | | | | | sub-proof #82.
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | End of split
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | Case 2:
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | (12152) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 258.58/65.56 | | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.58/65.56 | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | BETA: splitting (11968) gives:
% 258.58/65.56 | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | Case 1:
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | (12153) ~ (all_4_86 = all_4_87)
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | BETA: splitting (12152) gives:
% 258.58/65.56 | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | Case 1:
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | (12154) all_4_100 = n7
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (230), (12154) imply:
% 258.58/65.56 | | | | | | | | | | | | (12155) pred(n7) = all_4_76
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (199), (12154) imply:
% 258.58/65.56 | | | | | | | | | | | | (12156) succ(n7) = all_4_78
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (194), (12156) gives:
% 258.58/65.56 | | | | | | | | | | | | (12157) all_4_78 = n8
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (225), (12155) gives:
% 258.58/65.56 | | | | | | | | | | | | (12158) all_4_76 = n6
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (130), (12157), (12158) imply:
% 258.58/65.56 | | | | | | | | | | | | (12159) sum(n6, n8) = all_4_72
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (11814), (12158) imply:
% 258.58/65.56 | | | | | | | | | | | | (12160) sum(n6, n9) = all_4_74
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (11816), (12157) imply:
% 258.58/65.56 | | | | | | | | | | | | (12161) sum(n7, n8) = all_4_77
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (80), (12159) gives:
% 258.58/65.56 | | | | | | | | | | | | (12162) all_4_72 = n3
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n9, n6,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (81), (12160) gives:
% 258.58/65.56 | | | | | | | | | | | | (12163) all_4_74 = n4
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n8, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (91), (12161) gives:
% 258.58/65.56 | | | | | | | | | | | | (12164) all_4_77 = n4
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (129), (12163), (12164) imply:
% 258.58/65.56 | | | | | | | | | | | | (12165) sum(n4, n4) = all_4_99
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (11818), (12162) imply:
% 258.58/65.56 | | | | | | | | | | | | (12166) sum(n5, n3) = all_4_98
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (54), (12165) gives:
% 258.58/65.56 | | | | | | | | | | | | (12167) all_4_99 = n8
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n3, n5,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (64), (12166) gives:
% 258.58/65.56 | | | | | | | | | | | | (12168) all_4_98 = n8
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (232), (12168) imply:
% 258.58/65.56 | | | | | | | | | | | | (12169) pred(n8) = all_4_68
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (231), (12167) imply:
% 258.58/65.56 | | | | | | | | | | | | (12170) pred(n8) = all_4_71
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (201), (12168) imply:
% 258.58/65.56 | | | | | | | | | | | | (12171) succ(n8) = all_4_70
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (200), (12167) imply:
% 258.58/65.56 | | | | | | | | | | | | (12172) succ(n8) = all_4_67
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (195), (12172) gives:
% 258.58/65.56 | | | | | | | | | | | | (12173) all_4_67 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12171), (12172) gives:
% 258.58/65.56 | | | | | | | | | | | | (12174) all_4_67 = all_4_70
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (226), (12169) gives:
% 258.58/65.56 | | | | | | | | | | | | (12175) all_4_68 = n7
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12169), (12170) gives:
% 258.58/65.56 | | | | | | | | | | | | (12176) all_4_68 = all_4_71
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12173), (12174) imply:
% 258.58/65.56 | | | | | | | | | | | | (12177) all_4_70 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12175), (12176) imply:
% 258.58/65.56 | | | | | | | | | | | | (12178) all_4_71 = n7
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (137), (12173), (12175) imply:
% 258.58/65.56 | | | | | | | | | | | | (12179) sum(n7, n9) = all_4_66
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (136), (12175), (12177) imply:
% 258.58/65.56 | | | | | | | | | | | | (12180) sum(n7, n9) = all_4_64
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (134), (12173), (12178) imply:
% 258.58/65.56 | | | | | | | | | | | | (12181) sum(n7, n9) = all_4_65
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (133), (12177), (12178) imply:
% 258.58/65.56 | | | | | | | | | | | | (12182) sum(n7, n9) = all_4_69
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (92), (12181) gives:
% 258.58/65.56 | | | | | | | | | | | | (12183) all_4_65 = n5
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12179), (12181) gives:
% 258.58/65.56 | | | | | | | | | | | | (12184) all_4_65 = all_4_66
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12179), (12180) gives:
% 258.58/65.56 | | | | | | | | | | | | (12185) all_4_64 = all_4_66
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12180), (12182) gives:
% 258.58/65.56 | | | | | | | | | | | | (12186) all_4_64 = all_4_69
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12185), (12186) imply:
% 258.58/65.56 | | | | | | | | | | | | (12187) all_4_66 = all_4_69
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | SIMP: (12187) implies:
% 258.58/65.56 | | | | | | | | | | | | (12188) all_4_66 = all_4_69
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12183), (12184) imply:
% 258.58/65.56 | | | | | | | | | | | | (12189) all_4_66 = n5
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | SIMP: (12189) implies:
% 258.58/65.56 | | | | | | | | | | | | (12190) all_4_66 = n5
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12188), (12190) imply:
% 258.58/65.56 | | | | | | | | | | | | (12191) all_4_69 = n5
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12186), (12191) imply:
% 258.58/65.56 | | | | | | | | | | | | (12192) all_4_64 = n5
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (138), (12183), (12192) imply:
% 258.58/65.56 | | | | | | | | | | | | (12193) sum(n5, n5) = all_4_96
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (135), (12190), (12191) imply:
% 258.58/65.56 | | | | | | | | | | | | (12194) sum(n5, n5) = all_4_97
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (66), (12193) gives:
% 258.58/65.56 | | | | | | | | | | | | (12195) all_4_96 = n10
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12193), (12194) gives:
% 258.58/65.56 | | | | | | | | | | | | (12196) all_4_96 = all_4_97
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12195), (12196) imply:
% 258.58/65.56 | | | | | | | | | | | | (12197) all_4_97 = n10
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | SIMP: (12197) implies:
% 258.58/65.56 | | | | | | | | | | | | (12198) all_4_97 = n10
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (234), (12195) imply:
% 258.58/65.56 | | | | | | | | | | | | (12199) pred(n10) = all_4_60
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (233), (12198) imply:
% 258.58/65.56 | | | | | | | | | | | | (12200) pred(n10) = all_4_63
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (203), (12195) imply:
% 258.58/65.56 | | | | | | | | | | | | (12201) succ(n10) = all_4_62
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (202), (12198) imply:
% 258.58/65.56 | | | | | | | | | | | | (12202) succ(n10) = all_4_59
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (197), (12202) gives:
% 258.58/65.56 | | | | | | | | | | | | (12203) all_4_59 = n0
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12201), (12202) gives:
% 258.58/65.56 | | | | | | | | | | | | (12204) all_4_59 = all_4_62
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (228), (12199) gives:
% 258.58/65.56 | | | | | | | | | | | | (12205) all_4_60 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12199), (12200) gives:
% 258.58/65.56 | | | | | | | | | | | | (12206) all_4_60 = all_4_63
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12203), (12204) imply:
% 258.58/65.56 | | | | | | | | | | | | (12207) all_4_62 = n0
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12205), (12206) imply:
% 258.58/65.56 | | | | | | | | | | | | (12208) all_4_63 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (143), (12203), (12205) imply:
% 258.58/65.56 | | | | | | | | | | | | (12209) sum(n9, n0) = all_4_58
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (142), (12205), (12207) imply:
% 258.58/65.56 | | | | | | | | | | | | (12210) sum(n9, n0) = all_4_56
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (140), (12203), (12208) imply:
% 258.58/65.56 | | | | | | | | | | | | (12211) sum(n9, n0) = all_4_57
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (139), (12207), (12208) imply:
% 258.58/65.56 | | | | | | | | | | | | (12212) sum(n9, n0) = all_4_61
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_57, n0, n9,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (105), (12211) gives:
% 258.58/65.56 | | | | | | | | | | | | (12213) all_4_57 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12209), (12211) gives:
% 258.58/65.56 | | | | | | | | | | | | (12214) all_4_57 = all_4_58
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12210), (12211) gives:
% 258.58/65.56 | | | | | | | | | | | | (12215) all_4_56 = all_4_57
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12210), (12212) gives:
% 258.58/65.56 | | | | | | | | | | | | (12216) all_4_56 = all_4_61
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12215), (12216) imply:
% 258.58/65.56 | | | | | | | | | | | | (12217) all_4_57 = all_4_61
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | SIMP: (12217) implies:
% 258.58/65.56 | | | | | | | | | | | | (12218) all_4_57 = all_4_61
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12213), (12214) imply:
% 258.58/65.56 | | | | | | | | | | | | (12219) all_4_58 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12214), (12218) imply:
% 258.58/65.56 | | | | | | | | | | | | (12220) all_4_58 = all_4_61
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12219), (12220) imply:
% 258.58/65.56 | | | | | | | | | | | | (12221) all_4_61 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12216), (12221) imply:
% 258.58/65.56 | | | | | | | | | | | | (12222) all_4_56 = n9
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (144), (12213), (12222) imply:
% 258.58/65.56 | | | | | | | | | | | | (12223) sum(n9, n9) = all_4_94
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (141), (12219), (12221) imply:
% 258.58/65.56 | | | | | | | | | | | | (12224) sum(n9, n9) = all_4_95
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (114), (12223) gives:
% 258.58/65.56 | | | | | | | | | | | | (12225) all_4_94 = n7
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12223), (12224) gives:
% 258.58/65.56 | | | | | | | | | | | | (12226) all_4_94 = all_4_95
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12225), (12226) imply:
% 258.58/65.56 | | | | | | | | | | | | (12227) all_4_95 = n7
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (236), (12225) imply:
% 258.58/65.56 | | | | | | | | | | | | (12228) pred(n7) = all_4_52
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (235), (12227) imply:
% 258.58/65.56 | | | | | | | | | | | | (12229) pred(n7) = all_4_55
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (205), (12225) imply:
% 258.58/65.56 | | | | | | | | | | | | (12230) succ(n7) = all_4_54
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | REDUCE: (204), (12227) imply:
% 258.58/65.56 | | | | | | | | | | | | (12231) succ(n7) = all_4_51
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (194), (12231) gives:
% 258.58/65.56 | | | | | | | | | | | | (12232) all_4_51 = n8
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12230), (12231) gives:
% 258.58/65.56 | | | | | | | | | | | | (12233) all_4_51 = all_4_54
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (225), (12228) gives:
% 258.58/65.56 | | | | | | | | | | | | (12234) all_4_52 = n6
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 258.58/65.56 | | | | | | | | | | | | simplifying with (12228), (12229) gives:
% 258.58/65.56 | | | | | | | | | | | | (12235) all_4_52 = all_4_55
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12232), (12233) imply:
% 258.58/65.56 | | | | | | | | | | | | (12236) all_4_54 = n8
% 258.58/65.56 | | | | | | | | | | | |
% 258.58/65.56 | | | | | | | | | | | | COMBINE_EQS: (12234), (12235) imply:
% 258.58/65.57 | | | | | | | | | | | | (12237) all_4_55 = n6
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12237) implies:
% 258.58/65.57 | | | | | | | | | | | | (12238) all_4_55 = n6
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (149), (12232), (12234) imply:
% 258.58/65.57 | | | | | | | | | | | | (12239) sum(n6, n8) = all_4_50
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (148), (12234), (12236) imply:
% 258.58/65.57 | | | | | | | | | | | | (12240) sum(n6, n8) = all_4_48
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (146), (12232), (12238) imply:
% 258.58/65.57 | | | | | | | | | | | | (12241) sum(n6, n8) = all_4_49
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (145), (12236), (12238) imply:
% 258.58/65.57 | | | | | | | | | | | | (12242) sum(n6, n8) = all_4_53
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_49, n8, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (80), (12241) gives:
% 258.58/65.57 | | | | | | | | | | | | (12243) all_4_49 = n3
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12239), (12241) gives:
% 258.58/65.57 | | | | | | | | | | | | (12244) all_4_49 = all_4_50
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12240), (12241) gives:
% 258.58/65.57 | | | | | | | | | | | | (12245) all_4_48 = all_4_49
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12240), (12242) gives:
% 258.58/65.57 | | | | | | | | | | | | (12246) all_4_48 = all_4_53
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12245), (12246) imply:
% 258.58/65.57 | | | | | | | | | | | | (12247) all_4_49 = all_4_53
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12247) implies:
% 258.58/65.57 | | | | | | | | | | | | (12248) all_4_49 = all_4_53
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12243), (12244) imply:
% 258.58/65.57 | | | | | | | | | | | | (12249) all_4_50 = n3
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12244), (12248) imply:
% 258.58/65.57 | | | | | | | | | | | | (12250) all_4_50 = all_4_53
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12249), (12250) imply:
% 258.58/65.57 | | | | | | | | | | | | (12251) all_4_53 = n3
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12246), (12251) imply:
% 258.58/65.57 | | | | | | | | | | | | (12252) all_4_48 = n3
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (150), (12243), (12252) imply:
% 258.58/65.57 | | | | | | | | | | | | (12253) sum(n3, n3) = all_4_92
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (147), (12249), (12251) imply:
% 258.58/65.57 | | | | | | | | | | | | (12254) sum(n3, n3) = all_4_93
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (42), (12253) gives:
% 258.58/65.57 | | | | | | | | | | | | (12255) all_4_92 = n6
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12253), (12254) gives:
% 258.58/65.57 | | | | | | | | | | | | (12256) all_4_92 = all_4_93
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12255), (12256) imply:
% 258.58/65.57 | | | | | | | | | | | | (12257) all_4_93 = n6
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12257) implies:
% 258.58/65.57 | | | | | | | | | | | | (12258) all_4_93 = n6
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (238), (12255) imply:
% 258.58/65.57 | | | | | | | | | | | | (12259) pred(n6) = all_4_44
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (237), (12258) imply:
% 258.58/65.57 | | | | | | | | | | | | (12260) pred(n6) = all_4_47
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (207), (12255) imply:
% 258.58/65.57 | | | | | | | | | | | | (12261) succ(n6) = all_4_46
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (206), (12258) imply:
% 258.58/65.57 | | | | | | | | | | | | (12262) succ(n6) = all_4_43
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_43, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (193), (12262) gives:
% 258.58/65.57 | | | | | | | | | | | | (12263) all_4_43 = n7
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12261), (12262) gives:
% 258.58/65.57 | | | | | | | | | | | | (12264) all_4_43 = all_4_46
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_44, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (224), (12259) gives:
% 258.58/65.57 | | | | | | | | | | | | (12265) all_4_44 = n5
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n6,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12259), (12260) gives:
% 258.58/65.57 | | | | | | | | | | | | (12266) all_4_44 = all_4_47
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12263), (12264) imply:
% 258.58/65.57 | | | | | | | | | | | | (12267) all_4_46 = n7
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12265), (12266) imply:
% 258.58/65.57 | | | | | | | | | | | | (12268) all_4_47 = n5
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (155), (12263), (12265) imply:
% 258.58/65.57 | | | | | | | | | | | | (12269) sum(n5, n7) = all_4_42
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (154), (12265), (12267) imply:
% 258.58/65.57 | | | | | | | | | | | | (12270) sum(n5, n7) = all_4_40
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (152), (12263), (12268) imply:
% 258.58/65.57 | | | | | | | | | | | | (12271) sum(n5, n7) = all_4_41
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (151), (12267), (12268) imply:
% 258.58/65.57 | | | | | | | | | | | | (12272) sum(n5, n7) = all_4_45
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_41, n7, n5,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (68), (12271) gives:
% 258.58/65.57 | | | | | | | | | | | | (12273) all_4_41 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n7, n5,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12269), (12271) gives:
% 258.58/65.57 | | | | | | | | | | | | (12274) all_4_41 = all_4_42
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n7, n5,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12270), (12271) gives:
% 258.58/65.57 | | | | | | | | | | | | (12275) all_4_40 = all_4_41
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n7, n5,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12270), (12272) gives:
% 258.58/65.57 | | | | | | | | | | | | (12276) all_4_40 = all_4_45
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12275), (12276) imply:
% 258.58/65.57 | | | | | | | | | | | | (12277) all_4_41 = all_4_45
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12277) implies:
% 258.58/65.57 | | | | | | | | | | | | (12278) all_4_41 = all_4_45
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12273), (12274) imply:
% 258.58/65.57 | | | | | | | | | | | | (12279) all_4_42 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12274), (12278) imply:
% 258.58/65.57 | | | | | | | | | | | | (12280) all_4_42 = all_4_45
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12279), (12280) imply:
% 258.58/65.57 | | | | | | | | | | | | (12281) all_4_45 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12281) implies:
% 258.58/65.57 | | | | | | | | | | | | (12282) all_4_45 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12276), (12282) imply:
% 258.58/65.57 | | | | | | | | | | | | (12283) all_4_40 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (156), (12273), (12283) imply:
% 258.58/65.57 | | | | | | | | | | | | (12284) sum(n1, n1) = all_4_90
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (153), (12279), (12282) imply:
% 258.58/65.57 | | | | | | | | | | | | (12285) sum(n1, n1) = all_4_91
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_90, n1, n1,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (18), (12284) gives:
% 258.58/65.57 | | | | | | | | | | | | (12286) all_4_90 = n2
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n1, n1,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12284), (12285) gives:
% 258.58/65.57 | | | | | | | | | | | | (12287) all_4_90 = all_4_91
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12286), (12287) imply:
% 258.58/65.57 | | | | | | | | | | | | (12288) all_4_91 = n2
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12288) implies:
% 258.58/65.57 | | | | | | | | | | | | (12289) all_4_91 = n2
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (240), (12286) imply:
% 258.58/65.57 | | | | | | | | | | | | (12290) pred(n2) = all_4_36
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (239), (12289) imply:
% 258.58/65.57 | | | | | | | | | | | | (12291) pred(n2) = all_4_39
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (209), (12286) imply:
% 258.58/65.57 | | | | | | | | | | | | (12292) succ(n2) = all_4_38
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (208), (12289) imply:
% 258.58/65.57 | | | | | | | | | | | | (12293) succ(n2) = all_4_35
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_35, n2,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (189), (12293) gives:
% 258.58/65.57 | | | | | | | | | | | | (12294) all_4_35 = n3
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n2,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12292), (12293) gives:
% 258.58/65.57 | | | | | | | | | | | | (12295) all_4_35 = all_4_38
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_36, n2,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (220), (12290) gives:
% 258.58/65.57 | | | | | | | | | | | | (12296) all_4_36 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n2,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12290), (12291) gives:
% 258.58/65.57 | | | | | | | | | | | | (12297) all_4_36 = all_4_39
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12294), (12295) imply:
% 258.58/65.57 | | | | | | | | | | | | (12298) all_4_38 = n3
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12296), (12297) imply:
% 258.58/65.57 | | | | | | | | | | | | (12299) all_4_39 = n1
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (161), (12294), (12296) imply:
% 258.58/65.57 | | | | | | | | | | | | (12300) sum(n1, n3) = all_4_34
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (160), (12296), (12298) imply:
% 258.58/65.57 | | | | | | | | | | | | (12301) sum(n1, n3) = all_4_32
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (158), (12294), (12299) imply:
% 258.58/65.57 | | | | | | | | | | | | (12302) sum(n1, n3) = all_4_33
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (157), (12298), (12299) imply:
% 258.58/65.57 | | | | | | | | | | | | (12303) sum(n1, n3) = all_4_37
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_33, n3, n1,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (20), (12302) gives:
% 258.58/65.57 | | | | | | | | | | | | (12304) all_4_33 = n4
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n3, n1,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12300), (12302) gives:
% 258.58/65.57 | | | | | | | | | | | | (12305) all_4_33 = all_4_34
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n3, n1,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12301), (12302) gives:
% 258.58/65.57 | | | | | | | | | | | | (12306) all_4_32 = all_4_33
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n3, n1,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12301), (12303) gives:
% 258.58/65.57 | | | | | | | | | | | | (12307) all_4_32 = all_4_37
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12306), (12307) imply:
% 258.58/65.57 | | | | | | | | | | | | (12308) all_4_33 = all_4_37
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | SIMP: (12308) implies:
% 258.58/65.57 | | | | | | | | | | | | (12309) all_4_33 = all_4_37
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12304), (12305) imply:
% 258.58/65.57 | | | | | | | | | | | | (12310) all_4_34 = n4
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12305), (12309) imply:
% 258.58/65.57 | | | | | | | | | | | | (12311) all_4_34 = all_4_37
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12310), (12311) imply:
% 258.58/65.57 | | | | | | | | | | | | (12312) all_4_37 = n4
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12307), (12312) imply:
% 258.58/65.57 | | | | | | | | | | | | (12313) all_4_32 = n4
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (162), (12304), (12313) imply:
% 258.58/65.57 | | | | | | | | | | | | (12314) sum(n4, n4) = all_4_88
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (159), (12310), (12312) imply:
% 258.58/65.57 | | | | | | | | | | | | (12315) sum(n4, n4) = all_4_89
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_88, n4, n4,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (54), (12314) gives:
% 258.58/65.57 | | | | | | | | | | | | (12316) all_4_88 = n8
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n4, n4,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (12314), (12315) gives:
% 258.58/65.57 | | | | | | | | | | | | (12317) all_4_88 = all_4_89
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | COMBINE_EQS: (12316), (12317) imply:
% 258.58/65.57 | | | | | | | | | | | | (12318) all_4_89 = n8
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (242), (12316) imply:
% 258.58/65.57 | | | | | | | | | | | | (12319) pred(n8) = all_4_28
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (241), (12318) imply:
% 258.58/65.57 | | | | | | | | | | | | (12320) pred(n8) = all_4_31
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (211), (12316) imply:
% 258.58/65.57 | | | | | | | | | | | | (12321) succ(n8) = all_4_30
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REDUCE: (210), (12318) imply:
% 258.58/65.57 | | | | | | | | | | | | (12322) succ(n8) = all_4_27
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_27, n8,
% 258.58/65.57 | | | | | | | | | | | | simplifying with (195), (12322) gives:
% 258.58/65.57 | | | | | | | | | | | | (12323) all_4_27 = n9
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (163), (164), (165),
% 258.58/65.57 | | | | | | | | | | | | (166), (167), (168), (226), (12153), (12319),
% 258.58/65.57 | | | | | | | | | | | | (12320), (12321), (12322), (12323) are
% 258.58/65.57 | | | | | | | | | | | | inconsistent by sub-proof #153.
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | Case 2:
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | (12324) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 258.58/65.57 | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.58/65.57 | | | | | | | | | | | | all_4_100 = n0
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | BETA: splitting (12324) gives:
% 258.58/65.57 | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | Case 1:
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | (12325) all_4_100 = n6
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (230), (12325) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12326) pred(n6) = all_4_76
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (199), (12325) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12327) succ(n6) = all_4_78
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (193), (12327) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12328) all_4_78 = n7
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (224), (12326) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12329) all_4_76 = n5
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (130), (12328), (12329) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12330) sum(n5, n7) = all_4_72
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (11814), (12329) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12331) sum(n5, n9) = all_4_74
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (11816), (12328) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12332) sum(n7, n7) = all_4_77
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (68), (12330) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12333) all_4_72 = n1
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n9, n5,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (70), (12331) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12334) all_4_74 = n3
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n7, n7,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (90), (12332) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12335) all_4_77 = n3
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (129), (12334), (12335) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12336) sum(n3, n3) = all_4_99
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REDUCE: (11818), (12333) imply:
% 258.58/65.57 | | | | | | | | | | | | | (12337) sum(n5, n1) = all_4_98
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (42), (12336) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12338) all_4_99 = n6
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n1, n5,
% 258.58/65.57 | | | | | | | | | | | | | simplifying with (62), (12337) gives:
% 258.58/65.57 | | | | | | | | | | | | | (12339) all_4_98 = n6
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.58/65.57 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.58/65.57 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.57 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.57 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.57 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.57 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.58/65.57 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.58/65.57 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.58/65.57 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.58/65.57 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.57 | | | | | | | | | | | | | (240), (241), (242), (12153), (12336), (12338),
% 258.58/65.57 | | | | | | | | | | | | | (12339) are inconsistent by sub-proof #151.
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | Case 2:
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | (12340) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 258.58/65.57 | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | BETA: splitting (12340) gives:
% 258.58/65.57 | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | Case 1:
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | (12341) all_4_100 = n5
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (230), (12341) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12342) pred(n5) = all_4_76
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (199), (12341) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12343) succ(n5) = all_4_78
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (192), (12343) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12344) all_4_78 = n6
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (223), (12342) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12345) all_4_76 = n4
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (130), (12344), (12345) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12346) sum(n4, n6) = all_4_72
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (11814), (12345) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12347) sum(n4, n9) = all_4_74
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (11816), (12344) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12348) sum(n7, n6) = all_4_77
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (56), (12346) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12349) all_4_72 = n10
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (59), (12347) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12350) all_4_74 = n2
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (89), (12348) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12351) all_4_77 = n2
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (129), (12350), (12351) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12352) sum(n2, n2) = all_4_99
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REDUCE: (11818), (12349) imply:
% 258.58/65.57 | | | | | | | | | | | | | | (12353) sum(n5, n10) = all_4_98
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (30), (12352) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12354) all_4_99 = n4
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 258.58/65.57 | | | | | | | | | | | | | | simplifying with (71), (12353) gives:
% 258.58/65.57 | | | | | | | | | | | | | | (12355) all_4_98 = n4
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.58/65.57 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.58/65.57 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.57 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.57 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.57 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.57 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 258.58/65.57 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 258.58/65.57 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.58/65.57 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 258.58/65.57 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.57 | | | | | | | | | | | | | | (240), (241), (242), (12153), (12352), (12354),
% 258.58/65.57 | | | | | | | | | | | | | | (12355) are inconsistent by sub-proof #150.
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | Case 2:
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | (12356) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.58/65.57 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | BETA: splitting (12356) gives:
% 258.58/65.57 | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | Case 1:
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | (12357) all_4_100 = n4
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (230), (12357) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12358) pred(n4) = all_4_76
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (199), (12357) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12359) succ(n4) = all_4_78
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (191), (12359) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12360) all_4_78 = n5
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (222), (12358) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12361) all_4_76 = n3
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (130), (12360), (12361) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12362) sum(n3, n5) = all_4_72
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (11814), (12361) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12363) sum(n3, n9) = all_4_74
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (11816), (12360) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12364) sum(n7, n5) = all_4_77
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (44), (12362) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12365) all_4_72 = n8
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (48), (12363) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12366) all_4_74 = n1
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (88), (12364) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12367) all_4_77 = n1
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (129), (12366), (12367) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12368) sum(n1, n1) = all_4_99
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REDUCE: (11818), (12365) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | (12369) sum(n5, n8) = all_4_98
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (18), (12368) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12370) all_4_99 = n2
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 258.58/65.57 | | | | | | | | | | | | | | | simplifying with (69), (12369) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | (12371) all_4_98 = n2
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.58/65.57 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.58/65.57 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.57 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.57 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.57 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.57 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.58/65.57 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.58/65.57 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.58/65.57 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.58/65.57 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.57 | | | | | | | | | | | | | | | (240), (241), (242), (12153), (12368), (12370),
% 258.58/65.57 | | | | | | | | | | | | | | | (12371) are inconsistent by sub-proof #149.
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | Case 2:
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | (12372) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.58/65.57 | | | | | | | | | | | | | | | all_4_100 = n0
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | BETA: splitting (12372) gives:
% 258.58/65.57 | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | Case 1:
% 258.58/65.57 | | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | | (12373) all_4_100 = n3
% 258.58/65.57 | | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | | REDUCE: (230), (12373) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | | (12374) pred(n3) = all_4_76
% 258.58/65.57 | | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | | REDUCE: (199), (12373) imply:
% 258.58/65.57 | | | | | | | | | | | | | | | | (12375) succ(n3) = all_4_78
% 258.58/65.57 | | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.58/65.57 | | | | | | | | | | | | | | | | simplifying with (190), (12375) gives:
% 258.58/65.57 | | | | | | | | | | | | | | | | (12376) all_4_78 = n4
% 258.58/65.57 | | | | | | | | | | | | | | | |
% 258.58/65.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.58/65.57 | | | | | | | | | | | | | | | | simplifying with (221), (12374) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12377) all_4_76 = n2
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | REDUCE: (130), (12376), (12377) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12378) sum(n2, n4) = all_4_72
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | REDUCE: (11814), (12377) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12379) sum(n2, n9) = all_4_74
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | REDUCE: (11816), (12376) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12380) sum(n7, n4) = all_4_77
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.58/65.58 | | | | | | | | | | | | | | | | simplifying with (32), (12378) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12381) all_4_72 = n6
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 258.58/65.58 | | | | | | | | | | | | | | | | simplifying with (37), (12379) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12382) all_4_74 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 258.58/65.58 | | | | | | | | | | | | | | | | simplifying with (87), (12380) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12383) all_4_77 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | REDUCE: (129), (12382), (12383) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12384) sum(n0, n0) = all_4_99
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | REDUCE: (11818), (12381) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12385) sum(n5, n6) = all_4_98
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.58/65.58 | | | | | | | | | | | | | | | | simplifying with (6), (12384) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12386) all_4_99 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 258.58/65.58 | | | | | | | | | | | | | | | | simplifying with (67), (12385) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | (12387) all_4_98 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.58/65.58 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.58 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.58 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.58 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.58 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 258.58/65.58 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 258.58/65.58 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 258.58/65.58 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.58/65.58 | | | | | | | | | | | | | | | | (241), (242), (12153), (12384), (12386), (12387)
% 258.58/65.58 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | Case 2:
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | (12388) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | BETA: splitting (12388) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12389) all_4_100 = n2
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (230), (12389) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12390) pred(n2) = all_4_76
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (199), (12389) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12391) succ(n2) = all_4_78
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (189), (12391) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12392) all_4_78 = n3
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (220), (12390) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12393) all_4_76 = n1
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (130), (12392), (12393) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12394) sum(n1, n3) = all_4_72
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (11814), (12393) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12395) sum(n1, n9) = all_4_74
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (11816), (12392) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12396) sum(n7, n3) = all_4_77
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (20), (12394) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12397) all_4_72 = n4
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (26), (12395) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12398) all_4_74 = n10
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (86), (12396) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12399) all_4_77 = n10
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (129), (12398), (12399) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12400) sum(n10, n10) = all_4_99
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REDUCE: (11818), (12397) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12401) sum(n5, n4) = all_4_98
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (65), (12401) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12402) all_4_98 = n9
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.58/65.58 | | | | | | | | | | | | | | | | | simplifying with (126), (12400) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12403) all_4_99 = n9
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (240), (241), (242), (12153), (12400), (12402),
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12403) are inconsistent by sub-proof #146.
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | (12404) all_4_100 = n1 | all_4_100 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | BETA: splitting (12404) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | Case 1:
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12405) all_4_100 = n1
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (230), (12405) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12406) pred(n1) = all_4_76
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (199), (12405) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12407) succ(n1) = all_4_78
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (188), (12407) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12408) all_4_78 = n2
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (219), (12406) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12409) all_4_76 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (130), (12408), (12409) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12410) sum(n0, n2) = all_4_72
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (11814), (12409) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12411) sum(n0, n9) = all_4_74
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (12408) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12412) sum(n7, n2) = all_4_77
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (8), (12410) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12413) all_4_72 = n2
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n9, n0,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (15), (12411) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12414) all_4_74 = n9
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n2, n7,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (85), (12412) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12415) all_4_77 = n9
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (129), (12414), (12415) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12416) sum(n9, n9) = all_4_99
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (12413) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12417) sum(n5, n2) = all_4_98
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n2, n5,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (63), (12417) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12418) all_4_98 = n7
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (114), (12416) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12419) all_4_99 = n7
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (240), (241), (242), (11968), (12416), (12418),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12419) are inconsistent by sub-proof #83.
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | Case 2:
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12420) all_4_100 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (230), (12420) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12421) pred(n0) = all_4_76
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (199), (12420) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12422) succ(n0) = all_4_78
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (187), (12422) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12423) all_4_78 = n1
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (218), (12421) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12424) all_4_76 = n10
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (130), (12423), (12424) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12425) sum(n10, n1) = all_4_72
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (11814), (12424) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12426) sum(n10, n9) = all_4_74
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (12423) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12427) sum(n7, n1) = all_4_77
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n1, n7,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (84), (12427) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12428) all_4_77 = n8
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (117), (12425) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12429) all_4_72 = n0
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n9, n10,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (125), (12426) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12430) all_4_74 = n8
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (129), (12428), (12430) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12431) sum(n8, n8) = all_4_99
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (12429) imply:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12432) sum(n5, n0) = all_4_98
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n0, n5,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (61), (12432) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12433) all_4_98 = n5
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.58/65.58 | | | | | | | | | | | | | | | | | | simplifying with (102), (12431) gives:
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12434) all_4_99 = n5
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (240), (241), (242), (11968), (12431), (12433),
% 258.58/65.58 | | | | | | | | | | | | | | | | | | (12434) are inconsistent by sub-proof #69.
% 258.58/65.58 | | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | End of split
% 258.58/65.58 | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | Case 2:
% 258.58/65.58 | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | (12435) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 258.58/65.58 | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 258.58/65.58 | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 258.58/65.58 | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 258.58/65.58 | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | BETA: splitting (12152) gives:
% 258.58/65.58 | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | Case 1:
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | (12436) all_4_100 = n7
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (230), (12436) imply:
% 258.58/65.58 | | | | | | | | | | | | (12437) pred(n7) = all_4_76
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (199), (12436) imply:
% 258.58/65.58 | | | | | | | | | | | | (12438) succ(n7) = all_4_78
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (194), (12438) gives:
% 258.58/65.58 | | | | | | | | | | | | (12439) all_4_78 = n8
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (225), (12437) gives:
% 258.58/65.58 | | | | | | | | | | | | (12440) all_4_76 = n6
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (130), (12439), (12440) imply:
% 258.58/65.58 | | | | | | | | | | | | (12441) sum(n6, n8) = all_4_72
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (11814), (12440) imply:
% 258.58/65.58 | | | | | | | | | | | | (12442) sum(n6, n9) = all_4_74
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (11816), (12439) imply:
% 258.58/65.58 | | | | | | | | | | | | (12443) sum(n7, n8) = all_4_77
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (80), (12441) gives:
% 258.58/65.58 | | | | | | | | | | | | (12444) all_4_72 = n3
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n9, n6,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (81), (12442) gives:
% 258.58/65.58 | | | | | | | | | | | | (12445) all_4_74 = n4
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n8, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (91), (12443) gives:
% 258.58/65.58 | | | | | | | | | | | | (12446) all_4_77 = n4
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (129), (12445), (12446) imply:
% 258.58/65.58 | | | | | | | | | | | | (12447) sum(n4, n4) = all_4_99
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (11818), (12444) imply:
% 258.58/65.58 | | | | | | | | | | | | (12448) sum(n5, n3) = all_4_98
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (54), (12447) gives:
% 258.58/65.58 | | | | | | | | | | | | (12449) all_4_99 = n8
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n3, n5,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (64), (12448) gives:
% 258.58/65.58 | | | | | | | | | | | | (12450) all_4_98 = n8
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (232), (12450) imply:
% 258.58/65.58 | | | | | | | | | | | | (12451) pred(n8) = all_4_68
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (231), (12449) imply:
% 258.58/65.58 | | | | | | | | | | | | (12452) pred(n8) = all_4_71
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (201), (12450) imply:
% 258.58/65.58 | | | | | | | | | | | | (12453) succ(n8) = all_4_70
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (200), (12449) imply:
% 258.58/65.58 | | | | | | | | | | | | (12454) succ(n8) = all_4_67
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (195), (12454) gives:
% 258.58/65.58 | | | | | | | | | | | | (12455) all_4_67 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12453), (12454) gives:
% 258.58/65.58 | | | | | | | | | | | | (12456) all_4_67 = all_4_70
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (226), (12451) gives:
% 258.58/65.58 | | | | | | | | | | | | (12457) all_4_68 = n7
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12451), (12452) gives:
% 258.58/65.58 | | | | | | | | | | | | (12458) all_4_68 = all_4_71
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12455), (12456) imply:
% 258.58/65.58 | | | | | | | | | | | | (12459) all_4_70 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | SIMP: (12459) implies:
% 258.58/65.58 | | | | | | | | | | | | (12460) all_4_70 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12457), (12458) imply:
% 258.58/65.58 | | | | | | | | | | | | (12461) all_4_71 = n7
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (137), (12455), (12457) imply:
% 258.58/65.58 | | | | | | | | | | | | (12462) sum(n7, n9) = all_4_66
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (136), (12457), (12460) imply:
% 258.58/65.58 | | | | | | | | | | | | (12463) sum(n7, n9) = all_4_64
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (134), (12455), (12461) imply:
% 258.58/65.58 | | | | | | | | | | | | (12464) sum(n7, n9) = all_4_65
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (133), (12460), (12461) imply:
% 258.58/65.58 | | | | | | | | | | | | (12465) sum(n7, n9) = all_4_69
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (92), (12464) gives:
% 258.58/65.58 | | | | | | | | | | | | (12466) all_4_65 = n5
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12462), (12464) gives:
% 258.58/65.58 | | | | | | | | | | | | (12467) all_4_65 = all_4_66
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12462), (12463) gives:
% 258.58/65.58 | | | | | | | | | | | | (12468) all_4_64 = all_4_66
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12463), (12465) gives:
% 258.58/65.58 | | | | | | | | | | | | (12469) all_4_64 = all_4_69
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12468), (12469) imply:
% 258.58/65.58 | | | | | | | | | | | | (12470) all_4_66 = all_4_69
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | SIMP: (12470) implies:
% 258.58/65.58 | | | | | | | | | | | | (12471) all_4_66 = all_4_69
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12466), (12467) imply:
% 258.58/65.58 | | | | | | | | | | | | (12472) all_4_66 = n5
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | SIMP: (12472) implies:
% 258.58/65.58 | | | | | | | | | | | | (12473) all_4_66 = n5
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12471), (12473) imply:
% 258.58/65.58 | | | | | | | | | | | | (12474) all_4_69 = n5
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12469), (12474) imply:
% 258.58/65.58 | | | | | | | | | | | | (12475) all_4_64 = n5
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (138), (12466), (12475) imply:
% 258.58/65.58 | | | | | | | | | | | | (12476) sum(n5, n5) = all_4_96
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (135), (12473), (12474) imply:
% 258.58/65.58 | | | | | | | | | | | | (12477) sum(n5, n5) = all_4_97
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (66), (12476) gives:
% 258.58/65.58 | | | | | | | | | | | | (12478) all_4_96 = n10
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12476), (12477) gives:
% 258.58/65.58 | | | | | | | | | | | | (12479) all_4_96 = all_4_97
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12478), (12479) imply:
% 258.58/65.58 | | | | | | | | | | | | (12480) all_4_97 = n10
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (234), (12478) imply:
% 258.58/65.58 | | | | | | | | | | | | (12481) pred(n10) = all_4_60
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (233), (12480) imply:
% 258.58/65.58 | | | | | | | | | | | | (12482) pred(n10) = all_4_63
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (203), (12478) imply:
% 258.58/65.58 | | | | | | | | | | | | (12483) succ(n10) = all_4_62
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (202), (12480) imply:
% 258.58/65.58 | | | | | | | | | | | | (12484) succ(n10) = all_4_59
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (197), (12484) gives:
% 258.58/65.58 | | | | | | | | | | | | (12485) all_4_59 = n0
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12483), (12484) gives:
% 258.58/65.58 | | | | | | | | | | | | (12486) all_4_59 = all_4_62
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (228), (12481) gives:
% 258.58/65.58 | | | | | | | | | | | | (12487) all_4_60 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12481), (12482) gives:
% 258.58/65.58 | | | | | | | | | | | | (12488) all_4_60 = all_4_63
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12485), (12486) imply:
% 258.58/65.58 | | | | | | | | | | | | (12489) all_4_62 = n0
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | SIMP: (12489) implies:
% 258.58/65.58 | | | | | | | | | | | | (12490) all_4_62 = n0
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12487), (12488) imply:
% 258.58/65.58 | | | | | | | | | | | | (12491) all_4_63 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (143), (12485), (12487) imply:
% 258.58/65.58 | | | | | | | | | | | | (12492) sum(n9, n0) = all_4_58
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (142), (12487), (12490) imply:
% 258.58/65.58 | | | | | | | | | | | | (12493) sum(n9, n0) = all_4_56
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (140), (12485), (12491) imply:
% 258.58/65.58 | | | | | | | | | | | | (12494) sum(n9, n0) = all_4_57
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (139), (12490), (12491) imply:
% 258.58/65.58 | | | | | | | | | | | | (12495) sum(n9, n0) = all_4_61
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_58, n0, n9,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (105), (12492) gives:
% 258.58/65.58 | | | | | | | | | | | | (12496) all_4_58 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12492), (12494) gives:
% 258.58/65.58 | | | | | | | | | | | | (12497) all_4_57 = all_4_58
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12493), (12494) gives:
% 258.58/65.58 | | | | | | | | | | | | (12498) all_4_56 = all_4_57
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12493), (12495) gives:
% 258.58/65.58 | | | | | | | | | | | | (12499) all_4_56 = all_4_61
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12498), (12499) imply:
% 258.58/65.58 | | | | | | | | | | | | (12500) all_4_57 = all_4_61
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | SIMP: (12500) implies:
% 258.58/65.58 | | | | | | | | | | | | (12501) all_4_57 = all_4_61
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12497), (12501) imply:
% 258.58/65.58 | | | | | | | | | | | | (12502) all_4_58 = all_4_61
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | SIMP: (12502) implies:
% 258.58/65.58 | | | | | | | | | | | | (12503) all_4_58 = all_4_61
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12496), (12503) imply:
% 258.58/65.58 | | | | | | | | | | | | (12504) all_4_61 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12501), (12504) imply:
% 258.58/65.58 | | | | | | | | | | | | (12505) all_4_57 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12499), (12504) imply:
% 258.58/65.58 | | | | | | | | | | | | (12506) all_4_56 = n9
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (144), (12505), (12506) imply:
% 258.58/65.58 | | | | | | | | | | | | (12507) sum(n9, n9) = all_4_94
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (141), (12496), (12504) imply:
% 258.58/65.58 | | | | | | | | | | | | (12508) sum(n9, n9) = all_4_95
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (114), (12507) gives:
% 258.58/65.58 | | | | | | | | | | | | (12509) all_4_94 = n7
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 258.58/65.58 | | | | | | | | | | | | simplifying with (12507), (12508) gives:
% 258.58/65.58 | | | | | | | | | | | | (12510) all_4_94 = all_4_95
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | COMBINE_EQS: (12509), (12510) imply:
% 258.58/65.58 | | | | | | | | | | | | (12511) all_4_95 = n7
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (236), (12509) imply:
% 258.58/65.58 | | | | | | | | | | | | (12512) pred(n7) = all_4_52
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (235), (12511) imply:
% 258.58/65.58 | | | | | | | | | | | | (12513) pred(n7) = all_4_55
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (205), (12509) imply:
% 258.58/65.58 | | | | | | | | | | | | (12514) succ(n7) = all_4_54
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.58 | | | | | | | | | | | | REDUCE: (204), (12511) imply:
% 258.58/65.58 | | | | | | | | | | | | (12515) succ(n7) = all_4_51
% 258.58/65.58 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (194), (12515) gives:
% 258.58/65.59 | | | | | | | | | | | | (12516) all_4_51 = n8
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12514), (12515) gives:
% 258.58/65.59 | | | | | | | | | | | | (12517) all_4_51 = all_4_54
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (225), (12512) gives:
% 258.58/65.59 | | | | | | | | | | | | (12518) all_4_52 = n6
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12512), (12513) gives:
% 258.58/65.59 | | | | | | | | | | | | (12519) all_4_52 = all_4_55
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12516), (12517) imply:
% 258.58/65.59 | | | | | | | | | | | | (12520) all_4_54 = n8
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12520) implies:
% 258.58/65.59 | | | | | | | | | | | | (12521) all_4_54 = n8
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12518), (12519) imply:
% 258.58/65.59 | | | | | | | | | | | | (12522) all_4_55 = n6
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (149), (12516), (12518) imply:
% 258.58/65.59 | | | | | | | | | | | | (12523) sum(n6, n8) = all_4_50
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (148), (12518), (12521) imply:
% 258.58/65.59 | | | | | | | | | | | | (12524) sum(n6, n8) = all_4_48
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (146), (12516), (12522) imply:
% 258.58/65.59 | | | | | | | | | | | | (12525) sum(n6, n8) = all_4_49
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (145), (12521), (12522) imply:
% 258.58/65.59 | | | | | | | | | | | | (12526) sum(n6, n8) = all_4_53
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_50, n8, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (80), (12523) gives:
% 258.58/65.59 | | | | | | | | | | | | (12527) all_4_50 = n3
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12523), (12525) gives:
% 258.58/65.59 | | | | | | | | | | | | (12528) all_4_49 = all_4_50
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12524), (12525) gives:
% 258.58/65.59 | | | | | | | | | | | | (12529) all_4_48 = all_4_49
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12524), (12526) gives:
% 258.58/65.59 | | | | | | | | | | | | (12530) all_4_48 = all_4_53
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12529), (12530) imply:
% 258.58/65.59 | | | | | | | | | | | | (12531) all_4_49 = all_4_53
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12531) implies:
% 258.58/65.59 | | | | | | | | | | | | (12532) all_4_49 = all_4_53
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12528), (12532) imply:
% 258.58/65.59 | | | | | | | | | | | | (12533) all_4_50 = all_4_53
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12533) implies:
% 258.58/65.59 | | | | | | | | | | | | (12534) all_4_50 = all_4_53
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12527), (12534) imply:
% 258.58/65.59 | | | | | | | | | | | | (12535) all_4_53 = n3
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12532), (12535) imply:
% 258.58/65.59 | | | | | | | | | | | | (12536) all_4_49 = n3
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12530), (12535) imply:
% 258.58/65.59 | | | | | | | | | | | | (12537) all_4_48 = n3
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (150), (12536), (12537) imply:
% 258.58/65.59 | | | | | | | | | | | | (12538) sum(n3, n3) = all_4_92
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (147), (12527), (12535) imply:
% 258.58/65.59 | | | | | | | | | | | | (12539) sum(n3, n3) = all_4_93
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (42), (12538) gives:
% 258.58/65.59 | | | | | | | | | | | | (12540) all_4_92 = n6
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12538), (12539) gives:
% 258.58/65.59 | | | | | | | | | | | | (12541) all_4_92 = all_4_93
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12540), (12541) imply:
% 258.58/65.59 | | | | | | | | | | | | (12542) all_4_93 = n6
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12542) implies:
% 258.58/65.59 | | | | | | | | | | | | (12543) all_4_93 = n6
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (238), (12540) imply:
% 258.58/65.59 | | | | | | | | | | | | (12544) pred(n6) = all_4_44
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (237), (12543) imply:
% 258.58/65.59 | | | | | | | | | | | | (12545) pred(n6) = all_4_47
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (207), (12540) imply:
% 258.58/65.59 | | | | | | | | | | | | (12546) succ(n6) = all_4_46
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (206), (12543) imply:
% 258.58/65.59 | | | | | | | | | | | | (12547) succ(n6) = all_4_43
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_43, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (193), (12547) gives:
% 258.58/65.59 | | | | | | | | | | | | (12548) all_4_43 = n7
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12546), (12547) gives:
% 258.58/65.59 | | | | | | | | | | | | (12549) all_4_43 = all_4_46
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_44, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (224), (12544) gives:
% 258.58/65.59 | | | | | | | | | | | | (12550) all_4_44 = n5
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n6,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12544), (12545) gives:
% 258.58/65.59 | | | | | | | | | | | | (12551) all_4_44 = all_4_47
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12548), (12549) imply:
% 258.58/65.59 | | | | | | | | | | | | (12552) all_4_46 = n7
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12552) implies:
% 258.58/65.59 | | | | | | | | | | | | (12553) all_4_46 = n7
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12550), (12551) imply:
% 258.58/65.59 | | | | | | | | | | | | (12554) all_4_47 = n5
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (155), (12548), (12550) imply:
% 258.58/65.59 | | | | | | | | | | | | (12555) sum(n5, n7) = all_4_42
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (154), (12550), (12553) imply:
% 258.58/65.59 | | | | | | | | | | | | (12556) sum(n5, n7) = all_4_40
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (152), (12548), (12554) imply:
% 258.58/65.59 | | | | | | | | | | | | (12557) sum(n5, n7) = all_4_41
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (151), (12553), (12554) imply:
% 258.58/65.59 | | | | | | | | | | | | (12558) sum(n5, n7) = all_4_45
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_42, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (68), (12555) gives:
% 258.58/65.59 | | | | | | | | | | | | (12559) all_4_42 = n1
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12555), (12557) gives:
% 258.58/65.59 | | | | | | | | | | | | (12560) all_4_41 = all_4_42
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12556), (12557) gives:
% 258.58/65.59 | | | | | | | | | | | | (12561) all_4_40 = all_4_41
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12556), (12558) gives:
% 258.58/65.59 | | | | | | | | | | | | (12562) all_4_40 = all_4_45
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12561), (12562) imply:
% 258.58/65.59 | | | | | | | | | | | | (12563) all_4_41 = all_4_45
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12563) implies:
% 258.58/65.59 | | | | | | | | | | | | (12564) all_4_41 = all_4_45
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12560), (12564) imply:
% 258.58/65.59 | | | | | | | | | | | | (12565) all_4_42 = all_4_45
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | SIMP: (12565) implies:
% 258.58/65.59 | | | | | | | | | | | | (12566) all_4_42 = all_4_45
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12559), (12566) imply:
% 258.58/65.59 | | | | | | | | | | | | (12567) all_4_45 = n1
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12564), (12567) imply:
% 258.58/65.59 | | | | | | | | | | | | (12568) all_4_41 = n1
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12562), (12567) imply:
% 258.58/65.59 | | | | | | | | | | | | (12569) all_4_40 = n1
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (156), (12568), (12569) imply:
% 258.58/65.59 | | | | | | | | | | | | (12570) sum(n1, n1) = all_4_90
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (153), (12559), (12567) imply:
% 258.58/65.59 | | | | | | | | | | | | (12571) sum(n1, n1) = all_4_91
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_90, n1, n1,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (18), (12570) gives:
% 258.58/65.59 | | | | | | | | | | | | (12572) all_4_90 = n2
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n1, n1,
% 258.58/65.59 | | | | | | | | | | | | simplifying with (12570), (12571) gives:
% 258.58/65.59 | | | | | | | | | | | | (12573) all_4_90 = all_4_91
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | COMBINE_EQS: (12572), (12573) imply:
% 258.58/65.59 | | | | | | | | | | | | (12574) all_4_91 = n2
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (240), (12572) imply:
% 258.58/65.59 | | | | | | | | | | | | (12575) pred(n2) = all_4_36
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (239), (12574) imply:
% 258.58/65.59 | | | | | | | | | | | | (12576) pred(n2) = all_4_39
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (209), (12572) imply:
% 258.58/65.59 | | | | | | | | | | | | (12577) succ(n2) = all_4_38
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REDUCE: (208), (12574) imply:
% 258.58/65.59 | | | | | | | | | | | | (12578) succ(n2) = all_4_35
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 258.58/65.59 | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.58/65.59 | | | | | | | | | | | | (152), (153), (154), (155), (156), (157), (158),
% 258.58/65.59 | | | | | | | | | | | | (159), (160), (161), (162), (189), (193), (194),
% 258.58/65.59 | | | | | | | | | | | | (220), (224), (225), (12435), (12449), (12450),
% 258.58/65.59 | | | | | | | | | | | | (12478), (12480), (12509), (12511), (12512),
% 258.58/65.59 | | | | | | | | | | | | (12513), (12514), (12515), (12544), (12545),
% 258.58/65.59 | | | | | | | | | | | | (12546), (12547), (12575), (12576), (12577),
% 258.58/65.59 | | | | | | | | | | | | (12578) are inconsistent by sub-proof #68.
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | Case 2:
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | (12579) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 258.58/65.59 | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.58/65.59 | | | | | | | | | | | | all_4_100 = n0
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | BETA: splitting (12435) gives:
% 258.58/65.59 | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | Case 1:
% 258.58/65.59 | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | (12580) ~ (all_4_88 = all_4_89)
% 258.58/65.59 | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 258.58/65.59 | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | Case 1:
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | (12581) all_4_100 = n6
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (230), (12581) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12582) pred(n6) = all_4_76
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (199), (12581) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12583) succ(n6) = all_4_78
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (193), (12583) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12584) all_4_78 = n7
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (224), (12582) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12585) all_4_76 = n5
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (130), (12584), (12585) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12586) sum(n5, n7) = all_4_72
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (11814), (12585) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12587) sum(n5, n9) = all_4_74
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (11816), (12584) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12588) sum(n7, n7) = all_4_77
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (68), (12586) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12589) all_4_72 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n9, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (70), (12587) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12590) all_4_74 = n3
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n7, n7,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (90), (12588) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12591) all_4_77 = n3
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (129), (12590), (12591) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12592) sum(n3, n3) = all_4_99
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (11818), (12589) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12593) sum(n5, n1) = all_4_98
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (42), (12592) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12594) all_4_99 = n6
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n1, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (62), (12593) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12595) all_4_98 = n6
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (232), (12595) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12596) pred(n6) = all_4_68
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (231), (12594) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12597) pred(n6) = all_4_71
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (201), (12595) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12598) succ(n6) = all_4_70
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (200), (12594) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12599) succ(n6) = all_4_67
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (193), (12599) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12600) all_4_67 = n7
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12598), (12599) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12601) all_4_67 = all_4_70
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (224), (12596) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12602) all_4_68 = n5
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12596), (12597) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12603) all_4_68 = all_4_71
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12600), (12601) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12604) all_4_70 = n7
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12602), (12603) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12605) all_4_71 = n5
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (137), (12600), (12602) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12606) sum(n5, n7) = all_4_66
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (136), (12602), (12604) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12607) sum(n5, n7) = all_4_64
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (134), (12600), (12605) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12608) sum(n5, n7) = all_4_65
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (133), (12604), (12605) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12609) sum(n5, n7) = all_4_69
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (68), (12608) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12610) all_4_65 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12606), (12608) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12611) all_4_65 = all_4_66
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12606), (12607) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12612) all_4_64 = all_4_66
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12607), (12609) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12613) all_4_64 = all_4_69
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12612), (12613) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12614) all_4_66 = all_4_69
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | SIMP: (12614) implies:
% 258.58/65.59 | | | | | | | | | | | | | | (12615) all_4_66 = all_4_69
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12610), (12611) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12616) all_4_66 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | SIMP: (12616) implies:
% 258.58/65.59 | | | | | | | | | | | | | | (12617) all_4_66 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12615), (12617) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12618) all_4_69 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12613), (12618) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12619) all_4_64 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (138), (12610), (12619) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12620) sum(n1, n1) = all_4_96
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (135), (12617), (12618) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12621) sum(n1, n1) = all_4_97
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (18), (12620) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12622) all_4_96 = n2
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12620), (12621) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12623) all_4_96 = all_4_97
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12622), (12623) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12624) all_4_97 = n2
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | SIMP: (12624) implies:
% 258.58/65.59 | | | | | | | | | | | | | | (12625) all_4_97 = n2
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (234), (12622) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12626) pred(n2) = all_4_60
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (233), (12625) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12627) pred(n2) = all_4_63
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (203), (12622) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12628) succ(n2) = all_4_62
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | REDUCE: (202), (12625) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12629) succ(n2) = all_4_59
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (189), (12629) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12630) all_4_59 = n3
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12628), (12629) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12631) all_4_59 = all_4_62
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (220), (12626) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12632) all_4_60 = n1
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 258.58/65.59 | | | | | | | | | | | | | | simplifying with (12626), (12627) gives:
% 258.58/65.59 | | | | | | | | | | | | | | (12633) all_4_60 = all_4_63
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12630), (12631) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12634) all_4_62 = n3
% 258.58/65.59 | | | | | | | | | | | | | |
% 258.58/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12632), (12633) imply:
% 258.58/65.59 | | | | | | | | | | | | | | (12635) all_4_63 = n1
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (143), (12630), (12632) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12636) sum(n1, n3) = all_4_58
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (142), (12632), (12634) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12637) sum(n1, n3) = all_4_56
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (140), (12630), (12635) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12638) sum(n1, n3) = all_4_57
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (139), (12634), (12635) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12639) sum(n1, n3) = all_4_61
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_57, n3, n1,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (20), (12638) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12640) all_4_57 = n4
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12636), (12638) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12641) all_4_57 = all_4_58
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12637), (12638) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12642) all_4_56 = all_4_57
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12637), (12639) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12643) all_4_56 = all_4_61
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12642), (12643) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12644) all_4_57 = all_4_61
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | SIMP: (12644) implies:
% 258.82/65.59 | | | | | | | | | | | | | | (12645) all_4_57 = all_4_61
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12640), (12641) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12646) all_4_58 = n4
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12641), (12645) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12647) all_4_58 = all_4_61
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12646), (12647) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12648) all_4_61 = n4
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12643), (12648) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12649) all_4_56 = n4
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (144), (12640), (12649) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12650) sum(n4, n4) = all_4_94
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (141), (12646), (12648) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12651) sum(n4, n4) = all_4_95
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (54), (12650) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12652) all_4_94 = n8
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12650), (12651) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12653) all_4_94 = all_4_95
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12652), (12653) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12654) all_4_95 = n8
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (236), (12652) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12655) pred(n8) = all_4_52
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (235), (12654) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12656) pred(n8) = all_4_55
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (205), (12652) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12657) succ(n8) = all_4_54
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (204), (12654) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12658) succ(n8) = all_4_51
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (195), (12658) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12659) all_4_51 = n9
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n8,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12657), (12658) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12660) all_4_51 = all_4_54
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_52, n8,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (226), (12655) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12661) all_4_52 = n7
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n8,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12655), (12656) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12662) all_4_52 = all_4_55
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12659), (12660) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12663) all_4_54 = n9
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12661), (12662) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12664) all_4_55 = n7
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | SIMP: (12664) implies:
% 258.82/65.59 | | | | | | | | | | | | | | (12665) all_4_55 = n7
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (149), (12659), (12661) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12666) sum(n7, n9) = all_4_50
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (148), (12661), (12663) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12667) sum(n7, n9) = all_4_48
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (146), (12659), (12665) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12668) sum(n7, n9) = all_4_49
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (145), (12663), (12665) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12669) sum(n7, n9) = all_4_53
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_49, n9, n7,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (92), (12668) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12670) all_4_49 = n5
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n9, n7,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12666), (12668) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12671) all_4_49 = all_4_50
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n9, n7,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12667), (12668) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12672) all_4_48 = all_4_49
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n9, n7,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12667), (12669) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12673) all_4_48 = all_4_53
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12672), (12673) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12674) all_4_49 = all_4_53
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | SIMP: (12674) implies:
% 258.82/65.59 | | | | | | | | | | | | | | (12675) all_4_49 = all_4_53
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12670), (12671) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12676) all_4_50 = n5
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12671), (12675) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12677) all_4_50 = all_4_53
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12676), (12677) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12678) all_4_53 = n5
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12673), (12678) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12679) all_4_48 = n5
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (150), (12670), (12679) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12680) sum(n5, n5) = all_4_92
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (147), (12676), (12678) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12681) sum(n5, n5) = all_4_93
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_92, n5, n5,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (66), (12680) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12682) all_4_92 = n10
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n5, n5,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12680), (12681) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12683) all_4_92 = all_4_93
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12682), (12683) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12684) all_4_93 = n10
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | SIMP: (12684) implies:
% 258.82/65.59 | | | | | | | | | | | | | | (12685) all_4_93 = n10
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (238), (12682) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12686) pred(n10) = all_4_44
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (237), (12685) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12687) pred(n10) = all_4_47
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (207), (12682) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12688) succ(n10) = all_4_46
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (206), (12685) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12689) succ(n10) = all_4_43
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_43, n10,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (197), (12689) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12690) all_4_43 = n0
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n10,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12688), (12689) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12691) all_4_43 = all_4_46
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_44, n10,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (228), (12686) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12692) all_4_44 = n9
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n10,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12686), (12687) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12693) all_4_44 = all_4_47
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12690), (12691) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12694) all_4_46 = n0
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | COMBINE_EQS: (12692), (12693) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12695) all_4_47 = n9
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (155), (12690), (12692) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12696) sum(n9, n0) = all_4_42
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (154), (12692), (12694) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12697) sum(n9, n0) = all_4_40
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (152), (12690), (12695) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12698) sum(n9, n0) = all_4_41
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | REDUCE: (151), (12694), (12695) imply:
% 258.82/65.59 | | | | | | | | | | | | | | (12699) sum(n9, n0) = all_4_45
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_41, n0, n9,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (105), (12698) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12700) all_4_41 = n9
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n0, n9,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12696), (12698) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12701) all_4_41 = all_4_42
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n0, n9,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12697), (12698) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12702) all_4_40 = all_4_41
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n0, n9,
% 258.82/65.59 | | | | | | | | | | | | | | simplifying with (12697), (12699) gives:
% 258.82/65.59 | | | | | | | | | | | | | | (12703) all_4_40 = all_4_45
% 258.82/65.59 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | COMBINE_EQS: (12702), (12703) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12704) all_4_41 = all_4_45
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | SIMP: (12704) implies:
% 258.82/65.60 | | | | | | | | | | | | | | (12705) all_4_41 = all_4_45
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | COMBINE_EQS: (12700), (12701) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12706) all_4_42 = n9
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | COMBINE_EQS: (12701), (12705) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12707) all_4_42 = all_4_45
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | COMBINE_EQS: (12706), (12707) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12708) all_4_45 = n9
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | SIMP: (12708) implies:
% 258.82/65.60 | | | | | | | | | | | | | | (12709) all_4_45 = n9
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | COMBINE_EQS: (12703), (12709) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12710) all_4_40 = n9
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REDUCE: (156), (12700), (12710) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12711) sum(n9, n9) = all_4_90
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REDUCE: (153), (12706), (12709) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12712) sum(n9, n9) = all_4_91
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_90, n9, n9,
% 258.82/65.60 | | | | | | | | | | | | | | simplifying with (114), (12711) gives:
% 258.82/65.60 | | | | | | | | | | | | | | (12713) all_4_90 = n7
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n9, n9,
% 258.82/65.60 | | | | | | | | | | | | | | simplifying with (12711), (12712) gives:
% 258.82/65.60 | | | | | | | | | | | | | | (12714) all_4_90 = all_4_91
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | COMBINE_EQS: (12713), (12714) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12715) all_4_91 = n7
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | SIMP: (12715) implies:
% 258.82/65.60 | | | | | | | | | | | | | | (12716) all_4_91 = n7
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REDUCE: (240), (12713) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12717) pred(n7) = all_4_36
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REDUCE: (239), (12716) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12718) pred(n7) = all_4_39
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REDUCE: (209), (12713) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12719) succ(n7) = all_4_38
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REDUCE: (208), (12716) imply:
% 258.82/65.60 | | | | | | | | | | | | | | (12720) succ(n7) = all_4_35
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_35, n7,
% 258.82/65.60 | | | | | | | | | | | | | | simplifying with (194), (12720) gives:
% 258.82/65.60 | | | | | | | | | | | | | | (12721) all_4_35 = n8
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (157), (158), (159),
% 258.82/65.60 | | | | | | | | | | | | | | (160), (161), (162), (225), (12580), (12717),
% 258.82/65.60 | | | | | | | | | | | | | | (12718), (12719), (12720), (12721) are
% 258.82/65.60 | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | Case 2:
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | (12722) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 258.82/65.60 | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | BETA: splitting (12722) gives:
% 258.82/65.60 | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | Case 1:
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | (12723) all_4_100 = n5
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (230), (12723) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12724) pred(n5) = all_4_76
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (199), (12723) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12725) succ(n5) = all_4_78
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (192), (12725) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12726) all_4_78 = n6
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (223), (12724) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12727) all_4_76 = n4
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (130), (12726), (12727) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12728) sum(n4, n6) = all_4_72
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (11814), (12727) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12729) sum(n4, n9) = all_4_74
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (11816), (12726) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12730) sum(n7, n6) = all_4_77
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (56), (12728) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12731) all_4_72 = n10
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (59), (12729) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12732) all_4_74 = n2
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (89), (12730) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12733) all_4_77 = n2
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (129), (12732), (12733) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12734) sum(n2, n2) = all_4_99
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REDUCE: (11818), (12731) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | (12735) sum(n5, n10) = all_4_98
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (30), (12734) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12736) all_4_99 = n4
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | simplifying with (71), (12735) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | (12737) all_4_98 = n4
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.82/65.60 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.82/65.60 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.60 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.60 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.60 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 258.82/65.60 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 258.82/65.60 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 258.82/65.60 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 258.82/65.60 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.82/65.60 | | | | | | | | | | | | | | | (12580), (12734), (12736), (12737) are
% 258.82/65.60 | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | Case 2:
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | (12738) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.82/65.60 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | BETA: splitting (12738) gives:
% 258.82/65.60 | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | Case 1:
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | (12739) all_4_100 = n4
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (230), (12739) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12740) pred(n4) = all_4_76
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (199), (12739) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12741) succ(n4) = all_4_78
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (191), (12741) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12742) all_4_78 = n5
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (222), (12740) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12743) all_4_76 = n3
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (130), (12742), (12743) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12744) sum(n3, n5) = all_4_72
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (11814), (12743) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12745) sum(n3, n9) = all_4_74
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (11816), (12742) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12746) sum(n7, n5) = all_4_77
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (44), (12744) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12747) all_4_72 = n8
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (48), (12745) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12748) all_4_74 = n1
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (88), (12746) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12749) all_4_77 = n1
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (129), (12748), (12749) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12750) sum(n1, n1) = all_4_99
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REDUCE: (11818), (12747) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12751) sum(n5, n8) = all_4_98
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (18), (12750) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12752) all_4_99 = n2
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | | simplifying with (69), (12751) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | (12753) all_4_98 = n2
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.82/65.60 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.60 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.60 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.60 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.60 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 258.82/65.60 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 258.82/65.60 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 258.82/65.60 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 258.82/65.60 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.82/65.60 | | | | | | | | | | | | | | | | (12580), (12750), (12752), (12753) are
% 258.82/65.60 | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | Case 2:
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | (12754) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.82/65.60 | | | | | | | | | | | | | | | | all_4_100 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | BETA: splitting (12754) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12755) all_4_100 = n3
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (230), (12755) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12756) pred(n3) = all_4_76
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (199), (12755) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12757) succ(n3) = all_4_78
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (190), (12757) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12758) all_4_78 = n4
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (221), (12756) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12759) all_4_76 = n2
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (130), (12758), (12759) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12760) sum(n2, n4) = all_4_72
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (11814), (12759) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12761) sum(n2, n9) = all_4_74
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (11816), (12758) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12762) sum(n7, n4) = all_4_77
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (32), (12760) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12763) all_4_72 = n6
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (37), (12761) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12764) all_4_74 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (87), (12762) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12765) all_4_77 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (129), (12764), (12765) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12766) sum(n0, n0) = all_4_99
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REDUCE: (11818), (12763) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12767) sum(n5, n6) = all_4_98
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (6), (12766) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12768) all_4_99 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | | | simplifying with (67), (12767) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12769) all_4_98 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (12580),
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12766), (12768), (12769) are inconsistent by
% 258.82/65.60 | | | | | | | | | | | | | | | | | sub-proof #131.
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | (12770) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | BETA: splitting (12770) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12771) all_4_100 = n2
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (230), (12771) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12772) pred(n2) = all_4_76
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (199), (12771) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12773) succ(n2) = all_4_78
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (189), (12773) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12774) all_4_78 = n3
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (220), (12772) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12775) all_4_76 = n1
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (130), (12774), (12775) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12776) sum(n1, n3) = all_4_72
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (11814), (12775) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12777) sum(n1, n9) = all_4_74
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (12774) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12778) sum(n7, n3) = all_4_77
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (20), (12776) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12779) all_4_72 = n4
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (26), (12777) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12780) all_4_74 = n10
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (86), (12778) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12781) all_4_77 = n10
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (129), (12780), (12781) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12782) sum(n10, n10) = all_4_99
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (12779) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12783) sum(n5, n4) = all_4_98
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (65), (12783) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12784) all_4_98 = n9
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | simplifying with (126), (12782) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12785) all_4_99 = n9
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12580), (12782), (12784), (12785) are
% 258.82/65.60 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | (12786) all_4_100 = n1 | all_4_100 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | BETA: splitting (12786) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12787) all_4_100 = n1
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (12787) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12788) pred(n1) = all_4_76
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (12787) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12789) succ(n1) = all_4_78
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (188), (12789) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12790) all_4_78 = n2
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (219), (12788) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12791) all_4_76 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (12790), (12791) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12792) sum(n0, n2) = all_4_72
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (12791) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12793) sum(n0, n9) = all_4_74
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (12790) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12794) sum(n7, n2) = all_4_77
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (8), (12792) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12795) all_4_72 = n2
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n9, n0,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (15), (12793) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12796) all_4_74 = n9
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n2, n7,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (85), (12794) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12797) all_4_77 = n9
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (12796), (12797) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12798) sum(n9, n9) = all_4_99
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (12795) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12799) sum(n5, n2) = all_4_98
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n2, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (63), (12799) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12800) all_4_98 = n7
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (114), (12798) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12801) all_4_99 = n7
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12435), (12798), (12800), (12801) are
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12802) all_4_100 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (12802) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12803) pred(n0) = all_4_76
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (12802) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12804) succ(n0) = all_4_78
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (187), (12804) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12805) all_4_78 = n1
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (218), (12803) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12806) all_4_76 = n10
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (12805), (12806) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12807) sum(n10, n1) = all_4_72
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (12806) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12808) sum(n10, n9) = all_4_74
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (12805) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12809) sum(n7, n1) = all_4_77
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n1, n7,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (84), (12809) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12810) all_4_77 = n8
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (117), (12807) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12811) all_4_72 = n0
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n9, n10,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (125), (12808) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12812) all_4_74 = n8
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (12810), (12812) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12813) sum(n8, n8) = all_4_99
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (12811) imply:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12814) sum(n5, n0) = all_4_98
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n0, n5,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (61), (12814) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12815) all_4_98 = n5
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | simplifying with (102), (12813) gives:
% 258.82/65.60 | | | | | | | | | | | | | | | | | | | (12816) all_4_99 = n5
% 258.82/65.60 | | | | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | (12435), (12813), (12815), (12816) are
% 258.82/65.61 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 258.82/65.61 | | | | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | | | End of split
% 258.82/65.61 | | | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | | End of split
% 258.82/65.61 | | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | End of split
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | End of split
% 258.82/65.61 | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | End of split
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | End of split
% 258.82/65.61 | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | Case 2:
% 258.82/65.61 | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | (12817) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 258.82/65.61 | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 258.82/65.61 | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 258.82/65.61 | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 258.82/65.61 | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | Case 1:
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | (12818) all_4_100 = n6
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (230), (12818) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12819) pred(n6) = all_4_76
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (199), (12818) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12820) succ(n6) = all_4_78
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (193), (12820) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12821) all_4_78 = n7
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (224), (12819) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12822) all_4_76 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (130), (12821), (12822) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12823) sum(n5, n7) = all_4_72
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (11814), (12822) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12824) sum(n5, n9) = all_4_74
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (11816), (12821) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12825) sum(n7, n7) = all_4_77
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (68), (12823) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12826) all_4_72 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n9, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (70), (12824) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12827) all_4_74 = n3
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n7, n7,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (90), (12825) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12828) all_4_77 = n3
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (129), (12827), (12828) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12829) sum(n3, n3) = all_4_99
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (11818), (12826) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12830) sum(n5, n1) = all_4_98
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (42), (12829) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12831) all_4_99 = n6
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n1, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (62), (12830) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12832) all_4_98 = n6
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (232), (12832) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12833) pred(n6) = all_4_68
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (231), (12831) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12834) pred(n6) = all_4_71
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (201), (12832) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12835) succ(n6) = all_4_70
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (200), (12831) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12836) succ(n6) = all_4_67
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (193), (12836) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12837) all_4_67 = n7
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12835), (12836) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12838) all_4_67 = all_4_70
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (224), (12833) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12839) all_4_68 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12833), (12834) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12840) all_4_68 = all_4_71
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12837), (12838) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12841) all_4_70 = n7
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12841) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12842) all_4_70 = n7
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12839), (12840) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12843) all_4_71 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (137), (12837), (12839) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12844) sum(n5, n7) = all_4_66
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (136), (12839), (12842) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12845) sum(n5, n7) = all_4_64
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (134), (12837), (12843) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12846) sum(n5, n7) = all_4_65
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (133), (12842), (12843) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12847) sum(n5, n7) = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (68), (12846) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12848) all_4_65 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12844), (12846) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12849) all_4_65 = all_4_66
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12844), (12845) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12850) all_4_64 = all_4_66
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12845), (12847) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12851) all_4_64 = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12850), (12851) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12852) all_4_66 = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12852) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12853) all_4_66 = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12848), (12849) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12854) all_4_66 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12854) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12855) all_4_66 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12853), (12855) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12856) all_4_69 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12851), (12856) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12857) all_4_64 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (138), (12848), (12857) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12858) sum(n1, n1) = all_4_96
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (135), (12855), (12856) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12859) sum(n1, n1) = all_4_97
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (18), (12858) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12860) all_4_96 = n2
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12858), (12859) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12861) all_4_96 = all_4_97
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12860), (12861) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12862) all_4_97 = n2
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (234), (12860) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12863) pred(n2) = all_4_60
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (233), (12862) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12864) pred(n2) = all_4_63
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (203), (12860) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12865) succ(n2) = all_4_62
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (202), (12862) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12866) succ(n2) = all_4_59
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (189), (12866) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12867) all_4_59 = n3
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12865), (12866) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12868) all_4_59 = all_4_62
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (220), (12863) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12869) all_4_60 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12863), (12864) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12870) all_4_60 = all_4_63
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12867), (12868) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12871) all_4_62 = n3
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12871) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12872) all_4_62 = n3
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12869), (12870) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12873) all_4_63 = n1
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (143), (12867), (12869) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12874) sum(n1, n3) = all_4_58
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (142), (12869), (12872) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12875) sum(n1, n3) = all_4_56
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (140), (12867), (12873) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12876) sum(n1, n3) = all_4_57
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (139), (12872), (12873) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12877) sum(n1, n3) = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_58, n3, n1,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (20), (12874) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12878) all_4_58 = n4
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12874), (12876) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12879) all_4_57 = all_4_58
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12875), (12876) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12880) all_4_56 = all_4_57
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12875), (12877) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12881) all_4_56 = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12880), (12881) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12882) all_4_57 = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12882) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12883) all_4_57 = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12879), (12883) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12884) all_4_58 = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12884) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12885) all_4_58 = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12878), (12885) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12886) all_4_61 = n4
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12883), (12886) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12887) all_4_57 = n4
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12881), (12886) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12888) all_4_56 = n4
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (144), (12887), (12888) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12889) sum(n4, n4) = all_4_94
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (141), (12878), (12886) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12890) sum(n4, n4) = all_4_95
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (54), (12889) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12891) all_4_94 = n8
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12889), (12890) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12892) all_4_94 = all_4_95
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12891), (12892) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12893) all_4_95 = n8
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (236), (12891) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12894) pred(n8) = all_4_52
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (235), (12893) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12895) pred(n8) = all_4_55
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (205), (12891) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12896) succ(n8) = all_4_54
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (204), (12893) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12897) succ(n8) = all_4_51
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (195), (12897) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12898) all_4_51 = n9
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n8,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12896), (12897) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12899) all_4_51 = all_4_54
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_52, n8,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (226), (12894) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12900) all_4_52 = n7
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n8,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12894), (12895) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12901) all_4_52 = all_4_55
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12898), (12899) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12902) all_4_54 = n9
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12902) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12903) all_4_54 = n9
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12900), (12901) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12904) all_4_55 = n7
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (149), (12898), (12900) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12905) sum(n7, n9) = all_4_50
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (148), (12900), (12903) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12906) sum(n7, n9) = all_4_48
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (146), (12898), (12904) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12907) sum(n7, n9) = all_4_49
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (145), (12903), (12904) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12908) sum(n7, n9) = all_4_53
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_50, n9, n7,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (92), (12905) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12909) all_4_50 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n9, n7,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12905), (12907) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12910) all_4_49 = all_4_50
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n9, n7,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12906), (12907) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12911) all_4_48 = all_4_49
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n9, n7,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12906), (12908) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12912) all_4_48 = all_4_53
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12911), (12912) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12913) all_4_49 = all_4_53
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12913) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12914) all_4_49 = all_4_53
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12910), (12914) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12915) all_4_50 = all_4_53
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12915) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12916) all_4_50 = all_4_53
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12909), (12916) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12917) all_4_53 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12914), (12917) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12918) all_4_49 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12912), (12917) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12919) all_4_48 = n5
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (150), (12918), (12919) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12920) sum(n5, n5) = all_4_92
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (147), (12909), (12917) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12921) sum(n5, n5) = all_4_93
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_92, n5, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (66), (12920) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12922) all_4_92 = n10
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n5, n5,
% 258.82/65.61 | | | | | | | | | | | | | | simplifying with (12920), (12921) gives:
% 258.82/65.61 | | | | | | | | | | | | | | (12923) all_4_92 = all_4_93
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | COMBINE_EQS: (12922), (12923) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12924) all_4_93 = n10
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | SIMP: (12924) implies:
% 258.82/65.61 | | | | | | | | | | | | | | (12925) all_4_93 = n10
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (238), (12922) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12926) pred(n10) = all_4_44
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (237), (12925) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12927) pred(n10) = all_4_47
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (207), (12922) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12928) succ(n10) = all_4_46
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REDUCE: (206), (12925) imply:
% 258.82/65.61 | | | | | | | | | | | | | | (12929) succ(n10) = all_4_43
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 258.82/65.61 | | | | | | | | | | | | | | (114), (139), (140), (141), (142), (143), (144),
% 258.82/65.61 | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.82/65.61 | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (195),
% 258.82/65.61 | | | | | | | | | | | | | | (197), (220), (226), (228), (12817), (12831),
% 258.82/65.61 | | | | | | | | | | | | | | (12832), (12860), (12862), (12863), (12864),
% 258.82/65.61 | | | | | | | | | | | | | | (12865), (12866), (12894), (12895), (12896),
% 258.82/65.61 | | | | | | | | | | | | | | (12897), (12926), (12927), (12928), (12929) are
% 258.82/65.61 | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | Case 2:
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | (12930) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 258.82/65.61 | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | BETA: splitting (12817) gives:
% 258.82/65.61 | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | Case 1:
% 258.82/65.61 | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | (12931) ~ (all_4_90 = all_4_91)
% 258.82/65.61 | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | BETA: splitting (12930) gives:
% 258.82/65.61 | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | Case 1:
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | (12932) all_4_100 = n5
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (230), (12932) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12933) pred(n5) = all_4_76
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (199), (12932) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12934) succ(n5) = all_4_78
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (192), (12934) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12935) all_4_78 = n6
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (223), (12933) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12936) all_4_76 = n4
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (130), (12935), (12936) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12937) sum(n4, n6) = all_4_72
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (11814), (12936) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12938) sum(n4, n9) = all_4_74
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (11816), (12935) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12939) sum(n7, n6) = all_4_77
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (56), (12937) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12940) all_4_72 = n10
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (59), (12938) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12941) all_4_74 = n2
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (89), (12939) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12942) all_4_77 = n2
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (129), (12941), (12942) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12943) sum(n2, n2) = all_4_99
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (11818), (12940) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12944) sum(n5, n10) = all_4_98
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (30), (12943) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12945) all_4_99 = n4
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (71), (12944) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12946) all_4_98 = n4
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (232), (12946) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12947) pred(n4) = all_4_68
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (231), (12945) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12948) pred(n4) = all_4_71
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (201), (12946) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12949) succ(n4) = all_4_70
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (200), (12945) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12950) succ(n4) = all_4_67
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (191), (12950) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12951) all_4_67 = n5
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12949), (12950) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12952) all_4_67 = all_4_70
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (222), (12947) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12953) all_4_68 = n3
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12947), (12948) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12954) all_4_68 = all_4_71
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12951), (12952) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12955) all_4_70 = n5
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12953), (12954) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12956) all_4_71 = n3
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (137), (12951), (12953) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12957) sum(n3, n5) = all_4_66
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (136), (12953), (12955) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12958) sum(n3, n5) = all_4_64
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (134), (12951), (12956) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12959) sum(n3, n5) = all_4_65
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (133), (12955), (12956) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12960) sum(n3, n5) = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (44), (12959) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12961) all_4_65 = n8
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12957), (12959) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12962) all_4_65 = all_4_66
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12957), (12958) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12963) all_4_64 = all_4_66
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12958), (12960) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12964) all_4_64 = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12963), (12964) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12965) all_4_66 = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | SIMP: (12965) implies:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12966) all_4_66 = all_4_69
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12961), (12962) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12967) all_4_66 = n8
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | SIMP: (12967) implies:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12968) all_4_66 = n8
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12966), (12968) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12969) all_4_69 = n8
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12964), (12969) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12970) all_4_64 = n8
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (138), (12961), (12970) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12971) sum(n8, n8) = all_4_96
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (135), (12968), (12969) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12972) sum(n8, n8) = all_4_97
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (102), (12971) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12973) all_4_96 = n5
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12971), (12972) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12974) all_4_96 = all_4_97
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12973), (12974) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12975) all_4_97 = n5
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | SIMP: (12975) implies:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12976) all_4_97 = n5
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (234), (12973) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12977) pred(n5) = all_4_60
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (233), (12976) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12978) pred(n5) = all_4_63
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (203), (12973) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12979) succ(n5) = all_4_62
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (202), (12976) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12980) succ(n5) = all_4_59
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (192), (12980) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12981) all_4_59 = n6
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12979), (12980) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12982) all_4_59 = all_4_62
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_60, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (223), (12977) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12983) all_4_60 = n4
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n5,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12977), (12978) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12984) all_4_60 = all_4_63
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12981), (12982) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12985) all_4_62 = n6
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (12983), (12984) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12986) all_4_63 = n4
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (143), (12981), (12983) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12987) sum(n4, n6) = all_4_58
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (142), (12983), (12985) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12988) sum(n4, n6) = all_4_56
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (140), (12981), (12986) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12989) sum(n4, n6) = all_4_57
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | REDUCE: (139), (12985), (12986) imply:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12990) sum(n4, n6) = all_4_61
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_57, n6, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (56), (12989) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12991) all_4_57 = n10
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n6, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12987), (12989) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12992) all_4_57 = all_4_58
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n6, n4,
% 258.82/65.61 | | | | | | | | | | | | | | | | simplifying with (12988), (12989) gives:
% 258.82/65.61 | | | | | | | | | | | | | | | | (12993) all_4_56 = all_4_57
% 258.82/65.61 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n6, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (12988), (12990) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (12994) all_4_56 = all_4_61
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (12993), (12994) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (12995) all_4_57 = all_4_61
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (12995) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (12996) all_4_57 = all_4_61
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (12991), (12992) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (12997) all_4_58 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (12992), (12996) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (12998) all_4_58 = all_4_61
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (12997), (12998) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (12999) all_4_61 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (12994), (12999) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13000) all_4_56 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (144), (12991), (13000) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13001) sum(n10, n10) = all_4_94
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (141), (12997), (12999) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13002) sum(n10, n10) = all_4_95
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_94, n10, n10,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (126), (13001) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13003) all_4_94 = n9
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n10,
% 258.82/65.62 | | | | | | | | | | | | | | | | n10, simplifying with (13001), (13002) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13004) all_4_94 = all_4_95
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13003), (13004) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13005) all_4_95 = n9
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (236), (13003) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13006) pred(n9) = all_4_52
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (235), (13005) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13007) pred(n9) = all_4_55
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (205), (13003) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13008) succ(n9) = all_4_54
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (204), (13005) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13009) succ(n9) = all_4_51
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_51, n9,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (196), (13009) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13010) all_4_51 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n9,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13008), (13009) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13011) all_4_51 = all_4_54
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_52, n9,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (227), (13006) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13012) all_4_52 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n9,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13006), (13007) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13013) all_4_52 = all_4_55
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13010), (13011) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13014) all_4_54 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13012), (13013) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13015) all_4_55 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (13015) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13016) all_4_55 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (149), (13010), (13012) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13017) sum(n8, n10) = all_4_50
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (148), (13012), (13014) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13018) sum(n8, n10) = all_4_48
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (146), (13010), (13016) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13019) sum(n8, n10) = all_4_49
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (145), (13014), (13016) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13020) sum(n8, n10) = all_4_53
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_49, n10, n8,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (104), (13019) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13021) all_4_49 = n7
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n10,
% 258.82/65.62 | | | | | | | | | | | | | | | | n8, simplifying with (13017), (13019) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13022) all_4_49 = all_4_50
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n10,
% 258.82/65.62 | | | | | | | | | | | | | | | | n8, simplifying with (13018), (13019) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13023) all_4_48 = all_4_49
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n10,
% 258.82/65.62 | | | | | | | | | | | | | | | | n8, simplifying with (13018), (13020) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13024) all_4_48 = all_4_53
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13023), (13024) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13025) all_4_49 = all_4_53
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (13025) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13026) all_4_49 = all_4_53
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13021), (13022) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13027) all_4_50 = n7
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13022), (13026) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13028) all_4_50 = all_4_53
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13027), (13028) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13029) all_4_53 = n7
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 258.82/65.62 | | | | | | | | | | | | | | | | (102), (126), (133), (134), (135), (136), (137),
% 258.82/65.62 | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 258.82/65.62 | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.82/65.62 | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (190), (191),
% 258.82/65.62 | | | | | | | | | | | | | | | | (192), (196), (206), (207), (221), (222), (223),
% 258.82/65.62 | | | | | | | | | | | | | | | | (227), (237), (238), (12817), (12945), (12946),
% 258.82/65.62 | | | | | | | | | | | | | | | | (12947), (12948), (12949), (12950), (12977),
% 258.82/65.62 | | | | | | | | | | | | | | | | (12978), (12979), (12980), (13006), (13007),
% 258.82/65.62 | | | | | | | | | | | | | | | | (13008), (13009), (13020), (13021), (13024),
% 258.82/65.62 | | | | | | | | | | | | | | | | (13027), (13029) are inconsistent by sub-proof
% 258.82/65.62 | | | | | | | | | | | | | | | | #61.
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | Case 2:
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | (13030) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.82/65.62 | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | BETA: splitting (13030) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13031) all_4_100 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (230), (13031) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13032) pred(n4) = all_4_76
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (199), (13031) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13033) succ(n4) = all_4_78
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (191), (13033) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13034) all_4_78 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (222), (13032) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13035) all_4_76 = n3
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (130), (13034), (13035) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13036) sum(n3, n5) = all_4_72
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (11814), (13035) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13037) sum(n3, n9) = all_4_74
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (11816), (13034) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13038) sum(n7, n5) = all_4_77
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (44), (13036) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13039) all_4_72 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (48), (13037) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13040) all_4_74 = n1
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (88), (13038) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13041) all_4_77 = n1
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (129), (13040), (13041) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13042) sum(n1, n1) = all_4_99
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REDUCE: (11818), (13039) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13043) sum(n5, n8) = all_4_98
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (18), (13042) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13044) all_4_99 = n2
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | | simplifying with (69), (13043) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13045) all_4_98 = n2
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.82/65.62 | | | | | | | | | | | | | | | | | (238), (12931), (13044), (13045) are inconsistent
% 258.82/65.62 | | | | | | | | | | | | | | | | | by sub-proof #60.
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | (13046) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.82/65.62 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | BETA: splitting (13046) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13047) all_4_100 = n3
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (230), (13047) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13048) pred(n3) = all_4_76
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (199), (13047) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13049) succ(n3) = all_4_78
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (190), (13049) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13050) all_4_78 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (221), (13048) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13051) all_4_76 = n2
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (130), (13050), (13051) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13052) sum(n2, n4) = all_4_72
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13051) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13053) sum(n2, n9) = all_4_74
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13050) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13054) sum(n7, n4) = all_4_77
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (32), (13052) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13055) all_4_72 = n6
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (37), (13053) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13056) all_4_74 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (87), (13054) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13057) all_4_77 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13056), (13057) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13058) sum(n0, n0) = all_4_99
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13055) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13059) sum(n5, n6) = all_4_98
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (6), (13058) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13060) all_4_99 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | simplifying with (67), (13059) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13061) all_4_98 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (236), (237), (238), (12931), (13058), (13060),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13061) are inconsistent by sub-proof #59.
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | (13062) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | BETA: splitting (13062) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13063) all_4_100 = n2
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13063) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13064) pred(n2) = all_4_76
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13063) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13065) succ(n2) = all_4_78
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (189), (13065) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13066) all_4_78 = n3
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (220), (13064) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13067) all_4_76 = n1
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13066), (13067) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13068) sum(n1, n3) = all_4_72
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13067) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13069) sum(n1, n9) = all_4_74
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13066) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13070) sum(n7, n3) = all_4_77
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (20), (13068) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13071) all_4_72 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (26), (13069) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13072) all_4_74 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (86), (13070) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13073) all_4_77 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13072), (13073) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13074) sum(n10, n10) = all_4_99
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13071) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13075) sum(n5, n4) = all_4_98
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (65), (13075) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13076) all_4_98 = n9
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | simplifying with (126), (13074) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13077) all_4_99 = n9
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (238), (12931), (13076), (13077) are inconsistent
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13078) all_4_100 = n1 | all_4_100 = n0
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (15), (18), (20), (30), (32),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (42), (54), (56), (61), (63), (66), (68), (78),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (80), (84), (85), (90), (92), (102), (104), (114),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (117), (125), (126), (129), (130), (133), (134),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (149), (150), (151), (152), (153), (154), (155),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (156), (187), (188), (189), (190), (192), (193),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (194), (195), (196), (199), (200), (201), (202),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (218), (219),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (226), (227),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (237), (238), (11814), (11816), (11818), (12817),
% 258.82/65.62 | | | | | | | | | | | | | | | | | | | (13078) are inconsistent by sub-proof #57.
% 258.82/65.62 | | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | | End of split
% 258.82/65.62 | | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | | End of split
% 258.82/65.62 | | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | End of split
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | End of split
% 258.82/65.62 | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | Case 2:
% 258.82/65.62 | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | (13079) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 258.82/65.62 | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 258.82/65.62 | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 258.82/65.62 | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | BETA: splitting (12930) gives:
% 258.82/65.62 | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | Case 1:
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | (13080) all_4_100 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (230), (13080) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13081) pred(n5) = all_4_76
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (199), (13080) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13082) succ(n5) = all_4_78
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (192), (13082) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13083) all_4_78 = n6
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (223), (13081) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13084) all_4_76 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (130), (13083), (13084) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13085) sum(n4, n6) = all_4_72
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (11814), (13084) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13086) sum(n4, n9) = all_4_74
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (11816), (13083) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13087) sum(n7, n6) = all_4_77
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (56), (13085) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13088) all_4_72 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n9, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (59), (13086) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13089) all_4_74 = n2
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n6, n7,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (89), (13087) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13090) all_4_77 = n2
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (129), (13089), (13090) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13091) sum(n2, n2) = all_4_99
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (11818), (13088) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13092) sum(n5, n10) = all_4_98
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (30), (13091) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13093) all_4_99 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n10, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (71), (13092) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13094) all_4_98 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (232), (13094) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13095) pred(n4) = all_4_68
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (231), (13093) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13096) pred(n4) = all_4_71
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (201), (13094) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13097) succ(n4) = all_4_70
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (200), (13093) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13098) succ(n4) = all_4_67
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (191), (13098) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13099) all_4_67 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13097), (13098) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13100) all_4_67 = all_4_70
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (222), (13095) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13101) all_4_68 = n3
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13095), (13096) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13102) all_4_68 = all_4_71
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13099), (13100) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13103) all_4_70 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (13103) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13104) all_4_70 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13101), (13102) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13105) all_4_71 = n3
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (137), (13099), (13101) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13106) sum(n3, n5) = all_4_66
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (136), (13101), (13104) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13107) sum(n3, n5) = all_4_64
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (134), (13099), (13105) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13108) sum(n3, n5) = all_4_65
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (133), (13104), (13105) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13109) sum(n3, n5) = all_4_69
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (44), (13108) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13110) all_4_65 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13106), (13108) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13111) all_4_65 = all_4_66
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13106), (13107) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13112) all_4_64 = all_4_66
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13107), (13109) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13113) all_4_64 = all_4_69
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13112), (13113) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13114) all_4_66 = all_4_69
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (13114) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13115) all_4_66 = all_4_69
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13110), (13111) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13116) all_4_66 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (13116) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13117) all_4_66 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13115), (13117) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13118) all_4_69 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13113), (13118) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13119) all_4_64 = n8
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (138), (13110), (13119) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13120) sum(n8, n8) = all_4_96
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (135), (13117), (13118) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13121) sum(n8, n8) = all_4_97
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (102), (13120) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13122) all_4_96 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13120), (13121) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13123) all_4_96 = all_4_97
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13122), (13123) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13124) all_4_97 = n5
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (234), (13122) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13125) pred(n5) = all_4_60
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (233), (13124) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13126) pred(n5) = all_4_63
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (203), (13122) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13127) succ(n5) = all_4_62
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (202), (13124) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13128) succ(n5) = all_4_59
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (192), (13128) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13129) all_4_59 = n6
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13127), (13128) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13130) all_4_59 = all_4_62
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_60, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (223), (13125) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13131) all_4_60 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n5,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13125), (13126) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13132) all_4_60 = all_4_63
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13129), (13130) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13133) all_4_62 = n6
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | SIMP: (13133) implies:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13134) all_4_62 = n6
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (13131), (13132) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13135) all_4_63 = n4
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (143), (13129), (13131) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13136) sum(n4, n6) = all_4_58
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (142), (13131), (13134) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13137) sum(n4, n6) = all_4_56
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (140), (13129), (13135) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13138) sum(n4, n6) = all_4_57
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | REDUCE: (139), (13134), (13135) imply:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13139) sum(n4, n6) = all_4_61
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_58, n6, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (56), (13136) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13140) all_4_58 = n10
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n6, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13136), (13138) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13141) all_4_57 = all_4_58
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n6, n4,
% 258.82/65.62 | | | | | | | | | | | | | | | | simplifying with (13137), (13138) gives:
% 258.82/65.62 | | | | | | | | | | | | | | | | (13142) all_4_56 = all_4_57
% 258.82/65.62 | | | | | | | | | | | | | | | |
% 258.82/65.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n6, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | simplifying with (13137), (13139) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13143) all_4_56 = all_4_61
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (13142), (13143) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13144) all_4_57 = all_4_61
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | SIMP: (13144) implies:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13145) all_4_57 = all_4_61
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (13141), (13145) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13146) all_4_58 = all_4_61
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | SIMP: (13146) implies:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13147) all_4_58 = all_4_61
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (13140), (13147) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13148) all_4_61 = n10
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (13145), (13148) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13149) all_4_57 = n10
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (13143), (13148) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13150) all_4_56 = n10
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REDUCE: (144), (13149), (13150) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13151) sum(n10, n10) = all_4_94
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REDUCE: (141), (13140), (13148) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13152) sum(n10, n10) = all_4_95
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_94, n10, n10,
% 258.82/65.63 | | | | | | | | | | | | | | | | simplifying with (126), (13151) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13153) all_4_94 = n9
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n10,
% 258.82/65.63 | | | | | | | | | | | | | | | | n10, simplifying with (13151), (13152) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13154) all_4_94 = all_4_95
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (13153), (13154) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13155) all_4_95 = n9
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REDUCE: (236), (13153) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13156) pred(n9) = all_4_52
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REDUCE: (235), (13155) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13157) pred(n9) = all_4_55
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REDUCE: (205), (13153) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13158) succ(n9) = all_4_54
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REDUCE: (204), (13155) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | (13159) succ(n9) = all_4_51
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 258.82/65.63 | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 258.82/65.63 | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 258.82/65.63 | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 258.82/65.63 | | | | | | | | | | | | | | | | (196), (222), (223), (227), (13079), (13093),
% 258.82/65.63 | | | | | | | | | | | | | | | | (13094), (13095), (13096), (13097), (13098),
% 258.82/65.63 | | | | | | | | | | | | | | | | (13125), (13126), (13127), (13128), (13156),
% 258.82/65.63 | | | | | | | | | | | | | | | | (13157), (13158), (13159) are inconsistent by
% 258.82/65.63 | | | | | | | | | | | | | | | | sub-proof #64.
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | Case 2:
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | (13160) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.82/65.63 | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | BETA: splitting (13079) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13161) ~ (all_4_92 = all_4_93)
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | BETA: splitting (13160) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13162) all_4_100 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (230), (13162) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13163) pred(n4) = all_4_76
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (199), (13162) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13164) succ(n4) = all_4_78
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (191), (13164) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13165) all_4_78 = n5
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (222), (13163) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13166) all_4_76 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (130), (13165), (13166) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13167) sum(n3, n5) = all_4_72
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13166) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13168) sum(n3, n9) = all_4_74
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13165) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13169) sum(n7, n5) = all_4_77
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (44), (13167) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13170) all_4_72 = n8
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (48), (13168) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13171) all_4_74 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (88), (13169) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13172) all_4_77 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13171), (13172) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13173) sum(n1, n1) = all_4_99
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13170) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13174) sum(n5, n8) = all_4_98
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (18), (13173) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13175) all_4_99 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (69), (13174) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13176) all_4_98 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (220), (226), (228), (231), (232), (233), (234),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (235), (236), (13079), (13175), (13176) are
% 258.82/65.63 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13177) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | BETA: splitting (13177) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13178) all_4_100 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13178) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13179) pred(n3) = all_4_76
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13178) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13180) succ(n3) = all_4_78
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (190), (13180) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13181) all_4_78 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (221), (13179) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13182) all_4_76 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13181), (13182) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13183) sum(n2, n4) = all_4_72
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13182) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13184) sum(n2, n9) = all_4_74
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13181) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13185) sum(n7, n4) = all_4_77
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (32), (13183) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13186) all_4_72 = n6
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (37), (13184) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13187) all_4_74 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (87), (13185) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13188) all_4_77 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13187), (13188) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13189) sum(n0, n0) = all_4_99
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13186) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13190) sum(n5, n6) = all_4_98
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (6), (13189) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13191) all_4_99 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (67), (13190) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13192) all_4_98 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13161), (13189), (13191), (13192) are
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51.
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13193) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (13193) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13194) all_4_100 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13194) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13195) pred(n2) = all_4_76
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13194) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13196) succ(n2) = all_4_78
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (13196) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13197) all_4_78 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (13195) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13198) all_4_76 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13197), (13198) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13199) sum(n1, n3) = all_4_72
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13198) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13200) sum(n1, n9) = all_4_74
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13197) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13201) sum(n7, n3) = all_4_77
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (13199) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13202) all_4_72 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | simplifying with (26), (13200) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13203) all_4_74 = n10
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | simplifying with (86), (13201) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13204) all_4_77 = n10
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13203), (13204) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13205) sum(n10, n10) = all_4_99
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13202) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13206) sum(n5, n4) = all_4_98
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | simplifying with (65), (13206) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13207) all_4_98 = n9
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (235), (236), (13161), (13205), (13207) are
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #50.
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13208) all_4_100 = n1 | all_4_100 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (15), (18), (20), (30), (32),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (42), (54), (56), (61), (63), (66), (68), (78),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (80), (84), (85), (90), (92), (102), (104), (114),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (117), (125), (126), (129), (130), (133), (134),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (149), (150), (151), (152), (153), (154), (155),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (156), (187), (188), (189), (190), (192), (193),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (194), (195), (196), (199), (200), (201), (202),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (218), (219),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (226), (227),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (237), (238), (11814), (11816), (11818), (12817),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | | (13208) are inconsistent by sub-proof #57.
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | End of split
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | End of split
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | End of split
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13209) all_4_92 = all_4_93
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13210) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 258.82/65.63 | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | REDUCE: (238), (13209) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13211) pred(all_4_93) = all_4_44
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | REDUCE: (207), (13209) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13212) succ(all_4_93) = all_4_46
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_43, all_4_46,
% 258.82/65.63 | | | | | | | | | | | | | | | | | all_4_93, simplifying with (206), (13212) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13213) all_4_43 = all_4_46
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44,
% 258.82/65.63 | | | | | | | | | | | | | | | | | all_4_93, simplifying with (237), (13211) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13214) all_4_44 = all_4_47
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | REDUCE: (155), (13213), (13214) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13215) sum(all_4_47, all_4_46) = all_4_42
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | REDUCE: (154), (13214) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13216) sum(all_4_47, all_4_46) = all_4_40
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | REDUCE: (152), (13213) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13217) sum(all_4_47, all_4_46) = all_4_41
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_41,
% 258.82/65.63 | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (151),
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13217) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13218) all_4_41 = all_4_45
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40,
% 258.82/65.63 | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (13216),
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13217) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13219) all_4_40 = all_4_41
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_40,
% 258.82/65.63 | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (13215),
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13216) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13220) all_4_40 = all_4_42
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (13219), (13220) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13221) all_4_41 = all_4_42
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | SIMP: (13221) implies:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13222) all_4_41 = all_4_42
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (13218), (13222) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | (13223) all_4_42 = all_4_45
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | BETA: splitting (13160) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13224) all_4_100 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (230), (13224) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13225) pred(n4) = all_4_76
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (199), (13224) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13226) succ(n4) = all_4_78
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (191), (13226) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13227) all_4_78 = n5
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (222), (13225) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13228) all_4_76 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (130), (13227), (13228) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13229) sum(n3, n5) = all_4_72
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13228) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13230) sum(n3, n9) = all_4_74
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13227) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13231) sum(n7, n5) = all_4_77
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (44), (13229) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13232) all_4_72 = n8
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n9, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (48), (13230) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13233) all_4_74 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n5, n7,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (88), (13231) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13234) all_4_77 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13233), (13234) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13235) sum(n1, n1) = all_4_99
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13232) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13236) sum(n5, n8) = all_4_98
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (18), (13235) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13237) all_4_99 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n8, n5,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (69), (13236) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13238) all_4_98 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (232), (13238) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13239) pred(n2) = all_4_68
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (231), (13237) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13240) pred(n2) = all_4_71
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (201), (13238) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13241) succ(n2) = all_4_70
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (200), (13237) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13242) succ(n2) = all_4_67
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (189), (13242) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13243) all_4_67 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (13241), (13242) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13244) all_4_67 = all_4_70
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (220), (13239) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13245) all_4_68 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (13239), (13240) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13246) all_4_68 = all_4_71
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13243), (13244) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13247) all_4_70 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | SIMP: (13247) implies:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13248) all_4_70 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13246) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13249) all_4_71 = n1
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (137), (13243), (13245) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13250) sum(n1, n3) = all_4_66
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (136), (13245), (13248) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13251) sum(n1, n3) = all_4_64
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (134), (13243), (13249) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13252) sum(n1, n3) = all_4_65
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (133), (13248), (13249) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13253) sum(n1, n3) = all_4_69
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (20), (13252) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13254) all_4_65 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (13250), (13252) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13255) all_4_65 = all_4_66
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (13250), (13251) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13256) all_4_64 = all_4_66
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (13251), (13253) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13257) all_4_64 = all_4_69
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13256), (13257) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13258) all_4_66 = all_4_69
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | SIMP: (13258) implies:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13259) all_4_66 = all_4_69
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13254), (13255) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13260) all_4_66 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | SIMP: (13260) implies:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13261) all_4_66 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13259), (13261) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13262) all_4_69 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13257), (13262) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13263) all_4_64 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (138), (13254), (13263) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13264) sum(n4, n4) = all_4_96
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (135), (13261), (13262) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13265) sum(n4, n4) = all_4_97
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (54), (13264) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13266) all_4_96 = n8
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | simplifying with (13264), (13265) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13267) all_4_96 = all_4_97
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13266), (13267) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13268) all_4_97 = n8
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (234), (13266) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13269) pred(n8) = all_4_60
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (233), (13268) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13270) pred(n8) = all_4_63
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (203), (13266) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13271) succ(n8) = all_4_62
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REDUCE: (202), (13268) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13272) succ(n8) = all_4_59
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (220),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (226), (13210), (13237), (13238), (13239),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13240), (13241), (13242), (13269), (13270),
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13271), (13272) are inconsistent by sub-proof
% 258.82/65.63 | | | | | | | | | | | | | | | | | | #56.
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | (13273) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | BETA: splitting (13273) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13274) all_4_100 = n3
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13274) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13275) pred(n3) = all_4_76
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13274) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13276) succ(n3) = all_4_78
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (190), (13276) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13277) all_4_78 = n4
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (221), (13275) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13278) all_4_76 = n2
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13277), (13278) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13279) sum(n2, n4) = all_4_72
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13278) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13280) sum(n2, n9) = all_4_74
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13277) imply:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13281) sum(n7, n4) = all_4_77
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (32), (13279) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13282) all_4_72 = n6
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n9, n2,
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | simplifying with (37), (13280) gives:
% 258.82/65.63 | | | | | | | | | | | | | | | | | | | (13283) all_4_74 = n0
% 258.82/65.63 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n4, n7,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (87), (13281) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13284) all_4_77 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13283), (13284) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13285) sum(n0, n0) = all_4_99
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13282) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13286) sum(n5, n6) = all_4_98
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (6), (13285) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13287) all_4_99 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n6, n5,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (67), (13286) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13288) all_4_98 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (232), (13288) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13289) pred(n0) = all_4_68
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (231), (13287) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13290) pred(n0) = all_4_71
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (13288) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13291) succ(n0) = all_4_70
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (200), (13287) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13292) succ(n0) = all_4_67
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_67, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (187), (13292) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13293) all_4_67 = n1
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (13291), (13292) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13294) all_4_67 = all_4_70
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_68, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (218), (13289) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13295) all_4_68 = n10
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (13289), (13290) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13296) all_4_68 = all_4_71
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13293), (13294) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13297) all_4_70 = n1
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13295), (13296) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13298) all_4_71 = n10
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (137), (13293), (13295) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13299) sum(n10, n1) = all_4_66
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (13295), (13297) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13300) sum(n10, n1) = all_4_64
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (13293), (13298) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13301) sum(n10, n1) = all_4_65
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (13297), (13298) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13302) sum(n10, n1) = all_4_69
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_65, n1, n10,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (117), (13301) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13303) all_4_65 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n1,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | n10, simplifying with (13299), (13301) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13304) all_4_65 = all_4_66
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n1,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | n10, simplifying with (13299), (13300) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13305) all_4_64 = all_4_66
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n1,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | n10, simplifying with (13300), (13302) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13306) all_4_64 = all_4_69
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13305), (13306) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13307) all_4_66 = all_4_69
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | SIMP: (13307) implies:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13308) all_4_66 = all_4_69
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13303), (13304) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13309) all_4_66 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | SIMP: (13309) implies:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13310) all_4_66 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13308), (13310) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13311) all_4_69 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13306), (13311) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13312) all_4_64 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (138), (13303), (13312) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13313) sum(n0, n0) = all_4_96
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13310), (13311) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13314) sum(n0, n0) = all_4_97
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_96, n0, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (6), (13313) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13315) all_4_96 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n0, n0,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | simplifying with (13313), (13314) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13316) all_4_96 = all_4_97
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13315), (13316) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13317) all_4_97 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | SIMP: (13317) implies:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13318) all_4_97 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (144), (187), (202), (203), (218), (233), (234),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13210), (13287), (13288), (13289), (13290),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13291), (13292), (13314), (13315), (13318) are
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | (13319) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (13319) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13320) all_4_100 = n2
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13320) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13321) pred(n2) = all_4_76
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13320) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13322) succ(n2) = all_4_78
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (13322) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13323) all_4_78 = n3
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (13321) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13324) all_4_76 = n1
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13323), (13324) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13325) sum(n1, n3) = all_4_72
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (13324) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13326) sum(n1, n9) = all_4_74
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (13323) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13327) sum(n7, n3) = all_4_77
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (13325) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13328) all_4_72 = n4
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n9, n1,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | simplifying with (26), (13326) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13329) all_4_74 = n10
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n3, n7,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | simplifying with (86), (13327) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13330) all_4_77 = n10
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13329), (13330) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13331) sum(n10, n10) = all_4_99
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (11818), (13328) imply:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13332) sum(n5, n4) = all_4_98
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n4, n5,
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | simplifying with (65), (13332) gives:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13333) all_4_98 = n9
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (13210), (13331), (13333) are
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13334) all_4_100 = n1 | all_4_100 = n0
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (15), (18), (20), (30), (32),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (42), (54), (56), (61), (63), (66), (68), (78),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (80), (84), (85), (90), (92), (102), (104), (114),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (117), (125), (126), (129), (130), (133), (134),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (149), (150), (151), (152), (153), (154), (155),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (156), (187), (188), (189), (190), (192), (193),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (194), (195), (196), (199), (200), (201), (202),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (218), (219),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (226), (227),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (237), (238), (11814), (11816), (11818), (12817),
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | | (13334) are inconsistent by sub-proof #57.
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | End of split
% 258.82/65.64 | | | | | | | | |
% 258.82/65.64 | | | | | | | | End of split
% 258.82/65.64 | | | | | | | |
% 258.82/65.64 | | | | | | | Case 2:
% 258.82/65.64 | | | | | | | |
% 258.82/65.64 | | | | | | | | (13335) all_4_101 = n7 | all_4_101 = n6 | all_4_101 = n5 |
% 258.82/65.64 | | | | | | | | all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.82/65.64 | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.64 | | | | | | | |
% 258.82/65.64 | | | | | | | | BETA: splitting (10399) gives:
% 258.82/65.64 | | | | | | | |
% 258.82/65.64 | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | |
% 258.82/65.64 | | | | | | | | | (13336) ~ (all_4_84 = all_4_85)
% 258.82/65.64 | | | | | | | | |
% 258.82/65.64 | | | | | | | | | BETA: splitting (11808) gives:
% 258.82/65.64 | | | | | | | | |
% 258.82/65.64 | | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | (13337) all_4_100 = n8
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | REDUCE: (230), (13337) imply:
% 258.82/65.64 | | | | | | | | | | (13338) pred(n8) = all_4_76
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | REDUCE: (199), (13337) imply:
% 258.82/65.64 | | | | | | | | | | (13339) succ(n8) = all_4_78
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 258.82/65.64 | | | | | | | | | | simplifying with (195), (13339) gives:
% 258.82/65.64 | | | | | | | | | | (13340) all_4_78 = n9
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 258.82/65.64 | | | | | | | | | | simplifying with (226), (13338) gives:
% 258.82/65.64 | | | | | | | | | | (13341) all_4_76 = n7
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | REDUCE: (131), (13341) imply:
% 258.82/65.64 | | | | | | | | | | (13342) sum(n7, all_4_75) = all_4_74
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | REDUCE: (130), (13340), (13341) imply:
% 258.82/65.64 | | | | | | | | | | (13343) sum(n7, n9) = all_4_72
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | REDUCE: (127), (13340) imply:
% 258.82/65.64 | | | | | | | | | | (13344) sum(all_4_79, n9) = all_4_77
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 258.82/65.64 | | | | | | | | | | simplifying with (92), (13343) gives:
% 258.82/65.64 | | | | | | | | | | (13345) all_4_72 = n5
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | REDUCE: (132), (13345) imply:
% 258.82/65.64 | | | | | | | | | | (13346) sum(all_4_73, n5) = all_4_98
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | BETA: splitting (13335) gives:
% 258.82/65.64 | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | (13347) all_4_101 = n7
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (229), (13347) imply:
% 258.82/65.64 | | | | | | | | | | | (13348) pred(n7) = all_4_79
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (198), (13347) imply:
% 258.82/65.64 | | | | | | | | | | | (13349) succ(n7) = all_4_75
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 258.82/65.64 | | | | | | | | | | | simplifying with (194), (13349) gives:
% 258.82/65.64 | | | | | | | | | | | (13350) all_4_75 = n8
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 258.82/65.64 | | | | | | | | | | | simplifying with (225), (13348) gives:
% 258.82/65.64 | | | | | | | | | | | (13351) all_4_79 = n6
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (128), (13350), (13351) imply:
% 258.82/65.64 | | | | | | | | | | | (13352) sum(n6, n8) = all_4_73
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (13344), (13351) imply:
% 258.82/65.64 | | | | | | | | | | | (13353) sum(n6, n9) = all_4_77
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (13342), (13350) imply:
% 258.82/65.64 | | | | | | | | | | | (13354) sum(n7, n8) = all_4_74
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 258.82/65.64 | | | | | | | | | | | simplifying with (80), (13352) gives:
% 258.82/65.64 | | | | | | | | | | | (13355) all_4_73 = n3
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n9, n6,
% 258.82/65.64 | | | | | | | | | | | simplifying with (81), (13353) gives:
% 258.82/65.64 | | | | | | | | | | | (13356) all_4_77 = n4
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n8, n7,
% 258.82/65.64 | | | | | | | | | | | simplifying with (91), (13354) gives:
% 258.82/65.64 | | | | | | | | | | | (13357) all_4_74 = n4
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (13346), (13355) imply:
% 258.82/65.64 | | | | | | | | | | | (13358) sum(n3, n5) = all_4_98
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REDUCE: (129), (13356), (13357) imply:
% 258.82/65.64 | | | | | | | | | | | (13359) sum(n4, n4) = all_4_99
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n5, n3,
% 258.82/65.64 | | | | | | | | | | | simplifying with (44), (13358) gives:
% 258.82/65.64 | | | | | | | | | | | (13360) all_4_98 = n8
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 258.82/65.64 | | | | | | | | | | | simplifying with (54), (13359) gives:
% 258.82/65.64 | | | | | | | | | | | (13361) all_4_99 = n8
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 258.82/65.64 | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.64 | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.64 | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.64 | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.64 | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.64 | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.64 | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.64 | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.64 | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.64 | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.64 | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.64 | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.64 | | | | | | | | | | | (13359), (13360), (13361) are inconsistent by
% 258.82/65.64 | | | | | | | | | | | sub-proof #169.
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | Case 2:
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | (13362) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 258.82/65.64 | | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.82/65.64 | | | | | | | | | | | all_4_101 = n0
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | BETA: splitting (13362) gives:
% 258.82/65.64 | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | (13363) all_4_101 = n6
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (229), (13363) imply:
% 258.82/65.64 | | | | | | | | | | | | (13364) pred(n6) = all_4_79
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (198), (13363) imply:
% 258.82/65.64 | | | | | | | | | | | | (13365) succ(n6) = all_4_75
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (193), (13365) gives:
% 258.82/65.64 | | | | | | | | | | | | (13366) all_4_75 = n7
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (224), (13364) gives:
% 258.82/65.64 | | | | | | | | | | | | (13367) all_4_79 = n5
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (128), (13366), (13367) imply:
% 258.82/65.64 | | | | | | | | | | | | (13368) sum(n5, n7) = all_4_73
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (13344), (13367) imply:
% 258.82/65.64 | | | | | | | | | | | | (13369) sum(n5, n9) = all_4_77
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (13342), (13366) imply:
% 258.82/65.64 | | | | | | | | | | | | (13370) sum(n7, n7) = all_4_74
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (68), (13368) gives:
% 258.82/65.64 | | | | | | | | | | | | (13371) all_4_73 = n1
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n9, n5,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (70), (13369) gives:
% 258.82/65.64 | | | | | | | | | | | | (13372) all_4_77 = n3
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n7, n7,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (90), (13370) gives:
% 258.82/65.64 | | | | | | | | | | | | (13373) all_4_74 = n3
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (13346), (13371) imply:
% 258.82/65.64 | | | | | | | | | | | | (13374) sum(n1, n5) = all_4_98
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REDUCE: (129), (13372), (13373) imply:
% 258.82/65.64 | | | | | | | | | | | | (13375) sum(n3, n3) = all_4_99
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n5, n1,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (22), (13374) gives:
% 258.82/65.64 | | | | | | | | | | | | (13376) all_4_98 = n6
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 258.82/65.64 | | | | | | | | | | | | simplifying with (42), (13375) gives:
% 258.82/65.64 | | | | | | | | | | | | (13377) all_4_99 = n6
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.82/65.64 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.64 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.64 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.64 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.64 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.64 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.64 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.64 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.64 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.64 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.64 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.64 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.64 | | | | | | | | | | | | (13375), (13376), (13377) are inconsistent by
% 258.82/65.64 | | | | | | | | | | | | sub-proof #168.
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | Case 2:
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | (13378) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 258.82/65.64 | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | BETA: splitting (13378) gives:
% 258.82/65.64 | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | (13379) all_4_101 = n5
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (229), (13379) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13380) pred(n5) = all_4_79
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (198), (13379) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13381) succ(n5) = all_4_75
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (192), (13381) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13382) all_4_75 = n6
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (223), (13380) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13383) all_4_79 = n4
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (128), (13382), (13383) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13384) sum(n4, n6) = all_4_73
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (13344), (13383) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13385) sum(n4, n9) = all_4_77
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (13342), (13382) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13386) sum(n7, n6) = all_4_74
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (56), (13384) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13387) all_4_73 = n10
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n9, n4,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (59), (13385) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13388) all_4_77 = n2
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n6, n7,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (89), (13386) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13389) all_4_74 = n2
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (13346), (13387) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13390) sum(n10, n5) = all_4_98
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REDUCE: (129), (13388), (13389) imply:
% 258.82/65.64 | | | | | | | | | | | | | (13391) sum(n2, n2) = all_4_99
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (30), (13391) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13392) all_4_99 = n4
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n5, n10,
% 258.82/65.64 | | | | | | | | | | | | | simplifying with (121), (13390) gives:
% 258.82/65.64 | | | | | | | | | | | | | (13393) all_4_98 = n4
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.82/65.64 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.82/65.64 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.64 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.64 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.64 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.64 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.64 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.64 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.64 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.64 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.64 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.64 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.64 | | | | | | | | | | | | | (13391), (13392), (13393) are inconsistent by
% 258.82/65.64 | | | | | | | | | | | | | sub-proof #167.
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | Case 2:
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | (13394) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.82/65.64 | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | BETA: splitting (13394) gives:
% 258.82/65.64 | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | Case 1:
% 258.82/65.64 | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | (13395) all_4_101 = n4
% 258.82/65.64 | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | REDUCE: (229), (13395) imply:
% 258.82/65.64 | | | | | | | | | | | | | | (13396) pred(n4) = all_4_79
% 258.82/65.64 | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | REDUCE: (198), (13395) imply:
% 258.82/65.64 | | | | | | | | | | | | | | (13397) succ(n4) = all_4_75
% 258.82/65.64 | | | | | | | | | | | | | |
% 258.82/65.64 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.82/65.64 | | | | | | | | | | | | | | simplifying with (191), (13397) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13398) all_4_75 = n5
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.82/65.65 | | | | | | | | | | | | | | simplifying with (222), (13396) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13399) all_4_79 = n3
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | REDUCE: (128), (13398), (13399) imply:
% 258.82/65.65 | | | | | | | | | | | | | | (13400) sum(n3, n5) = all_4_73
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | REDUCE: (13344), (13399) imply:
% 258.82/65.65 | | | | | | | | | | | | | | (13401) sum(n3, n9) = all_4_77
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | REDUCE: (13342), (13398) imply:
% 258.82/65.65 | | | | | | | | | | | | | | (13402) sum(n7, n5) = all_4_74
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.82/65.65 | | | | | | | | | | | | | | simplifying with (44), (13400) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13403) all_4_73 = n8
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 258.82/65.65 | | | | | | | | | | | | | | simplifying with (48), (13401) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13404) all_4_77 = n1
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 258.82/65.65 | | | | | | | | | | | | | | simplifying with (88), (13402) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13405) all_4_74 = n1
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | REDUCE: (13346), (13403) imply:
% 258.82/65.65 | | | | | | | | | | | | | | (13406) sum(n8, n5) = all_4_98
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | REDUCE: (129), (13404), (13405) imply:
% 258.82/65.65 | | | | | | | | | | | | | | (13407) sum(n1, n1) = all_4_99
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.65 | | | | | | | | | | | | | | simplifying with (18), (13407) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13408) all_4_99 = n2
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 258.82/65.65 | | | | | | | | | | | | | | simplifying with (99), (13406) gives:
% 258.82/65.65 | | | | | | | | | | | | | | (13409) all_4_98 = n2
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.82/65.65 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.65 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.65 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.65 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.65 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.65 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.65 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.65 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.65 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.65 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.65 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.65 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.65 | | | | | | | | | | | | | | (13407), (13408), (13409) are inconsistent by
% 258.82/65.65 | | | | | | | | | | | | | | sub-proof #166.
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | Case 2:
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | (13410) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.82/65.65 | | | | | | | | | | | | | | all_4_101 = n0
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | BETA: splitting (13410) gives:
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | Case 1:
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | (13411) all_4_101 = n3
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (229), (13411) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13412) pred(n3) = all_4_79
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (198), (13411) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13413) succ(n3) = all_4_75
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (190), (13413) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13414) all_4_75 = n4
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (221), (13412) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13415) all_4_79 = n2
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (128), (13414), (13415) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13416) sum(n2, n4) = all_4_73
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (13344), (13415) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13417) sum(n2, n9) = all_4_77
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (13342), (13414) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13418) sum(n7, n4) = all_4_74
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (32), (13416) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13419) all_4_73 = n6
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (37), (13417) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13420) all_4_77 = n0
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (87), (13418) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13421) all_4_74 = n0
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (13346), (13419) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13422) sum(n6, n5) = all_4_98
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REDUCE: (129), (13420), (13421) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | (13423) sum(n0, n0) = all_4_99
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (6), (13423) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13424) all_4_99 = n0
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 258.82/65.65 | | | | | | | | | | | | | | | simplifying with (77), (13422) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | (13425) all_4_98 = n0
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.65 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.65 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.65 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.65 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.65 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.65 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 258.82/65.65 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 258.82/65.65 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 258.82/65.65 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.82/65.65 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (13336),
% 258.82/65.65 | | | | | | | | | | | | | | | (13423), (13424), (13425) are inconsistent by
% 258.82/65.65 | | | | | | | | | | | | | | | sub-proof #164.
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | Case 2:
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | (13426) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | BETA: splitting (13426) gives:
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | Case 1:
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | (13427) all_4_101 = n2
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (229), (13427) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13428) pred(n2) = all_4_79
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (198), (13427) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13429) succ(n2) = all_4_75
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (189), (13429) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13430) all_4_75 = n3
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (220), (13428) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13431) all_4_79 = n1
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (128), (13430), (13431) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13432) sum(n1, n3) = all_4_73
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (13344), (13431) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13433) sum(n1, n9) = all_4_77
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (13342), (13430) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13434) sum(n7, n3) = all_4_74
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (20), (13432) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13435) all_4_73 = n4
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (26), (13433) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13436) all_4_77 = n10
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (86), (13434) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13437) all_4_74 = n10
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (13346), (13435) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13438) sum(n4, n5) = all_4_98
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REDUCE: (129), (13436), (13437) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13439) sum(n10, n10) = all_4_99
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (55), (13438) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13440) all_4_98 = n9
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.82/65.65 | | | | | | | | | | | | | | | | simplifying with (126), (13439) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | (13441) all_4_99 = n9
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.65 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.82/65.65 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.65 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.65 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.65 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.65 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.65 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.65 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.65 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.65 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.65 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.65 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.65 | | | | | | | | | | | | | | | | (13439), (13440), (13441) are inconsistent by
% 258.82/65.65 | | | | | | | | | | | | | | | | sub-proof #163.
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | Case 2:
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | (13442) all_4_101 = n1 | all_4_101 = n0
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | BETA: splitting (13442) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13443) all_4_101 = n1
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (229), (13443) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13444) pred(n1) = all_4_79
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (198), (13443) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13445) succ(n1) = all_4_75
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (188), (13445) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13446) all_4_75 = n2
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (219), (13444) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13447) all_4_79 = n0
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (128), (13446), (13447) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13448) sum(n0, n2) = all_4_73
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (13344), (13447) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13449) sum(n0, n9) = all_4_77
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (13342), (13446) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13450) sum(n7, n2) = all_4_74
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (8), (13448) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13451) all_4_73 = n2
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n9, n0,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (15), (13449) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13452) all_4_77 = n9
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n2, n7,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (85), (13450) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13453) all_4_74 = n9
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (13346), (13451) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13454) sum(n2, n5) = all_4_98
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (129), (13452), (13453) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13455) sum(n9, n9) = all_4_99
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n5, n2,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (33), (13454) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13456) all_4_98 = n7
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (114), (13455) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13457) all_4_99 = n7
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13455), (13456), (13457) are inconsistent by
% 258.82/65.65 | | | | | | | | | | | | | | | | | sub-proof #85.
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13458) all_4_101 = n0
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (229), (13458) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13459) pred(n0) = all_4_79
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (198), (13458) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13460) succ(n0) = all_4_75
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (187), (13460) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13461) all_4_75 = n1
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (218), (13459) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13462) all_4_79 = n10
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (128), (13461), (13462) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13463) sum(n10, n1) = all_4_73
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (13344), (13462) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13464) sum(n10, n9) = all_4_77
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (13342), (13461) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13465) sum(n7, n1) = all_4_74
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n1, n7,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (84), (13465) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13466) all_4_74 = n8
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (117), (13463) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13467) all_4_73 = n0
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n9, n10,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (125), (13464) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13468) all_4_77 = n8
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (13346), (13467) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13469) sum(n0, n5) = all_4_98
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REDUCE: (129), (13466), (13468) imply:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13470) sum(n8, n8) = all_4_99
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n5, n0,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (11), (13469) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13471) all_4_98 = n5
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.82/65.65 | | | | | | | | | | | | | | | | | simplifying with (102), (13470) gives:
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13472) all_4_99 = n5
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.65 | | | | | | | | | | | | | | | | | (13470), (13471), (13472) are inconsistent by
% 258.82/65.65 | | | | | | | | | | | | | | | | | sub-proof #70.
% 258.82/65.65 | | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | End of split
% 258.82/65.65 | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | Case 2:
% 258.82/65.65 | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | (13473) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 258.82/65.65 | | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.82/65.65 | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.65 | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | BETA: splitting (13335) gives:
% 258.82/65.65 | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | Case 1:
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | (13474) all_4_101 = n7
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | REDUCE: (229), (13474) imply:
% 258.82/65.65 | | | | | | | | | | | (13475) pred(n7) = all_4_79
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | REDUCE: (198), (13474) imply:
% 258.82/65.65 | | | | | | | | | | | (13476) succ(n7) = all_4_75
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 258.82/65.65 | | | | | | | | | | | simplifying with (194), (13476) gives:
% 258.82/65.65 | | | | | | | | | | | (13477) all_4_75 = n8
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 258.82/65.65 | | | | | | | | | | | simplifying with (225), (13475) gives:
% 258.82/65.65 | | | | | | | | | | | (13478) all_4_79 = n6
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | REDUCE: (131), (13477) imply:
% 258.82/65.65 | | | | | | | | | | | (13479) sum(all_4_76, n8) = all_4_74
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | REDUCE: (128), (13477), (13478) imply:
% 258.82/65.65 | | | | | | | | | | | (13480) sum(n6, n8) = all_4_73
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | REDUCE: (127), (13478) imply:
% 258.82/65.65 | | | | | | | | | | | (13481) sum(n6, all_4_78) = all_4_77
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 258.82/65.65 | | | | | | | | | | | simplifying with (80), (13480) gives:
% 258.82/65.65 | | | | | | | | | | | (13482) all_4_73 = n3
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | REDUCE: (132), (13482) imply:
% 258.82/65.65 | | | | | | | | | | | (13483) sum(n3, all_4_72) = all_4_98
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | BETA: splitting (13473) gives:
% 258.82/65.65 | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | Case 1:
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | (13484) all_4_100 = n7
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (230), (13484) imply:
% 258.82/65.65 | | | | | | | | | | | | (13485) pred(n7) = all_4_76
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (199), (13484) imply:
% 258.82/65.65 | | | | | | | | | | | | (13486) succ(n7) = all_4_78
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (194), (13486) gives:
% 258.82/65.65 | | | | | | | | | | | | (13487) all_4_78 = n8
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (225), (13485) gives:
% 258.82/65.65 | | | | | | | | | | | | (13488) all_4_76 = n6
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (130), (13487), (13488) imply:
% 258.82/65.65 | | | | | | | | | | | | (13489) sum(n6, n8) = all_4_72
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (13479), (13488) imply:
% 258.82/65.65 | | | | | | | | | | | | (13490) sum(n6, n8) = all_4_74
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (13481), (13487) imply:
% 258.82/65.65 | | | | | | | | | | | | (13491) sum(n6, n8) = all_4_77
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n8, n6,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (80), (13490) gives:
% 258.82/65.65 | | | | | | | | | | | | (13492) all_4_74 = n3
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n8, n6,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (13489), (13490) gives:
% 258.82/65.65 | | | | | | | | | | | | (13493) all_4_72 = all_4_74
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n8, n6,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (13489), (13491) gives:
% 258.82/65.65 | | | | | | | | | | | | (13494) all_4_72 = all_4_77
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | COMBINE_EQS: (13493), (13494) imply:
% 258.82/65.65 | | | | | | | | | | | | (13495) all_4_74 = all_4_77
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | SIMP: (13495) implies:
% 258.82/65.65 | | | | | | | | | | | | (13496) all_4_74 = all_4_77
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | COMBINE_EQS: (13492), (13496) imply:
% 258.82/65.65 | | | | | | | | | | | | (13497) all_4_77 = n3
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | COMBINE_EQS: (13494), (13497) imply:
% 258.82/65.65 | | | | | | | | | | | | (13498) all_4_72 = n3
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (129), (13492), (13497) imply:
% 258.82/65.65 | | | | | | | | | | | | (13499) sum(n3, n3) = all_4_99
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REDUCE: (13483), (13498) imply:
% 258.82/65.65 | | | | | | | | | | | | (13500) sum(n3, n3) = all_4_98
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n3, n3,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (42), (13500) gives:
% 258.82/65.65 | | | | | | | | | | | | (13501) all_4_98 = n6
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n3, n3,
% 258.82/65.65 | | | | | | | | | | | | simplifying with (13499), (13500) gives:
% 258.82/65.65 | | | | | | | | | | | | (13502) all_4_98 = all_4_99
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | COMBINE_EQS: (13501), (13502) imply:
% 258.82/65.65 | | | | | | | | | | | | (13503) all_4_99 = n6
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | SIMP: (13503) implies:
% 258.82/65.65 | | | | | | | | | | | | (13504) all_4_99 = n6
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 258.82/65.65 | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.65 | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.65 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.65 | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.65 | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.65 | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.65 | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.65 | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.65 | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.65 | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.65 | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.65 | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.65 | | | | | | | | | | | | (13499), (13501), (13504) are inconsistent by
% 258.82/65.65 | | | | | | | | | | | | sub-proof #168.
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | Case 2:
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | (13505) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 258.82/65.65 | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.82/65.65 | | | | | | | | | | | | all_4_100 = n0
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | BETA: splitting (13505) gives:
% 258.82/65.65 | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | Case 1:
% 258.82/65.65 | | | | | | | | | | | | |
% 258.82/65.65 | | | | | | | | | | | | | (13506) all_4_100 = n6
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (230), (13506) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13507) pred(n6) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (199), (13506) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13508) succ(n6) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (193), (13508) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13509) all_4_78 = n7
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (224), (13507) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13510) all_4_76 = n5
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (130), (13509), (13510) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13511) sum(n5, n7) = all_4_72
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (13479), (13510) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13512) sum(n5, n8) = all_4_74
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (13481), (13509) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13513) sum(n6, n7) = all_4_77
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (68), (13511) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13514) all_4_72 = n1
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n8, n5,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (69), (13512) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13515) all_4_74 = n2
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n7, n6,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (79), (13513) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13516) all_4_77 = n2
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (129), (13515), (13516) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13517) sum(n2, n2) = all_4_99
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REDUCE: (13483), (13514) imply:
% 258.82/65.66 | | | | | | | | | | | | | (13518) sum(n3, n1) = all_4_98
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (30), (13517) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13519) all_4_99 = n4
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n1, n3,
% 258.82/65.66 | | | | | | | | | | | | | simplifying with (40), (13518) gives:
% 258.82/65.66 | | | | | | | | | | | | | (13520) all_4_98 = n4
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.82/65.66 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.82/65.66 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.66 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.66 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.66 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.66 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.66 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.66 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.66 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.66 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.66 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.66 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.66 | | | | | | | | | | | | | (13517), (13519), (13520) are inconsistent by
% 258.82/65.66 | | | | | | | | | | | | | sub-proof #167.
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | Case 2:
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | (13521) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 258.82/65.66 | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | BETA: splitting (13521) gives:
% 258.82/65.66 | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | Case 1:
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | (13522) all_4_100 = n5
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (230), (13522) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13523) pred(n5) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (199), (13522) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13524) succ(n5) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (192), (13524) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13525) all_4_78 = n6
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (223), (13523) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13526) all_4_76 = n4
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (130), (13525), (13526) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13527) sum(n4, n6) = all_4_72
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (13479), (13526) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13528) sum(n4, n8) = all_4_74
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (13481), (13525) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13529) sum(n6, n6) = all_4_77
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (56), (13527) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13530) all_4_72 = n10
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (58), (13528) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13531) all_4_74 = n1
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (78), (13529) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13532) all_4_77 = n1
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (129), (13531), (13532) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13533) sum(n1, n1) = all_4_99
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REDUCE: (13483), (13530) imply:
% 258.82/65.66 | | | | | | | | | | | | | | (13534) sum(n3, n10) = all_4_98
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (18), (13533) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13535) all_4_99 = n2
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 258.82/65.66 | | | | | | | | | | | | | | simplifying with (49), (13534) gives:
% 258.82/65.66 | | | | | | | | | | | | | | (13536) all_4_98 = n2
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.82/65.66 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.66 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.66 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.66 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.66 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.66 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.66 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.66 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.66 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.66 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.66 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.66 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.66 | | | | | | | | | | | | | | (13533), (13535), (13536) are inconsistent by
% 258.82/65.66 | | | | | | | | | | | | | | sub-proof #166.
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | Case 2:
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | (13537) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 258.82/65.66 | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | BETA: splitting (13537) gives:
% 258.82/65.66 | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | Case 1:
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | (13538) all_4_100 = n4
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (230), (13538) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13539) pred(n4) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (199), (13538) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13540) succ(n4) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (191), (13540) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13541) all_4_78 = n5
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (222), (13539) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13542) all_4_76 = n3
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (130), (13541), (13542) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13543) sum(n3, n5) = all_4_72
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (13479), (13542) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13544) sum(n3, n8) = all_4_74
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (13481), (13541) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13545) sum(n6, n5) = all_4_77
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (44), (13543) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13546) all_4_72 = n8
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (47), (13544) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13547) all_4_74 = n0
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (77), (13545) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13548) all_4_77 = n0
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (129), (13547), (13548) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13549) sum(n0, n0) = all_4_99
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REDUCE: (13483), (13546) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | (13550) sum(n3, n8) = all_4_98
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (6), (13549) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13551) all_4_99 = n0
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | simplifying with (47), (13550) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | (13552) all_4_98 = n0
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.66 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.66 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.66 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.66 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.66 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.66 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 258.82/65.66 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 258.82/65.66 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 258.82/65.66 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.82/65.66 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (13336),
% 258.82/65.66 | | | | | | | | | | | | | | | (13549), (13551), (13552) are inconsistent by
% 258.82/65.66 | | | | | | | | | | | | | | | sub-proof #164.
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | Case 2:
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | (13553) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 258.82/65.66 | | | | | | | | | | | | | | | all_4_100 = n0
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | BETA: splitting (13553) gives:
% 258.82/65.66 | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | Case 1:
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | (13554) all_4_100 = n3
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (230), (13554) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13555) pred(n3) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (199), (13554) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13556) succ(n3) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (190), (13556) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13557) all_4_78 = n4
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (221), (13555) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13558) all_4_76 = n2
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (130), (13557), (13558) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13559) sum(n2, n4) = all_4_72
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (13479), (13558) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13560) sum(n2, n8) = all_4_74
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (13481), (13557) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13561) sum(n6, n4) = all_4_77
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (32), (13559) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13562) all_4_72 = n6
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (36), (13560) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13563) all_4_74 = n10
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (76), (13561) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13564) all_4_77 = n10
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (129), (13563), (13564) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13565) sum(n10, n10) = all_4_99
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REDUCE: (13483), (13562) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13566) sum(n3, n6) = all_4_98
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (45), (13566) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13567) all_4_98 = n9
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.82/65.66 | | | | | | | | | | | | | | | | simplifying with (126), (13565) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | (13568) all_4_99 = n9
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.66 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.82/65.66 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.66 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.66 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.66 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.66 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.66 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.66 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.66 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.66 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.66 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.66 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.66 | | | | | | | | | | | | | | | | (13565), (13567), (13568) are inconsistent by
% 258.82/65.66 | | | | | | | | | | | | | | | | sub-proof #163.
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | Case 2:
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | (13569) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | BETA: splitting (13569) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13570) all_4_100 = n2
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (230), (13570) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13571) pred(n2) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (199), (13570) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13572) succ(n2) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (189), (13572) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13573) all_4_78 = n3
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (220), (13571) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13574) all_4_76 = n1
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (130), (13573), (13574) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13575) sum(n1, n3) = all_4_72
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (13479), (13574) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13576) sum(n1, n8) = all_4_74
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (13481), (13573) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13577) sum(n6, n3) = all_4_77
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (20), (13575) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13578) all_4_72 = n4
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n8, n1,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (25), (13576) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13579) all_4_74 = n9
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n3, n6,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (75), (13577) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13580) all_4_77 = n9
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (129), (13579), (13580) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13581) sum(n9, n9) = all_4_99
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REDUCE: (13483), (13578) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13582) sum(n3, n4) = all_4_98
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n4, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (43), (13582) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13583) all_4_98 = n7
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.82/65.66 | | | | | | | | | | | | | | | | | simplifying with (114), (13581) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13584) all_4_99 = n7
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13581), (13583), (13584) are inconsistent by
% 258.82/65.66 | | | | | | | | | | | | | | | | | sub-proof #85.
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | (13585) all_4_100 = n1 | all_4_100 = n0
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | BETA: splitting (13585) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13586) all_4_100 = n1
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (230), (13586) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13587) pred(n1) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (199), (13586) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13588) succ(n1) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (188), (13588) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13589) all_4_78 = n2
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (219), (13587) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13590) all_4_76 = n0
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (130), (13589), (13590) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13591) sum(n0, n2) = all_4_72
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (13479), (13590) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13592) sum(n0, n8) = all_4_74
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (13481), (13589) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13593) sum(n6, n2) = all_4_77
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (8), (13591) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13594) all_4_72 = n2
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n8, n0,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (14), (13592) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13595) all_4_74 = n8
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n2, n6,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (74), (13593) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13596) all_4_77 = n8
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13595), (13596) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13597) sum(n8, n8) = all_4_99
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (13483), (13594) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13598) sum(n3, n2) = all_4_98
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n2, n3,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (41), (13598) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13599) all_4_98 = n5
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (102), (13597) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13600) all_4_99 = n5
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13597), (13599), (13600) are inconsistent by
% 258.82/65.66 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13601) all_4_100 = n0
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (230), (13601) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13602) pred(n0) = all_4_76
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (199), (13601) imply:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13603) succ(n0) = all_4_78
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (187), (13603) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13604) all_4_78 = n1
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 258.82/65.66 | | | | | | | | | | | | | | | | | | simplifying with (218), (13602) gives:
% 258.82/65.66 | | | | | | | | | | | | | | | | | | (13605) all_4_76 = n10
% 258.82/65.66 | | | | | | | | | | | | | | | | | |
% 258.82/65.66 | | | | | | | | | | | | | | | | | | REDUCE: (130), (13604), (13605) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13606) sum(n10, n1) = all_4_72
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | REDUCE: (13479), (13605) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13607) sum(n10, n8) = all_4_74
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | REDUCE: (13481), (13604) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13608) sum(n6, n1) = all_4_77
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n1, n6,
% 258.82/65.67 | | | | | | | | | | | | | | | | | | simplifying with (73), (13608) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13609) all_4_77 = n7
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 258.82/65.67 | | | | | | | | | | | | | | | | | | simplifying with (117), (13606) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13610) all_4_72 = n0
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n8, n10,
% 258.82/65.67 | | | | | | | | | | | | | | | | | | simplifying with (124), (13607) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13611) all_4_74 = n7
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13609), (13611) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13612) sum(n7, n7) = all_4_99
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | REDUCE: (13483), (13610) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13613) sum(n3, n0) = all_4_98
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n0, n3,
% 258.82/65.67 | | | | | | | | | | | | | | | | | | simplifying with (39), (13613) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13614) all_4_98 = n3
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 258.82/65.67 | | | | | | | | | | | | | | | | | | simplifying with (90), (13612) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13615) all_4_99 = n3
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.67 | | | | | | | | | | | | | | | | | | (13612), (13614), (13615) are inconsistent by
% 258.82/65.67 | | | | | | | | | | | | | | | | | | sub-proof #43.
% 258.82/65.67 | | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | End of split
% 258.82/65.67 | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | Case 2:
% 258.82/65.67 | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | (13616) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 258.82/65.67 | | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.82/65.67 | | | | | | | | | | | all_4_101 = n0
% 258.82/65.67 | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | BETA: splitting (13473) gives:
% 258.82/65.67 | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | Case 1:
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | (13617) all_4_100 = n7
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | REDUCE: (230), (13617) imply:
% 258.82/65.67 | | | | | | | | | | | | (13618) pred(n7) = all_4_76
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | REDUCE: (199), (13617) imply:
% 258.82/65.67 | | | | | | | | | | | | (13619) succ(n7) = all_4_78
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 258.82/65.67 | | | | | | | | | | | | simplifying with (194), (13619) gives:
% 258.82/65.67 | | | | | | | | | | | | (13620) all_4_78 = n8
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 258.82/65.67 | | | | | | | | | | | | simplifying with (225), (13618) gives:
% 258.82/65.67 | | | | | | | | | | | | (13621) all_4_76 = n6
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | REDUCE: (131), (13621) imply:
% 258.82/65.67 | | | | | | | | | | | | (13622) sum(n6, all_4_75) = all_4_74
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | REDUCE: (130), (13620), (13621) imply:
% 258.82/65.67 | | | | | | | | | | | | (13623) sum(n6, n8) = all_4_72
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | REDUCE: (127), (13620) imply:
% 258.82/65.67 | | | | | | | | | | | | (13624) sum(all_4_79, n8) = all_4_77
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 258.82/65.67 | | | | | | | | | | | | simplifying with (80), (13623) gives:
% 258.82/65.67 | | | | | | | | | | | | (13625) all_4_72 = n3
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | REDUCE: (132), (13625) imply:
% 258.82/65.67 | | | | | | | | | | | | (13626) sum(all_4_73, n3) = all_4_98
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | BETA: splitting (13616) gives:
% 258.82/65.67 | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | Case 1:
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | (13627) all_4_101 = n6
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (229), (13627) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13628) pred(n6) = all_4_79
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (198), (13627) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13629) succ(n6) = all_4_75
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (193), (13629) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13630) all_4_75 = n7
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (224), (13628) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13631) all_4_79 = n5
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (128), (13630), (13631) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13632) sum(n5, n7) = all_4_73
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (13624), (13631) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13633) sum(n5, n8) = all_4_77
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (13622), (13630) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13634) sum(n6, n7) = all_4_74
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (68), (13632) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13635) all_4_73 = n1
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n8, n5,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (69), (13633) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13636) all_4_77 = n2
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n7, n6,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (79), (13634) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13637) all_4_74 = n2
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (13626), (13635) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13638) sum(n1, n3) = all_4_98
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REDUCE: (129), (13636), (13637) imply:
% 258.82/65.67 | | | | | | | | | | | | | (13639) sum(n2, n2) = all_4_99
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n3, n1,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (20), (13638) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13640) all_4_98 = n4
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 258.82/65.67 | | | | | | | | | | | | | simplifying with (30), (13639) gives:
% 258.82/65.67 | | | | | | | | | | | | | (13641) all_4_99 = n4
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 258.82/65.67 | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 258.82/65.67 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.67 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.67 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.67 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.67 | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.67 | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.67 | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.67 | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.67 | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.67 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.67 | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.67 | | | | | | | | | | | | | (13639), (13640), (13641) are inconsistent by
% 258.82/65.67 | | | | | | | | | | | | | sub-proof #167.
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | Case 2:
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | (13642) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 258.82/65.67 | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | BETA: splitting (13642) gives:
% 258.82/65.67 | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | Case 1:
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | (13643) all_4_101 = n5
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (229), (13643) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13644) pred(n5) = all_4_79
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (198), (13643) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13645) succ(n5) = all_4_75
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (192), (13645) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13646) all_4_75 = n6
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (223), (13644) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13647) all_4_79 = n4
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (128), (13646), (13647) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13648) sum(n4, n6) = all_4_73
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (13624), (13647) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13649) sum(n4, n8) = all_4_77
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (13622), (13646) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13650) sum(n6, n6) = all_4_74
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (56), (13648) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13651) all_4_73 = n10
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n8, n4,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (58), (13649) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13652) all_4_77 = n1
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n6, n6,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (78), (13650) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13653) all_4_74 = n1
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (13626), (13651) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13654) sum(n10, n3) = all_4_98
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REDUCE: (129), (13652), (13653) imply:
% 258.82/65.67 | | | | | | | | | | | | | | (13655) sum(n1, n1) = all_4_99
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (18), (13655) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13656) all_4_99 = n2
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n3, n10,
% 258.82/65.67 | | | | | | | | | | | | | | simplifying with (119), (13654) gives:
% 258.82/65.67 | | | | | | | | | | | | | | (13657) all_4_98 = n2
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 258.82/65.67 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 258.82/65.67 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.67 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.67 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.67 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.67 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.67 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.67 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.67 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.67 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.67 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.67 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.67 | | | | | | | | | | | | | | (13655), (13656), (13657) are inconsistent by
% 258.82/65.67 | | | | | | | | | | | | | | sub-proof #166.
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | Case 2:
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | (13658) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 258.82/65.67 | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | BETA: splitting (13658) gives:
% 258.82/65.67 | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | Case 1:
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | (13659) all_4_101 = n4
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (229), (13659) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13660) pred(n4) = all_4_79
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (198), (13659) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13661) succ(n4) = all_4_75
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (191), (13661) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13662) all_4_75 = n5
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (222), (13660) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13663) all_4_79 = n3
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (128), (13662), (13663) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13664) sum(n3, n5) = all_4_73
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (13624), (13663) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13665) sum(n3, n8) = all_4_77
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (13622), (13662) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13666) sum(n6, n5) = all_4_74
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (44), (13664) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13667) all_4_73 = n8
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (47), (13665) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13668) all_4_77 = n0
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (77), (13666) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13669) all_4_74 = n0
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (13626), (13667) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13670) sum(n8, n3) = all_4_98
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REDUCE: (129), (13668), (13669) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | (13671) sum(n0, n0) = all_4_99
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (6), (13671) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13672) all_4_99 = n0
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 258.82/65.67 | | | | | | | | | | | | | | | simplifying with (97), (13670) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | (13673) all_4_98 = n0
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 258.82/65.67 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.67 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.67 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.67 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.67 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.67 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 258.82/65.67 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 258.82/65.67 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 258.82/65.67 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 258.82/65.67 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (13336),
% 258.82/65.67 | | | | | | | | | | | | | | | (13671), (13672), (13673) are inconsistent by
% 258.82/65.67 | | | | | | | | | | | | | | | sub-proof #164.
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | Case 2:
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | (13674) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 258.82/65.67 | | | | | | | | | | | | | | | all_4_101 = n0
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | BETA: splitting (13674) gives:
% 258.82/65.67 | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | Case 1:
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | (13675) all_4_101 = n3
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (229), (13675) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13676) pred(n3) = all_4_79
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (198), (13675) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13677) succ(n3) = all_4_75
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (190), (13677) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13678) all_4_75 = n4
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (221), (13676) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13679) all_4_79 = n2
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (128), (13678), (13679) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13680) sum(n2, n4) = all_4_73
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (13624), (13679) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13681) sum(n2, n8) = all_4_77
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (13622), (13678) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13682) sum(n6, n4) = all_4_74
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (32), (13680) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13683) all_4_73 = n6
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (36), (13681) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13684) all_4_77 = n10
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (76), (13682) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13685) all_4_74 = n10
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (13626), (13683) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13686) sum(n6, n3) = all_4_98
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REDUCE: (129), (13684), (13685) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13687) sum(n10, n10) = all_4_99
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (75), (13686) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13688) all_4_98 = n9
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 258.82/65.67 | | | | | | | | | | | | | | | | simplifying with (126), (13687) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | (13689) all_4_99 = n9
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.67 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 258.82/65.67 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.67 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.67 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.67 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.67 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.67 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.67 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.67 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.67 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.67 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.67 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.67 | | | | | | | | | | | | | | | | (13687), (13688), (13689) are inconsistent by
% 258.82/65.67 | | | | | | | | | | | | | | | | sub-proof #163.
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | Case 2:
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | (13690) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | BETA: splitting (13690) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.67 | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | (13691) all_4_101 = n2
% 258.82/65.67 | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | REDUCE: (229), (13691) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | (13692) pred(n2) = all_4_79
% 258.82/65.67 | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | REDUCE: (198), (13691) imply:
% 258.82/65.67 | | | | | | | | | | | | | | | | | (13693) succ(n2) = all_4_75
% 258.82/65.67 | | | | | | | | | | | | | | | | |
% 258.82/65.67 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 258.82/65.67 | | | | | | | | | | | | | | | | | simplifying with (189), (13693) gives:
% 258.82/65.67 | | | | | | | | | | | | | | | | | (13694) all_4_75 = n3
% 258.82/65.67 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 258.82/65.68 | | | | | | | | | | | | | | | | | simplifying with (220), (13692) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13695) all_4_79 = n1
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | REDUCE: (128), (13694), (13695) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13696) sum(n1, n3) = all_4_73
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | REDUCE: (13624), (13695) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13697) sum(n1, n8) = all_4_77
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | REDUCE: (13622), (13694) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13698) sum(n6, n3) = all_4_74
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 258.82/65.68 | | | | | | | | | | | | | | | | | simplifying with (20), (13696) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13699) all_4_73 = n4
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n8, n1,
% 258.82/65.68 | | | | | | | | | | | | | | | | | simplifying with (25), (13697) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13700) all_4_77 = n9
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n3, n6,
% 258.82/65.68 | | | | | | | | | | | | | | | | | simplifying with (75), (13698) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13701) all_4_74 = n9
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | REDUCE: (13626), (13699) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13702) sum(n4, n3) = all_4_98
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | REDUCE: (129), (13700), (13701) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13703) sum(n9, n9) = all_4_99
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n3, n4,
% 258.82/65.68 | | | | | | | | | | | | | | | | | simplifying with (53), (13702) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13704) all_4_98 = n7
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 258.82/65.68 | | | | | | | | | | | | | | | | | simplifying with (114), (13703) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13705) all_4_99 = n7
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13703), (13704), (13705) are inconsistent by
% 258.82/65.68 | | | | | | | | | | | | | | | | | sub-proof #85.
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | (13706) all_4_101 = n1 | all_4_101 = n0
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | BETA: splitting (13706) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | Case 1:
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13707) all_4_101 = n1
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (229), (13707) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13708) pred(n1) = all_4_79
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (198), (13707) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13709) succ(n1) = all_4_75
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (188), (13709) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13710) all_4_75 = n2
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (219), (13708) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13711) all_4_79 = n0
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (128), (13710), (13711) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13712) sum(n0, n2) = all_4_73
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (13624), (13711) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13713) sum(n0, n8) = all_4_77
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (13622), (13710) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13714) sum(n6, n2) = all_4_74
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (8), (13712) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13715) all_4_73 = n2
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n8, n0,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (14), (13713) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13716) all_4_77 = n8
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n2, n6,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (74), (13714) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13717) all_4_74 = n8
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (13626), (13715) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13718) sum(n2, n3) = all_4_98
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13716), (13717) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13719) sum(n8, n8) = all_4_99
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n3, n2,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (31), (13718) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13720) all_4_98 = n5
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (102), (13719) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13721) all_4_99 = n5
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13719), (13720), (13721) are inconsistent by
% 258.82/65.68 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | Case 2:
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13722) all_4_101 = n0
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (229), (13722) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13723) pred(n0) = all_4_79
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (198), (13722) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13724) succ(n0) = all_4_75
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (187), (13724) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13725) all_4_75 = n1
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (218), (13723) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13726) all_4_79 = n10
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (128), (13725), (13726) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13727) sum(n10, n1) = all_4_73
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (13624), (13726) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13728) sum(n10, n8) = all_4_77
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (13622), (13725) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13729) sum(n6, n1) = all_4_74
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n1, n6,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (73), (13729) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13730) all_4_74 = n7
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (117), (13727) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13731) all_4_73 = n0
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n8, n10,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (124), (13728) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13732) all_4_77 = n7
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (13626), (13731) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13733) sum(n0, n3) = all_4_98
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13730), (13732) imply:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13734) sum(n7, n7) = all_4_99
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n3, n0,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (9), (13733) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13735) all_4_98 = n3
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 258.82/65.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 258.82/65.68 | | | | | | | | | | | | | | | | | | simplifying with (90), (13734) gives:
% 258.82/65.68 | | | | | | | | | | | | | | | | | | (13736) all_4_99 = n3
% 258.82/65.68 | | | | | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.07/65.68 | | | | | | | | | | | | | | | | | | (13734), (13735), (13736) are inconsistent by
% 259.07/65.68 | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.07/65.68 | | | | | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | | | | End of split
% 259.07/65.68 | | | | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | | | End of split
% 259.07/65.68 | | | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | | End of split
% 259.07/65.68 | | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | End of split
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | End of split
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | End of split
% 259.07/65.68 | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | Case 2:
% 259.07/65.68 | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | (13737) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 259.07/65.68 | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.07/65.68 | | | | | | | | | | | | all_4_100 = n0
% 259.07/65.68 | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | BETA: splitting (13616) gives:
% 259.07/65.68 | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | Case 1:
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | (13738) all_4_101 = n6
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | REDUCE: (229), (13738) imply:
% 259.07/65.68 | | | | | | | | | | | | | (13739) pred(n6) = all_4_79
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | REDUCE: (198), (13738) imply:
% 259.07/65.68 | | | | | | | | | | | | | (13740) succ(n6) = all_4_75
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.07/65.68 | | | | | | | | | | | | | simplifying with (193), (13740) gives:
% 259.07/65.68 | | | | | | | | | | | | | (13741) all_4_75 = n7
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.07/65.68 | | | | | | | | | | | | | simplifying with (224), (13739) gives:
% 259.07/65.68 | | | | | | | | | | | | | (13742) all_4_79 = n5
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | REDUCE: (131), (13741) imply:
% 259.07/65.68 | | | | | | | | | | | | | (13743) sum(all_4_76, n7) = all_4_74
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | REDUCE: (128), (13741), (13742) imply:
% 259.07/65.68 | | | | | | | | | | | | | (13744) sum(n5, n7) = all_4_73
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | REDUCE: (127), (13742) imply:
% 259.07/65.68 | | | | | | | | | | | | | (13745) sum(n5, all_4_78) = all_4_77
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.07/65.68 | | | | | | | | | | | | | simplifying with (68), (13744) gives:
% 259.07/65.68 | | | | | | | | | | | | | (13746) all_4_73 = n1
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | REDUCE: (132), (13746) imply:
% 259.07/65.68 | | | | | | | | | | | | | (13747) sum(n1, all_4_72) = all_4_98
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | BETA: splitting (13737) gives:
% 259.07/65.68 | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | Case 1:
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | (13748) all_4_100 = n6
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (230), (13748) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13749) pred(n6) = all_4_76
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (199), (13748) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13750) succ(n6) = all_4_78
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (193), (13750) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13751) all_4_78 = n7
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (224), (13749) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13752) all_4_76 = n5
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (130), (13751), (13752) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13753) sum(n5, n7) = all_4_72
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (13743), (13752) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13754) sum(n5, n7) = all_4_74
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (13745), (13751) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13755) sum(n5, n7) = all_4_77
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n7, n5,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (68), (13754) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13756) all_4_74 = n1
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n7, n5,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (13753), (13754) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13757) all_4_72 = all_4_74
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n7, n5,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (13753), (13755) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13758) all_4_72 = all_4_77
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | COMBINE_EQS: (13757), (13758) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13759) all_4_74 = all_4_77
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | SIMP: (13759) implies:
% 259.07/65.68 | | | | | | | | | | | | | | (13760) all_4_74 = all_4_77
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | COMBINE_EQS: (13756), (13760) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13761) all_4_77 = n1
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | COMBINE_EQS: (13758), (13761) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13762) all_4_72 = n1
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (129), (13756), (13761) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13763) sum(n1, n1) = all_4_99
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | REDUCE: (13747), (13762) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13764) sum(n1, n1) = all_4_98
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n1, n1,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (18), (13764) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13765) all_4_98 = n2
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n1, n1,
% 259.07/65.68 | | | | | | | | | | | | | | simplifying with (13763), (13764) gives:
% 259.07/65.68 | | | | | | | | | | | | | | (13766) all_4_98 = all_4_99
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | COMBINE_EQS: (13765), (13766) imply:
% 259.07/65.68 | | | | | | | | | | | | | | (13767) all_4_99 = n2
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.68 | | | | | | | | | | | | | | SIMP: (13767) implies:
% 259.07/65.68 | | | | | | | | | | | | | | (13768) all_4_99 = n2
% 259.07/65.68 | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.07/65.69 | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.07/65.69 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.07/65.69 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.07/65.69 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.07/65.69 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.07/65.69 | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.07/65.69 | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.07/65.69 | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.07/65.69 | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.07/65.69 | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.07/65.69 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.07/65.69 | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.07/65.69 | | | | | | | | | | | | | | (13763), (13765), (13768) are inconsistent by
% 259.07/65.69 | | | | | | | | | | | | | | sub-proof #166.
% 259.07/65.69 | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | Case 2:
% 259.07/65.69 | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | (13769) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.07/65.69 | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.07/65.69 | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | BETA: splitting (13769) gives:
% 259.07/65.69 | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | Case 1:
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | (13770) all_4_100 = n5
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (230), (13770) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13771) pred(n5) = all_4_76
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (199), (13770) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13772) succ(n5) = all_4_78
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (192), (13772) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13773) all_4_78 = n6
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (223), (13771) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13774) all_4_76 = n4
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (130), (13773), (13774) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13775) sum(n4, n6) = all_4_72
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (13743), (13774) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13776) sum(n4, n7) = all_4_74
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (13745), (13773) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13777) sum(n5, n6) = all_4_77
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (56), (13775) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13778) all_4_72 = n10
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (57), (13776) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13779) all_4_74 = n0
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (67), (13777) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13780) all_4_77 = n0
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (129), (13779), (13780) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13781) sum(n0, n0) = all_4_99
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REDUCE: (13747), (13778) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | (13782) sum(n1, n10) = all_4_98
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (6), (13781) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13783) all_4_99 = n0
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 259.07/65.69 | | | | | | | | | | | | | | | simplifying with (27), (13782) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | (13784) all_4_98 = n0
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.07/65.69 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.07/65.69 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.07/65.69 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.07/65.69 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.07/65.69 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.07/65.69 | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 259.07/65.69 | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 259.07/65.69 | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 259.07/65.69 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.07/65.69 | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (13336),
% 259.07/65.69 | | | | | | | | | | | | | | | (13781), (13783), (13784) are inconsistent by
% 259.07/65.69 | | | | | | | | | | | | | | | sub-proof #164.
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | Case 2:
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | (13785) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.07/65.69 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | BETA: splitting (13785) gives:
% 259.07/65.69 | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | Case 1:
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | (13786) all_4_100 = n4
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | REDUCE: (230), (13786) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13787) pred(n4) = all_4_76
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | REDUCE: (199), (13786) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13788) succ(n4) = all_4_78
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.07/65.69 | | | | | | | | | | | | | | | | simplifying with (191), (13788) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13789) all_4_78 = n5
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.07/65.69 | | | | | | | | | | | | | | | | simplifying with (222), (13787) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13790) all_4_76 = n3
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | REDUCE: (130), (13789), (13790) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13791) sum(n3, n5) = all_4_72
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | REDUCE: (13743), (13790) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13792) sum(n3, n7) = all_4_74
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | REDUCE: (13745), (13789) imply:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13793) sum(n5, n5) = all_4_77
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.07/65.69 | | | | | | | | | | | | | | | | simplifying with (44), (13791) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13794) all_4_72 = n8
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 259.07/65.69 | | | | | | | | | | | | | | | | simplifying with (46), (13792) gives:
% 259.07/65.69 | | | | | | | | | | | | | | | | (13795) all_4_74 = n10
% 259.07/65.69 | | | | | | | | | | | | | | | |
% 259.07/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 259.09/65.69 | | | | | | | | | | | | | | | | simplifying with (66), (13793) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | (13796) all_4_77 = n10
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | REDUCE: (129), (13795), (13796) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | (13797) sum(n10, n10) = all_4_99
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | REDUCE: (13747), (13794) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | (13798) sum(n1, n8) = all_4_98
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | simplifying with (25), (13798) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | (13799) all_4_98 = n9
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.09/65.69 | | | | | | | | | | | | | | | | simplifying with (126), (13797) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | (13800) all_4_99 = n9
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.09/65.69 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.09/65.69 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.69 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.69 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.69 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.69 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.69 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.09/65.69 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.09/65.69 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.69 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.09/65.69 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.69 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.09/65.69 | | | | | | | | | | | | | | | | (13797), (13799), (13800) are inconsistent by
% 259.09/65.69 | | | | | | | | | | | | | | | | sub-proof #163.
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | Case 2:
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | (13801) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.09/65.69 | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | BETA: splitting (13801) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | Case 1:
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13802) all_4_100 = n3
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (230), (13802) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13803) pred(n3) = all_4_76
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (199), (13802) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13804) succ(n3) = all_4_78
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (190), (13804) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13805) all_4_78 = n4
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (221), (13803) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13806) all_4_76 = n2
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (130), (13805), (13806) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13807) sum(n2, n4) = all_4_72
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (13743), (13806) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13808) sum(n2, n7) = all_4_74
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (13745), (13805) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13809) sum(n5, n4) = all_4_77
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (32), (13807) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13810) all_4_72 = n6
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n7, n2,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (35), (13808) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13811) all_4_74 = n9
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n4, n5,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (65), (13809) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13812) all_4_77 = n9
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (129), (13811), (13812) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13813) sum(n9, n9) = all_4_99
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REDUCE: (13747), (13810) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13814) sum(n1, n6) = all_4_98
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n6, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (23), (13814) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13815) all_4_98 = n7
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.09/65.69 | | | | | | | | | | | | | | | | | simplifying with (114), (13813) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13816) all_4_99 = n7
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13813), (13815), (13816) are inconsistent by
% 259.09/65.69 | | | | | | | | | | | | | | | | | sub-proof #85.
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | Case 2:
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | (13817) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | BETA: splitting (13817) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | Case 1:
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13818) all_4_100 = n2
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (230), (13818) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13819) pred(n2) = all_4_76
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (199), (13818) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13820) succ(n2) = all_4_78
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (189), (13820) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13821) all_4_78 = n3
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (220), (13819) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13822) all_4_76 = n1
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (130), (13821), (13822) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13823) sum(n1, n3) = all_4_72
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (13743), (13822) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13824) sum(n1, n7) = all_4_74
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (13745), (13821) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13825) sum(n5, n3) = all_4_77
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (20), (13823) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13826) all_4_72 = n4
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n7, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (24), (13824) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13827) all_4_74 = n8
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n3, n5,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (64), (13825) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13828) all_4_77 = n8
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13827), (13828) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13829) sum(n8, n8) = all_4_99
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REDUCE: (13747), (13826) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13830) sum(n1, n4) = all_4_98
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n4, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (21), (13830) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13831) all_4_98 = n5
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | simplifying with (102), (13829) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13832) all_4_99 = n5
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13829), (13831), (13832) are inconsistent by
% 259.09/65.69 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | Case 2:
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | (13833) all_4_100 = n1 | all_4_100 = n0
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | BETA: splitting (13833) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | Case 1:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13834) all_4_100 = n1
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13834) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13835) pred(n1) = all_4_76
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13834) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13836) succ(n1) = all_4_78
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (188), (13836) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13837) all_4_78 = n2
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (219), (13835) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13838) all_4_76 = n0
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13837), (13838) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13839) sum(n0, n2) = all_4_72
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (13743), (13838) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13840) sum(n0, n7) = all_4_74
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (13745), (13837) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13841) sum(n5, n2) = all_4_77
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (8), (13839) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13842) all_4_72 = n2
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n7, n0,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (13), (13840) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13843) all_4_74 = n7
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n2, n5,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (63), (13841) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13844) all_4_77 = n7
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13843), (13844) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13845) sum(n7, n7) = all_4_99
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (13747), (13842) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13846) sum(n1, n2) = all_4_98
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n2, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (19), (13846) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13847) all_4_98 = n3
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (90), (13845) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13848) all_4_99 = n3
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13845), (13847), (13848) are inconsistent by
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | Case 2:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13849) all_4_100 = n0
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (13849) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13850) pred(n0) = all_4_76
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (13849) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13851) succ(n0) = all_4_78
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (187), (13851) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13852) all_4_78 = n1
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (218), (13850) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13853) all_4_76 = n10
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (13852), (13853) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13854) sum(n10, n1) = all_4_72
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (13743), (13853) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13855) sum(n10, n7) = all_4_74
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (13745), (13852) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13856) sum(n5, n1) = all_4_77
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n1, n5,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (62), (13856) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13857) all_4_77 = n6
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (117), (13854) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13858) all_4_72 = n0
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n7, n10,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (123), (13855) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13859) all_4_74 = n6
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13857), (13859) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13860) sum(n6, n6) = all_4_99
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | REDUCE: (13747), (13858) imply:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13861) sum(n1, n0) = all_4_98
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n0, n1,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (17), (13861) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13862) all_4_98 = n1
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | simplifying with (78), (13860) gives:
% 259.09/65.69 | | | | | | | | | | | | | | | | | | | (13863) all_4_99 = n1
% 259.09/65.69 | | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | (13860), (13862), (13863) are inconsistent by
% 259.09/65.70 | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.09/65.70 | | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | End of split
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | End of split
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | End of split
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | End of split
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | End of split
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | End of split
% 259.09/65.70 | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | Case 2:
% 259.09/65.70 | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | (13864) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.09/65.70 | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.09/65.70 | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | BETA: splitting (13737) gives:
% 259.09/65.70 | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | Case 1:
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | (13865) all_4_100 = n6
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | REDUCE: (230), (13865) imply:
% 259.09/65.70 | | | | | | | | | | | | | | (13866) pred(n6) = all_4_76
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | REDUCE: (199), (13865) imply:
% 259.09/65.70 | | | | | | | | | | | | | | (13867) succ(n6) = all_4_78
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.09/65.70 | | | | | | | | | | | | | | simplifying with (193), (13867) gives:
% 259.09/65.70 | | | | | | | | | | | | | | (13868) all_4_78 = n7
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.09/65.70 | | | | | | | | | | | | | | simplifying with (224), (13866) gives:
% 259.09/65.70 | | | | | | | | | | | | | | (13869) all_4_76 = n5
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | REDUCE: (131), (13869) imply:
% 259.09/65.70 | | | | | | | | | | | | | | (13870) sum(n5, all_4_75) = all_4_74
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | REDUCE: (130), (13868), (13869) imply:
% 259.09/65.70 | | | | | | | | | | | | | | (13871) sum(n5, n7) = all_4_72
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | REDUCE: (127), (13868) imply:
% 259.09/65.70 | | | | | | | | | | | | | | (13872) sum(all_4_79, n7) = all_4_77
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.09/65.70 | | | | | | | | | | | | | | simplifying with (68), (13871) gives:
% 259.09/65.70 | | | | | | | | | | | | | | (13873) all_4_72 = n1
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | REDUCE: (132), (13873) imply:
% 259.09/65.70 | | | | | | | | | | | | | | (13874) sum(all_4_73, n1) = all_4_98
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | BETA: splitting (13864) gives:
% 259.09/65.70 | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | Case 1:
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | (13875) all_4_101 = n5
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (229), (13875) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13876) pred(n5) = all_4_79
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (198), (13875) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13877) succ(n5) = all_4_75
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (192), (13877) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13878) all_4_75 = n6
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (223), (13876) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13879) all_4_79 = n4
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (128), (13878), (13879) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13880) sum(n4, n6) = all_4_73
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (13872), (13879) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13881) sum(n4, n7) = all_4_77
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (13870), (13878) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13882) sum(n5, n6) = all_4_74
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (56), (13880) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13883) all_4_73 = n10
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n7, n4,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (57), (13881) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13884) all_4_77 = n0
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n6, n5,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (67), (13882) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13885) all_4_74 = n0
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (13874), (13883) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13886) sum(n10, n1) = all_4_98
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (129), (13884), (13885) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13887) sum(n0, n0) = all_4_99
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (6), (13887) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13888) all_4_99 = n0
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n1, n10,
% 259.09/65.70 | | | | | | | | | | | | | | | simplifying with (117), (13886) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | (13889) all_4_98 = n0
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (232), (13889) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13890) pred(n0) = all_4_68
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (231), (13888) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13891) pred(n0) = all_4_71
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (201), (13889) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13892) succ(n0) = all_4_70
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REDUCE: (200), (13888) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | (13893) succ(n0) = all_4_67
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.09/65.70 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.70 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.70 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.70 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.70 | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.70 | | | | | | | | | | | | | | | (172), (173), (174), (187), (202), (203), (204),
% 259.09/65.70 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.09/65.70 | | | | | | | | | | | | | | | (212), (213), (218), (233), (234), (235), (236),
% 259.09/65.70 | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 259.09/65.70 | | | | | | | | | | | | | | | (244), (13336), (13887), (13888), (13890),
% 259.09/65.70 | | | | | | | | | | | | | | | (13891), (13892), (13893) are inconsistent by
% 259.09/65.70 | | | | | | | | | | | | | | | sub-proof #165.
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | Case 2:
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | (13894) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.09/65.70 | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | BETA: splitting (13894) gives:
% 259.09/65.70 | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | Case 1:
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | (13895) all_4_101 = n4
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (229), (13895) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13896) pred(n4) = all_4_79
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (198), (13895) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13897) succ(n4) = all_4_75
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (191), (13897) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13898) all_4_75 = n5
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (222), (13896) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13899) all_4_79 = n3
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (128), (13898), (13899) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13900) sum(n3, n5) = all_4_73
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (13872), (13899) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13901) sum(n3, n7) = all_4_77
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (13870), (13898) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13902) sum(n5, n5) = all_4_74
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (44), (13900) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13903) all_4_73 = n8
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (46), (13901) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13904) all_4_77 = n10
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (66), (13902) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13905) all_4_74 = n10
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (13874), (13903) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13906) sum(n8, n1) = all_4_98
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REDUCE: (129), (13904), (13905) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13907) sum(n10, n10) = all_4_99
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (95), (13906) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13908) all_4_98 = n9
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.09/65.70 | | | | | | | | | | | | | | | | simplifying with (126), (13907) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | (13909) all_4_99 = n9
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.09/65.70 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.09/65.70 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.70 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.70 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.70 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.70 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.70 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.09/65.70 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.09/65.70 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.70 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.09/65.70 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.70 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.09/65.70 | | | | | | | | | | | | | | | | (13907), (13908), (13909) are inconsistent by
% 259.09/65.70 | | | | | | | | | | | | | | | | sub-proof #163.
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | Case 2:
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | (13910) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.09/65.70 | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | BETA: splitting (13910) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | Case 1:
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13911) all_4_101 = n3
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (229), (13911) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13912) pred(n3) = all_4_79
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (198), (13911) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13913) succ(n3) = all_4_75
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (190), (13913) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13914) all_4_75 = n4
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (221), (13912) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13915) all_4_79 = n2
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (128), (13914), (13915) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13916) sum(n2, n4) = all_4_73
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (13872), (13915) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13917) sum(n2, n7) = all_4_77
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (13870), (13914) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13918) sum(n5, n4) = all_4_74
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (32), (13916) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13919) all_4_73 = n6
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n7, n2,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (35), (13917) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13920) all_4_77 = n9
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n4, n5,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (65), (13918) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13921) all_4_74 = n9
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (13874), (13919) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13922) sum(n6, n1) = all_4_98
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REDUCE: (129), (13920), (13921) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13923) sum(n9, n9) = all_4_99
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n1, n6,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (73), (13922) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13924) all_4_98 = n7
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.09/65.70 | | | | | | | | | | | | | | | | | simplifying with (114), (13923) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13925) all_4_99 = n7
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13923), (13924), (13925) are inconsistent by
% 259.09/65.70 | | | | | | | | | | | | | | | | | sub-proof #85.
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | Case 2:
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | (13926) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | BETA: splitting (13926) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | Case 1:
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13927) all_4_101 = n2
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (229), (13927) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13928) pred(n2) = all_4_79
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (198), (13927) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13929) succ(n2) = all_4_75
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (189), (13929) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13930) all_4_75 = n3
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (220), (13928) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13931) all_4_79 = n1
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (128), (13930), (13931) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13932) sum(n1, n3) = all_4_73
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (13872), (13931) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13933) sum(n1, n7) = all_4_77
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (13870), (13930) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13934) sum(n5, n3) = all_4_74
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (20), (13932) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13935) all_4_73 = n4
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n7, n1,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (24), (13933) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13936) all_4_77 = n8
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n3, n5,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (64), (13934) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13937) all_4_74 = n8
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (13874), (13935) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13938) sum(n4, n1) = all_4_98
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | REDUCE: (129), (13936), (13937) imply:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13939) sum(n8, n8) = all_4_99
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n1, n4,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (51), (13938) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13940) all_4_98 = n5
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.09/65.70 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.09/65.70 | | | | | | | | | | | | | | | | | | simplifying with (102), (13939) gives:
% 259.09/65.70 | | | | | | | | | | | | | | | | | | (13941) all_4_99 = n5
% 259.09/65.70 | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (13939), (13940), (13941) are inconsistent by
% 259.12/65.70 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 259.12/65.70 | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | Case 2:
% 259.12/65.70 | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | (13942) all_4_101 = n1 | all_4_101 = n0
% 259.12/65.70 | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | BETA: splitting (13942) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | Case 1:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13943) all_4_101 = n1
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (13943) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13944) pred(n1) = all_4_79
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (13943) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13945) succ(n1) = all_4_75
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (188), (13945) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13946) all_4_75 = n2
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (219), (13944) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13947) all_4_79 = n0
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (13946), (13947) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13948) sum(n0, n2) = all_4_73
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (13872), (13947) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13949) sum(n0, n7) = all_4_77
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (13870), (13946) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13950) sum(n5, n2) = all_4_74
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (8), (13948) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13951) all_4_73 = n2
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n7, n0,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (13), (13949) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13952) all_4_77 = n7
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n2, n5,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (63), (13950) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13953) all_4_74 = n7
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (13874), (13951) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13954) sum(n2, n1) = all_4_98
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13952), (13953) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13955) sum(n7, n7) = all_4_99
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n1, n2,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (29), (13954) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13956) all_4_98 = n3
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (90), (13955) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13957) all_4_99 = n3
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13955), (13956), (13957) are inconsistent by
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | Case 2:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13958) all_4_101 = n0
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (13958) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13959) pred(n0) = all_4_79
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (13958) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13960) succ(n0) = all_4_75
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (187), (13960) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13961) all_4_75 = n1
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (218), (13959) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13962) all_4_79 = n10
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (13961), (13962) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13963) sum(n10, n1) = all_4_73
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (13872), (13962) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13964) sum(n10, n7) = all_4_77
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | REDUCE: (13870), (13961) imply:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13965) sum(n5, n1) = all_4_74
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n1, n5,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (62), (13965) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13966) all_4_74 = n6
% 259.12/65.70 | | | | | | | | | | | | | | | | | | |
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | simplifying with (117), (13963) gives:
% 259.12/65.70 | | | | | | | | | | | | | | | | | | | (13967) all_4_73 = n0
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n7, n10,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (123), (13964) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (13968) all_4_77 = n6
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (13874), (13967) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (13969) sum(n0, n1) = all_4_98
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (13966), (13968) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (13970) sum(n6, n6) = all_4_99
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n1, n0,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (7), (13969) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (13971) all_4_98 = n1
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (78), (13970) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (13972) all_4_99 = n1
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | (13970), (13971), (13972) are inconsistent by
% 259.12/65.71 | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.12/65.71 | | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | End of split
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | End of split
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | End of split
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | End of split
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | End of split
% 259.12/65.71 | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | Case 2:
% 259.12/65.71 | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | (13973) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.12/65.71 | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.12/65.71 | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | BETA: splitting (13864) gives:
% 259.12/65.71 | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | Case 1:
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | (13974) all_4_101 = n5
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | REDUCE: (229), (13974) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | (13975) pred(n5) = all_4_79
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | REDUCE: (198), (13974) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | (13976) succ(n5) = all_4_75
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.12/65.71 | | | | | | | | | | | | | | | simplifying with (192), (13976) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | (13977) all_4_75 = n6
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.12/65.71 | | | | | | | | | | | | | | | simplifying with (223), (13975) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | (13978) all_4_79 = n4
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | REDUCE: (131), (13977) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | (13979) sum(all_4_76, n6) = all_4_74
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | REDUCE: (128), (13977), (13978) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | (13980) sum(n4, n6) = all_4_73
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | REDUCE: (127), (13978) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | (13981) sum(n4, all_4_78) = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | simplifying with (56), (13980) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | (13982) all_4_73 = n10
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | REDUCE: (132), (13982) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | (13983) sum(n10, all_4_72) = all_4_98
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | BETA: splitting (13973) gives:
% 259.12/65.71 | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | Case 1:
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | (13984) all_4_100 = n5
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (230), (13984) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13985) pred(n5) = all_4_76
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (199), (13984) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13986) succ(n5) = all_4_78
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.12/65.71 | | | | | | | | | | | | | | | | simplifying with (192), (13986) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13987) all_4_78 = n6
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.12/65.71 | | | | | | | | | | | | | | | | simplifying with (223), (13985) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13988) all_4_76 = n4
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (130), (13987), (13988) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13989) sum(n4, n6) = all_4_72
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (13979), (13988) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13990) sum(n4, n6) = all_4_74
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (13981), (13987) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13991) sum(n4, n6) = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | simplifying with (56), (13990) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13992) all_4_74 = n10
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | simplifying with (13989), (13990) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13993) all_4_72 = all_4_74
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | simplifying with (13989), (13991) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13994) all_4_72 = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (13993), (13994) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13995) all_4_74 = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | SIMP: (13995) implies:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13996) all_4_74 = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (13992), (13996) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13997) all_4_77 = n10
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (13994), (13997) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13998) all_4_72 = n10
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (129), (13992), (13997) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (13999) sum(n10, n10) = all_4_99
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REDUCE: (13983), (13998) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (14000) sum(n10, n10) = all_4_98
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 259.12/65.71 | | | | | | | | | | | | | | | | simplifying with (126), (14000) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (14001) all_4_98 = n9
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 259.12/65.71 | | | | | | | | | | | | | | | | n10, simplifying with (13999), (14000) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | (14002) all_4_98 = all_4_99
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (14001), (14002) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | (14003) all_4_99 = n9
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | SIMP: (14003) implies:
% 259.12/65.71 | | | | | | | | | | | | | | | | (14004) all_4_99 = n9
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.12/65.71 | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.12/65.71 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.12/65.71 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.12/65.71 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.12/65.71 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.12/65.71 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.12/65.71 | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.12/65.71 | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.12/65.71 | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.12/65.71 | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.12/65.71 | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.12/65.71 | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.12/65.71 | | | | | | | | | | | | | | | | (13999), (14001), (14004) are inconsistent by
% 259.12/65.71 | | | | | | | | | | | | | | | | sub-proof #163.
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | Case 2:
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | (14005) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.12/65.71 | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | BETA: splitting (14005) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | Case 1:
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14006) all_4_100 = n4
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (230), (14006) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14007) pred(n4) = all_4_76
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (199), (14006) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14008) succ(n4) = all_4_78
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (191), (14008) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14009) all_4_78 = n5
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (222), (14007) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14010) all_4_76 = n3
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (130), (14009), (14010) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14011) sum(n3, n5) = all_4_72
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (13979), (14010) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14012) sum(n3, n6) = all_4_74
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (13981), (14009) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14013) sum(n4, n5) = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (44), (14011) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14014) all_4_72 = n8
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n6, n3,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (45), (14012) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14015) all_4_74 = n9
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n5, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (55), (14013) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14016) all_4_77 = n9
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (129), (14015), (14016) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14017) sum(n9, n9) = all_4_99
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REDUCE: (13983), (14014) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14018) sum(n10, n8) = all_4_98
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (114), (14017) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14019) all_4_99 = n7
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n8, n10,
% 259.12/65.71 | | | | | | | | | | | | | | | | | simplifying with (124), (14018) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14020) all_4_98 = n7
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14017), (14019), (14020) are inconsistent by
% 259.12/65.71 | | | | | | | | | | | | | | | | | sub-proof #85.
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | Case 2:
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | (14021) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.12/65.71 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | BETA: splitting (14021) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | Case 1:
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14022) all_4_100 = n3
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (230), (14022) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14023) pred(n3) = all_4_76
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (199), (14022) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14024) succ(n3) = all_4_78
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (190), (14024) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14025) all_4_78 = n4
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (221), (14023) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14026) all_4_76 = n2
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (130), (14025), (14026) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14027) sum(n2, n4) = all_4_72
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (13979), (14026) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14028) sum(n2, n6) = all_4_74
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (13981), (14025) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14029) sum(n4, n4) = all_4_77
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (32), (14027) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14030) all_4_72 = n6
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n6, n2,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (34), (14028) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14031) all_4_74 = n8
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n4, n4,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (54), (14029) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14032) all_4_77 = n8
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (129), (14031), (14032) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14033) sum(n8, n8) = all_4_99
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | REDUCE: (13983), (14030) imply:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14034) sum(n10, n6) = all_4_98
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (102), (14033) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14035) all_4_99 = n5
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.12/65.71 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n6, n10,
% 259.12/65.71 | | | | | | | | | | | | | | | | | | simplifying with (122), (14034) gives:
% 259.12/65.71 | | | | | | | | | | | | | | | | | | (14036) all_4_98 = n5
% 259.12/65.71 | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (14033), (14035), (14036) are inconsistent by
% 259.13/65.71 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 259.13/65.71 | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.71 | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | (14037) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.13/65.71 | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | BETA: splitting (14037) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14038) all_4_100 = n2
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14038) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14039) pred(n2) = all_4_76
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14038) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14040) succ(n2) = all_4_78
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (189), (14040) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14041) all_4_78 = n3
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (220), (14039) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14042) all_4_76 = n1
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14041), (14042) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14043) sum(n1, n3) = all_4_72
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (13979), (14042) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14044) sum(n1, n6) = all_4_74
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (13981), (14041) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14045) sum(n4, n3) = all_4_77
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (20), (14043) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14046) all_4_72 = n4
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n6, n1,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (23), (14044) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14047) all_4_74 = n7
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n3, n4,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (53), (14045) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14048) all_4_77 = n7
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14047), (14048) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14049) sum(n7, n7) = all_4_99
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REDUCE: (13983), (14046) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14050) sum(n10, n4) = all_4_98
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (90), (14049) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14051) all_4_99 = n3
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n4, n10,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | simplifying with (120), (14050) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14052) all_4_98 = n3
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14049), (14051), (14052) are inconsistent by
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | (14053) all_4_100 = n1 | all_4_100 = n0
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (14053) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14054) all_4_100 = n1
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14054) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14055) pred(n1) = all_4_76
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14054) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14056) succ(n1) = all_4_78
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14056) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14057) all_4_78 = n2
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14055) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14058) all_4_76 = n0
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14057), (14058) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14059) sum(n0, n2) = all_4_72
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (13979), (14058) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14060) sum(n0, n6) = all_4_74
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (13981), (14057) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14061) sum(n4, n2) = all_4_77
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14059) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14062) all_4_72 = n2
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n6, n0,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (12), (14060) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14063) all_4_74 = n6
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n2, n4,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (52), (14061) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14064) all_4_77 = n6
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14063), (14064) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14065) sum(n6, n6) = all_4_99
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (13983), (14062) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14066) sum(n10, n2) = all_4_98
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (14065) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14067) all_4_99 = n1
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n2, n10,
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | simplifying with (118), (14066) gives:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14068) all_4_98 = n1
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14065), (14067), (14068) are inconsistent by
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14069) all_4_100 = n0
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14069) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14070) pred(n0) = all_4_76
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14069) imply:
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | | (14071) succ(n0) = all_4_78
% 259.13/65.71 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14071) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14072) all_4_78 = n1
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14070) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14073) all_4_76 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14072), (14073) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14074) sum(n10, n1) = all_4_72
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (13979), (14073) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14075) sum(n10, n6) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (13981), (14072) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14076) sum(n4, n1) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n1, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (51), (14076) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14077) all_4_77 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14074) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14078) all_4_72 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n6, n10,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (122), (14075) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14079) all_4_74 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14077), (14079) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14080) sum(n5, n5) = all_4_99
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (13983), (14078) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14081) sum(n10, n0) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (14080) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14082) all_4_99 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n0, n10,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (116), (14081) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14083) all_4_98 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14080), (14082), (14083) are inconsistent by
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | Case 2:
% 259.13/65.72 | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | (14084) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.13/65.72 | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.72 | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | BETA: splitting (13973) gives:
% 259.13/65.72 | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | Case 1:
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | (14085) all_4_100 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | REDUCE: (230), (14085) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14086) pred(n5) = all_4_76
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | REDUCE: (199), (14085) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14087) succ(n5) = all_4_78
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.13/65.72 | | | | | | | | | | | | | | | | simplifying with (192), (14087) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14088) all_4_78 = n6
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.13/65.72 | | | | | | | | | | | | | | | | simplifying with (223), (14086) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14089) all_4_76 = n4
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | REDUCE: (131), (14089) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14090) sum(n4, all_4_75) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | REDUCE: (130), (14088), (14089) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14091) sum(n4, n6) = all_4_72
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | REDUCE: (127), (14088) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14092) sum(all_4_79, n6) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | simplifying with (56), (14091) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14093) all_4_72 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | REDUCE: (132), (14093) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | (14094) sum(all_4_73, n10) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | BETA: splitting (14084) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14095) all_4_101 = n4
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (229), (14095) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14096) pred(n4) = all_4_79
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (198), (14095) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14097) succ(n4) = all_4_75
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (191), (14097) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14098) all_4_75 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (222), (14096) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14099) all_4_79 = n3
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (128), (14098), (14099) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14100) sum(n3, n5) = all_4_73
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (14092), (14099) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14101) sum(n3, n6) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (14090), (14098) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14102) sum(n4, n5) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (44), (14100) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14103) all_4_73 = n8
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (45), (14101) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14104) all_4_77 = n9
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (55), (14102) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14105) all_4_74 = n9
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (14094), (14103) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14106) sum(n8, n10) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (129), (14104), (14105) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14107) sum(n9, n9) = all_4_99
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (104), (14106) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14108) all_4_98 = n7
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.13/65.72 | | | | | | | | | | | | | | | | | simplifying with (114), (14107) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14109) all_4_99 = n7
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (10399),
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14107), (14108), (14109) are inconsistent by
% 259.13/65.72 | | | | | | | | | | | | | | | | | sub-proof #85.
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14110) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.13/65.72 | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | BETA: splitting (14110) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14111) all_4_101 = n3
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (229), (14111) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14112) pred(n3) = all_4_79
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (198), (14111) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14113) succ(n3) = all_4_75
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (190), (14113) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14114) all_4_75 = n4
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (221), (14112) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14115) all_4_79 = n2
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (128), (14114), (14115) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14116) sum(n2, n4) = all_4_73
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (14092), (14115) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14117) sum(n2, n6) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (14090), (14114) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14118) sum(n4, n4) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (32), (14116) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14119) all_4_73 = n6
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (34), (14117) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14120) all_4_77 = n8
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (54), (14118) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14121) all_4_74 = n8
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (14094), (14119) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14122) sum(n6, n10) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REDUCE: (129), (14120), (14121) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14123) sum(n8, n8) = all_4_99
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (82), (14122) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14124) all_4_98 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | simplifying with (102), (14123) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14125) all_4_99 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14123), (14124), (14125) are inconsistent by
% 259.13/65.72 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | (14126) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | BETA: splitting (14126) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14127) all_4_101 = n2
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14127) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14128) pred(n2) = all_4_79
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14127) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14129) succ(n2) = all_4_75
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (189), (14129) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14130) all_4_75 = n3
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (220), (14128) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14131) all_4_79 = n1
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14130), (14131) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14132) sum(n1, n3) = all_4_73
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (14092), (14131) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14133) sum(n1, n6) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (14090), (14130) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14134) sum(n4, n3) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (20), (14132) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14135) all_4_73 = n4
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (23), (14133) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14136) all_4_77 = n7
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (53), (14134) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14137) all_4_74 = n7
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (14094), (14135) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14138) sum(n4, n10) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14136), (14137) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14139) sum(n7, n7) = all_4_99
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (60), (14138) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14140) all_4_98 = n3
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | simplifying with (90), (14139) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14141) all_4_99 = n3
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14139), (14140), (14141) are inconsistent by
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | (14142) all_4_101 = n1 | all_4_101 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (14142) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14143) all_4_101 = n1
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14143) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14144) pred(n1) = all_4_79
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14143) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14145) succ(n1) = all_4_75
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14145) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14146) all_4_75 = n2
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14144) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14147) all_4_79 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14146), (14147) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14148) sum(n0, n2) = all_4_73
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (14092), (14147) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14149) sum(n0, n6) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (14090), (14146) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14150) sum(n4, n2) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14148) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14151) all_4_73 = n2
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (12), (14149) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14152) all_4_77 = n6
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (52), (14150) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14153) all_4_74 = n6
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (14094), (14151) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14154) sum(n2, n10) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14152), (14153) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14155) sum(n6, n6) = all_4_99
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (38), (14154) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14156) all_4_98 = n1
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (14155) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14157) all_4_99 = n1
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14155), (14156), (14157) are inconsistent by
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14158) all_4_101 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14158) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14159) pred(n0) = all_4_79
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14158) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14160) succ(n0) = all_4_75
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14160) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14161) all_4_75 = n1
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14159) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14162) all_4_79 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14161), (14162) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14163) sum(n10, n1) = all_4_73
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (14092), (14162) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14164) sum(n10, n6) = all_4_77
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (14090), (14161) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14165) sum(n4, n1) = all_4_74
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (51), (14165) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14166) all_4_74 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14163) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14167) all_4_73 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (122), (14164) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14168) all_4_77 = n5
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (14094), (14167) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14169) sum(n0, n10) = all_4_98
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14166), (14168) imply:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14170) sum(n5, n5) = all_4_99
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (16), (14169) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14171) all_4_98 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (14170) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14172) all_4_99 = n10
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | (14170), (14171), (14172) are inconsistent by
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | End of split
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | Case 2:
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | (14173) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.13/65.72 | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | BETA: splitting (14084) gives:
% 259.13/65.72 | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | (14174) all_4_101 = n4
% 259.13/65.72 | | | | | | | | | | | | | | | | |
% 259.13/65.72 | | | | | | | | | | | | | | | | | REDUCE: (229), (14174) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14175) pred(n4) = all_4_79
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | REDUCE: (198), (14174) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14176) succ(n4) = all_4_75
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | simplifying with (191), (14176) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14177) all_4_75 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | simplifying with (222), (14175) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14178) all_4_79 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | REDUCE: (131), (14177) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14179) sum(all_4_76, n5) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | REDUCE: (128), (14177), (14178) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14180) sum(n3, n5) = all_4_73
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | REDUCE: (127), (14178) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14181) sum(n3, all_4_78) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | simplifying with (44), (14180) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14182) all_4_73 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | REDUCE: (132), (14182) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14183) sum(n8, all_4_72) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | BETA: splitting (14173) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14184) all_4_100 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (230), (14184) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14185) pred(n4) = all_4_76
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (199), (14184) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14186) succ(n4) = all_4_78
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (191), (14186) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14187) all_4_78 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (222), (14185) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14188) all_4_76 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (130), (14187), (14188) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14189) sum(n3, n5) = all_4_72
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (14179), (14188) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14190) sum(n3, n5) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (14181), (14187) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14191) sum(n3, n5) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (44), (14190) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14192) all_4_74 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (14189), (14190) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14193) all_4_72 = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (14189), (14191) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14194) all_4_72 = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14193), (14194) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14195) all_4_74 = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | SIMP: (14195) implies:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14196) all_4_74 = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14192), (14196) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14197) all_4_77 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14194), (14197) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14198) all_4_72 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (129), (14192), (14197) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14199) sum(n8, n8) = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (14183), (14198) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14200) sum(n8, n8) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (102), (14200) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14201) all_4_98 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (14199), (14200) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14202) all_4_98 = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14201), (14202) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14203) all_4_99 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | SIMP: (14203) implies:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14204) all_4_99 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14199), (14201), (14204) are inconsistent by
% 259.13/65.73 | | | | | | | | | | | | | | | | | | sub-proof #70.
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14205) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | BETA: splitting (14205) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14206) all_4_100 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14206) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14207) pred(n3) = all_4_76
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14206) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14208) succ(n3) = all_4_78
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (190), (14208) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14209) all_4_78 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (221), (14207) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14210) all_4_76 = n2
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14209), (14210) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14211) sum(n2, n4) = all_4_72
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (14179), (14210) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14212) sum(n2, n5) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (14181), (14209) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14213) sum(n3, n4) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (32), (14211) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14214) all_4_72 = n6
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (33), (14212) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14215) all_4_74 = n7
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (43), (14213) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14216) all_4_77 = n7
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14215), (14216) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14217) sum(n7, n7) = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (14183), (14214) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14218) sum(n8, n6) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (90), (14217) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14219) all_4_99 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (100), (14218) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14220) all_4_98 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14217), (14219), (14220) are inconsistent by
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14221) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (14221) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14222) all_4_100 = n2
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14222) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14223) pred(n2) = all_4_76
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14222) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14224) succ(n2) = all_4_78
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14224) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14225) all_4_78 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14223) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14226) all_4_76 = n1
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14225), (14226) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14227) sum(n1, n3) = all_4_72
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (14179), (14226) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14228) sum(n1, n5) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (14181), (14225) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14229) sum(n3, n3) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14227) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14230) all_4_72 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (22), (14228) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14231) all_4_74 = n6
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (42), (14229) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14232) all_4_77 = n6
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14231), (14232) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14233) sum(n6, n6) = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (14183), (14230) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14234) sum(n8, n4) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (14233) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14235) all_4_99 = n1
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | simplifying with (98), (14234) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14236) all_4_98 = n1
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14233), (14235), (14236) are inconsistent by
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | (14237) all_4_100 = n1 | all_4_100 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14237) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14238) all_4_100 = n1
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14238) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14239) pred(n1) = all_4_76
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14238) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14240) succ(n1) = all_4_78
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14240) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14241) all_4_78 = n2
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14239) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14242) all_4_76 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14241), (14242) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14243) sum(n0, n2) = all_4_72
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14179), (14242) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14244) sum(n0, n5) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14181), (14241) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14245) sum(n3, n2) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14243) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14246) all_4_72 = n2
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (14244) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14247) all_4_74 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (14245) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14248) all_4_77 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14247), (14248) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14249) sum(n5, n5) = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14183), (14246) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14250) sum(n8, n2) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (14249) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14251) all_4_99 = n10
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (14250) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14252) all_4_98 = n10
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14249), (14251), (14252) are inconsistent by
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14253) all_4_100 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14253) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14254) pred(n0) = all_4_76
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14253) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14255) succ(n0) = all_4_78
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14255) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14256) all_4_78 = n1
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14254) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14257) all_4_76 = n10
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14256), (14257) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14258) sum(n10, n1) = all_4_72
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14179), (14257) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14259) sum(n10, n5) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14181), (14256) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14260) sum(n3, n1) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (14260) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14261) all_4_77 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14258) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14262) all_4_72 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (14259) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14263) all_4_74 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14261), (14263) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14264) sum(n4, n4) = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14183), (14262) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14265) sum(n8, n0) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (14264) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14266) all_4_99 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (14265) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14267) all_4_98 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | (14264), (14266), (14267) are inconsistent by
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | End of split
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | (14268) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.13/65.73 | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | BETA: splitting (14173) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14269) all_4_100 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (230), (14269) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14270) pred(n4) = all_4_76
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (199), (14269) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14271) succ(n4) = all_4_78
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (191), (14271) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14272) all_4_78 = n5
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (222), (14270) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14273) all_4_76 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (131), (14273) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14274) sum(n3, all_4_75) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (130), (14272), (14273) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14275) sum(n3, n5) = all_4_72
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (127), (14272) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14276) sum(all_4_79, n5) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | simplifying with (44), (14275) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14277) all_4_72 = n8
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | REDUCE: (132), (14277) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | (14278) sum(all_4_73, n8) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | BETA: splitting (14268) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14279) all_4_101 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14279) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14280) pred(n3) = all_4_79
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14279) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14281) succ(n3) = all_4_75
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (190), (14281) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14282) all_4_75 = n4
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (221), (14280) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14283) all_4_79 = n2
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14282), (14283) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14284) sum(n2, n4) = all_4_73
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (14276), (14283) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14285) sum(n2, n5) = all_4_77
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (14274), (14282) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14286) sum(n3, n4) = all_4_74
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (32), (14284) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14287) all_4_73 = n6
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (33), (14285) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14288) all_4_77 = n7
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (43), (14286) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14289) all_4_74 = n7
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (14278), (14287) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14290) sum(n6, n8) = all_4_98
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14288), (14289) imply:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14291) sum(n7, n7) = all_4_99
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (80), (14290) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14292) all_4_98 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | simplifying with (90), (14291) gives:
% 259.13/65.73 | | | | | | | | | | | | | | | | | | | (14293) all_4_99 = n3
% 259.13/65.73 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14291), (14292), (14293) are inconsistent by
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14294) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (14294) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14295) all_4_101 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14295) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14296) pred(n2) = all_4_79
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14295) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14297) succ(n2) = all_4_75
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14297) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14298) all_4_75 = n3
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14296) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14299) all_4_79 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14298), (14299) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14300) sum(n1, n3) = all_4_73
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14276), (14299) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14301) sum(n1, n5) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14274), (14298) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14302) sum(n3, n3) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14300) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14303) all_4_73 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (22), (14301) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14304) all_4_77 = n6
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (42), (14302) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14305) all_4_74 = n6
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14278), (14303) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14306) sum(n4, n8) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14304), (14305) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14307) sum(n6, n6) = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (58), (14306) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14308) all_4_98 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (14307) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14309) all_4_99 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14307), (14308), (14309) are inconsistent by
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14310) all_4_101 = n1 | all_4_101 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14310) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14311) all_4_101 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14311) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14312) pred(n1) = all_4_79
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14311) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14313) succ(n1) = all_4_75
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14313) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14314) all_4_75 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14312) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14315) all_4_79 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14314), (14315) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14316) sum(n0, n2) = all_4_73
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14276), (14315) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14317) sum(n0, n5) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14274), (14314) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14318) sum(n3, n2) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14316) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14319) all_4_73 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (14317) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14320) all_4_77 = n5
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (14318) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14321) all_4_74 = n5
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14278), (14319) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14322) sum(n2, n8) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14320), (14321) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14323) sum(n5, n5) = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (14322) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14324) all_4_98 = n10
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (14323) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14325) all_4_99 = n10
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14323), (14324), (14325) are inconsistent by
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14326) all_4_101 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14326) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14327) pred(n0) = all_4_79
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14326) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14328) succ(n0) = all_4_75
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14328) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14329) all_4_75 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14327) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14330) all_4_79 = n10
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14329), (14330) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14331) sum(n10, n1) = all_4_73
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14276), (14330) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14332) sum(n10, n5) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14274), (14329) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14333) sum(n3, n1) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (14333) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14334) all_4_74 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14331) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14335) all_4_73 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (14332) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14336) all_4_77 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14278), (14335) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14337) sum(n0, n8) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14334), (14336) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14338) sum(n4, n4) = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (14337) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14339) all_4_98 = n8
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (14338) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14340) all_4_99 = n8
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14338), (14339), (14340) are inconsistent by
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.74 | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.74 | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | (14341) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | BETA: splitting (14268) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14342) all_4_101 = n3
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14342) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14343) pred(n3) = all_4_79
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14342) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14344) succ(n3) = all_4_75
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | simplifying with (190), (14344) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14345) all_4_75 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | simplifying with (221), (14343) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14346) all_4_79 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (14345) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14347) sum(all_4_76, n4) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14345), (14346) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14348) sum(n2, n4) = all_4_73
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (14346) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14349) sum(n2, all_4_78) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | simplifying with (32), (14348) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14350) all_4_73 = n6
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (14350) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | (14351) sum(n6, all_4_72) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (14341) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14352) all_4_100 = n3
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14352) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14353) pred(n3) = all_4_76
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14352) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14354) succ(n3) = all_4_78
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (14354) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14355) all_4_78 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (14353) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14356) all_4_76 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14355), (14356) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14357) sum(n2, n4) = all_4_72
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14347), (14356) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14358) sum(n2, n4) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14349), (14355) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14359) sum(n2, n4) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (14358) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14360) all_4_74 = n6
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (14357), (14358) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14361) all_4_72 = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (14357), (14359) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14362) all_4_72 = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14361), (14362) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14363) all_4_74 = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | SIMP: (14363) implies:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14364) all_4_74 = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14360), (14364) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14365) all_4_77 = n6
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14362), (14365) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14366) all_4_72 = n6
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14360), (14365) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14367) sum(n6, n6) = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14351), (14366) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14368) sum(n6, n6) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (14368) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14369) all_4_98 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | simplifying with (14367), (14368) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14370) all_4_98 = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14369), (14370) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14371) all_4_99 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | SIMP: (14371) implies:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14372) all_4_99 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14367), (14369), (14372) are inconsistent by
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | (14373) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14373) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14374) all_4_100 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14374) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14375) pred(n2) = all_4_76
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14374) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14376) succ(n2) = all_4_78
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14376) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14377) all_4_78 = n3
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14375) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14378) all_4_76 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14377), (14378) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14379) sum(n1, n3) = all_4_72
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14347), (14378) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14380) sum(n1, n4) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14349), (14377) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14381) sum(n2, n3) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14379) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14382) all_4_72 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (14380) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14383) all_4_74 = n5
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (14381) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14384) all_4_77 = n5
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14383), (14384) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14385) sum(n5, n5) = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14351), (14382) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14386) sum(n6, n4) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (14385) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14387) all_4_99 = n10
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (14386) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14388) all_4_98 = n10
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14385), (14387), (14388) are inconsistent by
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | (14389) all_4_100 = n1 | all_4_100 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14389) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14390) all_4_100 = n1
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14390) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14391) pred(n1) = all_4_76
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14390) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14392) succ(n1) = all_4_78
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14392) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14393) all_4_78 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14391) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14394) all_4_76 = n0
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14393), (14394) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14395) sum(n0, n2) = all_4_72
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14347), (14394) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14396) sum(n0, n4) = all_4_74
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14349), (14393) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14397) sum(n2, n2) = all_4_77
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14395) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14398) all_4_72 = n2
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (14396) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14399) all_4_74 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (14397) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14400) all_4_77 = n4
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14399), (14400) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14401) sum(n4, n4) = all_4_99
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14351), (14398) imply:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14402) sum(n6, n2) = all_4_98
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (14401) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14403) all_4_99 = n8
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (14402) gives:
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | | (14404) all_4_98 = n8
% 259.13/65.74 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14401), (14403), (14404) are inconsistent by
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14405) all_4_100 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14405) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14406) pred(n0) = all_4_76
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14405) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14407) succ(n0) = all_4_78
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14407) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14408) all_4_78 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14406) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14409) all_4_76 = n10
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14408), (14409) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14410) sum(n10, n1) = all_4_72
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14347), (14409) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14411) sum(n10, n4) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14349), (14408) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14412) sum(n2, n1) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (14412) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14413) all_4_77 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14410) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14414) all_4_72 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (14411) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14415) all_4_74 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14413), (14415) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14416) sum(n3, n3) = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14351), (14414) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14417) sum(n6, n0) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (14416) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14418) all_4_99 = n6
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (14417) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14419) all_4_98 = n6
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14416), (14418), (14419) are inconsistent by
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.75 | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | (14420) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (14341) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14421) all_4_100 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14421) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14422) pred(n3) = all_4_76
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14421) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14423) succ(n3) = all_4_78
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (14423) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14424) all_4_78 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (14422) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14425) all_4_76 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (14425) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14426) sum(n2, all_4_75) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14424), (14425) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14427) sum(n2, n4) = all_4_72
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (14424) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14428) sum(all_4_79, n4) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (14427) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14429) all_4_72 = n6
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (14429) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14430) sum(all_4_73, n6) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14420) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14431) all_4_101 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14431) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14432) pred(n2) = all_4_79
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14431) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14433) succ(n2) = all_4_75
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14433) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14434) all_4_75 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14432) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14435) all_4_79 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14434), (14435) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14436) sum(n1, n3) = all_4_73
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14428), (14435) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14437) sum(n1, n4) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14426), (14434) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14438) sum(n2, n3) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14436) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14439) all_4_73 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (14437) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14440) all_4_77 = n5
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (14438) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14441) all_4_74 = n5
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14430), (14439) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14442) sum(n4, n6) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14440), (14441) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14443) sum(n5, n5) = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (14442) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14444) all_4_98 = n10
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (14443) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14445) all_4_99 = n10
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14443), (14444), (14445) are inconsistent by
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14446) all_4_101 = n1 | all_4_101 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14446) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14447) all_4_101 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14447) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14448) pred(n1) = all_4_79
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14447) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14449) succ(n1) = all_4_75
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14449) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14450) all_4_75 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14448) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14451) all_4_79 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14450), (14451) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14452) sum(n0, n2) = all_4_73
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14428), (14451) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14453) sum(n0, n4) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14426), (14450) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14454) sum(n2, n2) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14452) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14455) all_4_73 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (14453) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14456) all_4_77 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (14454) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14457) all_4_74 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14430), (14455) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14458) sum(n2, n6) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14456), (14457) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14459) sum(n4, n4) = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (14458) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14460) all_4_98 = n8
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (14459) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14461) all_4_99 = n8
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14459), (14460), (14461) are inconsistent by
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14462) all_4_101 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14462) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14463) pred(n0) = all_4_79
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14462) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14464) succ(n0) = all_4_75
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14464) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14465) all_4_75 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14463) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14466) all_4_79 = n10
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14465), (14466) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14467) sum(n10, n1) = all_4_73
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14428), (14466) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14468) sum(n10, n4) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14426), (14465) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14469) sum(n2, n1) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (14469) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14470) all_4_74 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14467) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14471) all_4_73 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (14468) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14472) all_4_77 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14430), (14471) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14473) sum(n0, n6) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14470), (14472) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14474) sum(n3, n3) = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (14473) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14475) all_4_98 = n6
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (14474) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14476) all_4_99 = n6
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14474), (14475), (14476) are inconsistent by
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | (14477) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14420) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14478) all_4_101 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14478) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14479) pred(n2) = all_4_79
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14478) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14480) succ(n2) = all_4_75
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14480) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14481) all_4_75 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14479) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14482) all_4_79 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (14481) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14483) sum(all_4_76, n3) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14481), (14482) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14484) sum(n1, n3) = all_4_73
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (14482) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14485) sum(n1, all_4_78) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14484) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14486) all_4_73 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (14486) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | (14487) sum(n4, all_4_72) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14477) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14488) all_4_100 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14488) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14489) pred(n2) = all_4_76
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14488) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14490) succ(n2) = all_4_78
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14490) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14491) all_4_78 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14489) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14492) all_4_76 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14491), (14492) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14493) sum(n1, n3) = all_4_72
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14483), (14492) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14494) sum(n1, n3) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14485), (14491) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14495) sum(n1, n3) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14494) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14496) all_4_74 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (14493), (14494) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14497) all_4_72 = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (14493), (14495) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14498) all_4_72 = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14497), (14498) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14499) all_4_74 = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14499) implies:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14500) all_4_74 = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14496), (14500) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14501) all_4_77 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14498), (14501) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14502) all_4_72 = n4
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14496), (14501) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14503) sum(n4, n4) = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14487), (14502) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14504) sum(n4, n4) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (14504) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14505) all_4_98 = n8
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | simplifying with (14503), (14504) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14506) all_4_98 = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14505), (14506) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14507) all_4_99 = n8
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14507) implies:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14508) all_4_99 = n8
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14503), (14505), (14508) are inconsistent by
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | (14509) all_4_100 = n1 | all_4_100 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14509) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14510) all_4_100 = n1
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14510) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14511) pred(n1) = all_4_76
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14510) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14512) succ(n1) = all_4_78
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14512) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14513) all_4_78 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14511) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14514) all_4_76 = n0
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14513), (14514) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14515) sum(n0, n2) = all_4_72
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14483), (14514) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14516) sum(n0, n3) = all_4_74
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14485), (14513) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14517) sum(n1, n2) = all_4_77
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14515) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14518) all_4_72 = n2
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (14516) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14519) all_4_74 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (14517) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14520) all_4_77 = n3
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14519), (14520) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14521) sum(n3, n3) = all_4_99
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14487), (14518) imply:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14522) sum(n4, n2) = all_4_98
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (14521) gives:
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | (14523) all_4_99 = n6
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (14522) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14524) all_4_98 = n6
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14521), (14523), (14524) are inconsistent by
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14525) all_4_100 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14525) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14526) pred(n0) = all_4_76
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14525) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14527) succ(n0) = all_4_78
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14527) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14528) all_4_78 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14526) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14529) all_4_76 = n10
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14528), (14529) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14530) sum(n10, n1) = all_4_72
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14483), (14529) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14531) sum(n10, n3) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14485), (14528) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14532) sum(n1, n1) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (14532) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14533) all_4_77 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14530) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14534) all_4_72 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (14531) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14535) all_4_74 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14533), (14535) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14536) sum(n2, n2) = all_4_99
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14487), (14534) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14537) sum(n4, n0) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (14536) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14538) all_4_99 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (14537) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14539) all_4_98 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14536), (14538), (14539) are inconsistent by
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | (14540) all_4_101 = n1 | all_4_101 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14477) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14541) all_4_100 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14541) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14542) pred(n2) = all_4_76
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14541) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14543) succ(n2) = all_4_78
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (14543) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14544) all_4_78 = n3
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (14542) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14545) all_4_76 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (14545) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14546) sum(n1, all_4_75) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14544), (14545) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14547) sum(n1, n3) = all_4_72
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (14544) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14548) sum(all_4_79, n3) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (14547) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14549) all_4_72 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (14549) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14550) sum(all_4_73, n4) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14540) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14551) all_4_101 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14551) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14552) pred(n1) = all_4_79
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14551) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14553) succ(n1) = all_4_75
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14553) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14554) all_4_75 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14552) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14555) all_4_79 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14554), (14555) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14556) sum(n0, n2) = all_4_73
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14548), (14555) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14557) sum(n0, n3) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14546), (14554) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14558) sum(n1, n2) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14556) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14559) all_4_73 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (14557) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14560) all_4_77 = n3
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (14558) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14561) all_4_74 = n3
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14550), (14559) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14562) sum(n2, n4) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14560), (14561) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14563) sum(n3, n3) = all_4_99
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (14562) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14564) all_4_98 = n6
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (14563) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14565) all_4_99 = n6
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14563), (14564), (14565) are inconsistent by
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14566) all_4_101 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14566) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14567) pred(n0) = all_4_79
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14566) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14568) succ(n0) = all_4_75
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14568) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14569) all_4_75 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14567) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14570) all_4_79 = n10
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14569), (14570) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14571) sum(n10, n1) = all_4_73
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14548), (14570) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14572) sum(n10, n3) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14546), (14569) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14573) sum(n1, n1) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (14573) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14574) all_4_74 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14571) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14575) all_4_73 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (14572) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14576) all_4_77 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14550), (14575) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14577) sum(n0, n4) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14574), (14576) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14578) sum(n2, n2) = all_4_99
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (14577) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14579) all_4_98 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (14578) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14580) all_4_99 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14578), (14579), (14580) are inconsistent by
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | (14581) all_4_100 = n1 | all_4_100 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14540) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14582) all_4_101 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14582) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14583) pred(n1) = all_4_79
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14582) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14584) succ(n1) = all_4_75
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14584) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14585) all_4_75 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14583) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14586) all_4_79 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (14585) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14587) sum(all_4_76, n2) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14585), (14586) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14588) sum(n0, n2) = all_4_73
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (14586) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14589) sum(n0, all_4_78) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14588) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14590) all_4_73 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (14590) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14591) sum(n2, all_4_72) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14581) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14592) all_4_100 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14592) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14593) pred(n1) = all_4_76
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14592) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14594) succ(n1) = all_4_78
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14594) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14595) all_4_78 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14593) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14596) all_4_76 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14595), (14596) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14597) sum(n0, n2) = all_4_72
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14587), (14596) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14598) sum(n0, n2) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14589), (14595) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14599) sum(n0, n2) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14598) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14600) all_4_74 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14597), (14598) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14601) all_4_72 = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14597), (14599) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14602) all_4_72 = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14601), (14602) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14603) all_4_74 = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14603) implies:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14604) all_4_74 = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14600), (14604) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14605) all_4_77 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14602), (14605) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14606) all_4_72 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14600), (14605) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14607) sum(n2, n2) = all_4_99
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14591), (14606) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14608) sum(n2, n2) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (14608) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14609) all_4_98 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14607), (14608) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14610) all_4_98 = all_4_99
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14609), (14610) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14611) all_4_99 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14611) implies:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14612) all_4_99 = n4
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (188), (190), (191), (192),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (213), (219), (221), (222), (223), (227), (231),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14607), (14609), (14612) are inconsistent by
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14613) all_4_100 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14613) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14614) pred(n0) = all_4_76
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14613) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14615) succ(n0) = all_4_78
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14615) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14616) all_4_78 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14614) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14617) all_4_76 = n10
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14616), (14617) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14618) sum(n10, n1) = all_4_72
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14587), (14617) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14619) sum(n10, n2) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14589), (14616) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14620) sum(n0, n1) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (14620) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14621) all_4_77 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14618) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14622) all_4_72 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (14619) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14623) all_4_74 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14621), (14623) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14624) sum(n1, n1) = all_4_99
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14591), (14622) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14625) sum(n2, n0) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (14624) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14626) all_4_99 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (14625) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14627) all_4_98 = n2
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | (14624), (14626), (14627) are inconsistent by
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14628) all_4_101 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (14628) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14629) pred(n0) = all_4_79
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (14628) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14630) succ(n0) = all_4_75
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14630) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14631) all_4_75 = n1
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14629) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14632) all_4_79 = n10
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (14631) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14633) sum(all_4_76, n1) = all_4_74
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14631), (14632) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14634) sum(n10, n1) = all_4_73
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (14632) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14635) sum(n10, all_4_78) = all_4_77
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14634) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14636) all_4_73 = n0
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (14636) imply:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | (14637) sum(n0, all_4_72) = all_4_98
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14581) gives:
% 259.13/65.76 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14638) all_4_100 = n1
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14638) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14639) pred(n1) = all_4_76
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14638) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14640) succ(n1) = all_4_78
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (14640) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14641) all_4_78 = n2
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (14639) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14642) all_4_76 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14641), (14642) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14643) sum(n0, n2) = all_4_72
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14633), (14642) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14644) sum(n0, n1) = all_4_74
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14635), (14641) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14645) sum(n10, n2) = all_4_77
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n1, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (14644) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14646) all_4_74 = n1
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14643) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14647) all_4_72 = n2
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n2, n10,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (14645) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14648) all_4_77 = n1
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14646), (14648) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14649) sum(n1, n1) = all_4_99
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14637), (14647) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14650) sum(n0, n2) = all_4_98
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n2, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (14650) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14651) all_4_98 = n2
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (14649) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14652) all_4_99 = n2
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (189), (193), (194), (195),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (213), (220), (224), (225), (226), (228), (231),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (238),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (13336),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14649), (14651), (14652) are inconsistent by
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14653) all_4_100 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (14653) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14654) pred(n0) = all_4_76
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (14653) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14655) succ(n0) = all_4_78
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (14655) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14656) all_4_78 = n1
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (14654) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14657) all_4_76 = n10
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (14656), (14657) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14658) sum(n10, n1) = all_4_72
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14633), (14657) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14659) sum(n10, n1) = all_4_74
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14635), (14656) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14660) sum(n10, n1) = all_4_77
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n1, n10,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (14659) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14661) all_4_74 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n1,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (14658), (14659) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14662) all_4_72 = all_4_74
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n1,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (14658), (14660) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14663) all_4_72 = all_4_77
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14662), (14663) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14664) all_4_74 = all_4_77
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14664) implies:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14665) all_4_74 = all_4_77
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14661), (14665) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14666) all_4_77 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14663), (14666) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14667) all_4_72 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (14661), (14666) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14668) sum(n0, n0) = all_4_99
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14637), (14667) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14669) sum(n0, n0) = all_4_98
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n0, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (14669) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14670) all_4_98 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n0, n0,
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14668), (14669) gives:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14671) all_4_98 = all_4_99
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14670), (14671) imply:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14672) all_4_99 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14672) implies:
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14673) all_4_99 = n0
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (169), (170), (171),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (174), (187), (200), (201), (202),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (218), (231), (232),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (13336),
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | (14668), (14670), (14673) are inconsistent by
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #164.
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | End of split
% 259.13/65.77 | | | | | | | | |
% 259.13/65.77 | | | | | | | | Case 2:
% 259.13/65.77 | | | | | | | | |
% 259.13/65.77 | | | | | | | | | (14674) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89)
% 259.13/65.77 | | | | | | | | | | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.13/65.77 | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.13/65.77 | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.13/65.77 | | | | | | | | |
% 259.13/65.77 | | | | | | | | | BETA: splitting (11808) gives:
% 259.13/65.77 | | | | | | | | |
% 259.13/65.77 | | | | | | | | | Case 1:
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | (14675) all_4_100 = n8
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | REDUCE: (230), (14675) imply:
% 259.13/65.77 | | | | | | | | | | (14676) pred(n8) = all_4_76
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | REDUCE: (199), (14675) imply:
% 259.13/65.77 | | | | | | | | | | (14677) succ(n8) = all_4_78
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_78, n8,
% 259.13/65.77 | | | | | | | | | | simplifying with (195), (14677) gives:
% 259.13/65.77 | | | | | | | | | | (14678) all_4_78 = n9
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_76, n8,
% 259.13/65.77 | | | | | | | | | | simplifying with (226), (14676) gives:
% 259.13/65.77 | | | | | | | | | | (14679) all_4_76 = n7
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | REDUCE: (131), (14679) imply:
% 259.13/65.77 | | | | | | | | | | (14680) sum(n7, all_4_75) = all_4_74
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | REDUCE: (130), (14678), (14679) imply:
% 259.13/65.77 | | | | | | | | | | (14681) sum(n7, n9) = all_4_72
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | REDUCE: (127), (14678) imply:
% 259.13/65.77 | | | | | | | | | | (14682) sum(all_4_79, n9) = all_4_77
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_72, n9, n7,
% 259.13/65.77 | | | | | | | | | | simplifying with (92), (14681) gives:
% 259.13/65.77 | | | | | | | | | | (14683) all_4_72 = n5
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | REDUCE: (132), (14683) imply:
% 259.13/65.77 | | | | | | | | | | (14684) sum(all_4_73, n5) = all_4_98
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | BETA: splitting (13335) gives:
% 259.13/65.77 | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | Case 1:
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | (14685) all_4_101 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (229), (14685) imply:
% 259.13/65.77 | | | | | | | | | | | (14686) pred(n7) = all_4_79
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (198), (14685) imply:
% 259.13/65.77 | | | | | | | | | | | (14687) succ(n7) = all_4_75
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (194), (14687) gives:
% 259.13/65.77 | | | | | | | | | | | (14688) all_4_75 = n8
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (225), (14686) gives:
% 259.13/65.77 | | | | | | | | | | | (14689) all_4_79 = n6
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (128), (14688), (14689) imply:
% 259.13/65.77 | | | | | | | | | | | (14690) sum(n6, n8) = all_4_73
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (14682), (14689) imply:
% 259.13/65.77 | | | | | | | | | | | (14691) sum(n6, n9) = all_4_77
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (14680), (14688) imply:
% 259.13/65.77 | | | | | | | | | | | (14692) sum(n7, n8) = all_4_74
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (80), (14690) gives:
% 259.13/65.77 | | | | | | | | | | | (14693) all_4_73 = n3
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n9, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (81), (14691) gives:
% 259.13/65.77 | | | | | | | | | | | (14694) all_4_77 = n4
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n8, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (91), (14692) gives:
% 259.13/65.77 | | | | | | | | | | | (14695) all_4_74 = n4
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (14684), (14693) imply:
% 259.13/65.77 | | | | | | | | | | | (14696) sum(n3, n5) = all_4_98
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (129), (14694), (14695) imply:
% 259.13/65.77 | | | | | | | | | | | (14697) sum(n4, n4) = all_4_99
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n5, n3,
% 259.13/65.77 | | | | | | | | | | | simplifying with (44), (14696) gives:
% 259.13/65.77 | | | | | | | | | | | (14698) all_4_98 = n8
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.13/65.77 | | | | | | | | | | | simplifying with (54), (14697) gives:
% 259.13/65.77 | | | | | | | | | | | (14699) all_4_99 = n8
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (232), (14698) imply:
% 259.13/65.77 | | | | | | | | | | | (14700) pred(n8) = all_4_68
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (231), (14699) imply:
% 259.13/65.77 | | | | | | | | | | | (14701) pred(n8) = all_4_71
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (201), (14698) imply:
% 259.13/65.77 | | | | | | | | | | | (14702) succ(n8) = all_4_70
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (200), (14699) imply:
% 259.13/65.77 | | | | | | | | | | | (14703) succ(n8) = all_4_67
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_67, n8,
% 259.13/65.77 | | | | | | | | | | | simplifying with (195), (14703) gives:
% 259.13/65.77 | | | | | | | | | | | (14704) all_4_67 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n8,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14702), (14703) gives:
% 259.13/65.77 | | | | | | | | | | | (14705) all_4_67 = all_4_70
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_68, n8,
% 259.13/65.77 | | | | | | | | | | | simplifying with (226), (14700) gives:
% 259.13/65.77 | | | | | | | | | | | (14706) all_4_68 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n8,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14700), (14701) gives:
% 259.13/65.77 | | | | | | | | | | | (14707) all_4_68 = all_4_71
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14704), (14705) imply:
% 259.13/65.77 | | | | | | | | | | | (14708) all_4_70 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14708) implies:
% 259.13/65.77 | | | | | | | | | | | (14709) all_4_70 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14706), (14707) imply:
% 259.13/65.77 | | | | | | | | | | | (14710) all_4_71 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (137), (14704), (14706) imply:
% 259.13/65.77 | | | | | | | | | | | (14711) sum(n7, n9) = all_4_66
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (136), (14706), (14709) imply:
% 259.13/65.77 | | | | | | | | | | | (14712) sum(n7, n9) = all_4_64
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (134), (14704), (14710) imply:
% 259.13/65.77 | | | | | | | | | | | (14713) sum(n7, n9) = all_4_65
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (133), (14709), (14710) imply:
% 259.13/65.77 | | | | | | | | | | | (14714) sum(n7, n9) = all_4_69
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_65, n9, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (92), (14713) gives:
% 259.13/65.77 | | | | | | | | | | | (14715) all_4_65 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n9, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14711), (14713) gives:
% 259.13/65.77 | | | | | | | | | | | (14716) all_4_65 = all_4_66
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n9, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14711), (14712) gives:
% 259.13/65.77 | | | | | | | | | | | (14717) all_4_64 = all_4_66
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n9, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14712), (14714) gives:
% 259.13/65.77 | | | | | | | | | | | (14718) all_4_64 = all_4_69
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14717), (14718) imply:
% 259.13/65.77 | | | | | | | | | | | (14719) all_4_66 = all_4_69
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14719) implies:
% 259.13/65.77 | | | | | | | | | | | (14720) all_4_66 = all_4_69
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14715), (14716) imply:
% 259.13/65.77 | | | | | | | | | | | (14721) all_4_66 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14721) implies:
% 259.13/65.77 | | | | | | | | | | | (14722) all_4_66 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14720), (14722) imply:
% 259.13/65.77 | | | | | | | | | | | (14723) all_4_69 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14718), (14723) imply:
% 259.13/65.77 | | | | | | | | | | | (14724) all_4_64 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (138), (14715), (14724) imply:
% 259.13/65.77 | | | | | | | | | | | (14725) sum(n5, n5) = all_4_96
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (135), (14722), (14723) imply:
% 259.13/65.77 | | | | | | | | | | | (14726) sum(n5, n5) = all_4_97
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_96, n5, n5,
% 259.13/65.77 | | | | | | | | | | | simplifying with (66), (14725) gives:
% 259.13/65.77 | | | | | | | | | | | (14727) all_4_96 = n10
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n5, n5,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14725), (14726) gives:
% 259.13/65.77 | | | | | | | | | | | (14728) all_4_96 = all_4_97
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14727), (14728) imply:
% 259.13/65.77 | | | | | | | | | | | (14729) all_4_97 = n10
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (234), (14727) imply:
% 259.13/65.77 | | | | | | | | | | | (14730) pred(n10) = all_4_60
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (233), (14729) imply:
% 259.13/65.77 | | | | | | | | | | | (14731) pred(n10) = all_4_63
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (203), (14727) imply:
% 259.13/65.77 | | | | | | | | | | | (14732) succ(n10) = all_4_62
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (202), (14729) imply:
% 259.13/65.77 | | | | | | | | | | | (14733) succ(n10) = all_4_59
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_59, n10,
% 259.13/65.77 | | | | | | | | | | | simplifying with (197), (14733) gives:
% 259.13/65.77 | | | | | | | | | | | (14734) all_4_59 = n0
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n10,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14732), (14733) gives:
% 259.13/65.77 | | | | | | | | | | | (14735) all_4_59 = all_4_62
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_60, n10,
% 259.13/65.77 | | | | | | | | | | | simplifying with (228), (14730) gives:
% 259.13/65.77 | | | | | | | | | | | (14736) all_4_60 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n10,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14730), (14731) gives:
% 259.13/65.77 | | | | | | | | | | | (14737) all_4_60 = all_4_63
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14734), (14735) imply:
% 259.13/65.77 | | | | | | | | | | | (14738) all_4_62 = n0
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14738) implies:
% 259.13/65.77 | | | | | | | | | | | (14739) all_4_62 = n0
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14736), (14737) imply:
% 259.13/65.77 | | | | | | | | | | | (14740) all_4_63 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (143), (14734), (14736) imply:
% 259.13/65.77 | | | | | | | | | | | (14741) sum(n9, n0) = all_4_58
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (142), (14736), (14739) imply:
% 259.13/65.77 | | | | | | | | | | | (14742) sum(n9, n0) = all_4_56
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (140), (14734), (14740) imply:
% 259.13/65.77 | | | | | | | | | | | (14743) sum(n9, n0) = all_4_57
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (139), (14739), (14740) imply:
% 259.13/65.77 | | | | | | | | | | | (14744) sum(n9, n0) = all_4_61
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_58, n0, n9,
% 259.13/65.77 | | | | | | | | | | | simplifying with (105), (14741) gives:
% 259.13/65.77 | | | | | | | | | | | (14745) all_4_58 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n0, n9,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14741), (14743) gives:
% 259.13/65.77 | | | | | | | | | | | (14746) all_4_57 = all_4_58
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n0, n9,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14742), (14743) gives:
% 259.13/65.77 | | | | | | | | | | | (14747) all_4_56 = all_4_57
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n0, n9,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14742), (14744) gives:
% 259.13/65.77 | | | | | | | | | | | (14748) all_4_56 = all_4_61
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14747), (14748) imply:
% 259.13/65.77 | | | | | | | | | | | (14749) all_4_57 = all_4_61
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14749) implies:
% 259.13/65.77 | | | | | | | | | | | (14750) all_4_57 = all_4_61
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14746), (14750) imply:
% 259.13/65.77 | | | | | | | | | | | (14751) all_4_58 = all_4_61
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14751) implies:
% 259.13/65.77 | | | | | | | | | | | (14752) all_4_58 = all_4_61
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14745), (14752) imply:
% 259.13/65.77 | | | | | | | | | | | (14753) all_4_61 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14750), (14753) imply:
% 259.13/65.77 | | | | | | | | | | | (14754) all_4_57 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14748), (14753) imply:
% 259.13/65.77 | | | | | | | | | | | (14755) all_4_56 = n9
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (144), (14754), (14755) imply:
% 259.13/65.77 | | | | | | | | | | | (14756) sum(n9, n9) = all_4_94
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (141), (14745), (14753) imply:
% 259.13/65.77 | | | | | | | | | | | (14757) sum(n9, n9) = all_4_95
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_94, n9, n9,
% 259.13/65.77 | | | | | | | | | | | simplifying with (114), (14756) gives:
% 259.13/65.77 | | | | | | | | | | | (14758) all_4_94 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n9, n9,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14756), (14757) gives:
% 259.13/65.77 | | | | | | | | | | | (14759) all_4_94 = all_4_95
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14758), (14759) imply:
% 259.13/65.77 | | | | | | | | | | | (14760) all_4_95 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (236), (14758) imply:
% 259.13/65.77 | | | | | | | | | | | (14761) pred(n7) = all_4_52
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (235), (14760) imply:
% 259.13/65.77 | | | | | | | | | | | (14762) pred(n7) = all_4_55
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (205), (14758) imply:
% 259.13/65.77 | | | | | | | | | | | (14763) succ(n7) = all_4_54
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (204), (14760) imply:
% 259.13/65.77 | | | | | | | | | | | (14764) succ(n7) = all_4_51
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_51, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (194), (14764) gives:
% 259.13/65.77 | | | | | | | | | | | (14765) all_4_51 = n8
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14763), (14764) gives:
% 259.13/65.77 | | | | | | | | | | | (14766) all_4_51 = all_4_54
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_52, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (225), (14761) gives:
% 259.13/65.77 | | | | | | | | | | | (14767) all_4_52 = n6
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n7,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14761), (14762) gives:
% 259.13/65.77 | | | | | | | | | | | (14768) all_4_52 = all_4_55
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14765), (14766) imply:
% 259.13/65.77 | | | | | | | | | | | (14769) all_4_54 = n8
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14769) implies:
% 259.13/65.77 | | | | | | | | | | | (14770) all_4_54 = n8
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14767), (14768) imply:
% 259.13/65.77 | | | | | | | | | | | (14771) all_4_55 = n6
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (149), (14765), (14767) imply:
% 259.13/65.77 | | | | | | | | | | | (14772) sum(n6, n8) = all_4_50
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (148), (14767), (14770) imply:
% 259.13/65.77 | | | | | | | | | | | (14773) sum(n6, n8) = all_4_48
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (146), (14765), (14771) imply:
% 259.13/65.77 | | | | | | | | | | | (14774) sum(n6, n8) = all_4_49
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (145), (14770), (14771) imply:
% 259.13/65.77 | | | | | | | | | | | (14775) sum(n6, n8) = all_4_53
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_50, n8, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (80), (14772) gives:
% 259.13/65.77 | | | | | | | | | | | (14776) all_4_50 = n3
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n8, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14772), (14774) gives:
% 259.13/65.77 | | | | | | | | | | | (14777) all_4_49 = all_4_50
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n8, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14773), (14774) gives:
% 259.13/65.77 | | | | | | | | | | | (14778) all_4_48 = all_4_49
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n8, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14773), (14775) gives:
% 259.13/65.77 | | | | | | | | | | | (14779) all_4_48 = all_4_53
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14778), (14779) imply:
% 259.13/65.77 | | | | | | | | | | | (14780) all_4_49 = all_4_53
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14780) implies:
% 259.13/65.77 | | | | | | | | | | | (14781) all_4_49 = all_4_53
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14777), (14781) imply:
% 259.13/65.77 | | | | | | | | | | | (14782) all_4_50 = all_4_53
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14782) implies:
% 259.13/65.77 | | | | | | | | | | | (14783) all_4_50 = all_4_53
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14776), (14783) imply:
% 259.13/65.77 | | | | | | | | | | | (14784) all_4_53 = n3
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14781), (14784) imply:
% 259.13/65.77 | | | | | | | | | | | (14785) all_4_49 = n3
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14779), (14784) imply:
% 259.13/65.77 | | | | | | | | | | | (14786) all_4_48 = n3
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (150), (14785), (14786) imply:
% 259.13/65.77 | | | | | | | | | | | (14787) sum(n3, n3) = all_4_92
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (147), (14776), (14784) imply:
% 259.13/65.77 | | | | | | | | | | | (14788) sum(n3, n3) = all_4_93
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_92, n3, n3,
% 259.13/65.77 | | | | | | | | | | | simplifying with (42), (14787) gives:
% 259.13/65.77 | | | | | | | | | | | (14789) all_4_92 = n6
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n3, n3,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14787), (14788) gives:
% 259.13/65.77 | | | | | | | | | | | (14790) all_4_92 = all_4_93
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14789), (14790) imply:
% 259.13/65.77 | | | | | | | | | | | (14791) all_4_93 = n6
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14791) implies:
% 259.13/65.77 | | | | | | | | | | | (14792) all_4_93 = n6
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (238), (14789) imply:
% 259.13/65.77 | | | | | | | | | | | (14793) pred(n6) = all_4_44
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (237), (14792) imply:
% 259.13/65.77 | | | | | | | | | | | (14794) pred(n6) = all_4_47
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (207), (14789) imply:
% 259.13/65.77 | | | | | | | | | | | (14795) succ(n6) = all_4_46
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (206), (14792) imply:
% 259.13/65.77 | | | | | | | | | | | (14796) succ(n6) = all_4_43
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_43, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (193), (14796) gives:
% 259.13/65.77 | | | | | | | | | | | (14797) all_4_43 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14795), (14796) gives:
% 259.13/65.77 | | | | | | | | | | | (14798) all_4_43 = all_4_46
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_44, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (224), (14793) gives:
% 259.13/65.77 | | | | | | | | | | | (14799) all_4_44 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n6,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14793), (14794) gives:
% 259.13/65.77 | | | | | | | | | | | (14800) all_4_44 = all_4_47
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14797), (14798) imply:
% 259.13/65.77 | | | | | | | | | | | (14801) all_4_46 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14801) implies:
% 259.13/65.77 | | | | | | | | | | | (14802) all_4_46 = n7
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14799), (14800) imply:
% 259.13/65.77 | | | | | | | | | | | (14803) all_4_47 = n5
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (155), (14797), (14799) imply:
% 259.13/65.77 | | | | | | | | | | | (14804) sum(n5, n7) = all_4_42
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (154), (14799), (14802) imply:
% 259.13/65.77 | | | | | | | | | | | (14805) sum(n5, n7) = all_4_40
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (152), (14797), (14803) imply:
% 259.13/65.77 | | | | | | | | | | | (14806) sum(n5, n7) = all_4_41
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (151), (14802), (14803) imply:
% 259.13/65.77 | | | | | | | | | | | (14807) sum(n5, n7) = all_4_45
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_42, n7, n5,
% 259.13/65.77 | | | | | | | | | | | simplifying with (68), (14804) gives:
% 259.13/65.77 | | | | | | | | | | | (14808) all_4_42 = n1
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n7, n5,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14804), (14806) gives:
% 259.13/65.77 | | | | | | | | | | | (14809) all_4_41 = all_4_42
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n7, n5,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14805), (14806) gives:
% 259.13/65.77 | | | | | | | | | | | (14810) all_4_40 = all_4_41
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n7, n5,
% 259.13/65.77 | | | | | | | | | | | simplifying with (14805), (14807) gives:
% 259.13/65.77 | | | | | | | | | | | (14811) all_4_40 = all_4_45
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14810), (14811) imply:
% 259.13/65.77 | | | | | | | | | | | (14812) all_4_41 = all_4_45
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14812) implies:
% 259.13/65.77 | | | | | | | | | | | (14813) all_4_41 = all_4_45
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14809), (14813) imply:
% 259.13/65.77 | | | | | | | | | | | (14814) all_4_42 = all_4_45
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | SIMP: (14814) implies:
% 259.13/65.77 | | | | | | | | | | | (14815) all_4_42 = all_4_45
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14808), (14815) imply:
% 259.13/65.77 | | | | | | | | | | | (14816) all_4_45 = n1
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14813), (14816) imply:
% 259.13/65.77 | | | | | | | | | | | (14817) all_4_41 = n1
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | COMBINE_EQS: (14811), (14816) imply:
% 259.13/65.77 | | | | | | | | | | | (14818) all_4_40 = n1
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (156), (14817), (14818) imply:
% 259.13/65.77 | | | | | | | | | | | (14819) sum(n1, n1) = all_4_90
% 259.13/65.77 | | | | | | | | | | |
% 259.13/65.77 | | | | | | | | | | | REDUCE: (153), (14808), (14816) imply:
% 259.13/65.77 | | | | | | | | | | | (14820) sum(n1, n1) = all_4_91
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_90, n1, n1,
% 259.13/65.78 | | | | | | | | | | | simplifying with (18), (14819) gives:
% 259.13/65.78 | | | | | | | | | | | (14821) all_4_90 = n2
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n1, n1,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14819), (14820) gives:
% 259.13/65.78 | | | | | | | | | | | (14822) all_4_90 = all_4_91
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14821), (14822) imply:
% 259.13/65.78 | | | | | | | | | | | (14823) all_4_91 = n2
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (240), (14821) imply:
% 259.13/65.78 | | | | | | | | | | | (14824) pred(n2) = all_4_36
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (239), (14823) imply:
% 259.13/65.78 | | | | | | | | | | | (14825) pred(n2) = all_4_39
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (209), (14821) imply:
% 259.13/65.78 | | | | | | | | | | | (14826) succ(n2) = all_4_38
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (208), (14823) imply:
% 259.13/65.78 | | | | | | | | | | | (14827) succ(n2) = all_4_35
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_35, n2,
% 259.13/65.78 | | | | | | | | | | | simplifying with (189), (14827) gives:
% 259.13/65.78 | | | | | | | | | | | (14828) all_4_35 = n3
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_38, all_4_35, n2,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14826), (14827) gives:
% 259.13/65.78 | | | | | | | | | | | (14829) all_4_35 = all_4_38
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_36, n2,
% 259.13/65.78 | | | | | | | | | | | simplifying with (220), (14824) gives:
% 259.13/65.78 | | | | | | | | | | | (14830) all_4_36 = n1
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36, n2,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14824), (14825) gives:
% 259.13/65.78 | | | | | | | | | | | (14831) all_4_36 = all_4_39
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14828), (14829) imply:
% 259.13/65.78 | | | | | | | | | | | (14832) all_4_38 = n3
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | SIMP: (14832) implies:
% 259.13/65.78 | | | | | | | | | | | (14833) all_4_38 = n3
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14830), (14831) imply:
% 259.13/65.78 | | | | | | | | | | | (14834) all_4_39 = n1
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (161), (14828), (14830) imply:
% 259.13/65.78 | | | | | | | | | | | (14835) sum(n1, n3) = all_4_34
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (160), (14830), (14833) imply:
% 259.13/65.78 | | | | | | | | | | | (14836) sum(n1, n3) = all_4_32
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (158), (14828), (14834) imply:
% 259.13/65.78 | | | | | | | | | | | (14837) sum(n1, n3) = all_4_33
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (157), (14833), (14834) imply:
% 259.13/65.78 | | | | | | | | | | | (14838) sum(n1, n3) = all_4_37
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_34, n3, n1,
% 259.13/65.78 | | | | | | | | | | | simplifying with (20), (14835) gives:
% 259.13/65.78 | | | | | | | | | | | (14839) all_4_34 = n4
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_33, n3, n1,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14835), (14837) gives:
% 259.13/65.78 | | | | | | | | | | | (14840) all_4_33 = all_4_34
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32, n3, n1,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14836), (14837) gives:
% 259.13/65.78 | | | | | | | | | | | (14841) all_4_32 = all_4_33
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_32, n3, n1,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14836), (14838) gives:
% 259.13/65.78 | | | | | | | | | | | (14842) all_4_32 = all_4_37
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14841), (14842) imply:
% 259.13/65.78 | | | | | | | | | | | (14843) all_4_33 = all_4_37
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | SIMP: (14843) implies:
% 259.13/65.78 | | | | | | | | | | | (14844) all_4_33 = all_4_37
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14840), (14844) imply:
% 259.13/65.78 | | | | | | | | | | | (14845) all_4_34 = all_4_37
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | SIMP: (14845) implies:
% 259.13/65.78 | | | | | | | | | | | (14846) all_4_34 = all_4_37
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14839), (14846) imply:
% 259.13/65.78 | | | | | | | | | | | (14847) all_4_37 = n4
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14844), (14847) imply:
% 259.13/65.78 | | | | | | | | | | | (14848) all_4_33 = n4
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14842), (14847) imply:
% 259.13/65.78 | | | | | | | | | | | (14849) all_4_32 = n4
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (162), (14848), (14849) imply:
% 259.13/65.78 | | | | | | | | | | | (14850) sum(n4, n4) = all_4_88
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (159), (14839), (14847) imply:
% 259.13/65.78 | | | | | | | | | | | (14851) sum(n4, n4) = all_4_89
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_88, n4, n4,
% 259.13/65.78 | | | | | | | | | | | simplifying with (54), (14850) gives:
% 259.13/65.78 | | | | | | | | | | | (14852) all_4_88 = n8
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_89, all_4_88, n4, n4,
% 259.13/65.78 | | | | | | | | | | | simplifying with (14850), (14851) gives:
% 259.13/65.78 | | | | | | | | | | | (14853) all_4_88 = all_4_89
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | COMBINE_EQS: (14852), (14853) imply:
% 259.13/65.78 | | | | | | | | | | | (14854) all_4_89 = n8
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (242), (14852) imply:
% 259.13/65.78 | | | | | | | | | | | (14855) pred(n8) = all_4_28
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (241), (14854) imply:
% 259.13/65.78 | | | | | | | | | | | (14856) pred(n8) = all_4_31
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (211), (14852) imply:
% 259.13/65.78 | | | | | | | | | | | (14857) succ(n8) = all_4_30
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | REDUCE: (210), (14854) imply:
% 259.13/65.78 | | | | | | | | | | | (14858) succ(n8) = all_4_27
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | BETA: splitting (14674) gives:
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | (14859) ~ (all_4_86 = all_4_87)
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_27, n8,
% 259.13/65.78 | | | | | | | | | | | | simplifying with (195), (14858) gives:
% 259.13/65.78 | | | | | | | | | | | | (14860) all_4_27 = n9
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (163), (164), (165),
% 259.13/65.78 | | | | | | | | | | | | (166), (167), (168), (226), (14855), (14856),
% 259.13/65.78 | | | | | | | | | | | | (14857), (14858), (14859), (14860) are
% 259.13/65.78 | | | | | | | | | | | | inconsistent by sub-proof #153.
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | Case 2:
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | (14861) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 259.13/65.78 | | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 259.13/65.78 | | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 259.13/65.78 | | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.13/65.78 | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.13/65.78 | | | | | | | | | | | | (152), (153), (154), (155), (156), (157), (158),
% 259.13/65.78 | | | | | | | | | | | | (159), (160), (161), (162), (189), (193), (194),
% 259.13/65.78 | | | | | | | | | | | | (220), (224), (225), (14698), (14699), (14727),
% 259.13/65.78 | | | | | | | | | | | | (14729), (14758), (14760), (14761), (14762),
% 259.13/65.78 | | | | | | | | | | | | (14763), (14764), (14793), (14794), (14795),
% 259.13/65.78 | | | | | | | | | | | | (14796), (14824), (14825), (14826), (14827),
% 259.13/65.78 | | | | | | | | | | | | (14861) are inconsistent by sub-proof #68.
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | End of split
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | Case 2:
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | (14862) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 259.13/65.78 | | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.13/65.78 | | | | | | | | | | | all_4_101 = n0
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | BETA: splitting (14674) gives:
% 259.13/65.78 | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | (14863) ~ (all_4_86 = all_4_87)
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | BETA: splitting (14862) gives:
% 259.13/65.78 | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | (14864) all_4_101 = n6
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (229), (14864) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14865) pred(n6) = all_4_79
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (198), (14864) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14866) succ(n6) = all_4_75
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (193), (14866) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14867) all_4_75 = n7
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (224), (14865) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14868) all_4_79 = n5
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (128), (14867), (14868) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14869) sum(n5, n7) = all_4_73
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (14682), (14868) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14870) sum(n5, n9) = all_4_77
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (14680), (14867) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14871) sum(n7, n7) = all_4_74
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (68), (14869) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14872) all_4_73 = n1
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n9, n5,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (70), (14870) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14873) all_4_77 = n3
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n7, n7,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (90), (14871) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14874) all_4_74 = n3
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (14684), (14872) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14875) sum(n1, n5) = all_4_98
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REDUCE: (129), (14873), (14874) imply:
% 259.13/65.78 | | | | | | | | | | | | | (14876) sum(n3, n3) = all_4_99
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n5, n1,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (22), (14875) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14877) all_4_98 = n6
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.13/65.78 | | | | | | | | | | | | | simplifying with (42), (14876) gives:
% 259.13/65.78 | | | | | | | | | | | | | (14878) all_4_99 = n6
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.13/65.78 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.78 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.78 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.78 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.78 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.78 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.13/65.78 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.13/65.78 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.13/65.78 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.13/65.78 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.13/65.78 | | | | | | | | | | | | | (240), (241), (242), (14863), (14876), (14877),
% 259.13/65.78 | | | | | | | | | | | | | (14878) are inconsistent by sub-proof #151.
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | Case 2:
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | (14879) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.13/65.78 | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | BETA: splitting (14879) gives:
% 259.13/65.78 | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | (14880) all_4_101 = n5
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (229), (14880) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14881) pred(n5) = all_4_79
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (198), (14880) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14882) succ(n5) = all_4_75
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (192), (14882) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14883) all_4_75 = n6
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (223), (14881) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14884) all_4_79 = n4
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (128), (14883), (14884) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14885) sum(n4, n6) = all_4_73
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (14682), (14884) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14886) sum(n4, n9) = all_4_77
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (14680), (14883) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14887) sum(n7, n6) = all_4_74
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (56), (14885) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14888) all_4_73 = n10
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n9, n4,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (59), (14886) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14889) all_4_77 = n2
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n6, n7,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (89), (14887) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14890) all_4_74 = n2
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (14684), (14888) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14891) sum(n10, n5) = all_4_98
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REDUCE: (129), (14889), (14890) imply:
% 259.13/65.78 | | | | | | | | | | | | | | (14892) sum(n2, n2) = all_4_99
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (30), (14892) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14893) all_4_99 = n4
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n5, n10,
% 259.13/65.78 | | | | | | | | | | | | | | simplifying with (121), (14891) gives:
% 259.13/65.78 | | | | | | | | | | | | | | (14894) all_4_98 = n4
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.13/65.78 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.78 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.78 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.78 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.78 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.78 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.13/65.78 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.13/65.78 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.13/65.78 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.13/65.78 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.13/65.78 | | | | | | | | | | | | | | (240), (241), (242), (14863), (14892), (14893),
% 259.13/65.78 | | | | | | | | | | | | | | (14894) are inconsistent by sub-proof #150.
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | Case 2:
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | (14895) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.13/65.78 | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | BETA: splitting (14895) gives:
% 259.13/65.78 | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | (14896) all_4_101 = n4
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (229), (14896) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14897) pred(n4) = all_4_79
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (198), (14896) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14898) succ(n4) = all_4_75
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (191), (14898) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14899) all_4_75 = n5
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (222), (14897) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14900) all_4_79 = n3
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (128), (14899), (14900) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14901) sum(n3, n5) = all_4_73
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (14682), (14900) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14902) sum(n3, n9) = all_4_77
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (14680), (14899) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14903) sum(n7, n5) = all_4_74
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (44), (14901) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14904) all_4_73 = n8
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (48), (14902) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14905) all_4_77 = n1
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (88), (14903) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14906) all_4_74 = n1
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (14684), (14904) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14907) sum(n8, n5) = all_4_98
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REDUCE: (129), (14905), (14906) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | (14908) sum(n1, n1) = all_4_99
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (18), (14908) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14909) all_4_99 = n2
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 259.13/65.78 | | | | | | | | | | | | | | | simplifying with (99), (14907) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | (14910) all_4_98 = n2
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.13/65.78 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.78 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.78 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.78 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.78 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.78 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.13/65.78 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.13/65.78 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.13/65.78 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.13/65.78 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.13/65.78 | | | | | | | | | | | | | | | (240), (241), (242), (14863), (14908), (14909),
% 259.13/65.78 | | | | | | | | | | | | | | | (14910) are inconsistent by sub-proof #149.
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | Case 2:
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | (14911) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.13/65.78 | | | | | | | | | | | | | | | all_4_101 = n0
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | BETA: splitting (14911) gives:
% 259.13/65.78 | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | (14912) all_4_101 = n3
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (229), (14912) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14913) pred(n3) = all_4_79
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (198), (14912) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14914) succ(n3) = all_4_75
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (190), (14914) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14915) all_4_75 = n4
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (221), (14913) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14916) all_4_79 = n2
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (128), (14915), (14916) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14917) sum(n2, n4) = all_4_73
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (14682), (14916) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14918) sum(n2, n9) = all_4_77
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (14680), (14915) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14919) sum(n7, n4) = all_4_74
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (32), (14917) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14920) all_4_73 = n6
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (37), (14918) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14921) all_4_77 = n0
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (87), (14919) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14922) all_4_74 = n0
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (14684), (14920) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14923) sum(n6, n5) = all_4_98
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REDUCE: (129), (14921), (14922) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14924) sum(n0, n0) = all_4_99
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (6), (14924) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14925) all_4_99 = n0
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 259.13/65.78 | | | | | | | | | | | | | | | | simplifying with (77), (14923) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | (14926) all_4_98 = n0
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.13/65.78 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.78 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.78 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.78 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.78 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 259.13/65.78 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 259.13/65.78 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 259.13/65.78 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.13/65.78 | | | | | | | | | | | | | | | | (241), (242), (14863), (14924), (14925), (14926)
% 259.13/65.78 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | Case 2:
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | (14927) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | BETA: splitting (14927) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14928) all_4_101 = n2
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (229), (14928) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14929) pred(n2) = all_4_79
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (198), (14928) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14930) succ(n2) = all_4_75
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (189), (14930) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14931) all_4_75 = n3
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (220), (14929) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14932) all_4_79 = n1
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (128), (14931), (14932) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14933) sum(n1, n3) = all_4_73
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (14682), (14932) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14934) sum(n1, n9) = all_4_77
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (14680), (14931) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14935) sum(n7, n3) = all_4_74
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (20), (14933) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14936) all_4_73 = n4
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (26), (14934) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14937) all_4_77 = n10
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (86), (14935) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14938) all_4_74 = n10
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (14684), (14936) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14939) sum(n4, n5) = all_4_98
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | REDUCE: (129), (14937), (14938) imply:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14940) sum(n10, n10) = all_4_99
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (55), (14939) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14941) all_4_98 = n9
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.13/65.78 | | | | | | | | | | | | | | | | | simplifying with (126), (14940) gives:
% 259.13/65.78 | | | | | | | | | | | | | | | | | (14942) all_4_99 = n9
% 259.13/65.78 | | | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (240), (241), (242), (14863), (14940), (14941),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (14942) are inconsistent by sub-proof #146.
% 259.13/65.79 | | | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.79 | | | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | | | (14943) all_4_101 = n1 | all_4_101 = n0
% 259.13/65.79 | | | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (11), (15), (18), (20), (30),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (32), (33), (42), (44), (54), (56), (66), (68),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (78), (80), (84), (85), (90), (92), (102), (104),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (105), (114), (117), (125), (126), (128), (129),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (154), (155), (156), (157), (158), (159), (160),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (161), (162), (163), (164), (165), (166), (167),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (168), (187), (188), (189), (190), (191), (192),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (200),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (218), (219), (220),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 259.13/65.79 | | | | | | | | | | | | | | | | | (14674), (14680), (14682), (14684), (14943) are
% 259.13/65.79 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 259.13/65.79 | | | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | | End of split
% 259.13/65.79 | | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | End of split
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | End of split
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | End of split
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | End of split
% 259.13/65.79 | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | Case 2:
% 259.13/65.79 | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | (14944) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 259.13/65.79 | | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 259.13/65.79 | | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 259.13/65.79 | | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 259.13/65.79 | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | BETA: splitting (14862) gives:
% 259.13/65.79 | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | Case 1:
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | (14945) all_4_101 = n6
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (229), (14945) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14946) pred(n6) = all_4_79
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (198), (14945) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14947) succ(n6) = all_4_75
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (193), (14947) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14948) all_4_75 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (224), (14946) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14949) all_4_79 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (128), (14948), (14949) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14950) sum(n5, n7) = all_4_73
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (14682), (14949) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14951) sum(n5, n9) = all_4_77
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (14680), (14948) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14952) sum(n7, n7) = all_4_74
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (68), (14950) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14953) all_4_73 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n9, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (70), (14951) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14954) all_4_77 = n3
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n7, n7,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (90), (14952) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14955) all_4_74 = n3
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (14684), (14953) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14956) sum(n1, n5) = all_4_98
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (129), (14954), (14955) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14957) sum(n3, n3) = all_4_99
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n5, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (22), (14956) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14958) all_4_98 = n6
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (42), (14957) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14959) all_4_99 = n6
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (232), (14958) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14960) pred(n6) = all_4_68
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (231), (14959) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14961) pred(n6) = all_4_71
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (201), (14958) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14962) succ(n6) = all_4_70
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (200), (14959) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14963) succ(n6) = all_4_67
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (193), (14963) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14964) all_4_67 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14962), (14963) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14965) all_4_67 = all_4_70
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (224), (14960) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14966) all_4_68 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14960), (14961) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14967) all_4_68 = all_4_71
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14964), (14965) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14968) all_4_70 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (14968) implies:
% 259.13/65.79 | | | | | | | | | | | | | (14969) all_4_70 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14966), (14967) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14970) all_4_71 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (137), (14964), (14966) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14971) sum(n5, n7) = all_4_66
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (136), (14966), (14969) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14972) sum(n5, n7) = all_4_64
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (134), (14964), (14970) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14973) sum(n5, n7) = all_4_65
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (133), (14969), (14970) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14974) sum(n5, n7) = all_4_69
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (68), (14973) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14975) all_4_65 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14971), (14973) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14976) all_4_65 = all_4_66
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14971), (14972) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14977) all_4_64 = all_4_66
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14972), (14974) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14978) all_4_64 = all_4_69
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14977), (14978) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14979) all_4_66 = all_4_69
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (14979) implies:
% 259.13/65.79 | | | | | | | | | | | | | (14980) all_4_66 = all_4_69
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14975), (14976) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14981) all_4_66 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (14981) implies:
% 259.13/65.79 | | | | | | | | | | | | | (14982) all_4_66 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14980), (14982) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14983) all_4_69 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14978), (14983) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14984) all_4_64 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (138), (14975), (14984) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14985) sum(n1, n1) = all_4_96
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (135), (14982), (14983) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14986) sum(n1, n1) = all_4_97
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (18), (14985) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14987) all_4_96 = n2
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14985), (14986) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14988) all_4_96 = all_4_97
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14987), (14988) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14989) all_4_97 = n2
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (234), (14987) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14990) pred(n2) = all_4_60
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (233), (14989) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14991) pred(n2) = all_4_63
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (203), (14987) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14992) succ(n2) = all_4_62
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (202), (14989) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14993) succ(n2) = all_4_59
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (189), (14993) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14994) all_4_59 = n3
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14992), (14993) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14995) all_4_59 = all_4_62
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (220), (14990) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14996) all_4_60 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (14990), (14991) gives:
% 259.13/65.79 | | | | | | | | | | | | | (14997) all_4_60 = all_4_63
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14994), (14995) imply:
% 259.13/65.79 | | | | | | | | | | | | | (14998) all_4_62 = n3
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (14998) implies:
% 259.13/65.79 | | | | | | | | | | | | | (14999) all_4_62 = n3
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (14996), (14997) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15000) all_4_63 = n1
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (143), (14994), (14996) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15001) sum(n1, n3) = all_4_58
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (142), (14996), (14999) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15002) sum(n1, n3) = all_4_56
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (140), (14994), (15000) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15003) sum(n1, n3) = all_4_57
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (139), (14999), (15000) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15004) sum(n1, n3) = all_4_61
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_58, n3, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (20), (15001) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15005) all_4_58 = n4
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15001), (15003) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15006) all_4_57 = all_4_58
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15002), (15003) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15007) all_4_56 = all_4_57
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15002), (15004) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15008) all_4_56 = all_4_61
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15007), (15008) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15009) all_4_57 = all_4_61
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15009) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15010) all_4_57 = all_4_61
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15006), (15010) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15011) all_4_58 = all_4_61
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15011) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15012) all_4_58 = all_4_61
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15005), (15012) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15013) all_4_61 = n4
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15010), (15013) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15014) all_4_57 = n4
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15008), (15013) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15015) all_4_56 = n4
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (144), (15014), (15015) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15016) sum(n4, n4) = all_4_94
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (141), (15005), (15013) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15017) sum(n4, n4) = all_4_95
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (54), (15016) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15018) all_4_94 = n8
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15016), (15017) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15019) all_4_94 = all_4_95
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15018), (15019) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15020) all_4_95 = n8
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (236), (15018) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15021) pred(n8) = all_4_52
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (235), (15020) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15022) pred(n8) = all_4_55
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (205), (15018) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15023) succ(n8) = all_4_54
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (204), (15020) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15024) succ(n8) = all_4_51
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (195), (15024) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15025) all_4_51 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n8,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15023), (15024) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15026) all_4_51 = all_4_54
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_52, n8,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (226), (15021) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15027) all_4_52 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n8,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15021), (15022) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15028) all_4_52 = all_4_55
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15025), (15026) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15029) all_4_54 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15029) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15030) all_4_54 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15027), (15028) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15031) all_4_55 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (149), (15025), (15027) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15032) sum(n7, n9) = all_4_50
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (148), (15027), (15030) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15033) sum(n7, n9) = all_4_48
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (146), (15025), (15031) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15034) sum(n7, n9) = all_4_49
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (145), (15030), (15031) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15035) sum(n7, n9) = all_4_53
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_50, n9, n7,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (92), (15032) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15036) all_4_50 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n9, n7,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15032), (15034) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15037) all_4_49 = all_4_50
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n9, n7,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15033), (15034) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15038) all_4_48 = all_4_49
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n9, n7,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15033), (15035) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15039) all_4_48 = all_4_53
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15038), (15039) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15040) all_4_49 = all_4_53
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15040) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15041) all_4_49 = all_4_53
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15037), (15041) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15042) all_4_50 = all_4_53
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15042) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15043) all_4_50 = all_4_53
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15036), (15043) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15044) all_4_53 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15041), (15044) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15045) all_4_49 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15039), (15044) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15046) all_4_48 = n5
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (150), (15045), (15046) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15047) sum(n5, n5) = all_4_92
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (147), (15036), (15044) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15048) sum(n5, n5) = all_4_93
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_92, n5, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (66), (15047) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15049) all_4_92 = n10
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n5, n5,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15047), (15048) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15050) all_4_92 = all_4_93
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15049), (15050) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15051) all_4_93 = n10
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15051) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15052) all_4_93 = n10
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (238), (15049) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15053) pred(n10) = all_4_44
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (237), (15052) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15054) pred(n10) = all_4_47
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (207), (15049) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15055) succ(n10) = all_4_46
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (206), (15052) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15056) succ(n10) = all_4_43
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_43, n10,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (197), (15056) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15057) all_4_43 = n0
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n10,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15055), (15056) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15058) all_4_43 = all_4_46
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_44, n10,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (228), (15053) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15059) all_4_44 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n10,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15053), (15054) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15060) all_4_44 = all_4_47
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15057), (15058) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15061) all_4_46 = n0
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15061) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15062) all_4_46 = n0
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15059), (15060) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15063) all_4_47 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (155), (15057), (15059) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15064) sum(n9, n0) = all_4_42
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (154), (15059), (15062) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15065) sum(n9, n0) = all_4_40
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (152), (15057), (15063) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15066) sum(n9, n0) = all_4_41
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (151), (15062), (15063) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15067) sum(n9, n0) = all_4_45
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_42, n0, n9,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (105), (15064) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15068) all_4_42 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n0, n9,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15064), (15066) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15069) all_4_41 = all_4_42
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n0, n9,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15065), (15066) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15070) all_4_40 = all_4_41
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n0, n9,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15065), (15067) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15071) all_4_40 = all_4_45
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15070), (15071) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15072) all_4_41 = all_4_45
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15072) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15073) all_4_41 = all_4_45
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15069), (15073) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15074) all_4_42 = all_4_45
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | SIMP: (15074) implies:
% 259.13/65.79 | | | | | | | | | | | | | (15075) all_4_42 = all_4_45
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15068), (15075) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15076) all_4_45 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15073), (15076) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15077) all_4_41 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15071), (15076) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15078) all_4_40 = n9
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (156), (15077), (15078) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15079) sum(n9, n9) = all_4_90
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (153), (15068), (15076) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15080) sum(n9, n9) = all_4_91
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_90, n9, n9,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (114), (15079) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15081) all_4_90 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n9, n9,
% 259.13/65.79 | | | | | | | | | | | | | simplifying with (15079), (15080) gives:
% 259.13/65.79 | | | | | | | | | | | | | (15082) all_4_90 = all_4_91
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | COMBINE_EQS: (15081), (15082) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15083) all_4_91 = n7
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (240), (15081) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15084) pred(n7) = all_4_36
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (239), (15083) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15085) pred(n7) = all_4_39
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (209), (15081) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15086) succ(n7) = all_4_38
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | REDUCE: (208), (15083) imply:
% 259.13/65.79 | | | | | | | | | | | | | (15087) succ(n7) = all_4_35
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | BETA: splitting (14944) gives:
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | Case 1:
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | (15088) ~ (all_4_88 = all_4_89)
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_35, n7,
% 259.13/65.79 | | | | | | | | | | | | | | simplifying with (194), (15087) gives:
% 259.13/65.79 | | | | | | | | | | | | | | (15089) all_4_35 = n8
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (157), (158), (159),
% 259.13/65.79 | | | | | | | | | | | | | | (160), (161), (162), (225), (15084), (15085),
% 259.13/65.79 | | | | | | | | | | | | | | (15086), (15087), (15088), (15089) are
% 259.13/65.79 | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | Case 2:
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | (15090) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.13/65.79 | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.13/65.79 | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 259.13/65.79 | | | | | | | | | | | | | | (114), (139), (140), (141), (142), (143), (144),
% 259.13/65.79 | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.13/65.79 | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (195),
% 259.13/65.79 | | | | | | | | | | | | | | (197), (220), (226), (228), (14958), (14959),
% 259.13/65.79 | | | | | | | | | | | | | | (14987), (14989), (14990), (14991), (14992),
% 259.13/65.79 | | | | | | | | | | | | | | (14993), (15021), (15022), (15023), (15024),
% 259.13/65.79 | | | | | | | | | | | | | | (15053), (15054), (15055), (15056), (15090) are
% 259.13/65.79 | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | End of split
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | Case 2:
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | (15091) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.13/65.79 | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | BETA: splitting (14944) gives:
% 259.13/65.79 | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | Case 1:
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | (15092) ~ (all_4_88 = all_4_89)
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | BETA: splitting (15091) gives:
% 259.13/65.79 | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | Case 1:
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | (15093) all_4_101 = n5
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (229), (15093) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15094) pred(n5) = all_4_79
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (198), (15093) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15095) succ(n5) = all_4_75
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (192), (15095) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15096) all_4_75 = n6
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (223), (15094) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15097) all_4_79 = n4
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (128), (15096), (15097) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15098) sum(n4, n6) = all_4_73
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (14682), (15097) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15099) sum(n4, n9) = all_4_77
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (14680), (15096) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15100) sum(n7, n6) = all_4_74
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (56), (15098) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15101) all_4_73 = n10
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n9, n4,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (59), (15099) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15102) all_4_77 = n2
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n6, n7,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (89), (15100) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15103) all_4_74 = n2
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (14684), (15101) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15104) sum(n10, n5) = all_4_98
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | REDUCE: (129), (15102), (15103) imply:
% 259.13/65.79 | | | | | | | | | | | | | | | (15105) sum(n2, n2) = all_4_99
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (30), (15105) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15106) all_4_99 = n4
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n5, n10,
% 259.13/65.79 | | | | | | | | | | | | | | | simplifying with (121), (15104) gives:
% 259.13/65.79 | | | | | | | | | | | | | | | (15107) all_4_98 = n4
% 259.13/65.79 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.13/65.80 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.13/65.80 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.80 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.80 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.80 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.13/65.80 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.13/65.80 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.13/65.80 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.13/65.80 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.13/65.80 | | | | | | | | | | | | | | | (15092), (15105), (15106), (15107) are
% 259.13/65.80 | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | Case 2:
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | (15108) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.13/65.80 | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | BETA: splitting (15108) gives:
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | Case 1:
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | (15109) all_4_101 = n4
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (229), (15109) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15110) pred(n4) = all_4_79
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (198), (15109) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15111) succ(n4) = all_4_75
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (191), (15111) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15112) all_4_75 = n5
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (222), (15110) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15113) all_4_79 = n3
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (128), (15112), (15113) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15114) sum(n3, n5) = all_4_73
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (14682), (15113) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15115) sum(n3, n9) = all_4_77
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (14680), (15112) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15116) sum(n7, n5) = all_4_74
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (44), (15114) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15117) all_4_73 = n8
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (48), (15115) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15118) all_4_77 = n1
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (88), (15116) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15119) all_4_74 = n1
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (14684), (15117) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15120) sum(n8, n5) = all_4_98
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REDUCE: (129), (15118), (15119) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15121) sum(n1, n1) = all_4_99
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (18), (15121) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15122) all_4_99 = n2
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 259.13/65.80 | | | | | | | | | | | | | | | | simplifying with (99), (15120) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | (15123) all_4_98 = n2
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.13/65.80 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.13/65.80 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.80 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.80 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.80 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.13/65.80 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.13/65.80 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.13/65.80 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.13/65.80 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.13/65.80 | | | | | | | | | | | | | | | | (15092), (15121), (15122), (15123) are
% 259.13/65.80 | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | Case 2:
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | (15124) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.13/65.80 | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | BETA: splitting (15124) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15125) all_4_101 = n3
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (229), (15125) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15126) pred(n3) = all_4_79
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (198), (15125) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15127) succ(n3) = all_4_75
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (190), (15127) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15128) all_4_75 = n4
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (221), (15126) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15129) all_4_79 = n2
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (128), (15128), (15129) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15130) sum(n2, n4) = all_4_73
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (14682), (15129) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15131) sum(n2, n9) = all_4_77
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (14680), (15128) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15132) sum(n7, n4) = all_4_74
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (32), (15130) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15133) all_4_73 = n6
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (37), (15131) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15134) all_4_77 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (87), (15132) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15135) all_4_74 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (14684), (15133) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15136) sum(n6, n5) = all_4_98
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REDUCE: (129), (15134), (15135) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15137) sum(n0, n0) = all_4_99
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (6), (15137) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15138) all_4_99 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 259.13/65.80 | | | | | | | | | | | | | | | | | simplifying with (77), (15136) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15139) all_4_98 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (15092),
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15137), (15138), (15139) are inconsistent by
% 259.13/65.80 | | | | | | | | | | | | | | | | | sub-proof #131.
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | (15140) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | BETA: splitting (15140) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | Case 1:
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15141) all_4_101 = n2
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (229), (15141) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15142) pred(n2) = all_4_79
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (198), (15141) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15143) succ(n2) = all_4_75
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (189), (15143) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15144) all_4_75 = n3
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (220), (15142) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15145) all_4_79 = n1
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (128), (15144), (15145) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15146) sum(n1, n3) = all_4_73
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15145) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15147) sum(n1, n9) = all_4_77
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15144) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15148) sum(n7, n3) = all_4_74
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (20), (15146) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15149) all_4_73 = n4
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (26), (15147) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15150) all_4_77 = n10
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (86), (15148) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15151) all_4_74 = n10
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15149) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15152) sum(n4, n5) = all_4_98
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REDUCE: (129), (15150), (15151) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15153) sum(n10, n10) = all_4_99
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (55), (15152) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15154) all_4_98 = n9
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.13/65.80 | | | | | | | | | | | | | | | | | | simplifying with (126), (15153) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15155) all_4_99 = n9
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15092), (15153), (15154), (15155) are
% 259.13/65.80 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | Case 2:
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (15156) all_4_101 = n1 | all_4_101 = n0
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (11), (15), (18), (20), (30),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (32), (33), (42), (44), (54), (56), (66), (68),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (78), (80), (84), (85), (90), (92), (102), (104),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (105), (114), (117), (125), (126), (128), (129),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (154), (155), (156), (157), (158), (159), (160),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (161), (162), (163), (164), (165), (166), (167),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (168), (187), (188), (189), (190), (191), (192),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (200),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (218), (219), (220),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 259.13/65.80 | | | | | | | | | | | | | | | | | | (14674), (14680), (14682), (14684), (15156) are
% 259.13/65.80 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 259.13/65.80 | | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | | End of split
% 259.13/65.80 | | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | | End of split
% 259.13/65.80 | | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | End of split
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | End of split
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | Case 2:
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | (15157) all_4_88 = all_4_89
% 259.13/65.80 | | | | | | | | | | | | | | (15158) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.13/65.80 | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.13/65.80 | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | REDUCE: (242), (15157) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15159) pred(all_4_89) = all_4_28
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | REDUCE: (211), (15157) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15160) succ(all_4_89) = all_4_30
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_27, all_4_30,
% 259.13/65.80 | | | | | | | | | | | | | | all_4_89, simplifying with (210), (15160) gives:
% 259.13/65.80 | | | | | | | | | | | | | | (15161) all_4_27 = all_4_30
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_31, all_4_28,
% 259.13/65.80 | | | | | | | | | | | | | | all_4_89, simplifying with (241), (15159) gives:
% 259.13/65.80 | | | | | | | | | | | | | | (15162) all_4_28 = all_4_31
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | REDUCE: (167), (15161), (15162) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15163) sum(all_4_31, all_4_30) = all_4_26
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | REDUCE: (166), (15162) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15164) sum(all_4_31, all_4_30) = all_4_24
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | REDUCE: (164), (15161) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15165) sum(all_4_31, all_4_30) = all_4_25
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_29, all_4_25,
% 259.13/65.80 | | | | | | | | | | | | | | all_4_30, all_4_31, simplifying with (163),
% 259.13/65.80 | | | | | | | | | | | | | | (15165) gives:
% 259.13/65.80 | | | | | | | | | | | | | | (15166) all_4_25 = all_4_29
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_25, all_4_24,
% 259.13/65.80 | | | | | | | | | | | | | | all_4_30, all_4_31, simplifying with (15164),
% 259.13/65.80 | | | | | | | | | | | | | | (15165) gives:
% 259.13/65.80 | | | | | | | | | | | | | | (15167) all_4_24 = all_4_25
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_26, all_4_24,
% 259.13/65.80 | | | | | | | | | | | | | | all_4_30, all_4_31, simplifying with (15163),
% 259.13/65.80 | | | | | | | | | | | | | | (15164) gives:
% 259.13/65.80 | | | | | | | | | | | | | | (15168) all_4_24 = all_4_26
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | COMBINE_EQS: (15167), (15168) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15169) all_4_25 = all_4_26
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | SIMP: (15169) implies:
% 259.13/65.80 | | | | | | | | | | | | | | (15170) all_4_25 = all_4_26
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | COMBINE_EQS: (15166), (15170) imply:
% 259.13/65.80 | | | | | | | | | | | | | | (15171) all_4_26 = all_4_29
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | BETA: splitting (15091) gives:
% 259.13/65.80 | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | Case 1:
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | (15172) all_4_101 = n5
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (229), (15172) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15173) pred(n5) = all_4_79
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (198), (15172) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15174) succ(n5) = all_4_75
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (192), (15174) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15175) all_4_75 = n6
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (223), (15173) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15176) all_4_79 = n4
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (128), (15175), (15176) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15177) sum(n4, n6) = all_4_73
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (14682), (15176) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15178) sum(n4, n9) = all_4_77
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (14680), (15175) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15179) sum(n7, n6) = all_4_74
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (56), (15177) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15180) all_4_73 = n10
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n9, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (59), (15178) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15181) all_4_77 = n2
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n6, n7,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (89), (15179) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15182) all_4_74 = n2
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (14684), (15180) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15183) sum(n10, n5) = all_4_98
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (129), (15181), (15182) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15184) sum(n2, n2) = all_4_99
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (30), (15184) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15185) all_4_99 = n4
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n5, n10,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (121), (15183) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15186) all_4_98 = n4
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (232), (15186) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15187) pred(n4) = all_4_68
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (231), (15185) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15188) pred(n4) = all_4_71
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (201), (15186) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15189) succ(n4) = all_4_70
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (200), (15185) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15190) succ(n4) = all_4_67
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (191), (15190) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15191) all_4_67 = n5
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15189), (15190) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15192) all_4_67 = all_4_70
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (222), (15187) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15193) all_4_68 = n3
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15187), (15188) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15194) all_4_68 = all_4_71
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15191), (15192) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15195) all_4_70 = n5
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | SIMP: (15195) implies:
% 259.13/65.80 | | | | | | | | | | | | | | | (15196) all_4_70 = n5
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15193), (15194) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15197) all_4_71 = n3
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (137), (15191), (15193) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15198) sum(n3, n5) = all_4_66
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (136), (15193), (15196) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15199) sum(n3, n5) = all_4_64
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (134), (15191), (15197) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15200) sum(n3, n5) = all_4_65
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (133), (15196), (15197) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15201) sum(n3, n5) = all_4_69
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (44), (15200) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15202) all_4_65 = n8
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15198), (15200) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15203) all_4_65 = all_4_66
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15198), (15199) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15204) all_4_64 = all_4_66
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15199), (15201) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15205) all_4_64 = all_4_69
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15204), (15205) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15206) all_4_66 = all_4_69
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | SIMP: (15206) implies:
% 259.13/65.80 | | | | | | | | | | | | | | | (15207) all_4_66 = all_4_69
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15202), (15203) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15208) all_4_66 = n8
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | SIMP: (15208) implies:
% 259.13/65.80 | | | | | | | | | | | | | | | (15209) all_4_66 = n8
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15207), (15209) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15210) all_4_69 = n8
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15205), (15210) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15211) all_4_64 = n8
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (138), (15202), (15211) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15212) sum(n8, n8) = all_4_96
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (135), (15209), (15210) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15213) sum(n8, n8) = all_4_97
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (102), (15212) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15214) all_4_96 = n5
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15212), (15213) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15215) all_4_96 = all_4_97
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15214), (15215) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15216) all_4_97 = n5
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (234), (15214) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15217) pred(n5) = all_4_60
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (233), (15216) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15218) pred(n5) = all_4_63
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (203), (15214) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15219) succ(n5) = all_4_62
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (202), (15216) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15220) succ(n5) = all_4_59
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (192), (15220) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15221) all_4_59 = n6
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n5,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15219), (15220) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15222) all_4_59 = all_4_62
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_60, n5,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (223), (15217) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15223) all_4_60 = n4
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n5,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (15217), (15218) gives:
% 259.13/65.80 | | | | | | | | | | | | | | | (15224) all_4_60 = all_4_63
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15221), (15222) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15225) all_4_62 = n6
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | SIMP: (15225) implies:
% 259.13/65.80 | | | | | | | | | | | | | | | (15226) all_4_62 = n6
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | COMBINE_EQS: (15223), (15224) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15227) all_4_63 = n4
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (143), (15221), (15223) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15228) sum(n4, n6) = all_4_58
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (142), (15223), (15226) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15229) sum(n4, n6) = all_4_56
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (140), (15221), (15227) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15230) sum(n4, n6) = all_4_57
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | REDUCE: (139), (15226), (15227) imply:
% 259.13/65.80 | | | | | | | | | | | | | | | (15231) sum(n4, n6) = all_4_61
% 259.13/65.80 | | | | | | | | | | | | | | |
% 259.13/65.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_58, n6, n4,
% 259.13/65.80 | | | | | | | | | | | | | | | simplifying with (56), (15228) gives:
% 259.13/65.81 | | | | | | | | | | | | | | | (15232) all_4_58 = n10
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n6, n4,
% 259.13/65.81 | | | | | | | | | | | | | | | simplifying with (15228), (15230) gives:
% 259.13/65.81 | | | | | | | | | | | | | | | (15233) all_4_57 = all_4_58
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n6, n4,
% 259.13/65.81 | | | | | | | | | | | | | | | simplifying with (15229), (15230) gives:
% 259.13/65.81 | | | | | | | | | | | | | | | (15234) all_4_56 = all_4_57
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n6, n4,
% 259.13/65.81 | | | | | | | | | | | | | | | simplifying with (15229), (15231) gives:
% 259.13/65.81 | | | | | | | | | | | | | | | (15235) all_4_56 = all_4_61
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15234), (15235) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15236) all_4_57 = all_4_61
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | SIMP: (15236) implies:
% 259.13/65.81 | | | | | | | | | | | | | | | (15237) all_4_57 = all_4_61
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15233), (15237) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15238) all_4_58 = all_4_61
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | SIMP: (15238) implies:
% 259.13/65.81 | | | | | | | | | | | | | | | (15239) all_4_58 = all_4_61
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15232), (15239) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15240) all_4_61 = n10
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15237), (15240) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15241) all_4_57 = n10
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15235), (15240) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15242) all_4_56 = n10
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | REDUCE: (144), (15241), (15242) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15243) sum(n10, n10) = all_4_94
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | REDUCE: (141), (15232), (15240) imply:
% 259.13/65.81 | | | | | | | | | | | | | | | (15244) sum(n10, n10) = all_4_95
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_94, n10, n10,
% 259.13/65.81 | | | | | | | | | | | | | | | simplifying with (126), (15243) gives:
% 259.13/65.81 | | | | | | | | | | | | | | | (15245) all_4_94 = n9
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n10,
% 259.13/65.81 | | | | | | | | | | | | | | | n10, simplifying with (15243), (15244) gives:
% 259.13/65.81 | | | | | | | | | | | | | | | (15246) all_4_94 = all_4_95
% 259.13/65.81 | | | | | | | | | | | | | | |
% 259.13/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15245), (15246) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15247) all_4_95 = n9
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (236), (15245) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15248) pred(n9) = all_4_52
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (235), (15247) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15249) pred(n9) = all_4_55
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (205), (15245) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15250) succ(n9) = all_4_54
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (204), (15247) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15251) succ(n9) = all_4_51
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_51, n9,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (196), (15251) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15252) all_4_51 = n10
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n9,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (15250), (15251) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15253) all_4_51 = all_4_54
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_52, n9,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (227), (15248) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15254) all_4_52 = n8
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n9,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (15248), (15249) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15255) all_4_52 = all_4_55
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15252), (15253) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15256) all_4_54 = n10
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | SIMP: (15256) implies:
% 259.34/65.81 | | | | | | | | | | | | | | | (15257) all_4_54 = n10
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15254), (15255) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15258) all_4_55 = n8
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (149), (15252), (15254) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15259) sum(n8, n10) = all_4_50
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (148), (15254), (15257) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15260) sum(n8, n10) = all_4_48
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (146), (15252), (15258) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15261) sum(n8, n10) = all_4_49
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (145), (15257), (15258) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15262) sum(n8, n10) = all_4_53
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_50, n10, n8,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (104), (15259) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15263) all_4_50 = n7
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n10,
% 259.34/65.81 | | | | | | | | | | | | | | | n8, simplifying with (15259), (15261) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15264) all_4_49 = all_4_50
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n10,
% 259.34/65.81 | | | | | | | | | | | | | | | n8, simplifying with (15260), (15261) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15265) all_4_48 = all_4_49
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n10,
% 259.34/65.81 | | | | | | | | | | | | | | | n8, simplifying with (15260), (15262) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15266) all_4_48 = all_4_53
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15265), (15266) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15267) all_4_49 = all_4_53
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | SIMP: (15267) implies:
% 259.34/65.81 | | | | | | | | | | | | | | | (15268) all_4_49 = all_4_53
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15264), (15268) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15269) all_4_50 = all_4_53
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | SIMP: (15269) implies:
% 259.34/65.81 | | | | | | | | | | | | | | | (15270) all_4_50 = all_4_53
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15263), (15270) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15271) all_4_53 = n7
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15268), (15271) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15272) all_4_49 = n7
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15266), (15271) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15273) all_4_48 = n7
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (150), (15272), (15273) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15274) sum(n7, n7) = all_4_92
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (147), (15263), (15271) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15275) sum(n7, n7) = all_4_93
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_92, n7, n7,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (90), (15274) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15276) all_4_92 = n3
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n7, n7,
% 259.34/65.81 | | | | | | | | | | | | | | | simplifying with (15274), (15275) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | (15277) all_4_92 = all_4_93
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | COMBINE_EQS: (15276), (15277) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15278) all_4_93 = n3
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | SIMP: (15278) implies:
% 259.34/65.81 | | | | | | | | | | | | | | | (15279) all_4_93 = n3
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (238), (15276) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15280) pred(n3) = all_4_44
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (237), (15279) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15281) pred(n3) = all_4_47
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (207), (15276) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15282) succ(n3) = all_4_46
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | REDUCE: (206), (15279) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | (15283) succ(n3) = all_4_43
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | BETA: splitting (15158) gives:
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | Case 1:
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_43, n3,
% 259.34/65.81 | | | | | | | | | | | | | | | | simplifying with (190), (15283) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15284) all_4_43 = n4
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 259.34/65.81 | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.34/65.81 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.81 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.81 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (191),
% 259.34/65.81 | | | | | | | | | | | | | | | | (192), (196), (221), (222), (223), (227), (15158),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15185), (15186), (15187), (15188), (15189),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15190), (15217), (15218), (15219), (15220),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15248), (15249), (15250), (15251), (15280),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15281), (15282), (15283), (15284) are
% 259.34/65.81 | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | Case 2:
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | (15285) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.34/65.81 | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 259.34/65.81 | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 259.34/65.81 | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.34/65.81 | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 259.34/65.81 | | | | | | | | | | | | | | | | (196), (222), (223), (227), (15185), (15186),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15187), (15188), (15189), (15190), (15217),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15218), (15219), (15220), (15248), (15249),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15250), (15251), (15285) are inconsistent by
% 259.34/65.81 | | | | | | | | | | | | | | | | sub-proof #64.
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | End of split
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | Case 2:
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | (15286) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.34/65.81 | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | BETA: splitting (15158) gives:
% 259.34/65.81 | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | Case 1:
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | (15287) ~ (all_4_90 = all_4_91)
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | BETA: splitting (15286) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15288) all_4_101 = n4
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (229), (15288) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15289) pred(n4) = all_4_79
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (198), (15288) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15290) succ(n4) = all_4_75
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (191), (15290) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15291) all_4_75 = n5
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (222), (15289) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15292) all_4_79 = n3
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (128), (15291), (15292) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15293) sum(n3, n5) = all_4_73
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (14682), (15292) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15294) sum(n3, n9) = all_4_77
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (14680), (15291) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15295) sum(n7, n5) = all_4_74
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (44), (15293) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15296) all_4_73 = n8
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (48), (15294) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15297) all_4_77 = n1
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (88), (15295) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15298) all_4_74 = n1
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (14684), (15296) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15299) sum(n8, n5) = all_4_98
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REDUCE: (129), (15297), (15298) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15300) sum(n1, n1) = all_4_99
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (18), (15300) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15301) all_4_99 = n2
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 259.34/65.81 | | | | | | | | | | | | | | | | | simplifying with (99), (15299) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15302) all_4_98 = n2
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.34/65.81 | | | | | | | | | | | | | | | | | (238), (15287), (15301), (15302) are inconsistent
% 259.34/65.81 | | | | | | | | | | | | | | | | | by sub-proof #60.
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | (15303) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.34/65.81 | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | BETA: splitting (15303) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15304) all_4_101 = n3
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (229), (15304) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15305) pred(n3) = all_4_79
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (198), (15304) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15306) succ(n3) = all_4_75
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (190), (15306) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15307) all_4_75 = n4
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (221), (15305) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15308) all_4_79 = n2
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (128), (15307), (15308) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15309) sum(n2, n4) = all_4_73
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15308) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15310) sum(n2, n9) = all_4_77
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15307) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15311) sum(n7, n4) = all_4_74
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (32), (15309) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15312) all_4_73 = n6
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (37), (15310) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15313) all_4_77 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (87), (15311) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15314) all_4_74 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15312) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15315) sum(n6, n5) = all_4_98
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REDUCE: (129), (15313), (15314) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15316) sum(n0, n0) = all_4_99
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (6), (15316) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15317) all_4_99 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | simplifying with (77), (15315) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15318) all_4_98 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (236), (237), (238), (15287), (15316), (15317),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15318) are inconsistent by sub-proof #59.
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | (15319) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | BETA: splitting (15319) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15320) all_4_101 = n2
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (15320) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15321) pred(n2) = all_4_79
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (15320) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15322) succ(n2) = all_4_75
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (189), (15322) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15323) all_4_75 = n3
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (220), (15321) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15324) all_4_79 = n1
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15323), (15324) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15325) sum(n1, n3) = all_4_73
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15324) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15326) sum(n1, n9) = all_4_77
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15323) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15327) sum(n7, n3) = all_4_74
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (20), (15325) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15328) all_4_73 = n4
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (26), (15326) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15329) all_4_77 = n10
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (86), (15327) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15330) all_4_74 = n10
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15328) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15331) sum(n4, n5) = all_4_98
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15329), (15330) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15332) sum(n10, n10) = all_4_99
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (55), (15331) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15333) all_4_98 = n9
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | simplifying with (126), (15332) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15334) all_4_99 = n9
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (238), (15287), (15333), (15334) are inconsistent
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (15335) all_4_101 = n1 | all_4_101 = n0
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (11), (15), (18), (20), (30),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (32), (33), (42), (44), (54), (56), (66), (68),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (78), (80), (84), (85), (90), (92), (102), (104),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (105), (114), (117), (125), (126), (128), (129),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (154), (155), (156), (157), (158), (159), (160),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (161), (162), (163), (164), (165), (166), (167),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (168), (187), (188), (189), (190), (191), (192),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (200),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (218), (219), (220),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | (14674), (14680), (14682), (14684), (15335) are
% 259.34/65.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 259.34/65.81 | | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.81 | | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.81 | | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | End of split
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | Case 2:
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | (15336) all_4_90 = all_4_91
% 259.34/65.81 | | | | | | | | | | | | | | | | (15337) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.34/65.81 | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REDUCE: (240), (15336) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15338) pred(all_4_91) = all_4_36
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REDUCE: (209), (15336) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15339) succ(all_4_91) = all_4_38
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_35, all_4_38,
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_91, simplifying with (208), (15339) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15340) all_4_35 = all_4_38
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36,
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_91, simplifying with (239), (15338) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15341) all_4_36 = all_4_39
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REDUCE: (161), (15340), (15341) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15342) sum(all_4_39, all_4_38) = all_4_34
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REDUCE: (160), (15341) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15343) sum(all_4_39, all_4_38) = all_4_32
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | REDUCE: (158), (15340) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15344) sum(all_4_39, all_4_38) = all_4_33
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_33,
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_38, all_4_39, simplifying with (157),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15344) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15345) all_4_33 = all_4_37
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32,
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_38, all_4_39, simplifying with (15343),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15344) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15346) all_4_32 = all_4_33
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_32,
% 259.34/65.81 | | | | | | | | | | | | | | | | all_4_38, all_4_39, simplifying with (15342),
% 259.34/65.81 | | | | | | | | | | | | | | | | (15343) gives:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15347) all_4_32 = all_4_34
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (15346), (15347) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15348) all_4_33 = all_4_34
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | SIMP: (15348) implies:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15349) all_4_33 = all_4_34
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (15345), (15349) imply:
% 259.34/65.81 | | | | | | | | | | | | | | | | (15350) all_4_34 = all_4_37
% 259.34/65.81 | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | BETA: splitting (15286) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15351) all_4_101 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (229), (15351) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15352) pred(n4) = all_4_79
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (198), (15351) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15353) succ(n4) = all_4_75
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (191), (15353) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15354) all_4_75 = n5
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (222), (15352) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15355) all_4_79 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (128), (15354), (15355) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15356) sum(n3, n5) = all_4_73
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (14682), (15355) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15357) sum(n3, n9) = all_4_77
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (14680), (15354) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15358) sum(n7, n5) = all_4_74
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (44), (15356) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15359) all_4_73 = n8
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n9, n3,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (48), (15357) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15360) all_4_77 = n1
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n5, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (88), (15358) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15361) all_4_74 = n1
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (14684), (15359) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15362) sum(n8, n5) = all_4_98
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (129), (15360), (15361) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15363) sum(n1, n1) = all_4_99
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (18), (15363) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15364) all_4_99 = n2
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n5, n8,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (99), (15362) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15365) all_4_98 = n2
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (232), (15365) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15366) pred(n2) = all_4_68
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (231), (15364) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15367) pred(n2) = all_4_71
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (201), (15365) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15368) succ(n2) = all_4_70
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (200), (15364) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15369) succ(n2) = all_4_67
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (189), (15369) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15370) all_4_67 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15368), (15369) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15371) all_4_67 = all_4_70
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (220), (15366) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15372) all_4_68 = n1
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15366), (15367) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15373) all_4_68 = all_4_71
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15370), (15371) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15374) all_4_70 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | SIMP: (15374) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15375) all_4_70 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15372), (15373) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15376) all_4_71 = n1
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (137), (15370), (15372) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15377) sum(n1, n3) = all_4_66
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (136), (15372), (15375) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15378) sum(n1, n3) = all_4_64
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (134), (15370), (15376) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15379) sum(n1, n3) = all_4_65
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (133), (15375), (15376) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15380) sum(n1, n3) = all_4_69
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (20), (15379) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15381) all_4_65 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15377), (15379) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15382) all_4_65 = all_4_66
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15377), (15378) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15383) all_4_64 = all_4_66
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15378), (15380) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15384) all_4_64 = all_4_69
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15383), (15384) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15385) all_4_66 = all_4_69
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | SIMP: (15385) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15386) all_4_66 = all_4_69
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15381), (15382) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15387) all_4_66 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | SIMP: (15387) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15388) all_4_66 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15386), (15388) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15389) all_4_69 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15384), (15389) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15390) all_4_64 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (138), (15381), (15390) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15391) sum(n4, n4) = all_4_96
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (135), (15388), (15389) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15392) sum(n4, n4) = all_4_97
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (54), (15391) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15393) all_4_96 = n8
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15391), (15392) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15394) all_4_96 = all_4_97
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15393), (15394) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15395) all_4_97 = n8
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (234), (15393) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15396) pred(n8) = all_4_60
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (233), (15395) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15397) pred(n8) = all_4_63
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (203), (15393) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15398) succ(n8) = all_4_62
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (202), (15395) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15399) succ(n8) = all_4_59
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_59, n8,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (195), (15399) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15400) all_4_59 = n9
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n8,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15398), (15399) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15401) all_4_59 = all_4_62
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_60, n8,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (226), (15396) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15402) all_4_60 = n7
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n8,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15396), (15397) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15403) all_4_60 = all_4_63
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15400), (15401) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15404) all_4_62 = n9
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | SIMP: (15404) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15405) all_4_62 = n9
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15402), (15403) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15406) all_4_63 = n7
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (143), (15400), (15402) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15407) sum(n7, n9) = all_4_58
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (142), (15402), (15405) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15408) sum(n7, n9) = all_4_56
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (140), (15400), (15406) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15409) sum(n7, n9) = all_4_57
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REDUCE: (139), (15405), (15406) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15410) sum(n7, n9) = all_4_61
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_58, n9, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (92), (15407) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15411) all_4_58 = n5
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n9, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15407), (15409) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15412) all_4_57 = all_4_58
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n9, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15408), (15409) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15413) all_4_56 = all_4_57
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n9, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | simplifying with (15408), (15410) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15414) all_4_56 = all_4_61
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15413), (15414) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15415) all_4_57 = all_4_61
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | SIMP: (15415) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15416) all_4_57 = all_4_61
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15412), (15416) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15417) all_4_58 = all_4_61
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | SIMP: (15417) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15418) all_4_58 = all_4_61
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15411), (15418) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15419) all_4_61 = n5
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (15416), (15419) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15420) all_4_57 = n5
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (105), (114),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (195), (197),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (204), (205), (220), (226), (228), (235), (236),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15337), (15364), (15365), (15366), (15367),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15368), (15369), (15396), (15397), (15398),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15399), (15410), (15411), (15414), (15419),
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15420) are inconsistent by sub-proof #53.
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | (15421) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.34/65.82 | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | BETA: splitting (15337) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15422) ~ (all_4_92 = all_4_93)
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | BETA: splitting (15421) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15423) all_4_101 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (15423) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15424) pred(n3) = all_4_79
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (15423) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15425) succ(n3) = all_4_75
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (190), (15425) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15426) all_4_75 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (221), (15424) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15427) all_4_79 = n2
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15426), (15427) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15428) sum(n2, n4) = all_4_73
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15427) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15429) sum(n2, n9) = all_4_77
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15426) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15430) sum(n7, n4) = all_4_74
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (32), (15428) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15431) all_4_73 = n6
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (37), (15429) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15432) all_4_77 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (87), (15430) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15433) all_4_74 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15431) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15434) sum(n6, n5) = all_4_98
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15432), (15433) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15435) sum(n0, n0) = all_4_99
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (6), (15435) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15436) all_4_99 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (77), (15434) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15437) all_4_98 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15337), (15435), (15436), (15437) are
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15438) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (15438) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15439) all_4_101 = n2
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (15439) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15440) pred(n2) = all_4_79
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (15439) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15441) succ(n2) = all_4_75
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (15441) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15442) all_4_75 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (15440) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15443) all_4_79 = n1
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15442), (15443) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15444) sum(n1, n3) = all_4_73
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15443) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15445) sum(n1, n9) = all_4_77
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15442) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15446) sum(n7, n3) = all_4_74
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (15444) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15447) all_4_73 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (26), (15445) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15448) all_4_77 = n10
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (86), (15446) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15449) all_4_74 = n10
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15447) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15450) sum(n4, n5) = all_4_98
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15448), (15449) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15451) sum(n10, n10) = all_4_99
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (55), (15450) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15452) all_4_98 = n9
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (235), (236), (15422), (15451), (15452) are
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #50.
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15453) all_4_101 = n1 | all_4_101 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (11), (15), (18), (20), (30),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (32), (33), (42), (44), (54), (56), (66), (68),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (78), (80), (84), (85), (90), (92), (102), (104),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (105), (114), (117), (125), (126), (128), (129),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (154), (155), (156), (157), (158), (159), (160),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (161), (162), (163), (164), (165), (166), (167),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (168), (187), (188), (189), (190), (191), (192),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (200),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (218), (219), (220),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (14674), (14680), (14682), (14684), (15453) are
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15454) all_4_92 = all_4_93
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15455) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 259.34/65.82 | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | REDUCE: (238), (15454) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15456) pred(all_4_93) = all_4_44
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | REDUCE: (207), (15454) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15457) succ(all_4_93) = all_4_46
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_43, all_4_46,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | all_4_93, simplifying with (206), (15457) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15458) all_4_43 = all_4_46
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | all_4_93, simplifying with (237), (15456) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15459) all_4_44 = all_4_47
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | REDUCE: (155), (15458), (15459) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15460) sum(all_4_47, all_4_46) = all_4_42
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | REDUCE: (154), (15459) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15461) sum(all_4_47, all_4_46) = all_4_40
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | REDUCE: (152), (15458) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15462) sum(all_4_47, all_4_46) = all_4_41
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_41,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (151),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15462) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15463) all_4_41 = all_4_45
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (15461),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15462) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15464) all_4_40 = all_4_41
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_40,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (15460),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15461) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15465) all_4_40 = all_4_42
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15464), (15465) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15466) all_4_41 = all_4_42
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | SIMP: (15466) implies:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15467) all_4_41 = all_4_42
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15463), (15467) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | (15468) all_4_42 = all_4_45
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | BETA: splitting (15421) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15469) all_4_101 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (15469) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15470) pred(n3) = all_4_79
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (15469) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15471) succ(n3) = all_4_75
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (190), (15471) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15472) all_4_75 = n4
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (221), (15470) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15473) all_4_79 = n2
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15472), (15473) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15474) sum(n2, n4) = all_4_73
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15473) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15475) sum(n2, n9) = all_4_77
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15472) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15476) sum(n7, n4) = all_4_74
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (32), (15474) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15477) all_4_73 = n6
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n9, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (37), (15475) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15478) all_4_77 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n4, n7,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (87), (15476) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15479) all_4_74 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15477) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15480) sum(n6, n5) = all_4_98
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15478), (15479) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15481) sum(n0, n0) = all_4_99
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (6), (15481) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15482) all_4_99 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n5, n6,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | simplifying with (77), (15480) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15483) all_4_98 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (144), (187), (200), (201), (202), (203), (218),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (15455), (15481),
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15482), (15483) are inconsistent by sub-proof
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | #37.
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | (15484) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (15484) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15485) all_4_101 = n2
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (15485) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15486) pred(n2) = all_4_79
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (15485) imply:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15487) succ(n2) = all_4_75
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (15487) gives:
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | | (15488) all_4_75 = n3
% 259.34/65.82 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (15486) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15489) all_4_79 = n1
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15488), (15489) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15490) sum(n1, n3) = all_4_73
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (14682), (15489) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15491) sum(n1, n9) = all_4_77
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (14680), (15488) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15492) sum(n7, n3) = all_4_74
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (15490) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15493) all_4_73 = n4
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n9, n1,
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | simplifying with (26), (15491) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15494) all_4_77 = n10
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n3, n7,
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | simplifying with (86), (15492) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15495) all_4_74 = n10
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (14684), (15493) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15496) sum(n4, n5) = all_4_98
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15494), (15495) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15497) sum(n10, n10) = all_4_99
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n5, n4,
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | simplifying with (55), (15496) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15498) all_4_98 = n9
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (15455), (15497), (15498) are
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (15499) all_4_101 = n1 | all_4_101 = n0
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (11), (15), (18), (20), (30),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (32), (33), (42), (44), (54), (56), (66), (68),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (78), (80), (84), (85), (90), (92), (102), (104),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (105), (114), (117), (125), (126), (128), (129),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (154), (155), (156), (157), (158), (159), (160),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (161), (162), (163), (164), (165), (166), (167),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (168), (187), (188), (189), (190), (191), (192),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (200),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (218), (219), (220),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | (14674), (14680), (14682), (14684), (15499) are
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | End of split
% 259.34/65.83 | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | Case 2:
% 259.34/65.83 | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | (15500) all_4_100 = n7 | all_4_100 = n6 | all_4_100 = n5 |
% 259.34/65.83 | | | | | | | | | | all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.34/65.83 | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.83 | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | BETA: splitting (13335) gives:
% 259.34/65.83 | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | (15501) all_4_101 = n7
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | REDUCE: (229), (15501) imply:
% 259.34/65.83 | | | | | | | | | | | (15502) pred(n7) = all_4_79
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | REDUCE: (198), (15501) imply:
% 259.34/65.83 | | | | | | | | | | | (15503) succ(n7) = all_4_75
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_75, n7,
% 259.34/65.83 | | | | | | | | | | | simplifying with (194), (15503) gives:
% 259.34/65.83 | | | | | | | | | | | (15504) all_4_75 = n8
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_79, n7,
% 259.34/65.83 | | | | | | | | | | | simplifying with (225), (15502) gives:
% 259.34/65.83 | | | | | | | | | | | (15505) all_4_79 = n6
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | REDUCE: (131), (15504) imply:
% 259.34/65.83 | | | | | | | | | | | (15506) sum(all_4_76, n8) = all_4_74
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | REDUCE: (128), (15504), (15505) imply:
% 259.34/65.83 | | | | | | | | | | | (15507) sum(n6, n8) = all_4_73
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | REDUCE: (127), (15505) imply:
% 259.34/65.83 | | | | | | | | | | | (15508) sum(n6, all_4_78) = all_4_77
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_73, n8, n6,
% 259.34/65.83 | | | | | | | | | | | simplifying with (80), (15507) gives:
% 259.34/65.83 | | | | | | | | | | | (15509) all_4_73 = n3
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | REDUCE: (132), (15509) imply:
% 259.34/65.83 | | | | | | | | | | | (15510) sum(n3, all_4_72) = all_4_98
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | BETA: splitting (14674) gives:
% 259.34/65.83 | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | (15511) ~ (all_4_86 = all_4_87)
% 259.34/65.83 | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | BETA: splitting (15500) gives:
% 259.34/65.83 | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | (15512) all_4_100 = n7
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (230), (15512) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15513) pred(n7) = all_4_76
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (199), (15512) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15514) succ(n7) = all_4_78
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (194), (15514) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15515) all_4_78 = n8
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (225), (15513) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15516) all_4_76 = n6
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (130), (15515), (15516) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15517) sum(n6, n8) = all_4_72
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (15506), (15516) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15518) sum(n6, n8) = all_4_74
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (15508), (15515) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15519) sum(n6, n8) = all_4_77
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n8, n6,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (80), (15518) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15520) all_4_74 = n3
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n8, n6,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (15517), (15518) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15521) all_4_72 = all_4_74
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n8, n6,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (15517), (15519) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15522) all_4_72 = all_4_77
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | COMBINE_EQS: (15521), (15522) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15523) all_4_74 = all_4_77
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | SIMP: (15523) implies:
% 259.34/65.83 | | | | | | | | | | | | | (15524) all_4_74 = all_4_77
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | COMBINE_EQS: (15520), (15524) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15525) all_4_77 = n3
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | COMBINE_EQS: (15522), (15525) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15526) all_4_72 = n3
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (129), (15520), (15525) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15527) sum(n3, n3) = all_4_99
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REDUCE: (15510), (15526) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15528) sum(n3, n3) = all_4_98
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n3, n3,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (42), (15528) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15529) all_4_98 = n6
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n3, n3,
% 259.34/65.83 | | | | | | | | | | | | | simplifying with (15527), (15528) gives:
% 259.34/65.83 | | | | | | | | | | | | | (15530) all_4_98 = all_4_99
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | COMBINE_EQS: (15529), (15530) imply:
% 259.34/65.83 | | | | | | | | | | | | | (15531) all_4_99 = n6
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | SIMP: (15531) implies:
% 259.34/65.83 | | | | | | | | | | | | | (15532) all_4_99 = n6
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.34/65.83 | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.34/65.83 | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.83 | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.83 | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.83 | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.83 | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.34/65.83 | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.83 | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.83 | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.34/65.83 | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.83 | | | | | | | | | | | | | (240), (241), (242), (15511), (15527), (15529),
% 259.34/65.83 | | | | | | | | | | | | | (15532) are inconsistent by sub-proof #151.
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | Case 2:
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | (15533) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 259.34/65.83 | | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.83 | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | BETA: splitting (15533) gives:
% 259.34/65.83 | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | (15534) all_4_100 = n6
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (230), (15534) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15535) pred(n6) = all_4_76
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (199), (15534) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15536) succ(n6) = all_4_78
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (193), (15536) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15537) all_4_78 = n7
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (224), (15535) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15538) all_4_76 = n5
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (130), (15537), (15538) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15539) sum(n5, n7) = all_4_72
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (15506), (15538) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15540) sum(n5, n8) = all_4_74
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (15508), (15537) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15541) sum(n6, n7) = all_4_77
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (68), (15539) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15542) all_4_72 = n1
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n8, n5,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (69), (15540) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15543) all_4_74 = n2
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n7, n6,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (79), (15541) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15544) all_4_77 = n2
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (129), (15543), (15544) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15545) sum(n2, n2) = all_4_99
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REDUCE: (15510), (15542) imply:
% 259.34/65.83 | | | | | | | | | | | | | | (15546) sum(n3, n1) = all_4_98
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (30), (15545) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15547) all_4_99 = n4
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n1, n3,
% 259.34/65.83 | | | | | | | | | | | | | | simplifying with (40), (15546) gives:
% 259.34/65.83 | | | | | | | | | | | | | | (15548) all_4_98 = n4
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.34/65.83 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.34/65.83 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.83 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.83 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.83 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.83 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.83 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.83 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.83 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.83 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.83 | | | | | | | | | | | | | | (240), (241), (242), (15511), (15545), (15547),
% 259.34/65.83 | | | | | | | | | | | | | | (15548) are inconsistent by sub-proof #150.
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | Case 2:
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | (15549) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.34/65.83 | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | BETA: splitting (15549) gives:
% 259.34/65.83 | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | (15550) all_4_100 = n5
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (230), (15550) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15551) pred(n5) = all_4_76
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (199), (15550) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15552) succ(n5) = all_4_78
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (192), (15552) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15553) all_4_78 = n6
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (223), (15551) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15554) all_4_76 = n4
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (130), (15553), (15554) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15555) sum(n4, n6) = all_4_72
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (15506), (15554) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15556) sum(n4, n8) = all_4_74
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (15508), (15553) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15557) sum(n6, n6) = all_4_77
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (56), (15555) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15558) all_4_72 = n10
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (58), (15556) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15559) all_4_74 = n1
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (78), (15557) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15560) all_4_77 = n1
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (129), (15559), (15560) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15561) sum(n1, n1) = all_4_99
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REDUCE: (15510), (15558) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | (15562) sum(n3, n10) = all_4_98
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (18), (15561) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15563) all_4_99 = n2
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | simplifying with (49), (15562) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | (15564) all_4_98 = n2
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.34/65.83 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.34/65.83 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.83 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.83 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.83 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.83 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.34/65.83 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.83 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.83 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.34/65.83 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.83 | | | | | | | | | | | | | | | (240), (241), (242), (15511), (15561), (15563),
% 259.34/65.83 | | | | | | | | | | | | | | | (15564) are inconsistent by sub-proof #149.
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | Case 2:
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | (15565) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.34/65.83 | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | BETA: splitting (15565) gives:
% 259.34/65.83 | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | (15566) all_4_100 = n4
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (230), (15566) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15567) pred(n4) = all_4_76
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (199), (15566) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15568) succ(n4) = all_4_78
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (191), (15568) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15569) all_4_78 = n5
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (222), (15567) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15570) all_4_76 = n3
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (130), (15569), (15570) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15571) sum(n3, n5) = all_4_72
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (15506), (15570) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15572) sum(n3, n8) = all_4_74
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (15508), (15569) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15573) sum(n6, n5) = all_4_77
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (44), (15571) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15574) all_4_72 = n8
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (47), (15572) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15575) all_4_74 = n0
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (77), (15573) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15576) all_4_77 = n0
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (129), (15575), (15576) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15577) sum(n0, n0) = all_4_99
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REDUCE: (15510), (15574) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15578) sum(n3, n8) = all_4_98
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (6), (15577) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15579) all_4_99 = n0
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | | simplifying with (47), (15578) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | (15580) all_4_98 = n0
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.83 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.83 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.83 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.83 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.83 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 259.34/65.83 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 259.34/65.83 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 259.34/65.83 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.83 | | | | | | | | | | | | | | | | (241), (242), (15511), (15577), (15579), (15580)
% 259.34/65.83 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | Case 2:
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | (15581) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.83 | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | BETA: splitting (15581) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15582) all_4_100 = n3
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (230), (15582) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15583) pred(n3) = all_4_76
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (199), (15582) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15584) succ(n3) = all_4_78
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (190), (15584) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15585) all_4_78 = n4
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (221), (15583) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15586) all_4_76 = n2
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (130), (15585), (15586) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15587) sum(n2, n4) = all_4_72
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (15506), (15586) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15588) sum(n2, n8) = all_4_74
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (15508), (15585) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15589) sum(n6, n4) = all_4_77
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (32), (15587) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15590) all_4_72 = n6
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (36), (15588) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15591) all_4_74 = n10
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (76), (15589) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15592) all_4_77 = n10
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (129), (15591), (15592) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15593) sum(n10, n10) = all_4_99
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | REDUCE: (15510), (15590) imply:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15594) sum(n3, n6) = all_4_98
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (45), (15594) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15595) all_4_98 = n9
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.34/65.83 | | | | | | | | | | | | | | | | | simplifying with (126), (15593) gives:
% 259.34/65.83 | | | | | | | | | | | | | | | | | (15596) all_4_99 = n9
% 259.34/65.83 | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (240), (241), (242), (15511), (15593), (15595),
% 259.34/65.84 | | | | | | | | | | | | | | | | | (15596) are inconsistent by sub-proof #146.
% 259.34/65.84 | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.84 | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | (15597) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.84 | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | BETA: splitting (15597) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15598) all_4_100 = n2
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (230), (15598) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15599) pred(n2) = all_4_76
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (199), (15598) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15600) succ(n2) = all_4_78
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (189), (15600) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15601) all_4_78 = n3
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (220), (15599) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15602) all_4_76 = n1
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (130), (15601), (15602) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15603) sum(n1, n3) = all_4_72
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (15506), (15602) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15604) sum(n1, n8) = all_4_74
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (15508), (15601) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15605) sum(n6, n3) = all_4_77
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (20), (15603) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15606) all_4_72 = n4
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n8, n1,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (25), (15604) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15607) all_4_74 = n9
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n3, n6,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (75), (15605) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15608) all_4_77 = n9
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (129), (15607), (15608) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15609) sum(n9, n9) = all_4_99
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REDUCE: (15510), (15606) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15610) sum(n3, n4) = all_4_98
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n4, n3,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (43), (15610) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15611) all_4_98 = n7
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | simplifying with (114), (15609) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15612) all_4_99 = n7
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (15609), (15611),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15612) are inconsistent by sub-proof #83.
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | (15613) all_4_100 = n1 | all_4_100 = n0
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | BETA: splitting (15613) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15614) all_4_100 = n1
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (15614) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15615) pred(n1) = all_4_76
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (15614) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15616) succ(n1) = all_4_78
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (188), (15616) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15617) all_4_78 = n2
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (219), (15615) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15618) all_4_76 = n0
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (15617), (15618) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15619) sum(n0, n2) = all_4_72
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (15618) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15620) sum(n0, n8) = all_4_74
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (15617) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15621) sum(n6, n2) = all_4_77
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (8), (15619) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15622) all_4_72 = n2
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n8, n0,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (14), (15620) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15623) all_4_74 = n8
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n2, n6,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (74), (15621) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15624) all_4_77 = n8
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15623), (15624) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15625) sum(n8, n8) = all_4_99
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (15622) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15626) sum(n3, n2) = all_4_98
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n2, n3,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (41), (15626) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15627) all_4_98 = n5
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (102), (15625) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15628) all_4_99 = n5
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (15625), (15627),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15628) are inconsistent by sub-proof #69.
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15629) all_4_100 = n0
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (15629) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15630) pred(n0) = all_4_76
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (15629) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15631) succ(n0) = all_4_78
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (187), (15631) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15632) all_4_78 = n1
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (218), (15630) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15633) all_4_76 = n10
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (15632), (15633) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15634) sum(n10, n1) = all_4_72
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (15633) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15635) sum(n10, n8) = all_4_74
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (15632) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15636) sum(n6, n1) = all_4_77
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n1, n6,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (73), (15636) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15637) all_4_77 = n7
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (117), (15634) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15638) all_4_72 = n0
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n8, n10,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (124), (15635) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15639) all_4_74 = n7
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15637), (15639) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15640) sum(n7, n7) = all_4_99
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (15638) imply:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15641) sum(n3, n0) = all_4_98
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n0, n3,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (39), (15641) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15642) all_4_98 = n3
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | simplifying with (90), (15640) gives:
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15643) all_4_99 = n3
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (15511), (15640), (15642),
% 259.34/65.84 | | | | | | | | | | | | | | | | | | | (15643) are inconsistent by sub-proof #36.
% 259.34/65.84 | | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | End of split
% 259.34/65.84 | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | Case 2:
% 259.34/65.84 | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | (15644) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 259.34/65.84 | | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 259.34/65.84 | | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 259.34/65.84 | | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 259.34/65.84 | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | BETA: splitting (15500) gives:
% 259.34/65.84 | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | Case 1:
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | (15645) all_4_100 = n7
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (230), (15645) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15646) pred(n7) = all_4_76
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (199), (15645) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15647) succ(n7) = all_4_78
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (194), (15647) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15648) all_4_78 = n8
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (225), (15646) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15649) all_4_76 = n6
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (130), (15648), (15649) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15650) sum(n6, n8) = all_4_72
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (15506), (15649) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15651) sum(n6, n8) = all_4_74
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (15508), (15648) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15652) sum(n6, n8) = all_4_77
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n8, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (80), (15651) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15653) all_4_74 = n3
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n8, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15650), (15651) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15654) all_4_72 = all_4_74
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n8, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15650), (15652) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15655) all_4_72 = all_4_77
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15654), (15655) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15656) all_4_74 = all_4_77
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15656) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15657) all_4_74 = all_4_77
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15653), (15657) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15658) all_4_77 = n3
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15655), (15658) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15659) all_4_72 = n3
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (129), (15653), (15658) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15660) sum(n3, n3) = all_4_99
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (15510), (15659) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15661) sum(n3, n3) = all_4_98
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n3, n3,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (42), (15661) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15662) all_4_98 = n6
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n3, n3,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15660), (15661) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15663) all_4_98 = all_4_99
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15662), (15663) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15664) all_4_99 = n6
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15664) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15665) all_4_99 = n6
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (232), (15662) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15666) pred(n6) = all_4_68
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (231), (15665) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15667) pred(n6) = all_4_71
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (201), (15662) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15668) succ(n6) = all_4_70
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (200), (15665) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15669) succ(n6) = all_4_67
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_67, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (193), (15669) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15670) all_4_67 = n7
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15668), (15669) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15671) all_4_67 = all_4_70
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_68, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (224), (15666) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15672) all_4_68 = n5
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n6,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15666), (15667) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15673) all_4_68 = all_4_71
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15670), (15671) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15674) all_4_70 = n7
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15674) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15675) all_4_70 = n7
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15672), (15673) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15676) all_4_71 = n5
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (137), (15670), (15672) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15677) sum(n5, n7) = all_4_66
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (136), (15672), (15675) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15678) sum(n5, n7) = all_4_64
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (134), (15670), (15676) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15679) sum(n5, n7) = all_4_65
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (133), (15675), (15676) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15680) sum(n5, n7) = all_4_69
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_65, n7, n5,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (68), (15679) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15681) all_4_65 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n7, n5,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15677), (15679) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15682) all_4_65 = all_4_66
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n7, n5,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15677), (15678) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15683) all_4_64 = all_4_66
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n7, n5,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15678), (15680) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15684) all_4_64 = all_4_69
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15683), (15684) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15685) all_4_66 = all_4_69
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15685) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15686) all_4_66 = all_4_69
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15681), (15682) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15687) all_4_66 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15687) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15688) all_4_66 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15686), (15688) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15689) all_4_69 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15684), (15689) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15690) all_4_64 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (138), (15681), (15690) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15691) sum(n1, n1) = all_4_96
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (135), (15688), (15689) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15692) sum(n1, n1) = all_4_97
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_96, n1, n1,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (18), (15691) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15693) all_4_96 = n2
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n1, n1,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15691), (15692) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15694) all_4_96 = all_4_97
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15693), (15694) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15695) all_4_97 = n2
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (234), (15693) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15696) pred(n2) = all_4_60
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (233), (15695) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15697) pred(n2) = all_4_63
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (203), (15693) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15698) succ(n2) = all_4_62
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (202), (15695) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15699) succ(n2) = all_4_59
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_59, n2,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (189), (15699) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15700) all_4_59 = n3
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n2,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15698), (15699) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15701) all_4_59 = all_4_62
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_60, n2,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (220), (15696) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15702) all_4_60 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n2,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15696), (15697) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15703) all_4_60 = all_4_63
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15700), (15701) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15704) all_4_62 = n3
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15704) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15705) all_4_62 = n3
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15702), (15703) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15706) all_4_63 = n1
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (143), (15700), (15702) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15707) sum(n1, n3) = all_4_58
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (142), (15702), (15705) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15708) sum(n1, n3) = all_4_56
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (140), (15700), (15706) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15709) sum(n1, n3) = all_4_57
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (139), (15705), (15706) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15710) sum(n1, n3) = all_4_61
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_58, n3, n1,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (20), (15707) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15711) all_4_58 = n4
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n3, n1,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15707), (15709) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15712) all_4_57 = all_4_58
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n3, n1,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15708), (15709) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15713) all_4_56 = all_4_57
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n3, n1,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15708), (15710) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15714) all_4_56 = all_4_61
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15713), (15714) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15715) all_4_57 = all_4_61
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15715) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15716) all_4_57 = all_4_61
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15712), (15716) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15717) all_4_58 = all_4_61
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15717) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15718) all_4_58 = all_4_61
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15711), (15718) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15719) all_4_61 = n4
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15716), (15719) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15720) all_4_57 = n4
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15714), (15719) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15721) all_4_56 = n4
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (144), (15720), (15721) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15722) sum(n4, n4) = all_4_94
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (141), (15711), (15719) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15723) sum(n4, n4) = all_4_95
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_94, n4, n4,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (54), (15722) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15724) all_4_94 = n8
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n4, n4,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15722), (15723) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15725) all_4_94 = all_4_95
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15724), (15725) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15726) all_4_95 = n8
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (236), (15724) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15727) pred(n8) = all_4_52
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (235), (15726) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15728) pred(n8) = all_4_55
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (205), (15724) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15729) succ(n8) = all_4_54
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (204), (15726) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15730) succ(n8) = all_4_51
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_51, n8,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (195), (15730) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15731) all_4_51 = n9
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n8,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15729), (15730) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15732) all_4_51 = all_4_54
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_52, n8,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (226), (15727) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15733) all_4_52 = n7
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n8,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15727), (15728) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15734) all_4_52 = all_4_55
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15731), (15732) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15735) all_4_54 = n9
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15735) implies:
% 259.34/65.84 | | | | | | | | | | | | | (15736) all_4_54 = n9
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15733), (15734) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15737) all_4_55 = n7
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (149), (15731), (15733) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15738) sum(n7, n9) = all_4_50
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (148), (15733), (15736) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15739) sum(n7, n9) = all_4_48
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (146), (15731), (15737) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15740) sum(n7, n9) = all_4_49
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | REDUCE: (145), (15736), (15737) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15741) sum(n7, n9) = all_4_53
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_50, n9, n7,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (92), (15738) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15742) all_4_50 = n5
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n9, n7,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15738), (15740) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15743) all_4_49 = all_4_50
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n9, n7,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15739), (15740) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15744) all_4_48 = all_4_49
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n9, n7,
% 259.34/65.84 | | | | | | | | | | | | | simplifying with (15739), (15741) gives:
% 259.34/65.84 | | | | | | | | | | | | | (15745) all_4_48 = all_4_53
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | COMBINE_EQS: (15744), (15745) imply:
% 259.34/65.84 | | | | | | | | | | | | | (15746) all_4_49 = all_4_53
% 259.34/65.84 | | | | | | | | | | | | |
% 259.34/65.84 | | | | | | | | | | | | | SIMP: (15746) implies:
% 259.34/65.85 | | | | | | | | | | | | | (15747) all_4_49 = all_4_53
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15743), (15747) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15748) all_4_50 = all_4_53
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | SIMP: (15748) implies:
% 259.34/65.85 | | | | | | | | | | | | | (15749) all_4_50 = all_4_53
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15742), (15749) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15750) all_4_53 = n5
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15747), (15750) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15751) all_4_49 = n5
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15745), (15750) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15752) all_4_48 = n5
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (150), (15751), (15752) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15753) sum(n5, n5) = all_4_92
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (147), (15742), (15750) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15754) sum(n5, n5) = all_4_93
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_92, n5, n5,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (66), (15753) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15755) all_4_92 = n10
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n5, n5,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15753), (15754) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15756) all_4_92 = all_4_93
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15755), (15756) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15757) all_4_93 = n10
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | SIMP: (15757) implies:
% 259.34/65.85 | | | | | | | | | | | | | (15758) all_4_93 = n10
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (238), (15755) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15759) pred(n10) = all_4_44
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (237), (15758) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15760) pred(n10) = all_4_47
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (207), (15755) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15761) succ(n10) = all_4_46
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (206), (15758) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15762) succ(n10) = all_4_43
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_43, n10,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (197), (15762) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15763) all_4_43 = n0
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n10,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15761), (15762) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15764) all_4_43 = all_4_46
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_44, n10,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (228), (15759) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15765) all_4_44 = n9
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n10,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15759), (15760) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15766) all_4_44 = all_4_47
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15763), (15764) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15767) all_4_46 = n0
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | SIMP: (15767) implies:
% 259.34/65.85 | | | | | | | | | | | | | (15768) all_4_46 = n0
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15765), (15766) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15769) all_4_47 = n9
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (155), (15763), (15765) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15770) sum(n9, n0) = all_4_42
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (154), (15765), (15768) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15771) sum(n9, n0) = all_4_40
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (152), (15763), (15769) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15772) sum(n9, n0) = all_4_41
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (151), (15768), (15769) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15773) sum(n9, n0) = all_4_45
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_42, n0, n9,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (105), (15770) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15774) all_4_42 = n9
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n0, n9,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15770), (15772) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15775) all_4_41 = all_4_42
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n0, n9,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15771), (15772) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15776) all_4_40 = all_4_41
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n0, n9,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15771), (15773) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15777) all_4_40 = all_4_45
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15776), (15777) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15778) all_4_41 = all_4_45
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | SIMP: (15778) implies:
% 259.34/65.85 | | | | | | | | | | | | | (15779) all_4_41 = all_4_45
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15775), (15779) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15780) all_4_42 = all_4_45
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | SIMP: (15780) implies:
% 259.34/65.85 | | | | | | | | | | | | | (15781) all_4_42 = all_4_45
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15774), (15781) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15782) all_4_45 = n9
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15779), (15782) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15783) all_4_41 = n9
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15777), (15782) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15784) all_4_40 = n9
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (156), (15783), (15784) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15785) sum(n9, n9) = all_4_90
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (153), (15774), (15782) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15786) sum(n9, n9) = all_4_91
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_90, n9, n9,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (114), (15785) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15787) all_4_90 = n7
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n9, n9,
% 259.34/65.85 | | | | | | | | | | | | | simplifying with (15785), (15786) gives:
% 259.34/65.85 | | | | | | | | | | | | | (15788) all_4_90 = all_4_91
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | COMBINE_EQS: (15787), (15788) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15789) all_4_91 = n7
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (240), (15787) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15790) pred(n7) = all_4_36
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (239), (15789) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15791) pred(n7) = all_4_39
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (209), (15787) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15792) succ(n7) = all_4_38
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | REDUCE: (208), (15789) imply:
% 259.34/65.85 | | | | | | | | | | | | | (15793) succ(n7) = all_4_35
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | BETA: splitting (15644) gives:
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | (15794) ~ (all_4_88 = all_4_89)
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_35, n7,
% 259.34/65.85 | | | | | | | | | | | | | | simplifying with (194), (15793) gives:
% 259.34/65.85 | | | | | | | | | | | | | | (15795) all_4_35 = n8
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (157), (158), (159),
% 259.34/65.85 | | | | | | | | | | | | | | (160), (161), (162), (225), (15790), (15791),
% 259.34/65.85 | | | | | | | | | | | | | | (15792), (15793), (15794), (15795) are
% 259.34/65.85 | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | (15796) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.34/65.85 | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.34/65.85 | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 259.34/65.85 | | | | | | | | | | | | | | (114), (139), (140), (141), (142), (143), (144),
% 259.34/65.85 | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.34/65.85 | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (195),
% 259.34/65.85 | | | | | | | | | | | | | | (197), (220), (226), (228), (15662), (15665),
% 259.34/65.85 | | | | | | | | | | | | | | (15693), (15695), (15696), (15697), (15698),
% 259.34/65.85 | | | | | | | | | | | | | | (15699), (15727), (15728), (15729), (15730),
% 259.34/65.85 | | | | | | | | | | | | | | (15759), (15760), (15761), (15762), (15796) are
% 259.34/65.85 | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | End of split
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | (15797) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 259.34/65.85 | | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.85 | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | BETA: splitting (15644) gives:
% 259.34/65.85 | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | (15798) ~ (all_4_88 = all_4_89)
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | BETA: splitting (15797) gives:
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | (15799) all_4_100 = n6
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (230), (15799) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15800) pred(n6) = all_4_76
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (199), (15799) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15801) succ(n6) = all_4_78
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (193), (15801) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15802) all_4_78 = n7
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (224), (15800) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15803) all_4_76 = n5
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (130), (15802), (15803) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15804) sum(n5, n7) = all_4_72
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (15506), (15803) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15805) sum(n5, n8) = all_4_74
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (15508), (15802) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15806) sum(n6, n7) = all_4_77
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (68), (15804) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15807) all_4_72 = n1
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n8, n5,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (69), (15805) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15808) all_4_74 = n2
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n7, n6,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (79), (15806) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15809) all_4_77 = n2
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (129), (15808), (15809) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15810) sum(n2, n2) = all_4_99
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (15510), (15807) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15811) sum(n3, n1) = all_4_98
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (30), (15810) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15812) all_4_99 = n4
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n1, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | simplifying with (40), (15811) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | (15813) all_4_98 = n4
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.34/65.85 | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.34/65.85 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.85 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.85 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.85 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.34/65.85 | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.34/65.85 | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.34/65.85 | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.34/65.85 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.85 | | | | | | | | | | | | | | | (15798), (15810), (15812), (15813) are
% 259.34/65.85 | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | (15814) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.34/65.85 | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | BETA: splitting (15814) gives:
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | (15815) all_4_100 = n5
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (230), (15815) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15816) pred(n5) = all_4_76
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (199), (15815) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15817) succ(n5) = all_4_78
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (192), (15817) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15818) all_4_78 = n6
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (223), (15816) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15819) all_4_76 = n4
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (130), (15818), (15819) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15820) sum(n4, n6) = all_4_72
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (15506), (15819) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15821) sum(n4, n8) = all_4_74
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (15508), (15818) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15822) sum(n6, n6) = all_4_77
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (56), (15820) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15823) all_4_72 = n10
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (58), (15821) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15824) all_4_74 = n1
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (78), (15822) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15825) all_4_77 = n1
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (129), (15824), (15825) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15826) sum(n1, n1) = all_4_99
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REDUCE: (15510), (15823) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15827) sum(n3, n10) = all_4_98
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (18), (15826) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15828) all_4_99 = n2
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | simplifying with (49), (15827) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | (15829) all_4_98 = n2
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.34/65.85 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.34/65.85 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.85 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.85 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.85 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.34/65.85 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.34/65.85 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.34/65.85 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.34/65.85 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.85 | | | | | | | | | | | | | | | | (15798), (15826), (15828), (15829) are
% 259.34/65.85 | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | (15830) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.34/65.85 | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | BETA: splitting (15830) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15831) all_4_100 = n4
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (230), (15831) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15832) pred(n4) = all_4_76
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (199), (15831) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15833) succ(n4) = all_4_78
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (191), (15833) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15834) all_4_78 = n5
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (222), (15832) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15835) all_4_76 = n3
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (130), (15834), (15835) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15836) sum(n3, n5) = all_4_72
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (15506), (15835) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15837) sum(n3, n8) = all_4_74
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (15508), (15834) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15838) sum(n6, n5) = all_4_77
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (44), (15836) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15839) all_4_72 = n8
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (47), (15837) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15840) all_4_74 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (77), (15838) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15841) all_4_77 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (129), (15840), (15841) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15842) sum(n0, n0) = all_4_99
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REDUCE: (15510), (15839) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15843) sum(n3, n8) = all_4_98
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (6), (15842) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15844) all_4_99 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | | simplifying with (47), (15843) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15845) all_4_98 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (15798),
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15842), (15844), (15845) are inconsistent by
% 259.34/65.85 | | | | | | | | | | | | | | | | | sub-proof #131.
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | (15846) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.85 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | BETA: splitting (15846) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15847) all_4_100 = n3
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (230), (15847) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15848) pred(n3) = all_4_76
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (199), (15847) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15849) succ(n3) = all_4_78
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (190), (15849) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15850) all_4_78 = n4
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (221), (15848) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15851) all_4_76 = n2
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (130), (15850), (15851) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15852) sum(n2, n4) = all_4_72
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (15506), (15851) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15853) sum(n2, n8) = all_4_74
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (15508), (15850) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15854) sum(n6, n4) = all_4_77
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (32), (15852) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15855) all_4_72 = n6
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (36), (15853) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15856) all_4_74 = n10
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (76), (15854) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15857) all_4_77 = n10
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (129), (15856), (15857) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15858) sum(n10, n10) = all_4_99
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REDUCE: (15510), (15855) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15859) sum(n3, n6) = all_4_98
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (45), (15859) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15860) all_4_98 = n9
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.34/65.85 | | | | | | | | | | | | | | | | | | simplifying with (126), (15858) gives:
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15861) all_4_99 = n9
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15798), (15858), (15860), (15861) are
% 259.34/65.85 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15862) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (14), (18), (20), (25), (30),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (32), (39), (41), (42), (43), (44), (54), (56),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (92), (102), (104), (105), (114), (117), (124),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (126), (129), (130), (133), (134), (135), (136),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (188),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (201), (202), (203),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (218),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.85 | | | | | | | | | | | | | | | | | | (15506), (15508), (15510), (15644), (15862) are
% 259.34/65.85 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 259.34/65.85 | | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.85 | | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | | End of split
% 259.34/65.85 | | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | End of split
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | End of split
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | Case 2:
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | (15863) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.34/65.85 | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.34/65.85 | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | BETA: splitting (15797) gives:
% 259.34/65.85 | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | Case 1:
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | (15864) all_4_100 = n6
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.85 | | | | | | | | | | | | | | | REDUCE: (230), (15864) imply:
% 259.34/65.85 | | | | | | | | | | | | | | | (15865) pred(n6) = all_4_76
% 259.34/65.85 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (199), (15864) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15866) succ(n6) = all_4_78
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (193), (15866) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15867) all_4_78 = n7
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (224), (15865) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15868) all_4_76 = n5
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (130), (15867), (15868) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15869) sum(n5, n7) = all_4_72
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (15506), (15868) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15870) sum(n5, n8) = all_4_74
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (15508), (15867) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15871) sum(n6, n7) = all_4_77
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (68), (15869) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15872) all_4_72 = n1
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n8, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (69), (15870) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15873) all_4_74 = n2
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n7, n6,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (79), (15871) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15874) all_4_77 = n2
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (129), (15873), (15874) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15875) sum(n2, n2) = all_4_99
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (15510), (15872) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15876) sum(n3, n1) = all_4_98
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (30), (15875) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15877) all_4_99 = n4
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n1, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (40), (15876) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15878) all_4_98 = n4
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (232), (15878) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15879) pred(n4) = all_4_68
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (231), (15877) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15880) pred(n4) = all_4_71
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (201), (15878) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15881) succ(n4) = all_4_70
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (200), (15877) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15882) succ(n4) = all_4_67
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (191), (15882) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15883) all_4_67 = n5
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15881), (15882) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15884) all_4_67 = all_4_70
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (222), (15879) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15885) all_4_68 = n3
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15879), (15880) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15886) all_4_68 = all_4_71
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15883), (15884) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15887) all_4_70 = n5
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15887) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15888) all_4_70 = n5
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15885), (15886) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15889) all_4_71 = n3
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (137), (15883), (15885) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15890) sum(n3, n5) = all_4_66
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (136), (15885), (15888) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15891) sum(n3, n5) = all_4_64
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (134), (15883), (15889) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15892) sum(n3, n5) = all_4_65
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (133), (15888), (15889) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15893) sum(n3, n5) = all_4_69
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (44), (15892) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15894) all_4_65 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15890), (15892) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15895) all_4_65 = all_4_66
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15890), (15891) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15896) all_4_64 = all_4_66
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15891), (15893) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15897) all_4_64 = all_4_69
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15896), (15897) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15898) all_4_66 = all_4_69
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15898) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15899) all_4_66 = all_4_69
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15894), (15895) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15900) all_4_66 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15900) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15901) all_4_66 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15899), (15901) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15902) all_4_69 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15897), (15902) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15903) all_4_64 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (138), (15894), (15903) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15904) sum(n8, n8) = all_4_96
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (135), (15901), (15902) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15905) sum(n8, n8) = all_4_97
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (102), (15904) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15906) all_4_96 = n5
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15904), (15905) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15907) all_4_96 = all_4_97
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15906), (15907) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15908) all_4_97 = n5
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (234), (15906) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15909) pred(n5) = all_4_60
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (233), (15908) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15910) pred(n5) = all_4_63
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (203), (15906) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15911) succ(n5) = all_4_62
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (202), (15908) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15912) succ(n5) = all_4_59
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (192), (15912) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15913) all_4_59 = n6
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15911), (15912) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15914) all_4_59 = all_4_62
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_60, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (223), (15909) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15915) all_4_60 = n4
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15909), (15910) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15916) all_4_60 = all_4_63
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15913), (15914) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15917) all_4_62 = n6
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15917) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15918) all_4_62 = n6
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15915), (15916) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15919) all_4_63 = n4
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (143), (15913), (15915) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15920) sum(n4, n6) = all_4_58
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (142), (15915), (15918) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15921) sum(n4, n6) = all_4_56
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (140), (15913), (15919) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15922) sum(n4, n6) = all_4_57
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (139), (15918), (15919) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15923) sum(n4, n6) = all_4_61
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_58, n6, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (56), (15920) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15924) all_4_58 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n6, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15920), (15922) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15925) all_4_57 = all_4_58
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n6, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15921), (15922) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15926) all_4_56 = all_4_57
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n6, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15921), (15923) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15927) all_4_56 = all_4_61
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15926), (15927) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15928) all_4_57 = all_4_61
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15928) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15929) all_4_57 = all_4_61
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15925), (15929) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15930) all_4_58 = all_4_61
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15930) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15931) all_4_58 = all_4_61
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15924), (15931) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15932) all_4_61 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15929), (15932) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15933) all_4_57 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15927), (15932) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15934) all_4_56 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (144), (15933), (15934) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15935) sum(n10, n10) = all_4_94
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (141), (15924), (15932) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15936) sum(n10, n10) = all_4_95
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_94, n10, n10,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (126), (15935) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15937) all_4_94 = n9
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n10,
% 259.34/65.86 | | | | | | | | | | | | | | | n10, simplifying with (15935), (15936) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15938) all_4_94 = all_4_95
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15937), (15938) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15939) all_4_95 = n9
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (236), (15937) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15940) pred(n9) = all_4_52
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (235), (15939) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15941) pred(n9) = all_4_55
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (205), (15937) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15942) succ(n9) = all_4_54
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (204), (15939) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15943) succ(n9) = all_4_51
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_51, n9,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (196), (15943) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15944) all_4_51 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n9,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15942), (15943) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15945) all_4_51 = all_4_54
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_52, n9,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (227), (15940) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15946) all_4_52 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n9,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (15940), (15941) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15947) all_4_52 = all_4_55
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15944), (15945) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15948) all_4_54 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15948) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15949) all_4_54 = n10
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15946), (15947) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15950) all_4_55 = n8
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (149), (15944), (15946) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15951) sum(n8, n10) = all_4_50
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (148), (15946), (15949) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15952) sum(n8, n10) = all_4_48
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (146), (15944), (15950) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15953) sum(n8, n10) = all_4_49
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REDUCE: (145), (15949), (15950) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15954) sum(n8, n10) = all_4_53
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_50, n10, n8,
% 259.34/65.86 | | | | | | | | | | | | | | | simplifying with (104), (15951) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15955) all_4_50 = n7
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n10,
% 259.34/65.86 | | | | | | | | | | | | | | | n8, simplifying with (15951), (15953) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15956) all_4_49 = all_4_50
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n10,
% 259.34/65.86 | | | | | | | | | | | | | | | n8, simplifying with (15952), (15953) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15957) all_4_48 = all_4_49
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n10,
% 259.34/65.86 | | | | | | | | | | | | | | | n8, simplifying with (15952), (15954) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | (15958) all_4_48 = all_4_53
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15957), (15958) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15959) all_4_49 = all_4_53
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15959) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15960) all_4_49 = all_4_53
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15956), (15960) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15961) all_4_50 = all_4_53
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | SIMP: (15961) implies:
% 259.34/65.86 | | | | | | | | | | | | | | | (15962) all_4_50 = all_4_53
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15955), (15962) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15963) all_4_53 = n7
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | COMBINE_EQS: (15960), (15963) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | (15964) all_4_49 = n7
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 259.34/65.86 | | | | | | | | | | | | | | | (102), (126), (133), (134), (135), (136), (137),
% 259.34/65.86 | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.34/65.86 | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.34/65.86 | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (190), (191),
% 259.34/65.86 | | | | | | | | | | | | | | | (192), (196), (206), (207), (221), (222), (223),
% 259.34/65.86 | | | | | | | | | | | | | | | (227), (237), (238), (15863), (15877), (15878),
% 259.34/65.86 | | | | | | | | | | | | | | | (15879), (15880), (15881), (15882), (15909),
% 259.34/65.86 | | | | | | | | | | | | | | | (15910), (15911), (15912), (15940), (15941),
% 259.34/65.86 | | | | | | | | | | | | | | | (15942), (15943), (15954), (15955), (15958),
% 259.34/65.86 | | | | | | | | | | | | | | | (15963), (15964) are inconsistent by sub-proof
% 259.34/65.86 | | | | | | | | | | | | | | | #61.
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | Case 2:
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | (15965) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.34/65.86 | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | BETA: splitting (15863) gives:
% 259.34/65.86 | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | Case 1:
% 259.34/65.86 | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | (15966) ~ (all_4_90 = all_4_91)
% 259.34/65.86 | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | BETA: splitting (15965) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15967) all_4_100 = n5
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (230), (15967) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15968) pred(n5) = all_4_76
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (199), (15967) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15969) succ(n5) = all_4_78
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (192), (15969) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15970) all_4_78 = n6
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (223), (15968) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15971) all_4_76 = n4
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (130), (15970), (15971) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15972) sum(n4, n6) = all_4_72
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (15506), (15971) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15973) sum(n4, n8) = all_4_74
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (15508), (15970) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15974) sum(n6, n6) = all_4_77
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (56), (15972) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15975) all_4_72 = n10
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (58), (15973) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15976) all_4_74 = n1
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (78), (15974) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15977) all_4_77 = n1
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (129), (15976), (15977) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15978) sum(n1, n1) = all_4_99
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REDUCE: (15510), (15975) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15979) sum(n3, n10) = all_4_98
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (18), (15978) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15980) all_4_99 = n2
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | simplifying with (49), (15979) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15981) all_4_98 = n2
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.34/65.86 | | | | | | | | | | | | | | | | | (238), (15966), (15980), (15981) are inconsistent
% 259.34/65.86 | | | | | | | | | | | | | | | | | by sub-proof #60.
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | (15982) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.34/65.86 | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | BETA: splitting (15982) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15983) all_4_100 = n4
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (230), (15983) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15984) pred(n4) = all_4_76
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (199), (15983) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15985) succ(n4) = all_4_78
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (191), (15985) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15986) all_4_78 = n5
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (222), (15984) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15987) all_4_76 = n3
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (130), (15986), (15987) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15988) sum(n3, n5) = all_4_72
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (15506), (15987) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15989) sum(n3, n8) = all_4_74
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (15508), (15986) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15990) sum(n6, n5) = all_4_77
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (44), (15988) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15991) all_4_72 = n8
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (47), (15989) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15992) all_4_74 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (77), (15990) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15993) all_4_77 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (129), (15992), (15993) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15994) sum(n0, n0) = all_4_99
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REDUCE: (15510), (15991) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15995) sum(n3, n8) = all_4_98
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (6), (15994) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15996) all_4_99 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | simplifying with (47), (15995) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15997) all_4_98 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (236), (237), (238), (15966), (15994), (15996),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15997) are inconsistent by sub-proof #59.
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | (15998) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | BETA: splitting (15998) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (15999) all_4_100 = n3
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (15999) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16000) pred(n3) = all_4_76
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (15999) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16001) succ(n3) = all_4_78
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (190), (16001) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16002) all_4_78 = n4
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (221), (16000) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16003) all_4_76 = n2
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16002), (16003) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16004) sum(n2, n4) = all_4_72
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (16003) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16005) sum(n2, n8) = all_4_74
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (16002) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16006) sum(n6, n4) = all_4_77
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (32), (16004) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16007) all_4_72 = n6
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (36), (16005) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16008) all_4_74 = n10
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (76), (16006) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16009) all_4_77 = n10
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16008), (16009) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16010) sum(n10, n10) = all_4_99
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (16007) imply:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16011) sum(n3, n6) = all_4_98
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (45), (16011) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16012) all_4_98 = n9
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | simplifying with (126), (16010) gives:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16013) all_4_99 = n9
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (238), (15966), (16012), (16013) are inconsistent
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (16014) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (14), (18), (20), (25), (30),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (32), (39), (41), (42), (43), (44), (54), (56),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (92), (102), (104), (105), (114), (117), (124),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (126), (129), (130), (133), (134), (135), (136),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (188),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (201), (202), (203),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (218),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | (15506), (15508), (15510), (15644), (16014) are
% 259.34/65.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 259.34/65.86 | | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.86 | | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.86 | | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | | End of split
% 259.34/65.86 | | | | | | | | | | | | | | | |
% 259.34/65.86 | | | | | | | | | | | | | | | Case 2:
% 259.34/65.86 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | (16015) all_4_90 = all_4_91
% 259.34/65.87 | | | | | | | | | | | | | | | | (16016) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.34/65.87 | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.34/65.87 | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | REDUCE: (240), (16015) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16017) pred(all_4_91) = all_4_36
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | REDUCE: (209), (16015) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16018) succ(all_4_91) = all_4_38
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_35, all_4_38,
% 259.34/65.87 | | | | | | | | | | | | | | | | all_4_91, simplifying with (208), (16018) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16019) all_4_35 = all_4_38
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_39, all_4_36,
% 259.34/65.87 | | | | | | | | | | | | | | | | all_4_91, simplifying with (239), (16017) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16020) all_4_36 = all_4_39
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | REDUCE: (161), (16019), (16020) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16021) sum(all_4_39, all_4_38) = all_4_34
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | REDUCE: (160), (16020) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16022) sum(all_4_39, all_4_38) = all_4_32
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | REDUCE: (158), (16019) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16023) sum(all_4_39, all_4_38) = all_4_33
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_37, all_4_33,
% 259.34/65.87 | | | | | | | | | | | | | | | | all_4_38, all_4_39, simplifying with (157),
% 259.34/65.87 | | | | | | | | | | | | | | | | (16023) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16024) all_4_33 = all_4_37
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_33, all_4_32,
% 259.34/65.87 | | | | | | | | | | | | | | | | all_4_38, all_4_39, simplifying with (16022),
% 259.34/65.87 | | | | | | | | | | | | | | | | (16023) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16025) all_4_32 = all_4_33
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_34, all_4_32,
% 259.34/65.87 | | | | | | | | | | | | | | | | all_4_38, all_4_39, simplifying with (16021),
% 259.34/65.87 | | | | | | | | | | | | | | | | (16022) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16026) all_4_32 = all_4_34
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (16025), (16026) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16027) all_4_33 = all_4_34
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | SIMP: (16027) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16028) all_4_33 = all_4_34
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (16024), (16028) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | (16029) all_4_34 = all_4_37
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | BETA: splitting (15965) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16030) all_4_100 = n5
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (230), (16030) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16031) pred(n5) = all_4_76
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (199), (16030) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16032) succ(n5) = all_4_78
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (192), (16032) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16033) all_4_78 = n6
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (223), (16031) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16034) all_4_76 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (130), (16033), (16034) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16035) sum(n4, n6) = all_4_72
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (15506), (16034) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16036) sum(n4, n8) = all_4_74
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (15508), (16033) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16037) sum(n6, n6) = all_4_77
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (56), (16035) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16038) all_4_72 = n10
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n8, n4,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (58), (16036) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16039) all_4_74 = n1
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n6, n6,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (78), (16037) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16040) all_4_77 = n1
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (129), (16039), (16040) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16041) sum(n1, n1) = all_4_99
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (15510), (16038) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16042) sum(n3, n10) = all_4_98
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (18), (16041) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16043) all_4_99 = n2
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n10, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (49), (16042) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16044) all_4_98 = n2
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (232), (16044) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16045) pred(n2) = all_4_68
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (231), (16043) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16046) pred(n2) = all_4_71
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (201), (16044) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16047) succ(n2) = all_4_70
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (200), (16043) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16048) succ(n2) = all_4_67
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (189), (16048) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16049) all_4_67 = n3
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16047), (16048) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16050) all_4_67 = all_4_70
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (220), (16045) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16051) all_4_68 = n1
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16045), (16046) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16052) all_4_68 = all_4_71
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16049), (16050) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16053) all_4_70 = n3
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | SIMP: (16053) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16054) all_4_70 = n3
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16051), (16052) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16055) all_4_71 = n1
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (137), (16049), (16051) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16056) sum(n1, n3) = all_4_66
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (136), (16051), (16054) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16057) sum(n1, n3) = all_4_64
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (134), (16049), (16055) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16058) sum(n1, n3) = all_4_65
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (133), (16054), (16055) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16059) sum(n1, n3) = all_4_69
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (20), (16058) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16060) all_4_65 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16056), (16058) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16061) all_4_65 = all_4_66
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16056), (16057) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16062) all_4_64 = all_4_66
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16057), (16059) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16063) all_4_64 = all_4_69
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16062), (16063) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16064) all_4_66 = all_4_69
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | SIMP: (16064) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16065) all_4_66 = all_4_69
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16060), (16061) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16066) all_4_66 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | SIMP: (16066) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16067) all_4_66 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16065), (16067) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16068) all_4_69 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16063), (16068) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16069) all_4_64 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (138), (16060), (16069) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16070) sum(n4, n4) = all_4_96
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (135), (16067), (16068) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16071) sum(n4, n4) = all_4_97
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (54), (16070) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16072) all_4_96 = n8
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16070), (16071) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16073) all_4_96 = all_4_97
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16072), (16073) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16074) all_4_97 = n8
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (234), (16072) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16075) pred(n8) = all_4_60
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (233), (16074) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16076) pred(n8) = all_4_63
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (203), (16072) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16077) succ(n8) = all_4_62
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (202), (16074) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16078) succ(n8) = all_4_59
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_59, n8,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (195), (16078) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16079) all_4_59 = n9
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n8,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16077), (16078) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16080) all_4_59 = all_4_62
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_60, n8,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (226), (16075) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16081) all_4_60 = n7
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n8,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16075), (16076) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16082) all_4_60 = all_4_63
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16079), (16080) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16083) all_4_62 = n9
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | SIMP: (16083) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16084) all_4_62 = n9
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16081), (16082) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16085) all_4_63 = n7
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (143), (16079), (16081) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16086) sum(n7, n9) = all_4_58
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (142), (16081), (16084) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16087) sum(n7, n9) = all_4_56
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (140), (16079), (16085) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16088) sum(n7, n9) = all_4_57
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (139), (16084), (16085) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16089) sum(n7, n9) = all_4_61
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_58, n9, n7,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (92), (16086) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16090) all_4_58 = n5
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n9, n7,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16086), (16088) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16091) all_4_57 = all_4_58
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n9, n7,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16087), (16088) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16092) all_4_56 = all_4_57
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n9, n7,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16087), (16089) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16093) all_4_56 = all_4_61
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16092), (16093) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16094) all_4_57 = all_4_61
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | SIMP: (16094) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16095) all_4_57 = all_4_61
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16091), (16095) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16096) all_4_58 = all_4_61
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | SIMP: (16096) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16097) all_4_58 = all_4_61
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16090), (16097) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16098) all_4_61 = n5
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16095), (16098) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16099) all_4_57 = n5
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16093), (16098) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16100) all_4_56 = n5
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (144), (16099), (16100) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16101) sum(n5, n5) = all_4_94
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (141), (16090), (16098) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16102) sum(n5, n5) = all_4_95
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_94, n5, n5,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (66), (16101) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16103) all_4_94 = n10
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n5, n5,
% 259.34/65.87 | | | | | | | | | | | | | | | | | simplifying with (16101), (16102) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16104) all_4_94 = all_4_95
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16103), (16104) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16105) all_4_95 = n10
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (236), (16103) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16106) pred(n10) = all_4_52
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (235), (16105) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16107) pred(n10) = all_4_55
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (205), (16103) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16108) succ(n10) = all_4_54
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | REDUCE: (204), (16105) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16109) succ(n10) = all_4_51
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | BETA: splitting (16016) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_51, n10,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | simplifying with (197), (16109) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16110) all_4_51 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (220), (226), (228), (16016), (16043), (16044),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16045), (16046), (16047), (16048), (16075),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16076), (16077), (16078), (16106), (16107),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16108), (16109), (16110) are inconsistent by
% 259.34/65.87 | | | | | | | | | | | | | | | | | | sub-proof #54.
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16111) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (220),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (226), (16043), (16044), (16045), (16046),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16047), (16048), (16075), (16076), (16077),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16078), (16111) are inconsistent by sub-proof
% 259.34/65.87 | | | | | | | | | | | | | | | | | | #56.
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | (16112) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.34/65.87 | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | BETA: splitting (16016) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16113) ~ (all_4_92 = all_4_93)
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | BETA: splitting (16112) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16114) all_4_100 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16114) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16115) pred(n4) = all_4_76
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16114) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16116) succ(n4) = all_4_78
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (191), (16116) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16117) all_4_78 = n5
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (222), (16115) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16118) all_4_76 = n3
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16117), (16118) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16119) sum(n3, n5) = all_4_72
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (16118) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16120) sum(n3, n8) = all_4_74
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (16117) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16121) sum(n6, n5) = all_4_77
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (44), (16119) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16122) all_4_72 = n8
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (47), (16120) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16123) all_4_74 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (77), (16121) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16124) all_4_77 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16123), (16124) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16125) sum(n0, n0) = all_4_99
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (16122) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16126) sum(n3, n8) = all_4_98
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (6), (16125) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16127) all_4_99 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | simplifying with (47), (16126) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16128) all_4_98 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (187), (200), (201), (202), (203), (204), (205),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (218), (231), (232), (233), (234), (235), (236),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16113), (16125), (16127), (16128) are
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51.
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16129) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (16129) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16130) all_4_100 = n3
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16130) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16131) pred(n3) = all_4_76
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16130) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16132) succ(n3) = all_4_78
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16132) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16133) all_4_78 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16131) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16134) all_4_76 = n2
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16133), (16134) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16135) sum(n2, n4) = all_4_72
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (16134) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16136) sum(n2, n8) = all_4_74
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (16133) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16137) sum(n6, n4) = all_4_77
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (16135) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16138) all_4_72 = n6
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | simplifying with (36), (16136) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16139) all_4_74 = n10
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | simplifying with (76), (16137) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16140) all_4_77 = n10
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16139), (16140) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16141) sum(n10, n10) = all_4_99
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (16138) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16142) sum(n3, n6) = all_4_98
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | simplifying with (45), (16142) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16143) all_4_98 = n9
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (235), (236), (16113), (16141), (16143) are
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #50.
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (16144) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (14), (18), (20), (25), (30),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (32), (39), (41), (42), (43), (44), (54), (56),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (92), (102), (104), (105), (114), (117), (124),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (126), (129), (130), (133), (134), (135), (136),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (188),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (201), (202), (203),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (218),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | (15506), (15508), (15510), (15644), (16144) are
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16145) all_4_92 = all_4_93
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16146) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REDUCE: (238), (16145) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16147) pred(all_4_93) = all_4_44
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REDUCE: (207), (16145) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16148) succ(all_4_93) = all_4_46
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_43, all_4_46,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_93, simplifying with (206), (16148) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16149) all_4_43 = all_4_46
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_93, simplifying with (237), (16147) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16150) all_4_44 = all_4_47
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REDUCE: (155), (16149), (16150) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16151) sum(all_4_47, all_4_46) = all_4_42
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REDUCE: (154), (16150) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16152) sum(all_4_47, all_4_46) = all_4_40
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | REDUCE: (152), (16149) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16153) sum(all_4_47, all_4_46) = all_4_41
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_41,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (151),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16153) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16154) all_4_41 = all_4_45
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (16152),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16153) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16155) all_4_40 = all_4_41
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_40,
% 259.34/65.87 | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (16151),
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16152) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16156) all_4_40 = all_4_42
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16155), (16156) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16157) all_4_41 = all_4_42
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | SIMP: (16157) implies:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16158) all_4_41 = all_4_42
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16154), (16158) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | (16159) all_4_42 = all_4_45
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | BETA: splitting (16112) gives:
% 259.34/65.87 | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16160) all_4_100 = n4
% 259.34/65.87 | | | | | | | | | | | | | | | | | | |
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16160) imply:
% 259.34/65.87 | | | | | | | | | | | | | | | | | | | (16161) pred(n4) = all_4_76
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16160) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16162) succ(n4) = all_4_78
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (191), (16162) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16163) all_4_78 = n5
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (222), (16161) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16164) all_4_76 = n3
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16163), (16164) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16165) sum(n3, n5) = all_4_72
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (16164) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16166) sum(n3, n8) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (16163) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16167) sum(n6, n5) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (44), (16165) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16168) all_4_72 = n8
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n8, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (47), (16166) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16169) all_4_74 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n5, n6,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (77), (16167) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16170) all_4_77 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16169), (16170) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16171) sum(n0, n0) = all_4_99
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (16168) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16172) sum(n3, n8) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (6), (16171) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16173) all_4_99 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n8, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | simplifying with (47), (16172) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16174) all_4_98 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (144), (187), (200), (201), (202), (203), (218),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (16146), (16171),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16173), (16174) are inconsistent by sub-proof
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | #37.
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | (16175) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (16175) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16176) all_4_100 = n3
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16176) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16177) pred(n3) = all_4_76
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16176) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16178) succ(n3) = all_4_78
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16178) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16179) all_4_78 = n4
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16177) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16180) all_4_76 = n2
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16179), (16180) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16181) sum(n2, n4) = all_4_72
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (15506), (16180) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16182) sum(n2, n8) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (15508), (16179) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16183) sum(n6, n4) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (16181) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16184) all_4_72 = n6
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n8, n2,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | simplifying with (36), (16182) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16185) all_4_74 = n10
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n4, n6,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | simplifying with (76), (16183) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16186) all_4_77 = n10
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16185), (16186) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16187) sum(n10, n10) = all_4_99
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (15510), (16184) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16188) sum(n3, n6) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n6, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | simplifying with (45), (16188) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16189) all_4_98 = n9
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (90), (104), (126),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (190), (196),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (221), (227), (231),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (16146), (16187), (16189) are
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (16190) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (14), (18), (20), (25), (30),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (32), (39), (41), (42), (43), (44), (54), (56),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (92), (102), (104), (105), (114), (117), (124),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (126), (129), (130), (133), (134), (135), (136),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (188),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (201), (202), (203),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (218),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | (15506), (15508), (15510), (15644), (16190) are
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | End of split
% 259.34/65.88 | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | (16191) all_4_101 = n6 | all_4_101 = n5 | all_4_101 = n4 |
% 259.34/65.88 | | | | | | | | | | | all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.34/65.88 | | | | | | | | | | | all_4_101 = n0
% 259.34/65.88 | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | BETA: splitting (14674) gives:
% 259.34/65.88 | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | (16192) ~ (all_4_86 = all_4_87)
% 259.34/65.88 | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | BETA: splitting (15500) gives:
% 259.34/65.88 | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | (16193) all_4_100 = n7
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | REDUCE: (230), (16193) imply:
% 259.34/65.88 | | | | | | | | | | | | | (16194) pred(n7) = all_4_76
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | REDUCE: (199), (16193) imply:
% 259.34/65.88 | | | | | | | | | | | | | (16195) succ(n7) = all_4_78
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 259.34/65.88 | | | | | | | | | | | | | simplifying with (194), (16195) gives:
% 259.34/65.88 | | | | | | | | | | | | | (16196) all_4_78 = n8
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 259.34/65.88 | | | | | | | | | | | | | simplifying with (225), (16194) gives:
% 259.34/65.88 | | | | | | | | | | | | | (16197) all_4_76 = n6
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | REDUCE: (131), (16197) imply:
% 259.34/65.88 | | | | | | | | | | | | | (16198) sum(n6, all_4_75) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | REDUCE: (130), (16196), (16197) imply:
% 259.34/65.88 | | | | | | | | | | | | | (16199) sum(n6, n8) = all_4_72
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | REDUCE: (127), (16196) imply:
% 259.34/65.88 | | | | | | | | | | | | | (16200) sum(all_4_79, n8) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 259.34/65.88 | | | | | | | | | | | | | simplifying with (80), (16199) gives:
% 259.34/65.88 | | | | | | | | | | | | | (16201) all_4_72 = n3
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | REDUCE: (132), (16201) imply:
% 259.34/65.88 | | | | | | | | | | | | | (16202) sum(all_4_73, n3) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | BETA: splitting (16191) gives:
% 259.34/65.88 | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | (16203) all_4_101 = n6
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (229), (16203) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16204) pred(n6) = all_4_79
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (198), (16203) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16205) succ(n6) = all_4_75
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (193), (16205) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16206) all_4_75 = n7
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (224), (16204) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16207) all_4_79 = n5
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (128), (16206), (16207) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16208) sum(n5, n7) = all_4_73
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (16200), (16207) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16209) sum(n5, n8) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (16198), (16206) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16210) sum(n6, n7) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (68), (16208) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16211) all_4_73 = n1
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n8, n5,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (69), (16209) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16212) all_4_77 = n2
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n7, n6,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (79), (16210) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16213) all_4_74 = n2
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (16202), (16211) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16214) sum(n1, n3) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REDUCE: (129), (16212), (16213) imply:
% 259.34/65.88 | | | | | | | | | | | | | | (16215) sum(n2, n2) = all_4_99
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n3, n1,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (20), (16214) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16216) all_4_98 = n4
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.34/65.88 | | | | | | | | | | | | | | simplifying with (30), (16215) gives:
% 259.34/65.88 | | | | | | | | | | | | | | (16217) all_4_99 = n4
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.34/65.88 | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.34/65.88 | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.88 | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.88 | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.88 | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.88 | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.88 | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.88 | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.88 | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.88 | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.88 | | | | | | | | | | | | | | (240), (241), (242), (16192), (16215), (16216),
% 259.34/65.88 | | | | | | | | | | | | | | (16217) are inconsistent by sub-proof #150.
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | (16218) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.34/65.88 | | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | BETA: splitting (16218) gives:
% 259.34/65.88 | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | (16219) all_4_101 = n5
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (229), (16219) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16220) pred(n5) = all_4_79
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (198), (16219) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16221) succ(n5) = all_4_75
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (192), (16221) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16222) all_4_75 = n6
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (223), (16220) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16223) all_4_79 = n4
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (128), (16222), (16223) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16224) sum(n4, n6) = all_4_73
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (16200), (16223) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16225) sum(n4, n8) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (16198), (16222) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16226) sum(n6, n6) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (56), (16224) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16227) all_4_73 = n10
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n8, n4,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (58), (16225) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16228) all_4_77 = n1
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n6, n6,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (78), (16226) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16229) all_4_74 = n1
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (16202), (16227) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16230) sum(n10, n3) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REDUCE: (129), (16228), (16229) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | (16231) sum(n1, n1) = all_4_99
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (18), (16231) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16232) all_4_99 = n2
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n3, n10,
% 259.34/65.88 | | | | | | | | | | | | | | | simplifying with (119), (16230) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | (16233) all_4_98 = n2
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.34/65.88 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.34/65.88 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.88 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.88 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.88 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.88 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.34/65.88 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.88 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.88 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.34/65.88 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.88 | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16231), (16232),
% 259.34/65.88 | | | | | | | | | | | | | | | (16233) are inconsistent by sub-proof #149.
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | (16234) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.34/65.88 | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | BETA: splitting (16234) gives:
% 259.34/65.88 | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | (16235) all_4_101 = n4
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (229), (16235) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16236) pred(n4) = all_4_79
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (198), (16235) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16237) succ(n4) = all_4_75
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (191), (16237) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16238) all_4_75 = n5
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (222), (16236) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16239) all_4_79 = n3
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (128), (16238), (16239) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16240) sum(n3, n5) = all_4_73
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (16200), (16239) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16241) sum(n3, n8) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (16198), (16238) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16242) sum(n6, n5) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (44), (16240) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16243) all_4_73 = n8
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (47), (16241) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16244) all_4_77 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (77), (16242) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16245) all_4_74 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (16202), (16243) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16246) sum(n8, n3) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REDUCE: (129), (16244), (16245) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16247) sum(n0, n0) = all_4_99
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (6), (16247) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16248) all_4_99 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 259.34/65.88 | | | | | | | | | | | | | | | | simplifying with (97), (16246) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | (16249) all_4_98 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.34/65.88 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.88 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.88 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.88 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.88 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 259.34/65.88 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 259.34/65.88 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 259.34/65.88 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.34/65.88 | | | | | | | | | | | | | | | | (241), (242), (16192), (16247), (16248), (16249)
% 259.34/65.88 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | (16250) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.34/65.88 | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | BETA: splitting (16250) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16251) all_4_101 = n3
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (229), (16251) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16252) pred(n3) = all_4_79
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (198), (16251) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16253) succ(n3) = all_4_75
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (190), (16253) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16254) all_4_75 = n4
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (221), (16252) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16255) all_4_79 = n2
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (128), (16254), (16255) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16256) sum(n2, n4) = all_4_73
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (16200), (16255) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16257) sum(n2, n8) = all_4_77
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (16198), (16254) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16258) sum(n6, n4) = all_4_74
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (32), (16256) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16259) all_4_73 = n6
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (36), (16257) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16260) all_4_77 = n10
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (76), (16258) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16261) all_4_74 = n10
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (16202), (16259) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16262) sum(n6, n3) = all_4_98
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REDUCE: (129), (16260), (16261) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16263) sum(n10, n10) = all_4_99
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (75), (16262) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16264) all_4_98 = n9
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.34/65.88 | | | | | | | | | | | | | | | | | simplifying with (126), (16263) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16265) all_4_99 = n9
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16263), (16264),
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16265) are inconsistent by sub-proof #146.
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | (16266) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | BETA: splitting (16266) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.88 | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | (16267) all_4_101 = n2
% 259.34/65.88 | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | REDUCE: (229), (16267) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | (16268) pred(n2) = all_4_79
% 259.34/65.88 | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | REDUCE: (198), (16267) imply:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | (16269) succ(n2) = all_4_75
% 259.34/65.88 | | | | | | | | | | | | | | | | | |
% 259.34/65.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.34/65.88 | | | | | | | | | | | | | | | | | | simplifying with (189), (16269) gives:
% 259.34/65.88 | | | | | | | | | | | | | | | | | | (16270) all_4_75 = n3
% 259.34/65.88 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | simplifying with (220), (16268) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16271) all_4_79 = n1
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (128), (16270), (16271) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16272) sum(n1, n3) = all_4_73
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (16200), (16271) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16273) sum(n1, n8) = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (16198), (16270) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16274) sum(n6, n3) = all_4_74
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | simplifying with (20), (16272) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16275) all_4_73 = n4
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n8, n1,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | simplifying with (25), (16273) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16276) all_4_77 = n9
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n3, n6,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | simplifying with (75), (16274) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16277) all_4_74 = n9
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (16202), (16275) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16278) sum(n4, n3) = all_4_98
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (129), (16276), (16277) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16279) sum(n9, n9) = all_4_99
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n3, n4,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | simplifying with (53), (16278) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16280) all_4_98 = n7
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | simplifying with (114), (16279) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16281) all_4_99 = n7
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16279), (16280),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16281) are inconsistent by sub-proof #83.
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | (16282) all_4_101 = n1 | all_4_101 = n0
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | BETA: splitting (16282) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | Case 1:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16283) all_4_101 = n1
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16283) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16284) pred(n1) = all_4_79
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16283) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16285) succ(n1) = all_4_75
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (188), (16285) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16286) all_4_75 = n2
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (219), (16284) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16287) all_4_79 = n0
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16286), (16287) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16288) sum(n0, n2) = all_4_73
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (16200), (16287) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16289) sum(n0, n8) = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (16198), (16286) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16290) sum(n6, n2) = all_4_74
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (8), (16288) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16291) all_4_73 = n2
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n8, n0,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (14), (16289) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16292) all_4_77 = n8
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n2, n6,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (74), (16290) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16293) all_4_74 = n8
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (16202), (16291) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16294) sum(n2, n3) = all_4_98
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16292), (16293) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16295) sum(n8, n8) = all_4_99
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n3, n2,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (31), (16294) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16296) all_4_98 = n5
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (102), (16295) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16297) all_4_99 = n5
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16295), (16296),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16297) are inconsistent by sub-proof #69.
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | Case 2:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16298) all_4_101 = n0
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16298) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16299) pred(n0) = all_4_79
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16298) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16300) succ(n0) = all_4_75
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (187), (16300) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16301) all_4_75 = n1
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (218), (16299) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16302) all_4_79 = n10
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16301), (16302) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16303) sum(n10, n1) = all_4_73
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (16200), (16302) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16304) sum(n10, n8) = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (16198), (16301) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16305) sum(n6, n1) = all_4_74
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n1, n6,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (73), (16305) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16306) all_4_74 = n7
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (117), (16303) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16307) all_4_73 = n0
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n8, n10,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (124), (16304) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16308) all_4_77 = n7
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (16202), (16307) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16309) sum(n0, n3) = all_4_98
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16306), (16308) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16310) sum(n7, n7) = all_4_99
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n3, n0,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (9), (16309) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16311) all_4_98 = n3
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | simplifying with (90), (16310) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16312) all_4_99 = n3
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16310), (16311),
% 259.34/65.89 | | | | | | | | | | | | | | | | | | | (16312) are inconsistent by sub-proof #36.
% 259.34/65.89 | | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | | End of split
% 259.34/65.89 | | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | | End of split
% 259.34/65.89 | | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | | End of split
% 259.34/65.89 | | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | End of split
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | End of split
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | End of split
% 259.34/65.89 | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | Case 2:
% 259.34/65.89 | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | (16313) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 259.34/65.89 | | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.34/65.89 | | | | | | | | | | | | | all_4_100 = n0
% 259.34/65.89 | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | BETA: splitting (16191) gives:
% 259.34/65.89 | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | Case 1:
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | (16314) all_4_101 = n6
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | REDUCE: (229), (16314) imply:
% 259.34/65.89 | | | | | | | | | | | | | | (16315) pred(n6) = all_4_79
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | REDUCE: (198), (16314) imply:
% 259.34/65.89 | | | | | | | | | | | | | | (16316) succ(n6) = all_4_75
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.34/65.89 | | | | | | | | | | | | | | simplifying with (193), (16316) gives:
% 259.34/65.89 | | | | | | | | | | | | | | (16317) all_4_75 = n7
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.34/65.89 | | | | | | | | | | | | | | simplifying with (224), (16315) gives:
% 259.34/65.89 | | | | | | | | | | | | | | (16318) all_4_79 = n5
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | REDUCE: (131), (16317) imply:
% 259.34/65.89 | | | | | | | | | | | | | | (16319) sum(all_4_76, n7) = all_4_74
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | REDUCE: (128), (16317), (16318) imply:
% 259.34/65.89 | | | | | | | | | | | | | | (16320) sum(n5, n7) = all_4_73
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | REDUCE: (127), (16318) imply:
% 259.34/65.89 | | | | | | | | | | | | | | (16321) sum(n5, all_4_78) = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.34/65.89 | | | | | | | | | | | | | | simplifying with (68), (16320) gives:
% 259.34/65.89 | | | | | | | | | | | | | | (16322) all_4_73 = n1
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | REDUCE: (132), (16322) imply:
% 259.34/65.89 | | | | | | | | | | | | | | (16323) sum(n1, all_4_72) = all_4_98
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | BETA: splitting (16313) gives:
% 259.34/65.89 | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | Case 1:
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | (16324) all_4_100 = n6
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (230), (16324) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16325) pred(n6) = all_4_76
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (199), (16324) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16326) succ(n6) = all_4_78
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (193), (16326) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16327) all_4_78 = n7
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (224), (16325) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16328) all_4_76 = n5
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (130), (16327), (16328) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16329) sum(n5, n7) = all_4_72
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (16319), (16328) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16330) sum(n5, n7) = all_4_74
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (16321), (16327) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16331) sum(n5, n7) = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n7, n5,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (68), (16330) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16332) all_4_74 = n1
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n7, n5,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (16329), (16330) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16333) all_4_72 = all_4_74
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n7, n5,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (16329), (16331) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16334) all_4_72 = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | COMBINE_EQS: (16333), (16334) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16335) all_4_74 = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | SIMP: (16335) implies:
% 259.34/65.89 | | | | | | | | | | | | | | | (16336) all_4_74 = all_4_77
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | COMBINE_EQS: (16332), (16336) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16337) all_4_77 = n1
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | COMBINE_EQS: (16334), (16337) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16338) all_4_72 = n1
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (129), (16332), (16337) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16339) sum(n1, n1) = all_4_99
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | REDUCE: (16323), (16338) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16340) sum(n1, n1) = all_4_98
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n1, n1,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (18), (16340) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16341) all_4_98 = n2
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n1, n1,
% 259.34/65.89 | | | | | | | | | | | | | | | simplifying with (16339), (16340) gives:
% 259.34/65.89 | | | | | | | | | | | | | | | (16342) all_4_98 = all_4_99
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | COMBINE_EQS: (16341), (16342) imply:
% 259.34/65.89 | | | | | | | | | | | | | | | (16343) all_4_99 = n2
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.34/65.89 | | | | | | | | | | | | | | | SIMP: (16343) implies:
% 259.34/65.89 | | | | | | | | | | | | | | | (16344) all_4_99 = n2
% 259.34/65.89 | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.61/65.89 | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.89 | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.89 | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.89 | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.89 | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.89 | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.89 | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.89 | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.89 | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.89 | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.89 | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16339), (16341),
% 259.61/65.89 | | | | | | | | | | | | | | | (16344) are inconsistent by sub-proof #149.
% 259.61/65.89 | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | Case 2:
% 259.61/65.89 | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | (16345) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.61/65.89 | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.89 | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | BETA: splitting (16345) gives:
% 259.61/65.89 | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | Case 1:
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | (16346) all_4_100 = n5
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (230), (16346) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16347) pred(n5) = all_4_76
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (199), (16346) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16348) succ(n5) = all_4_78
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (192), (16348) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16349) all_4_78 = n6
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (223), (16347) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16350) all_4_76 = n4
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (130), (16349), (16350) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16351) sum(n4, n6) = all_4_72
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (16319), (16350) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16352) sum(n4, n7) = all_4_74
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (16321), (16349) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16353) sum(n5, n6) = all_4_77
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (56), (16351) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16354) all_4_72 = n10
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (57), (16352) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16355) all_4_74 = n0
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (67), (16353) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16356) all_4_77 = n0
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (129), (16355), (16356) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16357) sum(n0, n0) = all_4_99
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REDUCE: (16323), (16354) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16358) sum(n1, n10) = all_4_98
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (6), (16357) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16359) all_4_99 = n0
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 259.61/65.89 | | | | | | | | | | | | | | | | simplifying with (27), (16358) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | (16360) all_4_98 = n0
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.61/65.89 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.89 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.89 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.89 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.89 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 259.61/65.89 | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 259.61/65.89 | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 259.61/65.89 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.61/65.89 | | | | | | | | | | | | | | | | (241), (242), (16192), (16357), (16359), (16360)
% 259.61/65.89 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | Case 2:
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | (16361) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.61/65.89 | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | BETA: splitting (16361) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16362) all_4_100 = n4
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (230), (16362) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16363) pred(n4) = all_4_76
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (199), (16362) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16364) succ(n4) = all_4_78
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (191), (16364) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16365) all_4_78 = n5
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (222), (16363) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16366) all_4_76 = n3
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (130), (16365), (16366) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16367) sum(n3, n5) = all_4_72
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (16319), (16366) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16368) sum(n3, n7) = all_4_74
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (16321), (16365) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16369) sum(n5, n5) = all_4_77
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (44), (16367) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16370) all_4_72 = n8
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (46), (16368) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16371) all_4_74 = n10
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (66), (16369) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16372) all_4_77 = n10
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (129), (16371), (16372) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16373) sum(n10, n10) = all_4_99
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REDUCE: (16323), (16370) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16374) sum(n1, n8) = all_4_98
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (25), (16374) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16375) all_4_98 = n9
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.61/65.89 | | | | | | | | | | | | | | | | | simplifying with (126), (16373) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16376) all_4_99 = n9
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16373), (16375),
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16376) are inconsistent by sub-proof #146.
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | (16377) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.61/65.89 | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | BETA: splitting (16377) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.89 | | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | | (16378) all_4_100 = n3
% 259.61/65.89 | | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (230), (16378) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | | (16379) pred(n3) = all_4_76
% 259.61/65.89 | | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | | REDUCE: (199), (16378) imply:
% 259.61/65.89 | | | | | | | | | | | | | | | | | | (16380) succ(n3) = all_4_78
% 259.61/65.89 | | | | | | | | | | | | | | | | | |
% 259.61/65.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.61/65.89 | | | | | | | | | | | | | | | | | | simplifying with (190), (16380) gives:
% 259.61/65.89 | | | | | | | | | | | | | | | | | | (16381) all_4_78 = n4
% 259.61/65.89 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | simplifying with (221), (16379) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16382) all_4_76 = n2
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (130), (16381), (16382) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16383) sum(n2, n4) = all_4_72
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (16319), (16382) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16384) sum(n2, n7) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (16321), (16381) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16385) sum(n5, n4) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | simplifying with (32), (16383) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16386) all_4_72 = n6
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n7, n2,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | simplifying with (35), (16384) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16387) all_4_74 = n9
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n4, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | simplifying with (65), (16385) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16388) all_4_77 = n9
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (129), (16387), (16388) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16389) sum(n9, n9) = all_4_99
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (16323), (16386) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16390) sum(n1, n6) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n6, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | simplifying with (23), (16390) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16391) all_4_98 = n7
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | simplifying with (114), (16389) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16392) all_4_99 = n7
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16389), (16391),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16392) are inconsistent by sub-proof #83.
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16393) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | BETA: splitting (16393) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16394) all_4_100 = n2
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16394) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16395) pred(n2) = all_4_76
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16394) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16396) succ(n2) = all_4_78
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (189), (16396) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16397) all_4_78 = n3
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (220), (16395) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16398) all_4_76 = n1
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16397), (16398) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16399) sum(n1, n3) = all_4_72
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (16319), (16398) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16400) sum(n1, n7) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (16321), (16397) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16401) sum(n5, n3) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (20), (16399) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16402) all_4_72 = n4
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n7, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (24), (16400) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16403) all_4_74 = n8
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n3, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (64), (16401) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16404) all_4_77 = n8
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16403), (16404) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16405) sum(n8, n8) = all_4_99
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REDUCE: (16323), (16402) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16406) sum(n1, n4) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n4, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (21), (16406) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16407) all_4_98 = n5
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | simplifying with (102), (16405) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16408) all_4_99 = n5
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16405), (16407),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16408) are inconsistent by sub-proof #69.
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | (16409) all_4_100 = n1 | all_4_100 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (16409) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16410) all_4_100 = n1
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16410) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16411) pred(n1) = all_4_76
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16410) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16412) succ(n1) = all_4_78
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16412) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16413) all_4_78 = n2
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16411) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16414) all_4_76 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16413), (16414) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16415) sum(n0, n2) = all_4_72
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (16319), (16414) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16416) sum(n0, n7) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (16321), (16413) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16417) sum(n5, n2) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16415) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16418) all_4_72 = n2
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n7, n0,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (13), (16416) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16419) all_4_74 = n7
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n2, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (63), (16417) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16420) all_4_77 = n7
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16419), (16420) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16421) sum(n7, n7) = all_4_99
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (16323), (16418) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16422) sum(n1, n2) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n2, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (19), (16422) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16423) all_4_98 = n3
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (16421) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16424) all_4_99 = n3
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16421), (16423),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16424) are inconsistent by sub-proof #36.
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16425) all_4_100 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16425) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16426) pred(n0) = all_4_76
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16425) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16427) succ(n0) = all_4_78
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16427) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16428) all_4_78 = n1
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16426) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16429) all_4_76 = n10
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16428), (16429) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16430) sum(n10, n1) = all_4_72
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (16319), (16429) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16431) sum(n10, n7) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (16321), (16428) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16432) sum(n5, n1) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n1, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (62), (16432) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16433) all_4_77 = n6
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16430) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16434) all_4_72 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n7, n10,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (123), (16431) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16435) all_4_74 = n6
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16433), (16435) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16436) sum(n6, n6) = all_4_99
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (16323), (16434) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16437) sum(n1, n0) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n0, n1,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (16437) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16438) all_4_98 = n1
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16436) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16439) all_4_99 = n1
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16436), (16438),
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | | (16439) are inconsistent by sub-proof #33.
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.90 | | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | End of split
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | End of split
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | End of split
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | End of split
% 259.61/65.90 | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | Case 2:
% 259.61/65.90 | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | (16440) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.61/65.90 | | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.90 | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | BETA: splitting (16313) gives:
% 259.61/65.90 | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | Case 1:
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | (16441) all_4_100 = n6
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | REDUCE: (230), (16441) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | (16442) pred(n6) = all_4_76
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | REDUCE: (199), (16441) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | (16443) succ(n6) = all_4_78
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.61/65.90 | | | | | | | | | | | | | | | simplifying with (193), (16443) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | (16444) all_4_78 = n7
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.61/65.90 | | | | | | | | | | | | | | | simplifying with (224), (16442) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | (16445) all_4_76 = n5
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | REDUCE: (131), (16445) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | (16446) sum(n5, all_4_75) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | REDUCE: (130), (16444), (16445) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | (16447) sum(n5, n7) = all_4_72
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | REDUCE: (127), (16444) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | (16448) sum(all_4_79, n7) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | simplifying with (68), (16447) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | (16449) all_4_72 = n1
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | REDUCE: (132), (16449) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | (16450) sum(all_4_73, n1) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | BETA: splitting (16440) gives:
% 259.61/65.90 | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | Case 1:
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | (16451) all_4_101 = n5
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (229), (16451) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16452) pred(n5) = all_4_79
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (198), (16451) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16453) succ(n5) = all_4_75
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (192), (16453) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16454) all_4_75 = n6
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (223), (16452) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16455) all_4_79 = n4
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (128), (16454), (16455) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16456) sum(n4, n6) = all_4_73
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (16448), (16455) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16457) sum(n4, n7) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (16446), (16454) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16458) sum(n5, n6) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (56), (16456) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16459) all_4_73 = n10
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n7, n4,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (57), (16457) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16460) all_4_77 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n6, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (67), (16458) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16461) all_4_74 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (16450), (16459) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16462) sum(n10, n1) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (129), (16460), (16461) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16463) sum(n0, n0) = all_4_99
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (6), (16463) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16464) all_4_99 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n1, n10,
% 259.61/65.90 | | | | | | | | | | | | | | | | simplifying with (117), (16462) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16465) all_4_98 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (232), (16465) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16466) pred(n0) = all_4_68
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (231), (16464) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16467) pred(n0) = all_4_71
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (201), (16465) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16468) succ(n0) = all_4_70
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REDUCE: (200), (16464) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | (16469) succ(n0) = all_4_67
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.61/65.90 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.90 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.90 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.90 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.90 | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (202), (203),
% 259.61/65.90 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (210),
% 259.61/65.90 | | | | | | | | | | | | | | | | (211), (218), (233), (234), (235), (236), (237),
% 259.61/65.90 | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (16192),
% 259.61/65.90 | | | | | | | | | | | | | | | | (16463), (16464), (16466), (16467), (16468),
% 259.61/65.90 | | | | | | | | | | | | | | | | (16469) are inconsistent by sub-proof #148.
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | Case 2:
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | (16470) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.61/65.90 | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | BETA: splitting (16470) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16471) all_4_101 = n4
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (229), (16471) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16472) pred(n4) = all_4_79
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (198), (16471) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16473) succ(n4) = all_4_75
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (191), (16473) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16474) all_4_75 = n5
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (222), (16472) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16475) all_4_79 = n3
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (128), (16474), (16475) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16476) sum(n3, n5) = all_4_73
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (16448), (16475) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16477) sum(n3, n7) = all_4_77
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (16446), (16474) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16478) sum(n5, n5) = all_4_74
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (44), (16476) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16479) all_4_73 = n8
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (46), (16477) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16480) all_4_77 = n10
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (66), (16478) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16481) all_4_74 = n10
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (16450), (16479) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16482) sum(n8, n1) = all_4_98
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REDUCE: (129), (16480), (16481) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16483) sum(n10, n10) = all_4_99
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (95), (16482) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16484) all_4_98 = n9
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.61/65.90 | | | | | | | | | | | | | | | | | simplifying with (126), (16483) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16485) all_4_99 = n9
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16483), (16484),
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16485) are inconsistent by sub-proof #146.
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | (16486) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.61/65.90 | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | BETA: splitting (16486) gives:
% 259.61/65.90 | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16487) all_4_101 = n3
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (229), (16487) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16488) pred(n3) = all_4_79
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.90 | | | | | | | | | | | | | | | | | | REDUCE: (198), (16487) imply:
% 259.61/65.90 | | | | | | | | | | | | | | | | | | (16489) succ(n3) = all_4_75
% 259.61/65.90 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (190), (16489) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16490) all_4_75 = n4
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (221), (16488) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16491) all_4_79 = n2
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (128), (16490), (16491) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16492) sum(n2, n4) = all_4_73
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (16448), (16491) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16493) sum(n2, n7) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (16446), (16490) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16494) sum(n5, n4) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (32), (16492) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16495) all_4_73 = n6
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n7, n2,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (35), (16493) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16496) all_4_77 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n4, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (65), (16494) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16497) all_4_74 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (16450), (16495) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16498) sum(n6, n1) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (129), (16496), (16497) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16499) sum(n9, n9) = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n1, n6,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (73), (16498) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16500) all_4_98 = n7
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (114), (16499) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16501) all_4_99 = n7
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16499), (16500),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16501) are inconsistent by sub-proof #83.
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16502) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | BETA: splitting (16502) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16503) all_4_101 = n2
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16503) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16504) pred(n2) = all_4_79
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16503) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16505) succ(n2) = all_4_75
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (189), (16505) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16506) all_4_75 = n3
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (220), (16504) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16507) all_4_79 = n1
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16506), (16507) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16508) sum(n1, n3) = all_4_73
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (16448), (16507) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16509) sum(n1, n7) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (16446), (16506) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16510) sum(n5, n3) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (20), (16508) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16511) all_4_73 = n4
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n7, n1,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (24), (16509) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16512) all_4_77 = n8
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n3, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (64), (16510) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16513) all_4_74 = n8
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (16450), (16511) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16514) sum(n4, n1) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16512), (16513) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16515) sum(n8, n8) = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n1, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (51), (16514) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16516) all_4_98 = n5
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (102), (16515) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16517) all_4_99 = n5
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16515), (16516),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16517) are inconsistent by sub-proof #69.
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16518) all_4_101 = n1 | all_4_101 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (16518) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16519) all_4_101 = n1
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16519) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16520) pred(n1) = all_4_79
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16519) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16521) succ(n1) = all_4_75
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16521) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16522) all_4_75 = n2
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16520) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16523) all_4_79 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16522), (16523) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16524) sum(n0, n2) = all_4_73
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (16448), (16523) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16525) sum(n0, n7) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (16446), (16522) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16526) sum(n5, n2) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16524) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16527) all_4_73 = n2
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n7, n0,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (13), (16525) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16528) all_4_77 = n7
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n2, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (63), (16526) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16529) all_4_74 = n7
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (16450), (16527) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16530) sum(n2, n1) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16528), (16529) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16531) sum(n7, n7) = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n1, n2,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (29), (16530) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16532) all_4_98 = n3
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (16531) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16533) all_4_99 = n3
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16531), (16532),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16533) are inconsistent by sub-proof #36.
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16534) all_4_101 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16534) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16535) pred(n0) = all_4_79
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16534) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16536) succ(n0) = all_4_75
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16536) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16537) all_4_75 = n1
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16535) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16538) all_4_79 = n10
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16537), (16538) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16539) sum(n10, n1) = all_4_73
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (16448), (16538) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16540) sum(n10, n7) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (16446), (16537) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16541) sum(n5, n1) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n1, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (62), (16541) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16542) all_4_74 = n6
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16539) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16543) all_4_73 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n7, n10,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (123), (16540) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16544) all_4_77 = n6
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (16450), (16543) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16545) sum(n0, n1) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16542), (16544) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16546) sum(n6, n6) = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n1, n0,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (7), (16545) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16547) all_4_98 = n1
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16546) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16548) all_4_99 = n1
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16546), (16547),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | | (16548) are inconsistent by sub-proof #33.
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | End of split
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | End of split
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | End of split
% 259.61/65.91 | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | Case 2:
% 259.61/65.91 | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | (16549) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.61/65.91 | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.91 | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | BETA: splitting (16440) gives:
% 259.61/65.91 | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | Case 1:
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | (16550) all_4_101 = n5
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | REDUCE: (229), (16550) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16551) pred(n5) = all_4_79
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | REDUCE: (198), (16550) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16552) succ(n5) = all_4_75
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | simplifying with (192), (16552) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16553) all_4_75 = n6
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | simplifying with (223), (16551) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16554) all_4_79 = n4
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | REDUCE: (131), (16553) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16555) sum(all_4_76, n6) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | REDUCE: (128), (16553), (16554) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16556) sum(n4, n6) = all_4_73
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | REDUCE: (127), (16554) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16557) sum(n4, all_4_78) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | simplifying with (56), (16556) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16558) all_4_73 = n10
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | REDUCE: (132), (16558) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | (16559) sum(n10, all_4_72) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | BETA: splitting (16549) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16560) all_4_100 = n5
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (230), (16560) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16561) pred(n5) = all_4_76
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (199), (16560) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16562) succ(n5) = all_4_78
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | | simplifying with (192), (16562) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16563) all_4_78 = n6
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.61/65.91 | | | | | | | | | | | | | | | | | simplifying with (223), (16561) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16564) all_4_76 = n4
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (130), (16563), (16564) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16565) sum(n4, n6) = all_4_72
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (16555), (16564) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16566) sum(n4, n6) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (16557), (16563) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16567) sum(n4, n6) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | simplifying with (56), (16566) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16568) all_4_74 = n10
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | simplifying with (16565), (16566) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16569) all_4_72 = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | simplifying with (16565), (16567) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16570) all_4_72 = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16569), (16570) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16571) all_4_74 = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | SIMP: (16571) implies:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16572) all_4_74 = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16568), (16572) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16573) all_4_77 = n10
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16570), (16573) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16574) all_4_72 = n10
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (129), (16568), (16573) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16575) sum(n10, n10) = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REDUCE: (16559), (16574) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16576) sum(n10, n10) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 259.61/65.91 | | | | | | | | | | | | | | | | | simplifying with (126), (16576) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16577) all_4_98 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 259.61/65.91 | | | | | | | | | | | | | | | | | n10, simplifying with (16575), (16576) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16578) all_4_98 = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16577), (16578) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16579) all_4_99 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | SIMP: (16579) implies:
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16580) all_4_99 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16575), (16577),
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16580) are inconsistent by sub-proof #146.
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | (16581) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.61/65.91 | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | BETA: splitting (16581) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16582) all_4_100 = n4
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (230), (16582) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16583) pred(n4) = all_4_76
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (199), (16582) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16584) succ(n4) = all_4_78
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (191), (16584) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16585) all_4_78 = n5
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (222), (16583) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16586) all_4_76 = n3
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (130), (16585), (16586) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16587) sum(n3, n5) = all_4_72
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (16555), (16586) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16588) sum(n3, n6) = all_4_74
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (16557), (16585) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16589) sum(n4, n5) = all_4_77
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (44), (16587) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16590) all_4_72 = n8
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n6, n3,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (45), (16588) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16591) all_4_74 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n5, n4,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (55), (16589) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16592) all_4_77 = n9
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (129), (16591), (16592) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16593) sum(n9, n9) = all_4_99
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REDUCE: (16559), (16590) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16594) sum(n10, n8) = all_4_98
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (114), (16593) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16595) all_4_99 = n7
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n8, n10,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | simplifying with (124), (16594) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16596) all_4_98 = n7
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16593), (16595),
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16596) are inconsistent by sub-proof #83.
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | (16597) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | BETA: splitting (16597) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16598) all_4_100 = n3
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16598) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16599) pred(n3) = all_4_76
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16598) imply:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16600) succ(n3) = all_4_78
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (190), (16600) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16601) all_4_78 = n4
% 259.61/65.91 | | | | | | | | | | | | | | | | | | |
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | simplifying with (221), (16599) gives:
% 259.61/65.91 | | | | | | | | | | | | | | | | | | | (16602) all_4_76 = n2
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16601), (16602) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16603) sum(n2, n4) = all_4_72
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16555), (16602) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16604) sum(n2, n6) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16557), (16601) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16605) sum(n4, n4) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (32), (16603) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16606) all_4_72 = n6
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n6, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (34), (16604) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16607) all_4_74 = n8
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n4, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (54), (16605) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16608) all_4_77 = n8
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16607), (16608) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16609) sum(n8, n8) = all_4_99
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16559), (16606) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16610) sum(n10, n6) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (102), (16609) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16611) all_4_99 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n6, n10,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (122), (16610) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16612) all_4_98 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16609), (16611),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16612) are inconsistent by sub-proof #69.
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16613) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (16613) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16614) all_4_100 = n2
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16614) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16615) pred(n2) = all_4_76
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16614) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16616) succ(n2) = all_4_78
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (16616) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16617) all_4_78 = n3
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (16615) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16618) all_4_76 = n1
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16617), (16618) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16619) sum(n1, n3) = all_4_72
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (16555), (16618) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16620) sum(n1, n6) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (16557), (16617) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16621) sum(n4, n3) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (16619) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16622) all_4_72 = n4
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n6, n1,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (23), (16620) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16623) all_4_74 = n7
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n3, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (53), (16621) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16624) all_4_77 = n7
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16623), (16624) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16625) sum(n7, n7) = all_4_99
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (16559), (16622) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16626) sum(n10, n4) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (16625) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16627) all_4_99 = n3
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n4, n10,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (120), (16626) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16628) all_4_98 = n3
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16625), (16627),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16628) are inconsistent by sub-proof #36.
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16629) all_4_100 = n1 | all_4_100 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16629) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16630) all_4_100 = n1
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16630) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16631) pred(n1) = all_4_76
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16630) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16632) succ(n1) = all_4_78
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16632) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16633) all_4_78 = n2
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16631) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16634) all_4_76 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16633), (16634) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16635) sum(n0, n2) = all_4_72
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16555), (16634) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16636) sum(n0, n6) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16557), (16633) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16637) sum(n4, n2) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16635) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16638) all_4_72 = n2
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n6, n0,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (16636) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16639) all_4_74 = n6
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n2, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (16637) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16640) all_4_77 = n6
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16639), (16640) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16641) sum(n6, n6) = all_4_99
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16559), (16638) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16642) sum(n10, n2) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16641) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16643) all_4_99 = n1
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n2, n10,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (16642) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16644) all_4_98 = n1
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16641), (16643),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16644) are inconsistent by sub-proof #33.
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16645) all_4_100 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16645) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16646) pred(n0) = all_4_76
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16645) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16647) succ(n0) = all_4_78
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16647) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16648) all_4_78 = n1
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16646) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16649) all_4_76 = n10
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16648), (16649) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16650) sum(n10, n1) = all_4_72
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16555), (16649) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16651) sum(n10, n6) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16557), (16648) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16652) sum(n4, n1) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n1, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (16652) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16653) all_4_77 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16650) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16654) all_4_72 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n6, n10,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (16651) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16655) all_4_74 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16653), (16655) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16656) sum(n5, n5) = all_4_99
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16559), (16654) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16657) sum(n10, n0) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (16656) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16658) all_4_99 = n10
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n0, n10,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (16657) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16659) all_4_98 = n10
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16656), (16658),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | | (16659) are inconsistent by sub-proof #32.
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | End of split
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | End of split
% 259.61/65.92 | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | Case 2:
% 259.61/65.92 | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | (16660) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.61/65.92 | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | BETA: splitting (16549) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16661) all_4_100 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | REDUCE: (230), (16661) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16662) pred(n5) = all_4_76
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | REDUCE: (199), (16661) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16663) succ(n5) = all_4_78
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.61/65.92 | | | | | | | | | | | | | | | | | simplifying with (192), (16663) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16664) all_4_78 = n6
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.61/65.92 | | | | | | | | | | | | | | | | | simplifying with (223), (16662) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16665) all_4_76 = n4
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | REDUCE: (131), (16665) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16666) sum(n4, all_4_75) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | REDUCE: (130), (16664), (16665) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16667) sum(n4, n6) = all_4_72
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | REDUCE: (127), (16664) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16668) sum(all_4_79, n6) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | simplifying with (56), (16667) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16669) all_4_72 = n10
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | REDUCE: (132), (16669) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | (16670) sum(all_4_73, n10) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | BETA: splitting (16660) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16671) all_4_101 = n4
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (229), (16671) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16672) pred(n4) = all_4_79
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (198), (16671) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16673) succ(n4) = all_4_75
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (191), (16673) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16674) all_4_75 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (222), (16672) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16675) all_4_79 = n3
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (128), (16674), (16675) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16676) sum(n3, n5) = all_4_73
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (16668), (16675) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16677) sum(n3, n6) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (16666), (16674) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16678) sum(n4, n5) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (44), (16676) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16679) all_4_73 = n8
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (45), (16677) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16680) all_4_77 = n9
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (55), (16678) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16681) all_4_74 = n9
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (16670), (16679) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16682) sum(n8, n10) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REDUCE: (129), (16680), (16681) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16683) sum(n9, n9) = all_4_99
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (104), (16682) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16684) all_4_98 = n7
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | simplifying with (114), (16683) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16685) all_4_99 = n7
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16683), (16684),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16685) are inconsistent by sub-proof #83.
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | (16686) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | BETA: splitting (16686) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16687) all_4_101 = n3
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16687) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16688) pred(n3) = all_4_79
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16687) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16689) succ(n3) = all_4_75
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (190), (16689) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16690) all_4_75 = n4
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (221), (16688) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16691) all_4_79 = n2
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16690), (16691) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16692) sum(n2, n4) = all_4_73
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16668), (16691) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16693) sum(n2, n6) = all_4_77
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16666), (16690) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16694) sum(n4, n4) = all_4_74
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (32), (16692) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16695) all_4_73 = n6
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (34), (16693) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16696) all_4_77 = n8
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (54), (16694) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16697) all_4_74 = n8
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16670), (16695) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16698) sum(n6, n10) = all_4_98
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16696), (16697) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16699) sum(n8, n8) = all_4_99
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (82), (16698) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16700) all_4_98 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | simplifying with (102), (16699) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16701) all_4_99 = n5
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16699), (16700),
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16701) are inconsistent by sub-proof #69.
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | (16702) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (16702) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16703) all_4_101 = n2
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16703) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16704) pred(n2) = all_4_79
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16703) imply:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16705) succ(n2) = all_4_75
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (16705) gives:
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | | (16706) all_4_75 = n3
% 259.61/65.92 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (16704) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16707) all_4_79 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16706), (16707) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16708) sum(n1, n3) = all_4_73
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (16668), (16707) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16709) sum(n1, n6) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (16666), (16706) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16710) sum(n4, n3) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (16708) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16711) all_4_73 = n4
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (23), (16709) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16712) all_4_77 = n7
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (53), (16710) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16713) all_4_74 = n7
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (16670), (16711) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16714) sum(n4, n10) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16712), (16713) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16715) sum(n7, n7) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (60), (16714) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16716) all_4_98 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (16715) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16717) all_4_99 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16715), (16716),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16717) are inconsistent by sub-proof #36.
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16718) all_4_101 = n1 | all_4_101 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16718) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16719) all_4_101 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16719) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16720) pred(n1) = all_4_79
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16719) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16721) succ(n1) = all_4_75
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16721) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16722) all_4_75 = n2
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16720) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16723) all_4_79 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16722), (16723) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16724) sum(n0, n2) = all_4_73
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16668), (16723) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16725) sum(n0, n6) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16666), (16722) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16726) sum(n4, n2) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16724) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16727) all_4_73 = n2
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (16725) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16728) all_4_77 = n6
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (16726) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16729) all_4_74 = n6
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16670), (16727) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16730) sum(n2, n10) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16728), (16729) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16731) sum(n6, n6) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (16730) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16732) all_4_98 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16731) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16733) all_4_99 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16731), (16732),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16733) are inconsistent by sub-proof #33.
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16734) all_4_101 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16734) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16735) pred(n0) = all_4_79
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16734) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16736) succ(n0) = all_4_75
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16736) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16737) all_4_75 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16735) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16738) all_4_79 = n10
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16737), (16738) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16739) sum(n10, n1) = all_4_73
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16668), (16738) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16740) sum(n10, n6) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16666), (16737) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16741) sum(n4, n1) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (16741) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16742) all_4_74 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16739) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16743) all_4_73 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (16740) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16744) all_4_77 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16670), (16743) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16745) sum(n0, n10) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16742), (16744) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16746) sum(n5, n5) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (16745) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16747) all_4_98 = n10
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (16746) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16748) all_4_99 = n10
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16746), (16747),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16748) are inconsistent by sub-proof #32.
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | End of split
% 259.61/65.93 | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.93 | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | (16749) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.61/65.93 | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | BETA: splitting (16660) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16750) all_4_101 = n4
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | REDUCE: (229), (16750) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16751) pred(n4) = all_4_79
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | REDUCE: (198), (16750) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16752) succ(n4) = all_4_75
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | simplifying with (191), (16752) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16753) all_4_75 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | simplifying with (222), (16751) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16754) all_4_79 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | REDUCE: (131), (16753) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16755) sum(all_4_76, n5) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | REDUCE: (128), (16753), (16754) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16756) sum(n3, n5) = all_4_73
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | REDUCE: (127), (16754) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16757) sum(n3, all_4_78) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | simplifying with (44), (16756) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16758) all_4_73 = n8
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | REDUCE: (132), (16758) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | (16759) sum(n8, all_4_72) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | BETA: splitting (16749) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16760) all_4_100 = n4
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16760) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16761) pred(n4) = all_4_76
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16760) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16762) succ(n4) = all_4_78
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (191), (16762) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16763) all_4_78 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (222), (16761) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16764) all_4_76 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16763), (16764) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16765) sum(n3, n5) = all_4_72
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (16755), (16764) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16766) sum(n3, n5) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (16757), (16763) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16767) sum(n3, n5) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (44), (16766) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16768) all_4_74 = n8
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (16765), (16766) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16769) all_4_72 = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (16765), (16767) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16770) all_4_72 = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16769), (16770) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16771) all_4_74 = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | SIMP: (16771) implies:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16772) all_4_74 = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16768), (16772) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16773) all_4_77 = n8
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16770), (16773) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16774) all_4_72 = n8
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16768), (16773) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16775) sum(n8, n8) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REDUCE: (16759), (16774) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16776) sum(n8, n8) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (102), (16776) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16777) all_4_98 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | simplifying with (16775), (16776) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16778) all_4_98 = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16777), (16778) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16779) all_4_99 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | SIMP: (16779) implies:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16780) all_4_99 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16775), (16777),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16780) are inconsistent by sub-proof #69.
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | (16781) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (16781) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16782) all_4_100 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16782) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16783) pred(n3) = all_4_76
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16782) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16784) succ(n3) = all_4_78
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16784) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16785) all_4_78 = n4
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16783) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16786) all_4_76 = n2
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16785), (16786) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16787) sum(n2, n4) = all_4_72
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (16755), (16786) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16788) sum(n2, n5) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (16757), (16785) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16789) sum(n3, n4) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (16787) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16790) all_4_72 = n6
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (33), (16788) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16791) all_4_74 = n7
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (43), (16789) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16792) all_4_77 = n7
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16791), (16792) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16793) sum(n7, n7) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (16759), (16790) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16794) sum(n8, n6) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (16793) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16795) all_4_99 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | simplifying with (100), (16794) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16796) all_4_98 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16793), (16795),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16796) are inconsistent by sub-proof #36.
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | (16797) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16797) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16798) all_4_100 = n2
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16798) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16799) pred(n2) = all_4_76
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16798) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16800) succ(n2) = all_4_78
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (16800) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16801) all_4_78 = n3
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (16799) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16802) all_4_76 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16801), (16802) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16803) sum(n1, n3) = all_4_72
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16755), (16802) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16804) sum(n1, n5) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16757), (16801) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16805) sum(n3, n3) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (16803) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16806) all_4_72 = n4
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (16804) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16807) all_4_74 = n6
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (16805) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16808) all_4_77 = n6
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16807), (16808) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16809) sum(n6, n6) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16759), (16806) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16810) sum(n8, n4) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16809) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16811) all_4_99 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (16810) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16812) all_4_98 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16809), (16811),
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16812) are inconsistent by sub-proof #33.
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | (16813) all_4_100 = n1 | all_4_100 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16813) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16814) all_4_100 = n1
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16814) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16815) pred(n1) = all_4_76
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16814) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16816) succ(n1) = all_4_78
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16816) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16817) all_4_78 = n2
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16815) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16818) all_4_76 = n0
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16817), (16818) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16819) sum(n0, n2) = all_4_72
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16755), (16818) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16820) sum(n0, n5) = all_4_74
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16757), (16817) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16821) sum(n3, n2) = all_4_77
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16819) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16822) all_4_72 = n2
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (16820) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16823) all_4_74 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (16821) gives:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16824) all_4_77 = n5
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16823), (16824) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16825) sum(n5, n5) = all_4_99
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16759), (16822) imply:
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | | (16826) sum(n8, n2) = all_4_98
% 259.61/65.93 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (16825) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16827) all_4_99 = n10
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (16826) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16828) all_4_98 = n10
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16825), (16827),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16828) are inconsistent by sub-proof #32.
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16829) all_4_100 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16829) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16830) pred(n0) = all_4_76
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16829) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16831) succ(n0) = all_4_78
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16831) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16832) all_4_78 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16830) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16833) all_4_76 = n10
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16832), (16833) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16834) sum(n10, n1) = all_4_72
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16755), (16833) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16835) sum(n10, n5) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16757), (16832) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16836) sum(n3, n1) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (16836) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16837) all_4_77 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16834) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16838) all_4_72 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (16835) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16839) all_4_74 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16837), (16839) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16840) sum(n4, n4) = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16759), (16838) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16841) sum(n8, n0) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (16840) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16842) all_4_99 = n8
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (16841) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16843) all_4_98 = n8
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16840), (16842),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16843) are inconsistent by sub-proof #152.
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.94 | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | (16844) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | BETA: splitting (16749) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16845) all_4_100 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16845) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16846) pred(n4) = all_4_76
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16845) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16847) succ(n4) = all_4_78
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | simplifying with (191), (16847) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16848) all_4_78 = n5
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | simplifying with (222), (16846) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16849) all_4_76 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (16849) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16850) sum(n3, all_4_75) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16848), (16849) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16851) sum(n3, n5) = all_4_72
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (16848) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16852) sum(all_4_79, n5) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | simplifying with (44), (16851) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16853) all_4_72 = n8
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (16853) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16854) sum(all_4_73, n8) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (16844) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16855) all_4_101 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16855) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16856) pred(n3) = all_4_79
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16855) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16857) succ(n3) = all_4_75
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16857) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16858) all_4_75 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16856) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16859) all_4_79 = n2
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16858), (16859) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16860) sum(n2, n4) = all_4_73
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (16852), (16859) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16861) sum(n2, n5) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (16850), (16858) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16862) sum(n3, n4) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (16860) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16863) all_4_73 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (33), (16861) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16864) all_4_77 = n7
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (43), (16862) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16865) all_4_74 = n7
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (16854), (16863) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16866) sum(n6, n8) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16864), (16865) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16867) sum(n7, n7) = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (80), (16866) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16868) all_4_98 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (16867) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16869) all_4_99 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16867), (16868),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16869) are inconsistent by sub-proof #36.
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16870) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16870) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16871) all_4_101 = n2
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16871) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16872) pred(n2) = all_4_79
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16871) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16873) succ(n2) = all_4_75
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (16873) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16874) all_4_75 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (16872) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16875) all_4_79 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16874), (16875) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16876) sum(n1, n3) = all_4_73
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16852), (16875) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16877) sum(n1, n5) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16850), (16874) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16878) sum(n3, n3) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (16876) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16879) all_4_73 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (16877) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16880) all_4_77 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (16878) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16881) all_4_74 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16854), (16879) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16882) sum(n4, n8) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16880), (16881) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16883) sum(n6, n6) = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (16882) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16884) all_4_98 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16883) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16885) all_4_99 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16883), (16884),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16885) are inconsistent by sub-proof #33.
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16886) all_4_101 = n1 | all_4_101 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16886) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16887) all_4_101 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16887) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16888) pred(n1) = all_4_79
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16887) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16889) succ(n1) = all_4_75
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16889) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16890) all_4_75 = n2
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16888) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16891) all_4_79 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16890), (16891) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16892) sum(n0, n2) = all_4_73
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16852), (16891) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16893) sum(n0, n5) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16850), (16890) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16894) sum(n3, n2) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16892) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16895) all_4_73 = n2
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (16893) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16896) all_4_77 = n5
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (16894) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16897) all_4_74 = n5
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16854), (16895) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16898) sum(n2, n8) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16896), (16897) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16899) sum(n5, n5) = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (16898) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16900) all_4_98 = n10
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (16899) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16901) all_4_99 = n10
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16899), (16900),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16901) are inconsistent by sub-proof #32.
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16902) all_4_101 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16902) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16903) pred(n0) = all_4_79
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16902) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16904) succ(n0) = all_4_75
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16904) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16905) all_4_75 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16903) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16906) all_4_79 = n10
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16905), (16906) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16907) sum(n10, n1) = all_4_73
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16852), (16906) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16908) sum(n10, n5) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16850), (16905) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16909) sum(n3, n1) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (16909) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16910) all_4_74 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16907) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16911) all_4_73 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (16908) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16912) all_4_77 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16854), (16911) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16913) sum(n0, n8) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16910), (16912) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16914) sum(n4, n4) = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (16913) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16915) all_4_98 = n8
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (16914) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16916) all_4_99 = n8
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16914), (16915),
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | | (16916) are inconsistent by sub-proof #152.
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | (16917) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (16844) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16918) all_4_101 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (16918) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16919) pred(n3) = all_4_79
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (16918) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16920) succ(n3) = all_4_75
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16920) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16921) all_4_75 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16919) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16922) all_4_79 = n2
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (16921) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16923) sum(all_4_76, n4) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16921), (16922) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16924) sum(n2, n4) = all_4_73
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (16922) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16925) sum(n2, all_4_78) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (16924) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16926) all_4_73 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (16926) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | (16927) sum(n6, all_4_72) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16917) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16928) all_4_100 = n3
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16928) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16929) pred(n3) = all_4_76
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16928) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16930) succ(n3) = all_4_78
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16930) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16931) all_4_78 = n4
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16929) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16932) all_4_76 = n2
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16931), (16932) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16933) sum(n2, n4) = all_4_72
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16923), (16932) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16934) sum(n2, n4) = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16925), (16931) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16935) sum(n2, n4) = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (16934) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16936) all_4_74 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (16933), (16934) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16937) all_4_72 = all_4_74
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (16933), (16935) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16938) all_4_72 = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16937), (16938) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16939) all_4_74 = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | SIMP: (16939) implies:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16940) all_4_74 = all_4_77
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16936), (16940) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16941) all_4_77 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16938), (16941) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16942) all_4_72 = n6
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16936), (16941) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16943) sum(n6, n6) = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16927), (16942) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16944) sum(n6, n6) = all_4_98
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (16944) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16945) all_4_98 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (16943), (16944) gives:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16946) all_4_98 = all_4_99
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16945), (16946) imply:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16947) all_4_99 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | SIMP: (16947) implies:
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | | (16948) all_4_99 = n1
% 259.61/65.94 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (14674), (16943), (16945),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (16948) are inconsistent by sub-proof #33.
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (16949) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16949) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16950) all_4_100 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16950) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16951) pred(n2) = all_4_76
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16950) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16952) succ(n2) = all_4_78
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (16952) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16953) all_4_78 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (16951) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16954) all_4_76 = n1
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16953), (16954) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16955) sum(n1, n3) = all_4_72
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16923), (16954) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16956) sum(n1, n4) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16925), (16953) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16957) sum(n2, n3) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (16955) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16958) all_4_72 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (16956) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16959) all_4_74 = n5
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (16957) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16960) all_4_77 = n5
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16959), (16960) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16961) sum(n5, n5) = all_4_99
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16927), (16958) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16962) sum(n6, n4) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (16961) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16963) all_4_99 = n10
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (16962) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16964) all_4_98 = n10
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16961), (16963),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16964) are inconsistent by sub-proof #32.
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (16965) all_4_100 = n1 | all_4_100 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16965) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16966) all_4_100 = n1
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16966) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16967) pred(n1) = all_4_76
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16966) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16968) succ(n1) = all_4_78
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (16968) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16969) all_4_78 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (16967) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16970) all_4_76 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16969), (16970) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16971) sum(n0, n2) = all_4_72
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16923), (16970) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16972) sum(n0, n4) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16925), (16969) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16973) sum(n2, n2) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (16971) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16974) all_4_72 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (16972) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16975) all_4_74 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (16973) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16976) all_4_77 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16975), (16976) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16977) sum(n4, n4) = all_4_99
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16927), (16974) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16978) sum(n6, n2) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (16977) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16979) all_4_99 = n8
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (16978) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16980) all_4_98 = n8
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16977), (16979),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16980) are inconsistent by sub-proof #152.
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16981) all_4_100 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16981) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16982) pred(n0) = all_4_76
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16981) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16983) succ(n0) = all_4_78
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (16983) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16984) all_4_78 = n1
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (16982) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16985) all_4_76 = n10
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (16984), (16985) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16986) sum(n10, n1) = all_4_72
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16923), (16985) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16987) sum(n10, n4) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16925), (16984) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16988) sum(n2, n1) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (16988) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16989) all_4_77 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (16986) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16990) all_4_72 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (16987) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16991) all_4_74 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16989), (16991) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16992) sum(n3, n3) = all_4_99
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16927), (16990) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16993) sum(n6, n0) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (16992) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16994) all_4_99 = n6
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (16993) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16995) all_4_98 = n6
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (16992), (16994),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (16995) are inconsistent by sub-proof #151.
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | (16996) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16917) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (16997) all_4_100 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (16997) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (16998) pred(n3) = all_4_76
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (16997) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (16999) succ(n3) = all_4_78
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (16999) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17000) all_4_78 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (16998) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17001) all_4_76 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (17001) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17002) sum(n2, all_4_75) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17000), (17001) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17003) sum(n2, n4) = all_4_72
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (17000) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17004) sum(all_4_79, n4) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (17003) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17005) all_4_72 = n6
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (17005) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | (17006) sum(all_4_73, n6) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16996) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17007) all_4_101 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17007) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17008) pred(n2) = all_4_79
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17007) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17009) succ(n2) = all_4_75
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (17009) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17010) all_4_75 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (17008) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17011) all_4_79 = n1
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17010), (17011) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17012) sum(n1, n3) = all_4_73
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17004), (17011) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17013) sum(n1, n4) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17002), (17010) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17014) sum(n2, n3) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (17012) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17015) all_4_73 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (17013) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17016) all_4_77 = n5
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (17014) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17017) all_4_74 = n5
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17006), (17015) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17018) sum(n4, n6) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17016), (17017) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17019) sum(n5, n5) = all_4_99
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (17018) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17020) all_4_98 = n10
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (17019) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17021) all_4_99 = n10
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17019), (17020),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17021) are inconsistent by sub-proof #32.
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | (17022) all_4_101 = n1 | all_4_101 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17022) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17023) all_4_101 = n1
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17023) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17024) pred(n1) = all_4_79
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17023) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17025) succ(n1) = all_4_75
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17025) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17026) all_4_75 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17024) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17027) all_4_79 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17026), (17027) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17028) sum(n0, n2) = all_4_73
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17004), (17027) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17029) sum(n0, n4) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17002), (17026) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17030) sum(n2, n2) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17028) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17031) all_4_73 = n2
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (17029) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17032) all_4_77 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (17030) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17033) all_4_74 = n4
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17006), (17031) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17034) sum(n2, n6) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17032), (17033) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17035) sum(n4, n4) = all_4_99
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (17034) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17036) all_4_98 = n8
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (17035) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17037) all_4_99 = n8
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17035), (17036),
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17037) are inconsistent by sub-proof #152.
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17038) all_4_101 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17038) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17039) pred(n0) = all_4_79
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17038) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17040) succ(n0) = all_4_75
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17040) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17041) all_4_75 = n1
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17039) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17042) all_4_79 = n10
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17041), (17042) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17043) sum(n10, n1) = all_4_73
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17004), (17042) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17044) sum(n10, n4) = all_4_77
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17002), (17041) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17045) sum(n2, n1) = all_4_74
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (17045) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17046) all_4_74 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17043) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17047) all_4_73 = n0
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (17044) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17048) all_4_77 = n3
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17006), (17047) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17049) sum(n0, n6) = all_4_98
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17046), (17048) imply:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17050) sum(n3, n3) = all_4_99
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (17049) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17051) all_4_98 = n6
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (17050) gives:
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | | (17052) all_4_99 = n6
% 259.61/65.95 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17050), (17051),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17052) are inconsistent by sub-proof #151.
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | (17053) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16996) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17054) all_4_101 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17054) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17055) pred(n2) = all_4_79
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17054) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17056) succ(n2) = all_4_75
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (17056) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17057) all_4_75 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (17055) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17058) all_4_79 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (17057) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17059) sum(all_4_76, n3) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17057), (17058) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17060) sum(n1, n3) = all_4_73
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (17058) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17061) sum(n1, all_4_78) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (17060) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17062) all_4_73 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (17062) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17063) sum(n4, all_4_72) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17053) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17064) all_4_100 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17064) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17065) pred(n2) = all_4_76
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17064) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17066) succ(n2) = all_4_78
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (17066) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17067) all_4_78 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (17065) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17068) all_4_76 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17067), (17068) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17069) sum(n1, n3) = all_4_72
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17059), (17068) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17070) sum(n1, n3) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17061), (17067) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17071) sum(n1, n3) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (17070) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17072) all_4_74 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17069), (17070) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17073) all_4_72 = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17069), (17071) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17074) all_4_72 = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17073), (17074) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17075) all_4_74 = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17075) implies:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17076) all_4_74 = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17072), (17076) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17077) all_4_77 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17074), (17077) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17078) all_4_72 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17072), (17077) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17079) sum(n4, n4) = all_4_99
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17063), (17078) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17080) sum(n4, n4) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (17080) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17081) all_4_98 = n8
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17079), (17080) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17082) all_4_98 = all_4_99
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17081), (17082) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17083) all_4_99 = n8
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17083) implies:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17084) all_4_99 = n8
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17079), (17081),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17084) are inconsistent by sub-proof #152.
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17085) all_4_100 = n1 | all_4_100 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17085) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17086) all_4_100 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17086) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17087) pred(n1) = all_4_76
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17086) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17088) succ(n1) = all_4_78
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17088) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17089) all_4_78 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17087) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17090) all_4_76 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17089), (17090) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17091) sum(n0, n2) = all_4_72
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17059), (17090) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17092) sum(n0, n3) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17061), (17089) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17093) sum(n1, n2) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17091) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17094) all_4_72 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (17092) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17095) all_4_74 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (17093) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17096) all_4_77 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17095), (17096) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17097) sum(n3, n3) = all_4_99
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17063), (17094) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17098) sum(n4, n2) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (17097) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17099) all_4_99 = n6
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (17098) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17100) all_4_98 = n6
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17097), (17099),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17100) are inconsistent by sub-proof #151.
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17101) all_4_100 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17101) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17102) pred(n0) = all_4_76
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17101) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17103) succ(n0) = all_4_78
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17103) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17104) all_4_78 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17102) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17105) all_4_76 = n10
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17104), (17105) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17106) sum(n10, n1) = all_4_72
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17059), (17105) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17107) sum(n10, n3) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17061), (17104) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17108) sum(n1, n1) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (17108) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17109) all_4_77 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17106) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17110) all_4_72 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (17107) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17111) all_4_74 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17109), (17111) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17112) sum(n2, n2) = all_4_99
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17063), (17110) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17113) sum(n4, n0) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (17112) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17114) all_4_99 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (17113) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17115) all_4_98 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17112), (17114),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17115) are inconsistent by sub-proof #150.
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | (17116) all_4_101 = n1 | all_4_101 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17053) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17117) all_4_100 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17117) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17118) pred(n2) = all_4_76
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17117) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17119) succ(n2) = all_4_78
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (17119) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17120) all_4_78 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (17118) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17121) all_4_76 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (17121) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17122) sum(n1, all_4_75) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17120), (17121) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17123) sum(n1, n3) = all_4_72
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (17120) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17124) sum(all_4_79, n3) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (17123) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17125) all_4_72 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (17125) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17126) sum(all_4_73, n4) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17116) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17127) all_4_101 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17127) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17128) pred(n1) = all_4_79
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17127) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17129) succ(n1) = all_4_75
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17129) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17130) all_4_75 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17128) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17131) all_4_79 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17130), (17131) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17132) sum(n0, n2) = all_4_73
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17124), (17131) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17133) sum(n0, n3) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17122), (17130) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17134) sum(n1, n2) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17132) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17135) all_4_73 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (17133) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17136) all_4_77 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (17134) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17137) all_4_74 = n3
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17126), (17135) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17138) sum(n2, n4) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17136), (17137) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17139) sum(n3, n3) = all_4_99
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (17138) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17140) all_4_98 = n6
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (17139) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17141) all_4_99 = n6
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17139), (17140),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17141) are inconsistent by sub-proof #151.
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17142) all_4_101 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17142) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17143) pred(n0) = all_4_79
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17142) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17144) succ(n0) = all_4_75
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17144) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17145) all_4_75 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17143) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17146) all_4_79 = n10
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17145), (17146) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17147) sum(n10, n1) = all_4_73
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17124), (17146) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17148) sum(n10, n3) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17122), (17145) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17149) sum(n1, n1) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (17149) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17150) all_4_74 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17147) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17151) all_4_73 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (17148) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17152) all_4_77 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17126), (17151) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17153) sum(n0, n4) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17150), (17152) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17154) sum(n2, n2) = all_4_99
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (17153) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17155) all_4_98 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (17154) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17156) all_4_99 = n4
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17154), (17155),
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17156) are inconsistent by sub-proof #150.
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | (17157) all_4_100 = n1 | all_4_100 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17116) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17158) all_4_101 = n1
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17158) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17159) pred(n1) = all_4_79
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17158) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17160) succ(n1) = all_4_75
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17160) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17161) all_4_75 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17159) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17162) all_4_79 = n0
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (17161) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17163) sum(all_4_76, n2) = all_4_74
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17161), (17162) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17164) sum(n0, n2) = all_4_73
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (17162) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17165) sum(n0, all_4_78) = all_4_77
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17164) gives:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17166) all_4_73 = n2
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (17166) imply:
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | | (17167) sum(n2, all_4_72) = all_4_98
% 259.61/65.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17157) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17168) all_4_100 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17168) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17169) pred(n1) = all_4_76
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17168) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17170) succ(n1) = all_4_78
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17170) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17171) all_4_78 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17169) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17172) all_4_76 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17171), (17172) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17173) sum(n0, n2) = all_4_72
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17163), (17172) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17174) sum(n0, n2) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17165), (17171) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17175) sum(n0, n2) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17174) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17176) all_4_74 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17173), (17174) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17177) all_4_72 = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17173), (17175) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17178) all_4_72 = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17177), (17178) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17179) all_4_74 = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17179) implies:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17180) all_4_74 = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17176), (17180) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17181) all_4_77 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17178), (17181) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17182) all_4_72 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17176), (17181) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17183) sum(n2, n2) = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17167), (17182) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17184) sum(n2, n2) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (17184) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17185) all_4_98 = n4
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17183), (17184) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17186) all_4_98 = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17185), (17186) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17187) all_4_99 = n4
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17187) implies:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17188) all_4_99 = n4
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (188), (190), (191),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (231), (232),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17183), (17185),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17188) are inconsistent by sub-proof #150.
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17189) all_4_100 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17189) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17190) pred(n0) = all_4_76
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17189) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17191) succ(n0) = all_4_78
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17191) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17192) all_4_78 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17190) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17193) all_4_76 = n10
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17192), (17193) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17194) sum(n10, n1) = all_4_72
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17163), (17193) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17195) sum(n10, n2) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17165), (17192) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17196) sum(n0, n1) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (17196) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17197) all_4_77 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17194) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17198) all_4_72 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (17195) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17199) all_4_74 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17197), (17199) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17200) sum(n1, n1) = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17167), (17198) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17201) sum(n2, n0) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (17200) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17202) all_4_99 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (17201) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17203) all_4_98 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17200), (17202),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17203) are inconsistent by sub-proof #149.
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17204) all_4_101 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17204) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17205) pred(n0) = all_4_79
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17204) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17206) succ(n0) = all_4_75
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17206) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17207) all_4_75 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17205) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17208) all_4_79 = n10
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (17207) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17209) sum(all_4_76, n1) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17207), (17208) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17210) sum(n10, n1) = all_4_73
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (17208) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17211) sum(n10, all_4_78) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17210) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17212) all_4_73 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (17212) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | (17213) sum(n0, all_4_72) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17157) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17214) all_4_100 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17214) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17215) pred(n1) = all_4_76
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17214) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17216) succ(n1) = all_4_78
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17216) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17217) all_4_78 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17215) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17218) all_4_76 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17217), (17218) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17219) sum(n0, n2) = all_4_72
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17209), (17218) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17220) sum(n0, n1) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17211), (17217) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17221) sum(n10, n2) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n1, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (17220) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17222) all_4_74 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17219) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17223) all_4_72 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n2, n10,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (17221) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17224) all_4_77 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17222), (17224) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17225) sum(n1, n1) = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17213), (17223) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17226) sum(n0, n2) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n2, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17226) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17227) all_4_98 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (17225) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17228) all_4_99 = n2
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (189), (193), (194),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (208), (209), (210), (211),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (225), (226), (228), (231), (232),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (238), (239),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (16192), (17225), (17227),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17228) are inconsistent by sub-proof #149.
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17229) all_4_100 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17229) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17230) pred(n0) = all_4_76
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17229) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17231) succ(n0) = all_4_78
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17231) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17232) all_4_78 = n1
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17230) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17233) all_4_76 = n10
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17232), (17233) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17234) sum(n10, n1) = all_4_72
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17209), (17233) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17235) sum(n10, n1) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17211), (17232) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17236) sum(n10, n1) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n1, n10,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17235) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17237) all_4_74 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (17234), (17235) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17238) all_4_72 = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n1,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (17234), (17236) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17239) all_4_72 = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17238), (17239) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17240) all_4_74 = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17240) implies:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17241) all_4_74 = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17237), (17241) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17242) all_4_77 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17239), (17242) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17243) all_4_72 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17237), (17242) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17244) sum(n0, n0) = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17213), (17243) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17245) sum(n0, n0) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n0, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (17245) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17246) all_4_98 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n0, n0,
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17244), (17245) gives:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17247) all_4_98 = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17246), (17247) imply:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17248) all_4_99 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17248) implies:
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17249) all_4_99 = n0
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (163), (164),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (167), (168), (187), (200), (201),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (208),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (218), (231), (232), (233),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (16192), (17244), (17246), (17249)
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #147.
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | End of split
% 259.61/65.97 | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | Case 2:
% 259.61/65.97 | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | (17250) ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 259.61/65.97 | | | | | | | | | | | | all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 259.61/65.97 | | | | | | | | | | | | (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 259.61/65.97 | | | | | | | | | | | | ~ (all_4_98 = all_4_99)
% 259.61/65.97 | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | BETA: splitting (15500) gives:
% 259.61/65.97 | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | Case 1:
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | (17251) all_4_100 = n7
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | REDUCE: (230), (17251) imply:
% 259.61/65.97 | | | | | | | | | | | | | (17252) pred(n7) = all_4_76
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | REDUCE: (199), (17251) imply:
% 259.61/65.97 | | | | | | | | | | | | | (17253) succ(n7) = all_4_78
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_78, n7,
% 259.61/65.97 | | | | | | | | | | | | | simplifying with (194), (17253) gives:
% 259.61/65.97 | | | | | | | | | | | | | (17254) all_4_78 = n8
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_76, n7,
% 259.61/65.97 | | | | | | | | | | | | | simplifying with (225), (17252) gives:
% 259.61/65.97 | | | | | | | | | | | | | (17255) all_4_76 = n6
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | REDUCE: (131), (17255) imply:
% 259.61/65.97 | | | | | | | | | | | | | (17256) sum(n6, all_4_75) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | REDUCE: (130), (17254), (17255) imply:
% 259.61/65.97 | | | | | | | | | | | | | (17257) sum(n6, n8) = all_4_72
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | REDUCE: (127), (17254) imply:
% 259.61/65.97 | | | | | | | | | | | | | (17258) sum(all_4_79, n8) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_72, n8, n6,
% 259.61/65.97 | | | | | | | | | | | | | simplifying with (80), (17257) gives:
% 259.61/65.97 | | | | | | | | | | | | | (17259) all_4_72 = n3
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | REDUCE: (132), (17259) imply:
% 259.61/65.97 | | | | | | | | | | | | | (17260) sum(all_4_73, n3) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | BETA: splitting (16191) gives:
% 259.61/65.97 | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | Case 1:
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | (17261) all_4_101 = n6
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (229), (17261) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17262) pred(n6) = all_4_79
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (198), (17261) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17263) succ(n6) = all_4_75
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (193), (17263) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17264) all_4_75 = n7
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (224), (17262) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17265) all_4_79 = n5
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (128), (17264), (17265) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17266) sum(n5, n7) = all_4_73
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (17258), (17265) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17267) sum(n5, n8) = all_4_77
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (17256), (17264) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17268) sum(n6, n7) = all_4_74
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (68), (17266) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17269) all_4_73 = n1
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n8, n5,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (69), (17267) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17270) all_4_77 = n2
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n7, n6,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (79), (17268) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17271) all_4_74 = n2
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (17260), (17269) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17272) sum(n1, n3) = all_4_98
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (129), (17270), (17271) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17273) sum(n2, n2) = all_4_99
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n3, n1,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (20), (17272) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17274) all_4_98 = n4
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (30), (17273) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17275) all_4_99 = n4
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (232), (17274) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17276) pred(n4) = all_4_68
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (231), (17275) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17277) pred(n4) = all_4_71
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (201), (17274) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17278) succ(n4) = all_4_70
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (200), (17275) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17279) succ(n4) = all_4_67
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_67, n4,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (191), (17279) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17280) all_4_67 = n5
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n4,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (17278), (17279) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17281) all_4_67 = all_4_70
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_68, n4,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (222), (17276) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17282) all_4_68 = n3
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n4,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (17276), (17277) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17283) all_4_68 = all_4_71
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17280), (17281) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17284) all_4_70 = n5
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | SIMP: (17284) implies:
% 259.61/65.97 | | | | | | | | | | | | | | (17285) all_4_70 = n5
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17282), (17283) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17286) all_4_71 = n3
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (137), (17280), (17282) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17287) sum(n3, n5) = all_4_66
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (136), (17282), (17285) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17288) sum(n3, n5) = all_4_64
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (134), (17280), (17286) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17289) sum(n3, n5) = all_4_65
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (133), (17285), (17286) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17290) sum(n3, n5) = all_4_69
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_65, n5, n3,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (44), (17289) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17291) all_4_65 = n8
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n5, n3,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (17287), (17289) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17292) all_4_65 = all_4_66
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n5, n3,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (17287), (17288) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17293) all_4_64 = all_4_66
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n5, n3,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (17288), (17290) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17294) all_4_64 = all_4_69
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17293), (17294) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17295) all_4_66 = all_4_69
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | SIMP: (17295) implies:
% 259.61/65.97 | | | | | | | | | | | | | | (17296) all_4_66 = all_4_69
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17291), (17292) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17297) all_4_66 = n8
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | SIMP: (17297) implies:
% 259.61/65.97 | | | | | | | | | | | | | | (17298) all_4_66 = n8
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17296), (17298) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17299) all_4_69 = n8
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17294), (17299) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17300) all_4_64 = n8
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (138), (17291), (17300) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17301) sum(n8, n8) = all_4_96
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (135), (17298), (17299) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17302) sum(n8, n8) = all_4_97
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_96, n8, n8,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (102), (17301) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17303) all_4_96 = n5
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n8, n8,
% 259.61/65.97 | | | | | | | | | | | | | | simplifying with (17301), (17302) gives:
% 259.61/65.97 | | | | | | | | | | | | | | (17304) all_4_96 = all_4_97
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | COMBINE_EQS: (17303), (17304) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17305) all_4_97 = n5
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (234), (17303) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17306) pred(n5) = all_4_60
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (233), (17305) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17307) pred(n5) = all_4_63
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (203), (17303) imply:
% 259.61/65.97 | | | | | | | | | | | | | | (17308) succ(n5) = all_4_62
% 259.61/65.97 | | | | | | | | | | | | | |
% 259.61/65.97 | | | | | | | | | | | | | | REDUCE: (202), (17305) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17309) succ(n5) = all_4_59
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_59, n5,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (192), (17309) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17310) all_4_59 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n5,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17308), (17309) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17311) all_4_59 = all_4_62
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_60, n5,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (223), (17306) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17312) all_4_60 = n4
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n5,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17306), (17307) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17313) all_4_60 = all_4_63
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17310), (17311) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17314) all_4_62 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17314) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17315) all_4_62 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17312), (17313) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17316) all_4_63 = n4
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (143), (17310), (17312) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17317) sum(n4, n6) = all_4_58
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (142), (17312), (17315) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17318) sum(n4, n6) = all_4_56
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (140), (17310), (17316) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17319) sum(n4, n6) = all_4_57
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (139), (17315), (17316) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17320) sum(n4, n6) = all_4_61
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_58, n6, n4,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (56), (17317) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17321) all_4_58 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n6, n4,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17317), (17319) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17322) all_4_57 = all_4_58
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n6, n4,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17318), (17319) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17323) all_4_56 = all_4_57
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n6, n4,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17318), (17320) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17324) all_4_56 = all_4_61
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17323), (17324) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17325) all_4_57 = all_4_61
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17325) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17326) all_4_57 = all_4_61
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17322), (17326) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17327) all_4_58 = all_4_61
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17327) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17328) all_4_58 = all_4_61
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17321), (17328) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17329) all_4_61 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17326), (17329) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17330) all_4_57 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17324), (17329) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17331) all_4_56 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (144), (17330), (17331) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17332) sum(n10, n10) = all_4_94
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (141), (17321), (17329) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17333) sum(n10, n10) = all_4_95
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_94, n10, n10,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (126), (17332) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17334) all_4_94 = n9
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n10,
% 259.61/65.98 | | | | | | | | | | | | | | n10, simplifying with (17332), (17333) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17335) all_4_94 = all_4_95
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17334), (17335) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17336) all_4_95 = n9
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (236), (17334) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17337) pred(n9) = all_4_52
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (235), (17336) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17338) pred(n9) = all_4_55
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (205), (17334) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17339) succ(n9) = all_4_54
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (204), (17336) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17340) succ(n9) = all_4_51
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_51, n9,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (196), (17340) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17341) all_4_51 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n9,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17339), (17340) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17342) all_4_51 = all_4_54
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_52, n9,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (227), (17337) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17343) all_4_52 = n8
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n9,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17337), (17338) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17344) all_4_52 = all_4_55
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17341), (17342) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17345) all_4_54 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17345) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17346) all_4_54 = n10
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17343), (17344) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17347) all_4_55 = n8
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (149), (17341), (17343) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17348) sum(n8, n10) = all_4_50
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (148), (17343), (17346) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17349) sum(n8, n10) = all_4_48
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (146), (17341), (17347) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17350) sum(n8, n10) = all_4_49
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (145), (17346), (17347) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17351) sum(n8, n10) = all_4_53
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_50, n10, n8,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (104), (17348) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17352) all_4_50 = n7
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n10,
% 259.61/65.98 | | | | | | | | | | | | | | n8, simplifying with (17348), (17350) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17353) all_4_49 = all_4_50
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n10,
% 259.61/65.98 | | | | | | | | | | | | | | n8, simplifying with (17349), (17350) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17354) all_4_48 = all_4_49
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n10,
% 259.61/65.98 | | | | | | | | | | | | | | n8, simplifying with (17349), (17351) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17355) all_4_48 = all_4_53
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17354), (17355) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17356) all_4_49 = all_4_53
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17356) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17357) all_4_49 = all_4_53
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17353), (17357) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17358) all_4_50 = all_4_53
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17358) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17359) all_4_50 = all_4_53
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17352), (17359) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17360) all_4_53 = n7
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17357), (17360) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17361) all_4_49 = n7
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17355), (17360) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17362) all_4_48 = n7
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (150), (17361), (17362) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17363) sum(n7, n7) = all_4_92
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (147), (17352), (17360) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17364) sum(n7, n7) = all_4_93
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_92, n7, n7,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (90), (17363) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17365) all_4_92 = n3
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n7, n7,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17363), (17364) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17366) all_4_92 = all_4_93
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17365), (17366) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17367) all_4_93 = n3
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17367) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17368) all_4_93 = n3
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (238), (17365) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17369) pred(n3) = all_4_44
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (237), (17368) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17370) pred(n3) = all_4_47
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (207), (17365) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17371) succ(n3) = all_4_46
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (206), (17368) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17372) succ(n3) = all_4_43
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_43, n3,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (190), (17372) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17373) all_4_43 = n4
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_46, all_4_43, n3,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17371), (17372) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17374) all_4_43 = all_4_46
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_44, n3,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (221), (17369) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17375) all_4_44 = n2
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44, n3,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17369), (17370) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17376) all_4_44 = all_4_47
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17373), (17374) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17377) all_4_46 = n4
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17377) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17378) all_4_46 = n4
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17375), (17376) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17379) all_4_47 = n2
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (155), (17373), (17375) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17380) sum(n2, n4) = all_4_42
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (154), (17375), (17378) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17381) sum(n2, n4) = all_4_40
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (152), (17373), (17379) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17382) sum(n2, n4) = all_4_41
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (151), (17378), (17379) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17383) sum(n2, n4) = all_4_45
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_42, n4, n2,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (32), (17380) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17384) all_4_42 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_41, n4, n2,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17380), (17382) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17385) all_4_41 = all_4_42
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40, n4, n2,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17381), (17382) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17386) all_4_40 = all_4_41
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_40, n4, n2,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17381), (17383) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17387) all_4_40 = all_4_45
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17386), (17387) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17388) all_4_41 = all_4_45
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17388) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17389) all_4_41 = all_4_45
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17385), (17389) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17390) all_4_42 = all_4_45
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | SIMP: (17390) implies:
% 259.61/65.98 | | | | | | | | | | | | | | (17391) all_4_42 = all_4_45
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17384), (17391) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17392) all_4_45 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17389), (17392) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17393) all_4_41 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17387), (17392) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17394) all_4_40 = n6
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (156), (17393), (17394) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17395) sum(n6, n6) = all_4_90
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (153), (17384), (17392) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17396) sum(n6, n6) = all_4_91
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_90, n6, n6,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (78), (17395) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17397) all_4_90 = n1
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_91, all_4_90, n6, n6,
% 259.61/65.98 | | | | | | | | | | | | | | simplifying with (17395), (17396) gives:
% 259.61/65.98 | | | | | | | | | | | | | | (17398) all_4_90 = all_4_91
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | COMBINE_EQS: (17397), (17398) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17399) all_4_91 = n1
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (240), (17397) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17400) pred(n1) = all_4_36
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (239), (17399) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17401) pred(n1) = all_4_39
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (209), (17397) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17402) succ(n1) = all_4_38
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | REDUCE: (208), (17399) imply:
% 259.61/65.98 | | | | | | | | | | | | | | (17403) succ(n1) = all_4_35
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | BETA: splitting (17250) gives:
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | Case 1:
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | (17404) ~ (all_4_88 = all_4_89)
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_35, n1,
% 259.61/65.98 | | | | | | | | | | | | | | | simplifying with (188), (17403) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | (17405) all_4_35 = n2
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (157), (158), (159),
% 259.61/65.98 | | | | | | | | | | | | | | | (160), (161), (162), (219), (17400), (17401),
% 259.61/65.98 | | | | | | | | | | | | | | | (17402), (17403), (17404), (17405) are
% 259.61/65.98 | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | Case 2:
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | (17406) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.61/65.98 | | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.61/65.98 | | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 259.61/65.98 | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 259.61/65.98 | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.61/65.98 | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 259.61/65.98 | | | | | | | | | | | | | | | (196), (222), (223), (227), (17274), (17275),
% 259.61/65.98 | | | | | | | | | | | | | | | (17276), (17277), (17278), (17279), (17306),
% 259.61/65.98 | | | | | | | | | | | | | | | (17307), (17308), (17309), (17337), (17338),
% 259.61/65.98 | | | | | | | | | | | | | | | (17339), (17340), (17397), (17399), (17406) are
% 259.61/65.98 | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | End of split
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | Case 2:
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | (17407) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.61/65.98 | | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | BETA: splitting (17250) gives:
% 259.61/65.98 | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | Case 1:
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | (17408) ~ (all_4_88 = all_4_89)
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | BETA: splitting (17407) gives:
% 259.61/65.98 | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | Case 1:
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | (17409) all_4_101 = n5
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (229), (17409) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17410) pred(n5) = all_4_79
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (198), (17409) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17411) succ(n5) = all_4_75
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (192), (17411) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17412) all_4_75 = n6
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (223), (17410) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17413) all_4_79 = n4
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (128), (17412), (17413) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17414) sum(n4, n6) = all_4_73
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (17258), (17413) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17415) sum(n4, n8) = all_4_77
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (17256), (17412) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17416) sum(n6, n6) = all_4_74
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (56), (17414) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17417) all_4_73 = n10
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n8, n4,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (58), (17415) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17418) all_4_77 = n1
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n6, n6,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (78), (17416) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17419) all_4_74 = n1
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (17260), (17417) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17420) sum(n10, n3) = all_4_98
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REDUCE: (129), (17418), (17419) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17421) sum(n1, n1) = all_4_99
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (18), (17421) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17422) all_4_99 = n2
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n3, n10,
% 259.61/65.98 | | | | | | | | | | | | | | | | simplifying with (119), (17420) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | (17423) all_4_98 = n2
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.61/65.98 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.61/65.98 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.61/65.98 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.61/65.98 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.61/65.98 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.61/65.98 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.61/65.98 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.61/65.98 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.61/65.98 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.61/65.98 | | | | | | | | | | | | | | | | (17408), (17421), (17422), (17423) are
% 259.61/65.98 | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | Case 2:
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | (17424) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.61/65.98 | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | BETA: splitting (17424) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | Case 1:
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17425) all_4_101 = n4
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (229), (17425) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17426) pred(n4) = all_4_79
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (198), (17425) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17427) succ(n4) = all_4_75
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (191), (17427) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17428) all_4_75 = n5
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (222), (17426) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17429) all_4_79 = n3
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (128), (17428), (17429) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17430) sum(n3, n5) = all_4_73
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (17258), (17429) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17431) sum(n3, n8) = all_4_77
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (17256), (17428) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17432) sum(n6, n5) = all_4_74
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (44), (17430) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17433) all_4_73 = n8
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (47), (17431) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17434) all_4_77 = n0
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (77), (17432) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17435) all_4_74 = n0
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (17260), (17433) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17436) sum(n8, n3) = all_4_98
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | REDUCE: (129), (17434), (17435) imply:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17437) sum(n0, n0) = all_4_99
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (6), (17437) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17438) all_4_99 = n0
% 259.61/65.98 | | | | | | | | | | | | | | | | |
% 259.61/65.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 259.61/65.98 | | | | | | | | | | | | | | | | | simplifying with (97), (17436) gives:
% 259.61/65.98 | | | | | | | | | | | | | | | | | (17439) all_4_98 = n0
% 259.88/65.98 | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (17408),
% 259.88/65.98 | | | | | | | | | | | | | | | | | (17437), (17438), (17439) are inconsistent by
% 259.88/65.98 | | | | | | | | | | | | | | | | | sub-proof #131.
% 259.88/65.98 | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | Case 2:
% 259.88/65.98 | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | (17440) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.88/65.98 | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.88/65.98 | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | BETA: splitting (17440) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | Case 1:
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17441) all_4_101 = n3
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (229), (17441) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17442) pred(n3) = all_4_79
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (198), (17441) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17443) succ(n3) = all_4_75
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (190), (17443) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17444) all_4_75 = n4
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (221), (17442) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17445) all_4_79 = n2
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (128), (17444), (17445) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17446) sum(n2, n4) = all_4_73
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17445) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17447) sum(n2, n8) = all_4_77
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17444) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17448) sum(n6, n4) = all_4_74
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (32), (17446) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17449) all_4_73 = n6
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (36), (17447) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17450) all_4_77 = n10
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (76), (17448) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17451) all_4_74 = n10
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17449) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17452) sum(n6, n3) = all_4_98
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REDUCE: (129), (17450), (17451) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17453) sum(n10, n10) = all_4_99
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (75), (17452) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17454) all_4_98 = n9
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | simplifying with (126), (17453) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17455) all_4_99 = n9
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17408), (17453), (17454), (17455) are
% 259.88/65.98 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | Case 2:
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | (17456) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | BETA: splitting (17456) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | Case 1:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | (17457) all_4_101 = n2
% 259.88/65.98 | | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17457) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | (17458) pred(n2) = all_4_79
% 259.88/65.98 | | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17457) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | (17459) succ(n2) = all_4_75
% 259.88/65.98 | | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | simplifying with (189), (17459) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | (17460) all_4_75 = n3
% 259.88/65.98 | | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | simplifying with (220), (17458) gives:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | (17461) all_4_79 = n1
% 259.88/65.98 | | | | | | | | | | | | | | | | | | |
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17460), (17461) imply:
% 259.88/65.98 | | | | | | | | | | | | | | | | | | | (17462) sum(n1, n3) = all_4_73
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17461) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17463) sum(n1, n8) = all_4_77
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17460) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17464) sum(n6, n3) = all_4_74
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | simplifying with (20), (17462) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17465) all_4_73 = n4
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n8, n1,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | simplifying with (25), (17463) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17466) all_4_77 = n9
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n3, n6,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | simplifying with (75), (17464) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17467) all_4_74 = n9
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17465) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17468) sum(n4, n3) = all_4_98
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17466), (17467) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17469) sum(n9, n9) = all_4_99
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n3, n4,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | simplifying with (53), (17468) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17470) all_4_98 = n7
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | simplifying with (114), (17469) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17471) all_4_99 = n7
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17250), (17469), (17470), (17471) are
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | Case 2:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | (17472) all_4_101 = n1 | all_4_101 = n0
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (17472) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17473) all_4_101 = n1
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17473) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17474) pred(n1) = all_4_79
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17473) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17475) succ(n1) = all_4_75
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17475) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17476) all_4_75 = n2
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17474) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17477) all_4_79 = n0
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17476), (17477) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17478) sum(n0, n2) = all_4_73
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17477) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17479) sum(n0, n8) = all_4_77
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17476) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17480) sum(n6, n2) = all_4_74
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17478) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17481) all_4_73 = n2
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n8, n0,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (14), (17479) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17482) all_4_77 = n8
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n2, n6,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (74), (17480) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17483) all_4_74 = n8
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17481) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17484) sum(n2, n3) = all_4_98
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17482), (17483) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17485) sum(n8, n8) = all_4_99
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n3, n2,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (31), (17484) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17486) all_4_98 = n5
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (102), (17485) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17487) all_4_99 = n5
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17250), (17485), (17486), (17487) are
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17488) all_4_101 = n0
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17488) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17489) pred(n0) = all_4_79
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17488) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17490) succ(n0) = all_4_75
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17490) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17491) all_4_75 = n1
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17489) gives:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17492) all_4_79 = n10
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17491), (17492) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17493) sum(n10, n1) = all_4_73
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17492) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17494) sum(n10, n8) = all_4_77
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17491) imply:
% 259.88/65.99 | | | | | | | | | | | | | | | | | | | | (17495) sum(n6, n1) = all_4_74
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n1, n6,
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (73), (17495) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17496) all_4_74 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17493) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17497) all_4_73 = n0
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n8, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (124), (17494) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17498) all_4_77 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17497) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17499) sum(n0, n3) = all_4_98
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17496), (17498) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17500) sum(n7, n7) = all_4_99
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n3, n0,
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (9), (17499) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17501) all_4_98 = n3
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (17500) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17502) all_4_99 = n3
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | (17250), (17500), (17501), (17502) are
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | | End of split
% 259.90/65.99 | | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | | End of split
% 259.90/65.99 | | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | End of split
% 259.90/65.99 | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | End of split
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | End of split
% 259.90/65.99 | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | Case 2:
% 259.90/65.99 | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | (17503) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.90/65.99 | | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.90/65.99 | | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.90/65.99 | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | BETA: splitting (17407) gives:
% 259.90/65.99 | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | Case 1:
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | (17504) all_4_101 = n5
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (229), (17504) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17505) pred(n5) = all_4_79
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (198), (17504) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17506) succ(n5) = all_4_75
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (192), (17506) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17507) all_4_75 = n6
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (223), (17505) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17508) all_4_79 = n4
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (128), (17507), (17508) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17509) sum(n4, n6) = all_4_73
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (17258), (17508) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17510) sum(n4, n8) = all_4_77
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (17256), (17507) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17511) sum(n6, n6) = all_4_74
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (56), (17509) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17512) all_4_73 = n10
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n8, n4,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (58), (17510) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17513) all_4_77 = n1
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n6, n6,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (78), (17511) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17514) all_4_74 = n1
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (17260), (17512) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17515) sum(n10, n3) = all_4_98
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (129), (17513), (17514) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17516) sum(n1, n1) = all_4_99
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (18), (17516) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17517) all_4_99 = n2
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n3, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (119), (17515) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17518) all_4_98 = n2
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (232), (17518) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17519) pred(n2) = all_4_68
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (231), (17517) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17520) pred(n2) = all_4_71
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (201), (17518) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17521) succ(n2) = all_4_70
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (200), (17517) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17522) succ(n2) = all_4_67
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (189), (17522) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17523) all_4_67 = n3
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17521), (17522) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17524) all_4_67 = all_4_70
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (220), (17519) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17525) all_4_68 = n1
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17519), (17520) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17526) all_4_68 = all_4_71
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17523), (17524) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17527) all_4_70 = n3
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17527) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17528) all_4_70 = n3
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17525), (17526) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17529) all_4_71 = n1
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (137), (17523), (17525) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17530) sum(n1, n3) = all_4_66
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (136), (17525), (17528) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17531) sum(n1, n3) = all_4_64
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (134), (17523), (17529) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17532) sum(n1, n3) = all_4_65
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (133), (17528), (17529) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17533) sum(n1, n3) = all_4_69
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (20), (17532) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17534) all_4_65 = n4
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17530), (17532) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17535) all_4_65 = all_4_66
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17530), (17531) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17536) all_4_64 = all_4_66
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17531), (17533) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17537) all_4_64 = all_4_69
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17536), (17537) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17538) all_4_66 = all_4_69
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17538) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17539) all_4_66 = all_4_69
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17534), (17535) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17540) all_4_66 = n4
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17540) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17541) all_4_66 = n4
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17539), (17541) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17542) all_4_69 = n4
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17537), (17542) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17543) all_4_64 = n4
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (138), (17534), (17543) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17544) sum(n4, n4) = all_4_96
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (135), (17541), (17542) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17545) sum(n4, n4) = all_4_97
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (54), (17544) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17546) all_4_96 = n8
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17544), (17545) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17547) all_4_96 = all_4_97
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17546), (17547) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17548) all_4_97 = n8
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (234), (17546) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17549) pred(n8) = all_4_60
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (233), (17548) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17550) pred(n8) = all_4_63
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (203), (17546) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17551) succ(n8) = all_4_62
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (202), (17548) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17552) succ(n8) = all_4_59
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_59, n8,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (195), (17552) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17553) all_4_59 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n8,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17551), (17552) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17554) all_4_59 = all_4_62
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_60, n8,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (226), (17549) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17555) all_4_60 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n8,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17549), (17550) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17556) all_4_60 = all_4_63
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17553), (17554) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17557) all_4_62 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17557) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17558) all_4_62 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17555), (17556) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17559) all_4_63 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (143), (17553), (17555) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17560) sum(n7, n9) = all_4_58
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (142), (17555), (17558) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17561) sum(n7, n9) = all_4_56
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (140), (17553), (17559) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17562) sum(n7, n9) = all_4_57
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (139), (17558), (17559) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17563) sum(n7, n9) = all_4_61
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_58, n9, n7,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (92), (17560) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17564) all_4_58 = n5
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n9, n7,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17560), (17562) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17565) all_4_57 = all_4_58
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n9, n7,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17561), (17562) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17566) all_4_56 = all_4_57
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n9, n7,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17561), (17563) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17567) all_4_56 = all_4_61
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17566), (17567) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17568) all_4_57 = all_4_61
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17568) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17569) all_4_57 = all_4_61
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17565), (17569) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17570) all_4_58 = all_4_61
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17570) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17571) all_4_58 = all_4_61
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17564), (17571) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17572) all_4_61 = n5
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17569), (17572) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17573) all_4_57 = n5
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17567), (17572) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17574) all_4_56 = n5
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (144), (17573), (17574) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17575) sum(n5, n5) = all_4_94
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (141), (17564), (17572) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17576) sum(n5, n5) = all_4_95
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_94, n5, n5,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (66), (17575) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17577) all_4_94 = n10
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n5, n5,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17575), (17576) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17578) all_4_94 = all_4_95
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17577), (17578) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17579) all_4_95 = n10
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (236), (17577) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17580) pred(n10) = all_4_52
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (235), (17579) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17581) pred(n10) = all_4_55
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (205), (17577) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17582) succ(n10) = all_4_54
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (204), (17579) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17583) succ(n10) = all_4_51
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_51, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (197), (17583) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17584) all_4_51 = n0
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17582), (17583) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17585) all_4_51 = all_4_54
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_52, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (228), (17580) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17586) all_4_52 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n10,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17580), (17581) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17587) all_4_52 = all_4_55
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17584), (17585) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17588) all_4_54 = n0
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17588) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17589) all_4_54 = n0
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17586), (17587) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17590) all_4_55 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (149), (17584), (17586) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17591) sum(n9, n0) = all_4_50
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (148), (17586), (17589) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17592) sum(n9, n0) = all_4_48
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (146), (17584), (17590) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17593) sum(n9, n0) = all_4_49
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (145), (17589), (17590) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17594) sum(n9, n0) = all_4_53
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_50, n0, n9,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (105), (17591) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17595) all_4_50 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n0, n9,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17591), (17593) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17596) all_4_49 = all_4_50
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n0, n9,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17592), (17593) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17597) all_4_48 = all_4_49
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n0, n9,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17592), (17594) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17598) all_4_48 = all_4_53
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17597), (17598) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17599) all_4_49 = all_4_53
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17599) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17600) all_4_49 = all_4_53
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17596), (17600) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17601) all_4_50 = all_4_53
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17601) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17602) all_4_50 = all_4_53
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17595), (17602) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17603) all_4_53 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17600), (17603) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17604) all_4_49 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17598), (17603) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17605) all_4_48 = n9
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (150), (17604), (17605) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17606) sum(n9, n9) = all_4_92
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (147), (17595), (17603) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17607) sum(n9, n9) = all_4_93
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_92, n9, n9,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (114), (17606) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17608) all_4_92 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n9, n9,
% 259.90/65.99 | | | | | | | | | | | | | | | | simplifying with (17606), (17607) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17609) all_4_92 = all_4_93
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (17608), (17609) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17610) all_4_93 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | SIMP: (17610) implies:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17611) all_4_93 = n7
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (238), (17608) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17612) pred(n7) = all_4_44
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (237), (17611) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17613) pred(n7) = all_4_47
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (207), (17608) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17614) succ(n7) = all_4_46
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | REDUCE: (206), (17611) imply:
% 259.90/65.99 | | | | | | | | | | | | | | | | (17615) succ(n7) = all_4_43
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | BETA: splitting (17503) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | Case 1:
% 259.90/65.99 | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | (17616) ~ (all_4_90 = all_4_91)
% 259.90/65.99 | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_43, n7,
% 259.90/65.99 | | | | | | | | | | | | | | | | | simplifying with (194), (17615) gives:
% 259.90/65.99 | | | | | | | | | | | | | | | | | (17617) all_4_43 = n8
% 259.90/65.99 | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (151), (152), (153),
% 259.90/65.99 | | | | | | | | | | | | | | | | | (154), (155), (156), (225), (17612), (17613),
% 259.90/65.99 | | | | | | | | | | | | | | | | | (17614), (17615), (17616), (17617) are
% 259.90/65.99 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 259.90/65.99 | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | Case 2:
% 259.90/65.99 | | | | | | | | | | | | | | | | |
% 259.90/65.99 | | | | | | | | | | | | | | | | | (17618) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.90/66.00 | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.90/66.00 | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 259.90/66.00 | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 259.90/66.00 | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (220),
% 259.90/66.00 | | | | | | | | | | | | | | | | | (226), (17517), (17518), (17519), (17520),
% 259.90/66.00 | | | | | | | | | | | | | | | | | (17521), (17522), (17549), (17550), (17551),
% 259.90/66.00 | | | | | | | | | | | | | | | | | (17552), (17608), (17611), (17618) are
% 259.90/66.00 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | End of split
% 259.90/66.00 | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | Case 2:
% 259.90/66.00 | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | (17619) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.90/66.00 | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | BETA: splitting (17503) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | Case 1:
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | (17620) ~ (all_4_90 = all_4_91)
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | BETA: splitting (17619) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | Case 1:
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17621) all_4_101 = n4
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (229), (17621) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17622) pred(n4) = all_4_79
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (198), (17621) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17623) succ(n4) = all_4_75
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (191), (17623) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17624) all_4_75 = n5
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (222), (17622) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17625) all_4_79 = n3
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (128), (17624), (17625) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17626) sum(n3, n5) = all_4_73
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17625) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17627) sum(n3, n8) = all_4_77
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17624) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17628) sum(n6, n5) = all_4_74
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (44), (17626) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17629) all_4_73 = n8
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (47), (17627) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17630) all_4_77 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (77), (17628) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17631) all_4_74 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17629) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17632) sum(n8, n3) = all_4_98
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (129), (17630), (17631) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17633) sum(n0, n0) = all_4_99
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (6), (17633) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17634) all_4_99 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (97), (17632) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17635) all_4_98 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (236), (237), (238), (17620), (17633), (17634),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17635) are inconsistent by sub-proof #59.
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | Case 2:
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17636) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | BETA: splitting (17636) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | Case 1:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17637) all_4_101 = n3
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17637) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17638) pred(n3) = all_4_79
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17637) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17639) succ(n3) = all_4_75
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (190), (17639) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17640) all_4_75 = n4
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (221), (17638) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17641) all_4_79 = n2
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17640), (17641) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17642) sum(n2, n4) = all_4_73
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17641) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17643) sum(n2, n8) = all_4_77
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17640) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17644) sum(n6, n4) = all_4_74
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (32), (17642) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17645) all_4_73 = n6
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (36), (17643) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17646) all_4_77 = n10
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (76), (17644) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17647) all_4_74 = n10
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17645) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17648) sum(n6, n3) = all_4_98
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17646), (17647) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17649) sum(n10, n10) = all_4_99
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (75), (17648) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17650) all_4_98 = n9
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | simplifying with (126), (17649) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17651) all_4_99 = n9
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (238), (17620), (17650), (17651) are inconsistent
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | Case 2:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (17652) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (9), (14), (18), (20), (25),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (30), (31), (32), (42), (44), (53), (54), (56),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (92), (102), (104), (114), (117), (124), (126),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (128), (129), (133), (134), (135), (136), (137),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (187), (188),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (196), (198), (200), (201), (202), (203), (204),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (218), (219), (220), (221),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (229),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | (238), (17256), (17258), (17260), (17503), (17652)
% 259.90/66.00 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #30.
% 259.90/66.00 | | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | End of split
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | End of split
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | Case 2:
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | (17653) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.90/66.00 | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.90/66.00 | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | BETA: splitting (17619) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | Case 1:
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17654) all_4_101 = n4
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (229), (17654) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17655) pred(n4) = all_4_79
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (198), (17654) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17656) succ(n4) = all_4_75
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (191), (17656) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17657) all_4_75 = n5
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (222), (17655) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17658) all_4_79 = n3
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (128), (17657), (17658) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17659) sum(n3, n5) = all_4_73
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17658) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17660) sum(n3, n8) = all_4_77
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17657) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17661) sum(n6, n5) = all_4_74
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (44), (17659) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17662) all_4_73 = n8
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n8, n3,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (47), (17660) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17663) all_4_77 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n5, n6,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (77), (17661) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17664) all_4_74 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17662) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17665) sum(n8, n3) = all_4_98
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (129), (17663), (17664) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17666) sum(n0, n0) = all_4_99
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (6), (17666) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17667) all_4_99 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n3, n8,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (97), (17665) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17668) all_4_98 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (232), (17668) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17669) pred(n0) = all_4_68
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (231), (17667) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17670) pred(n0) = all_4_71
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (201), (17668) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17671) succ(n0) = all_4_70
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (200), (17667) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17672) succ(n0) = all_4_67
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_67, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (187), (17672) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17673) all_4_67 = n1
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (17671), (17672) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17674) all_4_67 = all_4_70
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_68, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (218), (17669) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17675) all_4_68 = n10
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (17669), (17670) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17676) all_4_68 = all_4_71
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17673), (17674) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17677) all_4_70 = n1
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | SIMP: (17677) implies:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17678) all_4_70 = n1
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17675), (17676) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17679) all_4_71 = n10
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (137), (17673), (17675) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17680) sum(n10, n1) = all_4_66
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (136), (17675), (17678) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17681) sum(n10, n1) = all_4_64
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (134), (17673), (17679) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17682) sum(n10, n1) = all_4_65
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (133), (17678), (17679) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17683) sum(n10, n1) = all_4_69
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_65, n1, n10,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (117), (17682) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17684) all_4_65 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n1,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | n10, simplifying with (17680), (17682) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17685) all_4_65 = all_4_66
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n1,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | n10, simplifying with (17680), (17681) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17686) all_4_64 = all_4_66
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n1,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | n10, simplifying with (17681), (17683) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17687) all_4_64 = all_4_69
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17686), (17687) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17688) all_4_66 = all_4_69
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | SIMP: (17688) implies:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17689) all_4_66 = all_4_69
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17684), (17685) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17690) all_4_66 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | SIMP: (17690) implies:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17691) all_4_66 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17689), (17691) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17692) all_4_69 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17687), (17692) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17693) all_4_64 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (138), (17684), (17693) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17694) sum(n0, n0) = all_4_96
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (135), (17691), (17692) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17695) sum(n0, n0) = all_4_97
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_96, n0, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (6), (17694) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17696) all_4_96 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n0, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (17694), (17695) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17697) all_4_96 = all_4_97
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17696), (17697) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17698) all_4_97 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (234), (17696) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17699) pred(n0) = all_4_60
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (233), (17698) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17700) pred(n0) = all_4_63
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (203), (17696) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17701) succ(n0) = all_4_62
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (202), (17698) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17702) succ(n0) = all_4_59
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_59, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (187), (17702) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17703) all_4_59 = n1
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (17701), (17702) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17704) all_4_59 = all_4_62
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_60, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (218), (17699) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17705) all_4_60 = n10
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n0,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (17699), (17700) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17706) all_4_60 = all_4_63
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17703), (17704) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17707) all_4_62 = n1
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | SIMP: (17707) implies:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17708) all_4_62 = n1
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17705), (17706) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17709) all_4_63 = n10
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (143), (17703), (17705) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17710) sum(n10, n1) = all_4_58
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (142), (17705), (17708) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17711) sum(n10, n1) = all_4_56
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (140), (17703), (17709) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17712) sum(n10, n1) = all_4_57
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | REDUCE: (139), (17708), (17709) imply:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17713) sum(n10, n1) = all_4_61
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.90/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_58, n1, n10,
% 259.90/66.00 | | | | | | | | | | | | | | | | | | simplifying with (117), (17710) gives:
% 259.90/66.00 | | | | | | | | | | | | | | | | | | (17714) all_4_58 = n0
% 259.90/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n1,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | n10, simplifying with (17710), (17712) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17715) all_4_57 = all_4_58
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n1,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | n10, simplifying with (17711), (17712) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17716) all_4_56 = all_4_57
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n1,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | n10, simplifying with (17711), (17713) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17717) all_4_56 = all_4_61
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17716), (17717) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17718) all_4_57 = all_4_61
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | SIMP: (17718) implies:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17719) all_4_57 = all_4_61
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17715), (17719) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17720) all_4_58 = all_4_61
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | SIMP: (17720) implies:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17721) all_4_58 = all_4_61
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17714), (17721) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17722) all_4_61 = n0
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17719), (17722) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17723) all_4_57 = n0
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (133), (134), (135), (136),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (137), (138), (141), (144), (145), (146), (147),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (148), (149), (150), (187), (204), (205), (218),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (235), (236), (17653), (17667), (17668), (17669),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17670), (17671), (17672), (17713), (17714),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17717), (17722), (17723) are inconsistent by
% 259.93/66.00 | | | | | | | | | | | | | | | | | | sub-proof #39.
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | (17724) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | BETA: splitting (17653) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | (17725) ~ (all_4_92 = all_4_93)
% 259.93/66.00 | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (17724) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17726) all_4_101 = n3
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17726) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17727) pred(n3) = all_4_79
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17726) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17728) succ(n3) = all_4_75
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (17728) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17729) all_4_75 = n4
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (17727) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17730) all_4_79 = n2
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17729), (17730) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17731) sum(n2, n4) = all_4_73
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17730) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17732) sum(n2, n8) = all_4_77
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17729) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17733) sum(n6, n4) = all_4_74
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (17731) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17734) all_4_73 = n6
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | simplifying with (36), (17732) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17735) all_4_77 = n10
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | simplifying with (76), (17733) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17736) all_4_74 = n10
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17734) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17737) sum(n6, n3) = all_4_98
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17735), (17736) imply:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17738) sum(n10, n10) = all_4_99
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | simplifying with (75), (17737) gives:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17739) all_4_98 = n9
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (235), (236), (17725), (17738), (17739) are
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #50.
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (17740) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (9), (14), (18), (20), (25),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (30), (31), (32), (42), (44), (53), (54), (56),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (92), (102), (104), (114), (117), (124), (126),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (128), (129), (133), (134), (135), (136), (137),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (187), (188),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (196), (198), (200), (201), (202), (203), (204),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (218), (219), (220), (221),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (229),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | (238), (17256), (17258), (17260), (17503), (17740)
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #30.
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | | End of split
% 259.93/66.00 | | | | | | | | | | | | | | | | | | |
% 259.93/66.00 | | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.00 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17741) all_4_92 = all_4_93
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17742) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (238), (17741) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17743) pred(all_4_93) = all_4_44
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (207), (17741) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17744) succ(all_4_93) = all_4_46
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_43, all_4_46,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | all_4_93, simplifying with (206), (17744) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17745) all_4_43 = all_4_46
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_47, all_4_44,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | all_4_93, simplifying with (237), (17743) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17746) all_4_44 = all_4_47
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (155), (17745), (17746) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17747) sum(all_4_47, all_4_46) = all_4_42
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (154), (17746) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17748) sum(all_4_47, all_4_46) = all_4_40
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (152), (17745) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17749) sum(all_4_47, all_4_46) = all_4_41
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_45, all_4_41,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (151),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17749) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17750) all_4_41 = all_4_45
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_41, all_4_40,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (17748),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17749) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17751) all_4_40 = all_4_41
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_42, all_4_40,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | all_4_46, all_4_47, simplifying with (17747),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17748) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17752) all_4_40 = all_4_42
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17751), (17752) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17753) all_4_41 = all_4_42
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | SIMP: (17753) implies:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17754) all_4_41 = all_4_42
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17750), (17754) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17755) all_4_42 = all_4_45
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (17724) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17756) all_4_101 = n3
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (17756) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17757) pred(n3) = all_4_79
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (17756) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17758) succ(n3) = all_4_75
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (17758) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17759) all_4_75 = n4
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (17757) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17760) all_4_79 = n2
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17759), (17760) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17761) sum(n2, n4) = all_4_73
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17760) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17762) sum(n2, n8) = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (17256), (17759) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17763) sum(n6, n4) = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (17761) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17764) all_4_73 = n6
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n8, n2,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (36), (17762) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17765) all_4_77 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n4, n6,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (76), (17763) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17766) all_4_74 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17764) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17767) sum(n6, n3) = all_4_98
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17765), (17766) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17768) sum(n10, n10) = all_4_99
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n3, n6,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (75), (17767) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17769) all_4_98 = n9
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (126), (17768) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17770) all_4_99 = n9
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (17769) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17771) pred(n9) = all_4_68
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (17770) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17772) pred(n9) = all_4_71
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (17769) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17773) succ(n9) = all_4_70
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (17770) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17774) succ(n9) = all_4_67
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_67, n9,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (196), (17774) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17775) all_4_67 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n9,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (17773), (17774) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17776) all_4_67 = all_4_70
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_68, n9,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (227), (17771) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17777) all_4_68 = n8
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n9,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (17771), (17772) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17778) all_4_68 = all_4_71
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17775), (17776) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17779) all_4_70 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | SIMP: (17779) implies:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17780) all_4_70 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17777), (17778) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17781) all_4_71 = n8
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (17775), (17777) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17782) sum(n8, n10) = all_4_66
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (17777), (17780) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17783) sum(n8, n10) = all_4_64
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (17775), (17781) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17784) sum(n8, n10) = all_4_65
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (17780), (17781) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17785) sum(n8, n10) = all_4_69
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_65, n10, n8,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (104), (17784) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17786) all_4_65 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n10,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | n8, simplifying with (17782), (17784) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17787) all_4_65 = all_4_66
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n10,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | n8, simplifying with (17782), (17783) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17788) all_4_64 = all_4_66
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n10,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | n8, simplifying with (17783), (17785) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17789) all_4_64 = all_4_69
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17788), (17789) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17790) all_4_66 = all_4_69
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | SIMP: (17790) implies:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17791) all_4_66 = all_4_69
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17786), (17787) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17792) all_4_66 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | SIMP: (17792) implies:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17793) all_4_66 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17791), (17793) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17794) all_4_69 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17789), (17794) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17795) all_4_64 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (17786), (17795) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17796) sum(n7, n7) = all_4_96
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17793), (17794) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17797) sum(n7, n7) = all_4_97
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_96, n7, n7,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (17796) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17798) all_4_96 = n3
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n7, n7,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | simplifying with (17796), (17797) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17799) all_4_96 = all_4_97
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17798), (17799) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17800) all_4_97 = n3
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (139), (140), (141),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (190), (202), (203), (221),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (233), (234), (17742), (17769), (17770), (17798),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17800) are inconsistent by sub-proof #45.
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (17801) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (9), (14), (18), (20), (25),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (30), (31), (32), (42), (44), (53), (54), (56),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (66), (68), (73), (74), (75), (78), (80), (90),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (92), (102), (104), (114), (117), (124), (126),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (128), (129), (133), (134), (135), (136), (137),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (187), (188),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (194), (195),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (196), (198), (200), (201), (202), (203), (204),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (218), (219), (220), (221),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (229),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | (238), (17256), (17258), (17260), (17503), (17801)
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #30.
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | End of split
% 259.93/66.01 | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | Case 2:
% 259.93/66.01 | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | (17802) all_4_100 = n6 | all_4_100 = n5 | all_4_100 = n4 |
% 259.93/66.01 | | | | | | | | | | | | | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.93/66.01 | | | | | | | | | | | | | all_4_100 = n0
% 259.93/66.01 | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | BETA: splitting (16191) gives:
% 259.93/66.01 | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | (17803) all_4_101 = n6
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | REDUCE: (229), (17803) imply:
% 259.93/66.01 | | | | | | | | | | | | | | (17804) pred(n6) = all_4_79
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | REDUCE: (198), (17803) imply:
% 259.93/66.01 | | | | | | | | | | | | | | (17805) succ(n6) = all_4_75
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_75, n6,
% 259.93/66.01 | | | | | | | | | | | | | | simplifying with (193), (17805) gives:
% 259.93/66.01 | | | | | | | | | | | | | | (17806) all_4_75 = n7
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_79, n6,
% 259.93/66.01 | | | | | | | | | | | | | | simplifying with (224), (17804) gives:
% 259.93/66.01 | | | | | | | | | | | | | | (17807) all_4_79 = n5
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | REDUCE: (131), (17806) imply:
% 259.93/66.01 | | | | | | | | | | | | | | (17808) sum(all_4_76, n7) = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | REDUCE: (128), (17806), (17807) imply:
% 259.93/66.01 | | | | | | | | | | | | | | (17809) sum(n5, n7) = all_4_73
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | REDUCE: (127), (17807) imply:
% 259.93/66.01 | | | | | | | | | | | | | | (17810) sum(n5, all_4_78) = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_73, n7, n5,
% 259.93/66.01 | | | | | | | | | | | | | | simplifying with (68), (17809) gives:
% 259.93/66.01 | | | | | | | | | | | | | | (17811) all_4_73 = n1
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | REDUCE: (132), (17811) imply:
% 259.93/66.01 | | | | | | | | | | | | | | (17812) sum(n1, all_4_72) = all_4_98
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | BETA: splitting (17250) gives:
% 259.93/66.01 | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | (17813) ~ (all_4_88 = all_4_89)
% 259.93/66.01 | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | BETA: splitting (17802) gives:
% 259.93/66.01 | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | (17814) all_4_100 = n6
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (230), (17814) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17815) pred(n6) = all_4_76
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (199), (17814) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17816) succ(n6) = all_4_78
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (193), (17816) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17817) all_4_78 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (224), (17815) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17818) all_4_76 = n5
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (130), (17817), (17818) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17819) sum(n5, n7) = all_4_72
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (17808), (17818) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17820) sum(n5, n7) = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (17810), (17817) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17821) sum(n5, n7) = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n7, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (68), (17820) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17822) all_4_74 = n1
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n7, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (17819), (17820) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17823) all_4_72 = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n7, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (17819), (17821) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17824) all_4_72 = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (17823), (17824) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17825) all_4_74 = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | SIMP: (17825) implies:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17826) all_4_74 = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (17822), (17826) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17827) all_4_77 = n1
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (17824), (17827) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17828) all_4_72 = n1
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (129), (17822), (17827) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17829) sum(n1, n1) = all_4_99
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REDUCE: (17812), (17828) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17830) sum(n1, n1) = all_4_98
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n1, n1,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (18), (17830) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17831) all_4_98 = n2
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n1, n1,
% 259.93/66.01 | | | | | | | | | | | | | | | | simplifying with (17829), (17830) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17832) all_4_98 = all_4_99
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (17831), (17832) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17833) all_4_99 = n2
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | SIMP: (17833) implies:
% 259.93/66.01 | | | | | | | | | | | | | | | | (17834) all_4_99 = n2
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.93/66.01 | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.93/66.01 | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.01 | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.01 | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.01 | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.93/66.01 | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.93/66.01 | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.93/66.01 | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.93/66.01 | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.93/66.01 | | | | | | | | | | | | | | | | (17813), (17829), (17831), (17834) are
% 259.93/66.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | Case 2:
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | (17835) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.93/66.01 | | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | BETA: splitting (17835) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17836) all_4_100 = n5
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (230), (17836) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17837) pred(n5) = all_4_76
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (199), (17836) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17838) succ(n5) = all_4_78
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (192), (17838) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17839) all_4_78 = n6
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (223), (17837) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17840) all_4_76 = n4
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (130), (17839), (17840) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17841) sum(n4, n6) = all_4_72
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (17808), (17840) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17842) sum(n4, n7) = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (17810), (17839) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17843) sum(n5, n6) = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (56), (17841) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17844) all_4_72 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (57), (17842) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17845) all_4_74 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (67), (17843) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17846) all_4_77 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (129), (17845), (17846) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17847) sum(n0, n0) = all_4_99
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REDUCE: (17812), (17844) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17848) sum(n1, n10) = all_4_98
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (6), (17847) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17849) all_4_99 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 259.93/66.01 | | | | | | | | | | | | | | | | | simplifying with (27), (17848) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17850) all_4_98 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (17813),
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17847), (17849), (17850) are inconsistent by
% 259.93/66.01 | | | | | | | | | | | | | | | | | sub-proof #131.
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | (17851) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.93/66.01 | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | BETA: splitting (17851) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17852) all_4_100 = n4
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (230), (17852) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17853) pred(n4) = all_4_76
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (199), (17852) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17854) succ(n4) = all_4_78
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (191), (17854) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17855) all_4_78 = n5
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (222), (17853) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17856) all_4_76 = n3
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (130), (17855), (17856) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17857) sum(n3, n5) = all_4_72
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (17808), (17856) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17858) sum(n3, n7) = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (17810), (17855) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17859) sum(n5, n5) = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (44), (17857) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17860) all_4_72 = n8
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (46), (17858) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17861) all_4_74 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (66), (17859) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17862) all_4_77 = n10
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (129), (17861), (17862) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17863) sum(n10, n10) = all_4_99
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REDUCE: (17812), (17860) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17864) sum(n1, n8) = all_4_98
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (25), (17864) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17865) all_4_98 = n9
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | simplifying with (126), (17863) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17866) all_4_99 = n9
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17813), (17863), (17865), (17866) are
% 259.93/66.01 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | (17867) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | BETA: splitting (17867) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17868) all_4_100 = n3
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17868) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17869) pred(n3) = all_4_76
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17868) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17870) succ(n3) = all_4_78
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (190), (17870) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17871) all_4_78 = n4
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (221), (17869) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17872) all_4_76 = n2
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17871), (17872) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17873) sum(n2, n4) = all_4_72
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (17872) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17874) sum(n2, n7) = all_4_74
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (17871) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17875) sum(n5, n4) = all_4_77
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (32), (17873) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17876) all_4_72 = n6
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n7, n2,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (35), (17874) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17877) all_4_74 = n9
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n4, n5,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (65), (17875) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17878) all_4_77 = n9
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17877), (17878) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17879) sum(n9, n9) = all_4_99
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (17876) imply:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17880) sum(n1, n6) = all_4_98
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n6, n1,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (23), (17880) gives:
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | (17881) all_4_98 = n7
% 259.93/66.01 | | | | | | | | | | | | | | | | | | |
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.93/66.01 | | | | | | | | | | | | | | | | | | | simplifying with (114), (17879) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (17882) all_4_99 = n7
% 259.93/66.02 | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (17250), (17879), (17881), (17882) are
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 259.93/66.02 | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | (17883) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (17883) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17884) all_4_100 = n2
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17884) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17885) pred(n2) = all_4_76
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17884) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17886) succ(n2) = all_4_78
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (17886) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17887) all_4_78 = n3
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (17885) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17888) all_4_76 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17887), (17888) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17889) sum(n1, n3) = all_4_72
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (17888) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17890) sum(n1, n7) = all_4_74
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (17887) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17891) sum(n5, n3) = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (17889) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17892) all_4_72 = n4
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n7, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (24), (17890) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17893) all_4_74 = n8
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n3, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (64), (17891) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17894) all_4_77 = n8
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17893), (17894) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17895) sum(n8, n8) = all_4_99
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (17892) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17896) sum(n1, n4) = all_4_98
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n4, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (17896) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17897) all_4_98 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | simplifying with (102), (17895) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17898) all_4_99 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17250), (17895), (17897), (17898) are
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | (17899) all_4_100 = n1 | all_4_100 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17899) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17900) all_4_100 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17900) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17901) pred(n1) = all_4_76
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17900) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17902) succ(n1) = all_4_78
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (17902) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17903) all_4_78 = n2
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (17901) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17904) all_4_76 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17903), (17904) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17905) sum(n0, n2) = all_4_72
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (17904) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17906) sum(n0, n7) = all_4_74
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (17903) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17907) sum(n5, n2) = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (17905) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17908) all_4_72 = n2
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n7, n0,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (17906) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17909) all_4_74 = n7
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n2, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (17907) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17910) all_4_77 = n7
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17909), (17910) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17911) sum(n7, n7) = all_4_99
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (17908) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17912) sum(n1, n2) = all_4_98
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n2, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (17912) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17913) all_4_98 = n3
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (17911) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17914) all_4_99 = n3
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17250), (17911), (17913), (17914) are
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17915) all_4_100 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (17915) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17916) pred(n0) = all_4_76
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (17915) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17917) succ(n0) = all_4_78
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (17917) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17918) all_4_78 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (17916) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17919) all_4_76 = n10
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (17918), (17919) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17920) sum(n10, n1) = all_4_72
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (17919) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17921) sum(n10, n7) = all_4_74
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (17918) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17922) sum(n5, n1) = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n1, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (17922) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17923) all_4_77 = n6
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (17920) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17924) all_4_72 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n7, n10,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (17921) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17925) all_4_74 = n6
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17923), (17925) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17926) sum(n6, n6) = all_4_99
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (17924) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17927) sum(n1, n0) = all_4_98
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n0, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (17927) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17928) all_4_98 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (17926) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17929) all_4_99 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | (17813), (17926), (17928), (17929) are
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | | End of split
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | | End of split
% 259.93/66.02 | | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | | End of split
% 259.93/66.02 | | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | | End of split
% 259.93/66.02 | | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | End of split
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | End of split
% 259.93/66.02 | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | Case 2:
% 259.93/66.02 | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | (17930) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.93/66.02 | | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.93/66.02 | | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.93/66.02 | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | BETA: splitting (17802) gives:
% 259.93/66.02 | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | Case 1:
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | (17931) all_4_100 = n6
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (230), (17931) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17932) pred(n6) = all_4_76
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (199), (17931) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17933) succ(n6) = all_4_78
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (193), (17933) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17934) all_4_78 = n7
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (224), (17932) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17935) all_4_76 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (130), (17934), (17935) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17936) sum(n5, n7) = all_4_72
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (17808), (17935) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17937) sum(n5, n7) = all_4_74
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (17810), (17934) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17938) sum(n5, n7) = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n7, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (68), (17937) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17939) all_4_74 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n7, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17936), (17937) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17940) all_4_72 = all_4_74
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n7, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17936), (17938) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17941) all_4_72 = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17940), (17941) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17942) all_4_74 = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (17942) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17943) all_4_74 = all_4_77
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17939), (17943) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17944) all_4_77 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17941), (17944) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17945) all_4_72 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (129), (17939), (17944) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17946) sum(n1, n1) = all_4_99
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (17812), (17945) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17947) sum(n1, n1) = all_4_98
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n1, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18), (17947) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17948) all_4_98 = n2
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n1, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17946), (17947) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17949) all_4_98 = all_4_99
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17948), (17949) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17950) all_4_99 = n2
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (17950) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17951) all_4_99 = n2
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (232), (17948) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17952) pred(n2) = all_4_68
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (231), (17951) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17953) pred(n2) = all_4_71
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (201), (17948) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17954) succ(n2) = all_4_70
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (200), (17951) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17955) succ(n2) = all_4_67
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (189), (17955) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17956) all_4_67 = n3
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17954), (17955) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17957) all_4_67 = all_4_70
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (220), (17952) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17958) all_4_68 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17952), (17953) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17959) all_4_68 = all_4_71
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17956), (17957) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17960) all_4_70 = n3
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (17960) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17961) all_4_70 = n3
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17958), (17959) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17962) all_4_71 = n1
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (137), (17956), (17958) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17963) sum(n1, n3) = all_4_66
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (136), (17958), (17961) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17964) sum(n1, n3) = all_4_64
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (134), (17956), (17962) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17965) sum(n1, n3) = all_4_65
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (133), (17961), (17962) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17966) sum(n1, n3) = all_4_69
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (20), (17965) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17967) all_4_65 = n4
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17963), (17965) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17968) all_4_65 = all_4_66
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17963), (17964) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17969) all_4_64 = all_4_66
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17964), (17966) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17970) all_4_64 = all_4_69
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17969), (17970) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17971) all_4_66 = all_4_69
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (17971) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17972) all_4_66 = all_4_69
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17967), (17968) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17973) all_4_66 = n4
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (17973) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17974) all_4_66 = n4
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17972), (17974) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17975) all_4_69 = n4
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17970), (17975) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17976) all_4_64 = n4
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (138), (17967), (17976) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17977) sum(n4, n4) = all_4_96
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (135), (17974), (17975) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17978) sum(n4, n4) = all_4_97
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (54), (17977) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17979) all_4_96 = n8
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17977), (17978) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17980) all_4_96 = all_4_97
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17979), (17980) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17981) all_4_97 = n8
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (234), (17979) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17982) pred(n8) = all_4_60
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (233), (17981) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17983) pred(n8) = all_4_63
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (203), (17979) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17984) succ(n8) = all_4_62
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (202), (17981) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17985) succ(n8) = all_4_59
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_59, n8,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (195), (17985) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17986) all_4_59 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n8,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17984), (17985) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17987) all_4_59 = all_4_62
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_60, n8,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (226), (17982) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17988) all_4_60 = n7
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n8,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17982), (17983) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17989) all_4_60 = all_4_63
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17986), (17987) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17990) all_4_62 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (17990) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17991) all_4_62 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17988), (17989) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17992) all_4_63 = n7
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (143), (17986), (17988) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17993) sum(n7, n9) = all_4_58
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (142), (17988), (17991) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17994) sum(n7, n9) = all_4_56
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (140), (17986), (17992) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17995) sum(n7, n9) = all_4_57
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (139), (17991), (17992) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17996) sum(n7, n9) = all_4_61
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_58, n9, n7,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (92), (17993) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17997) all_4_58 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n9, n7,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17993), (17995) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17998) all_4_57 = all_4_58
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n9, n7,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17994), (17995) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (17999) all_4_56 = all_4_57
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n9, n7,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (17994), (17996) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18000) all_4_56 = all_4_61
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17999), (18000) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18001) all_4_57 = all_4_61
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (18001) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18002) all_4_57 = all_4_61
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17998), (18002) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18003) all_4_58 = all_4_61
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (18003) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18004) all_4_58 = all_4_61
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (17997), (18004) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18005) all_4_61 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18002), (18005) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18006) all_4_57 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18000), (18005) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18007) all_4_56 = n5
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (144), (18006), (18007) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18008) sum(n5, n5) = all_4_94
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (141), (17997), (18005) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18009) sum(n5, n5) = all_4_95
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_94, n5, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (66), (18008) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18010) all_4_94 = n10
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n5, n5,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18008), (18009) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18011) all_4_94 = all_4_95
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18010), (18011) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18012) all_4_95 = n10
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (236), (18010) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18013) pred(n10) = all_4_52
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (235), (18012) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18014) pred(n10) = all_4_55
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (205), (18010) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18015) succ(n10) = all_4_54
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (204), (18012) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18016) succ(n10) = all_4_51
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_4_51, n10,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (197), (18016) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18017) all_4_51 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n10,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18015), (18016) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18018) all_4_51 = all_4_54
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_52, n10,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (228), (18013) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18019) all_4_52 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n10,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18013), (18014) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18020) all_4_52 = all_4_55
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18017), (18018) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18021) all_4_54 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (18021) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18022) all_4_54 = n0
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18019), (18020) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18023) all_4_55 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (149), (18017), (18019) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18024) sum(n9, n0) = all_4_50
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (148), (18019), (18022) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18025) sum(n9, n0) = all_4_48
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (146), (18017), (18023) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18026) sum(n9, n0) = all_4_49
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (145), (18022), (18023) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18027) sum(n9, n0) = all_4_53
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_50, n0, n9,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (105), (18024) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18028) all_4_50 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n0, n9,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18024), (18026) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18029) all_4_49 = all_4_50
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n0, n9,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18025), (18026) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18030) all_4_48 = all_4_49
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n0, n9,
% 259.93/66.02 | | | | | | | | | | | | | | | | simplifying with (18025), (18027) gives:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18031) all_4_48 = all_4_53
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18030), (18031) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18032) all_4_49 = all_4_53
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (18032) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18033) all_4_49 = all_4_53
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18029), (18033) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18034) all_4_50 = all_4_53
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | SIMP: (18034) implies:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18035) all_4_50 = all_4_53
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18028), (18035) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18036) all_4_53 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18033), (18036) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18037) all_4_49 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (18031), (18036) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18038) all_4_48 = n9
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (150), (18037), (18038) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18039) sum(n9, n9) = all_4_92
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.02 | | | | | | | | | | | | | | | | REDUCE: (147), (18028), (18036) imply:
% 259.93/66.02 | | | | | | | | | | | | | | | | (18040) sum(n9, n9) = all_4_93
% 259.93/66.02 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_92, n9, n9,
% 259.93/66.03 | | | | | | | | | | | | | | | | simplifying with (114), (18039) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18041) all_4_92 = n7
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n9, n9,
% 259.93/66.03 | | | | | | | | | | | | | | | | simplifying with (18039), (18040) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18042) all_4_92 = all_4_93
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | COMBINE_EQS: (18041), (18042) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18043) all_4_93 = n7
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | SIMP: (18043) implies:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18044) all_4_93 = n7
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | REDUCE: (238), (18041) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18045) pred(n7) = all_4_44
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | REDUCE: (237), (18044) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18046) pred(n7) = all_4_47
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | REDUCE: (207), (18041) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18047) succ(n7) = all_4_46
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | REDUCE: (206), (18044) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | (18048) succ(n7) = all_4_43
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | BETA: splitting (17930) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | (18049) ~ (all_4_90 = all_4_91)
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_43, n7,
% 259.93/66.03 | | | | | | | | | | | | | | | | | simplifying with (194), (18048) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | (18050) all_4_43 = n8
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (151), (152), (153),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (154), (155), (156), (225), (18045), (18046),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (18047), (18048), (18049), (18050) are
% 259.93/66.03 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | (18051) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.93/66.03 | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.93/66.03 | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (133),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (195), (220),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (226), (17948), (17951), (17952), (17953),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (17954), (17955), (17982), (17983), (17984),
% 259.93/66.03 | | | | | | | | | | | | | | | | | (17985), (18041), (18044), (18051) are
% 259.93/66.03 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | End of split
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | Case 2:
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | (18052) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.93/66.03 | | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | BETA: splitting (17930) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | (18053) ~ (all_4_90 = all_4_91)
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | BETA: splitting (18052) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18054) all_4_100 = n5
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (230), (18054) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18055) pred(n5) = all_4_76
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (199), (18054) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18056) succ(n5) = all_4_78
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (192), (18056) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18057) all_4_78 = n6
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (223), (18055) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18058) all_4_76 = n4
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (130), (18057), (18058) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18059) sum(n4, n6) = all_4_72
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18058) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18060) sum(n4, n7) = all_4_74
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18057) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18061) sum(n5, n6) = all_4_77
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (56), (18059) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18062) all_4_72 = n10
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (57), (18060) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18063) all_4_74 = n0
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (67), (18061) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18064) all_4_77 = n0
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (129), (18063), (18064) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18065) sum(n0, n0) = all_4_99
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18062) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18066) sum(n1, n10) = all_4_98
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (6), (18065) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18067) all_4_99 = n0
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | simplifying with (27), (18066) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18068) all_4_98 = n0
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (236), (237), (238), (18053), (18065), (18067),
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18068) are inconsistent by sub-proof #118.
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | Case 2:
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | (18069) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | BETA: splitting (18069) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | Case 1:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | (18070) all_4_100 = n4
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18070) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | (18071) pred(n4) = all_4_76
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18070) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | (18072) succ(n4) = all_4_78
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (191), (18072) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | (18073) all_4_78 = n5
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (222), (18071) gives:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | (18074) all_4_76 = n3
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18073), (18074) imply:
% 259.93/66.03 | | | | | | | | | | | | | | | | | | | (18075) sum(n3, n5) = all_4_72
% 259.93/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18074) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18076) sum(n3, n7) = all_4_74
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18073) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18077) sum(n5, n5) = all_4_77
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (44), (18075) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18078) all_4_72 = n8
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (46), (18076) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18079) all_4_74 = n10
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (66), (18077) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18080) all_4_77 = n10
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18079), (18080) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18081) sum(n10, n10) = all_4_99
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18078) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18082) sum(n1, n8) = all_4_98
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (25), (18082) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18083) all_4_98 = n9
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | simplifying with (126), (18081) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18084) all_4_99 = n9
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (238), (18053), (18083), (18084) are inconsistent
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | (18085) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (18085) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18086) all_4_100 = n3
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18086) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18087) pred(n3) = all_4_76
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18086) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18088) succ(n3) = all_4_78
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18088) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18089) all_4_78 = n4
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18087) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18090) all_4_76 = n2
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18089), (18090) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18091) sum(n2, n4) = all_4_72
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18090) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18092) sum(n2, n7) = all_4_74
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18089) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18093) sum(n5, n4) = all_4_77
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18091) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18094) all_4_72 = n6
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n7, n2,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (35), (18092) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18095) all_4_74 = n9
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n4, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (65), (18093) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18096) all_4_77 = n9
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18095), (18096) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18097) sum(n9, n9) = all_4_99
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18094) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18098) sum(n1, n6) = all_4_98
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n6, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (23), (18098) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18099) all_4_98 = n7
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | simplifying with (114), (18097) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18100) all_4_99 = n7
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (80), (92), (133), (134), (135), (136), (137),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (194), (195), (200), (201), (202), (203), (204),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (226),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (238), (17930), (18099), (18100) are inconsistent
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | by sub-proof #79.
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | (18101) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18101) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18102) all_4_100 = n2
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18102) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18103) pred(n2) = all_4_76
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18102) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18104) succ(n2) = all_4_78
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18104) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18105) all_4_78 = n3
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18103) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18106) all_4_76 = n1
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18105), (18106) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18107) sum(n1, n3) = all_4_72
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18106) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18108) sum(n1, n7) = all_4_74
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18105) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18109) sum(n5, n3) = all_4_77
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18107) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18110) all_4_72 = n4
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n7, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (18108) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18111) all_4_74 = n8
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n3, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (64), (18109) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18112) all_4_77 = n8
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18111), (18112) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18113) sum(n8, n8) = all_4_99
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18110) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18114) sum(n1, n4) = all_4_98
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n4, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (18114) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18115) all_4_98 = n5
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (18113) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18116) all_4_99 = n5
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (56), (78), (90),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (223), (227),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (238), (17930), (18115), (18116) are inconsistent
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | by sub-proof #58.
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | (18117) all_4_100 = n1 | all_4_100 = n0
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18117) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18118) all_4_100 = n1
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18118) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18119) pred(n1) = all_4_76
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18118) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18120) succ(n1) = all_4_78
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18120) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18121) all_4_78 = n2
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18119) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18122) all_4_76 = n0
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18121), (18122) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18123) sum(n0, n2) = all_4_72
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18122) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18124) sum(n0, n7) = all_4_74
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18121) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18125) sum(n5, n2) = all_4_77
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18123) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18126) all_4_72 = n2
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n7, n0,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (18124) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18127) all_4_74 = n7
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n2, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (18125) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18128) all_4_77 = n7
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18127), (18128) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18129) sum(n7, n7) = all_4_99
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18126) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18130) sum(n1, n2) = all_4_98
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n2, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (18130) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18131) all_4_98 = n3
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18129) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18132) all_4_99 = n3
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (102), (126), (133), (134), (135), (136), (137),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (200), (201), (202), (203), (204),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (223),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (238), (17930), (18131), (18132) are inconsistent
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #31.
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18133) all_4_100 = n0
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18133) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18134) pred(n0) = all_4_76
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18133) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18135) succ(n0) = all_4_78
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18135) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18136) all_4_78 = n1
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18134) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18137) all_4_76 = n10
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18136), (18137) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18138) sum(n10, n1) = all_4_72
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18137) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18139) sum(n10, n7) = all_4_74
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18136) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18140) sum(n5, n1) = all_4_77
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n1, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (18140) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18141) all_4_77 = n6
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18138) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18142) all_4_72 = n0
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n7, n10,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (18139) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18143) all_4_74 = n6
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18141), (18143) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18144) sum(n6, n6) = all_4_99
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18142) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18145) sum(n1, n0) = all_4_98
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n0, n1,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18145) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18146) all_4_98 = n1
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18144) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (18147) all_4_99 = n1
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (90), (102),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (191),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (222), (223), (227),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | (238), (17930), (18146), (18147) are inconsistent
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #28.
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.03 | | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | End of split
% 259.98/66.03 | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.03 | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | (18148) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.98/66.03 | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.98/66.03 | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.98/66.03 | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | BETA: splitting (18052) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | (18149) all_4_100 = n5
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (230), (18149) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | (18150) pred(n5) = all_4_76
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (199), (18149) imply:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | (18151) succ(n5) = all_4_78
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | simplifying with (192), (18151) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | (18152) all_4_78 = n6
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.98/66.03 | | | | | | | | | | | | | | | | | | simplifying with (223), (18150) gives:
% 259.98/66.03 | | | | | | | | | | | | | | | | | | (18153) all_4_76 = n4
% 259.98/66.03 | | | | | | | | | | | | | | | | | |
% 259.98/66.03 | | | | | | | | | | | | | | | | | | REDUCE: (130), (18152), (18153) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18154) sum(n4, n6) = all_4_72
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18153) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18155) sum(n4, n7) = all_4_74
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18152) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18156) sum(n5, n6) = all_4_77
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (56), (18154) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18157) all_4_72 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n7, n4,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (57), (18155) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18158) all_4_74 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n6, n5,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (67), (18156) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18159) all_4_77 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (129), (18158), (18159) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18160) sum(n0, n0) = all_4_99
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18157) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18161) sum(n1, n10) = all_4_98
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (6), (18160) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18162) all_4_99 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n10, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (27), (18161) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18163) all_4_98 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (232), (18163) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18164) pred(n0) = all_4_68
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (231), (18162) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18165) pred(n0) = all_4_71
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (201), (18163) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18166) succ(n0) = all_4_70
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (200), (18162) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18167) succ(n0) = all_4_67
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_67, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (187), (18167) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18168) all_4_67 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (18166), (18167) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18169) all_4_67 = all_4_70
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_68, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (218), (18164) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18170) all_4_68 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (18164), (18165) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18171) all_4_68 = all_4_71
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18168), (18169) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18172) all_4_70 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | SIMP: (18172) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18173) all_4_70 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18170), (18171) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18174) all_4_71 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (137), (18168), (18170) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18175) sum(n10, n1) = all_4_66
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (136), (18170), (18173) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18176) sum(n10, n1) = all_4_64
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (134), (18168), (18174) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18177) sum(n10, n1) = all_4_65
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (133), (18173), (18174) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18178) sum(n10, n1) = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_65, n1, n10,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (117), (18177) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18179) all_4_65 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | n10, simplifying with (18175), (18177) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18180) all_4_65 = all_4_66
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | n10, simplifying with (18175), (18176) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18181) all_4_64 = all_4_66
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | n10, simplifying with (18176), (18178) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18182) all_4_64 = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18181), (18182) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18183) all_4_66 = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | SIMP: (18183) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18184) all_4_66 = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18179), (18180) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18185) all_4_66 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | SIMP: (18185) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18186) all_4_66 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18184), (18186) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18187) all_4_69 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18182), (18187) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18188) all_4_64 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (138), (18179), (18188) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18189) sum(n0, n0) = all_4_96
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (135), (18186), (18187) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18190) sum(n0, n0) = all_4_97
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_96, n0, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (6), (18189) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18191) all_4_96 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n0, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (18189), (18190) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18192) all_4_96 = all_4_97
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18191), (18192) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18193) all_4_97 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (234), (18191) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18194) pred(n0) = all_4_60
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (233), (18193) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18195) pred(n0) = all_4_63
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (203), (18191) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18196) succ(n0) = all_4_62
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (202), (18193) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18197) succ(n0) = all_4_59
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_59, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (187), (18197) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18198) all_4_59 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (18196), (18197) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18199) all_4_59 = all_4_62
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_60, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (218), (18194) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18200) all_4_60 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (18194), (18195) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18201) all_4_60 = all_4_63
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18198), (18199) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18202) all_4_62 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | SIMP: (18202) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18203) all_4_62 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18200), (18201) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18204) all_4_63 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (143), (18198), (18200) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18205) sum(n10, n1) = all_4_58
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (142), (18200), (18203) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18206) sum(n10, n1) = all_4_56
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (140), (18198), (18204) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18207) sum(n10, n1) = all_4_57
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (139), (18203), (18204) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18208) sum(n10, n1) = all_4_61
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_58, n1, n10,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (117), (18205) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18209) all_4_58 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | n10, simplifying with (18205), (18207) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18210) all_4_57 = all_4_58
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | n10, simplifying with (18206), (18207) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18211) all_4_56 = all_4_57
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | n10, simplifying with (18206), (18208) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18212) all_4_56 = all_4_61
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18211), (18212) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18213) all_4_57 = all_4_61
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | SIMP: (18213) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18214) all_4_57 = all_4_61
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18210), (18214) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18215) all_4_58 = all_4_61
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | SIMP: (18215) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18216) all_4_58 = all_4_61
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18209), (18216) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18217) all_4_61 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18214), (18217) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18218) all_4_57 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18212), (18217) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18219) all_4_56 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (144), (18218), (18219) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18220) sum(n0, n0) = all_4_94
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (141), (18209), (18217) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18221) sum(n0, n0) = all_4_95
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_94, n0, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (6), (18220) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18222) all_4_94 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n0, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | simplifying with (18220), (18221) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18223) all_4_94 = all_4_95
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18222), (18223) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18224) all_4_95 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (236), (18222) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18225) pred(n0) = all_4_52
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (235), (18224) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18226) pred(n0) = all_4_55
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (205), (18222) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18227) succ(n0) = all_4_54
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | REDUCE: (204), (18224) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18228) succ(n0) = all_4_51
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | BETA: splitting (18148) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18229) ~ (all_4_92 = all_4_93)
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_51, n0,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | simplifying with (187), (18228) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18230) all_4_51 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (117), (145), (146), (147),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (148), (149), (150), (218), (18225), (18226),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18227), (18228), (18229), (18230) are
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #109.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18231) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (117), (133), (134), (135),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (136), (137), (138), (187), (218), (18162),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18163), (18164), (18165), (18166), (18167),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18222), (18224), (18231) are inconsistent by
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | (18232) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | BETA: splitting (18148) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18233) ~ (all_4_92 = all_4_93)
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (18232) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18234) all_4_100 = n4
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18234) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18235) pred(n4) = all_4_76
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18234) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18236) succ(n4) = all_4_78
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (18236) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18237) all_4_78 = n5
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (18235) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18238) all_4_76 = n3
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18237), (18238) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18239) sum(n3, n5) = all_4_72
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18238) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18240) sum(n3, n7) = all_4_74
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18237) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18241) sum(n5, n5) = all_4_77
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (18239) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18242) all_4_72 = n8
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (46), (18240) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18243) all_4_74 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18241) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18244) all_4_77 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18243), (18244) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18245) sum(n10, n10) = all_4_99
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18242) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18246) sum(n1, n8) = all_4_98
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (25), (18246) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18247) all_4_98 = n9
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (78), (90), (104),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (190),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (219), (221), (227), (231), (232), (233), (234),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (235), (236), (18233), (18245), (18247) are
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18248) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (13), (17), (18), (19), (20),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (21), (23), (24), (30), (32), (35), (42), (44),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (54), (56), (62), (63), (64), (65), (68), (78),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (80), (90), (102), (104), (114), (117), (123),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (126), (129), (130), (133), (134), (135), (136),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (187), (188), (189), (190), (191), (192), (193),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (194), (196), (199), (200), (201), (202), (203),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (204), (205), (218), (219), (220), (221), (222),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (230), (231), (232),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (17808), (17810),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (17812), (18148), (18248) are inconsistent by
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | (18249) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (18232) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18250) all_4_100 = n4
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18250) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18251) pred(n4) = all_4_76
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18250) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18252) succ(n4) = all_4_78
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (18252) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18253) all_4_78 = n5
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (18251) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18254) all_4_76 = n3
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18253), (18254) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18255) sum(n3, n5) = all_4_72
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (18254) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18256) sum(n3, n7) = all_4_74
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (17810), (18253) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18257) sum(n5, n5) = all_4_77
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (18255) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18258) all_4_72 = n8
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n7, n3,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (46), (18256) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18259) all_4_74 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n5, n5,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18257) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18260) all_4_77 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18259), (18260) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18261) sum(n10, n10) = all_4_99
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (17812), (18258) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18262) sum(n1, n8) = all_4_98
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n8, n1,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (25), (18262) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18263) all_4_98 = n9
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (126), (18261) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18264) all_4_99 = n9
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (18263) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18265) pred(n9) = all_4_68
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (18264) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18266) pred(n9) = all_4_71
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (18263) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18267) succ(n9) = all_4_70
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (18264) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18268) succ(n9) = all_4_67
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_67, n9,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (196), (18268) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18269) all_4_67 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n9,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (18267), (18268) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18270) all_4_67 = all_4_70
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_68, n9,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (227), (18265) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18271) all_4_68 = n8
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n9,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (18265), (18266) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18272) all_4_68 = all_4_71
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18269), (18270) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18273) all_4_70 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | SIMP: (18273) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18274) all_4_70 = n10
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18271), (18272) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18275) all_4_71 = n8
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (18269), (18271) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18276) sum(n8, n10) = all_4_66
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (18271), (18274) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18277) sum(n8, n10) = all_4_64
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (18269), (18275) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18278) sum(n8, n10) = all_4_65
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (18274), (18275) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18279) sum(n8, n10) = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_65, n10, n8,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (104), (18278) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18280) all_4_65 = n7
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n10,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | n8, simplifying with (18276), (18278) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18281) all_4_65 = all_4_66
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n10,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | n8, simplifying with (18276), (18277) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18282) all_4_64 = all_4_66
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n10,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | n8, simplifying with (18277), (18279) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18283) all_4_64 = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18282), (18283) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18284) all_4_66 = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | SIMP: (18284) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18285) all_4_66 = all_4_69
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18280), (18281) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18286) all_4_66 = n7
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | SIMP: (18286) implies:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18287) all_4_66 = n7
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18285), (18287) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18288) all_4_69 = n7
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18283), (18288) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18289) all_4_64 = n7
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (18280), (18289) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18290) sum(n7, n7) = all_4_96
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (18287), (18288) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18291) sum(n7, n7) = all_4_97
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_96, n7, n7,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18290) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18292) all_4_96 = n3
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n7, n7,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | simplifying with (18290), (18291) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18293) all_4_96 = all_4_97
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18292), (18293) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18294) all_4_97 = n3
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (18292) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18295) pred(n3) = all_4_60
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (18294) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18296) pred(n3) = all_4_63
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (18292) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18297) succ(n3) = all_4_62
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (18294) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18298) succ(n3) = all_4_59
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18249) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | (18299) ~ (all_4_94 = all_4_95)
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_59, n3,
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18298) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | (18300) all_4_59 = n4
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (139), (140), (141),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (221), (18295), (18296),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | (18297), (18298), (18299), (18300) are
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #99.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | (18301) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | all_4_99)
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18263), (18264), (18292), (18294), (18301) are
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (18302) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (13), (17), (18), (19), (20),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (21), (23), (24), (30), (32), (35), (42), (44),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (54), (56), (62), (63), (64), (65), (68), (78),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (80), (90), (102), (104), (114), (117), (123),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (126), (129), (130), (133), (134), (135), (136),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (187), (188), (189), (190), (191), (192), (193),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (194), (196), (199), (200), (201), (202), (203),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (204), (205), (218), (219), (220), (221), (222),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (230), (231), (232),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (17808), (17810),
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | (17812), (18148), (18302) are inconsistent by
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | End of split
% 259.98/66.04 | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | Case 2:
% 259.98/66.04 | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | (18303) all_4_101 = n5 | all_4_101 = n4 | all_4_101 = n3 |
% 259.98/66.04 | | | | | | | | | | | | | | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.04 | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | BETA: splitting (17250) gives:
% 259.98/66.04 | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | (18304) ~ (all_4_88 = all_4_89)
% 259.98/66.04 | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | BETA: splitting (17802) gives:
% 259.98/66.04 | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | Case 1:
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | (18305) all_4_100 = n6
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | REDUCE: (230), (18305) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18306) pred(n6) = all_4_76
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | REDUCE: (199), (18305) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18307) succ(n6) = all_4_78
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.98/66.04 | | | | | | | | | | | | | | | | simplifying with (193), (18307) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18308) all_4_78 = n7
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.98/66.04 | | | | | | | | | | | | | | | | simplifying with (224), (18306) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18309) all_4_76 = n5
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | REDUCE: (131), (18309) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18310) sum(n5, all_4_75) = all_4_74
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | REDUCE: (130), (18308), (18309) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18311) sum(n5, n7) = all_4_72
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | REDUCE: (127), (18308) imply:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18312) sum(all_4_79, n7) = all_4_77
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.98/66.04 | | | | | | | | | | | | | | | | simplifying with (68), (18311) gives:
% 259.98/66.04 | | | | | | | | | | | | | | | | (18313) all_4_72 = n1
% 259.98/66.04 | | | | | | | | | | | | | | | |
% 259.98/66.04 | | | | | | | | | | | | | | | | REDUCE: (132), (18313) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | (18314) sum(all_4_73, n1) = all_4_98
% 259.98/66.05 | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | BETA: splitting (18303) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18315) all_4_101 = n5
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (229), (18315) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18316) pred(n5) = all_4_79
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (198), (18315) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18317) succ(n5) = all_4_75
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (192), (18317) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18318) all_4_75 = n6
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (223), (18316) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18319) all_4_79 = n4
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (128), (18318), (18319) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18320) sum(n4, n6) = all_4_73
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (18312), (18319) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18321) sum(n4, n7) = all_4_77
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (18310), (18318) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18322) sum(n5, n6) = all_4_74
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (56), (18320) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18323) all_4_73 = n10
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n7, n4,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (57), (18321) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18324) all_4_77 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n6, n5,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (67), (18322) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18325) all_4_74 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (18314), (18323) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18326) sum(n10, n1) = all_4_98
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (129), (18324), (18325) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18327) sum(n0, n0) = all_4_99
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (6), (18327) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18328) all_4_99 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n1, n10,
% 259.98/66.05 | | | | | | | | | | | | | | | | | simplifying with (117), (18326) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18329) all_4_98 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (232), (18329) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18330) pred(n0) = all_4_68
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (231), (18328) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18331) pred(n0) = all_4_71
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (201), (18329) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18332) succ(n0) = all_4_70
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REDUCE: (200), (18328) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18333) succ(n0) = all_4_67
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (202),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (203), (204), (205), (206), (207), (208), (209),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (218), (233), (234), (235), (236), (237), (238),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (239), (240), (18304), (18327), (18328), (18330),
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18331), (18332), (18333) are inconsistent by
% 259.98/66.05 | | | | | | | | | | | | | | | | | sub-proof #132.
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | (18334) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.98/66.05 | | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | BETA: splitting (18334) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18335) all_4_101 = n4
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (229), (18335) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18336) pred(n4) = all_4_79
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (198), (18335) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18337) succ(n4) = all_4_75
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (191), (18337) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18338) all_4_75 = n5
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (222), (18336) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18339) all_4_79 = n3
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (128), (18338), (18339) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18340) sum(n3, n5) = all_4_73
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (18312), (18339) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18341) sum(n3, n7) = all_4_77
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (18310), (18338) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18342) sum(n5, n5) = all_4_74
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (44), (18340) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18343) all_4_73 = n8
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (46), (18341) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18344) all_4_77 = n10
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (66), (18342) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18345) all_4_74 = n10
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (18314), (18343) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18346) sum(n8, n1) = all_4_98
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REDUCE: (129), (18344), (18345) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18347) sum(n10, n10) = all_4_99
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (95), (18346) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18348) all_4_98 = n9
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | simplifying with (126), (18347) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18349) all_4_99 = n9
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18304), (18347), (18348), (18349) are
% 259.98/66.05 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | (18350) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | BETA: splitting (18350) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18351) all_4_101 = n3
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18351) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18352) pred(n3) = all_4_79
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18351) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18353) succ(n3) = all_4_75
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (190), (18353) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18354) all_4_75 = n4
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (221), (18352) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18355) all_4_79 = n2
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18354), (18355) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18356) sum(n2, n4) = all_4_73
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (18312), (18355) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18357) sum(n2, n7) = all_4_77
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (18310), (18354) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18358) sum(n5, n4) = all_4_74
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (32), (18356) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18359) all_4_73 = n6
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n7, n2,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (35), (18357) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18360) all_4_77 = n9
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n4, n5,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (65), (18358) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18361) all_4_74 = n9
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (18314), (18359) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18362) sum(n6, n1) = all_4_98
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18360), (18361) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18363) sum(n9, n9) = all_4_99
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n1, n6,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (73), (18362) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18364) all_4_98 = n7
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | simplifying with (114), (18363) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18365) all_4_99 = n7
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (17250), (18363), (18364), (18365) are
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | (18366) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (18366) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18367) all_4_101 = n2
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18367) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18368) pred(n2) = all_4_79
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18367) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18369) succ(n2) = all_4_75
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18369) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18370) all_4_75 = n3
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18368) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18371) all_4_79 = n1
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18370), (18371) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18372) sum(n1, n3) = all_4_73
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (18312), (18371) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18373) sum(n1, n7) = all_4_77
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (18310), (18370) imply:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18374) sum(n5, n3) = all_4_74
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18372) gives:
% 259.98/66.05 | | | | | | | | | | | | | | | | | | | | (18375) all_4_73 = n4
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n7, n1,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (24), (18373) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18376) all_4_77 = n8
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n3, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (64), (18374) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18377) all_4_74 = n8
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (18314), (18375) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18378) sum(n4, n1) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18376), (18377) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18379) sum(n8, n8) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n1, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (51), (18378) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18380) all_4_98 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (102), (18379) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18381) all_4_99 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (17250), (18379), (18380), (18381) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18382) all_4_101 = n1 | all_4_101 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18382) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18383) all_4_101 = n1
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18383) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18384) pred(n1) = all_4_79
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18383) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18385) succ(n1) = all_4_75
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18385) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18386) all_4_75 = n2
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18384) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18387) all_4_79 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18386), (18387) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18388) sum(n0, n2) = all_4_73
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18312), (18387) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18389) sum(n0, n7) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18310), (18386) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18390) sum(n5, n2) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18388) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18391) all_4_73 = n2
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n7, n0,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (18389) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18392) all_4_77 = n7
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n2, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (18390) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18393) all_4_74 = n7
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18314), (18391) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18394) sum(n2, n1) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18392), (18393) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18395) sum(n7, n7) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n1, n2,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (18394) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18396) all_4_98 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18395) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18397) all_4_99 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (17250), (18395), (18396), (18397) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18398) all_4_101 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18398) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18399) pred(n0) = all_4_79
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18398) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18400) succ(n0) = all_4_75
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18400) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18401) all_4_75 = n1
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18399) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18402) all_4_79 = n10
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18401), (18402) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18403) sum(n10, n1) = all_4_73
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18312), (18402) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18404) sum(n10, n7) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18310), (18401) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18405) sum(n5, n1) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n1, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (18405) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18406) all_4_74 = n6
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18403) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18407) all_4_73 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n7, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (18404) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18408) all_4_77 = n6
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18314), (18407) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18409) sum(n0, n1) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18406), (18408) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18410) sum(n6, n6) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n1, n0,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (18409) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18411) all_4_98 = n1
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18410) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18412) all_4_99 = n1
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18304), (18410), (18411), (18412) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | End of split
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | End of split
% 259.98/66.06 | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | (18413) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 259.98/66.06 | | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | BETA: splitting (18303) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18414) all_4_101 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | REDUCE: (229), (18414) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18415) pred(n5) = all_4_79
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | REDUCE: (198), (18414) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18416) succ(n5) = all_4_75
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | simplifying with (192), (18416) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18417) all_4_75 = n6
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | simplifying with (223), (18415) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18418) all_4_79 = n4
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | REDUCE: (131), (18417) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18419) sum(all_4_76, n6) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | REDUCE: (128), (18417), (18418) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18420) sum(n4, n6) = all_4_73
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | REDUCE: (127), (18418) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18421) sum(n4, all_4_78) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | simplifying with (56), (18420) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18422) all_4_73 = n10
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | REDUCE: (132), (18422) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | (18423) sum(n10, all_4_72) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | BETA: splitting (18413) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18424) all_4_100 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (230), (18424) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18425) pred(n5) = all_4_76
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (199), (18424) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18426) succ(n5) = all_4_78
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | simplifying with (192), (18426) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18427) all_4_78 = n6
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | simplifying with (223), (18425) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18428) all_4_76 = n4
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (130), (18427), (18428) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18429) sum(n4, n6) = all_4_72
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (18419), (18428) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18430) sum(n4, n6) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18427) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18431) sum(n4, n6) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | simplifying with (56), (18430) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18432) all_4_74 = n10
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | simplifying with (18429), (18430) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18433) all_4_72 = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | simplifying with (18429), (18431) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18434) all_4_72 = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18433), (18434) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18435) all_4_74 = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | SIMP: (18435) implies:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18436) all_4_74 = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18432), (18436) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18437) all_4_77 = n10
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18434), (18437) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18438) all_4_72 = n10
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (129), (18432), (18437) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18439) sum(n10, n10) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REDUCE: (18423), (18438) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18440) sum(n10, n10) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | simplifying with (126), (18440) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18441) all_4_98 = n9
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | n10, simplifying with (18439), (18440) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18442) all_4_98 = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18441), (18442) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18443) all_4_99 = n9
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | SIMP: (18443) implies:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18444) all_4_99 = n9
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (90), (102), (104), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18304), (18439), (18441), (18444) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | (18445) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | BETA: splitting (18445) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18446) all_4_100 = n4
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18446) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18447) pred(n4) = all_4_76
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18446) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18448) succ(n4) = all_4_78
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (191), (18448) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18449) all_4_78 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (222), (18447) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18450) all_4_76 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18449), (18450) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18451) sum(n3, n5) = all_4_72
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (18419), (18450) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18452) sum(n3, n6) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18449) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18453) sum(n4, n5) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (44), (18451) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18454) all_4_72 = n8
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n6, n3,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (45), (18452) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18455) all_4_74 = n9
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n5, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (55), (18453) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18456) all_4_77 = n9
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18455), (18456) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18457) sum(n9, n9) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REDUCE: (18423), (18454) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18458) sum(n10, n8) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (114), (18457) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18459) all_4_99 = n7
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n8, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | simplifying with (124), (18458) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18460) all_4_98 = n7
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (17250), (18457), (18459), (18460) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | (18461) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (18461) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18462) all_4_100 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18462) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18463) pred(n3) = all_4_76
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18462) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18464) succ(n3) = all_4_78
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18464) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18465) all_4_78 = n4
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18463) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18466) all_4_76 = n2
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18465), (18466) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18467) sum(n2, n4) = all_4_72
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (18419), (18466) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18468) sum(n2, n6) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18465) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18469) sum(n4, n4) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18467) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18470) all_4_72 = n6
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n6, n2,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (34), (18468) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18471) all_4_74 = n8
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n4, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18469) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18472) all_4_77 = n8
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18471), (18472) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18473) sum(n8, n8) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (18423), (18470) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18474) sum(n10, n6) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (102), (18473) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18475) all_4_99 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n6, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | simplifying with (122), (18474) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18476) all_4_98 = n5
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (17250), (18473), (18475), (18476) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | (18477) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18477) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18478) all_4_100 = n2
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18478) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18479) pred(n2) = all_4_76
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18478) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18480) succ(n2) = all_4_78
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18480) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18481) all_4_78 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18479) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18482) all_4_76 = n1
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18481), (18482) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18483) sum(n1, n3) = all_4_72
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18419), (18482) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18484) sum(n1, n6) = all_4_74
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18481) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18485) sum(n4, n3) = all_4_77
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18483) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18486) all_4_72 = n4
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n6, n1,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (18484) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18487) all_4_74 = n7
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n3, n4,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (18485) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18488) all_4_77 = n7
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18487), (18488) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18489) sum(n7, n7) = all_4_99
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18423), (18486) imply:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18490) sum(n10, n4) = all_4_98
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18489) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18491) all_4_99 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n4, n10,
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (18490) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18492) all_4_98 = n3
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (17250), (18489), (18491), (18492) are
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | (18493) all_4_100 = n1 | all_4_100 = n0
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18493) gives:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.06 | | | | | | | | | | | | | | | | | | | | | | (18494) all_4_100 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18494) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18495) pred(n1) = all_4_76
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18494) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18496) succ(n1) = all_4_78
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18496) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18497) all_4_78 = n2
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18495) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18498) all_4_76 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18497), (18498) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18499) sum(n0, n2) = all_4_72
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18419), (18498) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18500) sum(n0, n6) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18497) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18501) sum(n4, n2) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18499) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18502) all_4_72 = n2
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n6, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (18500) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18503) all_4_74 = n6
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n2, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (18501) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18504) all_4_77 = n6
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18503), (18504) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18505) sum(n6, n6) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18423), (18502) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18506) sum(n10, n2) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18505) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18507) all_4_99 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n2, n10,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (18506) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18508) all_4_98 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18304), (18505), (18507), (18508) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18509) all_4_100 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18509) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18510) pred(n0) = all_4_76
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18509) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18511) succ(n0) = all_4_78
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18511) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18512) all_4_78 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18510) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18513) all_4_76 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18512), (18513) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18514) sum(n10, n1) = all_4_72
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18419), (18513) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18515) sum(n10, n6) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18512) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18516) sum(n4, n1) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n1, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (18516) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18517) all_4_77 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18514) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18518) all_4_72 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n6, n10,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (18515) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18519) all_4_74 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18517), (18519) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18520) sum(n5, n5) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18423), (18518) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18521) sum(n10, n0) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18520) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18522) all_4_99 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n0, n10,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (18521) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18523) all_4_98 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18304), (18520), (18522), (18523) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | (18524) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.98/66.07 | | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | BETA: splitting (18413) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18525) all_4_100 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | REDUCE: (230), (18525) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18526) pred(n5) = all_4_76
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | REDUCE: (199), (18525) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18527) succ(n5) = all_4_78
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | simplifying with (192), (18527) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18528) all_4_78 = n6
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | simplifying with (223), (18526) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18529) all_4_76 = n4
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | REDUCE: (131), (18529) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18530) sum(n4, all_4_75) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | REDUCE: (130), (18528), (18529) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18531) sum(n4, n6) = all_4_72
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | REDUCE: (127), (18528) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18532) sum(all_4_79, n6) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | simplifying with (56), (18531) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18533) all_4_72 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | REDUCE: (132), (18533) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | (18534) sum(all_4_73, n10) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | BETA: splitting (18524) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18535) all_4_101 = n4
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18535) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18536) pred(n4) = all_4_79
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18535) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18537) succ(n4) = all_4_75
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (191), (18537) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18538) all_4_75 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (222), (18536) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18539) all_4_79 = n3
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18538), (18539) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18540) sum(n3, n5) = all_4_73
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (18532), (18539) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18541) sum(n3, n6) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (18530), (18538) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18542) sum(n4, n5) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (44), (18540) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18543) all_4_73 = n8
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (45), (18541) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18544) all_4_77 = n9
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (55), (18542) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18545) all_4_74 = n9
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (18534), (18543) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18546) sum(n8, n10) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18544), (18545) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18547) sum(n9, n9) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (104), (18546) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18548) all_4_98 = n7
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | simplifying with (114), (18547) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18549) all_4_99 = n7
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (80), (92), (105), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (17250), (18547), (18548), (18549) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | (18550) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (18550) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18551) all_4_101 = n3
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18551) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18552) pred(n3) = all_4_79
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18551) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18553) succ(n3) = all_4_75
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18553) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18554) all_4_75 = n4
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18552) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18555) all_4_79 = n2
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18554), (18555) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18556) sum(n2, n4) = all_4_73
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (18532), (18555) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18557) sum(n2, n6) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (18530), (18554) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18558) sum(n4, n4) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18556) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18559) all_4_73 = n6
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (34), (18557) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18560) all_4_77 = n8
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18558) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18561) all_4_74 = n8
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (18534), (18559) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18562) sum(n6, n10) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18560), (18561) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18563) sum(n8, n8) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (82), (18562) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18564) all_4_98 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | simplifying with (102), (18563) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18565) all_4_99 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (17250), (18563), (18564), (18565) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | (18566) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18566) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18567) all_4_101 = n2
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18567) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18568) pred(n2) = all_4_79
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18567) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18569) succ(n2) = all_4_75
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18569) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18570) all_4_75 = n3
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18568) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18571) all_4_79 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18570), (18571) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18572) sum(n1, n3) = all_4_73
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18532), (18571) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18573) sum(n1, n6) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18530), (18570) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18574) sum(n4, n3) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18572) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18575) all_4_73 = n4
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (18573) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18576) all_4_77 = n7
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (18574) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18577) all_4_74 = n7
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18534), (18575) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18578) sum(n4, n10) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18576), (18577) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18579) sum(n7, n7) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (18578) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18580) all_4_98 = n3
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18579) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18581) all_4_99 = n3
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (17250), (18579), (18580), (18581) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | (18582) all_4_101 = n1 | all_4_101 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18582) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18583) all_4_101 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18583) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18584) pred(n1) = all_4_79
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18583) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18585) succ(n1) = all_4_75
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18585) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18586) all_4_75 = n2
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18584) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18587) all_4_79 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18586), (18587) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18588) sum(n0, n2) = all_4_73
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18532), (18587) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18589) sum(n0, n6) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18530), (18586) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18590) sum(n4, n2) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18588) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18591) all_4_73 = n2
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (18589) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18592) all_4_77 = n6
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (18590) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18593) all_4_74 = n6
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18534), (18591) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18594) sum(n2, n10) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18592), (18593) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18595) sum(n6, n6) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (18594) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18596) all_4_98 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18595) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18597) all_4_99 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18304), (18595), (18596), (18597) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18598) all_4_101 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18598) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18599) pred(n0) = all_4_79
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18598) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18600) succ(n0) = all_4_75
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18600) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18601) all_4_75 = n1
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18599) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18602) all_4_79 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18601), (18602) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18603) sum(n10, n1) = all_4_73
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18532), (18602) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18604) sum(n10, n6) = all_4_77
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18530), (18601) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18605) sum(n4, n1) = all_4_74
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (18605) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18606) all_4_74 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18603) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18607) all_4_73 = n0
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (18604) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18608) all_4_77 = n5
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18534), (18607) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18609) sum(n0, n10) = all_4_98
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18606), (18608) imply:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18610) sum(n5, n5) = all_4_99
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (18609) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18611) all_4_98 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18610) gives:
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18612) all_4_99 = n10
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | (18304), (18610), (18611), (18612) are
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.07 | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.07 | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | (18613) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | BETA: splitting (18524) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18614) all_4_101 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18614) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18615) pred(n4) = all_4_79
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18614) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18616) succ(n4) = all_4_75
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | simplifying with (191), (18616) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18617) all_4_75 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | simplifying with (222), (18615) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18618) all_4_79 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (18617) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18619) sum(all_4_76, n5) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18617), (18618) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18620) sum(n3, n5) = all_4_73
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (18618) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18621) sum(n3, all_4_78) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | simplifying with (44), (18620) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18622) all_4_73 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (18622) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18623) sum(n8, all_4_72) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (18613) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18624) all_4_100 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18624) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18625) pred(n4) = all_4_76
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18624) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18626) succ(n4) = all_4_78
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (18626) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18627) all_4_78 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (18625) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18628) all_4_76 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18627), (18628) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18629) sum(n3, n5) = all_4_72
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (18619), (18628) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18630) sum(n3, n5) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (18621), (18627) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18631) sum(n3, n5) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (18630) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18632) all_4_74 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (18629), (18630) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18633) all_4_72 = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (18629), (18631) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18634) all_4_72 = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18633), (18634) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18635) all_4_74 = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | SIMP: (18635) implies:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18636) all_4_74 = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18632), (18636) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18637) all_4_77 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18634), (18637) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18638) all_4_72 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18632), (18637) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18639) sum(n8, n8) = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18638) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18640) sum(n8, n8) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (102), (18640) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18641) all_4_98 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (18639), (18640) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18642) all_4_98 = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18641), (18642) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18643) all_4_99 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | SIMP: (18643) implies:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18644) all_4_99 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (90), (104), (126), (133), (134), (135), (136),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (17250), (18639), (18641), (18644) are
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18645) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18645) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18646) all_4_100 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18646) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18647) pred(n3) = all_4_76
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18646) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18648) succ(n3) = all_4_78
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18648) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18649) all_4_78 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18647) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18650) all_4_76 = n2
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18649), (18650) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18651) sum(n2, n4) = all_4_72
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18619), (18650) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18652) sum(n2, n5) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18621), (18649) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18653) sum(n3, n4) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18651) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18654) all_4_72 = n6
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (18652) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18655) all_4_74 = n7
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (18653) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18656) all_4_77 = n7
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18655), (18656) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18657) sum(n7, n7) = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18654) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18658) sum(n8, n6) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18657) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18659) all_4_99 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (100), (18658) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18660) all_4_98 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (17250), (18657), (18659), (18660) are
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18661) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18661) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18662) all_4_100 = n2
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18662) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18663) pred(n2) = all_4_76
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18662) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18664) succ(n2) = all_4_78
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18664) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18665) all_4_78 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18663) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18666) all_4_76 = n1
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18665), (18666) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18667) sum(n1, n3) = all_4_72
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18619), (18666) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18668) sum(n1, n5) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18621), (18665) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18669) sum(n3, n3) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18667) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18670) all_4_72 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (18668) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18671) all_4_74 = n6
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (18669) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18672) all_4_77 = n6
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18671), (18672) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18673) sum(n6, n6) = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18670) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18674) sum(n8, n4) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18673) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18675) all_4_99 = n1
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (18674) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18676) all_4_98 = n1
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18304), (18673), (18675), (18676) are
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18677) all_4_100 = n1 | all_4_100 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18677) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18678) all_4_100 = n1
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18678) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18679) pred(n1) = all_4_76
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18678) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18680) succ(n1) = all_4_78
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18680) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18681) all_4_78 = n2
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18679) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18682) all_4_76 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18681), (18682) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18683) sum(n0, n2) = all_4_72
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18619), (18682) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18684) sum(n0, n5) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18621), (18681) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18685) sum(n3, n2) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18683) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18686) all_4_72 = n2
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (18684) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18687) all_4_74 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (18685) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18688) all_4_77 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18687), (18688) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18689) sum(n5, n5) = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18686) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18690) sum(n8, n2) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18689) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18691) all_4_99 = n10
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (18690) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18692) all_4_98 = n10
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18304), (18689), (18691), (18692) are
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18693) all_4_100 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18693) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18694) pred(n0) = all_4_76
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18693) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18695) succ(n0) = all_4_78
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18695) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18696) all_4_78 = n1
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18694) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18697) all_4_76 = n10
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18696), (18697) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18698) sum(n10, n1) = all_4_72
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18619), (18697) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18699) sum(n10, n5) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18621), (18696) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18700) sum(n3, n1) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (18700) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18701) all_4_77 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18698) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18702) all_4_72 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (18699) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18703) all_4_74 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18701), (18703) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18704) sum(n4, n4) = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18702) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18705) sum(n8, n0) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18704) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18706) all_4_99 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (18705) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18707) all_4_98 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | (18304), (18704), (18706), (18707) are
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | (18708) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (18613) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18709) all_4_100 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18709) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18710) pred(n4) = all_4_76
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18709) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18711) succ(n4) = all_4_78
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (18711) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18712) all_4_78 = n5
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (18710) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18713) all_4_76 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (18713) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18714) sum(n3, all_4_75) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18712), (18713) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18715) sum(n3, n5) = all_4_72
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (18712) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18716) sum(all_4_79, n5) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (18715) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18717) all_4_72 = n8
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (18717) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | (18718) sum(all_4_73, n8) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18708) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18719) all_4_101 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18719) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18720) pred(n3) = all_4_79
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18719) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18721) succ(n3) = all_4_75
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18721) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18722) all_4_75 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18720) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18723) all_4_79 = n2
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18722), (18723) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18724) sum(n2, n4) = all_4_73
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18716), (18723) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18725) sum(n2, n5) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18714), (18722) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18726) sum(n3, n4) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18724) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18727) all_4_73 = n6
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (18725) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18728) all_4_77 = n7
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (18726) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18729) all_4_74 = n7
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18718), (18727) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18730) sum(n6, n8) = all_4_98
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18728), (18729) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18731) sum(n7, n7) = all_4_99
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (18730) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18732) all_4_98 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (18731) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18733) all_4_99 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (17250), (18731), (18732), (18733) are
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | (18734) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18734) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18735) all_4_101 = n2
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18735) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18736) pred(n2) = all_4_79
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18735) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18737) succ(n2) = all_4_75
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18737) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18738) all_4_75 = n3
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18736) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18739) all_4_79 = n1
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18738), (18739) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18740) sum(n1, n3) = all_4_73
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18716), (18739) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18741) sum(n1, n5) = all_4_77
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18714), (18738) imply:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18742) sum(n3, n3) = all_4_74
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18740) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18743) all_4_73 = n4
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (18741) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18744) all_4_77 = n6
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (18742) gives:
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | (18745) all_4_74 = n6
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18718), (18743) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18746) sum(n4, n8) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18744), (18745) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18747) sum(n6, n6) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (18746) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18748) all_4_98 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18747) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18749) all_4_99 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18304), (18747), (18748), (18749) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18750) all_4_101 = n1 | all_4_101 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18750) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18751) all_4_101 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18751) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18752) pred(n1) = all_4_79
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18751) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18753) succ(n1) = all_4_75
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18753) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18754) all_4_75 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18752) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18755) all_4_79 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18754), (18755) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18756) sum(n0, n2) = all_4_73
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18716), (18755) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18757) sum(n0, n5) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18714), (18754) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18758) sum(n3, n2) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18756) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18759) all_4_73 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (18757) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18760) all_4_77 = n5
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (18758) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18761) all_4_74 = n5
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18718), (18759) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18762) sum(n2, n8) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18760), (18761) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18763) sum(n5, n5) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (18762) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18764) all_4_98 = n10
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18763) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18765) all_4_99 = n10
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18304), (18763), (18764), (18765) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18766) all_4_101 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18766) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18767) pred(n0) = all_4_79
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18766) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18768) succ(n0) = all_4_75
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18768) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18769) all_4_75 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18767) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18770) all_4_79 = n10
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18769), (18770) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18771) sum(n10, n1) = all_4_73
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18716), (18770) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18772) sum(n10, n5) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18714), (18769) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18773) sum(n3, n1) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (18773) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18774) all_4_74 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18771) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18775) all_4_73 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (18772) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18776) all_4_77 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18718), (18775) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18777) sum(n0, n8) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18774), (18776) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18778) sum(n4, n4) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (18777) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18779) all_4_98 = n8
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18778) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18780) all_4_99 = n8
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18304), (18778), (18779), (18780) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | (18781) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18708) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18782) all_4_101 = n3
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18782) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18783) pred(n3) = all_4_79
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18782) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18784) succ(n3) = all_4_75
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18784) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18785) all_4_75 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18783) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18786) all_4_79 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (18785) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18787) sum(all_4_76, n4) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18785), (18786) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18788) sum(n2, n4) = all_4_73
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (18786) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18789) sum(n2, all_4_78) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18788) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18790) all_4_73 = n6
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (18790) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18791) sum(n6, all_4_72) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18781) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18792) all_4_100 = n3
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18792) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18793) pred(n3) = all_4_76
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18792) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18794) succ(n3) = all_4_78
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18794) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18795) all_4_78 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18793) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18796) all_4_76 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18795), (18796) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18797) sum(n2, n4) = all_4_72
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18787), (18796) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18798) sum(n2, n4) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18789), (18795) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18799) sum(n2, n4) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18798) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18800) all_4_74 = n6
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18797), (18798) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18801) all_4_72 = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18797), (18799) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18802) all_4_72 = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18801), (18802) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18803) all_4_74 = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18803) implies:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18804) all_4_74 = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18800), (18804) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18805) all_4_77 = n6
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18802), (18805) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18806) all_4_72 = n6
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18800), (18805) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18807) sum(n6, n6) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18791), (18806) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18808) sum(n6, n6) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (18808) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18809) all_4_98 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18807), (18808) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18810) all_4_98 = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18809), (18810) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18811) all_4_99 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18811) implies:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18812) all_4_99 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (90),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18304), (18807), (18809), (18812) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18813) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18813) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18814) all_4_100 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18814) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18815) pred(n2) = all_4_76
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18814) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18816) succ(n2) = all_4_78
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18816) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18817) all_4_78 = n3
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18815) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18818) all_4_76 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18817), (18818) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18819) sum(n1, n3) = all_4_72
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18787), (18818) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18820) sum(n1, n4) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18789), (18817) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18821) sum(n2, n3) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18819) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18822) all_4_72 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (18820) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18823) all_4_74 = n5
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (18821) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18824) all_4_77 = n5
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18823), (18824) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18825) sum(n5, n5) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18791), (18822) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18826) sum(n6, n4) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18825) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18827) all_4_99 = n10
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (18826) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18828) all_4_98 = n10
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18304), (18825), (18827), (18828) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | (18829) all_4_100 = n1 | all_4_100 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18829) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18830) all_4_100 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18830) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18831) pred(n1) = all_4_76
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18830) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18832) succ(n1) = all_4_78
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18832) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18833) all_4_78 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18831) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18834) all_4_76 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18833), (18834) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18835) sum(n0, n2) = all_4_72
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18787), (18834) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18836) sum(n0, n4) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18789), (18833) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18837) sum(n2, n2) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18835) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18838) all_4_72 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (18836) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18839) all_4_74 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (18837) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18840) all_4_77 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18839), (18840) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18841) sum(n4, n4) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18791), (18838) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18842) sum(n6, n2) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18841) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18843) all_4_99 = n8
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (18842) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18844) all_4_98 = n8
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18841), (18843), (18844) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18845) all_4_100 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18845) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18846) pred(n0) = all_4_76
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18845) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18847) succ(n0) = all_4_78
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18847) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18848) all_4_78 = n1
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18846) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18849) all_4_76 = n10
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18848), (18849) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18850) sum(n10, n1) = all_4_72
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18787), (18849) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18851) sum(n10, n4) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18789), (18848) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18852) sum(n2, n1) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (18852) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18853) all_4_77 = n3
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18850) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18854) all_4_72 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (18851) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18855) all_4_74 = n3
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18853), (18855) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18856) sum(n3, n3) = all_4_99
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18791), (18854) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18857) sum(n6, n0) = all_4_98
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (18856) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18858) all_4_99 = n6
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (18857) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18859) all_4_98 = n6
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18856), (18858), (18859) are
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | (18860) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18781) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18861) all_4_100 = n3
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18861) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18862) pred(n3) = all_4_76
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18861) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18863) succ(n3) = all_4_78
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (18863) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18864) all_4_78 = n4
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (18862) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18865) all_4_76 = n2
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (18865) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18866) sum(n2, all_4_75) = all_4_74
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18864), (18865) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18867) sum(n2, n4) = all_4_72
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (18864) imply:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18868) sum(all_4_79, n4) = all_4_77
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (18867) gives:
% 259.98/66.09 | | | | | | | | | | | | | | | | | | | | | | (18869) all_4_72 = n6
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (18869) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | (18870) sum(all_4_73, n6) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18860) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18871) all_4_101 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18871) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18872) pred(n2) = all_4_79
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18871) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18873) succ(n2) = all_4_75
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18873) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18874) all_4_75 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18872) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18875) all_4_79 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18874), (18875) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18876) sum(n1, n3) = all_4_73
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18868), (18875) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18877) sum(n1, n4) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18866), (18874) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18878) sum(n2, n3) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18876) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18879) all_4_73 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (18877) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18880) all_4_77 = n5
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (18878) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18881) all_4_74 = n5
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18870), (18879) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18882) sum(n4, n6) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18880), (18881) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18883) sum(n5, n5) = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (18882) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18884) all_4_98 = n10
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (18883) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18885) all_4_99 = n10
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18304), (18883), (18884), (18885) are
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18886) all_4_101 = n1 | all_4_101 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18886) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18887) all_4_101 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18887) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18888) pred(n1) = all_4_79
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18887) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18889) succ(n1) = all_4_75
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18889) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18890) all_4_75 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18888) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18891) all_4_79 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18890), (18891) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18892) sum(n0, n2) = all_4_73
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18868), (18891) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18893) sum(n0, n4) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18866), (18890) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18894) sum(n2, n2) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18892) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18895) all_4_73 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (18893) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18896) all_4_77 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (18894) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18897) all_4_74 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18870), (18895) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18898) sum(n2, n6) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18896), (18897) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18899) sum(n4, n4) = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (18898) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18900) all_4_98 = n8
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18899) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18901) all_4_99 = n8
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18899), (18900), (18901) are
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18902) all_4_101 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18902) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18903) pred(n0) = all_4_79
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18902) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18904) succ(n0) = all_4_75
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18904) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18905) all_4_75 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18903) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18906) all_4_79 = n10
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18905), (18906) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18907) sum(n10, n1) = all_4_73
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18868), (18906) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18908) sum(n10, n4) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18866), (18905) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18909) sum(n2, n1) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (18909) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18910) all_4_74 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18907) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18911) all_4_73 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (18908) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18912) all_4_77 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18870), (18911) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18913) sum(n0, n6) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18910), (18912) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18914) sum(n3, n3) = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (18913) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18915) all_4_98 = n6
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (18914) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18916) all_4_99 = n6
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18914), (18915), (18916) are
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | (18917) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18860) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18918) all_4_101 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18918) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18919) pred(n2) = all_4_79
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18918) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18920) succ(n2) = all_4_75
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18920) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18921) all_4_75 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18919) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18922) all_4_79 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (18921) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18923) sum(all_4_76, n3) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18921), (18922) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18924) sum(n1, n3) = all_4_73
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (18922) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18925) sum(n1, all_4_78) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18924) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18926) all_4_73 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (18926) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18927) sum(n4, all_4_72) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18917) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18928) all_4_100 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18928) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18929) pred(n2) = all_4_76
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18928) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18930) succ(n2) = all_4_78
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18930) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18931) all_4_78 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18929) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18932) all_4_76 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18931), (18932) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18933) sum(n1, n3) = all_4_72
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18923), (18932) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18934) sum(n1, n3) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18925), (18931) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18935) sum(n1, n3) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18934) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18936) all_4_74 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18933), (18934) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18937) all_4_72 = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18933), (18935) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18938) all_4_72 = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18937), (18938) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18939) all_4_74 = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18939) implies:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18940) all_4_74 = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18936), (18940) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18941) all_4_77 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18938), (18941) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18942) all_4_72 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18936), (18941) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18943) sum(n4, n4) = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18927), (18942) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18944) sum(n4, n4) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (18944) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18945) all_4_98 = n8
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18943), (18944) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18946) all_4_98 = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18945), (18946) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18947) all_4_99 = n8
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18947) implies:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18948) all_4_99 = n8
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (66), (68), (80),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18943), (18945), (18948) are
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18949) all_4_100 = n1 | all_4_100 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18949) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18950) all_4_100 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18950) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18951) pred(n1) = all_4_76
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18950) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18952) succ(n1) = all_4_78
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18952) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18953) all_4_78 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18951) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18954) all_4_76 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18953), (18954) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18955) sum(n0, n2) = all_4_72
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18923), (18954) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18956) sum(n0, n3) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18925), (18953) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18957) sum(n1, n2) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18955) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18958) all_4_72 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (18956) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18959) all_4_74 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (18957) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18960) all_4_77 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18959), (18960) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18961) sum(n3, n3) = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18927), (18958) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18962) sum(n4, n2) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (18961) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18963) all_4_99 = n6
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (18962) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18964) all_4_98 = n6
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18961), (18963), (18964) are
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18965) all_4_100 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18965) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18966) pred(n0) = all_4_76
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18965) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18967) succ(n0) = all_4_78
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (18967) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18968) all_4_78 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (18966) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18969) all_4_76 = n10
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18968), (18969) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18970) sum(n10, n1) = all_4_72
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18923), (18969) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18971) sum(n10, n3) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18925), (18968) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18972) sum(n1, n1) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (18972) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18973) all_4_77 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (18970) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18974) all_4_72 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (18971) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18975) all_4_74 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (18973), (18975) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18976) sum(n2, n2) = all_4_99
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18927), (18974) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18977) sum(n4, n0) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (18976) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18978) all_4_99 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (18977) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18979) all_4_98 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (18976), (18978), (18979) are
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | (18980) all_4_101 = n1 | all_4_101 = n0
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18917) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18981) all_4_100 = n2
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (18981) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18982) pred(n2) = all_4_76
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (18981) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18983) succ(n2) = all_4_78
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (18983) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18984) all_4_78 = n3
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (18982) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18985) all_4_76 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (18985) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18986) sum(n1, all_4_75) = all_4_74
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (18984), (18985) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18987) sum(n1, n3) = all_4_72
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (18984) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18988) sum(all_4_79, n3) = all_4_77
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (18987) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18989) all_4_72 = n4
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (18989) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | (18990) sum(all_4_73, n4) = all_4_98
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18980) gives:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18991) all_4_101 = n1
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (18991) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18992) pred(n1) = all_4_79
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (18991) imply:
% 259.98/66.10 | | | | | | | | | | | | | | | | | | | | | | | | | (18993) succ(n1) = all_4_75
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (18993) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18994) all_4_75 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (18992) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18995) all_4_79 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18994), (18995) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18996) sum(n0, n2) = all_4_73
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18988), (18995) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18997) sum(n0, n3) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18986), (18994) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18998) sum(n1, n2) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (18996) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18999) all_4_73 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (18997) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19000) all_4_77 = n3
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (18998) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19001) all_4_74 = n3
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18990), (18999) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19002) sum(n2, n4) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19000), (19001) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19003) sum(n3, n3) = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19002) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19004) all_4_98 = n6
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19003) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19005) all_4_99 = n6
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (80),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (19003), (19004), (19005) are
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19006) all_4_101 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19006) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19007) pred(n0) = all_4_79
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19006) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19008) succ(n0) = all_4_75
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19008) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19009) all_4_75 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19007) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19010) all_4_79 = n10
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19009), (19010) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19011) sum(n10, n1) = all_4_73
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18988), (19010) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19012) sum(n10, n3) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18986), (19009) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19013) sum(n1, n1) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19013) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19014) all_4_74 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19011) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19015) all_4_73 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (19012) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19016) all_4_77 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18990), (19015) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19017) sum(n0, n4) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19014), (19016) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19018) sum(n2, n2) = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (19017) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19019) all_4_98 = n4
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19018) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19020) all_4_99 = n4
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (19018), (19019), (19020) are
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | (19021) all_4_100 = n1 | all_4_100 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18980) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19022) all_4_101 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19022) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19023) pred(n1) = all_4_79
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19022) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19024) succ(n1) = all_4_75
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19024) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19025) all_4_75 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19023) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19026) all_4_79 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19025) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19027) sum(all_4_76, n2) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19025), (19026) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19028) sum(n0, n2) = all_4_73
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19026) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19029) sum(n0, all_4_78) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19028) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19030) all_4_73 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19030) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19031) sum(n2, all_4_72) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19021) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19032) all_4_100 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19032) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19033) pred(n1) = all_4_76
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19032) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19034) succ(n1) = all_4_78
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19034) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19035) all_4_78 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19033) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19036) all_4_76 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19035), (19036) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19037) sum(n0, n2) = all_4_72
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19027), (19036) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19038) sum(n0, n2) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19029), (19035) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19039) sum(n0, n2) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19038) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19040) all_4_74 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19037), (19038) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19041) all_4_72 = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19037), (19039) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19042) all_4_72 = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19041), (19042) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19043) all_4_74 = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19043) implies:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19044) all_4_74 = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19040), (19044) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19045) all_4_77 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19042), (19045) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19046) all_4_72 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19040), (19045) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19047) sum(n2, n2) = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19031), (19046) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19048) sum(n2, n2) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19048) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19049) all_4_98 = n4
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19047), (19048) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19050) all_4_98 = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19049), (19050) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19051) all_4_99 = n4
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19051) implies:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19052) all_4_99 = n4
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (32), (44), (56), (78), (90),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (188), (190),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (219),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (227), (231), (232), (233),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (19047), (19049), (19052) are
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19053) all_4_100 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19053) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19054) pred(n0) = all_4_76
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19053) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19055) succ(n0) = all_4_78
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19055) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19056) all_4_78 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19054) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19057) all_4_76 = n10
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19056), (19057) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19058) sum(n10, n1) = all_4_72
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19027), (19057) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19059) sum(n10, n2) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19029), (19056) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19060) sum(n0, n1) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (19060) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19061) all_4_77 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19058) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19062) all_4_72 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (19059) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19063) all_4_74 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19061), (19063) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19064) sum(n1, n1) = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19031), (19062) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19065) sum(n2, n0) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19064) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19066) all_4_99 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (19065) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19067) all_4_98 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (19064), (19066), (19067) are
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19068) all_4_101 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19068) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19069) pred(n0) = all_4_79
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19068) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19070) succ(n0) = all_4_75
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19070) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19071) all_4_75 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19069) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19072) all_4_79 = n10
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19071) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19073) sum(all_4_76, n1) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19071), (19072) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19074) sum(n10, n1) = all_4_73
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19072) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19075) sum(n10, all_4_78) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19074) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19076) all_4_73 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19076) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | (19077) sum(n0, all_4_72) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19021) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19078) all_4_100 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19078) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19079) pred(n1) = all_4_76
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19078) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19080) succ(n1) = all_4_78
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19080) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19081) all_4_78 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19079) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19082) all_4_76 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19081), (19082) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19083) sum(n0, n2) = all_4_72
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19073), (19082) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19084) sum(n0, n1) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19075), (19081) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19085) sum(n10, n2) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n1, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (19084) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19086) all_4_74 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19083) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19087) all_4_72 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n2, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (19085) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19088) all_4_77 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19086), (19088) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19089) sum(n1, n1) = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19077), (19087) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19090) sum(n0, n2) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n2, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19090) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19091) all_4_98 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19089) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19092) all_4_99 = n2
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (68), (80),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (92), (105), (114), (133), (134), (135), (136),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (189), (193),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (197), (200), (201), (202), (203),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (208), (209), (220),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (231), (232), (233),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (18304), (19089), (19091), (19092) are
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19093) all_4_100 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19093) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19094) pred(n0) = all_4_76
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19093) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19095) succ(n0) = all_4_78
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19095) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19096) all_4_78 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19094) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19097) all_4_76 = n10
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19096), (19097) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19098) sum(n10, n1) = all_4_72
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19073), (19097) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19099) sum(n10, n1) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19075), (19096) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19100) sum(n10, n1) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n1, n10,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19099) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19101) all_4_74 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (19098), (19099) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19102) all_4_72 = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n1,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (19098), (19100) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19103) all_4_72 = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19102), (19103) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19104) all_4_74 = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19104) implies:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19105) all_4_74 = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19101), (19105) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19106) all_4_77 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19103), (19106) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19107) all_4_72 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19101), (19106) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19108) sum(n0, n0) = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19077), (19107) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19109) sum(n0, n0) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n0, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (19109) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19110) all_4_98 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n0, n0,
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19108), (19109) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19111) all_4_98 = all_4_99
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19110), (19111) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19112) all_4_99 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19112) implies:
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19113) all_4_99 = n0
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (157),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (161), (162), (187), (200),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (206), (207),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (218), (231), (232), (233), (234),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (18304),
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (19108), (19110), (19113) are inconsistent by
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | End of split
% 259.98/66.11 | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | Case 2:
% 259.98/66.11 | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | (19114) ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 259.98/66.11 | | | | | | | | | | | | | | | all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 259.98/66.11 | | | | | | | | | | | | | | | (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 259.98/66.11 | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | BETA: splitting (17802) gives:
% 259.98/66.11 | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | Case 1:
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | (19115) all_4_100 = n6
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | REDUCE: (230), (19115) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19116) pred(n6) = all_4_76
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | REDUCE: (199), (19115) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19117) succ(n6) = all_4_78
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_78, n6,
% 259.98/66.11 | | | | | | | | | | | | | | | | simplifying with (193), (19117) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19118) all_4_78 = n7
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_76, n6,
% 259.98/66.11 | | | | | | | | | | | | | | | | simplifying with (224), (19116) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19119) all_4_76 = n5
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | REDUCE: (131), (19119) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19120) sum(n5, all_4_75) = all_4_74
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | REDUCE: (130), (19118), (19119) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19121) sum(n5, n7) = all_4_72
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | REDUCE: (127), (19118) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19122) sum(all_4_79, n7) = all_4_77
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_72, n7, n5,
% 259.98/66.11 | | | | | | | | | | | | | | | | simplifying with (68), (19121) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19123) all_4_72 = n1
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | REDUCE: (132), (19123) imply:
% 259.98/66.11 | | | | | | | | | | | | | | | | (19124) sum(all_4_73, n1) = all_4_98
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | BETA: splitting (18303) gives:
% 259.98/66.11 | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.11 | | | | | | | | | | | | | | | | |
% 259.98/66.11 | | | | | | | | | | | | | | | | | (19125) all_4_101 = n5
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (229), (19125) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19126) pred(n5) = all_4_79
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (198), (19125) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19127) succ(n5) = all_4_75
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (192), (19127) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19128) all_4_75 = n6
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (223), (19126) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19129) all_4_79 = n4
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (128), (19128), (19129) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19130) sum(n4, n6) = all_4_73
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (19122), (19129) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19131) sum(n4, n7) = all_4_77
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (19120), (19128) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19132) sum(n5, n6) = all_4_74
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (56), (19130) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19133) all_4_73 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_77, n7, n4,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (57), (19131) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19134) all_4_77 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n6, n5,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (67), (19132) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19135) all_4_74 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (19124), (19133) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19136) sum(n10, n1) = all_4_98
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (129), (19134), (19135) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19137) sum(n0, n0) = all_4_99
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_99, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (6), (19137) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19138) all_4_99 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n1, n10,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (117), (19136) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19139) all_4_98 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (232), (19139) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19140) pred(n0) = all_4_68
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (231), (19138) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19141) pred(n0) = all_4_71
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (201), (19139) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19142) succ(n0) = all_4_70
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (200), (19138) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19143) succ(n0) = all_4_67
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_67, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (187), (19143) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19144) all_4_67 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19142), (19143) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19145) all_4_67 = all_4_70
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_68, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (218), (19140) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19146) all_4_68 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19140), (19141) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19147) all_4_68 = all_4_71
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19144), (19145) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19148) all_4_70 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19148) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19149) all_4_70 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19146), (19147) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19150) all_4_71 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (137), (19144), (19146) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19151) sum(n10, n1) = all_4_66
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (136), (19146), (19149) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19152) sum(n10, n1) = all_4_64
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (134), (19144), (19150) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19153) sum(n10, n1) = all_4_65
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (133), (19149), (19150) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19154) sum(n10, n1) = all_4_69
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_65, n1, n10,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (117), (19153) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19155) all_4_65 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19151), (19153) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19156) all_4_65 = all_4_66
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19151), (19152) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19157) all_4_64 = all_4_66
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19152), (19154) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19158) all_4_64 = all_4_69
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19157), (19158) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19159) all_4_66 = all_4_69
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19159) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19160) all_4_66 = all_4_69
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19155), (19156) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19161) all_4_66 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19161) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19162) all_4_66 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19160), (19162) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19163) all_4_69 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19158), (19163) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19164) all_4_64 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (138), (19155), (19164) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19165) sum(n0, n0) = all_4_96
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (135), (19162), (19163) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19166) sum(n0, n0) = all_4_97
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_96, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (6), (19165) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19167) all_4_96 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19165), (19166) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19168) all_4_96 = all_4_97
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19167), (19168) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19169) all_4_97 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (234), (19167) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19170) pred(n0) = all_4_60
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (233), (19169) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19171) pred(n0) = all_4_63
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (203), (19167) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19172) succ(n0) = all_4_62
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (202), (19169) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19173) succ(n0) = all_4_59
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_59, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (187), (19173) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19174) all_4_59 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19172), (19173) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19175) all_4_59 = all_4_62
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_60, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (218), (19170) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19176) all_4_60 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19170), (19171) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19177) all_4_60 = all_4_63
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19174), (19175) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19178) all_4_62 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19178) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19179) all_4_62 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19176), (19177) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19180) all_4_63 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (143), (19174), (19176) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19181) sum(n10, n1) = all_4_58
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (142), (19176), (19179) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19182) sum(n10, n1) = all_4_56
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (140), (19174), (19180) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19183) sum(n10, n1) = all_4_57
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (139), (19179), (19180) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19184) sum(n10, n1) = all_4_61
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_58, n1, n10,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (117), (19181) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19185) all_4_58 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19181), (19183) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19186) all_4_57 = all_4_58
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19182), (19183) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19187) all_4_56 = all_4_57
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19182), (19184) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19188) all_4_56 = all_4_61
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19187), (19188) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19189) all_4_57 = all_4_61
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19189) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19190) all_4_57 = all_4_61
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19186), (19190) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19191) all_4_58 = all_4_61
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19191) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19192) all_4_58 = all_4_61
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19185), (19192) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19193) all_4_61 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19190), (19193) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19194) all_4_57 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19188), (19193) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19195) all_4_56 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (144), (19194), (19195) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19196) sum(n0, n0) = all_4_94
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (141), (19185), (19193) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19197) sum(n0, n0) = all_4_95
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_94, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (6), (19196) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19198) all_4_94 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19196), (19197) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19199) all_4_94 = all_4_95
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19198), (19199) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19200) all_4_95 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (236), (19198) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19201) pred(n0) = all_4_52
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (235), (19200) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19202) pred(n0) = all_4_55
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (205), (19198) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19203) succ(n0) = all_4_54
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (204), (19200) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19204) succ(n0) = all_4_51
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_51, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (187), (19204) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19205) all_4_51 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_54, all_4_51, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19203), (19204) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19206) all_4_51 = all_4_54
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_52, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (218), (19201) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19207) all_4_52 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19201), (19202) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19208) all_4_52 = all_4_55
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19205), (19206) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19209) all_4_54 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19209) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19210) all_4_54 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19207), (19208) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19211) all_4_55 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (149), (19205), (19207) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19212) sum(n10, n1) = all_4_50
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (148), (19207), (19210) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19213) sum(n10, n1) = all_4_48
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (146), (19205), (19211) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19214) sum(n10, n1) = all_4_49
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (145), (19210), (19211) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19215) sum(n10, n1) = all_4_53
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_50, n1, n10,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (117), (19212) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19216) all_4_50 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_49, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19212), (19214) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19217) all_4_49 = all_4_50
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19213), (19214) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19218) all_4_48 = all_4_49
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_48, n1,
% 259.98/66.12 | | | | | | | | | | | | | | | | | n10, simplifying with (19213), (19215) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19219) all_4_48 = all_4_53
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19218), (19219) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19220) all_4_49 = all_4_53
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19220) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19221) all_4_49 = all_4_53
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19217), (19221) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19222) all_4_50 = all_4_53
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19222) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19223) all_4_50 = all_4_53
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19216), (19223) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19224) all_4_53 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19221), (19224) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19225) all_4_49 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19219), (19224) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19226) all_4_48 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (150), (19225), (19226) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19227) sum(n0, n0) = all_4_92
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (147), (19216), (19224) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19228) sum(n0, n0) = all_4_93
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_92, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (6), (19227) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19229) all_4_92 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_93, all_4_92, n0, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | simplifying with (19227), (19228) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19230) all_4_92 = all_4_93
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (19229), (19230) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19231) all_4_93 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | SIMP: (19231) implies:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19232) all_4_93 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (238), (19229) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19233) pred(n0) = all_4_44
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (237), (19232) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19234) pred(n0) = all_4_47
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (207), (19229) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19235) succ(n0) = all_4_46
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | REDUCE: (206), (19232) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19236) succ(n0) = all_4_43
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | BETA: splitting (19114) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19237) ~ (all_4_90 = all_4_91)
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_43, n0,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | simplifying with (187), (19236) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19238) all_4_43 = n1
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (117), (151), (152), (153),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (154), (155), (156), (218), (19233), (19234),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19235), (19236), (19237), (19238) are
% 259.98/66.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19239) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 259.98/66.12 | | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (117), (133), (134), (135),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (136), (137), (138), (145), (146), (147), (148),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (149), (150), (187), (218), (19138), (19139),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19140), (19141), (19142), (19143), (19198),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19200), (19201), (19202), (19203), (19204),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19239) are inconsistent by sub-proof #40.
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | End of split
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | (19240) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 259.98/66.12 | | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | BETA: splitting (19114) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | (19241) ~ (all_4_90 = all_4_91)
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | BETA: splitting (19240) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | Case 1:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19242) all_4_101 = n4
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19242) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19243) pred(n4) = all_4_79
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19242) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19244) succ(n4) = all_4_75
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (191), (19244) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19245) all_4_75 = n5
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (222), (19243) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19246) all_4_79 = n3
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19245), (19246) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19247) sum(n3, n5) = all_4_73
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (19122), (19246) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19248) sum(n3, n7) = all_4_77
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (19120), (19245) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19249) sum(n5, n5) = all_4_74
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (44), (19247) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19250) all_4_73 = n8
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (46), (19248) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19251) all_4_77 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (66), (19249) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19252) all_4_74 = n10
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (19124), (19250) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19253) sum(n8, n1) = all_4_98
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19251), (19252) imply:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19254) sum(n10, n10) = all_4_99
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (95), (19253) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19255) all_4_98 = n9
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (126), (19254) gives:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19256) all_4_99 = n9
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (238), (19241), (19255), (19256) are inconsistent
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | Case 2:
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | (19257) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 259.98/66.12 | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 259.98/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (7), (8), (13), (18), (20), (24),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (29), (30), (32), (35), (42), (44), (51), (54),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (56), (62), (63), (64), (65), (66), (68), (73),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (78), (80), (90), (92), (102), (104), (114),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (117), (123), (126), (128), (129), (133), (134),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (149), (150), (151), (152), (153), (154), (155),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (156), (187), (188), (189), (190), (191), (192),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (198), (200), (201),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (218),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (226), (227), (229), (231), (232), (233), (234),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (19114), (19120),
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19122), (19124), (19257) are inconsistent by
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.12 | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.12 | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | (19258) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.20/66.12 | | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.20/66.12 | | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 260.20/66.12 | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | BETA: splitting (19240) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19259) all_4_101 = n4
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19259) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19260) pred(n4) = all_4_79
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19259) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19261) succ(n4) = all_4_75
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (191), (19261) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19262) all_4_75 = n5
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (222), (19260) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19263) all_4_79 = n3
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19262), (19263) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19264) sum(n3, n5) = all_4_73
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (19122), (19263) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19265) sum(n3, n7) = all_4_77
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (19120), (19262) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19266) sum(n5, n5) = all_4_74
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (44), (19264) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19267) all_4_73 = n8
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_77, n7, n3,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (46), (19265) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19268) all_4_77 = n10
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n5, n5,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (66), (19266) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19269) all_4_74 = n10
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (19124), (19267) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19270) sum(n8, n1) = all_4_98
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19268), (19269) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19271) sum(n10, n10) = all_4_99
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n1, n8,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (95), (19270) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19272) all_4_98 = n9
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_99, n10, n10,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (126), (19271) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19273) all_4_99 = n9
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (232), (19272) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19274) pred(n9) = all_4_68
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (231), (19273) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19275) pred(n9) = all_4_71
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (19272) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19276) succ(n9) = all_4_70
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (200), (19273) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19277) succ(n9) = all_4_67
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_67, n9,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (196), (19277) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19278) all_4_67 = n10
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n9,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (19276), (19277) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19279) all_4_67 = all_4_70
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_68, n9,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (227), (19274) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19280) all_4_68 = n8
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n9,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (19274), (19275) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19281) all_4_68 = all_4_71
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19278), (19279) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19282) all_4_70 = n10
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | SIMP: (19282) implies:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19283) all_4_70 = n10
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19280), (19281) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19284) all_4_71 = n8
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (137), (19278), (19280) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19285) sum(n8, n10) = all_4_66
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (19280), (19283) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19286) sum(n8, n10) = all_4_64
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (19278), (19284) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19287) sum(n8, n10) = all_4_65
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (19283), (19284) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19288) sum(n8, n10) = all_4_69
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_65, n10, n8,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | simplifying with (104), (19287) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19289) all_4_65 = n7
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n10,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | n8, simplifying with (19285), (19287) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19290) all_4_65 = all_4_66
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n10,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | n8, simplifying with (19285), (19286) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19291) all_4_64 = all_4_66
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n10,
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | n8, simplifying with (19286), (19288) gives:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19292) all_4_64 = all_4_69
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19291), (19292) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19293) all_4_66 = all_4_69
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | SIMP: (19293) implies:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19294) all_4_66 = all_4_69
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19289), (19290) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19295) all_4_66 = n7
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | SIMP: (19295) implies:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19296) all_4_66 = n7
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19294), (19296) imply:
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | (19297) all_4_69 = n7
% 260.20/66.12 | | | | | | | | | | | | | | | | | | |
% 260.20/66.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19292), (19297) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19298) all_4_64 = n7
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (138), (19289), (19298) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19299) sum(n7, n7) = all_4_96
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (19296), (19297) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19300) sum(n7, n7) = all_4_97
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_96, n7, n7,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (90), (19299) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19301) all_4_96 = n3
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n7, n7,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19299), (19300) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19302) all_4_96 = all_4_97
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19301), (19302) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19303) all_4_97 = n3
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (234), (19301) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19304) pred(n3) = all_4_60
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (233), (19303) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19305) pred(n3) = all_4_63
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (203), (19301) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19306) succ(n3) = all_4_62
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (202), (19303) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19307) succ(n3) = all_4_59
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_59, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (190), (19307) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19308) all_4_59 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19306), (19307) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19309) all_4_59 = all_4_62
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_60, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (221), (19304) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19310) all_4_60 = n2
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19304), (19305) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19311) all_4_60 = all_4_63
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19308), (19309) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19312) all_4_62 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19312) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19313) all_4_62 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19310), (19311) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19314) all_4_63 = n2
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (143), (19308), (19310) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19315) sum(n2, n4) = all_4_58
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (142), (19310), (19313) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19316) sum(n2, n4) = all_4_56
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (19308), (19314) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19317) sum(n2, n4) = all_4_57
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (19313), (19314) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19318) sum(n2, n4) = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_58, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (32), (19315) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19319) all_4_58 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19315), (19317) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19320) all_4_57 = all_4_58
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19316), (19317) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19321) all_4_56 = all_4_57
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19316), (19318) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19322) all_4_56 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19321), (19322) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19323) all_4_57 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19323) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19324) all_4_57 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19320), (19324) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19325) all_4_58 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19325) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19326) all_4_58 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19319), (19326) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19327) all_4_61 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19324), (19327) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19328) all_4_57 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19322), (19327) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19329) all_4_56 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (19328), (19329) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19330) sum(n6, n6) = all_4_94
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (19319), (19327) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19331) sum(n6, n6) = all_4_95
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_94, n6, n6,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (78), (19330) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19332) all_4_94 = n1
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n6, n6,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19330), (19331) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19333) all_4_94 = all_4_95
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19332), (19333) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19334) all_4_95 = n1
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (236), (19332) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19335) pred(n1) = all_4_52
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (235), (19334) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19336) pred(n1) = all_4_55
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (205), (19332) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19337) succ(n1) = all_4_54
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (204), (19334) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19338) succ(n1) = all_4_51
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (19258) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (19339) ~ (all_4_92 = all_4_93)
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_51, n1,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19338) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (19340) all_4_51 = n2
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (145), (146), (147),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (148), (149), (150), (219), (19335), (19336),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (19337), (19338), (19339), (19340) are
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (19341) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (139), (140), (141),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (190), (221), (19272),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (19273), (19301), (19303), (19304), (19305),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | (19306), (19307), (19341) are inconsistent by
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19342) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (7), (8), (13), (18), (20), (24),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (29), (30), (32), (35), (42), (44), (51), (54),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (56), (62), (63), (64), (65), (66), (68), (73),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (78), (80), (90), (92), (102), (104), (114),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (117), (123), (126), (128), (129), (133), (134),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (149), (150), (151), (152), (153), (154), (155),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (156), (187), (188), (189), (190), (191), (192),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (198), (200), (201),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (206), (207), (218),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (226), (227), (229), (231), (232), (233), (234),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (19114), (19120),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19122), (19124), (19342) are inconsistent by
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | End of split
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | End of split
% 260.20/66.13 | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | Case 2:
% 260.20/66.13 | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | (19343) all_4_100 = n5 | all_4_100 = n4 | all_4_100 = n3 |
% 260.20/66.13 | | | | | | | | | | | | | | | | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.13 | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | BETA: splitting (18303) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19344) all_4_101 = n5
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | REDUCE: (229), (19344) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19345) pred(n5) = all_4_79
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | REDUCE: (198), (19344) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19346) succ(n5) = all_4_75
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_75, n5,
% 260.20/66.13 | | | | | | | | | | | | | | | | | simplifying with (192), (19346) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19347) all_4_75 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_79, n5,
% 260.20/66.13 | | | | | | | | | | | | | | | | | simplifying with (223), (19345) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19348) all_4_79 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | REDUCE: (131), (19347) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19349) sum(all_4_76, n6) = all_4_74
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | REDUCE: (128), (19347), (19348) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19350) sum(n4, n6) = all_4_73
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | REDUCE: (127), (19348) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19351) sum(n4, all_4_78) = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_73, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | simplifying with (56), (19350) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19352) all_4_73 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | REDUCE: (132), (19352) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | (19353) sum(n10, all_4_72) = all_4_98
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | BETA: splitting (19114) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | (19354) ~ (all_4_90 = all_4_91)
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | BETA: splitting (19343) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19355) all_4_100 = n5
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19355) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19356) pred(n5) = all_4_76
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19355) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19357) succ(n5) = all_4_78
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (192), (19357) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19358) all_4_78 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (223), (19356) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19359) all_4_76 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19358), (19359) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19360) sum(n4, n6) = all_4_72
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (19349), (19359) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19361) sum(n4, n6) = all_4_74
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (19351), (19358) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19362) sum(n4, n6) = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (56), (19361) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19363) all_4_74 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19360), (19361) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19364) all_4_72 = all_4_74
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19360), (19362) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19365) all_4_72 = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19364), (19365) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19366) all_4_74 = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19366) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19367) all_4_74 = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19363), (19367) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19368) all_4_77 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19365), (19368) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19369) all_4_72 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19363), (19368) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19370) sum(n10, n10) = all_4_99
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (19353), (19369) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19371) sum(n10, n10) = all_4_98
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (126), (19371) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19372) all_4_98 = n9
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | n10, simplifying with (19370), (19371) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19373) all_4_98 = all_4_99
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19372), (19373) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19374) all_4_99 = n9
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19374) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19375) all_4_99 = n9
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (90),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (102), (104), (133), (134), (135), (136), (137),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (191), (196), (200), (201), (202), (203), (204),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (227),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (238), (19354), (19372), (19375) are inconsistent
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | by sub-proof #117.
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19376) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (12), (18), (20), (23), (30),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (32), (34), (42), (44), (45), (51), (52), (53),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (54), (55), (56), (66), (68), (78), (80), (90),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (92), (102), (104), (105), (114), (116), (117),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (118), (120), (122), (124), (126), (129), (130),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (154), (155), (156), (187), (188), (189), (190),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (191), (192), (193), (194), (195), (196), (197),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (206), (207), (218), (219), (220), (221), (222),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (238), (19114), (19349), (19351), (19353), (19376)
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | (19377) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.20/66.13 | | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.20/66.13 | | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | BETA: splitting (19343) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19378) all_4_100 = n5
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19378) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19379) pred(n5) = all_4_76
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19378) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19380) succ(n5) = all_4_78
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (192), (19380) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19381) all_4_78 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (223), (19379) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19382) all_4_76 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19381), (19382) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19383) sum(n4, n6) = all_4_72
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (19349), (19382) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19384) sum(n4, n6) = all_4_74
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (19351), (19381) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19385) sum(n4, n6) = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_74, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (56), (19384) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19386) all_4_74 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19383), (19384) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19387) all_4_72 = all_4_74
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n6, n4,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19383), (19385) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19388) all_4_72 = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19387), (19388) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19389) all_4_74 = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19389) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19390) all_4_74 = all_4_77
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19386), (19390) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19391) all_4_77 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19388), (19391) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19392) all_4_72 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19386), (19391) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19393) sum(n10, n10) = all_4_99
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (19353), (19392) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19394) sum(n10, n10) = all_4_98
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_98, n10, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (126), (19394) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19395) all_4_98 = n9
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | n10, simplifying with (19393), (19394) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19396) all_4_98 = all_4_99
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19395), (19396) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19397) all_4_99 = n9
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19397) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19398) all_4_99 = n9
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (232), (19395) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19399) pred(n9) = all_4_68
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (231), (19398) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19400) pred(n9) = all_4_71
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (19395) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19401) succ(n9) = all_4_70
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (200), (19398) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19402) succ(n9) = all_4_67
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_67, n9,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (196), (19402) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19403) all_4_67 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n9,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19401), (19402) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19404) all_4_67 = all_4_70
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_68, n9,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (227), (19399) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19405) all_4_68 = n8
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n9,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19399), (19400) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19406) all_4_68 = all_4_71
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19403), (19404) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19407) all_4_70 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19407) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19408) all_4_70 = n10
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19405), (19406) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19409) all_4_71 = n8
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (137), (19403), (19405) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19410) sum(n8, n10) = all_4_66
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (19405), (19408) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19411) sum(n8, n10) = all_4_64
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (19403), (19409) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19412) sum(n8, n10) = all_4_65
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (19408), (19409) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19413) sum(n8, n10) = all_4_69
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_65, n10, n8,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (104), (19412) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19414) all_4_65 = n7
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | n8, simplifying with (19410), (19412) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19415) all_4_65 = all_4_66
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | n8, simplifying with (19410), (19411) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19416) all_4_64 = all_4_66
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n10,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | n8, simplifying with (19411), (19413) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19417) all_4_64 = all_4_69
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19416), (19417) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19418) all_4_66 = all_4_69
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19418) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19419) all_4_66 = all_4_69
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19414), (19415) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19420) all_4_66 = n7
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19420) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19421) all_4_66 = n7
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19419), (19421) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19422) all_4_69 = n7
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19417), (19422) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19423) all_4_64 = n7
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (138), (19414), (19423) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19424) sum(n7, n7) = all_4_96
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (19421), (19422) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19425) sum(n7, n7) = all_4_97
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_96, n7, n7,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (90), (19424) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19426) all_4_96 = n3
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n7, n7,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19424), (19425) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19427) all_4_96 = all_4_97
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19426), (19427) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19428) all_4_97 = n3
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (234), (19426) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19429) pred(n3) = all_4_60
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (233), (19428) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19430) pred(n3) = all_4_63
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (203), (19426) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19431) succ(n3) = all_4_62
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (202), (19428) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19432) succ(n3) = all_4_59
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_59, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (190), (19432) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19433) all_4_59 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19431), (19432) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19434) all_4_59 = all_4_62
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_60, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (221), (19429) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19435) all_4_60 = n2
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n3,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19429), (19430) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19436) all_4_60 = all_4_63
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19433), (19434) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19437) all_4_62 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19437) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19438) all_4_62 = n4
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19435), (19436) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19439) all_4_63 = n2
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (143), (19433), (19435) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19440) sum(n2, n4) = all_4_58
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (142), (19435), (19438) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19441) sum(n2, n4) = all_4_56
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (19433), (19439) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19442) sum(n2, n4) = all_4_57
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (19438), (19439) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19443) sum(n2, n4) = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_58, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (32), (19440) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19444) all_4_58 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19440), (19442) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19445) all_4_57 = all_4_58
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19441), (19442) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19446) all_4_56 = all_4_57
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n4, n2,
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | simplifying with (19441), (19443) gives:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19447) all_4_56 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19446), (19447) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19448) all_4_57 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19448) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19449) all_4_57 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19445), (19449) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19450) all_4_58 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | SIMP: (19450) implies:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19451) all_4_58 = all_4_61
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19444), (19451) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19452) all_4_61 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19449), (19452) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19453) all_4_57 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19447), (19452) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19454) all_4_56 = n6
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (19453), (19454) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19455) sum(n6, n6) = all_4_94
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (19444), (19452) imply:
% 260.20/66.13 | | | | | | | | | | | | | | | | | | | (19456) sum(n6, n6) = all_4_95
% 260.20/66.13 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_94, n6, n6,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | simplifying with (78), (19455) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19457) all_4_94 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_95, all_4_94, n6, n6,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | simplifying with (19455), (19456) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19458) all_4_94 = all_4_95
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19457), (19458) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19459) all_4_95 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (236), (19457) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19460) pred(n1) = all_4_52
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (235), (19459) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19461) pred(n1) = all_4_55
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (205), (19457) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19462) succ(n1) = all_4_54
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (204), (19459) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19463) succ(n1) = all_4_51
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (19377) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19464) ~ (all_4_92 = all_4_93)
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_51, n1,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19463) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19465) all_4_51 = n2
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (145), (146), (147),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (148), (149), (150), (219), (19460), (19461),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19462), (19463), (19464), (19465) are
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19466) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (78), (139), (140), (141),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (190), (221), (19395),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19398), (19426), (19428), (19429), (19430),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19431), (19432), (19466) are inconsistent by
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19467) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (12), (18), (20), (23), (30),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (32), (34), (42), (44), (45), (51), (52), (53),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (54), (55), (56), (66), (68), (78), (80), (90),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (92), (102), (104), (105), (114), (116), (117),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (118), (120), (122), (124), (126), (129), (130),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (151), (152), (153),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (154), (155), (156), (187), (188), (189), (190),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (191), (192), (193), (194), (195), (196), (197),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (206), (207), (218), (219), (220), (221), (222),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (238), (19114), (19349), (19351), (19353), (19467)
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | (19468) all_4_101 = n4 | all_4_101 = n3 | all_4_101 = n2 |
% 260.20/66.14 | | | | | | | | | | | | | | | | | all_4_101 = n1 | all_4_101 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | BETA: splitting (19114) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | (19469) ~ (all_4_90 = all_4_91)
% 260.20/66.14 | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | BETA: splitting (19343) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19470) all_4_100 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19470) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19471) pred(n5) = all_4_76
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19470) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19472) succ(n5) = all_4_78
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | simplifying with (192), (19472) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19473) all_4_78 = n6
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | simplifying with (223), (19471) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19474) all_4_76 = n4
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19474) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19475) sum(n4, all_4_75) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19473), (19474) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19476) sum(n4, n6) = all_4_72
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19473) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19477) sum(all_4_79, n6) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | simplifying with (56), (19476) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19478) all_4_72 = n10
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19478) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19479) sum(all_4_73, n10) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (19468) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19480) all_4_101 = n4
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19480) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19481) pred(n4) = all_4_79
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19480) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19482) succ(n4) = all_4_75
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (19482) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19483) all_4_75 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (19481) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19484) all_4_79 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19483), (19484) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19485) sum(n3, n5) = all_4_73
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (19477), (19484) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19486) sum(n3, n6) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (19475), (19483) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19487) sum(n4, n5) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (19485) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19488) all_4_73 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (45), (19486) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19489) all_4_77 = n9
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (55), (19487) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19490) all_4_74 = n9
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (19479), (19488) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19491) sum(n8, n10) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19489), (19490) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19492) sum(n9, n9) = all_4_99
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (104), (19491) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19493) all_4_98 = n7
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (114), (19492) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19494) all_4_99 = n7
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (66), (68),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (80), (92), (133), (134), (135), (136), (137),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (194), (195), (200), (201), (202), (203), (204),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (226),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (238), (19114), (19493), (19494) are inconsistent
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | by sub-proof #79.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19495) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (19495) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19496) all_4_101 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19496) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19497) pred(n3) = all_4_79
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19496) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19498) succ(n3) = all_4_75
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (19498) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19499) all_4_75 = n4
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (19497) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19500) all_4_79 = n2
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19499), (19500) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19501) sum(n2, n4) = all_4_73
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19477), (19500) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19502) sum(n2, n6) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19475), (19499) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19503) sum(n4, n4) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19501) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19504) all_4_73 = n6
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (19502) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19505) all_4_77 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (19503) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19506) all_4_74 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19479), (19504) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19507) sum(n6, n10) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19505), (19506) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19508) sum(n8, n8) = all_4_99
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (82), (19507) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19509) all_4_98 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (19508) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19510) all_4_99 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (56), (78), (90),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (223), (227),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19509), (19510) are inconsistent
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | by sub-proof #58.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19511) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19511) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19512) all_4_101 = n2
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19512) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19513) pred(n2) = all_4_79
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19512) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19514) succ(n2) = all_4_75
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19514) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19515) all_4_75 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19513) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19516) all_4_79 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19515), (19516) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19517) sum(n1, n3) = all_4_73
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19477), (19516) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19518) sum(n1, n6) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19475), (19515) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19519) sum(n4, n3) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19517) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19520) all_4_73 = n4
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (19518) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19521) all_4_77 = n7
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (19519) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19522) all_4_74 = n7
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19479), (19520) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19523) sum(n4, n10) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19521), (19522) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19524) sum(n7, n7) = all_4_99
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (19523) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19525) all_4_98 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (19524) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19526) all_4_99 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (102), (126), (133), (134), (135), (136), (137),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (200), (201), (202), (203), (204),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (223),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19525), (19526) are inconsistent
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #31.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | (19527) all_4_101 = n1 | all_4_101 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19527) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19528) all_4_101 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19528) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19529) pred(n1) = all_4_79
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19528) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19530) succ(n1) = all_4_75
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19530) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19531) all_4_75 = n2
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19529) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19532) all_4_79 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19531), (19532) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19533) sum(n0, n2) = all_4_73
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19477), (19532) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19534) sum(n0, n6) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19475), (19531) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19535) sum(n4, n2) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19533) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19536) all_4_73 = n2
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (19534) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19537) all_4_77 = n6
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (19535) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19538) all_4_74 = n6
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19479), (19536) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19539) sum(n2, n10) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19537), (19538) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19540) sum(n6, n6) = all_4_99
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (19539) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19541) all_4_98 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (19540) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19542) all_4_99 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (90), (102),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (191),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (222), (223), (227),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19541), (19542) are inconsistent
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #28.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19543) all_4_101 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19543) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19544) pred(n0) = all_4_79
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19543) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19545) succ(n0) = all_4_75
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19545) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19546) all_4_75 = n1
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19544) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19547) all_4_79 = n10
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19546), (19547) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19548) sum(n10, n1) = all_4_73
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19477), (19547) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19549) sum(n10, n6) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19475), (19546) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19550) sum(n4, n1) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (19550) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19551) all_4_74 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19548) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19552) all_4_73 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (19549) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19553) all_4_77 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19479), (19552) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19554) sum(n0, n10) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19551), (19553) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19555) sum(n5, n5) = all_4_99
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (19554) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19556) all_4_98 = n10
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (19555) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (19557) all_4_99 = n10
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (200), (201), (202), (203), (204),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (228),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19556), (19557) are inconsistent
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #20.
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | (19558) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (19468) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19559) all_4_101 = n4
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19559) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19560) pred(n4) = all_4_79
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19559) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19561) succ(n4) = all_4_75
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (19561) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19562) all_4_75 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (19560) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19563) all_4_79 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19562) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19564) sum(all_4_76, n5) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19562), (19563) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19565) sum(n3, n5) = all_4_73
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19563) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19566) sum(n3, all_4_78) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (19565) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19567) all_4_73 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19567) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | (19568) sum(n8, all_4_72) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (19558) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19569) all_4_100 = n4
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19569) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19570) pred(n4) = all_4_76
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19569) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19571) succ(n4) = all_4_78
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (19571) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19572) all_4_78 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (19570) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19573) all_4_76 = n3
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19572), (19573) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19574) sum(n3, n5) = all_4_72
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19564), (19573) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19575) sum(n3, n5) = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19566), (19572) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19576) sum(n3, n5) = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (19575) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19577) all_4_74 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (19574), (19575) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19578) all_4_72 = all_4_74
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (19574), (19576) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19579) all_4_72 = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19578), (19579) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19580) all_4_74 = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (19580) implies:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19581) all_4_74 = all_4_77
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19577), (19581) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19582) all_4_77 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19579), (19582) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19583) all_4_72 = n8
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19577), (19582) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19584) sum(n8, n8) = all_4_99
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19568), (19583) imply:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19585) sum(n8, n8) = all_4_98
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (19585) gives:
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | (19586) all_4_98 = n5
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | simplifying with (19584), (19585) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19587) all_4_98 = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19586), (19587) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19588) all_4_99 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (19588) implies:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19589) all_4_99 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (56), (78), (90),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (223), (227),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19586), (19589) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | by sub-proof #58.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19590) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19590) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19591) all_4_100 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19591) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19592) pred(n3) = all_4_76
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19591) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19593) succ(n3) = all_4_78
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (19593) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19594) all_4_78 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (19592) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19595) all_4_76 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19594), (19595) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19596) sum(n2, n4) = all_4_72
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19564), (19595) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19597) sum(n2, n5) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19566), (19594) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19598) sum(n3, n4) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19596) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19599) all_4_72 = n6
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (19597) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19600) all_4_74 = n7
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (19598) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19601) all_4_77 = n7
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19600), (19601) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19602) sum(n7, n7) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19568), (19599) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19603) sum(n8, n6) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (19602) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19604) all_4_99 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (100), (19603) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19605) all_4_98 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (102), (126), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (223),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19604), (19605) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #31.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19606) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19606) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19607) all_4_100 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19607) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19608) pred(n2) = all_4_76
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19607) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19609) succ(n2) = all_4_78
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19609) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19610) all_4_78 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19608) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19611) all_4_76 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19610), (19611) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19612) sum(n1, n3) = all_4_72
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19564), (19611) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19613) sum(n1, n5) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19566), (19610) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19614) sum(n3, n3) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19612) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19615) all_4_72 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (19613) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19616) all_4_74 = n6
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19614) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19617) all_4_77 = n6
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19616), (19617) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19618) sum(n6, n6) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19568), (19615) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19619) sum(n8, n4) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (19618) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19620) all_4_99 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (19619) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19621) all_4_98 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (90), (102),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (191),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (222), (223), (227),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19620), (19621) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #28.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19622) all_4_100 = n1 | all_4_100 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19622) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19623) all_4_100 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19623) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19624) pred(n1) = all_4_76
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19623) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19625) succ(n1) = all_4_78
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19625) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19626) all_4_78 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19624) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19627) all_4_76 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19626), (19627) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19628) sum(n0, n2) = all_4_72
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19564), (19627) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19629) sum(n0, n5) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19566), (19626) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19630) sum(n3, n2) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19628) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19631) all_4_72 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (19629) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19632) all_4_74 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (19630) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19633) all_4_77 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19632), (19633) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19634) sum(n5, n5) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19568), (19631) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19635) sum(n8, n2) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (19634) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19636) all_4_99 = n10
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (19635) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19637) all_4_98 = n10
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (228),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19636), (19637) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #20.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19638) all_4_100 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19638) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19639) pred(n0) = all_4_76
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19638) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19640) succ(n0) = all_4_78
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19640) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19641) all_4_78 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19639) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19642) all_4_76 = n10
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19641), (19642) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19643) sum(n10, n1) = all_4_72
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19564), (19642) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19644) sum(n10, n5) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19566), (19641) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19645) sum(n3, n1) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (19645) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19646) all_4_77 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19643) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19647) all_4_72 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (19644) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19648) all_4_74 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19646), (19648) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19649) sum(n4, n4) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19568), (19647) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19650) sum(n8, n0) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (19649) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19651) all_4_99 = n8
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (19650) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19652) all_4_98 = n8
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (66), (68), (80), (92),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (193), (194),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (224), (225), (226), (228),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19651), (19652) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #18.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | (19653) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (19558) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19654) all_4_100 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19654) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19655) pred(n4) = all_4_76
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19654) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19656) succ(n4) = all_4_78
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (19656) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19657) all_4_78 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (19655) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19658) all_4_76 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19658) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19659) sum(n3, all_4_75) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19657), (19658) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19660) sum(n3, n5) = all_4_72
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19657) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19661) sum(all_4_79, n5) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (19660) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19662) all_4_72 = n8
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19662) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | (19663) sum(all_4_73, n8) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19653) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19664) all_4_101 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19664) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19665) pred(n3) = all_4_79
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19664) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19666) succ(n3) = all_4_75
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (19666) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19667) all_4_75 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (19665) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19668) all_4_79 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19667), (19668) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19669) sum(n2, n4) = all_4_73
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19661), (19668) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19670) sum(n2, n5) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19659), (19667) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19671) sum(n3, n4) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19669) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19672) all_4_73 = n6
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (19670) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19673) all_4_77 = n7
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (19671) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19674) all_4_74 = n7
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19663), (19672) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19675) sum(n6, n8) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19673), (19674) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19676) sum(n7, n7) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (19675) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19677) all_4_98 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (19676) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19678) all_4_99 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (56), (78),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (102), (126), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (190),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (221), (222), (223),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19677), (19678) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #31.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | (19679) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19679) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19680) all_4_101 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19680) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19681) pred(n2) = all_4_79
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19680) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19682) succ(n2) = all_4_75
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19682) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19683) all_4_75 = n3
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19681) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19684) all_4_79 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19683), (19684) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19685) sum(n1, n3) = all_4_73
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19661), (19684) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19686) sum(n1, n5) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19659), (19683) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19687) sum(n3, n3) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19685) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19688) all_4_73 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (19686) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19689) all_4_77 = n6
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19687) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19690) all_4_74 = n6
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19663), (19688) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19691) sum(n4, n8) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19689), (19690) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19692) sum(n6, n6) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (19691) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19693) all_4_98 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (19692) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19694) all_4_99 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (90), (102),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (191),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (222), (223), (227),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19693), (19694) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #28.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | (19695) all_4_101 = n1 | all_4_101 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19695) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19696) all_4_101 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19696) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19697) pred(n1) = all_4_79
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19696) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19698) succ(n1) = all_4_75
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19698) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19699) all_4_75 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19697) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19700) all_4_79 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19699), (19700) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19701) sum(n0, n2) = all_4_73
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19661), (19700) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19702) sum(n0, n5) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19659), (19699) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19703) sum(n3, n2) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19701) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19704) all_4_73 = n2
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (19702) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19705) all_4_77 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (19703) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19706) all_4_74 = n5
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19663), (19704) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19707) sum(n2, n8) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19705), (19706) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19708) sum(n5, n5) = all_4_99
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (19707) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19709) all_4_98 = n10
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (19708) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19710) all_4_99 = n10
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (200), (201), (202), (203), (204),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (228),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19709), (19710) are inconsistent
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #20.
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19711) all_4_101 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19711) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19712) pred(n0) = all_4_79
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19711) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19713) succ(n0) = all_4_75
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19713) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19714) all_4_75 = n1
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19712) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19715) all_4_79 = n10
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19714), (19715) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19716) sum(n10, n1) = all_4_73
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19661), (19715) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19717) sum(n10, n5) = all_4_77
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19659), (19714) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19718) sum(n3, n1) = all_4_74
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (19718) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19719) all_4_74 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19716) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19720) all_4_73 = n0
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (19717) gives:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19721) all_4_77 = n4
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19663), (19720) imply:
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | (19722) sum(n0, n8) = all_4_98
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19719), (19721) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19723) sum(n4, n4) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (19722) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19724) all_4_98 = n8
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (19723) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19725) all_4_99 = n8
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (66), (68), (80), (92),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (193), (194),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (224), (225), (226), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19724), (19725) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #18.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | (19726) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19653) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19727) all_4_101 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19727) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19728) pred(n3) = all_4_79
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19727) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19729) succ(n3) = all_4_75
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (19729) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19730) all_4_75 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (19728) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19731) all_4_79 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19730) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19732) sum(all_4_76, n4) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19730), (19731) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19733) sum(n2, n4) = all_4_73
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19731) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19734) sum(n2, all_4_78) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19733) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19735) all_4_73 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19735) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19736) sum(n6, all_4_72) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19726) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19737) all_4_100 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19737) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19738) pred(n3) = all_4_76
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19737) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19739) succ(n3) = all_4_78
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (19739) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19740) all_4_78 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (19738) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19741) all_4_76 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19740), (19741) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19742) sum(n2, n4) = all_4_72
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19732), (19741) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19743) sum(n2, n4) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19734), (19740) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19744) sum(n2, n4) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19743) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19745) all_4_74 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19742), (19743) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19746) all_4_72 = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19742), (19744) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19747) all_4_72 = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19746), (19747) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19748) all_4_74 = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19748) implies:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19749) all_4_74 = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19745), (19749) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19750) all_4_77 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19747), (19750) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19751) all_4_72 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19745), (19750) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19752) sum(n6, n6) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19736), (19751) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19753) sum(n6, n6) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (19753) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19754) all_4_98 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19752), (19753) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19755) all_4_98 = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19754), (19755) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19756) all_4_99 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19756) implies:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19757) all_4_99 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (90), (102),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (104), (126), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (188), (191),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (192), (196), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (219), (222), (223), (227),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19754), (19757) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #28.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19758) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19758) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19759) all_4_100 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19759) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19760) pred(n2) = all_4_76
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19759) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19761) succ(n2) = all_4_78
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19761) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19762) all_4_78 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19760) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19763) all_4_76 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19762), (19763) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19764) sum(n1, n3) = all_4_72
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19732), (19763) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19765) sum(n1, n4) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19734), (19762) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19766) sum(n2, n3) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19764) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19767) all_4_72 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (19765) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19768) all_4_74 = n5
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (19766) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19769) all_4_77 = n5
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19768), (19769) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19770) sum(n5, n5) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19736), (19767) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19771) sum(n6, n4) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (19770) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19772) all_4_99 = n10
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (19771) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19773) all_4_98 = n10
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19772), (19773) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #20.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19774) all_4_100 = n1 | all_4_100 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19774) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19775) all_4_100 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19775) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19776) pred(n1) = all_4_76
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19775) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19777) succ(n1) = all_4_78
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19777) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19778) all_4_78 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19776) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19779) all_4_76 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19778), (19779) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19780) sum(n0, n2) = all_4_72
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19732), (19779) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19781) sum(n0, n4) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19734), (19778) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19782) sum(n2, n2) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19780) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19783) all_4_72 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (19781) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19784) all_4_74 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19782) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19785) all_4_77 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19784), (19785) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19786) sum(n4, n4) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19736), (19783) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19787) sum(n6, n2) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (19786) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19788) all_4_99 = n8
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (19787) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19789) all_4_98 = n8
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (66), (68), (80), (92),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (193), (194),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (224), (225), (226), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19788), (19789) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #18.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19790) all_4_100 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19790) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19791) pred(n0) = all_4_76
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19790) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19792) succ(n0) = all_4_78
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19792) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19793) all_4_78 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19791) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19794) all_4_76 = n10
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19793), (19794) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19795) sum(n10, n1) = all_4_72
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19732), (19794) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19796) sum(n10, n4) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19734), (19793) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19797) sum(n2, n1) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (19797) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19798) all_4_77 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19795) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19799) all_4_72 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (19796) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19800) all_4_74 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19798), (19800) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19801) sum(n3, n3) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19736), (19799) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19802) sum(n6, n0) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19801) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19803) all_4_99 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (19802) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19804) all_4_98 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19803), (19804) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #17.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | (19805) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19726) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19806) all_4_100 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19806) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19807) pred(n3) = all_4_76
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19806) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19808) succ(n3) = all_4_78
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (19808) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19809) all_4_78 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (19807) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19810) all_4_76 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19810) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19811) sum(n2, all_4_75) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19809), (19810) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19812) sum(n2, n4) = all_4_72
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19809) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19813) sum(all_4_79, n4) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19812) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19814) all_4_72 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19814) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19815) sum(all_4_73, n6) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19805) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19816) all_4_101 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19816) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19817) pred(n2) = all_4_79
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19816) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19818) succ(n2) = all_4_75
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19818) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19819) all_4_75 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19817) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19820) all_4_79 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19819), (19820) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19821) sum(n1, n3) = all_4_73
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19813), (19820) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19822) sum(n1, n4) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19811), (19819) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19823) sum(n2, n3) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19821) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19824) all_4_73 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (19822) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19825) all_4_77 = n5
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (19823) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19826) all_4_74 = n5
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19815), (19824) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19827) sum(n4, n6) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19825), (19826) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19828) sum(n5, n5) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (19827) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19829) all_4_98 = n10
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (19828) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19830) all_4_99 = n10
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (42), (54), (68), (80),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (225), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (238), (19114), (19829), (19830) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #20.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19831) all_4_101 = n1 | all_4_101 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19831) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19832) all_4_101 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19832) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19833) pred(n1) = all_4_79
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19832) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19834) succ(n1) = all_4_75
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19834) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19835) all_4_75 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19833) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19836) all_4_79 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19835), (19836) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19837) sum(n0, n2) = all_4_73
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19813), (19836) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19838) sum(n0, n4) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19811), (19835) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19839) sum(n2, n2) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19837) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19840) all_4_73 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (19838) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19841) all_4_77 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19839) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19842) all_4_74 = n4
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19815), (19840) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19843) sum(n2, n6) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19841), (19842) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19844) sum(n4, n4) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (19843) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19845) all_4_98 = n8
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (19844) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19846) all_4_99 = n8
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (66), (68), (80), (92),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (193), (194),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (224), (225), (226), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19845), (19846) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #18.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19847) all_4_101 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19847) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19848) pred(n0) = all_4_79
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19847) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19849) succ(n0) = all_4_75
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19849) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19850) all_4_75 = n1
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19848) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19851) all_4_79 = n10
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19850), (19851) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19852) sum(n10, n1) = all_4_73
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19813), (19851) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19853) sum(n10, n4) = all_4_77
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19811), (19850) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19854) sum(n2, n1) = all_4_74
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (19854) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19855) all_4_74 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19852) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19856) all_4_73 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (19853) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19857) all_4_77 = n3
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19815), (19856) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19858) sum(n0, n6) = all_4_98
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19855), (19857) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19859) sum(n3, n3) = all_4_99
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (19858) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19860) all_4_98 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19859) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (19861) all_4_99 = n6
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19860), (19861) are inconsistent
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #17.
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | (19862) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19805) gives:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19863) all_4_101 = n2
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19863) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19864) pred(n2) = all_4_79
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19863) imply:
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | (19865) succ(n2) = all_4_75
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.20/66.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19865) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19866) all_4_75 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19864) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19867) all_4_79 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19866) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19868) sum(all_4_76, n3) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19866), (19867) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19869) sum(n1, n3) = all_4_73
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19867) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19870) sum(n1, all_4_78) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19869) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19871) all_4_73 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19871) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19872) sum(n4, all_4_72) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19862) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19873) all_4_100 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19873) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19874) pred(n2) = all_4_76
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19873) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19875) succ(n2) = all_4_78
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19875) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19876) all_4_78 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19874) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19877) all_4_76 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19876), (19877) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19878) sum(n1, n3) = all_4_72
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19868), (19877) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19879) sum(n1, n3) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19870), (19876) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19880) sum(n1, n3) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19879) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19881) all_4_74 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19878), (19879) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19882) all_4_72 = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19878), (19880) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19883) all_4_72 = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19882), (19883) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19884) all_4_74 = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19884) implies:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19885) all_4_74 = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19881), (19885) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19886) all_4_77 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19883), (19886) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19887) all_4_72 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19881), (19886) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19888) sum(n4, n4) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19872), (19887) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19889) sum(n4, n4) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (19889) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19890) all_4_98 = n8
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19888), (19889) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19891) all_4_98 = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19890), (19891) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19892) all_4_99 = n8
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19892) implies:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19893) all_4_99 = n8
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (66), (68), (80), (92),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (193), (194),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (224), (225), (226), (228),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19890), (19893) are inconsistent
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #18.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19894) all_4_100 = n1 | all_4_100 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19894) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19895) all_4_100 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19895) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19896) pred(n1) = all_4_76
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19895) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19897) succ(n1) = all_4_78
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19897) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19898) all_4_78 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19896) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19899) all_4_76 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19898), (19899) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19900) sum(n0, n2) = all_4_72
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19868), (19899) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19901) sum(n0, n3) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19870), (19898) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19902) sum(n1, n2) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19900) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19903) all_4_72 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (19901) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19904) all_4_74 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (19902) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19905) all_4_77 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19904), (19905) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19906) sum(n3, n3) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19872), (19903) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19907) sum(n4, n2) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19906) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19908) all_4_99 = n6
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (19907) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19909) all_4_98 = n6
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19908), (19909) are inconsistent
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #17.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19910) all_4_100 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19910) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19911) pred(n0) = all_4_76
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19910) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19912) succ(n0) = all_4_78
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19912) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19913) all_4_78 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19911) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19914) all_4_76 = n10
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19913), (19914) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19915) sum(n10, n1) = all_4_72
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19868), (19914) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19916) sum(n10, n3) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19870), (19913) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19917) sum(n1, n1) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19917) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19918) all_4_77 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19915) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19919) all_4_72 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (19916) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19920) all_4_74 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19918), (19920) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19921) sum(n2, n2) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19872), (19919) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19922) sum(n4, n0) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19921) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19923) all_4_99 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (19922) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19924) all_4_98 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (19469), (19923), (19924) are
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | (19925) all_4_101 = n1 | all_4_101 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19862) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19926) all_4_100 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19926) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19927) pred(n2) = all_4_76
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19926) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19928) succ(n2) = all_4_78
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (19928) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19929) all_4_78 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (19927) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19930) all_4_76 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19930) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19931) sum(n1, all_4_75) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19929), (19930) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19932) sum(n1, n3) = all_4_72
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19929) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19933) sum(all_4_79, n3) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (19932) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19934) all_4_72 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19934) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19935) sum(all_4_73, n4) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19925) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19936) all_4_101 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19936) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19937) pred(n1) = all_4_79
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19936) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19938) succ(n1) = all_4_75
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19938) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19939) all_4_75 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19937) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19940) all_4_79 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19939), (19940) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19941) sum(n0, n2) = all_4_73
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19933), (19940) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19942) sum(n0, n3) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19931), (19939) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19943) sum(n1, n2) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19941) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19944) all_4_73 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (19942) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19945) all_4_77 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (19943) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19946) all_4_74 = n3
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19935), (19944) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19947) sum(n2, n4) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19945), (19946) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19948) sum(n3, n3) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (19947) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19949) all_4_98 = n6
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (19948) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19950) all_4_99 = n6
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (193),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (224), (226), (228),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (19949), (19950) are inconsistent
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #17.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19951) all_4_101 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19951) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19952) pred(n0) = all_4_79
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19951) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19953) succ(n0) = all_4_75
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (19953) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19954) all_4_75 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19952) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19955) all_4_79 = n10
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19954), (19955) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19956) sum(n10, n1) = all_4_73
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19933), (19955) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19957) sum(n10, n3) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19931), (19954) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19958) sum(n1, n1) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19958) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19959) all_4_74 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (19956) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19960) all_4_73 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (19957) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19961) all_4_77 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19935), (19960) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19962) sum(n0, n4) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19959), (19961) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19963) sum(n2, n2) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (19962) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19964) all_4_98 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19963) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19965) all_4_99 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (19469), (19964), (19965) are
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | (19966) all_4_100 = n1 | all_4_100 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19925) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19967) all_4_101 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (19967) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19968) pred(n1) = all_4_79
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (19967) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19969) succ(n1) = all_4_75
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19969) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19970) all_4_75 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19968) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19971) all_4_79 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (19970) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19972) sum(all_4_76, n2) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19970), (19971) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19973) sum(n0, n2) = all_4_73
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (19971) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19974) sum(n0, all_4_78) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19973) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19975) all_4_73 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (19975) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (19976) sum(n2, all_4_72) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19966) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19977) all_4_100 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19977) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19978) pred(n1) = all_4_76
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19977) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19979) succ(n1) = all_4_78
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (19979) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19980) all_4_78 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (19978) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19981) all_4_76 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (19980), (19981) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19982) sum(n0, n2) = all_4_72
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19972), (19981) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19983) sum(n0, n2) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19974), (19980) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19984) sum(n0, n2) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (19983) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19985) all_4_74 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19982), (19983) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19986) all_4_72 = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19982), (19984) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19987) all_4_72 = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19986), (19987) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19988) all_4_74 = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19988) implies:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19989) all_4_74 = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19985), (19989) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19990) all_4_77 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19987), (19990) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19991) all_4_72 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (19985), (19990) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19992) sum(n2, n2) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19976), (19991) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19993) sum(n2, n2) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (19993) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19994) all_4_98 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19992), (19993) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19995) all_4_98 = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19994), (19995) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19996) all_4_99 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19996) implies:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19997) all_4_99 = n4
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (44), (56), (78), (90),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (102), (104), (126), (133), (134), (135), (136),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (190),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (201), (202), (203),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (206), (207), (221), (222), (223),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (233), (234), (235), (236),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (19469), (19994), (19997) are
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19998) all_4_100 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (19998) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19999) pred(n0) = all_4_76
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (19998) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20000) succ(n0) = all_4_78
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20000) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20001) all_4_78 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (19999) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20002) all_4_76 = n10
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20001), (20002) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20003) sum(n10, n1) = all_4_72
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19972), (20002) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20004) sum(n10, n2) = all_4_74
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19974), (20001) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20005) sum(n0, n1) = all_4_77
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (20005) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20006) all_4_77 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20003) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20007) all_4_72 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (20004) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20008) all_4_74 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20006), (20008) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20009) sum(n1, n1) = all_4_99
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19976), (20007) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20010) sum(n2, n0) = all_4_98
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (20009) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20011) all_4_99 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (20010) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20012) all_4_98 = n2
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (20011), (20012) are inconsistent
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #60.
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (20013) all_4_101 = n0
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20013) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (20014) pred(n0) = all_4_79
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20013) imply:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (20015) succ(n0) = all_4_75
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20015) gives:
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (20016) all_4_75 = n1
% 260.20/66.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20014) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (20017) all_4_79 = n10
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20016) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (20018) sum(all_4_76, n1) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20016), (20017) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (20019) sum(n10, n1) = all_4_73
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20017) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (20020) sum(n10, all_4_78) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20019) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (20021) all_4_73 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20021) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (20022) sum(n0, all_4_72) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19966) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20023) all_4_100 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20023) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20024) pred(n1) = all_4_76
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20023) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20025) succ(n1) = all_4_78
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20025) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20026) all_4_78 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20024) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20027) all_4_76 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20026), (20027) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20028) sum(n0, n2) = all_4_72
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20018), (20027) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20029) sum(n0, n1) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20020), (20026) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20030) sum(n10, n2) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n1, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (20029) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20031) all_4_74 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20028) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20032) all_4_72 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n2, n10,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (20030) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20033) all_4_77 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20031), (20033) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20034) sum(n1, n1) = all_4_99
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20022), (20032) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20035) sum(n0, n2) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n2, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20035) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20036) all_4_98 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (20034) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20037) all_4_99 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (42), (54), (66), (80), (92),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (114), (133), (134), (135), (136), (137),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (144),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (151),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (156), (189), (194),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (200), (201), (202), (203), (204),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (206), (207), (220), (225), (226), (228),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (19469), (20036), (20037) are inconsistent
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #60.
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20038) all_4_100 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20038) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20039) pred(n0) = all_4_76
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20038) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20040) succ(n0) = all_4_78
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20040) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20041) all_4_78 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20039) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20042) all_4_76 = n10
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20041), (20042) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20043) sum(n10, n1) = all_4_72
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20018), (20042) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20044) sum(n10, n1) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20020), (20041) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20045) sum(n10, n1) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_74, n1, n10,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20044) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20046) all_4_74 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (20043), (20044) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20047) all_4_72 = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (20043), (20045) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20048) all_4_72 = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20047), (20048) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20049) all_4_74 = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20049) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20050) all_4_74 = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20046), (20050) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20051) all_4_77 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20048), (20051) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20052) all_4_72 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20046), (20051) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20053) sum(n0, n0) = all_4_99
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20022), (20052) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20054) sum(n0, n0) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_98, n0, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (20054) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20055) all_4_98 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n0, n0,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20053), (20054) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20056) all_4_98 = all_4_99
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20055), (20056) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20057) all_4_99 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20057) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20058) all_4_99 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (117), (133), (134), (135), (136),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (138), (139), (140), (141), (142), (143),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (150),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (152), (153), (154), (155), (156), (187),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (206),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (218), (231), (232), (233), (234), (235),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (19469), (20053), (20055),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20058) are inconsistent by sub-proof #59.
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.18 | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.18 | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | (20059) ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.20/66.18 | | | | | | | | | | | | | | | | | | all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.20/66.18 | | | | | | | | | | | | | | | | | | (all_4_98 = all_4_99)
% 260.20/66.18 | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | BETA: splitting (19343) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20060) all_4_100 = n5
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20060) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20061) pred(n5) = all_4_76
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20060) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20062) succ(n5) = all_4_78
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_78, n5,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | simplifying with (192), (20062) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20063) all_4_78 = n6
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_76, n5,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | simplifying with (223), (20061) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20064) all_4_76 = n4
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20064) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20065) sum(n4, all_4_75) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20063), (20064) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20066) sum(n4, n6) = all_4_72
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20063) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20067) sum(all_4_79, n6) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_72, n6, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | simplifying with (56), (20066) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20068) all_4_72 = n10
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20068) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | (20069) sum(all_4_73, n10) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (19468) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20070) all_4_101 = n4
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20070) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20071) pred(n4) = all_4_79
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20070) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20072) succ(n4) = all_4_75
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (20072) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20073) all_4_75 = n5
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (20071) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20074) all_4_79 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20073), (20074) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20075) sum(n3, n5) = all_4_73
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (20067), (20074) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20076) sum(n3, n6) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (20065), (20073) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20077) sum(n4, n5) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (20075) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20078) all_4_73 = n8
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_77, n6, n3,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (45), (20076) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20079) all_4_77 = n9
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_74, n5, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (55), (20077) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20080) all_4_74 = n9
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (20069), (20078) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20081) sum(n8, n10) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20079), (20080) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20082) sum(n9, n9) = all_4_99
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_98, n10, n8,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (104), (20081) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20083) all_4_98 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_99, n9, n9,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (114), (20082) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20084) all_4_99 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (20083) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20085) pred(n7) = all_4_68
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (20084) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20086) pred(n7) = all_4_71
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (20083) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20087) succ(n7) = all_4_70
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (20084) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20088) succ(n7) = all_4_67
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_67, n7,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (194), (20088) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20089) all_4_67 = n8
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n7,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20087), (20088) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20090) all_4_67 = all_4_70
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_68, n7,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (225), (20085) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20091) all_4_68 = n6
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n7,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20085), (20086) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20092) all_4_68 = all_4_71
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20089), (20090) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20093) all_4_70 = n8
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | SIMP: (20093) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20094) all_4_70 = n8
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20091), (20092) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20095) all_4_71 = n6
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (20089), (20091) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20096) sum(n6, n8) = all_4_66
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (20091), (20094) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20097) sum(n6, n8) = all_4_64
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (20089), (20095) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20098) sum(n6, n8) = all_4_65
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (20094), (20095) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20099) sum(n6, n8) = all_4_69
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_65, n8, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (80), (20098) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20100) all_4_65 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n8, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20096), (20098) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20101) all_4_65 = all_4_66
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n8, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20096), (20097) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20102) all_4_64 = all_4_66
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n8, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20097), (20099) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20103) all_4_64 = all_4_69
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20102), (20103) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20104) all_4_66 = all_4_69
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | SIMP: (20104) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20105) all_4_66 = all_4_69
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20100), (20101) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20106) all_4_66 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | SIMP: (20106) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20107) all_4_66 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20105), (20107) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20108) all_4_69 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20103), (20108) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20109) all_4_64 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (20100), (20109) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20110) sum(n3, n3) = all_4_96
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (20107), (20108) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20111) sum(n3, n3) = all_4_97
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_96, n3, n3,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20110) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20112) all_4_96 = n6
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n3, n3,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20110), (20111) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20113) all_4_96 = all_4_97
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20112), (20113) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20114) all_4_97 = n6
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (20112) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20115) pred(n6) = all_4_60
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (20114) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20116) pred(n6) = all_4_63
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (20112) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20117) succ(n6) = all_4_62
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (20114) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20118) succ(n6) = all_4_59
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_59, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (193), (20118) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20119) all_4_59 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20117), (20118) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20120) all_4_59 = all_4_62
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_60, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (224), (20115) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20121) all_4_60 = n5
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20115), (20116) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20122) all_4_60 = all_4_63
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20119), (20120) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20123) all_4_62 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | SIMP: (20123) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20124) all_4_62 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20121), (20122) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20125) all_4_63 = n5
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (20119), (20121) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20126) sum(n5, n7) = all_4_58
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (20121), (20124) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20127) sum(n5, n7) = all_4_56
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (20119), (20125) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20128) sum(n5, n7) = all_4_57
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (20124), (20125) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20129) sum(n5, n7) = all_4_61
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_58, n7, n5,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (68), (20126) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20130) all_4_58 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n7, n5,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20126), (20128) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20131) all_4_57 = all_4_58
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n7, n5,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20127), (20128) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20132) all_4_56 = all_4_57
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n7, n5,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | simplifying with (20127), (20129) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20133) all_4_56 = all_4_61
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20132), (20133) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20134) all_4_57 = all_4_61
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | SIMP: (20134) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20135) all_4_57 = all_4_61
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20131), (20135) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20136) all_4_58 = all_4_61
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | SIMP: (20136) implies:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20137) all_4_58 = all_4_61
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20130), (20137) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20138) all_4_61 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20135), (20138) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20139) all_4_57 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (141), (144),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (145), (146), (147), (148), (149), (150), (189),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (204), (205), (220), (235), (236), (20059),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20083), (20084), (20112), (20114), (20130),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20133), (20138), (20139) are inconsistent by
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | (20140) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (20140) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20141) all_4_101 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20141) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20142) pred(n3) = all_4_79
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20141) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20143) succ(n3) = all_4_75
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20143) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20144) all_4_75 = n4
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20142) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20145) all_4_79 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20144), (20145) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20146) sum(n2, n4) = all_4_73
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20067), (20145) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20147) sum(n2, n6) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20065), (20144) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20148) sum(n4, n4) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20146) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20149) all_4_73 = n6
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_77, n6, n2,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (20147) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20150) all_4_77 = n8
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n4, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20148) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20151) all_4_74 = n8
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20069), (20149) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20152) sum(n6, n10) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20150), (20151) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20153) sum(n8, n8) = all_4_99
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n10, n6,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (82), (20152) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20154) all_4_98 = n5
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_99, n8, n8,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (20153) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20155) all_4_99 = n5
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (56), (78), (90), (104),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (190), (192),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (221), (223), (227), (231), (232), (233), (234),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20154), (20155) are
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | (20156) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20156) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20157) all_4_101 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20157) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20158) pred(n2) = all_4_79
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20157) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20159) succ(n2) = all_4_75
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20159) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20160) all_4_75 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20158) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20161) all_4_79 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20160), (20161) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20162) sum(n1, n3) = all_4_73
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20067), (20161) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20163) sum(n1, n6) = all_4_77
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20065), (20160) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20164) sum(n4, n3) = all_4_74
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20162) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20165) all_4_73 = n4
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n6, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (20163) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20166) all_4_77 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n3, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (20164) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20167) all_4_74 = n7
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20069), (20165) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20168) sum(n4, n10) = all_4_98
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20166), (20167) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20169) sum(n7, n7) = all_4_99
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n10, n4,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (20168) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20170) all_4_98 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20169) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20171) all_4_99 = n3
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (102),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (188), (190), (191),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (219),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (231), (232), (233), (234), (235),
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (236), (20059), (20170), (20171) are inconsistent
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #26.
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | (20172) all_4_101 = n1 | all_4_101 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20172) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | (20173) all_4_101 = n1
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20173) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | (20174) pred(n1) = all_4_79
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20173) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | (20175) succ(n1) = all_4_75
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20175) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | (20176) all_4_75 = n2
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20174) gives:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | (20177) all_4_79 = n0
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20176), (20177) imply:
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | (20178) sum(n0, n2) = all_4_73
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20067), (20177) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20179) sum(n0, n6) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20065), (20176) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20180) sum(n4, n2) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20178) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20181) all_4_73 = n2
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n6, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (20179) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20182) all_4_77 = n6
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n2, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (20180) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20183) all_4_74 = n6
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20069), (20181) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20184) sum(n2, n10) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20182), (20183) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20185) sum(n6, n6) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n10, n2,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (20184) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20186) all_4_98 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20185) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20187) all_4_99 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (102),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (191),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (192), (200), (201), (202), (203), (204), (205),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (231), (232), (233), (234),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20186), (20187) are
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20188) all_4_101 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20188) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20189) pred(n0) = all_4_79
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20188) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20190) succ(n0) = all_4_75
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20190) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20191) all_4_75 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20189) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20192) all_4_79 = n10
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20191), (20192) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20193) sum(n10, n1) = all_4_73
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20067), (20192) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20194) sum(n10, n6) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20065), (20191) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20195) sum(n4, n1) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n1, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (20195) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20196) all_4_74 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20193) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20197) all_4_73 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n6, n10,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (20194) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20198) all_4_77 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20069), (20197) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20199) sum(n0, n10) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20196), (20198) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20200) sum(n5, n5) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n10, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (20199) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20201) all_4_98 = n10
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20200) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20202) all_4_99 = n10
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (105),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (193), (194),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (232), (233), (234),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20201), (20202) are
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | (20203) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (19468) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20204) all_4_101 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20204) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20205) pred(n4) = all_4_79
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20204) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20206) succ(n4) = all_4_75
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_75, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | simplifying with (191), (20206) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20207) all_4_75 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_79, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | simplifying with (222), (20205) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20208) all_4_79 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20207) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20209) sum(all_4_76, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20207), (20208) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20210) sum(n3, n5) = all_4_73
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20208) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20211) sum(n3, all_4_78) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_73, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | simplifying with (44), (20210) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20212) all_4_73 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20212) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | (20213) sum(n8, all_4_72) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (20059) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | (20214) ~ (all_4_92 = all_4_93)
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20203) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20215) all_4_100 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20215) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20216) pred(n4) = all_4_76
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20215) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20217) succ(n4) = all_4_78
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (20217) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20218) all_4_78 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (20216) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20219) all_4_76 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20218), (20219) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20220) sum(n3, n5) = all_4_72
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20219) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20221) sum(n3, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20218) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20222) sum(n3, n5) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (20221) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20223) all_4_74 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20220), (20221) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20224) all_4_72 = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20220), (20222) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20225) all_4_72 = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20224), (20225) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20226) all_4_74 = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20226) implies:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20227) all_4_74 = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20223), (20227) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20228) all_4_77 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20225), (20228) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20229) all_4_72 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20223), (20228) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20230) sum(n8, n8) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20229) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20231) sum(n8, n8) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (20231) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20232) all_4_98 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20230), (20231) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20233) all_4_98 = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20232), (20233) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20234) all_4_99 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20234) implies:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20235) all_4_99 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (32), (56), (78), (90), (104),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (190), (192),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (221), (223), (227), (231), (232), (233), (234),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20232), (20235) are
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20236) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20236) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20237) all_4_100 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20237) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20238) pred(n3) = all_4_76
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20237) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20239) succ(n3) = all_4_78
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20239) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20240) all_4_78 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20238) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20241) all_4_76 = n2
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20240), (20241) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20242) sum(n2, n4) = all_4_72
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20241) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20243) sum(n2, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20240) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20244) sum(n3, n4) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20242) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20245) all_4_72 = n6
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (20243) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20246) all_4_74 = n7
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (20244) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20247) all_4_77 = n7
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20246), (20247) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20248) sum(n7, n7) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20245) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20249) sum(n8, n6) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20248) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20250) all_4_99 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (100), (20249) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20251) all_4_98 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (102),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (188), (190), (191),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (219),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (231), (232), (233), (234), (235),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (236), (20059), (20250), (20251) are inconsistent
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #26.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | (20252) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20252) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20253) all_4_100 = n2
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20253) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20254) pred(n2) = all_4_76
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20253) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20255) succ(n2) = all_4_78
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20255) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20256) all_4_78 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20254) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20257) all_4_76 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20256), (20257) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20258) sum(n1, n3) = all_4_72
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20257) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20259) sum(n1, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20256) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20260) sum(n3, n3) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20258) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20261) all_4_72 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (20259) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20262) all_4_74 = n6
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20260) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20263) all_4_77 = n6
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20262), (20263) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20264) sum(n6, n6) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20261) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20265) sum(n8, n4) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20264) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20266) all_4_99 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (20265) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20267) all_4_98 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (102),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (191),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (192), (200), (201), (202), (203), (204), (205),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (231), (232), (233), (234),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20266), (20267) are
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | (20268) all_4_100 = n1 | all_4_100 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20268) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20269) all_4_100 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20269) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20270) pred(n1) = all_4_76
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20269) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20271) succ(n1) = all_4_78
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20271) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20272) all_4_78 = n2
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20270) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20273) all_4_76 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20272), (20273) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20274) sum(n0, n2) = all_4_72
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20273) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20275) sum(n0, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20272) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20276) sum(n3, n2) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20274) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20277) all_4_72 = n2
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (20275) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20278) all_4_74 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (20276) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20279) all_4_77 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20278), (20279) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20280) sum(n5, n5) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20277) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20281) sum(n8, n2) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20280) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20282) all_4_99 = n10
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (20281) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20283) all_4_98 = n10
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (105),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (193), (194),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (232), (233), (234),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20282), (20283) are
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20284) all_4_100 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20284) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20285) pred(n0) = all_4_76
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20284) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20286) succ(n0) = all_4_78
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20286) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20287) all_4_78 = n1
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20285) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20288) all_4_76 = n10
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20287), (20288) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20289) sum(n10, n1) = all_4_72
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20288) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20290) sum(n10, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20287) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20291) sum(n3, n1) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (20291) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20292) all_4_77 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20289) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20293) all_4_72 = n0
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (20290) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20294) all_4_74 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20292), (20294) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20295) sum(n4, n4) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20293) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20296) sum(n8, n0) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20295) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20297) all_4_99 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (20296) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (20298) all_4_98 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (66), (80), (92), (105),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (194), (195),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (232), (233), (234),
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20214), (20297), (20298) are
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | (20299) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20203) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20300) all_4_100 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20300) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20301) pred(n4) = all_4_76
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20300) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20302) succ(n4) = all_4_78
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (20302) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20303) all_4_78 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (20301) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20304) all_4_76 = n3
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20303), (20304) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20305) sum(n3, n5) = all_4_72
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20304) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20306) sum(n3, n5) = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20303) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20307) sum(n3, n5) = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_74, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (20306) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20308) all_4_74 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20305), (20306) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20309) all_4_72 = all_4_74
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n5, n3,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20305), (20307) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20310) all_4_72 = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20309), (20310) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20311) all_4_74 = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20311) implies:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20312) all_4_74 = all_4_77
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20308), (20312) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20313) all_4_77 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20310), (20313) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20314) all_4_72 = n8
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20308), (20313) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20315) sum(n8, n8) = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20314) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20316) sum(n8, n8) = all_4_98
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_98, n8, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (20316) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20317) all_4_98 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n8, n8,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20315), (20316) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20318) all_4_98 = all_4_99
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20317), (20318) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20319) all_4_99 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20319) implies:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20320) all_4_99 = n5
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (20317) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20321) pred(n5) = all_4_68
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (20320) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20322) pred(n5) = all_4_71
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (20317) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20323) succ(n5) = all_4_70
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (20320) imply:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20324) succ(n5) = all_4_67
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_67, n5,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (192), (20324) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20325) all_4_67 = n6
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n5,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20323), (20324) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20326) all_4_67 = all_4_70
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_68, n5,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (223), (20321) gives:
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | (20327) all_4_68 = n4
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n5,
% 260.20/66.19 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20321), (20322) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20328) all_4_68 = all_4_71
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20325), (20326) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20329) all_4_70 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20329) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20330) all_4_70 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20327), (20328) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20331) all_4_71 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (20325), (20327) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20332) sum(n4, n6) = all_4_66
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (20327), (20330) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20333) sum(n4, n6) = all_4_64
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (20325), (20331) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20334) sum(n4, n6) = all_4_65
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (20330), (20331) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20335) sum(n4, n6) = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_65, n6, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (20334) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20336) all_4_65 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n6, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20332), (20334) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20337) all_4_65 = all_4_66
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n6, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20332), (20333) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20338) all_4_64 = all_4_66
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n6, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (20333), (20335) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20339) all_4_64 = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20338), (20339) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20340) all_4_66 = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20340) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20341) all_4_66 = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20336), (20337) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20342) all_4_66 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (20342) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20343) all_4_66 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20341), (20343) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20344) all_4_69 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20339), (20344) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20345) all_4_64 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (20336), (20345) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20346) sum(n10, n10) = all_4_96
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (20343), (20344) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20347) sum(n10, n10) = all_4_97
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_96, n10, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (20346) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20348) all_4_96 = n9
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | n10, simplifying with (20346), (20347) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20349) all_4_96 = all_4_97
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20348), (20349) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20350) all_4_97 = n9
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (20348) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20351) pred(n9) = all_4_60
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (20350) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20352) pred(n9) = all_4_63
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (20348) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20353) succ(n9) = all_4_62
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (20350) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20354) succ(n9) = all_4_59
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20299) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_59, n9,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (196), (20354) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20355) all_4_59 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_62, all_4_59, n9,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20353), (20354) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20356) all_4_59 = all_4_62
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_60, n9,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (20351) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20357) all_4_60 = n8
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60, n9,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20351), (20352) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20358) all_4_60 = all_4_63
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20355), (20356) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20359) all_4_62 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20357), (20358) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20360) all_4_63 = n8
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (20355), (20357) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20361) sum(n8, n10) = all_4_58
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (20357), (20359) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20362) sum(n8, n10) = all_4_56
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (20355), (20360) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20363) sum(n8, n10) = all_4_57
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (20359), (20360) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20364) sum(n8, n10) = all_4_61
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_57, n10, n8,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (104), (20363) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20365) all_4_57 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_57, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | n8, simplifying with (20361), (20363) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20366) all_4_57 = all_4_58
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | n8, simplifying with (20362), (20363) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20367) all_4_56 = all_4_57
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_56, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | n8, simplifying with (20362), (20364) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20368) all_4_56 = all_4_61
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20367), (20368) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20369) all_4_57 = all_4_61
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20369) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20370) all_4_57 = all_4_61
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20365), (20366) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20371) all_4_58 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20366), (20370) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20372) all_4_58 = all_4_61
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20371), (20372) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20373) all_4_61 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20368), (20373) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20374) all_4_56 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (20365), (20374) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20375) sum(n7, n7) = all_4_94
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (20371), (20373) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20376) sum(n7, n7) = all_4_95
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_95, n7, n7,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20376) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20377) all_4_95 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_94, n7, n7,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20375) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20378) all_4_94 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20299), (20317), (20320), (20348), (20350),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20377), (20378) are inconsistent by sub-proof
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | #178.
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20379) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | all_4_99)
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20317), (20320), (20348), (20350), (20379) are
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20380) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20380) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20381) all_4_100 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20381) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20382) pred(n3) = all_4_76
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20381) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20383) succ(n3) = all_4_78
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20383) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20384) all_4_78 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20382) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20385) all_4_76 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20384), (20385) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20386) sum(n2, n4) = all_4_72
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20385) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20387) sum(n2, n5) = all_4_74
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20384) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20388) sum(n3, n4) = all_4_77
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20386) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20389) all_4_72 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n5, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (20387) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20390) all_4_74 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n4, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (20388) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20391) all_4_77 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20390), (20391) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20392) sum(n7, n7) = all_4_99
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20389) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20393) sum(n8, n6) = all_4_98
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20392) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20394) all_4_99 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n6, n8,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (100), (20393) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20395) all_4_98 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (20395) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20396) pred(n3) = all_4_68
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (20394) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20397) pred(n3) = all_4_71
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (20395) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20398) succ(n3) = all_4_70
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (20394) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20399) succ(n3) = all_4_67
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_67, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20399) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20400) all_4_67 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20398), (20399) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20401) all_4_67 = all_4_70
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_68, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20396) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20402) all_4_68 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20396), (20397) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20403) all_4_68 = all_4_71
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20400), (20401) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20404) all_4_70 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20402), (20403) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20405) all_4_71 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (20400), (20402) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20406) sum(n2, n4) = all_4_66
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (20402), (20404) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20407) sum(n2, n4) = all_4_64
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (20400), (20405) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20408) sum(n2, n4) = all_4_65
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (20404), (20405) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20409) sum(n2, n4) = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_65, n4, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20408) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20410) all_4_65 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n4, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20406), (20408) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20411) all_4_65 = all_4_66
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n4, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20406), (20407) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20412) all_4_64 = all_4_66
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n4, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20407), (20409) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20413) all_4_64 = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20412), (20413) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20414) all_4_66 = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20414) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20415) all_4_66 = all_4_69
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20410), (20411) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20416) all_4_66 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20416) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20417) all_4_66 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20415), (20417) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20418) all_4_69 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20413), (20418) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20419) all_4_64 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (20410), (20419) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20420) sum(n6, n6) = all_4_96
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (20417), (20418) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20421) sum(n6, n6) = all_4_97
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_96, n6, n6,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20420) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20422) all_4_96 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n6, n6,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20420), (20421) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20423) all_4_96 = all_4_97
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20422), (20423) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20424) all_4_97 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20424) implies:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20425) all_4_97 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (20422) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20426) pred(n1) = all_4_60
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (20425) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20427) pred(n1) = all_4_63
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (20422) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20428) succ(n1) = all_4_62
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (20425) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20429) succ(n1) = all_4_59
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_59, n1,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20429) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20430) all_4_59 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (139), (140), (141),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (219), (20299), (20394),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20395), (20422), (20425), (20426), (20427),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20428), (20429), (20430) are inconsistent by
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20431) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20431) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20432) all_4_100 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20432) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20433) pred(n2) = all_4_76
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20432) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20434) succ(n2) = all_4_78
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20434) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20435) all_4_78 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20433) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20436) all_4_76 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20435), (20436) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20437) sum(n1, n3) = all_4_72
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20436) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20438) sum(n1, n5) = all_4_74
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20435) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20439) sum(n3, n3) = all_4_77
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20437) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20440) all_4_72 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n5, n1,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (20438) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20441) all_4_74 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n3, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20439) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20442) all_4_77 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20441), (20442) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20443) sum(n6, n6) = all_4_99
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20440) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20444) sum(n8, n4) = all_4_98
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20443) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20445) all_4_99 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n4, n8,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (20444) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20446) all_4_98 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (102), (133),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (188), (191), (200),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (219), (222), (231), (232),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20299), (20445), (20446) are
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | (20447) all_4_100 = n1 | all_4_100 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20447) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20448) all_4_100 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20448) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20449) pred(n1) = all_4_76
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20448) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20450) succ(n1) = all_4_78
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20450) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20451) all_4_78 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20449) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20452) all_4_76 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20451), (20452) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20453) sum(n0, n2) = all_4_72
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20452) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20454) sum(n0, n5) = all_4_74
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20451) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20455) sum(n3, n2) = all_4_77
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20453) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20456) all_4_72 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n5, n0,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (20454) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20457) all_4_74 = n5
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n2, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (20455) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20458) all_4_77 = n5
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20457), (20458) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20459) sum(n5, n5) = all_4_99
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20456) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20460) sum(n8, n2) = all_4_98
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20459) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20461) all_4_99 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n2, n8,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (20460) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20462) all_4_98 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (105), (114), (133),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (194), (197), (200),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (225), (228), (231), (232),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20299), (20461), (20462) are
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20463) all_4_100 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20463) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20464) pred(n0) = all_4_76
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20463) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20465) succ(n0) = all_4_78
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20465) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20466) all_4_78 = n1
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20464) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20467) all_4_76 = n10
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20466), (20467) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20468) sum(n10, n1) = all_4_72
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20209), (20467) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20469) sum(n10, n5) = all_4_74
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20211), (20466) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20470) sum(n3, n1) = all_4_77
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n1, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (20470) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20471) all_4_77 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20468) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20472) all_4_72 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n5, n10,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (20469) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20473) all_4_74 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20471), (20473) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20474) sum(n4, n4) = all_4_99
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20213), (20472) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20475) sum(n8, n0) = all_4_98
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20474) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20476) all_4_99 = n8
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n0, n8,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (20475) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (20477) all_4_98 = n8
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (105), (114), (133),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (195), (197), (200),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (226), (228), (231), (232),
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20299), (20476), (20477) are
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | End of split
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | (20478) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | all_4_101 = n0
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (20059) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | (20479) ~ (all_4_92 = all_4_93)
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20203) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20480) all_4_100 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20480) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20481) pred(n4) = all_4_76
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20480) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20482) succ(n4) = all_4_78
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (20482) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20483) all_4_78 = n5
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (20481) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20484) all_4_76 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20484) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20485) sum(n3, all_4_75) = all_4_74
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20483), (20484) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20486) sum(n3, n5) = all_4_72
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20483) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20487) sum(all_4_79, n5) = all_4_77
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (20486) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20488) all_4_72 = n8
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20488) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | (20489) sum(all_4_73, n8) = all_4_98
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20478) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20490) all_4_101 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20490) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20491) pred(n3) = all_4_79
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20490) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20492) succ(n3) = all_4_75
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20492) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20493) all_4_75 = n4
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20491) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20494) all_4_79 = n2
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20493), (20494) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20495) sum(n2, n4) = all_4_73
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20487), (20494) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20496) sum(n2, n5) = all_4_77
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20485), (20493) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20497) sum(n3, n4) = all_4_74
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20495) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20498) all_4_73 = n6
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (20496) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20499) all_4_77 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (20497) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20500) all_4_74 = n7
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20489), (20498) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20501) sum(n6, n8) = all_4_98
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20499), (20500) imply:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20502) sum(n7, n7) = all_4_99
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (20501) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20503) all_4_98 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20502) gives:
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | | (20504) all_4_99 = n3
% 260.20/66.20 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (32), (44), (78), (102),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (188), (190), (191),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (219),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (231), (232), (233), (234), (235),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (236), (20059), (20503), (20504) are inconsistent
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #26.
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20505) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20505) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20506) all_4_101 = n2
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20506) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20507) pred(n2) = all_4_79
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20506) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20508) succ(n2) = all_4_75
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20508) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20509) all_4_75 = n3
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20507) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20510) all_4_79 = n1
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20509), (20510) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20511) sum(n1, n3) = all_4_73
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20487), (20510) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20512) sum(n1, n5) = all_4_77
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20485), (20509) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20513) sum(n3, n3) = all_4_74
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20511) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20514) all_4_73 = n4
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (20512) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20515) all_4_77 = n6
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20513) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20516) all_4_74 = n6
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20489), (20514) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20517) sum(n4, n8) = all_4_98
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20515), (20516) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20518) sum(n6, n6) = all_4_99
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (20517) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20519) all_4_98 = n1
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20518) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20520) all_4_99 = n1
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (102),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (191),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (192), (200), (201), (202), (203), (204), (205),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (231), (232), (233), (234),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20519), (20520) are
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20521) all_4_101 = n1 | all_4_101 = n0
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20521) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20522) all_4_101 = n1
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20522) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20523) pred(n1) = all_4_79
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20522) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20524) succ(n1) = all_4_75
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20524) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20525) all_4_75 = n2
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20523) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20526) all_4_79 = n0
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20525), (20526) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20527) sum(n0, n2) = all_4_73
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20487), (20526) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20528) sum(n0, n5) = all_4_77
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20485), (20525) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20529) sum(n3, n2) = all_4_74
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20527) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20530) all_4_73 = n2
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (20528) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20531) all_4_77 = n5
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (20529) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20532) all_4_74 = n5
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20489), (20530) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20533) sum(n2, n8) = all_4_98
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20531), (20532) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20534) sum(n5, n5) = all_4_99
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (20533) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20535) all_4_98 = n10
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20534) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20536) all_4_99 = n10
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (105),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (193), (194),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (232), (233), (234),
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20535), (20536) are
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20537) all_4_101 = n0
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20537) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20538) pred(n0) = all_4_79
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20537) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20539) succ(n0) = all_4_75
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20539) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20540) all_4_75 = n1
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20538) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20541) all_4_79 = n10
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20540), (20541) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20542) sum(n10, n1) = all_4_73
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20487), (20541) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20543) sum(n10, n5) = all_4_77
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20485), (20540) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20544) sum(n3, n1) = all_4_74
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (20544) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20545) all_4_74 = n4
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20542) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20546) all_4_73 = n0
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (20543) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20547) all_4_77 = n4
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20489), (20546) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20548) sum(n0, n8) = all_4_98
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20545), (20547) imply:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20549) sum(n4, n4) = all_4_99
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (20548) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20550) all_4_98 = n8
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20549) gives:
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20551) all_4_99 = n8
% 260.20/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (66), (80), (92), (105),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (194), (195),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (232), (233), (234),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20550), (20551) are
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | (20552) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20478) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20553) all_4_101 = n3
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20553) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20554) pred(n3) = all_4_79
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20553) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20555) succ(n3) = all_4_75
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20555) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20556) all_4_75 = n4
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20554) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20557) all_4_79 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20556) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20558) sum(all_4_76, n4) = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20556), (20557) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20559) sum(n2, n4) = all_4_73
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20557) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20560) sum(n2, all_4_78) = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20559) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20561) all_4_73 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20561) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20562) sum(n6, all_4_72) = all_4_98
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20552) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20563) all_4_100 = n3
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20563) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20564) pred(n3) = all_4_76
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20563) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20565) succ(n3) = all_4_78
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20565) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20566) all_4_78 = n4
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20564) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20567) all_4_76 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20566), (20567) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20568) sum(n2, n4) = all_4_72
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20558), (20567) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20569) sum(n2, n4) = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20560), (20566) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20570) sum(n2, n4) = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20569) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20571) all_4_74 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20568), (20569) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20572) all_4_72 = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20568), (20570) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20573) all_4_72 = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20572), (20573) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20574) all_4_74 = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20574) implies:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20575) all_4_74 = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20571), (20575) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20576) all_4_77 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20573), (20576) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20577) all_4_72 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20571), (20576) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20578) sum(n6, n6) = all_4_99
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20562), (20577) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20579) sum(n6, n6) = all_4_98
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20579) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20580) all_4_98 = n1
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20578), (20579) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20581) all_4_98 = all_4_99
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20580), (20581) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20582) all_4_99 = n1
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20582) implies:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20583) all_4_99 = n1
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (56), (102),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (188), (191),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (192), (200), (201), (202), (203), (204), (205),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (231), (232), (233), (234),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20580), (20583) are
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20584) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20584) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20585) all_4_100 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20585) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20586) pred(n2) = all_4_76
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20585) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20587) succ(n2) = all_4_78
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20587) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20588) all_4_78 = n3
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20586) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20589) all_4_76 = n1
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20588), (20589) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20590) sum(n1, n3) = all_4_72
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20558), (20589) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20591) sum(n1, n4) = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20560), (20588) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20592) sum(n2, n3) = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20590) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20593) all_4_72 = n4
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (20591) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20594) all_4_74 = n5
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (20592) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20595) all_4_77 = n5
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20594), (20595) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20596) sum(n5, n5) = all_4_99
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20562), (20593) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20597) sum(n6, n4) = all_4_98
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20596) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20598) all_4_99 = n10
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (20597) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20599) all_4_98 = n10
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (105),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (193), (194),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (232), (233), (234),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20598), (20599) are
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20600) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20600) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20601) all_4_100 = n1
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20601) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20602) pred(n1) = all_4_76
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20601) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20603) succ(n1) = all_4_78
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20603) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20604) all_4_78 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20602) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20605) all_4_76 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20604), (20605) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20606) sum(n0, n2) = all_4_72
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20558), (20605) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20607) sum(n0, n4) = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20560), (20604) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20608) sum(n2, n2) = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20606) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20609) all_4_72 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (20607) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20610) all_4_74 = n4
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (20608) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20611) all_4_77 = n4
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20610), (20611) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20612) sum(n4, n4) = all_4_99
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20562), (20609) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20613) sum(n6, n2) = all_4_98
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20612) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20614) all_4_99 = n8
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (20613) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20615) all_4_98 = n8
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (66), (80), (92), (105),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (194), (195),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (232), (233), (234),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20614), (20615) are
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20616) all_4_100 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20616) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20617) pred(n0) = all_4_76
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20616) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20618) succ(n0) = all_4_78
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20618) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20619) all_4_78 = n1
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20617) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20620) all_4_76 = n10
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20619), (20620) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20621) sum(n10, n1) = all_4_72
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20558), (20620) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20622) sum(n10, n4) = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20560), (20619) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20623) sum(n2, n1) = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (20623) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20624) all_4_77 = n3
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20621) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20625) all_4_72 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (20622) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20626) all_4_74 = n3
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20624), (20626) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20627) sum(n3, n3) = all_4_99
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20562), (20625) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20628) sum(n6, n0) = all_4_98
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20627) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20629) all_4_99 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (20628) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (20630) all_4_98 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (193), (195),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (220),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (231), (232), (233), (234), (235),
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (20479), (20629), (20630) are inconsistent
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #10.
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | (20631) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20552) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20632) all_4_100 = n3
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20632) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20633) pred(n3) = all_4_76
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20632) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20634) succ(n3) = all_4_78
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20634) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20635) all_4_78 = n4
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20633) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20636) all_4_76 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20636) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20637) sum(n2, all_4_75) = all_4_74
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20635), (20636) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20638) sum(n2, n4) = all_4_72
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20635) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20639) sum(all_4_79, n4) = all_4_77
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20638) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20640) all_4_72 = n6
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20640) imply:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | (20641) sum(all_4_73, n6) = all_4_98
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20631) gives:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | (20642) all_4_101 = n2
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20642) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20643) pred(n2) = all_4_79
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20642) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20644) succ(n2) = all_4_75
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20644) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20645) all_4_75 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20643) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20646) all_4_79 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20645), (20646) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20647) sum(n1, n3) = all_4_73
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20639), (20646) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20648) sum(n1, n4) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20637), (20645) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20649) sum(n2, n3) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20647) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20650) all_4_73 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (20648) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20651) all_4_77 = n5
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (20649) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20652) all_4_74 = n5
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20641), (20650) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20653) sum(n4, n6) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20651), (20652) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20654) sum(n5, n5) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (20653) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20655) all_4_98 = n10
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20654) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20656) all_4_99 = n10
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (42), (68), (80), (105),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (193), (194),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (232), (233), (234),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20655), (20656) are
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20657) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20657) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20658) all_4_101 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20658) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20659) pred(n1) = all_4_79
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20658) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20660) succ(n1) = all_4_75
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20660) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20661) all_4_75 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20659) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20662) all_4_79 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20661), (20662) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20663) sum(n0, n2) = all_4_73
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20639), (20662) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20664) sum(n0, n4) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20637), (20661) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20665) sum(n2, n2) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20663) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20666) all_4_73 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (20664) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20667) all_4_77 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (20665) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20668) all_4_74 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20641), (20666) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20669) sum(n2, n6) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20667), (20668) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20670) sum(n4, n4) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (20669) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20671) all_4_98 = n8
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20670) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20672) all_4_99 = n8
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (66), (80), (92), (105),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (194), (195),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (232), (233), (234),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20671), (20672) are
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20673) all_4_101 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20673) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20674) pred(n0) = all_4_79
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20673) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20675) succ(n0) = all_4_75
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20675) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20676) all_4_75 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20674) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20677) all_4_79 = n10
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20676), (20677) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20678) sum(n10, n1) = all_4_73
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20639), (20677) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20679) sum(n10, n4) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20637), (20676) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20680) sum(n2, n1) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (20680) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20681) all_4_74 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20678) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20682) all_4_73 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (20679) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20683) all_4_77 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20641), (20682) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20684) sum(n0, n6) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20681), (20683) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20685) sum(n3, n3) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (20684) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20686) all_4_98 = n6
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20685) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20687) all_4_99 = n6
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (193), (195),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (220),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (231), (232), (233), (234), (235),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (20479), (20686), (20687) are inconsistent
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #10.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | (20688) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20631) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20689) all_4_101 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20689) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20690) pred(n2) = all_4_79
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20689) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20691) succ(n2) = all_4_75
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20691) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20692) all_4_75 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20690) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20693) all_4_79 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20692) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20694) sum(all_4_76, n3) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20692), (20693) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20695) sum(n1, n3) = all_4_73
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20693) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20696) sum(n1, all_4_78) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20695) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20697) all_4_73 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20697) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20698) sum(n4, all_4_72) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20688) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20699) all_4_100 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20699) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20700) pred(n2) = all_4_76
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20699) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20701) succ(n2) = all_4_78
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20701) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20702) all_4_78 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20700) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20703) all_4_76 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20702), (20703) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20704) sum(n1, n3) = all_4_72
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20694), (20703) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20705) sum(n1, n3) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20696), (20702) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20706) sum(n1, n3) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20705) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20707) all_4_74 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20704), (20705) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20708) all_4_72 = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20704), (20706) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20709) all_4_72 = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20708), (20709) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20710) all_4_74 = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20710) implies:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20711) all_4_74 = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20707), (20711) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20712) all_4_77 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20709), (20712) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20713) all_4_72 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20707), (20712) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20714) sum(n4, n4) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20698), (20713) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20715) sum(n4, n4) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20715) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20716) all_4_98 = n8
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20714), (20715) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20717) all_4_98 = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20716), (20717) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20718) all_4_99 = n8
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20718) implies:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20719) all_4_99 = n8
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (66), (80), (92), (105),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (194), (195),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (232), (233), (234),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20716), (20719) are
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20720) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20720) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20721) all_4_100 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20721) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20722) pred(n1) = all_4_76
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20721) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20723) succ(n1) = all_4_78
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20723) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20724) all_4_78 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20722) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20725) all_4_76 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20724), (20725) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20726) sum(n0, n2) = all_4_72
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20694), (20725) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20727) sum(n0, n3) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20696), (20724) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20728) sum(n1, n2) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20726) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20729) all_4_72 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (20727) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20730) all_4_74 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (20728) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20731) all_4_77 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20730), (20731) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20732) sum(n3, n3) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20698), (20729) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20733) sum(n4, n2) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20732) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20734) all_4_99 = n6
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (20733) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20735) all_4_98 = n6
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (193), (195),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (220),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (231), (232), (233), (234), (235),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (20479), (20734), (20735) are inconsistent
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #10.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20736) all_4_100 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20736) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20737) pred(n0) = all_4_76
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20736) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20738) succ(n0) = all_4_78
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20738) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20739) all_4_78 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20737) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20740) all_4_76 = n10
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20739), (20740) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20741) sum(n10, n1) = all_4_72
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20694), (20740) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20742) sum(n10, n3) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20696), (20739) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20743) sum(n1, n1) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (20743) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20744) all_4_77 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20741) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20745) all_4_72 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (20742) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20746) all_4_74 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20744), (20746) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20747) sum(n2, n2) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20698), (20745) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20748) sum(n4, n0) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (20747) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20749) all_4_99 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (20748) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20750) all_4_98 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (227), (231), (232), (233), (234),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20749), (20750) are
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | (20751) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20688) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20752) all_4_100 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20752) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20753) pred(n2) = all_4_76
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20752) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20754) succ(n2) = all_4_78
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20754) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20755) all_4_78 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20753) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20756) all_4_76 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20756) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20757) sum(n1, all_4_75) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20755), (20756) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20758) sum(n1, n3) = all_4_72
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20755) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20759) sum(all_4_79, n3) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20758) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20760) all_4_72 = n4
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20760) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (20761) sum(all_4_73, n4) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20751) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20762) all_4_101 = n1
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20762) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20763) pred(n1) = all_4_79
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20762) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20764) succ(n1) = all_4_75
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20764) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20765) all_4_75 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20763) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20766) all_4_79 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20765), (20766) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20767) sum(n0, n2) = all_4_73
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20759), (20766) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20768) sum(n0, n3) = all_4_77
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20757), (20765) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20769) sum(n1, n2) = all_4_74
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20767) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20770) all_4_73 = n2
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (20768) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20771) all_4_77 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (20769) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20772) all_4_74 = n3
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20761), (20770) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20773) sum(n2, n4) = all_4_98
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20771), (20772) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20774) sum(n3, n3) = all_4_99
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20773) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20775) all_4_98 = n6
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20774) gives:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20776) all_4_99 = n6
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (66), (68), (92),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (137), (138), (139),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (143), (144), (145), (146),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (150), (189), (193), (195),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (204), (205), (220),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (231), (232), (233), (234), (235),
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (20479), (20775), (20776) are inconsistent
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #10.
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20777) all_4_101 = n0
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20777) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20778) pred(n0) = all_4_79
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20777) imply:
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20779) succ(n0) = all_4_75
% 260.38/66.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20779) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20780) all_4_75 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20778) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20781) all_4_79 = n10
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20780), (20781) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20782) sum(n10, n1) = all_4_73
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20759), (20781) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20783) sum(n10, n3) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20757), (20780) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20784) sum(n1, n1) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (20784) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20785) all_4_74 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20782) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20786) all_4_73 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (20783) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20787) all_4_77 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20761), (20786) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20788) sum(n0, n4) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20785), (20787) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20789) sum(n2, n2) = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (20788) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20790) all_4_98 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (20789) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20791) all_4_99 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (227), (231), (232), (233), (234),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20790), (20791) are
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (20792) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20751) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20793) all_4_101 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20793) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20794) pred(n1) = all_4_79
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20793) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20795) succ(n1) = all_4_75
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20795) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20796) all_4_75 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20794) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20797) all_4_79 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20796) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20798) sum(all_4_76, n2) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20796), (20797) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20799) sum(n0, n2) = all_4_73
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20797) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20800) sum(n0, all_4_78) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20799) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20801) all_4_73 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20801) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20802) sum(n2, all_4_72) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20792) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20803) all_4_100 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20803) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20804) pred(n1) = all_4_76
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20803) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20805) succ(n1) = all_4_78
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20805) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20806) all_4_78 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20804) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20807) all_4_76 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20806), (20807) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20808) sum(n0, n2) = all_4_72
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20798), (20807) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20809) sum(n0, n2) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20800), (20806) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20810) sum(n0, n2) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20809) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20811) all_4_74 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20808), (20809) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20812) all_4_72 = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20808), (20810) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20813) all_4_72 = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20812), (20813) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20814) all_4_74 = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20814) implies:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20815) all_4_74 = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20811), (20815) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20816) all_4_77 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20813), (20816) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20817) all_4_72 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20811), (20816) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20818) sum(n2, n2) = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20802), (20817) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20819) sum(n2, n2) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (20819) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20820) all_4_98 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20818), (20819) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20821) all_4_98 = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20820), (20821) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20822) all_4_99 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20822) implies:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20823) all_4_99 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (90), (102), (104),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (135), (136), (137), (138),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (191), (192),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (202), (203), (204), (205),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (227), (231), (232), (233), (234),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20479), (20820), (20823) are
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20824) all_4_100 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20824) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20825) pred(n0) = all_4_76
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20824) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20826) succ(n0) = all_4_78
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20826) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20827) all_4_78 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20825) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20828) all_4_76 = n10
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20827), (20828) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20829) sum(n10, n1) = all_4_72
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20798), (20828) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20830) sum(n10, n2) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20800), (20827) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20831) sum(n0, n1) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (20831) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20832) all_4_77 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20829) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20833) all_4_72 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (20830) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20834) all_4_74 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20832), (20834) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20835) sum(n1, n1) = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20802), (20833) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20836) sum(n2, n0) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (20835) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20837) all_4_99 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (20836) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20838) all_4_98 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (66), (92), (105),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (114), (133), (134), (135), (136), (137), (138),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (142), (143), (144), (145),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (147), (148), (149), (150), (189), (195),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (204), (205),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (226), (228), (231), (232), (233), (234),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (20059), (20837), (20838) are
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20839) all_4_101 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20839) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20840) pred(n0) = all_4_79
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20839) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20841) succ(n0) = all_4_75
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (18), (20), (54),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (66), (92), (105), (114), (117), (118), (127),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (129), (130), (131), (132), (133), (134),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (187), (188), (189), (195), (197),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (226), (228), (230), (231),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (20059),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (20792), (20840), (20841) are inconsistent by
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | (20842) ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20203) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20843) all_4_100 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20843) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20844) pred(n4) = all_4_76
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20843) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20845) succ(n4) = all_4_78
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_78, n4,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (20845) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20846) all_4_78 = n5
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_76, n4,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (20844) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20847) all_4_76 = n3
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20847) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20848) sum(n3, all_4_75) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20846), (20847) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20849) sum(n3, n5) = all_4_72
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20846) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20850) sum(all_4_79, n5) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_72, n5, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (20849) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20851) all_4_72 = n8
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20851) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | (20852) sum(all_4_73, n8) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20478) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20853) all_4_101 = n3
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20853) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20854) pred(n3) = all_4_79
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20853) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20855) succ(n3) = all_4_75
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20855) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20856) all_4_75 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20854) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20857) all_4_79 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20856), (20857) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20858) sum(n2, n4) = all_4_73
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20850), (20857) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20859) sum(n2, n5) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20848), (20856) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20860) sum(n3, n4) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20858) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20861) all_4_73 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_77, n5, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (20859) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20862) all_4_77 = n7
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_74, n4, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (20860) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20863) all_4_74 = n7
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20852), (20861) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20864) sum(n6, n8) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20862), (20863) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20865) sum(n7, n7) = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_98, n8, n6,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (20864) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20866) all_4_98 = n3
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_99, n7, n7,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (20865) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20867) all_4_99 = n3
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (20866) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20868) pred(n3) = all_4_68
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (20867) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20869) pred(n3) = all_4_71
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (20866) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20870) succ(n3) = all_4_70
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (20867) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20871) succ(n3) = all_4_67
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_67, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20871) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20872) all_4_67 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20870), (20871) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20873) all_4_67 = all_4_70
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_68, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20868) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20874) all_4_68 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20868), (20869) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20875) all_4_68 = all_4_71
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20872), (20873) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20876) all_4_70 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20876) implies:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20877) all_4_70 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20874), (20875) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20878) all_4_71 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (20872), (20874) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20879) sum(n2, n4) = all_4_66
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (20874), (20877) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20880) sum(n2, n4) = all_4_64
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (20872), (20878) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20881) sum(n2, n4) = all_4_65
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (20877), (20878) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20882) sum(n2, n4) = all_4_69
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_65, n4, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20881) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20883) all_4_65 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n4, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20879), (20881) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20884) all_4_65 = all_4_66
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n4, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20879), (20880) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20885) all_4_64 = all_4_66
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n4, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20880), (20882) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20886) all_4_64 = all_4_69
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20885), (20886) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20887) all_4_66 = all_4_69
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20887) implies:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20888) all_4_66 = all_4_69
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20883), (20884) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20889) all_4_66 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20889) implies:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20890) all_4_66 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20888), (20890) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20891) all_4_69 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20886), (20891) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20892) all_4_64 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (20883), (20892) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20893) sum(n6, n6) = all_4_96
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (20890), (20891) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20894) sum(n6, n6) = all_4_97
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_96, n6, n6,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20893) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20895) all_4_96 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n6, n6,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20893), (20894) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20896) all_4_96 = all_4_97
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20895), (20896) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20897) all_4_97 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (20895) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20898) pred(n1) = all_4_60
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (20897) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20899) pred(n1) = all_4_63
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (20895) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20900) succ(n1) = all_4_62
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (20897) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20901) succ(n1) = all_4_59
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20842) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_59, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20901) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20902) all_4_59 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (139), (140), (141),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (219), (20842), (20866),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20867), (20895), (20897), (20898), (20899),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20900), (20901), (20902) are inconsistent by
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20903) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | all_4_99)
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20866), (20867), (20895), (20897), (20903) are
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #161.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | (20904) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20904) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20905) all_4_101 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20905) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20906) pred(n2) = all_4_79
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20905) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20907) succ(n2) = all_4_75
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20907) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20908) all_4_75 = n3
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20906) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20909) all_4_79 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20908), (20909) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20910) sum(n1, n3) = all_4_73
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20850), (20909) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20911) sum(n1, n5) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20848), (20908) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20912) sum(n3, n3) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20910) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20913) all_4_73 = n4
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_77, n5, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (20911) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20914) all_4_77 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n3, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (20912) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20915) all_4_74 = n6
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20852), (20913) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20916) sum(n4, n8) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20914), (20915) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20917) sum(n6, n6) = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n8, n4,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (20916) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20918) all_4_98 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_99, n6, n6,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20917) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20919) all_4_99 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (102), (133),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (188), (191), (200),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (219), (222), (231), (232),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (20918), (20919) are
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | (20920) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20920) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20921) all_4_101 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20921) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20922) pred(n1) = all_4_79
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20921) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20923) succ(n1) = all_4_75
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (20923) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20924) all_4_75 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (20922) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20925) all_4_79 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20924), (20925) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20926) sum(n0, n2) = all_4_73
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20850), (20925) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20927) sum(n0, n5) = all_4_77
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20848), (20924) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20928) sum(n3, n2) = all_4_74
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20926) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20929) all_4_73 = n2
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n5, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (20927) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20930) all_4_77 = n5
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n2, n3,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (20928) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20931) all_4_74 = n5
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20852), (20929) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20932) sum(n2, n8) = all_4_98
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20930), (20931) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20933) sum(n5, n5) = all_4_99
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n8, n2,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (20932) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20934) all_4_98 = n10
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20933) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20935) all_4_99 = n10
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (105), (114), (133),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (194), (197), (200),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (225), (228), (231), (232),
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (20934), (20935) are
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20936) all_4_101 = n0
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20936) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20937) pred(n0) = all_4_79
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20936) imply:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20938) succ(n0) = all_4_75
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (20938) gives:
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | | (20939) all_4_75 = n1
% 260.38/66.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (20937) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20940) all_4_79 = n10
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20939), (20940) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20941) sum(n10, n1) = all_4_73
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20850), (20940) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20942) sum(n10, n5) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20848), (20939) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20943) sum(n3, n1) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n1, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (20943) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20944) all_4_74 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (20941) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20945) all_4_73 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n5, n10,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (20942) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20946) all_4_77 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20852), (20945) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20947) sum(n0, n8) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20944), (20946) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20948) sum(n4, n4) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n8, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (20947) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20949) all_4_98 = n8
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (20948) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20950) all_4_99 = n8
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (105), (114), (133),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (195), (197), (200),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (226), (228), (231), (232),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (20949), (20950) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | (20951) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | all_4_100 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20478) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20952) all_4_101 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (20952) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20953) pred(n3) = all_4_79
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (20952) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20954) succ(n3) = all_4_75
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_75, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20954) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20955) all_4_75 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_79, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20953) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20956) all_4_79 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (20955) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20957) sum(all_4_76, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20955), (20956) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20958) sum(n2, n4) = all_4_73
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (20956) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20959) sum(n2, all_4_78) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_73, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20958) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20960) all_4_73 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (20960) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | (20961) sum(n6, all_4_72) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20842) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | (20962) ~ (all_4_94 = all_4_95)
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20951) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20963) all_4_100 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20963) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20964) pred(n3) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20963) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20965) succ(n3) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (20965) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20966) all_4_78 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (20964) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20967) all_4_76 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20966), (20967) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20968) sum(n2, n4) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (20967) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20969) sum(n2, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (20966) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20970) sum(n2, n4) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (20969) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20971) all_4_74 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20968), (20969) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20972) all_4_72 = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20968), (20970) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20973) all_4_72 = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20972), (20973) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20974) all_4_74 = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20974) implies:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20975) all_4_74 = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20971), (20975) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20976) all_4_77 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20973), (20976) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20977) all_4_72 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20971), (20976) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20978) sum(n6, n6) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (20977) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20979) sum(n6, n6) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (20979) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20980) all_4_98 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20978), (20979) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20981) all_4_98 = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20980), (20981) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20982) all_4_99 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20982) implies:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20983) all_4_99 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (30), (44), (102), (133),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (188), (191), (200),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (219), (222), (231), (232),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (20980), (20983) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (20984) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20984) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20985) all_4_100 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (20985) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20986) pred(n2) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (20985) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20987) succ(n2) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (20987) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20988) all_4_78 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (20986) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20989) all_4_76 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (20988), (20989) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20990) sum(n1, n3) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (20989) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20991) sum(n1, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (20988) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20992) sum(n2, n3) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (20990) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20993) all_4_72 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (20991) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20994) all_4_74 = n5
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (20992) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20995) all_4_77 = n5
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (20994), (20995) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20996) sum(n5, n5) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (20993) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20997) sum(n6, n4) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (20996) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20998) all_4_99 = n10
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (20997) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (20999) all_4_98 = n10
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (105), (114), (133),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (194), (197), (200),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (225), (228), (231), (232),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (20998), (20999) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21000) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21000) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21001) all_4_100 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21001) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21002) pred(n1) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21001) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21003) succ(n1) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21003) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21004) all_4_78 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21002) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21005) all_4_76 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21004), (21005) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21006) sum(n0, n2) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (21005) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21007) sum(n0, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (21004) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21008) sum(n2, n2) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21006) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21009) all_4_72 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21007) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21010) all_4_74 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21008) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21011) all_4_77 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21010), (21011) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21012) sum(n4, n4) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (21009) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21013) sum(n6, n2) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21012) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21014) all_4_99 = n8
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (21013) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21015) all_4_98 = n8
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (105), (114), (133),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (195), (197), (200),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (226), (228), (231), (232),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (21014), (21015) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21016) all_4_100 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21016) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21017) pred(n0) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21016) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21018) succ(n0) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21018) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21019) all_4_78 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21017) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21020) all_4_76 = n10
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21019), (21020) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21021) sum(n10, n1) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (21020) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21022) sum(n10, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (21019) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21023) sum(n2, n1) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (21023) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21024) all_4_77 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21021) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21025) all_4_72 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (21022) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21026) all_4_74 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21024), (21026) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21027) sum(n3, n3) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (21025) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21028) sum(n6, n0) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21027) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21029) all_4_99 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (21028) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21030) all_4_98 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (68), (133),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (193), (200),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (224), (231), (232),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20962), (21029), (21030) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | (21031) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | all_4_99)
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20951) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21032) all_4_100 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21032) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21033) pred(n3) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21032) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21034) succ(n3) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (21034) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21035) all_4_78 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (21033) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21036) all_4_76 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21035), (21036) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21037) sum(n2, n4) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (21036) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21038) sum(n2, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (21035) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21039) sum(n2, n4) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_74, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (21038) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21040) all_4_74 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21037), (21038) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21041) all_4_72 = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n4, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21037), (21039) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21042) all_4_72 = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21041), (21042) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21043) all_4_74 = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21043) implies:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21044) all_4_74 = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21040), (21044) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21045) all_4_77 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21042), (21045) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21046) all_4_72 = n6
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21040), (21045) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21047) sum(n6, n6) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (21046) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21048) sum(n6, n6) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_98, n6, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (21048) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21049) all_4_98 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n6, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21047), (21048) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21050) all_4_98 = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21049), (21050) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21051) all_4_99 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21051) implies:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21052) all_4_99 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (21049) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21053) pred(n1) = all_4_68
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (21052) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21054) pred(n1) = all_4_71
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (21049) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21055) succ(n1) = all_4_70
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (21052) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21056) succ(n1) = all_4_67
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21031) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_67, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21056) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21057) all_4_67 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21055), (21056) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21058) all_4_67 = all_4_70
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_68, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21053) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21059) all_4_68 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21053), (21054) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21060) all_4_68 = all_4_71
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21057), (21058) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21061) all_4_70 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21059), (21060) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21062) all_4_71 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (21057), (21059) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21063) sum(n0, n2) = all_4_66
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (21059), (21061) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21064) sum(n0, n2) = all_4_64
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (21057), (21062) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21065) sum(n0, n2) = all_4_65
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (21061), (21062) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21066) sum(n0, n2) = all_4_69
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_65, n2, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21065) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21067) all_4_65 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n2, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21063), (21065) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21068) all_4_65 = all_4_66
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n2, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21063), (21064) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21069) all_4_64 = all_4_66
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n2, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21064), (21066) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21070) all_4_64 = all_4_69
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21069), (21070) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21071) all_4_66 = all_4_69
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21071) implies:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21072) all_4_66 = all_4_69
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21067), (21068) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21073) all_4_66 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21073) implies:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21074) all_4_66 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21072), (21074) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21075) all_4_69 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21070), (21075) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21076) all_4_64 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (21067), (21076) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21077) sum(n2, n2) = all_4_96
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (21074), (21075) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21078) sum(n2, n2) = all_4_97
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_97, n2, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21078) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21079) all_4_97 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_96, n2, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21077) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21080) all_4_96 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21031), (21049), (21052), (21079), (21080) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21081) ~ (all_4_98 = all_4_99)
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21049), (21052), (21081) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21082) $false
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21082) is inconsistent.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | (21083) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21083) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21084) all_4_100 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21084) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21085) pred(n2) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21084) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21086) succ(n2) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21086) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21087) all_4_78 = n3
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21085) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21088) all_4_76 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21087), (21088) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21089) sum(n1, n3) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (21088) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21090) sum(n1, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (21087) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21091) sum(n2, n3) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21089) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21092) all_4_72 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n4, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (21090) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21093) all_4_74 = n5
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n3, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (21091) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21094) all_4_77 = n5
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21093), (21094) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21095) sum(n5, n5) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (21092) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21096) sum(n6, n4) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (21095) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21097) all_4_99 = n10
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n4, n6,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (21096) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21098) all_4_98 = n10
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (105), (114), (133), (134), (135),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (197), (200), (201), (228),
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21031), (21097), (21098) are
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (21099) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21099) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21100) all_4_100 = n1
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21100) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21101) pred(n1) = all_4_76
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21100) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21102) succ(n1) = all_4_78
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21102) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21103) all_4_78 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21101) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21104) all_4_76 = n0
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21103), (21104) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21105) sum(n0, n2) = all_4_72
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (21104) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21106) sum(n0, n4) = all_4_74
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (21103) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21107) sum(n2, n2) = all_4_77
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21105) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21108) all_4_72 = n2
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n4, n0,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21106) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21109) all_4_74 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n2, n2,
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21107) gives:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21110) all_4_77 = n4
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21109), (21110) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21111) sum(n4, n4) = all_4_99
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (21108) imply:
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21112) sum(n6, n2) = all_4_98
% 260.38/66.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21111) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21113) all_4_99 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n2, n6,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (21112) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21114) all_4_98 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (133), (134), (135),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (195), (200), (201), (226),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21031), (21113), (21114) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21115) all_4_100 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21115) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21116) pred(n0) = all_4_76
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21115) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21117) succ(n0) = all_4_78
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21117) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21118) all_4_78 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21116) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21119) all_4_76 = n10
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21118), (21119) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21120) sum(n10, n1) = all_4_72
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20957), (21119) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21121) sum(n10, n4) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20959), (21118) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21122) sum(n2, n1) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n1, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (21122) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21123) all_4_77 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21120) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21124) all_4_72 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n4, n10,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (21121) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21125) all_4_74 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21123), (21125) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21126) sum(n3, n3) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20961), (21124) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21127) sum(n6, n0) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21126) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21128) all_4_99 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n0, n6,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (21127) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21129) all_4_98 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (68), (133), (134), (135),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (193), (200), (201), (224),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21031), (21128), (21129) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | (21130) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20842) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | (21131) ~ (all_4_94 = all_4_95)
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20951) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21132) all_4_100 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21132) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21133) pred(n3) = all_4_76
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21132) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21134) succ(n3) = all_4_78
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (21134) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21135) all_4_78 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (21133) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21136) all_4_76 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21136) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21137) sum(n2, all_4_75) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21135), (21136) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21138) sum(n2, n4) = all_4_72
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21135) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21139) sum(all_4_79, n4) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (21138) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21140) all_4_72 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21140) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21141) sum(all_4_73, n6) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21130) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21142) all_4_101 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21142) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21143) pred(n2) = all_4_79
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21142) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21144) succ(n2) = all_4_75
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21144) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21145) all_4_75 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21143) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21146) all_4_79 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21145), (21146) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21147) sum(n1, n3) = all_4_73
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21139), (21146) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21148) sum(n1, n4) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21137), (21145) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21149) sum(n2, n3) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21147) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21150) all_4_73 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (21148) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21151) all_4_77 = n5
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (21149) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21152) all_4_74 = n5
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21141), (21150) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21153) sum(n4, n6) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21151), (21152) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21154) sum(n5, n5) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (21153) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21155) all_4_98 = n10
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (21154) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21156) all_4_99 = n10
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (42), (80), (105), (114), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (194), (197), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (225), (228), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (21155), (21156) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21157) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21157) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21158) all_4_101 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21158) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21159) pred(n1) = all_4_79
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21158) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21160) succ(n1) = all_4_75
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21160) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21161) all_4_75 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21159) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21162) all_4_79 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21161), (21162) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21163) sum(n0, n2) = all_4_73
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21139), (21162) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21164) sum(n0, n4) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21137), (21161) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21165) sum(n2, n2) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21163) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21166) all_4_73 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21164) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21167) all_4_77 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21165) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21168) all_4_74 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21141), (21166) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21169) sum(n2, n6) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21167), (21168) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21170) sum(n4, n4) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (21169) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21171) all_4_98 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21170) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21172) all_4_99 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (105), (114), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (195), (197), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (226), (228), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (21171), (21172) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21173) all_4_101 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21173) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21174) pred(n0) = all_4_79
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21173) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21175) succ(n0) = all_4_75
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21175) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21176) all_4_75 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21174) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21177) all_4_79 = n10
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21176), (21177) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21178) sum(n10, n1) = all_4_73
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21139), (21177) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21179) sum(n10, n4) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21137), (21176) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21180) sum(n2, n1) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (21180) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21181) all_4_74 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21178) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21182) all_4_73 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (21179) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21183) all_4_77 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21141), (21182) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21184) sum(n0, n6) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21181), (21183) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21185) sum(n3, n3) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (21184) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21186) all_4_98 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21185) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21187) all_4_99 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (68), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (193), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (224), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (21131), (21186), (21187) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | (21188) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21130) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21189) all_4_101 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21189) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21190) pred(n2) = all_4_79
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21189) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21191) succ(n2) = all_4_75
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21191) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21192) all_4_75 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21190) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21193) all_4_79 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21192) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21194) sum(all_4_76, n3) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21192), (21193) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21195) sum(n1, n3) = all_4_73
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21193) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21196) sum(n1, all_4_78) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21195) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21197) all_4_73 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21197) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21198) sum(n4, all_4_72) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21188) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21199) all_4_100 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21199) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21200) pred(n2) = all_4_76
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21199) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21201) succ(n2) = all_4_78
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21201) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21202) all_4_78 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21200) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21203) all_4_76 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21202), (21203) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21204) sum(n1, n3) = all_4_72
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21194), (21203) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21205) sum(n1, n3) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21196), (21202) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21206) sum(n1, n3) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21205) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21207) all_4_74 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21204), (21205) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21208) all_4_72 = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21204), (21206) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21209) all_4_72 = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21208), (21209) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21210) all_4_74 = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21210) implies:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21211) all_4_74 = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21207), (21211) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21212) all_4_77 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21209), (21212) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21213) all_4_72 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21207), (21212) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21214) sum(n4, n4) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21198), (21213) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21215) sum(n4, n4) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21215) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21216) all_4_98 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21214), (21215) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21217) all_4_98 = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21216), (21217) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21218) all_4_99 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21218) implies:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21219) all_4_99 = n8
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (105), (114), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (195), (197), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (226), (228), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (20842), (21216), (21219) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21220) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21220) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21221) all_4_100 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21221) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21222) pred(n1) = all_4_76
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21221) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21223) succ(n1) = all_4_78
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21223) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21224) all_4_78 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21222) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21225) all_4_76 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21224), (21225) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21226) sum(n0, n2) = all_4_72
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21194), (21225) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21227) sum(n0, n3) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21196), (21224) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21228) sum(n1, n2) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21226) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21229) all_4_72 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (21227) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21230) all_4_74 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (21228) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21231) all_4_77 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21230), (21231) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21232) sum(n3, n3) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21198), (21229) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21233) sum(n4, n2) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21232) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21234) all_4_99 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (21233) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21235) all_4_98 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (68), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (193), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (224), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (21131), (21234), (21235) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21236) all_4_100 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21236) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21237) pred(n0) = all_4_76
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21236) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21238) succ(n0) = all_4_78
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21238) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21239) all_4_78 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21237) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21240) all_4_76 = n10
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21239), (21240) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21241) sum(n10, n1) = all_4_72
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21194), (21240) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21242) sum(n10, n3) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21196), (21239) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21243) sum(n1, n1) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21243) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21244) all_4_77 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21241) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21245) all_4_72 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (21242) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21246) all_4_74 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21244), (21246) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21247) sum(n2, n2) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21198), (21245) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21248) sum(n4, n0) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21247) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21249) all_4_99 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (21248) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21250) all_4_98 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (102), (126), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (191), (192), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (222), (223), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (21131), (21249), (21250) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (21251) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21188) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21252) all_4_100 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21252) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21253) pred(n2) = all_4_76
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21252) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21254) succ(n2) = all_4_78
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21254) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21255) all_4_78 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21253) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21256) all_4_76 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21256) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21257) sum(n1, all_4_75) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21255), (21256) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21258) sum(n1, n3) = all_4_72
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21255) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21259) sum(all_4_79, n3) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21258) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21260) all_4_72 = n4
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21260) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21261) sum(all_4_73, n4) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21251) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21262) all_4_101 = n1
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21262) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21263) pred(n1) = all_4_79
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21262) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21264) succ(n1) = all_4_75
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21264) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21265) all_4_75 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21263) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21266) all_4_79 = n0
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21265), (21266) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21267) sum(n0, n2) = all_4_73
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21259), (21266) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21268) sum(n0, n3) = all_4_77
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21257), (21265) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21269) sum(n1, n2) = all_4_74
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21267) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21270) all_4_73 = n2
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (21268) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21271) all_4_77 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (21269) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21272) all_4_74 = n3
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21261), (21270) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21273) sum(n2, n4) = all_4_98
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21271), (21272) imply:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21274) sum(n3, n3) = all_4_99
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (21273) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21275) all_4_98 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21274) gives:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21276) all_4_99 = n6
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (20), (54), (68), (133),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (189), (193), (200),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (220), (224), (231), (232),
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (21131), (21275), (21276) are
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21277) all_4_101 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21277) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21278) pred(n0) = all_4_79
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21277) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21279) succ(n0) = all_4_75
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21279) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21280) all_4_75 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21278) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21281) all_4_79 = n10
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21280), (21281) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21282) sum(n10, n1) = all_4_73
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21259), (21281) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21283) sum(n10, n3) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21257), (21280) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21284) sum(n1, n1) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21284) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21285) all_4_74 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21282) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21286) all_4_73 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (21283) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21287) all_4_77 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21261), (21286) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21288) sum(n0, n4) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21285), (21287) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21289) sum(n2, n2) = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21288) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21290) all_4_98 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21289) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21291) all_4_99 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (102), (126), (133),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (191), (192), (200),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (222), (223), (231), (232),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (21131), (21290), (21291) are
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21292) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21251) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21293) all_4_101 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21293) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21294) pred(n1) = all_4_79
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21293) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21295) succ(n1) = all_4_75
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21295) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21296) all_4_75 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21294) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21297) all_4_79 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21296) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21298) sum(all_4_76, n2) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21296), (21297) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21299) sum(n0, n2) = all_4_73
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21297) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21300) sum(n0, all_4_78) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21299) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21301) all_4_73 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21301) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21302) sum(n2, all_4_72) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21292) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21303) all_4_100 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21303) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21304) pred(n1) = all_4_76
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21303) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21305) succ(n1) = all_4_78
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21305) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21306) all_4_78 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21304) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21307) all_4_76 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21306), (21307) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21308) sum(n0, n2) = all_4_72
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21298), (21307) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21309) sum(n0, n2) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21300), (21306) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21310) sum(n0, n2) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21309) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21311) all_4_74 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21308), (21309) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21312) all_4_72 = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21308), (21310) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21313) all_4_72 = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21312), (21313) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21314) all_4_74 = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21314) implies:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21315) all_4_74 = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21311), (21315) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21316) all_4_77 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21313), (21316) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21317) all_4_72 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21311), (21316) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21318) sum(n2, n2) = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21302), (21317) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21319) sum(n2, n2) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21319) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21320) all_4_98 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21318), (21319) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21321) all_4_98 = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21320), (21321) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21322) all_4_99 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21322) implies:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21323) all_4_99 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (56), (102), (126), (133),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (138), (139), (140),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (191), (192), (200),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (222), (223), (231), (232),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (21131), (21320), (21323) are
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21324) all_4_100 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21324) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21325) pred(n0) = all_4_76
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21324) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21326) succ(n0) = all_4_78
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21326) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21327) all_4_78 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21325) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21328) all_4_76 = n10
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21327), (21328) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21329) sum(n10, n1) = all_4_72
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21298), (21328) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21330) sum(n10, n2) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21300), (21327) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21331) sum(n0, n1) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (21331) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21332) all_4_77 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21329) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21333) all_4_72 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (21330) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21334) all_4_74 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21332), (21334) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21335) sum(n1, n1) = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21302), (21333) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21336) sum(n2, n0) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21335) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21337) all_4_99 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (21336) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21338) all_4_98 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (21338) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21339) pred(n2) = all_4_68
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (21337) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21340) pred(n2) = all_4_71
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (21338) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21341) succ(n2) = all_4_70
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (21337) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21342) succ(n2) = all_4_67
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_67, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21342) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21343) all_4_67 = n3
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_70, all_4_67, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21341), (21342) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21344) all_4_67 = all_4_70
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_68, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21339) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21345) all_4_68 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_71, all_4_68, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21339), (21340) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21346) all_4_68 = all_4_71
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21343), (21344) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21347) all_4_70 = n3
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21345), (21346) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21348) all_4_71 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (21343), (21345) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21349) sum(n1, n3) = all_4_66
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (21345), (21347) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21350) sum(n1, n3) = all_4_64
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (21343), (21348) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21351) sum(n1, n3) = all_4_65
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (21347), (21348) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21352) sum(n1, n3) = all_4_69
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_65, n3, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21351) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21353) all_4_65 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_65, n3, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21349), (21351) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21354) all_4_65 = all_4_66
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_66, all_4_64, n3, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21349), (21350) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21355) all_4_64 = all_4_66
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_69, all_4_64, n3, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21350), (21352) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21356) all_4_64 = all_4_69
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21355), (21356) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21357) all_4_66 = all_4_69
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21357) implies:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21358) all_4_66 = all_4_69
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21353), (21354) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21359) all_4_66 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21359) implies:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21360) all_4_66 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21358), (21360) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21361) all_4_69 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21356), (21361) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21362) all_4_64 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (21353), (21362) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21363) sum(n4, n4) = all_4_96
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (21360), (21361) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21364) sum(n4, n4) = all_4_97
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_96, n4, n4,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21363) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21365) all_4_96 = n8
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_97, all_4_96, n4, n4,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21363), (21364) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21366) all_4_96 = all_4_97
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21365), (21366) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21367) all_4_97 = n8
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21367) implies:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21368) all_4_97 = n8
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (21365) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21369) pred(n8) = all_4_60
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (21368) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21370) pred(n8) = all_4_63
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (21365) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21371) succ(n8) = all_4_62
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (21368) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21372) succ(n8) = all_4_59
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_59, n8,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (195), (21372) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21373) all_4_59 = n9
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (139), (140), (141),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (226), (21131), (21369),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21370), (21371), (21372), (21373) are
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21374) all_4_101 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (18), (20), (54),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (66), (92), (105), (114), (117), (118), (127),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (129), (130), (131), (132), (133), (134),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (187), (188), (189), (195), (197),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (200), (201), (202), (203), (204),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (218), (219), (220), (226), (228), (229),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20059), (21292), (21374) are inconsistent by
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21375) all_4_94 = all_4_95
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21376) ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_99)
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (236), (21375) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21377) pred(all_4_95) = all_4_52
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (21375) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21378) succ(all_4_95) = all_4_54
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_51, all_4_54,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_95, simplifying with (204), (21378) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21379) all_4_51 = all_4_54
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_55, all_4_52,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_95, simplifying with (235), (21377) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21380) all_4_52 = all_4_55
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (21379), (21380) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21381) sum(all_4_55, all_4_54) = all_4_50
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (21380) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21382) sum(all_4_55, all_4_54) = all_4_48
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (21379) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21383) sum(all_4_55, all_4_54) = all_4_49
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_53, all_4_49,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_54, all_4_55, simplifying with (145),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21383) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21384) all_4_49 = all_4_53
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_49, all_4_48,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_54, all_4_55, simplifying with (21382),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21383) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21385) all_4_48 = all_4_49
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_50, all_4_48,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_54, all_4_55, simplifying with (21381),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21382) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21386) all_4_48 = all_4_50
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21385), (21386) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21387) all_4_49 = all_4_50
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21387) implies:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21388) all_4_49 = all_4_50
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21384), (21388) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | (21389) all_4_50 = all_4_53
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20951) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21390) all_4_100 = n3
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21390) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21391) pred(n3) = all_4_76
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21390) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21392) succ(n3) = all_4_78
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_78, n3,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (21392) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21393) all_4_78 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_76, n3,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (21391) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21394) all_4_76 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21394) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21395) sum(n2, all_4_75) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21393), (21394) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21396) sum(n2, n4) = all_4_72
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21393) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21397) sum(all_4_79, n4) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_72, n4, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (21396) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21398) all_4_72 = n6
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21398) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21399) sum(all_4_73, n6) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21130) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21400) all_4_101 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21400) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21401) pred(n2) = all_4_79
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21400) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21402) succ(n2) = all_4_75
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21402) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21403) all_4_75 = n3
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21401) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21404) all_4_79 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21403), (21404) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21405) sum(n1, n3) = all_4_73
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21397), (21404) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21406) sum(n1, n4) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21395), (21403) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21407) sum(n2, n3) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21405) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21408) all_4_73 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_77, n4, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (21406) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21409) all_4_77 = n5
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_74, n3, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (21407) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21410) all_4_74 = n5
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21399), (21408) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21411) sum(n4, n6) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21409), (21410) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21412) sum(n5, n5) = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_98, n6, n4,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (21411) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21413) all_4_98 = n10
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_99, n5, n5,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (21412) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21414) all_4_99 = n10
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (105), (114), (133), (134), (135),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (197), (200), (201), (228),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21376), (21413), (21414) are
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21415) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21415) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21416) all_4_101 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21416) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21417) pred(n1) = all_4_79
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21416) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21418) succ(n1) = all_4_75
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21418) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21419) all_4_75 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21417) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21420) all_4_79 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21419), (21420) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21421) sum(n0, n2) = all_4_73
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21397), (21420) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21422) sum(n0, n4) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21395), (21419) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21423) sum(n2, n2) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21421) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21424) all_4_73 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_77, n4, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21422) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21425) all_4_77 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n2, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21423) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21426) all_4_74 = n4
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21399), (21424) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21427) sum(n2, n6) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21425), (21426) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21428) sum(n4, n4) = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n6, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (21427) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21429) all_4_98 = n8
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_99, n4, n4,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21428) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21430) all_4_99 = n8
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (133), (134), (135),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (195), (200), (201), (226),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21376), (21429), (21430) are
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21431) all_4_101 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21431) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21432) pred(n0) = all_4_79
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21431) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21433) succ(n0) = all_4_75
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21433) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21434) all_4_75 = n1
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21432) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21435) all_4_79 = n10
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21434), (21435) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21436) sum(n10, n1) = all_4_73
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21397), (21435) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21437) sum(n10, n4) = all_4_77
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21395), (21434) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21438) sum(n2, n1) = all_4_74
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n1, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (21438) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21439) all_4_74 = n3
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21436) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21440) all_4_73 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n4, n10,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (21437) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21441) all_4_77 = n3
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21399), (21440) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21442) sum(n0, n6) = all_4_98
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21439), (21441) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21443) sum(n3, n3) = all_4_99
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n6, n0,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (21442) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21444) all_4_98 = n6
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21443) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21445) all_4_99 = n6
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (68), (133), (134), (135),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (193), (200), (201), (224),
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21376), (21444), (21445) are
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | (21446) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21130) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21447) all_4_101 = n2
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21447) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21448) pred(n2) = all_4_79
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21447) imply:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21449) succ(n2) = all_4_75
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_75, n2,
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21449) gives:
% 260.38/66.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (21450) all_4_75 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_79, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21448) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21451) all_4_79 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21450) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21452) sum(all_4_76, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21450), (21451) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21453) sum(n1, n3) = all_4_73
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21451) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21454) sum(n1, all_4_78) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_73, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21453) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21455) all_4_73 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21455) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21456) sum(n4, all_4_72) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21376) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21457) ~ (all_4_96 = all_4_97)
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21446) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21458) all_4_100 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21458) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21459) pred(n2) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21458) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21460) succ(n2) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21460) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21461) all_4_78 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21459) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21462) all_4_76 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21461), (21462) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21463) sum(n1, n3) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21452), (21462) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21464) sum(n1, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (21461) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21465) sum(n1, n3) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21464) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21466) all_4_74 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21463), (21464) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21467) all_4_72 = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21463), (21465) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21468) all_4_72 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21467), (21468) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21469) all_4_74 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21469) implies:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21470) all_4_74 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21466), (21470) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21471) all_4_77 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21468), (21471) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21472) all_4_72 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21466), (21471) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21473) sum(n4, n4) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (21472) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21474) sum(n4, n4) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21474) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21475) all_4_98 = n8
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21473), (21474) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21476) all_4_98 = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21475), (21476) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21477) all_4_99 = n8
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21477) implies:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21478) all_4_99 = n8
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (66), (92), (133), (134), (135),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (195), (200), (201), (226),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21376), (21475), (21478) are
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21479) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21479) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21480) all_4_100 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21480) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21481) pred(n1) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21480) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21482) succ(n1) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21482) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21483) all_4_78 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21481) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21484) all_4_76 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21483), (21484) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21485) sum(n0, n2) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21452), (21484) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21486) sum(n0, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (21483) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21487) sum(n1, n2) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21485) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21488) all_4_72 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (21486) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21489) all_4_74 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (21487) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21490) all_4_77 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21489), (21490) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21491) sum(n3, n3) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (21488) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21492) sum(n4, n2) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21491) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21493) all_4_99 = n6
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (21492) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21494) all_4_98 = n6
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (68), (133), (134), (135),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (193), (200), (201), (224),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21376), (21493), (21494) are
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21495) all_4_100 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21495) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21496) pred(n0) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21495) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21497) succ(n0) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21497) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21498) all_4_78 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21496) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21499) all_4_76 = n10
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21498), (21499) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21500) sum(n10, n1) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21452), (21499) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21501) sum(n10, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (21498) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21502) sum(n1, n1) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21502) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21503) all_4_77 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21500) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21504) all_4_72 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (21501) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21505) all_4_74 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21503), (21505) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21506) sum(n2, n2) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (21504) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21507) sum(n4, n0) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21506) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21508) all_4_99 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (21507) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21509) all_4_98 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (102), (133), (134), (135),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (191), (200), (201), (222),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21457), (21508), (21509) are
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21510) ~ (all_4_98 = all_4_99)
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21446) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21511) all_4_100 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21511) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21512) pred(n2) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21511) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21513) succ(n2) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21513) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21514) all_4_78 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21512) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21515) all_4_76 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21514), (21515) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21516) sum(n1, n3) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21452), (21515) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21517) sum(n1, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (21514) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21518) sum(n1, n3) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_74, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21517) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21519) all_4_74 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21516), (21517) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21520) all_4_72 = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21516), (21518) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21521) all_4_72 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21520), (21521) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21522) all_4_74 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21522) implies:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21523) all_4_74 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21519), (21523) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21524) all_4_77 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21521), (21524) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21525) all_4_72 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21519), (21524) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21526) sum(n4, n4) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (21525) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21527) sum(n4, n4) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_98, n4, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (21527) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21528) all_4_98 = n8
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n4, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21526), (21527) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21529) all_4_98 = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21528), (21529) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21530) all_4_99 = n8
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21530) implies:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21531) all_4_99 = n8
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21510), (21528), (21531) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21532) $false
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21532) is inconsistent.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21533) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21533) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21534) all_4_100 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21534) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21535) pred(n1) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21534) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21536) succ(n1) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21536) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21537) all_4_78 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21535) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21538) all_4_76 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21537), (21538) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21539) sum(n0, n2) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21452), (21538) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21540) sum(n0, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (21537) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21541) sum(n1, n2) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_72, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21539) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21542) all_4_72 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n3, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (21540) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21543) all_4_74 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n2, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (21541) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21544) all_4_77 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21543), (21544) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21545) sum(n3, n3) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (21542) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21546) sum(n4, n2) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21545) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21547) all_4_99 = n6
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n2, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (21546) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21548) all_4_98 = n6
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21510), (21547), (21548) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21549) $false
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21549) is inconsistent.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21550) all_4_100 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21550) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21551) pred(n0) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21550) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21552) succ(n0) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21552) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21553) all_4_78 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21551) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21554) all_4_76 = n10
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21553), (21554) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21555) sum(n10, n1) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21452), (21554) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21556) sum(n10, n3) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (21553) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21557) sum(n1, n1) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n1, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21557) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21558) all_4_77 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21555) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21559) all_4_72 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n3, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (21556) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21560) all_4_74 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21558), (21560) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21561) sum(n2, n2) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (21559) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21562) sum(n4, n0) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21561) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21563) all_4_99 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n0, n4,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (21562) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21564) all_4_98 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21510), (21563), (21564) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21565) $false
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21565) is inconsistent.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (21566) all_4_101 = n1 | all_4_101 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21376) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21567) ~ (all_4_96 = all_4_97)
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21446) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21568) all_4_100 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21568) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21569) pred(n2) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21568) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21570) succ(n2) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21570) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21571) all_4_78 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21569) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21572) all_4_76 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21572) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21573) sum(n1, all_4_75) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21571), (21572) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21574) sum(n1, n3) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21571) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21575) sum(all_4_79, n3) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21574) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21576) all_4_72 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21576) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21577) sum(all_4_73, n4) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21566) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21578) all_4_101 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21578) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21579) pred(n1) = all_4_79
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21578) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21580) succ(n1) = all_4_75
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21580) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21581) all_4_75 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21579) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21582) all_4_79 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21581), (21582) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21583) sum(n0, n2) = all_4_73
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21575), (21582) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21584) sum(n0, n3) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21573), (21581) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21585) sum(n1, n2) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21583) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21586) all_4_73 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (21584) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21587) all_4_77 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (21585) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21588) all_4_74 = n3
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21577), (21586) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21589) sum(n2, n4) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21587), (21588) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21590) sum(n3, n3) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (21589) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21591) all_4_98 = n6
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21590) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21592) all_4_99 = n6
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (18), (68), (133), (134), (135),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (193), (200), (201), (224),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21376), (21591), (21592) are
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21593) all_4_101 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21593) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21594) pred(n0) = all_4_79
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21593) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21595) succ(n0) = all_4_75
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21595) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21596) all_4_75 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21594) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21597) all_4_79 = n10
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21596), (21597) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21598) sum(n10, n1) = all_4_73
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21575), (21597) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21599) sum(n10, n3) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21573), (21596) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21600) sum(n1, n1) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21600) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21601) all_4_74 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21598) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21602) all_4_73 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (21599) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21603) all_4_77 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21577), (21602) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21604) sum(n0, n4) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21601), (21603) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21605) sum(n2, n2) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21604) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21606) all_4_98 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21605) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21607) all_4_99 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (102), (133), (134), (135),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (191), (200), (201), (222),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21567), (21606), (21607) are
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21608) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21566) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21609) all_4_101 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21609) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21610) pred(n1) = all_4_79
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21609) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21611) succ(n1) = all_4_75
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21611) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21612) all_4_75 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21610) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21613) all_4_79 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21612) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21614) sum(all_4_76, n2) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21612), (21613) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21615) sum(n0, n2) = all_4_73
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21613) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21616) sum(n0, all_4_78) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21615) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21617) all_4_73 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21617) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21618) sum(n2, all_4_72) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21608) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21619) all_4_100 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21619) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21620) pred(n1) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21619) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21621) succ(n1) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21621) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21622) all_4_78 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21620) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21623) all_4_76 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21622), (21623) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21624) sum(n0, n2) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21614), (21623) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21625) sum(n0, n2) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21616), (21622) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21626) sum(n0, n2) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21625) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21627) all_4_74 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21624), (21625) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21628) all_4_72 = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21624), (21626) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21629) all_4_72 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21628), (21629) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21630) all_4_74 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21630) implies:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21631) all_4_74 = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21627), (21631) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21632) all_4_77 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21629), (21632) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21633) all_4_72 = n2
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21627), (21632) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21634) sum(n2, n2) = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21618), (21633) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21635) sum(n2, n2) = all_4_98
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21635) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21636) all_4_98 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21634), (21635) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21637) all_4_98 = all_4_99
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21636), (21637) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21638) all_4_99 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21638) implies:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21639) all_4_99 = n4
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (44), (102), (133), (134), (135),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (191), (200), (201), (222),
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (21567), (21636), (21639) are
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21640) all_4_100 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21640) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21641) pred(n0) = all_4_76
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21640) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21642) succ(n0) = all_4_78
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21642) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21643) all_4_78 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21641) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21644) all_4_76 = n10
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21643), (21644) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21645) sum(n10, n1) = all_4_72
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21614), (21644) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21646) sum(n10, n2) = all_4_74
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21616), (21643) imply:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21647) sum(n0, n1) = all_4_77
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (21647) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21648) all_4_77 = n1
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21645) gives:
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21649) all_4_72 = n0
% 260.38/66.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (21646) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21650) all_4_74 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21648), (21650) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21651) sum(n1, n1) = all_4_99
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21618), (21649) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21652) sum(n2, n0) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21651) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21653) all_4_99 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (21652) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21654) all_4_98 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (21654) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21655) pred(n2) = all_4_68
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (21653) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21656) pred(n2) = all_4_71
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (21654) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21657) succ(n2) = all_4_70
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (21653) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21658) succ(n2) = all_4_67
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (20), (54), (133), (134), (135),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (137), (138), (189), (220), (21376),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21653), (21654), (21655), (21656), (21657),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21658) are inconsistent by sub-proof #73.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21659) all_4_101 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (18), (20), (54),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (66), (92), (105), (114), (117), (118), (127),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (129), (130), (131), (132), (133), (134),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (187), (188), (189), (195), (197),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (200), (201), (202), (203), (204),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (218), (219), (220), (226), (228), (229),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20059), (21608), (21659) are inconsistent by
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21660) all_4_96 = all_4_97
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21661) ~ (all_4_98 = all_4_99)
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (21660) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21662) pred(all_4_97) = all_4_60
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (21660) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21663) succ(all_4_97) = all_4_62
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_4_59, all_4_62,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_97, simplifying with (202), (21663) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21664) all_4_59 = all_4_62
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_4_63, all_4_60,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_97, simplifying with (233), (21662) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21665) all_4_60 = all_4_63
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (21664), (21665) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21666) sum(all_4_63, all_4_62) = all_4_58
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (21665) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21667) sum(all_4_63, all_4_62) = all_4_56
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (21664) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21668) sum(all_4_63, all_4_62) = all_4_57
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_61, all_4_57,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_62, all_4_63, simplifying with (139),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21668) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21669) all_4_57 = all_4_61
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_57, all_4_56,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_62, all_4_63, simplifying with (21667),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21668) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21670) all_4_56 = all_4_57
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_58, all_4_56,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_62, all_4_63, simplifying with (21666),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21667) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21671) all_4_56 = all_4_58
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21670), (21671) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21672) all_4_57 = all_4_58
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21672) implies:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21673) all_4_57 = all_4_58
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21669), (21673) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21674) all_4_58 = all_4_61
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21446) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21675) all_4_100 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21675) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21676) pred(n2) = all_4_76
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21675) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21677) succ(n2) = all_4_78
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_78, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (21677) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21678) all_4_78 = n3
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_76, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (21676) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21679) all_4_76 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21679) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21680) sum(n1, all_4_75) = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21678), (21679) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21681) sum(n1, n3) = all_4_72
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21678) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21682) sum(all_4_79, n3) = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_72, n3, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (21681) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21683) all_4_72 = n4
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21683) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21684) sum(all_4_73, n4) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21566) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21685) all_4_101 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21685) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21686) pred(n1) = all_4_79
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21685) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21687) succ(n1) = all_4_75
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21687) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21688) all_4_75 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21686) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21689) all_4_79 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21688), (21689) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21690) sum(n0, n2) = all_4_73
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21682), (21689) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21691) sum(n0, n3) = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21680), (21688) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21692) sum(n1, n2) = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21690) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21693) all_4_73 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_77, n3, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (21691) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21694) all_4_77 = n3
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_74, n2, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (21692) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21695) all_4_74 = n3
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21684), (21693) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21696) sum(n2, n4) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21694), (21695) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21697) sum(n3, n3) = all_4_99
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_98, n4, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (21696) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21698) all_4_98 = n6
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_99, n3, n3,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (21697) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21699) all_4_99 = n6
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21661), (21698), (21699) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21700) $false
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21700) is inconsistent.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21701) all_4_101 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21701) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21702) pred(n0) = all_4_79
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21701) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21703) succ(n0) = all_4_75
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_75, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21703) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21704) all_4_75 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_79, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21702) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21705) all_4_79 = n10
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21704), (21705) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21706) sum(n10, n1) = all_4_73
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21682), (21705) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21707) sum(n10, n3) = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21680), (21704) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21708) sum(n1, n1) = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n1, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21708) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21709) all_4_74 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_73, n1, n10,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21706) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21710) all_4_73 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_77, n3, n10,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (21707) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21711) all_4_77 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21684), (21710) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21712) sum(n0, n4) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21709), (21711) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21713) sum(n2, n2) = all_4_99
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n4, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (21712) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21714) all_4_98 = n4
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_99, n2, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21713) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21715) all_4_99 = n4
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21661), (21714), (21715) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21716) $false
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21716) is inconsistent.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21717) all_4_100 = n1 | all_4_100 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21566) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21718) all_4_101 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (21718) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21719) pred(n1) = all_4_79
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (21718) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21720) succ(n1) = all_4_75
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_75, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21720) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21721) all_4_75 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_79, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21719) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21722) all_4_79 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (21721) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21723) sum(all_4_76, n2) = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21721), (21722) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21724) sum(n0, n2) = all_4_73
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (21722) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21725) sum(n0, all_4_78) = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_73, n2, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21724) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21726) all_4_73 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (21726) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21727) sum(n2, all_4_72) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21717) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21728) all_4_100 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21728) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21729) pred(n1) = all_4_76
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21728) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21730) succ(n1) = all_4_78
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_78, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (21730) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21731) all_4_78 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_76, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (21729) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21732) all_4_76 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21731), (21732) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21733) sum(n0, n2) = all_4_72
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21723), (21732) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21734) sum(n0, n2) = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21725), (21731) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21735) sum(n0, n2) = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_74, n2, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21734) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21736) all_4_74 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_74, all_4_72, n2, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21733), (21734) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21737) all_4_72 = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_77, all_4_72, n2, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21733), (21735) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21738) all_4_72 = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21737), (21738) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21739) all_4_74 = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21739) implies:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21740) all_4_74 = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21736), (21740) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21741) all_4_77 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21738), (21741) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21742) all_4_72 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21736), (21741) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21743) sum(n2, n2) = all_4_99
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21727), (21742) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21744) sum(n2, n2) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_98, n2, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (21744) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21745) all_4_98 = n4
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_99, all_4_98, n2, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21743), (21744) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21746) all_4_98 = all_4_99
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21745), (21746) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21747) all_4_99 = n4
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21747) implies:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21748) all_4_99 = n4
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21661), (21745), (21748) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21749) $false
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21749) is inconsistent.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21750) all_4_100 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (21750) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21751) pred(n0) = all_4_76
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (21750) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21752) succ(n0) = all_4_78
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_78, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (21752) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21753) all_4_78 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_76, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (21751) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21754) all_4_76 = n10
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (21753), (21754) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21755) sum(n10, n1) = all_4_72
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21723), (21754) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21756) sum(n10, n2) = all_4_74
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21725), (21753) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21757) sum(n0, n1) = all_4_77
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_77, n1, n0,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (21757) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21758) all_4_77 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_72, n1, n10,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (21755) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21759) all_4_72 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_74, n2, n10,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (21756) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21760) all_4_74 = n1
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (21758), (21760) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21761) sum(n1, n1) = all_4_99
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21727), (21759) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21762) sum(n2, n0) = all_4_98
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_99, n1, n1,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (21761) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21763) all_4_99 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_98, n0, n2,
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (21762) gives:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21764) all_4_98 = n2
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21661), (21763), (21764) imply:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21765) $false
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21765) is inconsistent.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21766) all_4_101 = n0
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (18), (20), (54),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (66), (92), (105), (114), (117), (118), (127),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (129), (130), (131), (132), (133), (134),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (137), (138), (139), (140), (141),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (146), (147), (148),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (187), (188), (189), (195), (197),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (200), (201), (202), (203), (204),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (205), (218), (219), (220), (226), (228), (229),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20059), (21717), (21766) are inconsistent by
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | | |
% 260.38/66.28 | | | | | | | | | End of split
% 260.38/66.28 | | | | | | | | |
% 260.38/66.28 | | | | | | | | End of split
% 260.38/66.28 | | | | | | | |
% 260.38/66.28 | | | | | | | End of split
% 260.38/66.28 | | | | | | |
% 260.38/66.28 | | | | | | End of split
% 260.38/66.28 | | | | | |
% 260.38/66.28 | | | | | End of split
% 260.38/66.28 | | | | |
% 260.38/66.28 | | | | End of split
% 260.38/66.28 | | | |
% 260.38/66.28 | | | End of split
% 260.38/66.28 | | |
% 260.38/66.28 | | End of split
% 260.38/66.28 | |
% 260.38/66.28 | End of split
% 260.38/66.28 |
% 260.38/66.28 End of proof
% 260.38/66.28
% 260.38/66.28 Sub-proof #1 shows that the following formulas are inconsistent:
% 260.38/66.28 ----------------------------------------------------------------
% 260.38/66.28 (1) sum(all_4_71, all_4_70) = all_4_69
% 260.38/66.28 (2) sum(n8, n8) = n5
% 260.38/66.28 (3) pred(all_4_99) = all_4_71
% 260.38/66.28 (4) sum(n3, n5) = n8
% 260.38/66.28 (5) sum(all_4_65, all_4_64) = all_4_96
% 260.38/66.28 (6) pred(n4) = n3
% 260.53/66.28 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.53/66.28 ~ (succ(v2) = v0))
% 260.53/66.28 (8) succ(all_4_99) = all_4_67
% 260.53/66.28 (9) ~ (all_4_96 = all_4_97)
% 260.53/66.28 (10) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.28 (11) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.28 (12) all_4_99 = n4
% 260.53/66.28 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.28 (14) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.28 (15) succ(n4) = n5
% 260.53/66.28 (16) succ(all_4_98) = all_4_70
% 260.53/66.28 (17) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.28 (18) all_4_98 = n4
% 260.53/66.28 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.28 | ~ (pred(v2) = v0))
% 260.53/66.28 (20) pred(all_4_98) = all_4_68
% 260.53/66.28
% 260.53/66.28 Begin of proof
% 260.53/66.28 |
% 260.53/66.28 | REDUCE: (18), (20) imply:
% 260.53/66.28 | (21) pred(n4) = all_4_68
% 260.53/66.28 |
% 260.53/66.28 | REDUCE: (3), (12) imply:
% 260.53/66.28 | (22) pred(n4) = all_4_71
% 260.53/66.28 |
% 260.53/66.28 | REDUCE: (16), (18) imply:
% 260.53/66.28 | (23) succ(n4) = all_4_70
% 260.53/66.28 |
% 260.53/66.28 | REDUCE: (8), (12) imply:
% 260.53/66.28 | (24) succ(n4) = all_4_67
% 260.53/66.28 |
% 260.53/66.28 | GROUND_INST: instantiating (7) with n5, all_4_67, n4, simplifying with (15),
% 260.53/66.28 | (24) gives:
% 260.53/66.28 | (25) all_4_67 = n5
% 260.53/66.28 |
% 260.53/66.28 | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (13), (14), (17),
% 260.53/66.28 | (19), (21), (22), (23), (24), (25) are inconsistent by sub-proof
% 260.53/66.28 | #97.
% 260.53/66.28 |
% 260.53/66.28 End of proof
% 260.53/66.28
% 260.53/66.28 Sub-proof #2 shows that the following formulas are inconsistent:
% 260.53/66.28 ----------------------------------------------------------------
% 260.53/66.28 (1) succ(all_4_95) = all_4_51
% 260.53/66.28 (2) succ(n1) = n2
% 260.53/66.28 (3) pred(all_4_95) = all_4_55
% 260.53/66.28 (4) sum(all_4_76, all_4_78) = all_4_72
% 260.53/66.28 (5) sum(n9, n0) = n9
% 260.53/66.28 (6) sum(n0, n1) = n1
% 260.53/66.28 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.28 (8) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.28 (9) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.28 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.28 (11) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.28 (12) pred(all_4_101) = all_4_79
% 260.53/66.28 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.28 (14) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.53/66.28 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.28 (15) succ(all_4_94) = all_4_54
% 260.53/66.28 (16) sum(n10, n1) = n0
% 260.53/66.28 (17) pred(n8) = n7
% 260.53/66.28 (18) pred(all_4_99) = all_4_71
% 260.53/66.28 (19) succ(n0) = n1
% 260.53/66.28 (20) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.28 (21) sum(n0, n2) = n2
% 260.53/66.28 (22) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.28 (23) succ(n10) = n0
% 260.53/66.29 (24) succ(all_4_100) = all_4_78
% 260.53/66.29 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.29 | ~ (succ(v2) = v0))
% 260.53/66.29 (26) pred(all_4_97) = all_4_63
% 260.53/66.29 (27) succ(all_4_99) = all_4_67
% 260.53/66.29 (28) pred(all_4_96) = all_4_60
% 260.53/66.29 (29) succ(all_4_96) = all_4_62
% 260.53/66.29 (30) sum(n0, n0) = n0
% 260.53/66.29 (31) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.29 (32) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.29 (33) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.29 (34) sum(n5, n5) = n10
% 260.53/66.29 (35) succ(n2) = n3
% 260.53/66.29 (36) sum(all_4_79, all_4_78) = all_4_77
% 260.53/66.29 (37) sum(all_4_76, all_4_75) = all_4_74
% 260.53/66.29 (38) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.29 (39) all_4_101 = n0
% 260.53/66.29 (40) succ(n8) = n9
% 260.53/66.29 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.29 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.29 (42) sum(n9, n9) = n7
% 260.53/66.29 (43) pred(n10) = n9
% 260.53/66.29 (44) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.29 (45) sum(n7, n9) = n5
% 260.53/66.29 (46) sum(all_4_79, all_4_75) = all_4_73
% 260.53/66.29 (47) sum(n10, n2) = n1
% 260.53/66.29 (48) pred(n2) = n1
% 260.53/66.29 (49) succ(all_4_98) = all_4_70
% 260.53/66.29 (50) sum(n4, n4) = n8
% 260.53/66.29 (51) pred(n1) = n0
% 260.53/66.29 (52) succ(all_4_101) = all_4_75
% 260.53/66.29 (53) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.29 (54) succ(all_4_97) = all_4_59
% 260.53/66.29 (55) all_4_100 = n1 | all_4_100 = n0
% 260.53/66.29 (56) sum(all_4_77, all_4_74) = all_4_99
% 260.53/66.29 (57) sum(all_4_73, all_4_72) = all_4_98
% 260.53/66.29 (58) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.29 (59) pred(all_4_100) = all_4_76
% 260.53/66.29 (60) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.29 (61) sum(n1, n3) = n4
% 260.53/66.29 (62) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.29 | ~ (pred(v2) = v0))
% 260.53/66.29 (63) sum(n1, n1) = n2
% 260.53/66.29 (64) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.29 (65) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.29 (66) pred(all_4_98) = all_4_68
% 260.53/66.29 (67) pred(n0) = n10
% 260.53/66.29 (68) pred(all_4_94) = all_4_52
% 260.53/66.29
% 260.53/66.29 Begin of proof
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (12), (39) imply:
% 260.53/66.29 | (69) pred(n0) = all_4_79
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (39), (52) imply:
% 260.53/66.29 | (70) succ(n0) = all_4_75
% 260.53/66.29 |
% 260.53/66.29 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 260.53/66.29 | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 260.53/66.29 | (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 260.53/66.29 | (36), (37), (38), (40), (41), (42), (43), (44), (45), (46), (47),
% 260.53/66.29 | (48), (49), (50), (51), (53), (54), (55), (56), (57), (58), (59),
% 260.53/66.29 | (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), (70)
% 260.53/66.29 | are inconsistent by sub-proof #8.
% 260.53/66.29 |
% 260.53/66.29 End of proof
% 260.53/66.29
% 260.53/66.29 Sub-proof #3 shows that the following formulas are inconsistent:
% 260.53/66.29 ----------------------------------------------------------------
% 260.53/66.29 (1) sum(n4, n6) = n10
% 260.53/66.29 (2) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.29 (3) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.29 (4) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.29 (5) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.29 (6) sum(n8, n8) = n5
% 260.53/66.29 (7) pred(all_4_99) = all_4_71
% 260.53/66.29 (8) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.29 (9) sum(n3, n5) = n8
% 260.53/66.29 (10) sum(n10, n10) = n9
% 260.53/66.29 (11) pred(n5) = n4
% 260.53/66.29 (12) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.29 (13) pred(n4) = n3
% 260.53/66.29 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.29 | ~ (succ(v2) = v0))
% 260.53/66.29 (15) pred(all_4_97) = all_4_63
% 260.53/66.29 (16) succ(all_4_99) = all_4_67
% 260.53/66.29 (17) pred(all_4_96) = all_4_60
% 260.53/66.29 (18) succ(all_4_96) = all_4_62
% 260.53/66.29 (19) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.29 (20) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.29 (21) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.29 (22) all_4_99 = n4
% 260.53/66.29 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.29 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.29 (24) succ(n5) = n6
% 260.53/66.29 (25) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.29 (26) succ(n4) = n5
% 260.53/66.29 (27) succ(all_4_98) = all_4_70
% 260.53/66.29 (28) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.29 (29) succ(all_4_97) = all_4_59
% 260.53/66.29 (30) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.29 (31) ~ (all_4_94 = all_4_95)
% 260.53/66.29 (32) all_4_98 = n4
% 260.53/66.29 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.29 | ~ (pred(v2) = v0))
% 260.53/66.29 (34) pred(all_4_98) = all_4_68
% 260.53/66.29
% 260.53/66.29 Begin of proof
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (32), (34) imply:
% 260.53/66.29 | (35) pred(n4) = all_4_68
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (7), (22) imply:
% 260.53/66.29 | (36) pred(n4) = all_4_71
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (27), (32) imply:
% 260.53/66.29 | (37) succ(n4) = all_4_70
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (16), (22) imply:
% 260.53/66.29 | (38) succ(n4) = all_4_67
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (14) with n5, all_4_67, n4, simplifying with (26),
% 260.53/66.29 | (38) gives:
% 260.53/66.29 | (39) all_4_67 = n5
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (14) with all_4_70, all_4_67, n4, simplifying with
% 260.53/66.29 | (37), (38) gives:
% 260.53/66.29 | (40) all_4_67 = all_4_70
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (33) with n3, all_4_68, n4, simplifying with (13),
% 260.53/66.29 | (35) gives:
% 260.53/66.29 | (41) all_4_68 = n3
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (33) with all_4_71, all_4_68, n4, simplifying with
% 260.53/66.29 | (35), (36) gives:
% 260.53/66.29 | (42) all_4_68 = all_4_71
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (39), (40) imply:
% 260.53/66.29 | (43) all_4_70 = n5
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (41), (42) imply:
% 260.53/66.29 | (44) all_4_71 = n3
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (21), (39), (41) imply:
% 260.53/66.29 | (45) sum(n3, n5) = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (28), (41), (43) imply:
% 260.53/66.29 | (46) sum(n3, n5) = all_4_64
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (19), (39), (44) imply:
% 260.53/66.29 | (47) sum(n3, n5) = all_4_65
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (3), (43), (44) imply:
% 260.53/66.29 | (48) sum(n3, n5) = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (23) with n8, all_4_65, n5, n3, simplifying with
% 260.53/66.29 | (9), (47) gives:
% 260.53/66.29 | (49) all_4_65 = n8
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (23) with all_4_66, all_4_65, n5, n3, simplifying
% 260.53/66.29 | with (45), (47) gives:
% 260.53/66.29 | (50) all_4_65 = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (23) with all_4_66, all_4_64, n5, n3, simplifying
% 260.53/66.29 | with (45), (46) gives:
% 260.53/66.29 | (51) all_4_64 = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (23) with all_4_69, all_4_64, n5, n3, simplifying
% 260.53/66.29 | with (46), (48) gives:
% 260.53/66.29 | (52) all_4_64 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (51), (52) imply:
% 260.53/66.29 | (53) all_4_66 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (53) implies:
% 260.53/66.29 | (54) all_4_66 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (49), (50) imply:
% 260.53/66.29 | (55) all_4_66 = n8
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (55) implies:
% 260.53/66.29 | (56) all_4_66 = n8
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (54), (56) imply:
% 260.53/66.29 | (57) all_4_69 = n8
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (52), (57) imply:
% 260.53/66.29 | (58) all_4_64 = n8
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (12), (49), (58) imply:
% 260.53/66.29 | (59) sum(n8, n8) = all_4_96
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (25), (56), (57) imply:
% 260.53/66.29 | (60) sum(n8, n8) = all_4_97
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (23) with n5, all_4_96, n8, n8, simplifying with
% 260.53/66.29 | (6), (59) gives:
% 260.53/66.29 | (61) all_4_96 = n5
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (23) with all_4_97, all_4_96, n8, n8, simplifying
% 260.53/66.29 | with (59), (60) gives:
% 260.53/66.29 | (62) all_4_96 = all_4_97
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (61), (62) imply:
% 260.53/66.29 | (63) all_4_97 = n5
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (63) implies:
% 260.53/66.29 | (64) all_4_97 = n5
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (17), (61) imply:
% 260.53/66.29 | (65) pred(n5) = all_4_60
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (15), (64) imply:
% 260.53/66.29 | (66) pred(n5) = all_4_63
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (18), (61) imply:
% 260.53/66.29 | (67) succ(n5) = all_4_62
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (29), (64) imply:
% 260.53/66.29 | (68) succ(n5) = all_4_59
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (14) with n6, all_4_59, n5, simplifying with (24),
% 260.53/66.29 | (68) gives:
% 260.53/66.29 | (69) all_4_59 = n6
% 260.53/66.29 |
% 260.53/66.29 | REF_CLOSE: (1), (2), (4), (5), (8), (10), (11), (14), (20), (23), (30), (31),
% 260.53/66.29 | (33), (65), (66), (67), (68), (69) are inconsistent by sub-proof
% 260.53/66.29 | #103.
% 260.53/66.29 |
% 260.53/66.29 End of proof
% 260.53/66.29
% 260.53/66.29 Sub-proof #4 shows that the following formulas are inconsistent:
% 260.53/66.29 ----------------------------------------------------------------
% 260.53/66.29 (1) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.29 (2) pred(all_4_99) = all_4_71
% 260.53/66.29 (3) all_4_98 = n6
% 260.53/66.29 (4) sum(n5, n7) = n1
% 260.53/66.29 (5) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.29 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.53/66.29 ~ (succ(v2) = v0))
% 260.53/66.29 (7) succ(all_4_99) = all_4_67
% 260.53/66.29 (8) pred(n6) = n5
% 260.53/66.29 (9) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.29 (10) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.29 (11) succ(n6) = n7
% 260.53/66.29 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.29 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.29 (13) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.29 (14) succ(all_4_98) = all_4_70
% 260.53/66.29 (15) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.29 (16) all_4_99 = n6
% 260.53/66.29 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.29 | ~ (pred(v2) = v0))
% 260.53/66.29 (18) sum(n1, n1) = n2
% 260.53/66.29 (19) pred(all_4_98) = all_4_68
% 260.53/66.29 (20) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.29
% 260.53/66.29 Begin of proof
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (3), (19) imply:
% 260.53/66.29 | (21) pred(n6) = all_4_68
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (2), (16) imply:
% 260.53/66.29 | (22) pred(n6) = all_4_71
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (3), (14) imply:
% 260.53/66.29 | (23) succ(n6) = all_4_70
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (7), (16) imply:
% 260.53/66.29 | (24) succ(n6) = all_4_67
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (6) with n7, all_4_67, n6, simplifying with (11),
% 260.53/66.29 | (24) gives:
% 260.53/66.29 | (25) all_4_67 = n7
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (6) with all_4_70, all_4_67, n6, simplifying with
% 260.53/66.29 | (23), (24) gives:
% 260.53/66.29 | (26) all_4_67 = all_4_70
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (17) with n5, all_4_68, n6, simplifying with (8),
% 260.53/66.29 | (21) gives:
% 260.53/66.29 | (27) all_4_68 = n5
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (17) with all_4_71, all_4_68, n6, simplifying with
% 260.53/66.29 | (21), (22) gives:
% 260.53/66.29 | (28) all_4_68 = all_4_71
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (25), (26) imply:
% 260.53/66.29 | (29) all_4_70 = n7
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (27), (28) imply:
% 260.53/66.29 | (30) all_4_71 = n5
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (10), (25), (27) imply:
% 260.53/66.29 | (31) sum(n5, n7) = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (15), (27), (29) imply:
% 260.53/66.29 | (32) sum(n5, n7) = all_4_64
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (9), (25), (30) imply:
% 260.53/66.29 | (33) sum(n5, n7) = all_4_65
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (1), (29), (30) imply:
% 260.53/66.29 | (34) sum(n5, n7) = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with n1, all_4_65, n7, n5, simplifying with
% 260.53/66.29 | (4), (33) gives:
% 260.53/66.29 | (35) all_4_65 = n1
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with all_4_66, all_4_65, n7, n5, simplifying
% 260.53/66.29 | with (31), (33) gives:
% 260.53/66.29 | (36) all_4_65 = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with all_4_66, all_4_64, n7, n5, simplifying
% 260.53/66.29 | with (31), (32) gives:
% 260.53/66.29 | (37) all_4_64 = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with all_4_69, all_4_64, n7, n5, simplifying
% 260.53/66.29 | with (32), (34) gives:
% 260.53/66.29 | (38) all_4_64 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (37), (38) imply:
% 260.53/66.29 | (39) all_4_66 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (39) implies:
% 260.53/66.29 | (40) all_4_66 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (35), (36) imply:
% 260.53/66.29 | (41) all_4_66 = n1
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (41) implies:
% 260.53/66.29 | (42) all_4_66 = n1
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (40), (42) imply:
% 260.53/66.29 | (43) all_4_69 = n1
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (38), (43) imply:
% 260.53/66.29 | (44) all_4_64 = n1
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (5), (35), (44) imply:
% 260.53/66.29 | (45) sum(n1, n1) = all_4_96
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (13), (42), (43) imply:
% 260.53/66.29 | (46) sum(n1, n1) = all_4_97
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with n2, all_4_97, n1, n1, simplifying with
% 260.53/66.29 | (18), (46) gives:
% 260.53/66.29 | (47) all_4_97 = n2
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with n2, all_4_96, n1, n1, simplifying with
% 260.53/66.29 | (18), (45) gives:
% 260.53/66.29 | (48) all_4_96 = n2
% 260.53/66.29 |
% 260.53/66.29 | REF_CLOSE: (3), (16), (20), (47), (48) are inconsistent by sub-proof #104.
% 260.53/66.29 |
% 260.53/66.29 End of proof
% 260.53/66.29
% 260.53/66.29 Sub-proof #5 shows that the following formulas are inconsistent:
% 260.53/66.29 ----------------------------------------------------------------
% 260.53/66.29 (1) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.29 (2) pred(n8) = n7
% 260.53/66.29 (3) pred(all_4_99) = all_4_71
% 260.53/66.29 (4) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.29 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.53/66.29 ~ (succ(v2) = v0))
% 260.53/66.29 (6) succ(all_4_99) = all_4_67
% 260.53/66.29 (7) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.29 (8) sum(n5, n5) = n10
% 260.53/66.29 (9) all_4_99 = n8
% 260.53/66.29 (10) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.29 (11) succ(n8) = n9
% 260.53/66.29 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.29 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.29 (13) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.29 (14) sum(n7, n9) = n5
% 260.53/66.29 (15) succ(all_4_98) = all_4_70
% 260.53/66.29 (16) all_4_98 = n8
% 260.53/66.29 (17) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.29 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.29 | ~ (pred(v2) = v0))
% 260.53/66.29 (19) pred(all_4_98) = all_4_68
% 260.53/66.29 (20) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.29
% 260.53/66.29 Begin of proof
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (16), (19) imply:
% 260.53/66.29 | (21) pred(n8) = all_4_68
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (3), (9) imply:
% 260.53/66.29 | (22) pred(n8) = all_4_71
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (15), (16) imply:
% 260.53/66.29 | (23) succ(n8) = all_4_70
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (6), (9) imply:
% 260.53/66.29 | (24) succ(n8) = all_4_67
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (5) with n9, all_4_67, n8, simplifying with (11),
% 260.53/66.29 | (24) gives:
% 260.53/66.29 | (25) all_4_67 = n9
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (5) with all_4_70, all_4_67, n8, simplifying with
% 260.53/66.29 | (23), (24) gives:
% 260.53/66.29 | (26) all_4_67 = all_4_70
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (18) with n7, all_4_68, n8, simplifying with (2),
% 260.53/66.29 | (21) gives:
% 260.53/66.29 | (27) all_4_68 = n7
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (18) with all_4_71, all_4_68, n8, simplifying with
% 260.53/66.29 | (21), (22) gives:
% 260.53/66.29 | (28) all_4_68 = all_4_71
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (25), (26) imply:
% 260.53/66.29 | (29) all_4_70 = n9
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (27), (28) imply:
% 260.53/66.29 | (30) all_4_71 = n7
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (10), (25), (27) imply:
% 260.53/66.29 | (31) sum(n7, n9) = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (17), (27), (29) imply:
% 260.53/66.29 | (32) sum(n7, n9) = all_4_64
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (7), (25), (30) imply:
% 260.53/66.29 | (33) sum(n7, n9) = all_4_65
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (1), (29), (30) imply:
% 260.53/66.29 | (34) sum(n7, n9) = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with n5, all_4_65, n9, n7, simplifying with
% 260.53/66.29 | (14), (33) gives:
% 260.53/66.29 | (35) all_4_65 = n5
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with all_4_66, all_4_65, n9, n7, simplifying
% 260.53/66.29 | with (31), (33) gives:
% 260.53/66.29 | (36) all_4_65 = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with all_4_66, all_4_64, n9, n7, simplifying
% 260.53/66.29 | with (31), (32) gives:
% 260.53/66.29 | (37) all_4_64 = all_4_66
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with all_4_69, all_4_64, n9, n7, simplifying
% 260.53/66.29 | with (32), (34) gives:
% 260.53/66.29 | (38) all_4_64 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (37), (38) imply:
% 260.53/66.29 | (39) all_4_66 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (39) implies:
% 260.53/66.29 | (40) all_4_66 = all_4_69
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (35), (36) imply:
% 260.53/66.29 | (41) all_4_66 = n5
% 260.53/66.29 |
% 260.53/66.29 | SIMP: (41) implies:
% 260.53/66.29 | (42) all_4_66 = n5
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (40), (42) imply:
% 260.53/66.29 | (43) all_4_69 = n5
% 260.53/66.29 |
% 260.53/66.29 | COMBINE_EQS: (38), (43) imply:
% 260.53/66.29 | (44) all_4_64 = n5
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (4), (35), (44) imply:
% 260.53/66.29 | (45) sum(n5, n5) = all_4_96
% 260.53/66.29 |
% 260.53/66.29 | REDUCE: (13), (42), (43) imply:
% 260.53/66.29 | (46) sum(n5, n5) = all_4_97
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with n10, all_4_97, n5, n5, simplifying with
% 260.53/66.29 | (8), (46) gives:
% 260.53/66.29 | (47) all_4_97 = n10
% 260.53/66.29 |
% 260.53/66.29 | GROUND_INST: instantiating (12) with n10, all_4_96, n5, n5, simplifying with
% 260.53/66.29 | (8), (45) gives:
% 260.53/66.29 | (48) all_4_96 = n10
% 260.53/66.29 |
% 260.53/66.29 | REF_CLOSE: (9), (16), (20), (47), (48) are inconsistent by sub-proof #115.
% 260.53/66.29 |
% 260.53/66.29 End of proof
% 260.53/66.29
% 260.53/66.29 Sub-proof #6 shows that the following formulas are inconsistent:
% 260.53/66.29 ----------------------------------------------------------------
% 260.53/66.29 (1) sum(n9, n0) = n9
% 260.53/66.29 (2) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.29 (3) pred(all_4_99) = all_4_71
% 260.53/66.29 (4) all_4_99 = n10
% 260.53/66.29 (5) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.29 (6) succ(n10) = n0
% 260.53/66.30 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.53/66.30 ~ (succ(v2) = v0))
% 260.53/66.30 (8) succ(all_4_99) = all_4_67
% 260.53/66.30 (9) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.30 (10) all_4_98 = n10
% 260.53/66.30 (11) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.30 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.30 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.30 (13) sum(n9, n9) = n7
% 260.53/66.30 (14) pred(n10) = n9
% 260.53/66.30 (15) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.30 (16) succ(all_4_98) = all_4_70
% 260.53/66.30 (17) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.30 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.30 | ~ (pred(v2) = v0))
% 260.53/66.30 (19) pred(all_4_98) = all_4_68
% 260.53/66.30 (20) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.30
% 260.53/66.30 Begin of proof
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (10), (19) imply:
% 260.53/66.30 | (21) pred(n10) = all_4_68
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (3), (4) imply:
% 260.53/66.30 | (22) pred(n10) = all_4_71
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (10), (16) imply:
% 260.53/66.30 | (23) succ(n10) = all_4_70
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (4), (8) imply:
% 260.53/66.30 | (24) succ(n10) = all_4_67
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (7) with n0, all_4_67, n10, simplifying with (6),
% 260.53/66.30 | (24) gives:
% 260.53/66.30 | (25) all_4_67 = n0
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (7) with all_4_70, all_4_67, n10, simplifying with
% 260.53/66.30 | (23), (24) gives:
% 260.53/66.30 | (26) all_4_67 = all_4_70
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (18) with n9, all_4_68, n10, simplifying with (14),
% 260.53/66.30 | (21) gives:
% 260.53/66.30 | (27) all_4_68 = n9
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (18) with all_4_71, all_4_68, n10, simplifying with
% 260.53/66.30 | (21), (22) gives:
% 260.53/66.30 | (28) all_4_68 = all_4_71
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (25), (26) imply:
% 260.53/66.30 | (29) all_4_70 = n0
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (27), (28) imply:
% 260.53/66.30 | (30) all_4_71 = n9
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (11), (25), (27) imply:
% 260.53/66.30 | (31) sum(n9, n0) = all_4_66
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (17), (27), (29) imply:
% 260.53/66.30 | (32) sum(n9, n0) = all_4_64
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (9), (25), (30) imply:
% 260.53/66.30 | (33) sum(n9, n0) = all_4_65
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (2), (29), (30) imply:
% 260.53/66.30 | (34) sum(n9, n0) = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (12) with n9, all_4_65, n0, n9, simplifying with
% 260.53/66.30 | (1), (33) gives:
% 260.53/66.30 | (35) all_4_65 = n9
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (12) with all_4_66, all_4_65, n0, n9, simplifying
% 260.53/66.30 | with (31), (33) gives:
% 260.53/66.30 | (36) all_4_65 = all_4_66
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (12) with all_4_66, all_4_64, n0, n9, simplifying
% 260.53/66.30 | with (31), (32) gives:
% 260.53/66.30 | (37) all_4_64 = all_4_66
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (12) with all_4_69, all_4_64, n0, n9, simplifying
% 260.53/66.30 | with (32), (34) gives:
% 260.53/66.30 | (38) all_4_64 = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (37), (38) imply:
% 260.53/66.30 | (39) all_4_66 = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | SIMP: (39) implies:
% 260.53/66.30 | (40) all_4_66 = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (35), (36) imply:
% 260.53/66.30 | (41) all_4_66 = n9
% 260.53/66.30 |
% 260.53/66.30 | SIMP: (41) implies:
% 260.53/66.30 | (42) all_4_66 = n9
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (40), (42) imply:
% 260.53/66.30 | (43) all_4_69 = n9
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (38), (43) imply:
% 260.53/66.30 | (44) all_4_64 = n9
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (5), (35), (44) imply:
% 260.53/66.30 | (45) sum(n9, n9) = all_4_96
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (15), (42), (43) imply:
% 260.53/66.30 | (46) sum(n9, n9) = all_4_97
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (12) with n7, all_4_97, n9, n9, simplifying with
% 260.53/66.30 | (13), (46) gives:
% 260.53/66.30 | (47) all_4_97 = n7
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (12) with n7, all_4_96, n9, n9, simplifying with
% 260.53/66.30 | (13), (45) gives:
% 260.53/66.30 | (48) all_4_96 = n7
% 260.53/66.30 |
% 260.53/66.30 | REF_CLOSE: (4), (10), (20), (47), (48) are inconsistent by sub-proof #128.
% 260.53/66.30 |
% 260.53/66.30 End of proof
% 260.53/66.30
% 260.53/66.30 Sub-proof #7 shows that the following formulas are inconsistent:
% 260.53/66.30 ----------------------------------------------------------------
% 260.53/66.30 (1) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.30 (2) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.30 (3) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.30 (4) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.30 (5) pred(all_4_99) = all_4_71
% 260.53/66.30 (6) all_4_98 = n6
% 260.53/66.30 (7) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.30 (8) sum(n5, n7) = n1
% 260.53/66.30 (9) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.30 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.30 | ~ (succ(v2) = v0))
% 260.53/66.30 (11) pred(all_4_97) = all_4_63
% 260.53/66.30 (12) succ(all_4_99) = all_4_67
% 260.53/66.30 (13) pred(n6) = n5
% 260.53/66.30 (14) pred(all_4_96) = all_4_60
% 260.53/66.30 (15) succ(all_4_96) = all_4_62
% 260.53/66.30 (16) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.30 (17) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.30 (18) succ(n2) = n3
% 260.53/66.30 (19) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.30 (20) succ(n6) = n7
% 260.53/66.30 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.30 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.30 (22) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.30 (23) pred(n2) = n1
% 260.53/66.30 (24) succ(all_4_98) = all_4_70
% 260.53/66.30 (25) sum(n4, n4) = n8
% 260.53/66.30 (26) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.30 (27) succ(all_4_97) = all_4_59
% 260.53/66.30 (28) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.30 (29) ~ (all_4_94 = all_4_95)
% 260.53/66.30 (30) all_4_99 = n6
% 260.53/66.30 (31) sum(n1, n3) = n4
% 260.53/66.30 (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.30 | ~ (pred(v2) = v0))
% 260.53/66.30 (33) sum(n1, n1) = n2
% 260.53/66.30 (34) pred(all_4_98) = all_4_68
% 260.53/66.30
% 260.53/66.30 Begin of proof
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (6), (34) imply:
% 260.53/66.30 | (35) pred(n6) = all_4_68
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (5), (30) imply:
% 260.53/66.30 | (36) pred(n6) = all_4_71
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (6), (24) imply:
% 260.53/66.30 | (37) succ(n6) = all_4_70
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (12), (30) imply:
% 260.53/66.30 | (38) succ(n6) = all_4_67
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (10) with n7, all_4_67, n6, simplifying with (20),
% 260.53/66.30 | (38) gives:
% 260.53/66.30 | (39) all_4_67 = n7
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (10) with all_4_70, all_4_67, n6, simplifying with
% 260.53/66.30 | (37), (38) gives:
% 260.53/66.30 | (40) all_4_67 = all_4_70
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (32) with n5, all_4_68, n6, simplifying with (13),
% 260.53/66.30 | (35) gives:
% 260.53/66.30 | (41) all_4_68 = n5
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (32) with all_4_71, all_4_68, n6, simplifying with
% 260.53/66.30 | (35), (36) gives:
% 260.53/66.30 | (42) all_4_68 = all_4_71
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (39), (40) imply:
% 260.53/66.30 | (43) all_4_70 = n7
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (41), (42) imply:
% 260.53/66.30 | (44) all_4_71 = n5
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (19), (39), (41) imply:
% 260.53/66.30 | (45) sum(n5, n7) = all_4_66
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (26), (41), (43) imply:
% 260.53/66.30 | (46) sum(n5, n7) = all_4_64
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (16), (39), (44) imply:
% 260.53/66.30 | (47) sum(n5, n7) = all_4_65
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (2), (43), (44) imply:
% 260.53/66.30 | (48) sum(n5, n7) = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (21) with n1, all_4_65, n7, n5, simplifying with
% 260.53/66.30 | (8), (47) gives:
% 260.53/66.30 | (49) all_4_65 = n1
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (21) with all_4_66, all_4_65, n7, n5, simplifying
% 260.53/66.30 | with (45), (47) gives:
% 260.53/66.30 | (50) all_4_65 = all_4_66
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (21) with all_4_66, all_4_64, n7, n5, simplifying
% 260.53/66.30 | with (45), (46) gives:
% 260.53/66.30 | (51) all_4_64 = all_4_66
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (21) with all_4_69, all_4_64, n7, n5, simplifying
% 260.53/66.30 | with (46), (48) gives:
% 260.53/66.30 | (52) all_4_64 = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (51), (52) imply:
% 260.53/66.30 | (53) all_4_66 = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | SIMP: (53) implies:
% 260.53/66.30 | (54) all_4_66 = all_4_69
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (49), (50) imply:
% 260.53/66.30 | (55) all_4_66 = n1
% 260.53/66.30 |
% 260.53/66.30 | SIMP: (55) implies:
% 260.53/66.30 | (56) all_4_66 = n1
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (54), (56) imply:
% 260.53/66.30 | (57) all_4_69 = n1
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (52), (57) imply:
% 260.53/66.30 | (58) all_4_64 = n1
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (9), (49), (58) imply:
% 260.53/66.30 | (59) sum(n1, n1) = all_4_96
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (22), (56), (57) imply:
% 260.53/66.30 | (60) sum(n1, n1) = all_4_97
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (21) with n2, all_4_96, n1, n1, simplifying with
% 260.53/66.30 | (33), (59) gives:
% 260.53/66.30 | (61) all_4_96 = n2
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (21) with all_4_97, all_4_96, n1, n1, simplifying
% 260.53/66.30 | with (59), (60) gives:
% 260.53/66.30 | (62) all_4_96 = all_4_97
% 260.53/66.30 |
% 260.53/66.30 | COMBINE_EQS: (61), (62) imply:
% 260.53/66.30 | (63) all_4_97 = n2
% 260.53/66.30 |
% 260.53/66.30 | SIMP: (63) implies:
% 260.53/66.30 | (64) all_4_97 = n2
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (14), (61) imply:
% 260.53/66.30 | (65) pred(n2) = all_4_60
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (11), (64) imply:
% 260.53/66.30 | (66) pred(n2) = all_4_63
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (15), (61) imply:
% 260.53/66.30 | (67) succ(n2) = all_4_62
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (27), (64) imply:
% 260.53/66.30 | (68) succ(n2) = all_4_59
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (10) with n3, all_4_59, n2, simplifying with (18),
% 260.53/66.30 | (68) gives:
% 260.53/66.30 | (69) all_4_59 = n3
% 260.53/66.30 |
% 260.53/66.30 | REF_CLOSE: (1), (3), (4), (7), (10), (17), (21), (23), (25), (28), (29), (31),
% 260.53/66.30 | (32), (65), (66), (67), (68), (69) are inconsistent by sub-proof
% 260.53/66.30 | #105.
% 260.53/66.30 |
% 260.53/66.30 End of proof
% 260.53/66.30
% 260.53/66.30 Sub-proof #8 shows that the following formulas are inconsistent:
% 260.53/66.30 ----------------------------------------------------------------
% 260.53/66.30 (1) succ(all_4_95) = all_4_51
% 260.53/66.30 (2) succ(n1) = n2
% 260.53/66.30 (3) pred(all_4_95) = all_4_55
% 260.53/66.30 (4) sum(all_4_76, all_4_78) = all_4_72
% 260.53/66.30 (5) sum(n9, n0) = n9
% 260.53/66.30 (6) sum(n0, n1) = n1
% 260.53/66.30 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.30 (8) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.30 (9) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.30 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.30 (11) succ(n0) = all_4_75
% 260.53/66.30 (12) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.30 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.30 (14) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.53/66.30 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.30 (15) succ(all_4_94) = all_4_54
% 260.53/66.30 (16) sum(n10, n1) = n0
% 260.53/66.30 (17) pred(n8) = n7
% 260.53/66.30 (18) pred(all_4_99) = all_4_71
% 260.53/66.30 (19) succ(n0) = n1
% 260.53/66.30 (20) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.30 (21) sum(n0, n2) = n2
% 260.53/66.30 (22) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.30 (23) succ(n10) = n0
% 260.53/66.30 (24) succ(all_4_100) = all_4_78
% 260.53/66.30 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.30 | ~ (succ(v2) = v0))
% 260.53/66.30 (26) pred(all_4_97) = all_4_63
% 260.53/66.30 (27) succ(all_4_99) = all_4_67
% 260.53/66.30 (28) pred(all_4_96) = all_4_60
% 260.53/66.30 (29) succ(all_4_96) = all_4_62
% 260.53/66.30 (30) sum(n0, n0) = n0
% 260.53/66.30 (31) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.30 (32) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.30 (33) pred(n0) = all_4_79
% 260.53/66.30 (34) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.30 (35) sum(n5, n5) = n10
% 260.53/66.30 (36) succ(n2) = n3
% 260.53/66.30 (37) sum(all_4_79, all_4_78) = all_4_77
% 260.53/66.30 (38) sum(all_4_76, all_4_75) = all_4_74
% 260.53/66.30 (39) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.30 (40) succ(n8) = n9
% 260.53/66.30 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.30 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.30 (42) sum(n9, n9) = n7
% 260.53/66.30 (43) pred(n10) = n9
% 260.53/66.30 (44) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.30 (45) sum(n7, n9) = n5
% 260.53/66.30 (46) sum(all_4_79, all_4_75) = all_4_73
% 260.53/66.30 (47) sum(n10, n2) = n1
% 260.53/66.30 (48) pred(n2) = n1
% 260.53/66.30 (49) succ(all_4_98) = all_4_70
% 260.53/66.30 (50) sum(n4, n4) = n8
% 260.53/66.30 (51) pred(n1) = n0
% 260.53/66.30 (52) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.30 (53) succ(all_4_97) = all_4_59
% 260.53/66.30 (54) all_4_100 = n1 | all_4_100 = n0
% 260.53/66.30 (55) sum(all_4_77, all_4_74) = all_4_99
% 260.53/66.30 (56) sum(all_4_73, all_4_72) = all_4_98
% 260.53/66.30 (57) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.30 (58) pred(all_4_100) = all_4_76
% 260.53/66.30 (59) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.30 (60) sum(n1, n3) = n4
% 260.53/66.30 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.30 | ~ (pred(v2) = v0))
% 260.53/66.30 (62) sum(n1, n1) = n2
% 260.53/66.30 (63) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.30 (64) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.30 (65) pred(all_4_98) = all_4_68
% 260.53/66.30 (66) pred(n0) = n10
% 260.53/66.30 (67) pred(all_4_94) = all_4_52
% 260.53/66.30
% 260.53/66.30 Begin of proof
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (25) with n1, all_4_75, n0, simplifying with (11),
% 260.53/66.30 | (19) gives:
% 260.53/66.30 | (68) all_4_75 = n1
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (61) with n10, all_4_79, n0, simplifying with (33),
% 260.53/66.30 | (66) gives:
% 260.53/66.30 | (69) all_4_79 = n10
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (38), (68) imply:
% 260.53/66.30 | (70) sum(all_4_76, n1) = all_4_74
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (46), (68), (69) imply:
% 260.53/66.30 | (71) sum(n10, n1) = all_4_73
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (37), (69) imply:
% 260.53/66.30 | (72) sum(n10, all_4_78) = all_4_77
% 260.53/66.30 |
% 260.53/66.30 | GROUND_INST: instantiating (41) with n0, all_4_73, n1, n10, simplifying with
% 260.53/66.30 | (16), (71) gives:
% 260.53/66.30 | (73) all_4_73 = n0
% 260.53/66.30 |
% 260.53/66.30 | REDUCE: (56), (73) imply:
% 260.53/66.30 | (74) sum(n0, all_4_72) = all_4_98
% 260.53/66.30 |
% 260.53/66.30 | BETA: splitting (54) gives:
% 260.53/66.30 |
% 260.53/66.30 | Case 1:
% 260.53/66.30 | |
% 260.53/66.30 | | (75) all_4_100 = n1
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (58), (75) imply:
% 260.53/66.30 | | (76) pred(n1) = all_4_76
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (24), (75) imply:
% 260.53/66.30 | | (77) succ(n1) = all_4_78
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (25) with n2, all_4_78, n1, simplifying with (2),
% 260.53/66.30 | | (77) gives:
% 260.53/66.30 | | (78) all_4_78 = n2
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (61) with n0, all_4_76, n1, simplifying with
% 260.53/66.30 | | (51), (76) gives:
% 260.53/66.30 | | (79) all_4_76 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (4), (78), (79) imply:
% 260.53/66.30 | | (80) sum(n0, n2) = all_4_72
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (70), (79) imply:
% 260.53/66.30 | | (81) sum(n0, n1) = all_4_74
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (72), (78) imply:
% 260.53/66.30 | | (82) sum(n10, n2) = all_4_77
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n1, all_4_74, n1, n0, simplifying with
% 260.53/66.30 | | (6), (81) gives:
% 260.53/66.30 | | (83) all_4_74 = n1
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n2, all_4_72, n2, n0, simplifying with
% 260.53/66.30 | | (21), (80) gives:
% 260.53/66.30 | | (84) all_4_72 = n2
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n1, all_4_77, n2, n10, simplifying with
% 260.53/66.30 | | (47), (82) gives:
% 260.53/66.30 | | (85) all_4_77 = n1
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (55), (83), (85) imply:
% 260.53/66.30 | | (86) sum(n1, n1) = all_4_99
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (74), (84) imply:
% 260.53/66.30 | | (87) sum(n0, n2) = all_4_98
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n2, all_4_98, n2, n0, simplifying with
% 260.53/66.30 | | (21), (87) gives:
% 260.53/66.30 | | (88) all_4_98 = n2
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n2, all_4_99, n1, n1, simplifying with
% 260.53/66.30 | | (62), (86) gives:
% 260.53/66.30 | | (89) all_4_99 = n2
% 260.53/66.30 | |
% 260.53/66.30 | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10), (12), (13), (14), (15), (17),
% 260.53/66.30 | | (18), (20), (22), (23), (25), (26), (27), (28), (29), (31), (32),
% 260.53/66.30 | | (34), (35), (36), (39), (40), (41), (42), (43), (44), (45), (48),
% 260.53/66.30 | | (49), (50), (52), (53), (57), (59), (60), (61), (63), (64), (65),
% 260.53/66.30 | | (67), (88), (89) are inconsistent by sub-proof #52.
% 260.53/66.30 | |
% 260.53/66.30 | Case 2:
% 260.53/66.30 | |
% 260.53/66.30 | | (90) all_4_100 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (58), (90) imply:
% 260.53/66.30 | | (91) pred(n0) = all_4_76
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (24), (90) imply:
% 260.53/66.30 | | (92) succ(n0) = all_4_78
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (25) with n1, all_4_78, n0, simplifying with
% 260.53/66.30 | | (19), (92) gives:
% 260.53/66.30 | | (93) all_4_78 = n1
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (61) with n10, all_4_76, n0, simplifying with
% 260.53/66.30 | | (66), (91) gives:
% 260.53/66.30 | | (94) all_4_76 = n10
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (4), (93), (94) imply:
% 260.53/66.30 | | (95) sum(n10, n1) = all_4_72
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (70), (94) imply:
% 260.53/66.30 | | (96) sum(n10, n1) = all_4_74
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (72), (93) imply:
% 260.53/66.30 | | (97) sum(n10, n1) = all_4_77
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n0, all_4_74, n1, n10, simplifying with
% 260.53/66.30 | | (16), (96) gives:
% 260.53/66.30 | | (98) all_4_74 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with all_4_74, all_4_72, n1, n10,
% 260.53/66.30 | | simplifying with (95), (96) gives:
% 260.53/66.30 | | (99) all_4_72 = all_4_74
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with all_4_77, all_4_72, n1, n10,
% 260.53/66.30 | | simplifying with (95), (97) gives:
% 260.53/66.30 | | (100) all_4_72 = all_4_77
% 260.53/66.30 | |
% 260.53/66.30 | | COMBINE_EQS: (99), (100) imply:
% 260.53/66.30 | | (101) all_4_74 = all_4_77
% 260.53/66.30 | |
% 260.53/66.30 | | SIMP: (101) implies:
% 260.53/66.30 | | (102) all_4_74 = all_4_77
% 260.53/66.30 | |
% 260.53/66.30 | | COMBINE_EQS: (98), (102) imply:
% 260.53/66.30 | | (103) all_4_77 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | COMBINE_EQS: (100), (103) imply:
% 260.53/66.30 | | (104) all_4_72 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (55), (98), (103) imply:
% 260.53/66.30 | | (105) sum(n0, n0) = all_4_99
% 260.53/66.30 | |
% 260.53/66.30 | | REDUCE: (74), (104) imply:
% 260.53/66.30 | | (106) sum(n0, n0) = all_4_98
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with n0, all_4_98, n0, n0, simplifying with
% 260.53/66.30 | | (30), (106) gives:
% 260.53/66.30 | | (107) all_4_98 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | GROUND_INST: instantiating (41) with all_4_99, all_4_98, n0, n0, simplifying
% 260.53/66.30 | | with (105), (106) gives:
% 260.53/66.30 | | (108) all_4_98 = all_4_99
% 260.53/66.30 | |
% 260.53/66.30 | | COMBINE_EQS: (107), (108) imply:
% 260.53/66.30 | | (109) all_4_99 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | SIMP: (109) implies:
% 260.53/66.30 | | (110) all_4_99 = n0
% 260.53/66.30 | |
% 260.53/66.30 | | REF_CLOSE: (1), (3), (7), (8), (9), (10), (12), (13), (14), (15), (16),
% 260.53/66.30 | | (18), (19), (20), (22), (25), (26), (27), (28), (29), (31), (32),
% 260.53/66.30 | | (34), (39), (41), (44), (49), (52), (53), (57), (59), (61), (63),
% 260.53/66.30 | | (64), (65), (66), (67), (105), (107), (110) are inconsistent by
% 260.53/66.30 | | sub-proof #38.
% 260.53/66.30 | |
% 260.53/66.30 | End of split
% 260.53/66.30 |
% 260.53/66.30 End of proof
% 260.53/66.30
% 260.53/66.30 Sub-proof #9 shows that the following formulas are inconsistent:
% 260.53/66.30 ----------------------------------------------------------------
% 260.53/66.30 (1) succ(all_4_95) = all_4_51
% 260.53/66.30 (2) sum(n4, n6) = n10
% 260.53/66.30 (3) pred(all_4_95) = all_4_55
% 260.53/66.30 (4) succ(n9) = n10
% 260.53/66.30 (5) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.30 (6) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.30 (7) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.30 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.30 (9) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.30 (10) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.30 (11) succ(all_4_94) = all_4_54
% 260.53/66.30 (12) sum(n8, n8) = n5
% 260.53/66.30 (13) pred(all_4_99) = all_4_71
% 260.53/66.30 (14) sum(n8, n10) = n7
% 260.53/66.30 (15) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.30 (16) sum(n3, n5) = n8
% 260.53/66.30 (17) sum(n10, n10) = n9
% 260.53/66.30 (18) pred(n5) = n4
% 260.53/66.30 (19) ~ (all_4_92 = all_4_93)
% 260.53/66.30 (20) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.30 (21) pred(n4) = n3
% 260.53/66.31 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.31 | ~ (succ(v2) = v0))
% 260.53/66.31 (23) pred(all_4_97) = all_4_63
% 260.53/66.31 (24) succ(all_4_99) = all_4_67
% 260.53/66.31 (25) pred(n9) = n8
% 260.53/66.31 (26) pred(all_4_96) = all_4_60
% 260.53/66.31 (27) succ(all_4_96) = all_4_62
% 260.53/66.31 (28) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.31 (29) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.31 (30) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.31 (31) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.31 (32) all_4_99 = n4
% 260.53/66.31 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.31 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.31 (34) succ(n5) = n6
% 260.53/66.31 (35) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.31 (36) succ(n4) = n5
% 260.53/66.31 (37) succ(all_4_98) = all_4_70
% 260.53/66.31 (38) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.31 (39) succ(all_4_97) = all_4_59
% 260.53/66.31 (40) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.31 (41) sum(n7, n7) = n3
% 260.53/66.31 (42) all_4_98 = n4
% 260.53/66.31 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.31 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.31 | ~ (pred(v2) = v0))
% 260.53/66.31 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.31 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.31 (47) pred(all_4_98) = all_4_68
% 260.53/66.31 (48) pred(all_4_94) = all_4_52
% 260.53/66.31
% 260.53/66.31 Begin of proof
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (42), (47) imply:
% 260.53/66.31 | (49) pred(n4) = all_4_68
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (13), (32) imply:
% 260.53/66.31 | (50) pred(n4) = all_4_71
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (37), (42) imply:
% 260.53/66.31 | (51) succ(n4) = all_4_70
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (24), (32) imply:
% 260.53/66.31 | (52) succ(n4) = all_4_67
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (22) with n5, all_4_67, n4, simplifying with (36),
% 260.53/66.31 | (52) gives:
% 260.53/66.31 | (53) all_4_67 = n5
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (22) with all_4_70, all_4_67, n4, simplifying with
% 260.53/66.31 | (51), (52) gives:
% 260.53/66.31 | (54) all_4_67 = all_4_70
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (44) with n3, all_4_68, n4, simplifying with (21),
% 260.53/66.31 | (49) gives:
% 260.53/66.31 | (55) all_4_68 = n3
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n4, simplifying with
% 260.53/66.31 | (49), (50) gives:
% 260.53/66.31 | (56) all_4_68 = all_4_71
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (53), (54) imply:
% 260.53/66.31 | (57) all_4_70 = n5
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (55), (56) imply:
% 260.53/66.31 | (58) all_4_71 = n3
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (31), (53), (55) imply:
% 260.53/66.31 | (59) sum(n3, n5) = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (38), (55), (57) imply:
% 260.53/66.31 | (60) sum(n3, n5) = all_4_64
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (29), (53), (58) imply:
% 260.53/66.31 | (61) sum(n3, n5) = all_4_65
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (7), (57), (58) imply:
% 260.53/66.31 | (62) sum(n3, n5) = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with n8, all_4_65, n5, n3, simplifying with
% 260.53/66.31 | (16), (61) gives:
% 260.53/66.31 | (63) all_4_65 = n8
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_66, all_4_65, n5, n3, simplifying
% 260.53/66.31 | with (59), (61) gives:
% 260.53/66.31 | (64) all_4_65 = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_66, all_4_64, n5, n3, simplifying
% 260.53/66.31 | with (59), (60) gives:
% 260.53/66.31 | (65) all_4_64 = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_69, all_4_64, n5, n3, simplifying
% 260.53/66.31 | with (60), (62) gives:
% 260.53/66.31 | (66) all_4_64 = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (65), (66) imply:
% 260.53/66.31 | (67) all_4_66 = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (67) implies:
% 260.53/66.31 | (68) all_4_66 = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (63), (64) imply:
% 260.53/66.31 | (69) all_4_66 = n8
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (69) implies:
% 260.53/66.31 | (70) all_4_66 = n8
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (68), (70) imply:
% 260.53/66.31 | (71) all_4_69 = n8
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (66), (71) imply:
% 260.53/66.31 | (72) all_4_64 = n8
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (20), (63), (72) imply:
% 260.53/66.31 | (73) sum(n8, n8) = all_4_96
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (35), (70), (71) imply:
% 260.53/66.31 | (74) sum(n8, n8) = all_4_97
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with n5, all_4_96, n8, n8, simplifying with
% 260.53/66.31 | (12), (73) gives:
% 260.53/66.31 | (75) all_4_96 = n5
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_97, all_4_96, n8, n8, simplifying
% 260.53/66.31 | with (73), (74) gives:
% 260.53/66.31 | (76) all_4_96 = all_4_97
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (75), (76) imply:
% 260.53/66.31 | (77) all_4_97 = n5
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (77) implies:
% 260.53/66.31 | (78) all_4_97 = n5
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (26), (75) imply:
% 260.53/66.31 | (79) pred(n5) = all_4_60
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (23), (78) imply:
% 260.53/66.31 | (80) pred(n5) = all_4_63
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (27), (75) imply:
% 260.53/66.31 | (81) succ(n5) = all_4_62
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (39), (78) imply:
% 260.53/66.31 | (82) succ(n5) = all_4_59
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (22) with n6, all_4_59, n5, simplifying with (34),
% 260.53/66.31 | (82) gives:
% 260.53/66.31 | (83) all_4_59 = n6
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (22) with all_4_62, all_4_59, n5, simplifying with
% 260.53/66.31 | (81), (82) gives:
% 260.53/66.31 | (84) all_4_59 = all_4_62
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (44) with n4, all_4_60, n5, simplifying with (18),
% 260.53/66.31 | (79) gives:
% 260.53/66.31 | (85) all_4_60 = n4
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n5, simplifying with
% 260.53/66.31 | (79), (80) gives:
% 260.53/66.31 | (86) all_4_60 = all_4_63
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (83), (84) imply:
% 260.53/66.31 | (87) all_4_62 = n6
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.31 | (88) all_4_63 = n4
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (30), (83), (85) imply:
% 260.53/66.31 | (89) sum(n4, n6) = all_4_58
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (6), (85), (87) imply:
% 260.53/66.31 | (90) sum(n4, n6) = all_4_56
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (9), (83), (88) imply:
% 260.53/66.31 | (91) sum(n4, n6) = all_4_57
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (10), (87), (88) imply:
% 260.53/66.31 | (92) sum(n4, n6) = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with n10, all_4_57, n6, n4, simplifying with
% 260.53/66.31 | (2), (91) gives:
% 260.53/66.31 | (93) all_4_57 = n10
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_58, all_4_57, n6, n4, simplifying
% 260.53/66.31 | with (89), (91) gives:
% 260.53/66.31 | (94) all_4_57 = all_4_58
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_57, all_4_56, n6, n4, simplifying
% 260.53/66.31 | with (90), (91) gives:
% 260.53/66.31 | (95) all_4_56 = all_4_57
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_61, all_4_56, n6, n4, simplifying
% 260.53/66.31 | with (90), (92) gives:
% 260.53/66.31 | (96) all_4_56 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (95), (96) imply:
% 260.53/66.31 | (97) all_4_57 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (97) implies:
% 260.53/66.31 | (98) all_4_57 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (93), (94) imply:
% 260.53/66.31 | (99) all_4_58 = n10
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (94), (98) imply:
% 260.53/66.31 | (100) all_4_58 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.31 | (101) all_4_61 = n10
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (96), (101) imply:
% 260.53/66.31 | (102) all_4_56 = n10
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (15), (93), (102) imply:
% 260.53/66.31 | (103) sum(n10, n10) = all_4_94
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (40), (99), (101) imply:
% 260.53/66.31 | (104) sum(n10, n10) = all_4_95
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with n9, all_4_94, n10, n10, simplifying with
% 260.53/66.31 | (17), (103) gives:
% 260.53/66.31 | (105) all_4_94 = n9
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_95, all_4_94, n10, n10, simplifying
% 260.53/66.31 | with (103), (104) gives:
% 260.53/66.31 | (106) all_4_94 = all_4_95
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (105), (106) imply:
% 260.53/66.31 | (107) all_4_95 = n9
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (48), (105) imply:
% 260.53/66.31 | (108) pred(n9) = all_4_52
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (3), (107) imply:
% 260.53/66.31 | (109) pred(n9) = all_4_55
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (11), (105) imply:
% 260.53/66.31 | (110) succ(n9) = all_4_54
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (1), (107) imply:
% 260.53/66.31 | (111) succ(n9) = all_4_51
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (22) with n10, all_4_51, n9, simplifying with (4),
% 260.53/66.31 | (111) gives:
% 260.53/66.31 | (112) all_4_51 = n10
% 260.53/66.31 |
% 260.53/66.31 | REF_CLOSE: (5), (8), (14), (19), (22), (25), (28), (33), (41), (43), (44),
% 260.53/66.31 | (45), (46), (108), (109), (110), (111), (112) are inconsistent by
% 260.53/66.31 | sub-proof #112.
% 260.53/66.31 |
% 260.53/66.31 End of proof
% 260.53/66.31
% 260.53/66.31 Sub-proof #10 shows that the following formulas are inconsistent:
% 260.53/66.31 ----------------------------------------------------------------
% 260.53/66.31 (1) succ(all_4_95) = all_4_51
% 260.53/66.31 (2) pred(all_4_95) = all_4_55
% 260.53/66.31 (3) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.31 (4) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.31 (5) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.31 (6) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.31 (7) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.31 (8) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.31 (9) succ(all_4_94) = all_4_54
% 260.53/66.31 (10) pred(n8) = n7
% 260.53/66.31 (11) pred(all_4_99) = all_4_71
% 260.53/66.31 (12) all_4_98 = n6
% 260.53/66.31 (13) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.31 (14) ~ (all_4_92 = all_4_93)
% 260.53/66.31 (15) sum(n5, n7) = n1
% 260.53/66.31 (16) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.31 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.31 | ~ (succ(v2) = v0))
% 260.53/66.31 (18) pred(all_4_97) = all_4_63
% 260.53/66.31 (19) succ(all_4_99) = all_4_67
% 260.53/66.31 (20) pred(n6) = n5
% 260.53/66.31 (21) pred(all_4_96) = all_4_60
% 260.53/66.31 (22) succ(all_4_96) = all_4_62
% 260.53/66.31 (23) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.31 (24) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.31 (25) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.31 (26) sum(n5, n5) = n10
% 260.53/66.31 (27) succ(n2) = n3
% 260.53/66.31 (28) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.31 (29) succ(n6) = n7
% 260.53/66.31 (30) succ(n8) = n9
% 260.53/66.31 (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.31 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.31 (32) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.31 (33) sum(n7, n9) = n5
% 260.53/66.31 (34) pred(n2) = n1
% 260.53/66.31 (35) succ(all_4_98) = all_4_70
% 260.53/66.31 (36) sum(n4, n4) = n8
% 260.53/66.31 (37) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.31 (38) succ(all_4_97) = all_4_59
% 260.53/66.31 (39) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.31 (40) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.31 (41) all_4_99 = n6
% 260.53/66.31 (42) sum(n1, n3) = n4
% 260.53/66.31 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.31 | ~ (pred(v2) = v0))
% 260.53/66.31 (44) sum(n1, n1) = n2
% 260.53/66.31 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.31 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.31 (47) pred(all_4_98) = all_4_68
% 260.53/66.31 (48) pred(all_4_94) = all_4_52
% 260.53/66.31
% 260.53/66.31 Begin of proof
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (12), (47) imply:
% 260.53/66.31 | (49) pred(n6) = all_4_68
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (11), (41) imply:
% 260.53/66.31 | (50) pred(n6) = all_4_71
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (12), (35) imply:
% 260.53/66.31 | (51) succ(n6) = all_4_70
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (19), (41) imply:
% 260.53/66.31 | (52) succ(n6) = all_4_67
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (17) with n7, all_4_67, n6, simplifying with (29),
% 260.53/66.31 | (52) gives:
% 260.53/66.31 | (53) all_4_67 = n7
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (17) with all_4_70, all_4_67, n6, simplifying with
% 260.53/66.31 | (51), (52) gives:
% 260.53/66.31 | (54) all_4_67 = all_4_70
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (43) with n5, all_4_68, n6, simplifying with (20),
% 260.53/66.31 | (49) gives:
% 260.53/66.31 | (55) all_4_68 = n5
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (43) with all_4_71, all_4_68, n6, simplifying with
% 260.53/66.31 | (49), (50) gives:
% 260.53/66.31 | (56) all_4_68 = all_4_71
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (53), (54) imply:
% 260.53/66.31 | (57) all_4_70 = n7
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (55), (56) imply:
% 260.53/66.31 | (58) all_4_71 = n5
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (28), (53), (55) imply:
% 260.53/66.31 | (59) sum(n5, n7) = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (37), (55), (57) imply:
% 260.53/66.31 | (60) sum(n5, n7) = all_4_64
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (24), (53), (58) imply:
% 260.53/66.31 | (61) sum(n5, n7) = all_4_65
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (5), (57), (58) imply:
% 260.53/66.31 | (62) sum(n5, n7) = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with n1, all_4_65, n7, n5, simplifying with
% 260.53/66.31 | (15), (61) gives:
% 260.53/66.31 | (63) all_4_65 = n1
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_66, all_4_65, n7, n5, simplifying
% 260.53/66.31 | with (59), (61) gives:
% 260.53/66.31 | (64) all_4_65 = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_66, all_4_64, n7, n5, simplifying
% 260.53/66.31 | with (59), (60) gives:
% 260.53/66.31 | (65) all_4_64 = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_69, all_4_64, n7, n5, simplifying
% 260.53/66.31 | with (60), (62) gives:
% 260.53/66.31 | (66) all_4_64 = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (65), (66) imply:
% 260.53/66.31 | (67) all_4_66 = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (67) implies:
% 260.53/66.31 | (68) all_4_66 = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (63), (64) imply:
% 260.53/66.31 | (69) all_4_66 = n1
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (69) implies:
% 260.53/66.31 | (70) all_4_66 = n1
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (68), (70) imply:
% 260.53/66.31 | (71) all_4_69 = n1
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (66), (71) imply:
% 260.53/66.31 | (72) all_4_64 = n1
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (16), (63), (72) imply:
% 260.53/66.31 | (73) sum(n1, n1) = all_4_96
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (32), (70), (71) imply:
% 260.53/66.31 | (74) sum(n1, n1) = all_4_97
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with n2, all_4_96, n1, n1, simplifying with
% 260.53/66.31 | (44), (73) gives:
% 260.53/66.31 | (75) all_4_96 = n2
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_97, all_4_96, n1, n1, simplifying
% 260.53/66.31 | with (73), (74) gives:
% 260.53/66.31 | (76) all_4_96 = all_4_97
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (75), (76) imply:
% 260.53/66.31 | (77) all_4_97 = n2
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (77) implies:
% 260.53/66.31 | (78) all_4_97 = n2
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (21), (75) imply:
% 260.53/66.31 | (79) pred(n2) = all_4_60
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (18), (78) imply:
% 260.53/66.31 | (80) pred(n2) = all_4_63
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (22), (75) imply:
% 260.53/66.31 | (81) succ(n2) = all_4_62
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (38), (78) imply:
% 260.53/66.31 | (82) succ(n2) = all_4_59
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (17) with n3, all_4_59, n2, simplifying with (27),
% 260.53/66.31 | (82) gives:
% 260.53/66.31 | (83) all_4_59 = n3
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (17) with all_4_62, all_4_59, n2, simplifying with
% 260.53/66.31 | (81), (82) gives:
% 260.53/66.31 | (84) all_4_59 = all_4_62
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (43) with n1, all_4_60, n2, simplifying with (34),
% 260.53/66.31 | (79) gives:
% 260.53/66.31 | (85) all_4_60 = n1
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (43) with all_4_63, all_4_60, n2, simplifying with
% 260.53/66.31 | (79), (80) gives:
% 260.53/66.31 | (86) all_4_60 = all_4_63
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (83), (84) imply:
% 260.53/66.31 | (87) all_4_62 = n3
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.31 | (88) all_4_63 = n1
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (25), (83), (85) imply:
% 260.53/66.31 | (89) sum(n1, n3) = all_4_58
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (4), (85), (87) imply:
% 260.53/66.31 | (90) sum(n1, n3) = all_4_56
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (7), (83), (88) imply:
% 260.53/66.31 | (91) sum(n1, n3) = all_4_57
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (8), (87), (88) imply:
% 260.53/66.31 | (92) sum(n1, n3) = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with n4, all_4_57, n3, n1, simplifying with
% 260.53/66.31 | (42), (91) gives:
% 260.53/66.31 | (93) all_4_57 = n4
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_58, all_4_57, n3, n1, simplifying
% 260.53/66.31 | with (89), (91) gives:
% 260.53/66.31 | (94) all_4_57 = all_4_58
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_57, all_4_56, n3, n1, simplifying
% 260.53/66.31 | with (90), (91) gives:
% 260.53/66.31 | (95) all_4_56 = all_4_57
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_61, all_4_56, n3, n1, simplifying
% 260.53/66.31 | with (90), (92) gives:
% 260.53/66.31 | (96) all_4_56 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (95), (96) imply:
% 260.53/66.31 | (97) all_4_57 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | SIMP: (97) implies:
% 260.53/66.31 | (98) all_4_57 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (93), (94) imply:
% 260.53/66.31 | (99) all_4_58 = n4
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (94), (98) imply:
% 260.53/66.31 | (100) all_4_58 = all_4_61
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.31 | (101) all_4_61 = n4
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (96), (101) imply:
% 260.53/66.31 | (102) all_4_56 = n4
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (13), (93), (102) imply:
% 260.53/66.31 | (103) sum(n4, n4) = all_4_94
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (39), (99), (101) imply:
% 260.53/66.31 | (104) sum(n4, n4) = all_4_95
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with n8, all_4_94, n4, n4, simplifying with
% 260.53/66.31 | (36), (103) gives:
% 260.53/66.31 | (105) all_4_94 = n8
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (31) with all_4_95, all_4_94, n4, n4, simplifying
% 260.53/66.31 | with (103), (104) gives:
% 260.53/66.31 | (106) all_4_94 = all_4_95
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (105), (106) imply:
% 260.53/66.31 | (107) all_4_95 = n8
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (48), (105) imply:
% 260.53/66.31 | (108) pred(n8) = all_4_52
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (2), (107) imply:
% 260.53/66.31 | (109) pred(n8) = all_4_55
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (9), (105) imply:
% 260.53/66.31 | (110) succ(n8) = all_4_54
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (1), (107) imply:
% 260.53/66.31 | (111) succ(n8) = all_4_51
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (17) with n9, all_4_51, n8, simplifying with (30),
% 260.53/66.31 | (111) gives:
% 260.53/66.31 | (112) all_4_51 = n9
% 260.53/66.31 |
% 260.53/66.31 | REF_CLOSE: (3), (6), (10), (14), (17), (23), (26), (31), (33), (40), (43),
% 260.53/66.31 | (45), (46), (108), (109), (110), (111), (112) are inconsistent by
% 260.53/66.31 | sub-proof #113.
% 260.53/66.31 |
% 260.53/66.31 End of proof
% 260.53/66.31
% 260.53/66.31 Sub-proof #11 shows that the following formulas are inconsistent:
% 260.53/66.31 ----------------------------------------------------------------
% 260.53/66.31 (1) sum(n9, n0) = n9
% 260.53/66.31 (2) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.31 (3) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.31 (4) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.31 (5) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.31 (6) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.53/66.31 all_4_99)
% 260.53/66.31 (7) pred(n8) = n7
% 260.53/66.31 (8) pred(all_4_99) = all_4_71
% 260.53/66.31 (9) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.31 (10) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.31 (11) succ(n10) = n0
% 260.53/66.31 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.31 | ~ (succ(v2) = v0))
% 260.53/66.31 (13) pred(all_4_97) = all_4_63
% 260.53/66.31 (14) succ(all_4_99) = all_4_67
% 260.53/66.31 (15) pred(all_4_96) = all_4_60
% 260.53/66.31 (16) succ(all_4_96) = all_4_62
% 260.53/66.31 (17) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.31 (18) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.31 (19) sum(n5, n5) = n10
% 260.53/66.31 (20) all_4_99 = n8
% 260.53/66.31 (21) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.31 (22) succ(n8) = n9
% 260.53/66.31 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.31 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.31 (24) sum(n9, n9) = n7
% 260.53/66.31 (25) pred(n10) = n9
% 260.53/66.31 (26) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.31 (27) sum(n7, n9) = n5
% 260.53/66.31 (28) succ(all_4_98) = all_4_70
% 260.53/66.31 (29) all_4_98 = n8
% 260.53/66.31 (30) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.31 (31) succ(all_4_97) = all_4_59
% 260.53/66.31 (32) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.31 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.31 | ~ (pred(v2) = v0))
% 260.53/66.31 (34) pred(all_4_98) = all_4_68
% 260.53/66.31
% 260.53/66.31 Begin of proof
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (29), (34) imply:
% 260.53/66.31 | (35) pred(n8) = all_4_68
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (8), (20) imply:
% 260.53/66.31 | (36) pred(n8) = all_4_71
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (28), (29) imply:
% 260.53/66.31 | (37) succ(n8) = all_4_70
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (14), (20) imply:
% 260.53/66.31 | (38) succ(n8) = all_4_67
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (12) with n9, all_4_67, n8, simplifying with (22),
% 260.53/66.31 | (38) gives:
% 260.53/66.31 | (39) all_4_67 = n9
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (12) with all_4_70, all_4_67, n8, simplifying with
% 260.53/66.31 | (37), (38) gives:
% 260.53/66.31 | (40) all_4_67 = all_4_70
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with n7, all_4_68, n8, simplifying with (7),
% 260.53/66.31 | (35) gives:
% 260.53/66.31 | (41) all_4_68 = n7
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (33) with all_4_71, all_4_68, n8, simplifying with
% 260.53/66.31 | (35), (36) gives:
% 260.53/66.31 | (42) all_4_68 = all_4_71
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (39), (40) imply:
% 260.53/66.31 | (43) all_4_70 = n9
% 260.53/66.31 |
% 260.53/66.31 | COMBINE_EQS: (41), (42) imply:
% 260.53/66.31 | (44) all_4_71 = n7
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (21), (39), (41) imply:
% 260.53/66.31 | (45) sum(n7, n9) = all_4_66
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (30), (41), (43) imply:
% 260.53/66.31 | (46) sum(n7, n9) = all_4_64
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (17), (39), (44) imply:
% 260.53/66.31 | (47) sum(n7, n9) = all_4_65
% 260.53/66.31 |
% 260.53/66.31 | REDUCE: (3), (43), (44) imply:
% 260.53/66.31 | (48) sum(n7, n9) = all_4_69
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (23) with n5, all_4_65, n9, n7, simplifying with
% 260.53/66.31 | (27), (47) gives:
% 260.53/66.31 | (49) all_4_65 = n5
% 260.53/66.31 |
% 260.53/66.31 | GROUND_INST: instantiating (23) with all_4_66, all_4_65, n9, n7, simplifying
% 260.53/66.31 | with (45), (47) gives:
% 260.53/66.32 | (50) all_4_65 = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_66, all_4_64, n9, n7, simplifying
% 260.53/66.32 | with (45), (46) gives:
% 260.53/66.32 | (51) all_4_64 = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_69, all_4_64, n9, n7, simplifying
% 260.53/66.32 | with (46), (48) gives:
% 260.53/66.32 | (52) all_4_64 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (51), (52) imply:
% 260.53/66.32 | (53) all_4_66 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (53) implies:
% 260.53/66.32 | (54) all_4_66 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (49), (50) imply:
% 260.53/66.32 | (55) all_4_66 = n5
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (55) implies:
% 260.53/66.32 | (56) all_4_66 = n5
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (54), (56) imply:
% 260.53/66.32 | (57) all_4_69 = n5
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (52), (57) imply:
% 260.53/66.32 | (58) all_4_64 = n5
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (10), (49), (58) imply:
% 260.53/66.32 | (59) sum(n5, n5) = all_4_96
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (26), (56), (57) imply:
% 260.53/66.32 | (60) sum(n5, n5) = all_4_97
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n10, all_4_96, n5, n5, simplifying with
% 260.53/66.32 | (19), (59) gives:
% 260.53/66.32 | (61) all_4_96 = n10
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_97, all_4_96, n5, n5, simplifying
% 260.53/66.32 | with (59), (60) gives:
% 260.53/66.32 | (62) all_4_96 = all_4_97
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (61), (62) imply:
% 260.53/66.32 | (63) all_4_97 = n10
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (63) implies:
% 260.53/66.32 | (64) all_4_97 = n10
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (15), (61) imply:
% 260.53/66.32 | (65) pred(n10) = all_4_60
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (13), (64) imply:
% 260.53/66.32 | (66) pred(n10) = all_4_63
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (16), (61) imply:
% 260.53/66.32 | (67) succ(n10) = all_4_62
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (31), (64) imply:
% 260.53/66.32 | (68) succ(n10) = all_4_59
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (12) with n0, all_4_59, n10, simplifying with (11),
% 260.53/66.32 | (68) gives:
% 260.53/66.32 | (69) all_4_59 = n0
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (12) with all_4_62, all_4_59, n10, simplifying with
% 260.53/66.32 | (67), (68) gives:
% 260.53/66.32 | (70) all_4_59 = all_4_62
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with n9, all_4_60, n10, simplifying with (25),
% 260.53/66.32 | (65) gives:
% 260.53/66.32 | (71) all_4_60 = n9
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with all_4_63, all_4_60, n10, simplifying with
% 260.53/66.32 | (65), (66) gives:
% 260.53/66.32 | (72) all_4_60 = all_4_63
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (69), (70) imply:
% 260.53/66.32 | (73) all_4_62 = n0
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (71), (72) imply:
% 260.53/66.32 | (74) all_4_63 = n9
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (18), (69), (71) imply:
% 260.53/66.32 | (75) sum(n9, n0) = all_4_58
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (2), (71), (73) imply:
% 260.53/66.32 | (76) sum(n9, n0) = all_4_56
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (4), (69), (74) imply:
% 260.53/66.32 | (77) sum(n9, n0) = all_4_57
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (5), (73), (74) imply:
% 260.53/66.32 | (78) sum(n9, n0) = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n9, all_4_57, n0, n9, simplifying with
% 260.53/66.32 | (1), (77) gives:
% 260.53/66.32 | (79) all_4_57 = n9
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_58, all_4_57, n0, n9, simplifying
% 260.53/66.32 | with (75), (77) gives:
% 260.53/66.32 | (80) all_4_57 = all_4_58
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_57, all_4_56, n0, n9, simplifying
% 260.53/66.32 | with (76), (77) gives:
% 260.53/66.32 | (81) all_4_56 = all_4_57
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_61, all_4_56, n0, n9, simplifying
% 260.53/66.32 | with (76), (78) gives:
% 260.53/66.32 | (82) all_4_56 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (81), (82) imply:
% 260.53/66.32 | (83) all_4_57 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (83) implies:
% 260.53/66.32 | (84) all_4_57 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (79), (80) imply:
% 260.53/66.32 | (85) all_4_58 = n9
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (80), (84) imply:
% 260.53/66.32 | (86) all_4_58 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.32 | (87) all_4_61 = n9
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (82), (87) imply:
% 260.53/66.32 | (88) all_4_56 = n9
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (9), (79), (88) imply:
% 260.53/66.32 | (89) sum(n9, n9) = all_4_94
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (32), (85), (87) imply:
% 260.53/66.32 | (90) sum(n9, n9) = all_4_95
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n7, all_4_95, n9, n9, simplifying with
% 260.53/66.32 | (24), (90) gives:
% 260.53/66.32 | (91) all_4_95 = n7
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n7, all_4_94, n9, n9, simplifying with
% 260.53/66.32 | (24), (89) gives:
% 260.53/66.32 | (92) all_4_94 = n7
% 260.53/66.32 |
% 260.53/66.32 | REF_CLOSE: (6), (20), (29), (61), (64), (91), (92) are inconsistent by
% 260.53/66.32 | sub-proof #114.
% 260.53/66.32 |
% 260.53/66.32 End of proof
% 260.53/66.32
% 260.53/66.32 Sub-proof #12 shows that the following formulas are inconsistent:
% 260.53/66.32 ----------------------------------------------------------------
% 260.53/66.32 (1) sum(n9, n0) = n9
% 260.53/66.32 (2) sum(n3, n3) = n6
% 260.53/66.32 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.32 (4) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.32 (5) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.32 (6) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.32 (7) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.53/66.32 all_4_99)
% 260.53/66.32 (8) pred(all_4_99) = all_4_71
% 260.53/66.32 (9) sum(n6, n8) = n3
% 260.53/66.32 (10) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.32 (11) all_4_99 = n10
% 260.53/66.32 (12) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.32 (13) succ(n10) = n0
% 260.53/66.32 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.32 | ~ (succ(v2) = v0))
% 260.53/66.32 (15) pred(all_4_97) = all_4_63
% 260.53/66.32 (16) succ(all_4_99) = all_4_67
% 260.53/66.32 (17) pred(all_4_96) = all_4_60
% 260.53/66.32 (18) succ(all_4_96) = all_4_62
% 260.53/66.32 (19) pred(n7) = n6
% 260.53/66.32 (20) succ(n7) = n8
% 260.53/66.32 (21) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.32 (22) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.32 (23) all_4_98 = n10
% 260.53/66.32 (24) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.32 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.32 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.32 (26) sum(n9, n9) = n7
% 260.53/66.32 (27) pred(n10) = n9
% 260.53/66.32 (28) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.32 (29) succ(all_4_98) = all_4_70
% 260.53/66.32 (30) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.32 (31) succ(all_4_97) = all_4_59
% 260.53/66.32 (32) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.32 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.32 | ~ (pred(v2) = v0))
% 260.53/66.32 (34) pred(all_4_98) = all_4_68
% 260.53/66.32
% 260.53/66.32 Begin of proof
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (23), (34) imply:
% 260.53/66.32 | (35) pred(n10) = all_4_68
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (8), (11) imply:
% 260.53/66.32 | (36) pred(n10) = all_4_71
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (23), (29) imply:
% 260.53/66.32 | (37) succ(n10) = all_4_70
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (11), (16) imply:
% 260.53/66.32 | (38) succ(n10) = all_4_67
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (14) with n0, all_4_67, n10, simplifying with (13),
% 260.53/66.32 | (38) gives:
% 260.53/66.32 | (39) all_4_67 = n0
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (14) with all_4_70, all_4_67, n10, simplifying with
% 260.53/66.32 | (37), (38) gives:
% 260.53/66.32 | (40) all_4_67 = all_4_70
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with n9, all_4_68, n10, simplifying with (27),
% 260.53/66.32 | (35) gives:
% 260.53/66.32 | (41) all_4_68 = n9
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with all_4_71, all_4_68, n10, simplifying with
% 260.53/66.32 | (35), (36) gives:
% 260.53/66.32 | (42) all_4_68 = all_4_71
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (39), (40) imply:
% 260.53/66.32 | (43) all_4_70 = n0
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (41), (42) imply:
% 260.53/66.32 | (44) all_4_71 = n9
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (24), (39), (41) imply:
% 260.53/66.32 | (45) sum(n9, n0) = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (30), (41), (43) imply:
% 260.53/66.32 | (46) sum(n9, n0) = all_4_64
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (21), (39), (44) imply:
% 260.53/66.32 | (47) sum(n9, n0) = all_4_65
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (4), (43), (44) imply:
% 260.53/66.32 | (48) sum(n9, n0) = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with n9, all_4_65, n0, n9, simplifying with
% 260.53/66.32 | (1), (47) gives:
% 260.53/66.32 | (49) all_4_65 = n9
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_66, all_4_65, n0, n9, simplifying
% 260.53/66.32 | with (45), (47) gives:
% 260.53/66.32 | (50) all_4_65 = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_66, all_4_64, n0, n9, simplifying
% 260.53/66.32 | with (45), (46) gives:
% 260.53/66.32 | (51) all_4_64 = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_69, all_4_64, n0, n9, simplifying
% 260.53/66.32 | with (46), (48) gives:
% 260.53/66.32 | (52) all_4_64 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (51), (52) imply:
% 260.53/66.32 | (53) all_4_66 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (53) implies:
% 260.53/66.32 | (54) all_4_66 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (49), (50) imply:
% 260.53/66.32 | (55) all_4_66 = n9
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (55) implies:
% 260.53/66.32 | (56) all_4_66 = n9
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (54), (56) imply:
% 260.53/66.32 | (57) all_4_69 = n9
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (52), (57) imply:
% 260.53/66.32 | (58) all_4_64 = n9
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (12), (49), (58) imply:
% 260.53/66.32 | (59) sum(n9, n9) = all_4_96
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (28), (56), (57) imply:
% 260.53/66.32 | (60) sum(n9, n9) = all_4_97
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with n7, all_4_96, n9, n9, simplifying with
% 260.53/66.32 | (26), (59) gives:
% 260.53/66.32 | (61) all_4_96 = n7
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_97, all_4_96, n9, n9, simplifying
% 260.53/66.32 | with (59), (60) gives:
% 260.53/66.32 | (62) all_4_96 = all_4_97
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (61), (62) imply:
% 260.53/66.32 | (63) all_4_97 = n7
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (63) implies:
% 260.53/66.32 | (64) all_4_97 = n7
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (17), (61) imply:
% 260.53/66.32 | (65) pred(n7) = all_4_60
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (15), (64) imply:
% 260.53/66.32 | (66) pred(n7) = all_4_63
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (18), (61) imply:
% 260.53/66.32 | (67) succ(n7) = all_4_62
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (31), (64) imply:
% 260.53/66.32 | (68) succ(n7) = all_4_59
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (14) with n8, all_4_59, n7, simplifying with (20),
% 260.53/66.32 | (68) gives:
% 260.53/66.32 | (69) all_4_59 = n8
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (14) with all_4_62, all_4_59, n7, simplifying with
% 260.53/66.32 | (67), (68) gives:
% 260.53/66.32 | (70) all_4_59 = all_4_62
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with n6, all_4_60, n7, simplifying with (19),
% 260.53/66.32 | (65) gives:
% 260.53/66.32 | (71) all_4_60 = n6
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with all_4_63, all_4_60, n7, simplifying with
% 260.53/66.32 | (65), (66) gives:
% 260.53/66.32 | (72) all_4_60 = all_4_63
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (69), (70) imply:
% 260.53/66.32 | (73) all_4_62 = n8
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (71), (72) imply:
% 260.53/66.32 | (74) all_4_63 = n6
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (22), (69), (71) imply:
% 260.53/66.32 | (75) sum(n6, n8) = all_4_58
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (3), (71), (73) imply:
% 260.53/66.32 | (76) sum(n6, n8) = all_4_56
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (5), (69), (74) imply:
% 260.53/66.32 | (77) sum(n6, n8) = all_4_57
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (6), (73), (74) imply:
% 260.53/66.32 | (78) sum(n6, n8) = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with n3, all_4_57, n8, n6, simplifying with
% 260.53/66.32 | (9), (77) gives:
% 260.53/66.32 | (79) all_4_57 = n3
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_58, all_4_57, n8, n6, simplifying
% 260.53/66.32 | with (75), (77) gives:
% 260.53/66.32 | (80) all_4_57 = all_4_58
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_57, all_4_56, n8, n6, simplifying
% 260.53/66.32 | with (76), (77) gives:
% 260.53/66.32 | (81) all_4_56 = all_4_57
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with all_4_61, all_4_56, n8, n6, simplifying
% 260.53/66.32 | with (76), (78) gives:
% 260.53/66.32 | (82) all_4_56 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (81), (82) imply:
% 260.53/66.32 | (83) all_4_57 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (83) implies:
% 260.53/66.32 | (84) all_4_57 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (79), (80) imply:
% 260.53/66.32 | (85) all_4_58 = n3
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (80), (84) imply:
% 260.53/66.32 | (86) all_4_58 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.32 | (87) all_4_61 = n3
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (82), (87) imply:
% 260.53/66.32 | (88) all_4_56 = n3
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (10), (79), (88) imply:
% 260.53/66.32 | (89) sum(n3, n3) = all_4_94
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (32), (85), (87) imply:
% 260.53/66.32 | (90) sum(n3, n3) = all_4_95
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with n6, all_4_95, n3, n3, simplifying with
% 260.53/66.32 | (2), (90) gives:
% 260.53/66.32 | (91) all_4_95 = n6
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (25) with n6, all_4_94, n3, n3, simplifying with
% 260.53/66.32 | (2), (89) gives:
% 260.53/66.32 | (92) all_4_94 = n6
% 260.53/66.32 |
% 260.53/66.32 | REF_CLOSE: (7), (11), (23), (61), (64), (91), (92) are inconsistent by
% 260.53/66.32 | sub-proof #127.
% 260.53/66.32 |
% 260.53/66.32 End of proof
% 260.53/66.32
% 260.53/66.32 Sub-proof #13 shows that the following formulas are inconsistent:
% 260.53/66.32 ----------------------------------------------------------------
% 260.53/66.32 (1) succ(n1) = n2
% 260.53/66.32 (2) sum(n2, n2) = n4
% 260.53/66.32 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.32 (4) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.32 (5) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.32 (6) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.32 (7) sum(n8, n8) = n5
% 260.53/66.32 (8) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.53/66.32 all_4_99)
% 260.53/66.32 (9) pred(all_4_99) = all_4_71
% 260.53/66.32 (10) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.32 (11) sum(n0, n2) = n2
% 260.53/66.32 (12) sum(n3, n5) = n8
% 260.53/66.32 (13) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.32 (14) pred(n4) = n3
% 260.53/66.32 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.32 | ~ (succ(v2) = v0))
% 260.53/66.32 (16) pred(all_4_97) = all_4_63
% 260.53/66.32 (17) succ(all_4_99) = all_4_67
% 260.53/66.32 (18) pred(all_4_96) = all_4_60
% 260.53/66.32 (19) succ(all_4_96) = all_4_62
% 260.53/66.32 (20) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.32 (21) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.32 (22) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.32 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.32 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.32 (24) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.32 (25) succ(n4) = n5
% 260.53/66.32 (26) succ(all_4_98) = all_4_70
% 260.53/66.32 (27) all_4_99 = n1
% 260.53/66.32 (28) pred(n1) = n0
% 260.53/66.32 (29) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.32 (30) succ(all_4_97) = all_4_59
% 260.53/66.32 (31) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.32 (32) all_4_98 = n1
% 260.53/66.32 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.32 | ~ (pred(v2) = v0))
% 260.53/66.32 (34) pred(all_4_98) = all_4_68
% 260.53/66.32
% 260.53/66.32 Begin of proof
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (32), (34) imply:
% 260.53/66.32 | (35) pred(n1) = all_4_68
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (9), (27) imply:
% 260.53/66.32 | (36) pred(n1) = all_4_71
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (26), (32) imply:
% 260.53/66.32 | (37) succ(n1) = all_4_70
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (17), (27) imply:
% 260.53/66.32 | (38) succ(n1) = all_4_67
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (15) with n2, all_4_67, n1, simplifying with (1),
% 260.53/66.32 | (38) gives:
% 260.53/66.32 | (39) all_4_67 = n2
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (15) with all_4_70, all_4_67, n1, simplifying with
% 260.53/66.32 | (37), (38) gives:
% 260.53/66.32 | (40) all_4_67 = all_4_70
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with n0, all_4_68, n1, simplifying with (28),
% 260.53/66.32 | (35) gives:
% 260.53/66.32 | (41) all_4_68 = n0
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with all_4_71, all_4_68, n1, simplifying with
% 260.53/66.32 | (35), (36) gives:
% 260.53/66.32 | (42) all_4_68 = all_4_71
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (39), (40) imply:
% 260.53/66.32 | (43) all_4_70 = n2
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (41), (42) imply:
% 260.53/66.32 | (44) all_4_71 = n0
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (22), (39), (41) imply:
% 260.53/66.32 | (45) sum(n0, n2) = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (29), (41), (43) imply:
% 260.53/66.32 | (46) sum(n0, n2) = all_4_64
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (20), (39), (44) imply:
% 260.53/66.32 | (47) sum(n0, n2) = all_4_65
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (4), (43), (44) imply:
% 260.53/66.32 | (48) sum(n0, n2) = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n2, all_4_65, n2, n0, simplifying with
% 260.53/66.32 | (11), (47) gives:
% 260.53/66.32 | (49) all_4_65 = n2
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_66, all_4_65, n2, n0, simplifying
% 260.53/66.32 | with (45), (47) gives:
% 260.53/66.32 | (50) all_4_65 = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_66, all_4_64, n2, n0, simplifying
% 260.53/66.32 | with (45), (46) gives:
% 260.53/66.32 | (51) all_4_64 = all_4_66
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_69, all_4_64, n2, n0, simplifying
% 260.53/66.32 | with (46), (48) gives:
% 260.53/66.32 | (52) all_4_64 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (51), (52) imply:
% 260.53/66.32 | (53) all_4_66 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (53) implies:
% 260.53/66.32 | (54) all_4_66 = all_4_69
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (49), (50) imply:
% 260.53/66.32 | (55) all_4_66 = n2
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (55) implies:
% 260.53/66.32 | (56) all_4_66 = n2
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (54), (56) imply:
% 260.53/66.32 | (57) all_4_69 = n2
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (52), (57) imply:
% 260.53/66.32 | (58) all_4_64 = n2
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (13), (49), (58) imply:
% 260.53/66.32 | (59) sum(n2, n2) = all_4_96
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (24), (56), (57) imply:
% 260.53/66.32 | (60) sum(n2, n2) = all_4_97
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n4, all_4_96, n2, n2, simplifying with
% 260.53/66.32 | (2), (59) gives:
% 260.53/66.32 | (61) all_4_96 = n4
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_97, all_4_96, n2, n2, simplifying
% 260.53/66.32 | with (59), (60) gives:
% 260.53/66.32 | (62) all_4_96 = all_4_97
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (61), (62) imply:
% 260.53/66.32 | (63) all_4_97 = n4
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (63) implies:
% 260.53/66.32 | (64) all_4_97 = n4
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (18), (61) imply:
% 260.53/66.32 | (65) pred(n4) = all_4_60
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (16), (64) imply:
% 260.53/66.32 | (66) pred(n4) = all_4_63
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (19), (61) imply:
% 260.53/66.32 | (67) succ(n4) = all_4_62
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (30), (64) imply:
% 260.53/66.32 | (68) succ(n4) = all_4_59
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (15) with n5, all_4_59, n4, simplifying with (25),
% 260.53/66.32 | (68) gives:
% 260.53/66.32 | (69) all_4_59 = n5
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (15) with all_4_62, all_4_59, n4, simplifying with
% 260.53/66.32 | (67), (68) gives:
% 260.53/66.32 | (70) all_4_59 = all_4_62
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with n3, all_4_60, n4, simplifying with (14),
% 260.53/66.32 | (65) gives:
% 260.53/66.32 | (71) all_4_60 = n3
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (33) with all_4_63, all_4_60, n4, simplifying with
% 260.53/66.32 | (65), (66) gives:
% 260.53/66.32 | (72) all_4_60 = all_4_63
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (69), (70) imply:
% 260.53/66.32 | (73) all_4_62 = n5
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (71), (72) imply:
% 260.53/66.32 | (74) all_4_63 = n3
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (21), (69), (71) imply:
% 260.53/66.32 | (75) sum(n3, n5) = all_4_58
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (3), (71), (73) imply:
% 260.53/66.32 | (76) sum(n3, n5) = all_4_56
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (5), (69), (74) imply:
% 260.53/66.32 | (77) sum(n3, n5) = all_4_57
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (6), (73), (74) imply:
% 260.53/66.32 | (78) sum(n3, n5) = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n8, all_4_57, n5, n3, simplifying with
% 260.53/66.32 | (12), (77) gives:
% 260.53/66.32 | (79) all_4_57 = n8
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_58, all_4_57, n5, n3, simplifying
% 260.53/66.32 | with (75), (77) gives:
% 260.53/66.32 | (80) all_4_57 = all_4_58
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_57, all_4_56, n5, n3, simplifying
% 260.53/66.32 | with (76), (77) gives:
% 260.53/66.32 | (81) all_4_56 = all_4_57
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with all_4_61, all_4_56, n5, n3, simplifying
% 260.53/66.32 | with (76), (78) gives:
% 260.53/66.32 | (82) all_4_56 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (81), (82) imply:
% 260.53/66.32 | (83) all_4_57 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | SIMP: (83) implies:
% 260.53/66.32 | (84) all_4_57 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (79), (80) imply:
% 260.53/66.32 | (85) all_4_58 = n8
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (80), (84) imply:
% 260.53/66.32 | (86) all_4_58 = all_4_61
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.32 | (87) all_4_61 = n8
% 260.53/66.32 |
% 260.53/66.32 | COMBINE_EQS: (82), (87) imply:
% 260.53/66.32 | (88) all_4_56 = n8
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (10), (79), (88) imply:
% 260.53/66.32 | (89) sum(n8, n8) = all_4_94
% 260.53/66.32 |
% 260.53/66.32 | REDUCE: (31), (85), (87) imply:
% 260.53/66.32 | (90) sum(n8, n8) = all_4_95
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n5, all_4_95, n8, n8, simplifying with
% 260.53/66.32 | (7), (90) gives:
% 260.53/66.32 | (91) all_4_95 = n5
% 260.53/66.32 |
% 260.53/66.32 | GROUND_INST: instantiating (23) with n5, all_4_94, n8, n8, simplifying with
% 260.53/66.32 | (7), (89) gives:
% 260.53/66.32 | (92) all_4_94 = n5
% 260.53/66.32 |
% 260.53/66.32 | REF_CLOSE: (8), (27), (32), (61), (64), (91), (92) are inconsistent by
% 260.53/66.32 | sub-proof #143.
% 260.53/66.32 |
% 260.53/66.32 End of proof
% 260.53/66.32
% 260.53/66.32 Sub-proof #14 shows that the following formulas are inconsistent:
% 260.53/66.32 ----------------------------------------------------------------
% 260.53/66.32 (1) all_4_97 = n1
% 260.53/66.32 (2) sum(n2, n2) = n4
% 260.53/66.32 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.32 (4) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.32 (5) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.32 (6) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.53/66.32 all_4_99)
% 260.53/66.32 (7) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.32 (8) sum(n0, n2) = n2
% 260.53/66.32 (9) all_4_96 = n1
% 260.53/66.32 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.32 | ~ (succ(v2) = v0))
% 260.53/66.33 (11) all_4_59 = n2
% 260.53/66.33 (12) all_4_98 = n3
% 260.53/66.33 (13) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.33 (14) succ(n1) = all_4_62
% 260.53/66.33 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.33 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.33 (16) pred(n1) = all_4_60
% 260.53/66.33 (17) pred(n1) = all_4_63
% 260.53/66.33 (18) all_4_99 = n3
% 260.53/66.33 (19) succ(n1) = all_4_59
% 260.53/66.33 (20) pred(n1) = n0
% 260.53/66.33 (21) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.33 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.33 | ~ (pred(v2) = v0))
% 260.53/66.33
% 260.53/66.33 Begin of proof
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (10) with all_4_62, all_4_59, n1, simplifying with
% 260.53/66.33 | (14), (19) gives:
% 260.53/66.33 | (23) all_4_59 = all_4_62
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (22) with n0, all_4_60, n1, simplifying with (16),
% 260.53/66.33 | (20) gives:
% 260.53/66.33 | (24) all_4_60 = n0
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (22) with all_4_63, all_4_60, n1, simplifying with
% 260.53/66.33 | (16), (17) gives:
% 260.53/66.33 | (25) all_4_60 = all_4_63
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (11), (23) imply:
% 260.53/66.33 | (26) all_4_62 = n2
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (24), (25) imply:
% 260.53/66.33 | (27) all_4_63 = n0
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (11), (13), (24) imply:
% 260.53/66.33 | (28) sum(n0, n2) = all_4_58
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (3), (24), (26) imply:
% 260.53/66.33 | (29) sum(n0, n2) = all_4_56
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (4), (11), (27) imply:
% 260.53/66.33 | (30) sum(n0, n2) = all_4_57
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (5), (26), (27) imply:
% 260.53/66.33 | (31) sum(n0, n2) = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (15) with n2, all_4_57, n2, n0, simplifying with
% 260.53/66.33 | (8), (30) gives:
% 260.53/66.33 | (32) all_4_57 = n2
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (15) with all_4_58, all_4_57, n2, n0, simplifying
% 260.53/66.33 | with (28), (30) gives:
% 260.53/66.33 | (33) all_4_57 = all_4_58
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (15) with all_4_57, all_4_56, n2, n0, simplifying
% 260.53/66.33 | with (29), (30) gives:
% 260.53/66.33 | (34) all_4_56 = all_4_57
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (15) with all_4_61, all_4_56, n2, n0, simplifying
% 260.53/66.33 | with (29), (31) gives:
% 260.53/66.33 | (35) all_4_56 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (34), (35) imply:
% 260.53/66.33 | (36) all_4_57 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (36) implies:
% 260.53/66.33 | (37) all_4_57 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (32), (33) imply:
% 260.53/66.33 | (38) all_4_58 = n2
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (33), (37) imply:
% 260.53/66.33 | (39) all_4_58 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (38), (39) imply:
% 260.53/66.33 | (40) all_4_61 = n2
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (35), (40) imply:
% 260.53/66.33 | (41) all_4_56 = n2
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (7), (32), (41) imply:
% 260.53/66.33 | (42) sum(n2, n2) = all_4_94
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (21), (38), (40) imply:
% 260.53/66.33 | (43) sum(n2, n2) = all_4_95
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (15) with n4, all_4_95, n2, n2, simplifying with
% 260.53/66.33 | (2), (43) gives:
% 260.53/66.33 | (44) all_4_95 = n4
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (15) with n4, all_4_94, n2, n2, simplifying with
% 260.53/66.33 | (2), (42) gives:
% 260.53/66.33 | (45) all_4_94 = n4
% 260.53/66.33 |
% 260.53/66.33 | REF_CLOSE: (1), (6), (9), (12), (18), (44), (45) are inconsistent by sub-proof
% 260.53/66.33 | #160.
% 260.53/66.33 |
% 260.53/66.33 End of proof
% 260.53/66.33
% 260.53/66.33 Sub-proof #15 shows that the following formulas are inconsistent:
% 260.53/66.33 ----------------------------------------------------------------
% 260.53/66.33 (1) succ(all_4_95) = all_4_51
% 260.53/66.33 (2) pred(all_4_95) = all_4_55
% 260.53/66.33 (3) sum(n9, n0) = n9
% 260.53/66.33 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.33 (5) sum(n3, n3) = n6
% 260.53/66.33 (6) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.33 (7) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.33 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.33 (9) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.33 (10) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.33 (11) succ(all_4_94) = all_4_54
% 260.53/66.33 (12) pred(n8) = n7
% 260.53/66.33 (13) pred(all_4_99) = all_4_71
% 260.53/66.33 (14) sum(n6, n8) = n3
% 260.53/66.33 (15) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.33 (16) ~ (all_4_92 = all_4_93)
% 260.53/66.33 (17) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.33 (18) succ(n10) = n0
% 260.53/66.33 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.33 | ~ (succ(v2) = v0))
% 260.53/66.33 (20) pred(all_4_97) = all_4_63
% 260.53/66.33 (21) succ(all_4_99) = all_4_67
% 260.53/66.33 (22) pred(all_4_96) = all_4_60
% 260.53/66.33 (23) succ(all_4_96) = all_4_62
% 260.53/66.33 (24) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.33 (25) pred(n7) = n6
% 260.53/66.33 (26) succ(n7) = n8
% 260.53/66.33 (27) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.33 (28) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.33 (29) sum(n5, n5) = n10
% 260.53/66.33 (30) all_4_99 = n8
% 260.53/66.33 (31) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.33 (32) succ(n8) = n9
% 260.53/66.33 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.33 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.33 (34) sum(n9, n9) = n7
% 260.53/66.33 (35) pred(n10) = n9
% 260.53/66.33 (36) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.33 (37) sum(n7, n9) = n5
% 260.53/66.33 (38) succ(all_4_98) = all_4_70
% 260.53/66.33 (39) all_4_98 = n8
% 260.53/66.33 (40) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.33 (41) succ(all_4_97) = all_4_59
% 260.53/66.33 (42) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.33 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.33 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.33 | ~ (pred(v2) = v0))
% 260.53/66.33 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.33 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.33 (47) pred(all_4_98) = all_4_68
% 260.53/66.33 (48) pred(all_4_94) = all_4_52
% 260.53/66.33
% 260.53/66.33 Begin of proof
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (39), (47) imply:
% 260.53/66.33 | (49) pred(n8) = all_4_68
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (13), (30) imply:
% 260.53/66.33 | (50) pred(n8) = all_4_71
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (38), (39) imply:
% 260.53/66.33 | (51) succ(n8) = all_4_70
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (21), (30) imply:
% 260.53/66.33 | (52) succ(n8) = all_4_67
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (19) with n9, all_4_67, n8, simplifying with (32),
% 260.53/66.33 | (52) gives:
% 260.53/66.33 | (53) all_4_67 = n9
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (19) with all_4_70, all_4_67, n8, simplifying with
% 260.53/66.33 | (51), (52) gives:
% 260.53/66.33 | (54) all_4_67 = all_4_70
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (44) with n7, all_4_68, n8, simplifying with (12),
% 260.53/66.33 | (49) gives:
% 260.53/66.33 | (55) all_4_68 = n7
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n8, simplifying with
% 260.53/66.33 | (49), (50) gives:
% 260.53/66.33 | (56) all_4_68 = all_4_71
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (53), (54) imply:
% 260.53/66.33 | (57) all_4_70 = n9
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (55), (56) imply:
% 260.53/66.33 | (58) all_4_71 = n7
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (31), (53), (55) imply:
% 260.53/66.33 | (59) sum(n7, n9) = all_4_66
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (40), (55), (57) imply:
% 260.53/66.33 | (60) sum(n7, n9) = all_4_64
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (27), (53), (58) imply:
% 260.53/66.33 | (61) sum(n7, n9) = all_4_65
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (7), (57), (58) imply:
% 260.53/66.33 | (62) sum(n7, n9) = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with n5, all_4_65, n9, n7, simplifying with
% 260.53/66.33 | (37), (61) gives:
% 260.53/66.33 | (63) all_4_65 = n5
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_66, all_4_65, n9, n7, simplifying
% 260.53/66.33 | with (59), (61) gives:
% 260.53/66.33 | (64) all_4_65 = all_4_66
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_66, all_4_64, n9, n7, simplifying
% 260.53/66.33 | with (59), (60) gives:
% 260.53/66.33 | (65) all_4_64 = all_4_66
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_69, all_4_64, n9, n7, simplifying
% 260.53/66.33 | with (60), (62) gives:
% 260.53/66.33 | (66) all_4_64 = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (65), (66) imply:
% 260.53/66.33 | (67) all_4_66 = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (67) implies:
% 260.53/66.33 | (68) all_4_66 = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (63), (64) imply:
% 260.53/66.33 | (69) all_4_66 = n5
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (69) implies:
% 260.53/66.33 | (70) all_4_66 = n5
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (68), (70) imply:
% 260.53/66.33 | (71) all_4_69 = n5
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (66), (71) imply:
% 260.53/66.33 | (72) all_4_64 = n5
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (17), (63), (72) imply:
% 260.53/66.33 | (73) sum(n5, n5) = all_4_96
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (36), (70), (71) imply:
% 260.53/66.33 | (74) sum(n5, n5) = all_4_97
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with n10, all_4_96, n5, n5, simplifying with
% 260.53/66.33 | (29), (73) gives:
% 260.53/66.33 | (75) all_4_96 = n10
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_97, all_4_96, n5, n5, simplifying
% 260.53/66.33 | with (73), (74) gives:
% 260.53/66.33 | (76) all_4_96 = all_4_97
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (75), (76) imply:
% 260.53/66.33 | (77) all_4_97 = n10
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (77) implies:
% 260.53/66.33 | (78) all_4_97 = n10
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (22), (75) imply:
% 260.53/66.33 | (79) pred(n10) = all_4_60
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (20), (78) imply:
% 260.53/66.33 | (80) pred(n10) = all_4_63
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (23), (75) imply:
% 260.53/66.33 | (81) succ(n10) = all_4_62
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (41), (78) imply:
% 260.53/66.33 | (82) succ(n10) = all_4_59
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (19) with n0, all_4_59, n10, simplifying with (18),
% 260.53/66.33 | (82) gives:
% 260.53/66.33 | (83) all_4_59 = n0
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (19) with all_4_62, all_4_59, n10, simplifying with
% 260.53/66.33 | (81), (82) gives:
% 260.53/66.33 | (84) all_4_59 = all_4_62
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (44) with n9, all_4_60, n10, simplifying with (35),
% 260.53/66.33 | (79) gives:
% 260.53/66.33 | (85) all_4_60 = n9
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n10, simplifying with
% 260.53/66.33 | (79), (80) gives:
% 260.53/66.33 | (86) all_4_60 = all_4_63
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (83), (84) imply:
% 260.53/66.33 | (87) all_4_62 = n0
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.33 | (88) all_4_63 = n9
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (28), (83), (85) imply:
% 260.53/66.33 | (89) sum(n9, n0) = all_4_58
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (6), (85), (87) imply:
% 260.53/66.33 | (90) sum(n9, n0) = all_4_56
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (9), (83), (88) imply:
% 260.53/66.33 | (91) sum(n9, n0) = all_4_57
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (10), (87), (88) imply:
% 260.53/66.33 | (92) sum(n9, n0) = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with n9, all_4_57, n0, n9, simplifying with
% 260.53/66.33 | (3), (91) gives:
% 260.53/66.33 | (93) all_4_57 = n9
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_58, all_4_57, n0, n9, simplifying
% 260.53/66.33 | with (89), (91) gives:
% 260.53/66.33 | (94) all_4_57 = all_4_58
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_57, all_4_56, n0, n9, simplifying
% 260.53/66.33 | with (90), (91) gives:
% 260.53/66.33 | (95) all_4_56 = all_4_57
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_61, all_4_56, n0, n9, simplifying
% 260.53/66.33 | with (90), (92) gives:
% 260.53/66.33 | (96) all_4_56 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (95), (96) imply:
% 260.53/66.33 | (97) all_4_57 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (97) implies:
% 260.53/66.33 | (98) all_4_57 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (93), (94) imply:
% 260.53/66.33 | (99) all_4_58 = n9
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (94), (98) imply:
% 260.53/66.33 | (100) all_4_58 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.33 | (101) all_4_61 = n9
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (96), (101) imply:
% 260.53/66.33 | (102) all_4_56 = n9
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (15), (93), (102) imply:
% 260.53/66.33 | (103) sum(n9, n9) = all_4_94
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (42), (99), (101) imply:
% 260.53/66.33 | (104) sum(n9, n9) = all_4_95
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with n7, all_4_94, n9, n9, simplifying with
% 260.53/66.33 | (34), (103) gives:
% 260.53/66.33 | (105) all_4_94 = n7
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (33) with all_4_95, all_4_94, n9, n9, simplifying
% 260.53/66.33 | with (103), (104) gives:
% 260.53/66.33 | (106) all_4_94 = all_4_95
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (105), (106) imply:
% 260.53/66.33 | (107) all_4_95 = n7
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (48), (105) imply:
% 260.53/66.33 | (108) pred(n7) = all_4_52
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (2), (107) imply:
% 260.53/66.33 | (109) pred(n7) = all_4_55
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (11), (105) imply:
% 260.53/66.33 | (110) succ(n7) = all_4_54
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (1), (107) imply:
% 260.53/66.33 | (111) succ(n7) = all_4_51
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (19) with n8, all_4_51, n7, simplifying with (26),
% 260.53/66.33 | (111) gives:
% 260.53/66.33 | (112) all_4_51 = n8
% 260.53/66.33 |
% 260.53/66.33 | REF_CLOSE: (4), (5), (8), (14), (16), (19), (24), (25), (33), (43), (44),
% 260.53/66.33 | (45), (46), (108), (109), (110), (111), (112) are inconsistent by
% 260.53/66.33 | sub-proof #116.
% 260.53/66.33 |
% 260.53/66.33 End of proof
% 260.53/66.33
% 260.53/66.33 Sub-proof #16 shows that the following formulas are inconsistent:
% 260.53/66.33 ----------------------------------------------------------------
% 260.53/66.33 (1) succ(all_4_95) = all_4_51
% 260.53/66.33 (2) pred(all_4_95) = all_4_55
% 260.53/66.33 (3) sum(n9, n0) = n9
% 260.53/66.33 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.33 (5) sum(n3, n3) = n6
% 260.53/66.33 (6) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.33 (7) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.33 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.33 (9) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.33 (10) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.33 (11) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.53/66.33 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.33 (12) succ(all_4_94) = all_4_54
% 260.53/66.33 (13) pred(all_4_99) = all_4_71
% 260.53/66.33 (14) sum(n6, n8) = n3
% 260.53/66.33 (15) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.33 (16) all_4_99 = n10
% 260.53/66.33 (17) sum(n5, n7) = n1
% 260.53/66.33 (18) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.33 (19) succ(n10) = n0
% 260.53/66.33 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.33 | ~ (succ(v2) = v0))
% 260.53/66.33 (21) pred(all_4_97) = all_4_63
% 260.53/66.33 (22) succ(all_4_99) = all_4_67
% 260.53/66.33 (23) pred(n6) = n5
% 260.53/66.33 (24) pred(all_4_96) = all_4_60
% 260.53/66.33 (25) succ(all_4_96) = all_4_62
% 260.53/66.33 (26) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.33 (27) pred(n7) = n6
% 260.53/66.33 (28) succ(n7) = n8
% 260.53/66.33 (29) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.33 (30) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.33 (31) all_4_98 = n10
% 260.53/66.33 (32) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.33 (33) succ(n6) = n7
% 260.53/66.33 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.33 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.33 (35) sum(n9, n9) = n7
% 260.53/66.33 (36) pred(n10) = n9
% 260.53/66.33 (37) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.33 (38) succ(all_4_98) = all_4_70
% 260.53/66.33 (39) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.33 (40) succ(all_4_97) = all_4_59
% 260.53/66.33 (41) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.33 (42) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.33 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.33 | ~ (pred(v2) = v0))
% 260.53/66.33 (44) sum(n1, n1) = n2
% 260.53/66.33 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.33 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.33 (47) pred(all_4_98) = all_4_68
% 260.53/66.33 (48) pred(all_4_94) = all_4_52
% 260.53/66.33
% 260.53/66.33 Begin of proof
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (31), (47) imply:
% 260.53/66.33 | (49) pred(n10) = all_4_68
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (13), (16) imply:
% 260.53/66.33 | (50) pred(n10) = all_4_71
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (31), (38) imply:
% 260.53/66.33 | (51) succ(n10) = all_4_70
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (16), (22) imply:
% 260.53/66.33 | (52) succ(n10) = all_4_67
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (20) with n0, all_4_67, n10, simplifying with (19),
% 260.53/66.33 | (52) gives:
% 260.53/66.33 | (53) all_4_67 = n0
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (20) with all_4_70, all_4_67, n10, simplifying with
% 260.53/66.33 | (51), (52) gives:
% 260.53/66.33 | (54) all_4_67 = all_4_70
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (43) with n9, all_4_68, n10, simplifying with (36),
% 260.53/66.33 | (49) gives:
% 260.53/66.33 | (55) all_4_68 = n9
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (43) with all_4_71, all_4_68, n10, simplifying with
% 260.53/66.33 | (49), (50) gives:
% 260.53/66.33 | (56) all_4_68 = all_4_71
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (53), (54) imply:
% 260.53/66.33 | (57) all_4_70 = n0
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (55), (56) imply:
% 260.53/66.33 | (58) all_4_71 = n9
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (32), (53), (55) imply:
% 260.53/66.33 | (59) sum(n9, n0) = all_4_66
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (39), (55), (57) imply:
% 260.53/66.33 | (60) sum(n9, n0) = all_4_64
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (29), (53), (58) imply:
% 260.53/66.33 | (61) sum(n9, n0) = all_4_65
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (7), (57), (58) imply:
% 260.53/66.33 | (62) sum(n9, n0) = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with n9, all_4_65, n0, n9, simplifying with
% 260.53/66.33 | (3), (61) gives:
% 260.53/66.33 | (63) all_4_65 = n9
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_66, all_4_65, n0, n9, simplifying
% 260.53/66.33 | with (59), (61) gives:
% 260.53/66.33 | (64) all_4_65 = all_4_66
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_66, all_4_64, n0, n9, simplifying
% 260.53/66.33 | with (59), (60) gives:
% 260.53/66.33 | (65) all_4_64 = all_4_66
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_69, all_4_64, n0, n9, simplifying
% 260.53/66.33 | with (60), (62) gives:
% 260.53/66.33 | (66) all_4_64 = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (65), (66) imply:
% 260.53/66.33 | (67) all_4_66 = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (67) implies:
% 260.53/66.33 | (68) all_4_66 = all_4_69
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (63), (64) imply:
% 260.53/66.33 | (69) all_4_66 = n9
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (69) implies:
% 260.53/66.33 | (70) all_4_66 = n9
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (68), (70) imply:
% 260.53/66.33 | (71) all_4_69 = n9
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (66), (71) imply:
% 260.53/66.33 | (72) all_4_64 = n9
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (18), (63), (72) imply:
% 260.53/66.33 | (73) sum(n9, n9) = all_4_96
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (37), (70), (71) imply:
% 260.53/66.33 | (74) sum(n9, n9) = all_4_97
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with n7, all_4_96, n9, n9, simplifying with
% 260.53/66.33 | (35), (73) gives:
% 260.53/66.33 | (75) all_4_96 = n7
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_97, all_4_96, n9, n9, simplifying
% 260.53/66.33 | with (73), (74) gives:
% 260.53/66.33 | (76) all_4_96 = all_4_97
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (75), (76) imply:
% 260.53/66.33 | (77) all_4_97 = n7
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (77) implies:
% 260.53/66.33 | (78) all_4_97 = n7
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (24), (75) imply:
% 260.53/66.33 | (79) pred(n7) = all_4_60
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (21), (78) imply:
% 260.53/66.33 | (80) pred(n7) = all_4_63
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (25), (75) imply:
% 260.53/66.33 | (81) succ(n7) = all_4_62
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (40), (78) imply:
% 260.53/66.33 | (82) succ(n7) = all_4_59
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (20) with n8, all_4_59, n7, simplifying with (28),
% 260.53/66.33 | (82) gives:
% 260.53/66.33 | (83) all_4_59 = n8
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (20) with all_4_62, all_4_59, n7, simplifying with
% 260.53/66.33 | (81), (82) gives:
% 260.53/66.33 | (84) all_4_59 = all_4_62
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (43) with n6, all_4_60, n7, simplifying with (27),
% 260.53/66.33 | (79) gives:
% 260.53/66.33 | (85) all_4_60 = n6
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (43) with all_4_63, all_4_60, n7, simplifying with
% 260.53/66.33 | (79), (80) gives:
% 260.53/66.33 | (86) all_4_60 = all_4_63
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (83), (84) imply:
% 260.53/66.33 | (87) all_4_62 = n8
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (85), (86) imply:
% 260.53/66.33 | (88) all_4_63 = n6
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (30), (83), (85) imply:
% 260.53/66.33 | (89) sum(n6, n8) = all_4_58
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (6), (85), (87) imply:
% 260.53/66.33 | (90) sum(n6, n8) = all_4_56
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (9), (83), (88) imply:
% 260.53/66.33 | (91) sum(n6, n8) = all_4_57
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (10), (87), (88) imply:
% 260.53/66.33 | (92) sum(n6, n8) = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with n3, all_4_57, n8, n6, simplifying with
% 260.53/66.33 | (14), (91) gives:
% 260.53/66.33 | (93) all_4_57 = n3
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_58, all_4_57, n8, n6, simplifying
% 260.53/66.33 | with (89), (91) gives:
% 260.53/66.33 | (94) all_4_57 = all_4_58
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_57, all_4_56, n8, n6, simplifying
% 260.53/66.33 | with (90), (91) gives:
% 260.53/66.33 | (95) all_4_56 = all_4_57
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_61, all_4_56, n8, n6, simplifying
% 260.53/66.33 | with (90), (92) gives:
% 260.53/66.33 | (96) all_4_56 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (95), (96) imply:
% 260.53/66.33 | (97) all_4_57 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | SIMP: (97) implies:
% 260.53/66.33 | (98) all_4_57 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (93), (94) imply:
% 260.53/66.33 | (99) all_4_58 = n3
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (94), (98) imply:
% 260.53/66.33 | (100) all_4_58 = all_4_61
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.33 | (101) all_4_61 = n3
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (96), (101) imply:
% 260.53/66.33 | (102) all_4_56 = n3
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (15), (93), (102) imply:
% 260.53/66.33 | (103) sum(n3, n3) = all_4_94
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (41), (99), (101) imply:
% 260.53/66.33 | (104) sum(n3, n3) = all_4_95
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with n6, all_4_94, n3, n3, simplifying with
% 260.53/66.33 | (5), (103) gives:
% 260.53/66.33 | (105) all_4_94 = n6
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (34) with all_4_95, all_4_94, n3, n3, simplifying
% 260.53/66.33 | with (103), (104) gives:
% 260.53/66.33 | (106) all_4_94 = all_4_95
% 260.53/66.33 |
% 260.53/66.33 | COMBINE_EQS: (105), (106) imply:
% 260.53/66.33 | (107) all_4_95 = n6
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (48), (105) imply:
% 260.53/66.33 | (108) pred(n6) = all_4_52
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (2), (107) imply:
% 260.53/66.33 | (109) pred(n6) = all_4_55
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (12), (105) imply:
% 260.53/66.33 | (110) succ(n6) = all_4_54
% 260.53/66.33 |
% 260.53/66.33 | REDUCE: (1), (107) imply:
% 260.53/66.33 | (111) succ(n6) = all_4_51
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (20) with n7, all_4_51, n6, simplifying with (33),
% 260.53/66.33 | (111) gives:
% 260.53/66.33 | (112) all_4_51 = n7
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (20) with all_4_54, all_4_51, n6, simplifying with
% 260.53/66.33 | (110), (111) gives:
% 260.53/66.33 | (113) all_4_51 = all_4_54
% 260.53/66.33 |
% 260.53/66.33 | GROUND_INST: instantiating (43) with n5, all_4_52, n6, simplifying with (23),
% 260.53/66.33 | (108) gives:
% 260.53/66.33 | (114) all_4_52 = n5
% 260.53/66.33 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with all_4_55, all_4_52, n6, simplifying with
% 260.53/66.34 | (108), (109) gives:
% 260.53/66.34 | (115) all_4_52 = all_4_55
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (112), (113) imply:
% 260.53/66.34 | (116) all_4_54 = n7
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (114), (115) imply:
% 260.53/66.34 | (117) all_4_55 = n5
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (117) implies:
% 260.53/66.34 | (118) all_4_55 = n5
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (45), (112), (114) imply:
% 260.53/66.34 | (119) sum(n5, n7) = all_4_50
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (4), (114), (116) imply:
% 260.53/66.34 | (120) sum(n5, n7) = all_4_48
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (26), (112), (118) imply:
% 260.53/66.34 | (121) sum(n5, n7) = all_4_49
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (8), (116), (118) imply:
% 260.53/66.34 | (122) sum(n5, n7) = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (34) with n1, all_4_49, n7, n5, simplifying with
% 260.53/66.34 | (17), (121) gives:
% 260.53/66.34 | (123) all_4_49 = n1
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (34) with all_4_50, all_4_49, n7, n5, simplifying
% 260.53/66.34 | with (119), (121) gives:
% 260.53/66.34 | (124) all_4_49 = all_4_50
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (34) with all_4_49, all_4_48, n7, n5, simplifying
% 260.53/66.34 | with (120), (121) gives:
% 260.53/66.34 | (125) all_4_48 = all_4_49
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (34) with all_4_53, all_4_48, n7, n5, simplifying
% 260.53/66.34 | with (120), (122) gives:
% 260.53/66.34 | (126) all_4_48 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (125), (126) imply:
% 260.53/66.34 | (127) all_4_49 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (127) implies:
% 260.53/66.34 | (128) all_4_49 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (123), (124) imply:
% 260.53/66.34 | (129) all_4_50 = n1
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (124), (128) imply:
% 260.53/66.34 | (130) all_4_50 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (129), (130) imply:
% 260.53/66.34 | (131) all_4_53 = n1
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (126), (131) imply:
% 260.53/66.34 | (132) all_4_48 = n1
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (42), (123), (132) imply:
% 260.53/66.34 | (133) sum(n1, n1) = all_4_92
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (46), (129), (131) imply:
% 260.53/66.34 | (134) sum(n1, n1) = all_4_93
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (34) with n2, all_4_93, n1, n1, simplifying with
% 260.53/66.34 | (44), (134) gives:
% 260.53/66.34 | (135) all_4_93 = n2
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (34) with n2, all_4_92, n1, n1, simplifying with
% 260.53/66.34 | (44), (133) gives:
% 260.53/66.34 | (136) all_4_92 = n2
% 260.53/66.34 |
% 260.53/66.34 | REF_CLOSE: (11), (16), (31), (75), (78), (105), (107), (135), (136) are
% 260.53/66.34 | inconsistent by sub-proof #126.
% 260.53/66.34 |
% 260.53/66.34 End of proof
% 260.53/66.34
% 260.53/66.34 Sub-proof #17 shows that the following formulas are inconsistent:
% 260.53/66.34 ----------------------------------------------------------------
% 260.53/66.34 (1) succ(all_4_95) = all_4_51
% 260.53/66.34 (2) succ(all_4_92) = all_4_46
% 260.53/66.34 (3) pred(all_4_95) = all_4_55
% 260.53/66.34 (4) sum(all_4_44, all_4_46) = all_4_40
% 260.53/66.34 (5) sum(n9, n0) = n9
% 260.53/66.34 (6) ~ (all_4_90 = all_4_91)
% 260.53/66.34 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.34 (8) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.34 (9) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.34 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.34 (11) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.34 (12) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.34 (13) succ(all_4_94) = all_4_54
% 260.53/66.34 (14) pred(n8) = n7
% 260.53/66.34 (15) pred(all_4_99) = all_4_71
% 260.53/66.34 (16) all_4_98 = n6
% 260.53/66.34 (17) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.34 (18) sum(all_4_47, all_4_43) = all_4_41
% 260.53/66.34 (19) pred(all_4_92) = all_4_44
% 260.53/66.34 (20) sum(n5, n7) = n1
% 260.53/66.34 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.34 (22) succ(n10) = n0
% 260.53/66.34 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.34 | ~ (succ(v2) = v0))
% 260.53/66.34 (24) pred(all_4_97) = all_4_63
% 260.53/66.34 (25) succ(all_4_99) = all_4_67
% 260.53/66.34 (26) pred(n6) = n5
% 260.53/66.34 (27) pred(all_4_96) = all_4_60
% 260.53/66.34 (28) succ(all_4_96) = all_4_62
% 260.53/66.34 (29) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.34 (30) sum(all_4_47, all_4_46) = all_4_45
% 260.53/66.34 (31) pred(all_4_93) = all_4_47
% 260.53/66.34 (32) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.34 (33) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.34 (34) sum(n5, n5) = n10
% 260.53/66.34 (35) sum(all_4_41, all_4_40) = all_4_90
% 260.53/66.34 (36) succ(n2) = n3
% 260.53/66.34 (37) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.34 (38) succ(n6) = n7
% 260.53/66.34 (39) succ(n8) = n9
% 260.53/66.34 (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.34 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.34 (41) sum(all_4_45, all_4_42) = all_4_91
% 260.53/66.34 (42) sum(n9, n9) = n7
% 260.53/66.34 (43) sum(all_4_44, all_4_43) = all_4_42
% 260.53/66.34 (44) pred(n10) = n9
% 260.53/66.34 (45) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.34 (46) sum(n7, n9) = n5
% 260.53/66.34 (47) pred(n2) = n1
% 260.53/66.34 (48) succ(all_4_98) = all_4_70
% 260.53/66.34 (49) sum(n4, n4) = n8
% 260.53/66.34 (50) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.34 (51) succ(all_4_97) = all_4_59
% 260.53/66.34 (52) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.34 (53) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.34 (54) all_4_99 = n6
% 260.53/66.34 (55) sum(n1, n3) = n4
% 260.53/66.34 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.34 | ~ (pred(v2) = v0))
% 260.53/66.34 (57) sum(n1, n1) = n2
% 260.53/66.34 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.34 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.34 (60) succ(all_4_93) = all_4_43
% 260.53/66.34 (61) pred(all_4_98) = all_4_68
% 260.53/66.34 (62) pred(all_4_94) = all_4_52
% 260.53/66.34
% 260.53/66.34 Begin of proof
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (16), (61) imply:
% 260.53/66.34 | (63) pred(n6) = all_4_68
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (15), (54) imply:
% 260.53/66.34 | (64) pred(n6) = all_4_71
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (16), (48) imply:
% 260.53/66.34 | (65) succ(n6) = all_4_70
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (25), (54) imply:
% 260.53/66.34 | (66) succ(n6) = all_4_67
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with n7, all_4_67, n6, simplifying with (38),
% 260.53/66.34 | (66) gives:
% 260.53/66.34 | (67) all_4_67 = n7
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n6, simplifying with
% 260.53/66.34 | (65), (66) gives:
% 260.53/66.34 | (68) all_4_67 = all_4_70
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with n5, all_4_68, n6, simplifying with (26),
% 260.53/66.34 | (63) gives:
% 260.53/66.34 | (69) all_4_68 = n5
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with all_4_71, all_4_68, n6, simplifying with
% 260.53/66.34 | (63), (64) gives:
% 260.53/66.34 | (70) all_4_68 = all_4_71
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (67), (68) imply:
% 260.53/66.34 | (71) all_4_70 = n7
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (69), (70) imply:
% 260.53/66.34 | (72) all_4_71 = n5
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (37), (67), (69) imply:
% 260.53/66.34 | (73) sum(n5, n7) = all_4_66
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (50), (69), (71) imply:
% 260.53/66.34 | (74) sum(n5, n7) = all_4_64
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (32), (67), (72) imply:
% 260.53/66.34 | (75) sum(n5, n7) = all_4_65
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (9), (71), (72) imply:
% 260.53/66.34 | (76) sum(n5, n7) = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with n1, all_4_65, n7, n5, simplifying with
% 260.53/66.34 | (20), (75) gives:
% 260.53/66.34 | (77) all_4_65 = n1
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_66, all_4_65, n7, n5, simplifying
% 260.53/66.34 | with (73), (75) gives:
% 260.53/66.34 | (78) all_4_65 = all_4_66
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_66, all_4_64, n7, n5, simplifying
% 260.53/66.34 | with (73), (74) gives:
% 260.53/66.34 | (79) all_4_64 = all_4_66
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_69, all_4_64, n7, n5, simplifying
% 260.53/66.34 | with (74), (76) gives:
% 260.53/66.34 | (80) all_4_64 = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (79), (80) imply:
% 260.53/66.34 | (81) all_4_66 = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (81) implies:
% 260.53/66.34 | (82) all_4_66 = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (77), (78) imply:
% 260.53/66.34 | (83) all_4_66 = n1
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (83) implies:
% 260.53/66.34 | (84) all_4_66 = n1
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (82), (84) imply:
% 260.53/66.34 | (85) all_4_69 = n1
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (80), (85) imply:
% 260.53/66.34 | (86) all_4_64 = n1
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (21), (77), (86) imply:
% 260.53/66.34 | (87) sum(n1, n1) = all_4_96
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (45), (84), (85) imply:
% 260.53/66.34 | (88) sum(n1, n1) = all_4_97
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with n2, all_4_96, n1, n1, simplifying with
% 260.53/66.34 | (57), (87) gives:
% 260.53/66.34 | (89) all_4_96 = n2
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_97, all_4_96, n1, n1, simplifying
% 260.53/66.34 | with (87), (88) gives:
% 260.53/66.34 | (90) all_4_96 = all_4_97
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (89), (90) imply:
% 260.53/66.34 | (91) all_4_97 = n2
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (91) implies:
% 260.53/66.34 | (92) all_4_97 = n2
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (27), (89) imply:
% 260.53/66.34 | (93) pred(n2) = all_4_60
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (24), (92) imply:
% 260.53/66.34 | (94) pred(n2) = all_4_63
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (28), (89) imply:
% 260.53/66.34 | (95) succ(n2) = all_4_62
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (51), (92) imply:
% 260.53/66.34 | (96) succ(n2) = all_4_59
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with n3, all_4_59, n2, simplifying with (36),
% 260.53/66.34 | (96) gives:
% 260.53/66.34 | (97) all_4_59 = n3
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n2, simplifying with
% 260.53/66.34 | (95), (96) gives:
% 260.53/66.34 | (98) all_4_59 = all_4_62
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with n1, all_4_60, n2, simplifying with (47),
% 260.53/66.34 | (93) gives:
% 260.53/66.34 | (99) all_4_60 = n1
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with all_4_63, all_4_60, n2, simplifying with
% 260.53/66.34 | (93), (94) gives:
% 260.53/66.34 | (100) all_4_60 = all_4_63
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (97), (98) imply:
% 260.53/66.34 | (101) all_4_62 = n3
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.34 | (102) all_4_63 = n1
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (33), (97), (99) imply:
% 260.53/66.34 | (103) sum(n1, n3) = all_4_58
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (8), (99), (101) imply:
% 260.53/66.34 | (104) sum(n1, n3) = all_4_56
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (11), (97), (102) imply:
% 260.53/66.34 | (105) sum(n1, n3) = all_4_57
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (12), (101), (102) imply:
% 260.53/66.34 | (106) sum(n1, n3) = all_4_61
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with n4, all_4_57, n3, n1, simplifying with
% 260.53/66.34 | (55), (105) gives:
% 260.53/66.34 | (107) all_4_57 = n4
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_58, all_4_57, n3, n1, simplifying
% 260.53/66.34 | with (103), (105) gives:
% 260.53/66.34 | (108) all_4_57 = all_4_58
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_57, all_4_56, n3, n1, simplifying
% 260.53/66.34 | with (104), (105) gives:
% 260.53/66.34 | (109) all_4_56 = all_4_57
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_61, all_4_56, n3, n1, simplifying
% 260.53/66.34 | with (104), (106) gives:
% 260.53/66.34 | (110) all_4_56 = all_4_61
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (109), (110) imply:
% 260.53/66.34 | (111) all_4_57 = all_4_61
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (111) implies:
% 260.53/66.34 | (112) all_4_57 = all_4_61
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (107), (108) imply:
% 260.53/66.34 | (113) all_4_58 = n4
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (108), (112) imply:
% 260.53/66.34 | (114) all_4_58 = all_4_61
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (113), (114) imply:
% 260.53/66.34 | (115) all_4_61 = n4
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (110), (115) imply:
% 260.53/66.34 | (116) all_4_56 = n4
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (17), (107), (116) imply:
% 260.53/66.34 | (117) sum(n4, n4) = all_4_94
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (52), (113), (115) imply:
% 260.53/66.34 | (118) sum(n4, n4) = all_4_95
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with n8, all_4_94, n4, n4, simplifying with
% 260.53/66.34 | (49), (117) gives:
% 260.53/66.34 | (119) all_4_94 = n8
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_95, all_4_94, n4, n4, simplifying
% 260.53/66.34 | with (117), (118) gives:
% 260.53/66.34 | (120) all_4_94 = all_4_95
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (119), (120) imply:
% 260.53/66.34 | (121) all_4_95 = n8
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (62), (119) imply:
% 260.53/66.34 | (122) pred(n8) = all_4_52
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (3), (121) imply:
% 260.53/66.34 | (123) pred(n8) = all_4_55
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (13), (119) imply:
% 260.53/66.34 | (124) succ(n8) = all_4_54
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (1), (121) imply:
% 260.53/66.34 | (125) succ(n8) = all_4_51
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with n9, all_4_51, n8, simplifying with (39),
% 260.53/66.34 | (125) gives:
% 260.53/66.34 | (126) all_4_51 = n9
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with all_4_54, all_4_51, n8, simplifying with
% 260.53/66.34 | (124), (125) gives:
% 260.53/66.34 | (127) all_4_51 = all_4_54
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with n7, all_4_52, n8, simplifying with (14),
% 260.53/66.34 | (122) gives:
% 260.53/66.34 | (128) all_4_52 = n7
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with all_4_55, all_4_52, n8, simplifying with
% 260.53/66.34 | (122), (123) gives:
% 260.53/66.34 | (129) all_4_52 = all_4_55
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (126), (127) imply:
% 260.53/66.34 | (130) all_4_54 = n9
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (128), (129) imply:
% 260.53/66.34 | (131) all_4_55 = n7
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (131) implies:
% 260.53/66.34 | (132) all_4_55 = n7
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (58), (126), (128) imply:
% 260.53/66.34 | (133) sum(n7, n9) = all_4_50
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (7), (128), (130) imply:
% 260.53/66.34 | (134) sum(n7, n9) = all_4_48
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (29), (126), (132) imply:
% 260.53/66.34 | (135) sum(n7, n9) = all_4_49
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (10), (130), (132) imply:
% 260.53/66.34 | (136) sum(n7, n9) = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with n5, all_4_49, n9, n7, simplifying with
% 260.53/66.34 | (46), (135) gives:
% 260.53/66.34 | (137) all_4_49 = n5
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_50, all_4_49, n9, n7, simplifying
% 260.53/66.34 | with (133), (135) gives:
% 260.53/66.34 | (138) all_4_49 = all_4_50
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_49, all_4_48, n9, n7, simplifying
% 260.53/66.34 | with (134), (135) gives:
% 260.53/66.34 | (139) all_4_48 = all_4_49
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_53, all_4_48, n9, n7, simplifying
% 260.53/66.34 | with (134), (136) gives:
% 260.53/66.34 | (140) all_4_48 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (139), (140) imply:
% 260.53/66.34 | (141) all_4_49 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (141) implies:
% 260.53/66.34 | (142) all_4_49 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (137), (138) imply:
% 260.53/66.34 | (143) all_4_50 = n5
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (138), (142) imply:
% 260.53/66.34 | (144) all_4_50 = all_4_53
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (143), (144) imply:
% 260.53/66.34 | (145) all_4_53 = n5
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (140), (145) imply:
% 260.53/66.34 | (146) all_4_48 = n5
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (53), (137), (146) imply:
% 260.53/66.34 | (147) sum(n5, n5) = all_4_92
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (59), (143), (145) imply:
% 260.53/66.34 | (148) sum(n5, n5) = all_4_93
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with n10, all_4_92, n5, n5, simplifying with
% 260.53/66.34 | (34), (147) gives:
% 260.53/66.34 | (149) all_4_92 = n10
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (40) with all_4_93, all_4_92, n5, n5, simplifying
% 260.53/66.34 | with (147), (148) gives:
% 260.53/66.34 | (150) all_4_92 = all_4_93
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (149), (150) imply:
% 260.53/66.34 | (151) all_4_93 = n10
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (151) implies:
% 260.53/66.34 | (152) all_4_93 = n10
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (19), (149) imply:
% 260.53/66.34 | (153) pred(n10) = all_4_44
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (31), (152) imply:
% 260.53/66.34 | (154) pred(n10) = all_4_47
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (2), (149) imply:
% 260.53/66.34 | (155) succ(n10) = all_4_46
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (60), (152) imply:
% 260.53/66.34 | (156) succ(n10) = all_4_43
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (23) with n0, all_4_43, n10, simplifying with (22),
% 260.53/66.34 | (156) gives:
% 260.53/66.34 | (157) all_4_43 = n0
% 260.53/66.34 |
% 260.53/66.34 | REF_CLOSE: (4), (5), (6), (18), (23), (30), (35), (40), (41), (42), (43),
% 260.53/66.34 | (44), (56), (153), (154), (155), (156), (157) are inconsistent by
% 260.53/66.34 | sub-proof #124.
% 260.53/66.34 |
% 260.53/66.34 End of proof
% 260.53/66.34
% 260.53/66.34 Sub-proof #18 shows that the following formulas are inconsistent:
% 260.53/66.34 ----------------------------------------------------------------
% 260.53/66.34 (1) succ(all_4_95) = all_4_51
% 260.53/66.34 (2) succ(all_4_92) = all_4_46
% 260.53/66.34 (3) pred(all_4_95) = all_4_55
% 260.53/66.34 (4) sum(all_4_44, all_4_46) = all_4_40
% 260.53/66.34 (5) sum(n9, n0) = n9
% 260.53/66.34 (6) ~ (all_4_90 = all_4_91)
% 260.53/66.34 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.34 (8) sum(n3, n3) = n6
% 260.53/66.34 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.34 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.34 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.34 (12) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.34 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.34 (14) succ(all_4_94) = all_4_54
% 260.53/66.34 (15) pred(n8) = n7
% 260.53/66.34 (16) pred(all_4_99) = all_4_71
% 260.53/66.34 (17) sum(n6, n8) = n3
% 260.53/66.34 (18) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.34 (19) sum(all_4_47, all_4_43) = all_4_41
% 260.53/66.34 (20) pred(all_4_92) = all_4_44
% 260.53/66.34 (21) sum(n5, n7) = n1
% 260.53/66.34 (22) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.34 (23) succ(n10) = n0
% 260.53/66.34 (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.34 | ~ (succ(v2) = v0))
% 260.53/66.34 (25) pred(all_4_97) = all_4_63
% 260.53/66.34 (26) succ(all_4_99) = all_4_67
% 260.53/66.34 (27) pred(n6) = n5
% 260.53/66.34 (28) pred(all_4_96) = all_4_60
% 260.53/66.34 (29) succ(all_4_96) = all_4_62
% 260.53/66.34 (30) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.34 (31) pred(n7) = n6
% 260.53/66.34 (32) succ(n7) = n8
% 260.53/66.34 (33) sum(all_4_47, all_4_46) = all_4_45
% 260.53/66.34 (34) pred(all_4_93) = all_4_47
% 260.53/66.34 (35) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.34 (36) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.34 (37) sum(n5, n5) = n10
% 260.53/66.34 (38) all_4_99 = n8
% 260.53/66.34 (39) sum(all_4_41, all_4_40) = all_4_90
% 260.53/66.34 (40) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.34 (41) succ(n6) = n7
% 260.53/66.34 (42) succ(n8) = n9
% 260.53/66.34 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.34 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.34 (44) sum(all_4_45, all_4_42) = all_4_91
% 260.53/66.34 (45) sum(n9, n9) = n7
% 260.53/66.34 (46) sum(all_4_44, all_4_43) = all_4_42
% 260.53/66.34 (47) pred(n10) = n9
% 260.53/66.34 (48) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.34 (49) sum(n7, n9) = n5
% 260.53/66.34 (50) succ(all_4_98) = all_4_70
% 260.53/66.34 (51) all_4_98 = n8
% 260.53/66.34 (52) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.34 (53) succ(all_4_97) = all_4_59
% 260.53/66.34 (54) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.34 (55) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.34 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.34 | ~ (pred(v2) = v0))
% 260.53/66.34 (57) sum(n1, n1) = n2
% 260.53/66.34 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.34 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.34 (60) succ(all_4_93) = all_4_43
% 260.53/66.34 (61) pred(all_4_98) = all_4_68
% 260.53/66.34 (62) pred(all_4_94) = all_4_52
% 260.53/66.34
% 260.53/66.34 Begin of proof
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (51), (61) imply:
% 260.53/66.34 | (63) pred(n8) = all_4_68
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (16), (38) imply:
% 260.53/66.34 | (64) pred(n8) = all_4_71
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (50), (51) imply:
% 260.53/66.34 | (65) succ(n8) = all_4_70
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (26), (38) imply:
% 260.53/66.34 | (66) succ(n8) = all_4_67
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (24) with n9, all_4_67, n8, simplifying with (42),
% 260.53/66.34 | (66) gives:
% 260.53/66.34 | (67) all_4_67 = n9
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (24) with all_4_70, all_4_67, n8, simplifying with
% 260.53/66.34 | (65), (66) gives:
% 260.53/66.34 | (68) all_4_67 = all_4_70
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with n7, all_4_68, n8, simplifying with (15),
% 260.53/66.34 | (63) gives:
% 260.53/66.34 | (69) all_4_68 = n7
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with all_4_71, all_4_68, n8, simplifying with
% 260.53/66.34 | (63), (64) gives:
% 260.53/66.34 | (70) all_4_68 = all_4_71
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (67), (68) imply:
% 260.53/66.34 | (71) all_4_70 = n9
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (69), (70) imply:
% 260.53/66.34 | (72) all_4_71 = n7
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (40), (67), (69) imply:
% 260.53/66.34 | (73) sum(n7, n9) = all_4_66
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (52), (69), (71) imply:
% 260.53/66.34 | (74) sum(n7, n9) = all_4_64
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (35), (67), (72) imply:
% 260.53/66.34 | (75) sum(n7, n9) = all_4_65
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (10), (71), (72) imply:
% 260.53/66.34 | (76) sum(n7, n9) = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with n5, all_4_65, n9, n7, simplifying with
% 260.53/66.34 | (49), (75) gives:
% 260.53/66.34 | (77) all_4_65 = n5
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with all_4_66, all_4_65, n9, n7, simplifying
% 260.53/66.34 | with (73), (75) gives:
% 260.53/66.34 | (78) all_4_65 = all_4_66
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with all_4_66, all_4_64, n9, n7, simplifying
% 260.53/66.34 | with (73), (74) gives:
% 260.53/66.34 | (79) all_4_64 = all_4_66
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with all_4_69, all_4_64, n9, n7, simplifying
% 260.53/66.34 | with (74), (76) gives:
% 260.53/66.34 | (80) all_4_64 = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (79), (80) imply:
% 260.53/66.34 | (81) all_4_66 = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (81) implies:
% 260.53/66.34 | (82) all_4_66 = all_4_69
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (77), (78) imply:
% 260.53/66.34 | (83) all_4_66 = n5
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (83) implies:
% 260.53/66.34 | (84) all_4_66 = n5
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (82), (84) imply:
% 260.53/66.34 | (85) all_4_69 = n5
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (80), (85) imply:
% 260.53/66.34 | (86) all_4_64 = n5
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (22), (77), (86) imply:
% 260.53/66.34 | (87) sum(n5, n5) = all_4_96
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (48), (84), (85) imply:
% 260.53/66.34 | (88) sum(n5, n5) = all_4_97
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with n10, all_4_96, n5, n5, simplifying with
% 260.53/66.34 | (37), (87) gives:
% 260.53/66.34 | (89) all_4_96 = n10
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with all_4_97, all_4_96, n5, n5, simplifying
% 260.53/66.34 | with (87), (88) gives:
% 260.53/66.34 | (90) all_4_96 = all_4_97
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (89), (90) imply:
% 260.53/66.34 | (91) all_4_97 = n10
% 260.53/66.34 |
% 260.53/66.34 | SIMP: (91) implies:
% 260.53/66.34 | (92) all_4_97 = n10
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (28), (89) imply:
% 260.53/66.34 | (93) pred(n10) = all_4_60
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (25), (92) imply:
% 260.53/66.34 | (94) pred(n10) = all_4_63
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (29), (89) imply:
% 260.53/66.34 | (95) succ(n10) = all_4_62
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (53), (92) imply:
% 260.53/66.34 | (96) succ(n10) = all_4_59
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (24) with n0, all_4_59, n10, simplifying with (23),
% 260.53/66.34 | (96) gives:
% 260.53/66.34 | (97) all_4_59 = n0
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (24) with all_4_62, all_4_59, n10, simplifying with
% 260.53/66.34 | (95), (96) gives:
% 260.53/66.34 | (98) all_4_59 = all_4_62
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with n9, all_4_60, n10, simplifying with (47),
% 260.53/66.34 | (93) gives:
% 260.53/66.34 | (99) all_4_60 = n9
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (56) with all_4_63, all_4_60, n10, simplifying with
% 260.53/66.34 | (93), (94) gives:
% 260.53/66.34 | (100) all_4_60 = all_4_63
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (97), (98) imply:
% 260.53/66.34 | (101) all_4_62 = n0
% 260.53/66.34 |
% 260.53/66.34 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.34 | (102) all_4_63 = n9
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (36), (97), (99) imply:
% 260.53/66.34 | (103) sum(n9, n0) = all_4_58
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (9), (99), (101) imply:
% 260.53/66.34 | (104) sum(n9, n0) = all_4_56
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (12), (97), (102) imply:
% 260.53/66.34 | (105) sum(n9, n0) = all_4_57
% 260.53/66.34 |
% 260.53/66.34 | REDUCE: (13), (101), (102) imply:
% 260.53/66.34 | (106) sum(n9, n0) = all_4_61
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with n9, all_4_57, n0, n9, simplifying with
% 260.53/66.34 | (5), (105) gives:
% 260.53/66.34 | (107) all_4_57 = n9
% 260.53/66.34 |
% 260.53/66.34 | GROUND_INST: instantiating (43) with all_4_58, all_4_57, n0, n9, simplifying
% 260.53/66.34 | with (103), (105) gives:
% 260.53/66.34 | (108) all_4_57 = all_4_58
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_57, all_4_56, n0, n9, simplifying
% 260.53/66.35 | with (104), (105) gives:
% 260.53/66.35 | (109) all_4_56 = all_4_57
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_61, all_4_56, n0, n9, simplifying
% 260.53/66.35 | with (104), (106) gives:
% 260.53/66.35 | (110) all_4_56 = all_4_61
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (109), (110) imply:
% 260.53/66.35 | (111) all_4_57 = all_4_61
% 260.53/66.35 |
% 260.53/66.35 | SIMP: (111) implies:
% 260.53/66.35 | (112) all_4_57 = all_4_61
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (107), (108) imply:
% 260.53/66.35 | (113) all_4_58 = n9
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (108), (112) imply:
% 260.53/66.35 | (114) all_4_58 = all_4_61
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (113), (114) imply:
% 260.53/66.35 | (115) all_4_61 = n9
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (110), (115) imply:
% 260.53/66.35 | (116) all_4_56 = n9
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (18), (107), (116) imply:
% 260.53/66.35 | (117) sum(n9, n9) = all_4_94
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (54), (113), (115) imply:
% 260.53/66.35 | (118) sum(n9, n9) = all_4_95
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with n7, all_4_94, n9, n9, simplifying with
% 260.53/66.35 | (45), (117) gives:
% 260.53/66.35 | (119) all_4_94 = n7
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_95, all_4_94, n9, n9, simplifying
% 260.53/66.35 | with (117), (118) gives:
% 260.53/66.35 | (120) all_4_94 = all_4_95
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (119), (120) imply:
% 260.53/66.35 | (121) all_4_95 = n7
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (62), (119) imply:
% 260.53/66.35 | (122) pred(n7) = all_4_52
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (3), (121) imply:
% 260.53/66.35 | (123) pred(n7) = all_4_55
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (14), (119) imply:
% 260.53/66.35 | (124) succ(n7) = all_4_54
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (1), (121) imply:
% 260.53/66.35 | (125) succ(n7) = all_4_51
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (24) with n8, all_4_51, n7, simplifying with (32),
% 260.53/66.35 | (125) gives:
% 260.53/66.35 | (126) all_4_51 = n8
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (24) with all_4_54, all_4_51, n7, simplifying with
% 260.53/66.35 | (124), (125) gives:
% 260.53/66.35 | (127) all_4_51 = all_4_54
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (56) with n6, all_4_52, n7, simplifying with (31),
% 260.53/66.35 | (122) gives:
% 260.53/66.35 | (128) all_4_52 = n6
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (56) with all_4_55, all_4_52, n7, simplifying with
% 260.53/66.35 | (122), (123) gives:
% 260.53/66.35 | (129) all_4_52 = all_4_55
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (126), (127) imply:
% 260.53/66.35 | (130) all_4_54 = n8
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (128), (129) imply:
% 260.53/66.35 | (131) all_4_55 = n6
% 260.53/66.35 |
% 260.53/66.35 | SIMP: (131) implies:
% 260.53/66.35 | (132) all_4_55 = n6
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (58), (126), (128) imply:
% 260.53/66.35 | (133) sum(n6, n8) = all_4_50
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (7), (128), (130) imply:
% 260.53/66.35 | (134) sum(n6, n8) = all_4_48
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (30), (126), (132) imply:
% 260.53/66.35 | (135) sum(n6, n8) = all_4_49
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (11), (130), (132) imply:
% 260.53/66.35 | (136) sum(n6, n8) = all_4_53
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with n3, all_4_49, n8, n6, simplifying with
% 260.53/66.35 | (17), (135) gives:
% 260.53/66.35 | (137) all_4_49 = n3
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_50, all_4_49, n8, n6, simplifying
% 260.53/66.35 | with (133), (135) gives:
% 260.53/66.35 | (138) all_4_49 = all_4_50
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_49, all_4_48, n8, n6, simplifying
% 260.53/66.35 | with (134), (135) gives:
% 260.53/66.35 | (139) all_4_48 = all_4_49
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_53, all_4_48, n8, n6, simplifying
% 260.53/66.35 | with (134), (136) gives:
% 260.53/66.35 | (140) all_4_48 = all_4_53
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (139), (140) imply:
% 260.53/66.35 | (141) all_4_49 = all_4_53
% 260.53/66.35 |
% 260.53/66.35 | SIMP: (141) implies:
% 260.53/66.35 | (142) all_4_49 = all_4_53
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (137), (138) imply:
% 260.53/66.35 | (143) all_4_50 = n3
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (138), (142) imply:
% 260.53/66.35 | (144) all_4_50 = all_4_53
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (143), (144) imply:
% 260.53/66.35 | (145) all_4_53 = n3
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (140), (145) imply:
% 260.53/66.35 | (146) all_4_48 = n3
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (55), (137), (146) imply:
% 260.53/66.35 | (147) sum(n3, n3) = all_4_92
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (59), (143), (145) imply:
% 260.53/66.35 | (148) sum(n3, n3) = all_4_93
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with n6, all_4_92, n3, n3, simplifying with
% 260.53/66.35 | (8), (147) gives:
% 260.53/66.35 | (149) all_4_92 = n6
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (43) with all_4_93, all_4_92, n3, n3, simplifying
% 260.53/66.35 | with (147), (148) gives:
% 260.53/66.35 | (150) all_4_92 = all_4_93
% 260.53/66.35 |
% 260.53/66.35 | COMBINE_EQS: (149), (150) imply:
% 260.53/66.35 | (151) all_4_93 = n6
% 260.53/66.35 |
% 260.53/66.35 | SIMP: (151) implies:
% 260.53/66.35 | (152) all_4_93 = n6
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (20), (149) imply:
% 260.53/66.35 | (153) pred(n6) = all_4_44
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (34), (152) imply:
% 260.53/66.35 | (154) pred(n6) = all_4_47
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (2), (149) imply:
% 260.53/66.35 | (155) succ(n6) = all_4_46
% 260.53/66.35 |
% 260.53/66.35 | REDUCE: (60), (152) imply:
% 260.53/66.35 | (156) succ(n6) = all_4_43
% 260.53/66.35 |
% 260.53/66.35 | GROUND_INST: instantiating (24) with n7, all_4_43, n6, simplifying with (41),
% 260.53/66.35 | (156) gives:
% 260.53/66.35 | (157) all_4_43 = n7
% 260.53/66.35 |
% 260.53/66.35 | REF_CLOSE: (4), (6), (19), (21), (24), (27), (33), (39), (43), (44), (46),
% 260.53/66.35 | (56), (57), (153), (154), (155), (156), (157) are inconsistent by
% 260.53/66.35 | sub-proof #125.
% 260.53/66.35 |
% 260.53/66.35 End of proof
% 260.53/66.35
% 260.53/66.35 Sub-proof #19 shows that the following formulas are inconsistent:
% 260.53/66.35 ----------------------------------------------------------------
% 260.53/66.35 (1) succ(all_4_95) = all_4_51
% 260.53/66.35 (2) succ(n1) = n2
% 260.53/66.35 (3) sum(n4, n6) = n10
% 260.53/66.35 (4) succ(all_4_92) = all_4_46
% 260.53/66.35 (5) sum(n2, n2) = n4
% 260.53/66.35 (6) pred(all_4_95) = all_4_55
% 260.53/66.35 (7) sum(all_4_44, all_4_46) = all_4_40
% 260.53/66.35 (8) sum(all_4_76, all_4_78) = all_4_72
% 260.53/66.35 (9) succ(n9) = n10
% 260.53/66.35 (10) sum(n9, n0) = n9
% 260.53/66.35 (11) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.35 (12) sum(n3, n3) = n6
% 260.53/66.35 (13) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.35 (14) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.35 (15) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.35 (16) sum(n2, n4) = n6
% 260.53/66.35 (17) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.35 (18) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.35 (19) succ(all_4_94) = all_4_54
% 260.53/66.35 (20) sum(n10, n1) = n0
% 260.53/66.35 (21) sum(n8, n8) = n5
% 260.53/66.35 (22) sum(n4, all_4_78) = all_4_77
% 260.53/66.35 (23) sum(n0, n6) = n6
% 260.53/66.35 (24) pred(n8) = n7
% 260.53/66.35 (25) sum(all_4_76, n6) = all_4_74
% 260.53/66.35 (26) sum(n10, n4) = n3
% 260.53/66.35 (27) pred(all_4_99) = all_4_71
% 260.53/66.35 (28) sum(n6, n8) = n3
% 260.53/66.35 (29) succ(n0) = n1
% 260.53/66.35 (30) sum(n8, n10) = n7
% 260.53/66.35 (31) all_4_100 = n4 | all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 |
% 260.53/66.35 all_4_100 = n0
% 260.53/66.35 (32) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.35 (33) sum(n0, n2) = n2
% 260.53/66.35 (34) sum(n3, n5) = n8
% 260.53/66.35 (35) sum(n10, n10) = n9
% 260.53/66.35 (36) sum(all_4_47, all_4_43) = all_4_41
% 260.53/66.35 (37) pred(n5) = n4
% 260.53/66.35 (38) sum(n4, n2) = n6
% 260.53/66.35 (39) pred(all_4_92) = all_4_44
% 260.53/66.35 (40) sum(n5, n7) = n1
% 260.53/66.35 (41) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.35 (42) succ(n10) = n0
% 260.53/66.35 (43) pred(n4) = n3
% 260.53/66.35 (44) succ(all_4_100) = all_4_78
% 260.53/66.35 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.35 | ~ (succ(v2) = v0))
% 260.53/66.35 (46) pred(all_4_97) = all_4_63
% 260.53/66.35 (47) sum(n10, n6) = n5
% 260.53/66.35 (48) succ(all_4_99) = all_4_67
% 260.53/66.35 (49) pred(n9) = n8
% 260.53/66.35 (50) succ(n3) = n4
% 260.53/66.35 (51) pred(n6) = n5
% 260.53/66.35 (52) pred(all_4_96) = all_4_60
% 260.53/66.35 (53) succ(all_4_96) = all_4_62
% 260.53/66.35 (54) pred(n3) = n2
% 260.53/66.35 (55) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.35 (56) pred(n7) = n6
% 260.53/66.35 (57) succ(n7) = n8
% 260.53/66.35 (58) sum(all_4_47, all_4_46) = all_4_45
% 260.53/66.35 (59) pred(all_4_93) = all_4_47
% 260.53/66.35 (60) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.35 (61) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.35 (62) sum(n10, n0) = n10
% 260.53/66.35 (63) sum(n4, n1) = n5
% 260.53/66.35 (64) sum(n5, n5) = n10
% 260.53/66.35 (65) sum(n4, n5) = n9
% 260.53/66.35 (66) sum(all_4_41, all_4_40) = all_4_90
% 260.53/66.35 (67) succ(n2) = n3
% 260.53/66.35 (68) sum(n10, n8) = n7
% 260.53/66.35 (69) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.35 (70) succ(n6) = n7
% 260.53/66.35 (71) succ(n8) = n9
% 260.53/66.35 (72) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.35 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.35 (73) sum(all_4_45, all_4_42) = all_4_91
% 260.53/66.35 (74) sum(n9, n9) = n7
% 260.53/66.35 (75) sum(n10, all_4_72) = all_4_98
% 260.53/66.35 (76) sum(n3, n6) = n9
% 260.53/66.35 (77) sum(n6, n6) = n1
% 260.53/66.35 (78) sum(all_4_44, all_4_43) = all_4_42
% 260.53/66.35 (79) succ(n5) = n6
% 260.53/66.35 (80) pred(n10) = n9
% 260.53/66.35 (81) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.35 (82) sum(n7, n9) = n5
% 260.53/66.35 (83) succ(n4) = n5
% 260.53/66.35 (84) sum(n1, n6) = n7
% 260.53/66.35 (85) sum(n10, n2) = n1
% 260.53/66.35 (86) pred(n2) = n1
% 260.53/66.35 (87) succ(all_4_98) = all_4_70
% 260.53/66.35 (88) sum(n4, n3) = n7
% 260.53/66.35 (89) sum(n2, n6) = n8
% 260.53/66.35 (90) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.53/66.35 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.35 (91) sum(n4, n4) = n8
% 260.53/66.35 (92) pred(n1) = n0
% 260.53/66.35 (93) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.35 (94) succ(all_4_97) = all_4_59
% 260.53/66.35 (95) sum(all_4_77, all_4_74) = all_4_99
% 260.53/66.35 (96) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.35 (97) sum(n7, n7) = n3
% 260.53/66.35 (98) pred(all_4_100) = all_4_76
% 260.53/66.35 (99) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.35 (100) sum(n1, n3) = n4
% 260.53/66.35 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.35 | ~ (pred(v2) = v0))
% 260.53/66.35 (102) sum(n1, n1) = n2
% 260.53/66.35 (103) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.35 (104) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.35 (105) succ(all_4_93) = all_4_43
% 260.53/66.35 (106) pred(all_4_98) = all_4_68
% 260.53/66.35 (107) pred(n0) = n10
% 260.53/66.35 (108) pred(all_4_94) = all_4_52
% 260.53/66.35
% 260.53/66.35 Begin of proof
% 260.53/66.35 |
% 260.53/66.35 | BETA: splitting (31) gives:
% 260.53/66.35 |
% 260.53/66.35 | Case 1:
% 260.53/66.35 | |
% 260.53/66.35 | | (109) all_4_100 = n4
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (98), (109) imply:
% 260.53/66.35 | | (110) pred(n4) = all_4_76
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (44), (109) imply:
% 260.53/66.35 | | (111) succ(n4) = all_4_78
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (45) with n5, all_4_78, n4, simplifying with
% 260.53/66.35 | | (83), (111) gives:
% 260.53/66.35 | | (112) all_4_78 = n5
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (101) with n3, all_4_76, n4, simplifying with
% 260.53/66.35 | | (43), (110) gives:
% 260.53/66.35 | | (113) all_4_76 = n3
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (8), (112), (113) imply:
% 260.53/66.35 | | (114) sum(n3, n5) = all_4_72
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (25), (113) imply:
% 260.53/66.35 | | (115) sum(n3, n6) = all_4_74
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (22), (112) imply:
% 260.53/66.35 | | (116) sum(n4, n5) = all_4_77
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (72) with n8, all_4_72, n5, n3, simplifying with
% 260.53/66.35 | | (34), (114) gives:
% 260.53/66.35 | | (117) all_4_72 = n8
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (72) with n9, all_4_74, n6, n3, simplifying with
% 260.53/66.35 | | (76), (115) gives:
% 260.53/66.35 | | (118) all_4_74 = n9
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (72) with n9, all_4_77, n5, n4, simplifying with
% 260.53/66.35 | | (65), (116) gives:
% 260.53/66.35 | | (119) all_4_77 = n9
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (95), (118), (119) imply:
% 260.53/66.35 | | (120) sum(n9, n9) = all_4_99
% 260.53/66.35 | |
% 260.53/66.35 | | REDUCE: (75), (117) imply:
% 260.53/66.35 | | (121) sum(n10, n8) = all_4_98
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (72) with n7, all_4_99, n9, n9, simplifying with
% 260.53/66.35 | | (74), (120) gives:
% 260.53/66.35 | | (122) all_4_99 = n7
% 260.53/66.35 | |
% 260.53/66.35 | | GROUND_INST: instantiating (72) with n7, all_4_98, n8, n10, simplifying with
% 260.53/66.35 | | (68), (121) gives:
% 260.53/66.35 | | (123) all_4_98 = n7
% 260.53/66.35 | |
% 260.53/66.35 | | REF_CLOSE: (1), (4), (6), (7), (11), (12), (13), (14), (15), (17), (18),
% 260.53/66.35 | | (19), (24), (27), (28), (32), (36), (39), (40), (41), (45), (46),
% 260.53/66.35 | | (48), (51), (52), (53), (55), (56), (57), (58), (59), (60), (61),
% 260.53/66.35 | | (64), (66), (67), (69), (70), (71), (72), (73), (78), (81), (82),
% 260.53/66.35 | | (86), (87), (90), (91), (93), (94), (96), (99), (100), (101),
% 260.53/66.35 | | (102), (103), (104), (105), (106), (108), (122), (123) are
% 260.53/66.35 | | inconsistent by sub-proof #79.
% 260.53/66.35 | |
% 260.53/66.35 | Case 2:
% 260.53/66.35 | |
% 260.53/66.35 | | (124) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.53/66.35 | |
% 260.53/66.35 | | BETA: splitting (124) gives:
% 260.53/66.35 | |
% 260.53/66.35 | | Case 1:
% 260.53/66.35 | | |
% 260.53/66.35 | | | (125) all_4_100 = n3
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (98), (125) imply:
% 260.53/66.35 | | | (126) pred(n3) = all_4_76
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (44), (125) imply:
% 260.53/66.35 | | | (127) succ(n3) = all_4_78
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (45) with n4, all_4_78, n3, simplifying with
% 260.53/66.35 | | | (50), (127) gives:
% 260.53/66.35 | | | (128) all_4_78 = n4
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (101) with n2, all_4_76, n3, simplifying with
% 260.53/66.35 | | | (54), (126) gives:
% 260.53/66.35 | | | (129) all_4_76 = n2
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (8), (128), (129) imply:
% 260.53/66.35 | | | (130) sum(n2, n4) = all_4_72
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (25), (129) imply:
% 260.53/66.35 | | | (131) sum(n2, n6) = all_4_74
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (22), (128) imply:
% 260.53/66.35 | | | (132) sum(n4, n4) = all_4_77
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (72) with n6, all_4_72, n4, n2, simplifying
% 260.53/66.35 | | | with (16), (130) gives:
% 260.53/66.35 | | | (133) all_4_72 = n6
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (72) with n8, all_4_74, n6, n2, simplifying
% 260.53/66.35 | | | with (89), (131) gives:
% 260.53/66.35 | | | (134) all_4_74 = n8
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (72) with n8, all_4_77, n4, n4, simplifying
% 260.53/66.35 | | | with (91), (132) gives:
% 260.53/66.35 | | | (135) all_4_77 = n8
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (95), (134), (135) imply:
% 260.53/66.35 | | | (136) sum(n8, n8) = all_4_99
% 260.53/66.35 | | |
% 260.53/66.35 | | | REDUCE: (75), (133) imply:
% 260.53/66.35 | | | (137) sum(n10, n6) = all_4_98
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (72) with n5, all_4_99, n8, n8, simplifying
% 260.53/66.35 | | | with (21), (136) gives:
% 260.53/66.35 | | | (138) all_4_99 = n5
% 260.53/66.35 | | |
% 260.53/66.35 | | | GROUND_INST: instantiating (72) with n5, all_4_98, n6, n10, simplifying
% 260.53/66.35 | | | with (47), (137) gives:
% 260.53/66.35 | | | (139) all_4_98 = n5
% 260.53/66.35 | | |
% 260.53/66.35 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (13), (14), (15),
% 260.53/66.35 | | | (16), (17), (18), (19), (27), (30), (32), (33), (35), (36),
% 260.53/66.35 | | | (37), (39), (41), (45), (46), (48), (49), (50), (52), (53),
% 260.53/66.35 | | | (54), (55), (58), (59), (60), (61), (66), (69), (72), (73),
% 260.53/66.35 | | | (77), (78), (79), (81), (87), (90), (92), (93), (94), (96),
% 260.53/66.35 | | | (97), (99), (101), (103), (104), (105), (106), (108), (138),
% 260.53/66.35 | | | (139) are inconsistent by sub-proof #58.
% 260.53/66.35 | | |
% 260.53/66.35 | | Case 2:
% 260.53/66.35 | | |
% 260.53/66.35 | | | (140) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.53/66.35 | | |
% 260.53/66.35 | | | BETA: splitting (140) gives:
% 260.53/66.35 | | |
% 260.53/66.35 | | | Case 1:
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | (141) all_4_100 = n2
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (98), (141) imply:
% 260.53/66.35 | | | | (142) pred(n2) = all_4_76
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (44), (141) imply:
% 260.53/66.35 | | | | (143) succ(n2) = all_4_78
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (45) with n3, all_4_78, n2, simplifying with
% 260.53/66.35 | | | | (67), (143) gives:
% 260.53/66.35 | | | | (144) all_4_78 = n3
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (101) with n1, all_4_76, n2, simplifying with
% 260.53/66.35 | | | | (86), (142) gives:
% 260.53/66.35 | | | | (145) all_4_76 = n1
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (8), (144), (145) imply:
% 260.53/66.35 | | | | (146) sum(n1, n3) = all_4_72
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (25), (145) imply:
% 260.53/66.35 | | | | (147) sum(n1, n6) = all_4_74
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (22), (144) imply:
% 260.53/66.35 | | | | (148) sum(n4, n3) = all_4_77
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (72) with n4, all_4_72, n3, n1, simplifying
% 260.53/66.35 | | | | with (100), (146) gives:
% 260.53/66.35 | | | | (149) all_4_72 = n4
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (72) with n7, all_4_74, n6, n1, simplifying
% 260.53/66.35 | | | | with (84), (147) gives:
% 260.53/66.35 | | | | (150) all_4_74 = n7
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (72) with n7, all_4_77, n3, n4, simplifying
% 260.53/66.35 | | | | with (88), (148) gives:
% 260.53/66.35 | | | | (151) all_4_77 = n7
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (95), (150), (151) imply:
% 260.53/66.35 | | | | (152) sum(n7, n7) = all_4_99
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REDUCE: (75), (149) imply:
% 260.53/66.35 | | | | (153) sum(n10, n4) = all_4_98
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (72) with n3, all_4_99, n7, n7, simplifying
% 260.53/66.35 | | | | with (97), (152) gives:
% 260.53/66.35 | | | | (154) all_4_99 = n3
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | GROUND_INST: instantiating (72) with n3, all_4_98, n4, n10, simplifying
% 260.53/66.35 | | | | with (26), (153) gives:
% 260.53/66.35 | | | | (155) all_4_98 = n3
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (13), (14), (15),
% 260.53/66.35 | | | | (16), (17), (18), (19), (21), (27), (32), (33), (34), (35),
% 260.53/66.35 | | | | (36), (37), (39), (41), (43), (45), (46), (48), (50), (52),
% 260.53/66.35 | | | | (53), (54), (55), (58), (59), (60), (61), (66), (69), (72),
% 260.53/66.35 | | | | (73), (77), (78), (79), (81), (83), (87), (90), (92), (93),
% 260.53/66.35 | | | | (94), (96), (99), (101), (103), (104), (105), (106), (108),
% 260.53/66.35 | | | | (154), (155) are inconsistent by sub-proof #31.
% 260.53/66.35 | | | |
% 260.53/66.35 | | | Case 2:
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | (156) all_4_100 = n1 | all_4_100 = n0
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | BETA: splitting (156) gives:
% 260.53/66.35 | | | |
% 260.53/66.35 | | | | Case 1:
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | (157) all_4_100 = n1
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (98), (157) imply:
% 260.53/66.35 | | | | | (158) pred(n1) = all_4_76
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (44), (157) imply:
% 260.53/66.35 | | | | | (159) succ(n1) = all_4_78
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (45) with n2, all_4_78, n1, simplifying
% 260.53/66.35 | | | | | with (2), (159) gives:
% 260.53/66.35 | | | | | (160) all_4_78 = n2
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (101) with n0, all_4_76, n1, simplifying
% 260.53/66.35 | | | | | with (92), (158) gives:
% 260.53/66.35 | | | | | (161) all_4_76 = n0
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (8), (160), (161) imply:
% 260.53/66.35 | | | | | (162) sum(n0, n2) = all_4_72
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (25), (161) imply:
% 260.53/66.35 | | | | | (163) sum(n0, n6) = all_4_74
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (22), (160) imply:
% 260.53/66.35 | | | | | (164) sum(n4, n2) = all_4_77
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n2, all_4_72, n2, n0, simplifying
% 260.53/66.35 | | | | | with (33), (162) gives:
% 260.53/66.35 | | | | | (165) all_4_72 = n2
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n6, all_4_74, n6, n0, simplifying
% 260.53/66.35 | | | | | with (23), (163) gives:
% 260.53/66.35 | | | | | (166) all_4_74 = n6
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n6, all_4_77, n2, n4, simplifying
% 260.53/66.35 | | | | | with (38), (164) gives:
% 260.53/66.35 | | | | | (167) all_4_77 = n6
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (95), (166), (167) imply:
% 260.53/66.35 | | | | | (168) sum(n6, n6) = all_4_99
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (75), (165) imply:
% 260.53/66.35 | | | | | (169) sum(n10, n2) = all_4_98
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n1, all_4_99, n6, n6, simplifying
% 260.53/66.35 | | | | | with (77), (168) gives:
% 260.53/66.35 | | | | | (170) all_4_99 = n1
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n1, all_4_98, n2, n10,
% 260.53/66.35 | | | | | simplifying with (85), (169) gives:
% 260.53/66.35 | | | | | (171) all_4_98 = n1
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (13), (14),
% 260.53/66.35 | | | | | (15), (17), (18), (19), (21), (27), (30), (32), (33), (34),
% 260.53/66.35 | | | | | (35), (36), (37), (39), (41), (43), (45), (46), (48), (49),
% 260.53/66.35 | | | | | (52), (53), (55), (58), (59), (60), (61), (66), (69), (72),
% 260.53/66.35 | | | | | (73), (78), (79), (81), (83), (87), (90), (92), (93), (94),
% 260.53/66.35 | | | | | (96), (97), (99), (101), (103), (104), (105), (106), (108),
% 260.53/66.35 | | | | | (170), (171) are inconsistent by sub-proof #28.
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | Case 2:
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | (172) all_4_100 = n0
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (98), (172) imply:
% 260.53/66.35 | | | | | (173) pred(n0) = all_4_76
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (44), (172) imply:
% 260.53/66.35 | | | | | (174) succ(n0) = all_4_78
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (45) with n1, all_4_78, n0, simplifying
% 260.53/66.35 | | | | | with (29), (174) gives:
% 260.53/66.35 | | | | | (175) all_4_78 = n1
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (101) with n10, all_4_76, n0, simplifying
% 260.53/66.35 | | | | | with (107), (173) gives:
% 260.53/66.35 | | | | | (176) all_4_76 = n10
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (8), (175), (176) imply:
% 260.53/66.35 | | | | | (177) sum(n10, n1) = all_4_72
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (25), (176) imply:
% 260.53/66.35 | | | | | (178) sum(n10, n6) = all_4_74
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (22), (175) imply:
% 260.53/66.35 | | | | | (179) sum(n4, n1) = all_4_77
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n5, all_4_77, n1, n4, simplifying
% 260.53/66.35 | | | | | with (63), (179) gives:
% 260.53/66.35 | | | | | (180) all_4_77 = n5
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n0, all_4_72, n1, n10,
% 260.53/66.35 | | | | | simplifying with (20), (177) gives:
% 260.53/66.35 | | | | | (181) all_4_72 = n0
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n5, all_4_74, n6, n10,
% 260.53/66.35 | | | | | simplifying with (47), (178) gives:
% 260.53/66.35 | | | | | (182) all_4_74 = n5
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (95), (180), (182) imply:
% 260.53/66.35 | | | | | (183) sum(n5, n5) = all_4_99
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REDUCE: (75), (181) imply:
% 260.53/66.35 | | | | | (184) sum(n10, n0) = all_4_98
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n10, all_4_99, n5, n5,
% 260.53/66.35 | | | | | simplifying with (64), (183) gives:
% 260.53/66.35 | | | | | (185) all_4_99 = n10
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | GROUND_INST: instantiating (72) with n10, all_4_98, n0, n10,
% 260.53/66.35 | | | | | simplifying with (62), (184) gives:
% 260.53/66.35 | | | | | (186) all_4_98 = n10
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | | REF_CLOSE: (1), (4), (6), (7), (10), (11), (12), (13), (14), (15),
% 260.53/66.35 | | | | | (17), (18), (19), (27), (28), (32), (36), (39), (40), (41),
% 260.53/66.35 | | | | | (42), (45), (46), (48), (51), (52), (53), (55), (56), (57),
% 260.53/66.35 | | | | | (58), (59), (60), (61), (66), (67), (69), (70), (72), (73),
% 260.53/66.35 | | | | | (74), (78), (80), (81), (86), (87), (90), (91), (93), (94),
% 260.53/66.35 | | | | | (96), (99), (100), (101), (102), (103), (104), (105),
% 260.53/66.35 | | | | | (106), (108), (185), (186) are inconsistent by sub-proof
% 260.53/66.35 | | | | | #20.
% 260.53/66.35 | | | | |
% 260.53/66.35 | | | | End of split
% 260.53/66.35 | | | |
% 260.53/66.35 | | | End of split
% 260.53/66.35 | | |
% 260.53/66.35 | | End of split
% 260.53/66.35 | |
% 260.53/66.35 | End of split
% 260.53/66.35 |
% 260.53/66.35 End of proof
% 260.53/66.35
% 260.53/66.35 Sub-proof #20 shows that the following formulas are inconsistent:
% 260.53/66.35 ----------------------------------------------------------------
% 260.53/66.35 (1) succ(all_4_95) = all_4_51
% 260.53/66.35 (2) succ(all_4_92) = all_4_46
% 260.53/66.35 (3) pred(all_4_95) = all_4_55
% 260.53/66.35 (4) sum(all_4_44, all_4_46) = all_4_40
% 260.53/66.35 (5) sum(n9, n0) = n9
% 260.53/66.35 (6) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.35 (7) sum(n3, n3) = n6
% 260.53/66.35 (8) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.35 (9) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.35 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.35 (11) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.35 (12) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.35 (13) succ(all_4_94) = all_4_54
% 260.53/66.35 (14) pred(all_4_99) = all_4_71
% 260.53/66.35 (15) sum(n6, n8) = n3
% 260.53/66.35 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.35 (17) sum(all_4_47, all_4_43) = all_4_41
% 260.53/66.35 (18) all_4_99 = n10
% 260.53/66.35 (19) pred(all_4_92) = all_4_44
% 260.53/66.35 (20) sum(n5, n7) = n1
% 260.53/66.35 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.35 (22) succ(n10) = n0
% 260.53/66.35 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.35 | ~ (succ(v2) = v0))
% 260.53/66.35 (24) pred(all_4_97) = all_4_63
% 260.53/66.35 (25) succ(all_4_99) = all_4_67
% 260.53/66.35 (26) pred(n6) = n5
% 260.53/66.35 (27) pred(all_4_96) = all_4_60
% 260.53/66.35 (28) succ(all_4_96) = all_4_62
% 260.53/66.35 (29) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.35 (30) pred(n7) = n6
% 260.53/66.35 (31) succ(n7) = n8
% 260.53/66.35 (32) sum(all_4_47, all_4_46) = all_4_45
% 260.53/66.35 (33) pred(all_4_93) = all_4_47
% 260.53/66.35 (34) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.35 (35) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.35 (36) all_4_98 = n10
% 260.53/66.35 (37) sum(all_4_41, all_4_40) = all_4_90
% 260.53/66.35 (38) succ(n2) = n3
% 260.53/66.35 (39) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.36 (40) succ(n6) = n7
% 260.53/66.36 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.36 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.36 (42) sum(all_4_45, all_4_42) = all_4_91
% 260.53/66.36 (43) sum(n9, n9) = n7
% 260.53/66.36 (44) sum(all_4_44, all_4_43) = all_4_42
% 260.53/66.36 (45) pred(n10) = n9
% 260.53/66.36 (46) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.36 (47) pred(n2) = n1
% 260.53/66.36 (48) succ(all_4_98) = all_4_70
% 260.53/66.36 (49) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.53/66.36 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.36 (50) sum(n4, n4) = n8
% 260.53/66.36 (51) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.36 (52) succ(all_4_97) = all_4_59
% 260.53/66.36 (53) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.36 (54) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.36 (55) sum(n1, n3) = n4
% 260.53/66.36 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.36 | ~ (pred(v2) = v0))
% 260.53/66.36 (57) sum(n1, n1) = n2
% 260.53/66.36 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.36 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.36 (60) succ(all_4_93) = all_4_43
% 260.53/66.36 (61) pred(all_4_98) = all_4_68
% 260.53/66.36 (62) pred(all_4_94) = all_4_52
% 260.53/66.36
% 260.53/66.36 Begin of proof
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (36), (61) imply:
% 260.53/66.36 | (63) pred(n10) = all_4_68
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (14), (18) imply:
% 260.53/66.36 | (64) pred(n10) = all_4_71
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (36), (48) imply:
% 260.53/66.36 | (65) succ(n10) = all_4_70
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (18), (25) imply:
% 260.53/66.36 | (66) succ(n10) = all_4_67
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (23) with n0, all_4_67, n10, simplifying with (22),
% 260.53/66.36 | (66) gives:
% 260.53/66.36 | (67) all_4_67 = n0
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n10, simplifying with
% 260.53/66.36 | (65), (66) gives:
% 260.53/66.36 | (68) all_4_67 = all_4_70
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (56) with n9, all_4_68, n10, simplifying with (45),
% 260.53/66.36 | (63) gives:
% 260.53/66.36 | (69) all_4_68 = n9
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (56) with all_4_71, all_4_68, n10, simplifying with
% 260.53/66.36 | (63), (64) gives:
% 260.53/66.36 | (70) all_4_68 = all_4_71
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (67), (68) imply:
% 260.53/66.36 | (71) all_4_70 = n0
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (69), (70) imply:
% 260.53/66.36 | (72) all_4_71 = n9
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (39), (67), (69) imply:
% 260.53/66.36 | (73) sum(n9, n0) = all_4_66
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (51), (69), (71) imply:
% 260.53/66.36 | (74) sum(n9, n0) = all_4_64
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (34), (67), (72) imply:
% 260.53/66.36 | (75) sum(n9, n0) = all_4_65
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (9), (71), (72) imply:
% 260.53/66.36 | (76) sum(n9, n0) = all_4_69
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with n9, all_4_65, n0, n9, simplifying with
% 260.53/66.36 | (5), (75) gives:
% 260.53/66.36 | (77) all_4_65 = n9
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_66, all_4_65, n0, n9, simplifying
% 260.53/66.36 | with (73), (75) gives:
% 260.53/66.36 | (78) all_4_65 = all_4_66
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_66, all_4_64, n0, n9, simplifying
% 260.53/66.36 | with (73), (74) gives:
% 260.53/66.36 | (79) all_4_64 = all_4_66
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_69, all_4_64, n0, n9, simplifying
% 260.53/66.36 | with (74), (76) gives:
% 260.53/66.36 | (80) all_4_64 = all_4_69
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (79), (80) imply:
% 260.53/66.36 | (81) all_4_66 = all_4_69
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (81) implies:
% 260.53/66.36 | (82) all_4_66 = all_4_69
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (77), (78) imply:
% 260.53/66.36 | (83) all_4_66 = n9
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (83) implies:
% 260.53/66.36 | (84) all_4_66 = n9
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (82), (84) imply:
% 260.53/66.36 | (85) all_4_69 = n9
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (80), (85) imply:
% 260.53/66.36 | (86) all_4_64 = n9
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (21), (77), (86) imply:
% 260.53/66.36 | (87) sum(n9, n9) = all_4_96
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (46), (84), (85) imply:
% 260.53/66.36 | (88) sum(n9, n9) = all_4_97
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with n7, all_4_96, n9, n9, simplifying with
% 260.53/66.36 | (43), (87) gives:
% 260.53/66.36 | (89) all_4_96 = n7
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_97, all_4_96, n9, n9, simplifying
% 260.53/66.36 | with (87), (88) gives:
% 260.53/66.36 | (90) all_4_96 = all_4_97
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (89), (90) imply:
% 260.53/66.36 | (91) all_4_97 = n7
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (91) implies:
% 260.53/66.36 | (92) all_4_97 = n7
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (27), (89) imply:
% 260.53/66.36 | (93) pred(n7) = all_4_60
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (24), (92) imply:
% 260.53/66.36 | (94) pred(n7) = all_4_63
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (28), (89) imply:
% 260.53/66.36 | (95) succ(n7) = all_4_62
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (52), (92) imply:
% 260.53/66.36 | (96) succ(n7) = all_4_59
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (23) with n8, all_4_59, n7, simplifying with (31),
% 260.53/66.36 | (96) gives:
% 260.53/66.36 | (97) all_4_59 = n8
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n7, simplifying with
% 260.53/66.36 | (95), (96) gives:
% 260.53/66.36 | (98) all_4_59 = all_4_62
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (56) with n6, all_4_60, n7, simplifying with (30),
% 260.53/66.36 | (93) gives:
% 260.53/66.36 | (99) all_4_60 = n6
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (56) with all_4_63, all_4_60, n7, simplifying with
% 260.53/66.36 | (93), (94) gives:
% 260.53/66.36 | (100) all_4_60 = all_4_63
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (97), (98) imply:
% 260.53/66.36 | (101) all_4_62 = n8
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (99), (100) imply:
% 260.53/66.36 | (102) all_4_63 = n6
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (35), (97), (99) imply:
% 260.53/66.36 | (103) sum(n6, n8) = all_4_58
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (8), (99), (101) imply:
% 260.53/66.36 | (104) sum(n6, n8) = all_4_56
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (11), (97), (102) imply:
% 260.53/66.36 | (105) sum(n6, n8) = all_4_57
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (12), (101), (102) imply:
% 260.53/66.36 | (106) sum(n6, n8) = all_4_61
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with n3, all_4_57, n8, n6, simplifying with
% 260.53/66.36 | (15), (105) gives:
% 260.53/66.36 | (107) all_4_57 = n3
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_58, all_4_57, n8, n6, simplifying
% 260.53/66.36 | with (103), (105) gives:
% 260.53/66.36 | (108) all_4_57 = all_4_58
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_57, all_4_56, n8, n6, simplifying
% 260.53/66.36 | with (104), (105) gives:
% 260.53/66.36 | (109) all_4_56 = all_4_57
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_61, all_4_56, n8, n6, simplifying
% 260.53/66.36 | with (104), (106) gives:
% 260.53/66.36 | (110) all_4_56 = all_4_61
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (109), (110) imply:
% 260.53/66.36 | (111) all_4_57 = all_4_61
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (111) implies:
% 260.53/66.36 | (112) all_4_57 = all_4_61
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (107), (108) imply:
% 260.53/66.36 | (113) all_4_58 = n3
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (108), (112) imply:
% 260.53/66.36 | (114) all_4_58 = all_4_61
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (113), (114) imply:
% 260.53/66.36 | (115) all_4_61 = n3
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (110), (115) imply:
% 260.53/66.36 | (116) all_4_56 = n3
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (16), (107), (116) imply:
% 260.53/66.36 | (117) sum(n3, n3) = all_4_94
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (53), (113), (115) imply:
% 260.53/66.36 | (118) sum(n3, n3) = all_4_95
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with n6, all_4_94, n3, n3, simplifying with
% 260.53/66.36 | (7), (117) gives:
% 260.53/66.36 | (119) all_4_94 = n6
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_95, all_4_94, n3, n3, simplifying
% 260.53/66.36 | with (117), (118) gives:
% 260.53/66.36 | (120) all_4_94 = all_4_95
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (119), (120) imply:
% 260.53/66.36 | (121) all_4_95 = n6
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (62), (119) imply:
% 260.53/66.36 | (122) pred(n6) = all_4_52
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (3), (121) imply:
% 260.53/66.36 | (123) pred(n6) = all_4_55
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (13), (119) imply:
% 260.53/66.36 | (124) succ(n6) = all_4_54
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (1), (121) imply:
% 260.53/66.36 | (125) succ(n6) = all_4_51
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (23) with n7, all_4_51, n6, simplifying with (40),
% 260.53/66.36 | (125) gives:
% 260.53/66.36 | (126) all_4_51 = n7
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (23) with all_4_54, all_4_51, n6, simplifying with
% 260.53/66.36 | (124), (125) gives:
% 260.53/66.36 | (127) all_4_51 = all_4_54
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (56) with n5, all_4_52, n6, simplifying with (26),
% 260.53/66.36 | (122) gives:
% 260.53/66.36 | (128) all_4_52 = n5
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (56) with all_4_55, all_4_52, n6, simplifying with
% 260.53/66.36 | (122), (123) gives:
% 260.53/66.36 | (129) all_4_52 = all_4_55
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (126), (127) imply:
% 260.53/66.36 | (130) all_4_54 = n7
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (128), (129) imply:
% 260.53/66.36 | (131) all_4_55 = n5
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (131) implies:
% 260.53/66.36 | (132) all_4_55 = n5
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (58), (126), (128) imply:
% 260.53/66.36 | (133) sum(n5, n7) = all_4_50
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (6), (128), (130) imply:
% 260.53/66.36 | (134) sum(n5, n7) = all_4_48
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (29), (126), (132) imply:
% 260.53/66.36 | (135) sum(n5, n7) = all_4_49
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (10), (130), (132) imply:
% 260.53/66.36 | (136) sum(n5, n7) = all_4_53
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with n1, all_4_49, n7, n5, simplifying with
% 260.53/66.36 | (20), (135) gives:
% 260.53/66.36 | (137) all_4_49 = n1
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_50, all_4_49, n7, n5, simplifying
% 260.53/66.36 | with (133), (135) gives:
% 260.53/66.36 | (138) all_4_49 = all_4_50
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_49, all_4_48, n7, n5, simplifying
% 260.53/66.36 | with (134), (135) gives:
% 260.53/66.36 | (139) all_4_48 = all_4_49
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_53, all_4_48, n7, n5, simplifying
% 260.53/66.36 | with (134), (136) gives:
% 260.53/66.36 | (140) all_4_48 = all_4_53
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (139), (140) imply:
% 260.53/66.36 | (141) all_4_49 = all_4_53
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (141) implies:
% 260.53/66.36 | (142) all_4_49 = all_4_53
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (137), (138) imply:
% 260.53/66.36 | (143) all_4_50 = n1
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (138), (142) imply:
% 260.53/66.36 | (144) all_4_50 = all_4_53
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (143), (144) imply:
% 260.53/66.36 | (145) all_4_53 = n1
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (140), (145) imply:
% 260.53/66.36 | (146) all_4_48 = n1
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (54), (137), (146) imply:
% 260.53/66.36 | (147) sum(n1, n1) = all_4_92
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (59), (143), (145) imply:
% 260.53/66.36 | (148) sum(n1, n1) = all_4_93
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with n2, all_4_92, n1, n1, simplifying with
% 260.53/66.36 | (57), (147) gives:
% 260.53/66.36 | (149) all_4_92 = n2
% 260.53/66.36 |
% 260.53/66.36 | GROUND_INST: instantiating (41) with all_4_93, all_4_92, n1, n1, simplifying
% 260.53/66.36 | with (147), (148) gives:
% 260.53/66.36 | (150) all_4_92 = all_4_93
% 260.53/66.36 |
% 260.53/66.36 | COMBINE_EQS: (149), (150) imply:
% 260.53/66.36 | (151) all_4_93 = n2
% 260.53/66.36 |
% 260.53/66.36 | SIMP: (151) implies:
% 260.53/66.36 | (152) all_4_93 = n2
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (19), (149) imply:
% 260.53/66.36 | (153) pred(n2) = all_4_44
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (33), (152) imply:
% 260.53/66.36 | (154) pred(n2) = all_4_47
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (2), (149) imply:
% 260.53/66.36 | (155) succ(n2) = all_4_46
% 260.53/66.36 |
% 260.53/66.36 | REDUCE: (60), (152) imply:
% 260.53/66.36 | (156) succ(n2) = all_4_43
% 260.53/66.36 |
% 260.53/66.36 | REF_CLOSE: (4), (17), (18), (23), (32), (36), (37), (38), (41), (42), (44),
% 260.53/66.36 | (47), (49), (50), (55), (56), (89), (92), (119), (121), (149),
% 260.53/66.36 | (152), (153), (154), (155), (156) are inconsistent by sub-proof
% 260.53/66.36 | #90.
% 260.53/66.36 |
% 260.53/66.36 End of proof
% 260.53/66.36
% 260.53/66.36 Sub-proof #21 shows that the following formulas are inconsistent:
% 260.53/66.36 ----------------------------------------------------------------
% 260.53/66.36 (1) succ(all_4_95) = all_4_51
% 260.53/66.36 (2) succ(n1) = n2
% 260.53/66.36 (3) sum(n4, n6) = n10
% 260.53/66.36 (4) succ(all_4_92) = all_4_46
% 260.53/66.36 (5) sum(n2, n2) = n4
% 260.53/66.36 (6) pred(all_4_95) = all_4_55
% 260.53/66.36 (7) sum(all_4_44, all_4_46) = all_4_40
% 260.53/66.36 (8) succ(n9) = n10
% 260.53/66.36 (9) sum(n0, n1) = n1
% 260.53/66.36 (10) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.36 (11) sum(n3, n3) = n6
% 260.53/66.36 (12) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.36 (13) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.36 (14) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.36 (15) sum(n5, n2) = n7
% 260.53/66.36 (16) sum(n2, n4) = n6
% 260.53/66.36 (17) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.36 (18) pred(all_4_101) = all_4_79
% 260.53/66.36 (19) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.36 (20) succ(all_4_94) = all_4_54
% 260.53/66.36 (21) sum(n5, n3) = n8
% 260.53/66.36 (22) sum(n10, n1) = n0
% 260.53/66.36 (23) sum(n8, n8) = n5
% 260.53/66.36 (24) sum(all_4_79, n7) = all_4_77
% 260.53/66.36 (25) sum(n10, n7) = n6
% 260.53/66.36 (26) pred(n8) = n7
% 260.53/66.36 (27) all_4_101 = n3 | all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.53/66.36 (28) pred(all_4_99) = all_4_71
% 260.53/66.36 (29) sum(n6, n8) = n3
% 260.53/66.36 (30) succ(n0) = n1
% 260.53/66.36 (31) sum(n8, n10) = n7
% 260.53/66.36 (32) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.36 (33) sum(n0, n2) = n2
% 260.53/66.36 (34) sum(n3, n5) = n8
% 260.53/66.36 (35) sum(n10, n10) = n9
% 260.53/66.36 (36) sum(all_4_47, all_4_43) = all_4_41
% 260.53/66.36 (37) sum(n6, n1) = n7
% 260.53/66.36 (38) pred(n5) = n4
% 260.53/66.36 (39) pred(all_4_92) = all_4_44
% 260.53/66.36 (40) sum(n5, n7) = n1
% 260.53/66.36 (41) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.36 (42) pred(n4) = n3
% 260.53/66.36 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.36 | ~ (succ(v2) = v0))
% 260.53/66.36 (44) pred(all_4_97) = all_4_63
% 260.53/66.36 (45) succ(all_4_99) = all_4_67
% 260.53/66.36 (46) sum(n5, n4) = n9
% 260.53/66.36 (47) pred(n9) = n8
% 260.53/66.36 (48) succ(n3) = n4
% 260.53/66.36 (49) pred(n6) = n5
% 260.53/66.36 (50) pred(all_4_96) = all_4_60
% 260.53/66.36 (51) succ(all_4_96) = all_4_62
% 260.53/66.36 (52) pred(n3) = n2
% 260.53/66.36 (53) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.36 (54) pred(n7) = n6
% 260.53/66.36 (55) succ(n7) = n8
% 260.53/66.36 (56) sum(all_4_47, all_4_46) = all_4_45
% 260.53/66.36 (57) pred(all_4_93) = all_4_47
% 260.53/66.36 (58) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.36 (59) sum(n1, n7) = n8
% 260.53/66.36 (60) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.36 (61) sum(n4, n1) = n5
% 260.53/66.36 (62) sum(n5, n5) = n10
% 260.53/66.36 (63) sum(all_4_41, all_4_40) = all_4_90
% 260.53/66.36 (64) succ(n2) = n3
% 260.53/66.36 (65) sum(n2, n1) = n3
% 260.53/66.36 (66) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.36 (67) sum(n0, n7) = n7
% 260.53/66.36 (68) succ(n6) = n7
% 260.53/66.36 (69) succ(n8) = n9
% 260.53/66.36 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.36 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.36 (71) sum(n5, all_4_75) = all_4_74
% 260.53/66.36 (72) sum(all_4_45, all_4_42) = all_4_91
% 260.53/66.36 (73) sum(n9, n9) = n7
% 260.53/66.36 (74) sum(all_4_73, n1) = all_4_98
% 260.53/66.36 (75) sum(n6, n6) = n1
% 260.53/66.36 (76) sum(all_4_44, all_4_43) = all_4_42
% 260.53/66.36 (77) succ(n5) = n6
% 260.53/66.36 (78) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.36 (79) sum(n7, n9) = n5
% 260.53/66.36 (80) succ(n4) = n5
% 260.53/66.36 (81) sum(all_4_79, all_4_75) = all_4_73
% 260.53/66.36 (82) sum(n2, n7) = n9
% 260.53/66.36 (83) pred(n2) = n1
% 260.53/66.36 (84) succ(all_4_98) = all_4_70
% 260.53/66.36 (85) sum(n5, n1) = n6
% 260.53/66.36 (86) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.53/66.36 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.53/66.36 (87) sum(n4, n4) = n8
% 260.53/66.36 (88) pred(n1) = n0
% 260.53/66.36 (89) succ(all_4_101) = all_4_75
% 260.53/66.36 (90) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.36 (91) succ(all_4_97) = all_4_59
% 260.53/66.36 (92) sum(all_4_77, all_4_74) = all_4_99
% 260.53/66.36 (93) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.36 (94) sum(n7, n7) = n3
% 260.53/66.36 (95) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.36 (96) sum(n1, n3) = n4
% 260.53/66.36 (97) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.36 | ~ (pred(v2) = v0))
% 260.53/66.36 (98) sum(n1, n1) = n2
% 260.53/66.36 (99) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.36 (100) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.36 (101) succ(all_4_93) = all_4_43
% 260.53/66.36 (102) pred(all_4_98) = all_4_68
% 260.53/66.36 (103) pred(n0) = n10
% 260.53/66.36 (104) pred(all_4_94) = all_4_52
% 260.53/66.36
% 260.53/66.36 Begin of proof
% 260.53/66.36 |
% 260.53/66.36 | BETA: splitting (27) gives:
% 260.53/66.36 |
% 260.53/66.36 | Case 1:
% 260.53/66.36 | |
% 260.53/66.36 | | (105) all_4_101 = n3
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (18), (105) imply:
% 260.53/66.36 | | (106) pred(n3) = all_4_79
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (89), (105) imply:
% 260.53/66.36 | | (107) succ(n3) = all_4_75
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (43) with n4, all_4_75, n3, simplifying with
% 260.53/66.36 | | (48), (107) gives:
% 260.53/66.36 | | (108) all_4_75 = n4
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (97) with n2, all_4_79, n3, simplifying with
% 260.53/66.36 | | (52), (106) gives:
% 260.53/66.36 | | (109) all_4_79 = n2
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (81), (108), (109) imply:
% 260.53/66.36 | | (110) sum(n2, n4) = all_4_73
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (24), (109) imply:
% 260.53/66.36 | | (111) sum(n2, n7) = all_4_77
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (71), (108) imply:
% 260.53/66.36 | | (112) sum(n5, n4) = all_4_74
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (70) with n6, all_4_73, n4, n2, simplifying with
% 260.53/66.36 | | (16), (110) gives:
% 260.53/66.36 | | (113) all_4_73 = n6
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (70) with n9, all_4_77, n7, n2, simplifying with
% 260.53/66.36 | | (82), (111) gives:
% 260.53/66.36 | | (114) all_4_77 = n9
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (70) with n9, all_4_74, n4, n5, simplifying with
% 260.53/66.36 | | (46), (112) gives:
% 260.53/66.36 | | (115) all_4_74 = n9
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (74), (113) imply:
% 260.53/66.36 | | (116) sum(n6, n1) = all_4_98
% 260.53/66.36 | |
% 260.53/66.36 | | REDUCE: (92), (114), (115) imply:
% 260.53/66.36 | | (117) sum(n9, n9) = all_4_99
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (70) with n7, all_4_98, n1, n6, simplifying with
% 260.53/66.36 | | (37), (116) gives:
% 260.53/66.36 | | (118) all_4_98 = n7
% 260.53/66.36 | |
% 260.53/66.36 | | GROUND_INST: instantiating (70) with n7, all_4_99, n9, n9, simplifying with
% 260.53/66.36 | | (73), (117) gives:
% 260.53/66.36 | | (119) all_4_99 = n7
% 260.53/66.36 | |
% 260.53/66.36 | | REF_CLOSE: (1), (4), (6), (7), (10), (11), (12), (13), (14), (17), (19),
% 260.53/66.36 | | (20), (26), (28), (29), (32), (36), (39), (40), (41), (43), (44),
% 260.53/66.36 | | (45), (49), (50), (51), (53), (54), (55), (56), (57), (58), (60),
% 260.53/66.36 | | (62), (63), (64), (66), (68), (69), (70), (72), (76), (78), (79),
% 260.53/66.36 | | (83), (84), (86), (87), (90), (91), (93), (95), (96), (97), (98),
% 260.53/66.36 | | (99), (100), (101), (102), (104), (118), (119) are inconsistent
% 260.53/66.36 | | by sub-proof #79.
% 260.53/66.36 | |
% 260.53/66.36 | Case 2:
% 260.53/66.36 | |
% 260.53/66.36 | | (120) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.53/66.36 | |
% 260.53/66.36 | | BETA: splitting (120) gives:
% 260.53/66.36 | |
% 260.53/66.36 | | Case 1:
% 260.53/66.36 | | |
% 260.53/66.36 | | | (121) all_4_101 = n2
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (18), (121) imply:
% 260.53/66.36 | | | (122) pred(n2) = all_4_79
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (89), (121) imply:
% 260.53/66.36 | | | (123) succ(n2) = all_4_75
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (43) with n3, all_4_75, n2, simplifying with
% 260.53/66.36 | | | (64), (123) gives:
% 260.53/66.36 | | | (124) all_4_75 = n3
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (97) with n1, all_4_79, n2, simplifying with
% 260.53/66.36 | | | (83), (122) gives:
% 260.53/66.36 | | | (125) all_4_79 = n1
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (81), (124), (125) imply:
% 260.53/66.36 | | | (126) sum(n1, n3) = all_4_73
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (24), (125) imply:
% 260.53/66.36 | | | (127) sum(n1, n7) = all_4_77
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (71), (124) imply:
% 260.53/66.36 | | | (128) sum(n5, n3) = all_4_74
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (70) with n4, all_4_73, n3, n1, simplifying
% 260.53/66.36 | | | with (96), (126) gives:
% 260.53/66.36 | | | (129) all_4_73 = n4
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (70) with n8, all_4_77, n7, n1, simplifying
% 260.53/66.36 | | | with (59), (127) gives:
% 260.53/66.36 | | | (130) all_4_77 = n8
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (70) with n8, all_4_74, n3, n5, simplifying
% 260.53/66.36 | | | with (21), (128) gives:
% 260.53/66.36 | | | (131) all_4_74 = n8
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (74), (129) imply:
% 260.53/66.36 | | | (132) sum(n4, n1) = all_4_98
% 260.53/66.36 | | |
% 260.53/66.36 | | | REDUCE: (92), (130), (131) imply:
% 260.53/66.36 | | | (133) sum(n8, n8) = all_4_99
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (70) with n5, all_4_98, n1, n4, simplifying
% 260.53/66.36 | | | with (61), (132) gives:
% 260.53/66.36 | | | (134) all_4_98 = n5
% 260.53/66.36 | | |
% 260.53/66.36 | | | GROUND_INST: instantiating (70) with n5, all_4_99, n8, n8, simplifying
% 260.53/66.36 | | | with (23), (133) gives:
% 260.53/66.36 | | | (135) all_4_99 = n5
% 260.53/66.36 | | |
% 260.53/66.36 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 260.53/66.36 | | | (16), (17), (19), (20), (28), (31), (32), (33), (35), (36),
% 260.53/66.36 | | | (38), (39), (41), (43), (44), (45), (47), (48), (50), (51),
% 260.53/66.36 | | | (52), (53), (56), (57), (58), (60), (63), (66), (70), (72),
% 260.53/66.36 | | | (75), (76), (77), (78), (84), (86), (88), (90), (91), (93),
% 260.53/66.36 | | | (94), (95), (97), (99), (100), (101), (102), (104), (134),
% 260.53/66.36 | | | (135) are inconsistent by sub-proof #58.
% 260.53/66.36 | | |
% 260.53/66.36 | | Case 2:
% 260.53/66.36 | | |
% 260.53/66.36 | | | (136) all_4_101 = n1 | all_4_101 = n0
% 260.53/66.36 | | |
% 260.53/66.36 | | | BETA: splitting (136) gives:
% 260.53/66.36 | | |
% 260.53/66.36 | | | Case 1:
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | (137) all_4_101 = n1
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (18), (137) imply:
% 260.53/66.36 | | | | (138) pred(n1) = all_4_79
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (89), (137) imply:
% 260.53/66.36 | | | | (139) succ(n1) = all_4_75
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (43) with n2, all_4_75, n1, simplifying with
% 260.53/66.36 | | | | (2), (139) gives:
% 260.53/66.36 | | | | (140) all_4_75 = n2
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (97) with n0, all_4_79, n1, simplifying with
% 260.53/66.36 | | | | (88), (138) gives:
% 260.53/66.36 | | | | (141) all_4_79 = n0
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (81), (140), (141) imply:
% 260.53/66.36 | | | | (142) sum(n0, n2) = all_4_73
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (24), (141) imply:
% 260.53/66.36 | | | | (143) sum(n0, n7) = all_4_77
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (71), (140) imply:
% 260.53/66.36 | | | | (144) sum(n5, n2) = all_4_74
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (70) with n2, all_4_73, n2, n0, simplifying
% 260.53/66.36 | | | | with (33), (142) gives:
% 260.53/66.36 | | | | (145) all_4_73 = n2
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (70) with n7, all_4_77, n7, n0, simplifying
% 260.53/66.36 | | | | with (67), (143) gives:
% 260.53/66.36 | | | | (146) all_4_77 = n7
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (70) with n7, all_4_74, n2, n5, simplifying
% 260.53/66.36 | | | | with (15), (144) gives:
% 260.53/66.36 | | | | (147) all_4_74 = n7
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (74), (145) imply:
% 260.53/66.36 | | | | (148) sum(n2, n1) = all_4_98
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (92), (146), (147) imply:
% 260.53/66.36 | | | | (149) sum(n7, n7) = all_4_99
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (70) with n3, all_4_98, n1, n2, simplifying
% 260.53/66.36 | | | | with (65), (148) gives:
% 260.53/66.36 | | | | (150) all_4_98 = n3
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (70) with n3, all_4_99, n7, n7, simplifying
% 260.53/66.36 | | | | with (94), (149) gives:
% 260.53/66.36 | | | | (151) all_4_99 = n3
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (12), (13), (14),
% 260.53/66.36 | | | | (16), (17), (19), (20), (23), (28), (32), (33), (34), (35),
% 260.53/66.36 | | | | (36), (38), (39), (41), (42), (43), (44), (45), (48), (50),
% 260.53/66.36 | | | | (51), (52), (53), (56), (57), (58), (60), (63), (66), (70),
% 260.53/66.36 | | | | (72), (75), (76), (77), (78), (80), (84), (86), (88), (90),
% 260.53/66.36 | | | | (91), (93), (95), (97), (99), (100), (101), (102), (104),
% 260.53/66.36 | | | | (150), (151) are inconsistent by sub-proof #31.
% 260.53/66.36 | | | |
% 260.53/66.36 | | | Case 2:
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | (152) all_4_101 = n0
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (18), (152) imply:
% 260.53/66.36 | | | | (153) pred(n0) = all_4_79
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (89), (152) imply:
% 260.53/66.36 | | | | (154) succ(n0) = all_4_75
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (43) with n1, all_4_75, n0, simplifying with
% 260.53/66.36 | | | | (30), (154) gives:
% 260.53/66.36 | | | | (155) all_4_75 = n1
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | GROUND_INST: instantiating (97) with n10, all_4_79, n0, simplifying with
% 260.53/66.36 | | | | (103), (153) gives:
% 260.53/66.36 | | | | (156) all_4_79 = n10
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (81), (155), (156) imply:
% 260.53/66.36 | | | | (157) sum(n10, n1) = all_4_73
% 260.53/66.36 | | | |
% 260.53/66.36 | | | | REDUCE: (24), (156) imply:
% 260.53/66.37 | | | | (158) sum(n10, n7) = all_4_77
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | REDUCE: (71), (155) imply:
% 260.53/66.37 | | | | (159) sum(n5, n1) = all_4_74
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | GROUND_INST: instantiating (70) with n6, all_4_74, n1, n5, simplifying
% 260.53/66.37 | | | | with (85), (159) gives:
% 260.53/66.37 | | | | (160) all_4_74 = n6
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | GROUND_INST: instantiating (70) with n0, all_4_73, n1, n10, simplifying
% 260.53/66.37 | | | | with (22), (157) gives:
% 260.53/66.37 | | | | (161) all_4_73 = n0
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | GROUND_INST: instantiating (70) with n6, all_4_77, n7, n10, simplifying
% 260.53/66.37 | | | | with (25), (158) gives:
% 260.53/66.37 | | | | (162) all_4_77 = n6
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | REDUCE: (74), (161) imply:
% 260.53/66.37 | | | | (163) sum(n0, n1) = all_4_98
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | REDUCE: (92), (160), (162) imply:
% 260.53/66.37 | | | | (164) sum(n6, n6) = all_4_99
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | GROUND_INST: instantiating (70) with n1, all_4_98, n1, n0, simplifying
% 260.53/66.37 | | | | with (9), (163) gives:
% 260.53/66.37 | | | | (165) all_4_98 = n1
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | GROUND_INST: instantiating (70) with n1, all_4_99, n6, n6, simplifying
% 260.53/66.37 | | | | with (75), (164) gives:
% 260.53/66.37 | | | | (166) all_4_99 = n1
% 260.53/66.37 | | | |
% 260.53/66.37 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (13),
% 260.53/66.37 | | | | (14), (17), (19), (20), (23), (28), (31), (32), (33), (34),
% 260.53/66.37 | | | | (35), (36), (38), (39), (41), (42), (43), (44), (45), (47),
% 260.53/66.37 | | | | (50), (51), (53), (56), (57), (58), (60), (63), (66), (70),
% 260.53/66.37 | | | | (72), (76), (77), (78), (80), (84), (86), (88), (90), (91),
% 260.53/66.37 | | | | (93), (94), (95), (97), (99), (100), (101), (102), (104),
% 260.53/66.37 | | | | (165), (166) are inconsistent by sub-proof #28.
% 260.53/66.37 | | | |
% 260.53/66.37 | | | End of split
% 260.53/66.37 | | |
% 260.53/66.37 | | End of split
% 260.53/66.37 | |
% 260.53/66.37 | End of split
% 260.53/66.37 |
% 260.53/66.37 End of proof
% 260.53/66.37
% 260.53/66.37 Sub-proof #22 shows that the following formulas are inconsistent:
% 260.53/66.37 ----------------------------------------------------------------
% 260.53/66.37 (1) succ(all_4_95) = all_4_51
% 260.53/66.37 (2) succ(all_4_91) = all_4_35
% 260.53/66.37 (3) succ(all_4_92) = all_4_46
% 260.53/66.37 (4) pred(all_4_95) = all_4_55
% 260.53/66.37 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.53/66.37 (6) sum(n9, n0) = n9
% 260.53/66.37 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.53/66.37 (8) sum(n3, n3) = n6
% 260.53/66.37 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.53/66.37 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.53/66.37 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.53/66.37 (12) ~ (all_4_88 = all_4_89)
% 260.53/66.37 (13) sum(all_4_63, all_4_59) = all_4_57
% 260.53/66.37 (14) sum(all_4_63, all_4_62) = all_4_61
% 260.53/66.37 (15) succ(all_4_94) = all_4_54
% 260.53/66.37 (16) sum(all_4_37, all_4_34) = all_4_89
% 260.53/66.37 (17) pred(n8) = n7
% 260.53/66.37 (18) pred(all_4_99) = all_4_71
% 260.53/66.37 (19) succ(all_4_90) = all_4_38
% 260.53/66.37 (20) sum(n6, n8) = n3
% 260.53/66.37 (21) sum(all_4_57, all_4_56) = all_4_94
% 260.53/66.37 (22) sum(all_4_33, all_4_32) = all_4_88
% 260.53/66.37 (23) sum(all_4_47, all_4_43) = all_4_41
% 260.53/66.37 (24) pred(all_4_91) = all_4_39
% 260.53/66.37 (25) pred(all_4_92) = all_4_44
% 260.53/66.37 (26) sum(n5, n7) = n1
% 260.53/66.37 (27) sum(all_4_65, all_4_64) = all_4_96
% 260.53/66.37 (28) succ(n10) = n0
% 260.53/66.37 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.53/66.37 | ~ (succ(v2) = v0))
% 260.53/66.37 (30) pred(all_4_97) = all_4_63
% 260.53/66.37 (31) succ(all_4_99) = all_4_67
% 260.53/66.37 (32) pred(n6) = n5
% 260.53/66.37 (33) pred(all_4_96) = all_4_60
% 260.53/66.37 (34) succ(all_4_96) = all_4_62
% 260.53/66.37 (35) sum(all_4_55, all_4_51) = all_4_49
% 260.53/66.37 (36) pred(n7) = n6
% 260.53/66.37 (37) sum(all_4_36, all_4_35) = all_4_34
% 260.53/66.37 (38) succ(n7) = n8
% 260.53/66.37 (39) sum(all_4_47, all_4_46) = all_4_45
% 260.53/66.37 (40) pred(all_4_93) = all_4_47
% 260.53/66.37 (41) sum(all_4_71, all_4_67) = all_4_65
% 260.53/66.37 (42) sum(all_4_60, all_4_59) = all_4_58
% 260.53/66.37 (43) sum(n5, n5) = n10
% 260.53/66.37 (44) all_4_99 = n8
% 260.53/66.37 (45) sum(all_4_41, all_4_40) = all_4_90
% 260.53/66.37 (46) succ(n2) = n3
% 260.53/66.37 (47) sum(all_4_68, all_4_67) = all_4_66
% 260.53/66.37 (48) succ(n6) = n7
% 260.53/66.37 (49) succ(n8) = n9
% 260.53/66.37 (50) sum(all_4_39, all_4_35) = all_4_33
% 260.53/66.37 (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.53/66.37 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.53/66.37 (52) sum(all_4_45, all_4_42) = all_4_91
% 260.53/66.37 (53) sum(n9, n9) = n7
% 260.53/66.37 (54) sum(all_4_39, all_4_38) = all_4_37
% 260.53/66.37 (55) sum(n4, n4) = all_4_99
% 260.53/66.37 (56) sum(all_4_44, all_4_43) = all_4_42
% 260.53/66.37 (57) pred(n10) = n9
% 260.53/66.37 (58) sum(all_4_69, all_4_66) = all_4_97
% 260.53/66.37 (59) sum(n7, n9) = n5
% 260.53/66.37 (60) pred(n2) = n1
% 260.53/66.37 (61) succ(all_4_98) = all_4_70
% 260.53/66.37 (62) all_4_98 = n8
% 260.53/66.37 (63) pred(all_4_90) = all_4_36
% 260.53/66.37 (64) sum(all_4_68, all_4_70) = all_4_64
% 260.53/66.37 (65) succ(all_4_97) = all_4_59
% 260.53/66.37 (66) sum(all_4_36, all_4_38) = all_4_32
% 260.53/66.37 (67) sum(all_4_61, all_4_58) = all_4_95
% 260.53/66.37 (68) sum(all_4_49, all_4_48) = all_4_92
% 260.53/66.37 (69) sum(n1, n3) = n4
% 260.53/66.37 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.53/66.37 | ~ (pred(v2) = v0))
% 260.53/66.37 (71) sum(n1, n1) = n2
% 260.53/66.37 (72) sum(all_4_52, all_4_51) = all_4_50
% 260.53/66.37 (73) sum(all_4_53, all_4_50) = all_4_93
% 260.53/66.37 (74) succ(all_4_93) = all_4_43
% 260.53/66.37 (75) pred(all_4_98) = all_4_68
% 260.53/66.37 (76) pred(all_4_94) = all_4_52
% 260.53/66.37
% 260.53/66.37 Begin of proof
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (62), (75) imply:
% 260.53/66.37 | (77) pred(n8) = all_4_68
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (18), (44) imply:
% 260.53/66.37 | (78) pred(n8) = all_4_71
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (61), (62) imply:
% 260.53/66.37 | (79) succ(n8) = all_4_70
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (31), (44) imply:
% 260.53/66.37 | (80) succ(n8) = all_4_67
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (44), (55) imply:
% 260.53/66.37 | (81) sum(n4, n4) = n8
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (29) with n9, all_4_67, n8, simplifying with (49),
% 260.53/66.37 | (80) gives:
% 260.53/66.37 | (82) all_4_67 = n9
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (29) with all_4_70, all_4_67, n8, simplifying with
% 260.53/66.37 | (79), (80) gives:
% 260.53/66.37 | (83) all_4_67 = all_4_70
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (70) with n7, all_4_68, n8, simplifying with (17),
% 260.53/66.37 | (77) gives:
% 260.53/66.37 | (84) all_4_68 = n7
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (70) with all_4_71, all_4_68, n8, simplifying with
% 260.53/66.37 | (77), (78) gives:
% 260.53/66.37 | (85) all_4_68 = all_4_71
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (82), (83) imply:
% 260.53/66.37 | (86) all_4_70 = n9
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (84), (85) imply:
% 260.53/66.37 | (87) all_4_71 = n7
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (47), (82), (84) imply:
% 260.53/66.37 | (88) sum(n7, n9) = all_4_66
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (64), (84), (86) imply:
% 260.53/66.37 | (89) sum(n7, n9) = all_4_64
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (41), (82), (87) imply:
% 260.53/66.37 | (90) sum(n7, n9) = all_4_65
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (10), (86), (87) imply:
% 260.53/66.37 | (91) sum(n7, n9) = all_4_69
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with n5, all_4_65, n9, n7, simplifying with
% 260.53/66.37 | (59), (90) gives:
% 260.53/66.37 | (92) all_4_65 = n5
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_66, all_4_65, n9, n7, simplifying
% 260.53/66.37 | with (88), (90) gives:
% 260.53/66.37 | (93) all_4_65 = all_4_66
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_66, all_4_64, n9, n7, simplifying
% 260.53/66.37 | with (88), (89) gives:
% 260.53/66.37 | (94) all_4_64 = all_4_66
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_69, all_4_64, n9, n7, simplifying
% 260.53/66.37 | with (89), (91) gives:
% 260.53/66.37 | (95) all_4_64 = all_4_69
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (94), (95) imply:
% 260.53/66.37 | (96) all_4_66 = all_4_69
% 260.53/66.37 |
% 260.53/66.37 | SIMP: (96) implies:
% 260.53/66.37 | (97) all_4_66 = all_4_69
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (92), (93) imply:
% 260.53/66.37 | (98) all_4_66 = n5
% 260.53/66.37 |
% 260.53/66.37 | SIMP: (98) implies:
% 260.53/66.37 | (99) all_4_66 = n5
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (97), (99) imply:
% 260.53/66.37 | (100) all_4_69 = n5
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (95), (100) imply:
% 260.53/66.37 | (101) all_4_64 = n5
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (27), (92), (101) imply:
% 260.53/66.37 | (102) sum(n5, n5) = all_4_96
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (58), (99), (100) imply:
% 260.53/66.37 | (103) sum(n5, n5) = all_4_97
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with n10, all_4_96, n5, n5, simplifying with
% 260.53/66.37 | (43), (102) gives:
% 260.53/66.37 | (104) all_4_96 = n10
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_97, all_4_96, n5, n5, simplifying
% 260.53/66.37 | with (102), (103) gives:
% 260.53/66.37 | (105) all_4_96 = all_4_97
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (104), (105) imply:
% 260.53/66.37 | (106) all_4_97 = n10
% 260.53/66.37 |
% 260.53/66.37 | SIMP: (106) implies:
% 260.53/66.37 | (107) all_4_97 = n10
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (33), (104) imply:
% 260.53/66.37 | (108) pred(n10) = all_4_60
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (30), (107) imply:
% 260.53/66.37 | (109) pred(n10) = all_4_63
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (34), (104) imply:
% 260.53/66.37 | (110) succ(n10) = all_4_62
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (65), (107) imply:
% 260.53/66.37 | (111) succ(n10) = all_4_59
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (29) with n0, all_4_59, n10, simplifying with (28),
% 260.53/66.37 | (111) gives:
% 260.53/66.37 | (112) all_4_59 = n0
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (29) with all_4_62, all_4_59, n10, simplifying with
% 260.53/66.37 | (110), (111) gives:
% 260.53/66.37 | (113) all_4_59 = all_4_62
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (70) with n9, all_4_60, n10, simplifying with (57),
% 260.53/66.37 | (108) gives:
% 260.53/66.37 | (114) all_4_60 = n9
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (70) with all_4_63, all_4_60, n10, simplifying with
% 260.53/66.37 | (108), (109) gives:
% 260.53/66.37 | (115) all_4_60 = all_4_63
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (112), (113) imply:
% 260.53/66.37 | (116) all_4_62 = n0
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (114), (115) imply:
% 260.53/66.37 | (117) all_4_63 = n9
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (42), (112), (114) imply:
% 260.53/66.37 | (118) sum(n9, n0) = all_4_58
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (9), (114), (116) imply:
% 260.53/66.37 | (119) sum(n9, n0) = all_4_56
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (13), (112), (117) imply:
% 260.53/66.37 | (120) sum(n9, n0) = all_4_57
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (14), (116), (117) imply:
% 260.53/66.37 | (121) sum(n9, n0) = all_4_61
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with n9, all_4_57, n0, n9, simplifying with
% 260.53/66.37 | (6), (120) gives:
% 260.53/66.37 | (122) all_4_57 = n9
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_58, all_4_57, n0, n9, simplifying
% 260.53/66.37 | with (118), (120) gives:
% 260.53/66.37 | (123) all_4_57 = all_4_58
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_57, all_4_56, n0, n9, simplifying
% 260.53/66.37 | with (119), (120) gives:
% 260.53/66.37 | (124) all_4_56 = all_4_57
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_61, all_4_56, n0, n9, simplifying
% 260.53/66.37 | with (119), (121) gives:
% 260.53/66.37 | (125) all_4_56 = all_4_61
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (124), (125) imply:
% 260.53/66.37 | (126) all_4_57 = all_4_61
% 260.53/66.37 |
% 260.53/66.37 | SIMP: (126) implies:
% 260.53/66.37 | (127) all_4_57 = all_4_61
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (122), (123) imply:
% 260.53/66.37 | (128) all_4_58 = n9
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (123), (127) imply:
% 260.53/66.37 | (129) all_4_58 = all_4_61
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (128), (129) imply:
% 260.53/66.37 | (130) all_4_61 = n9
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (125), (130) imply:
% 260.53/66.37 | (131) all_4_56 = n9
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (21), (122), (131) imply:
% 260.53/66.37 | (132) sum(n9, n9) = all_4_94
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (67), (128), (130) imply:
% 260.53/66.37 | (133) sum(n9, n9) = all_4_95
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with n7, all_4_94, n9, n9, simplifying with
% 260.53/66.37 | (53), (132) gives:
% 260.53/66.37 | (134) all_4_94 = n7
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_95, all_4_94, n9, n9, simplifying
% 260.53/66.37 | with (132), (133) gives:
% 260.53/66.37 | (135) all_4_94 = all_4_95
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (134), (135) imply:
% 260.53/66.37 | (136) all_4_95 = n7
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (76), (134) imply:
% 260.53/66.37 | (137) pred(n7) = all_4_52
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (4), (136) imply:
% 260.53/66.37 | (138) pred(n7) = all_4_55
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (15), (134) imply:
% 260.53/66.37 | (139) succ(n7) = all_4_54
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (1), (136) imply:
% 260.53/66.37 | (140) succ(n7) = all_4_51
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (29) with n8, all_4_51, n7, simplifying with (38),
% 260.53/66.37 | (140) gives:
% 260.53/66.37 | (141) all_4_51 = n8
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (29) with all_4_54, all_4_51, n7, simplifying with
% 260.53/66.37 | (139), (140) gives:
% 260.53/66.37 | (142) all_4_51 = all_4_54
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (70) with n6, all_4_52, n7, simplifying with (36),
% 260.53/66.37 | (137) gives:
% 260.53/66.37 | (143) all_4_52 = n6
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (70) with all_4_55, all_4_52, n7, simplifying with
% 260.53/66.37 | (137), (138) gives:
% 260.53/66.37 | (144) all_4_52 = all_4_55
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (141), (142) imply:
% 260.53/66.37 | (145) all_4_54 = n8
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (143), (144) imply:
% 260.53/66.37 | (146) all_4_55 = n6
% 260.53/66.37 |
% 260.53/66.37 | SIMP: (146) implies:
% 260.53/66.37 | (147) all_4_55 = n6
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (72), (141), (143) imply:
% 260.53/66.37 | (148) sum(n6, n8) = all_4_50
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (7), (143), (145) imply:
% 260.53/66.37 | (149) sum(n6, n8) = all_4_48
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (35), (141), (147) imply:
% 260.53/66.37 | (150) sum(n6, n8) = all_4_49
% 260.53/66.37 |
% 260.53/66.37 | REDUCE: (11), (145), (147) imply:
% 260.53/66.37 | (151) sum(n6, n8) = all_4_53
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with n3, all_4_49, n8, n6, simplifying with
% 260.53/66.37 | (20), (150) gives:
% 260.53/66.37 | (152) all_4_49 = n3
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_50, all_4_49, n8, n6, simplifying
% 260.53/66.37 | with (148), (150) gives:
% 260.53/66.37 | (153) all_4_49 = all_4_50
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_49, all_4_48, n8, n6, simplifying
% 260.53/66.37 | with (149), (150) gives:
% 260.53/66.37 | (154) all_4_48 = all_4_49
% 260.53/66.37 |
% 260.53/66.37 | GROUND_INST: instantiating (51) with all_4_53, all_4_48, n8, n6, simplifying
% 260.53/66.37 | with (149), (151) gives:
% 260.53/66.37 | (155) all_4_48 = all_4_53
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (154), (155) imply:
% 260.53/66.37 | (156) all_4_49 = all_4_53
% 260.53/66.37 |
% 260.53/66.37 | SIMP: (156) implies:
% 260.53/66.37 | (157) all_4_49 = all_4_53
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (152), (153) imply:
% 260.53/66.37 | (158) all_4_50 = n3
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (153), (157) imply:
% 260.53/66.37 | (159) all_4_50 = all_4_53
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (158), (159) imply:
% 260.53/66.37 | (160) all_4_53 = n3
% 260.53/66.37 |
% 260.53/66.37 | COMBINE_EQS: (155), (160) imply:
% 260.53/66.37 | (161) all_4_48 = n3
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (68), (152), (161) imply:
% 260.69/66.37 | (162) sum(n3, n3) = all_4_92
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (73), (158), (160) imply:
% 260.69/66.37 | (163) sum(n3, n3) = all_4_93
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with n6, all_4_92, n3, n3, simplifying with
% 260.69/66.37 | (8), (162) gives:
% 260.69/66.37 | (164) all_4_92 = n6
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with all_4_93, all_4_92, n3, n3, simplifying
% 260.69/66.37 | with (162), (163) gives:
% 260.69/66.37 | (165) all_4_92 = all_4_93
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (164), (165) imply:
% 260.69/66.37 | (166) all_4_93 = n6
% 260.69/66.37 |
% 260.69/66.37 | SIMP: (166) implies:
% 260.69/66.37 | (167) all_4_93 = n6
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (25), (164) imply:
% 260.69/66.37 | (168) pred(n6) = all_4_44
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (40), (167) imply:
% 260.69/66.37 | (169) pred(n6) = all_4_47
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (3), (164) imply:
% 260.69/66.37 | (170) succ(n6) = all_4_46
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (74), (167) imply:
% 260.69/66.37 | (171) succ(n6) = all_4_43
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (29) with n7, all_4_43, n6, simplifying with (48),
% 260.69/66.37 | (171) gives:
% 260.69/66.37 | (172) all_4_43 = n7
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (29) with all_4_46, all_4_43, n6, simplifying with
% 260.69/66.37 | (170), (171) gives:
% 260.69/66.37 | (173) all_4_43 = all_4_46
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (70) with n5, all_4_44, n6, simplifying with (32),
% 260.69/66.37 | (168) gives:
% 260.69/66.37 | (174) all_4_44 = n5
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (70) with all_4_47, all_4_44, n6, simplifying with
% 260.69/66.37 | (168), (169) gives:
% 260.69/66.37 | (175) all_4_44 = all_4_47
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (172), (173) imply:
% 260.69/66.37 | (176) all_4_46 = n7
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (174), (175) imply:
% 260.69/66.37 | (177) all_4_47 = n5
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (56), (172), (174) imply:
% 260.69/66.37 | (178) sum(n5, n7) = all_4_42
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (5), (174), (176) imply:
% 260.69/66.37 | (179) sum(n5, n7) = all_4_40
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (23), (172), (177) imply:
% 260.69/66.37 | (180) sum(n5, n7) = all_4_41
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (39), (176), (177) imply:
% 260.69/66.37 | (181) sum(n5, n7) = all_4_45
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with n1, all_4_41, n7, n5, simplifying with
% 260.69/66.37 | (26), (180) gives:
% 260.69/66.37 | (182) all_4_41 = n1
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with all_4_42, all_4_41, n7, n5, simplifying
% 260.69/66.37 | with (178), (180) gives:
% 260.69/66.37 | (183) all_4_41 = all_4_42
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with all_4_41, all_4_40, n7, n5, simplifying
% 260.69/66.37 | with (179), (180) gives:
% 260.69/66.37 | (184) all_4_40 = all_4_41
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with all_4_45, all_4_40, n7, n5, simplifying
% 260.69/66.37 | with (179), (181) gives:
% 260.69/66.37 | (185) all_4_40 = all_4_45
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (184), (185) imply:
% 260.69/66.37 | (186) all_4_41 = all_4_45
% 260.69/66.37 |
% 260.69/66.37 | SIMP: (186) implies:
% 260.69/66.37 | (187) all_4_41 = all_4_45
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (182), (183) imply:
% 260.69/66.37 | (188) all_4_42 = n1
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (183), (187) imply:
% 260.69/66.37 | (189) all_4_42 = all_4_45
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (188), (189) imply:
% 260.69/66.37 | (190) all_4_45 = n1
% 260.69/66.37 |
% 260.69/66.37 | SIMP: (190) implies:
% 260.69/66.37 | (191) all_4_45 = n1
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (185), (191) imply:
% 260.69/66.37 | (192) all_4_40 = n1
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (45), (182), (192) imply:
% 260.69/66.37 | (193) sum(n1, n1) = all_4_90
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (52), (188), (191) imply:
% 260.69/66.37 | (194) sum(n1, n1) = all_4_91
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with n2, all_4_90, n1, n1, simplifying with
% 260.69/66.37 | (71), (193) gives:
% 260.69/66.37 | (195) all_4_90 = n2
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (51) with all_4_91, all_4_90, n1, n1, simplifying
% 260.69/66.37 | with (193), (194) gives:
% 260.69/66.37 | (196) all_4_90 = all_4_91
% 260.69/66.37 |
% 260.69/66.37 | COMBINE_EQS: (195), (196) imply:
% 260.69/66.37 | (197) all_4_91 = n2
% 260.69/66.37 |
% 260.69/66.37 | SIMP: (197) implies:
% 260.69/66.37 | (198) all_4_91 = n2
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (63), (195) imply:
% 260.69/66.37 | (199) pred(n2) = all_4_36
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (24), (198) imply:
% 260.69/66.37 | (200) pred(n2) = all_4_39
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (19), (195) imply:
% 260.69/66.37 | (201) succ(n2) = all_4_38
% 260.69/66.37 |
% 260.69/66.37 | REDUCE: (2), (198) imply:
% 260.69/66.37 | (202) succ(n2) = all_4_35
% 260.69/66.37 |
% 260.69/66.37 | GROUND_INST: instantiating (29) with n3, all_4_35, n2, simplifying with (46),
% 260.69/66.37 | (202) gives:
% 260.69/66.37 | (203) all_4_35 = n3
% 260.69/66.37 |
% 260.69/66.37 | REF_CLOSE: (12), (16), (22), (29), (37), (50), (51), (54), (60), (66), (69),
% 260.69/66.37 | (70), (81), (199), (200), (201), (202), (203) are inconsistent by
% 260.69/66.37 | sub-proof #139.
% 260.69/66.37 |
% 260.69/66.37 End of proof
% 260.69/66.37
% 260.69/66.37 Sub-proof #23 shows that the following formulas are inconsistent:
% 260.69/66.37 ----------------------------------------------------------------
% 260.69/66.37 (1) succ(all_4_95) = all_4_51
% 260.69/66.37 (2) succ(all_4_91) = all_4_35
% 260.69/66.37 (3) succ(all_4_92) = all_4_46
% 260.69/66.37 (4) pred(all_4_95) = all_4_55
% 260.69/66.37 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.69/66.37 (6) sum(n9, n0) = n9
% 260.69/66.37 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.69/66.37 (8) sum(n3, n3) = n6
% 260.69/66.37 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.69/66.37 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.69/66.37 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.69/66.37 (12) ~ (all_4_88 = all_4_89)
% 260.69/66.37 (13) sum(all_4_63, all_4_59) = all_4_57
% 260.69/66.37 (14) sum(all_4_63, all_4_62) = all_4_61
% 260.69/66.37 (15) succ(all_4_94) = all_4_54
% 260.69/66.37 (16) sum(all_4_37, all_4_34) = all_4_89
% 260.69/66.37 (17) pred(n8) = n7
% 260.69/66.37 (18) pred(all_4_99) = all_4_71
% 260.69/66.37 (19) succ(all_4_90) = all_4_38
% 260.69/66.37 (20) sum(n6, n8) = n3
% 260.69/66.37 (21) sum(all_4_57, all_4_56) = all_4_94
% 260.69/66.37 (22) sum(all_4_33, all_4_32) = all_4_88
% 260.69/66.37 (23) sum(all_4_47, all_4_43) = all_4_41
% 260.69/66.37 (24) all_4_99 = n10
% 260.69/66.37 (25) pred(all_4_91) = all_4_39
% 260.69/66.37 (26) pred(all_4_92) = all_4_44
% 260.69/66.37 (27) sum(n5, n7) = n1
% 260.69/66.37 (28) sum(all_4_65, all_4_64) = all_4_96
% 260.69/66.37 (29) succ(n10) = n0
% 260.69/66.37 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.69/66.37 | ~ (succ(v2) = v0))
% 260.69/66.37 (31) pred(all_4_97) = all_4_63
% 260.69/66.37 (32) succ(all_4_99) = all_4_67
% 260.69/66.37 (33) pred(n6) = n5
% 260.69/66.37 (34) pred(all_4_96) = all_4_60
% 260.69/66.37 (35) succ(all_4_96) = all_4_62
% 260.69/66.37 (36) sum(all_4_55, all_4_51) = all_4_49
% 260.69/66.37 (37) pred(n7) = n6
% 260.69/66.37 (38) sum(all_4_36, all_4_35) = all_4_34
% 260.69/66.37 (39) succ(n7) = n8
% 260.69/66.37 (40) sum(all_4_47, all_4_46) = all_4_45
% 260.69/66.37 (41) pred(all_4_93) = all_4_47
% 260.69/66.37 (42) sum(all_4_71, all_4_67) = all_4_65
% 260.69/66.37 (43) sum(n5, n5) = all_4_99
% 260.69/66.37 (44) sum(all_4_60, all_4_59) = all_4_58
% 260.69/66.37 (45) all_4_98 = n10
% 260.69/66.37 (46) sum(all_4_41, all_4_40) = all_4_90
% 260.69/66.37 (47) succ(n2) = n3
% 260.69/66.37 (48) sum(all_4_68, all_4_67) = all_4_66
% 260.69/66.37 (49) succ(n6) = n7
% 260.69/66.37 (50) succ(n8) = n9
% 260.69/66.37 (51) sum(all_4_39, all_4_35) = all_4_33
% 260.69/66.37 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.69/66.37 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.69/66.37 (53) sum(all_4_45, all_4_42) = all_4_91
% 260.69/66.37 (54) sum(n9, n9) = n7
% 260.69/66.37 (55) sum(all_4_39, all_4_38) = all_4_37
% 260.69/66.37 (56) sum(all_4_44, all_4_43) = all_4_42
% 260.69/66.37 (57) pred(n10) = n9
% 260.69/66.37 (58) sum(all_4_69, all_4_66) = all_4_97
% 260.69/66.37 (59) sum(n7, n9) = n5
% 260.69/66.37 (60) pred(n2) = n1
% 260.69/66.37 (61) succ(all_4_98) = all_4_70
% 260.69/66.37 (62) pred(all_4_90) = all_4_36
% 260.69/66.37 (63) sum(n4, n4) = n8
% 260.69/66.37 (64) sum(all_4_68, all_4_70) = all_4_64
% 260.69/66.37 (65) succ(all_4_97) = all_4_59
% 260.69/66.37 (66) sum(all_4_36, all_4_38) = all_4_32
% 260.69/66.37 (67) sum(all_4_61, all_4_58) = all_4_95
% 260.69/66.37 (68) sum(all_4_49, all_4_48) = all_4_92
% 260.69/66.37 (69) sum(n1, n3) = n4
% 260.69/66.37 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.69/66.37 | ~ (pred(v2) = v0))
% 260.69/66.37 (71) sum(n1, n1) = n2
% 260.69/66.37 (72) sum(all_4_52, all_4_51) = all_4_50
% 260.69/66.37 (73) sum(all_4_53, all_4_50) = all_4_93
% 260.69/66.37 (74) succ(all_4_93) = all_4_43
% 260.69/66.37 (75) pred(all_4_98) = all_4_68
% 260.69/66.37 (76) pred(all_4_94) = all_4_52
% 260.69/66.37
% 260.69/66.37 Begin of proof
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (45), (75) imply:
% 260.69/66.38 | (77) pred(n10) = all_4_68
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (18), (24) imply:
% 260.69/66.38 | (78) pred(n10) = all_4_71
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (45), (61) imply:
% 260.69/66.38 | (79) succ(n10) = all_4_70
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (24), (32) imply:
% 260.69/66.38 | (80) succ(n10) = all_4_67
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (24), (43) imply:
% 260.69/66.38 | (81) sum(n5, n5) = n10
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with n0, all_4_67, n10, simplifying with (29),
% 260.69/66.38 | (80) gives:
% 260.69/66.38 | (82) all_4_67 = n0
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with all_4_70, all_4_67, n10, simplifying with
% 260.69/66.38 | (79), (80) gives:
% 260.69/66.38 | (83) all_4_67 = all_4_70
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with n9, all_4_68, n10, simplifying with (57),
% 260.69/66.38 | (77) gives:
% 260.69/66.38 | (84) all_4_68 = n9
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with all_4_71, all_4_68, n10, simplifying with
% 260.69/66.38 | (77), (78) gives:
% 260.69/66.38 | (85) all_4_68 = all_4_71
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (82), (83) imply:
% 260.69/66.38 | (86) all_4_70 = n0
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (84), (85) imply:
% 260.69/66.38 | (87) all_4_71 = n9
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (48), (82), (84) imply:
% 260.69/66.38 | (88) sum(n9, n0) = all_4_66
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (64), (84), (86) imply:
% 260.69/66.38 | (89) sum(n9, n0) = all_4_64
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (42), (82), (87) imply:
% 260.69/66.38 | (90) sum(n9, n0) = all_4_65
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (10), (86), (87) imply:
% 260.69/66.38 | (91) sum(n9, n0) = all_4_69
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n9, all_4_65, n0, n9, simplifying with
% 260.69/66.38 | (6), (90) gives:
% 260.69/66.38 | (92) all_4_65 = n9
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_66, all_4_65, n0, n9, simplifying
% 260.69/66.38 | with (88), (90) gives:
% 260.69/66.38 | (93) all_4_65 = all_4_66
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_66, all_4_64, n0, n9, simplifying
% 260.69/66.38 | with (88), (89) gives:
% 260.69/66.38 | (94) all_4_64 = all_4_66
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_69, all_4_64, n0, n9, simplifying
% 260.69/66.38 | with (89), (91) gives:
% 260.69/66.38 | (95) all_4_64 = all_4_69
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (94), (95) imply:
% 260.69/66.38 | (96) all_4_66 = all_4_69
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (96) implies:
% 260.69/66.38 | (97) all_4_66 = all_4_69
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (92), (93) imply:
% 260.69/66.38 | (98) all_4_66 = n9
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (98) implies:
% 260.69/66.38 | (99) all_4_66 = n9
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (97), (99) imply:
% 260.69/66.38 | (100) all_4_69 = n9
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (95), (100) imply:
% 260.69/66.38 | (101) all_4_64 = n9
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (28), (92), (101) imply:
% 260.69/66.38 | (102) sum(n9, n9) = all_4_96
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (58), (99), (100) imply:
% 260.69/66.38 | (103) sum(n9, n9) = all_4_97
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n7, all_4_96, n9, n9, simplifying with
% 260.69/66.38 | (54), (102) gives:
% 260.69/66.38 | (104) all_4_96 = n7
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_97, all_4_96, n9, n9, simplifying
% 260.69/66.38 | with (102), (103) gives:
% 260.69/66.38 | (105) all_4_96 = all_4_97
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (104), (105) imply:
% 260.69/66.38 | (106) all_4_97 = n7
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (106) implies:
% 260.69/66.38 | (107) all_4_97 = n7
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (34), (104) imply:
% 260.69/66.38 | (108) pred(n7) = all_4_60
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (31), (107) imply:
% 260.69/66.38 | (109) pred(n7) = all_4_63
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (35), (104) imply:
% 260.69/66.38 | (110) succ(n7) = all_4_62
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (65), (107) imply:
% 260.69/66.38 | (111) succ(n7) = all_4_59
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with n8, all_4_59, n7, simplifying with (39),
% 260.69/66.38 | (111) gives:
% 260.69/66.38 | (112) all_4_59 = n8
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with all_4_62, all_4_59, n7, simplifying with
% 260.69/66.38 | (110), (111) gives:
% 260.69/66.38 | (113) all_4_59 = all_4_62
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with n6, all_4_60, n7, simplifying with (37),
% 260.69/66.38 | (108) gives:
% 260.69/66.38 | (114) all_4_60 = n6
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with all_4_63, all_4_60, n7, simplifying with
% 260.69/66.38 | (108), (109) gives:
% 260.69/66.38 | (115) all_4_60 = all_4_63
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (112), (113) imply:
% 260.69/66.38 | (116) all_4_62 = n8
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (114), (115) imply:
% 260.69/66.38 | (117) all_4_63 = n6
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (44), (112), (114) imply:
% 260.69/66.38 | (118) sum(n6, n8) = all_4_58
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (9), (114), (116) imply:
% 260.69/66.38 | (119) sum(n6, n8) = all_4_56
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (13), (112), (117) imply:
% 260.69/66.38 | (120) sum(n6, n8) = all_4_57
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (14), (116), (117) imply:
% 260.69/66.38 | (121) sum(n6, n8) = all_4_61
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n3, all_4_57, n8, n6, simplifying with
% 260.69/66.38 | (20), (120) gives:
% 260.69/66.38 | (122) all_4_57 = n3
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_58, all_4_57, n8, n6, simplifying
% 260.69/66.38 | with (118), (120) gives:
% 260.69/66.38 | (123) all_4_57 = all_4_58
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_57, all_4_56, n8, n6, simplifying
% 260.69/66.38 | with (119), (120) gives:
% 260.69/66.38 | (124) all_4_56 = all_4_57
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_61, all_4_56, n8, n6, simplifying
% 260.69/66.38 | with (119), (121) gives:
% 260.69/66.38 | (125) all_4_56 = all_4_61
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (124), (125) imply:
% 260.69/66.38 | (126) all_4_57 = all_4_61
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (126) implies:
% 260.69/66.38 | (127) all_4_57 = all_4_61
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (122), (123) imply:
% 260.69/66.38 | (128) all_4_58 = n3
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (123), (127) imply:
% 260.69/66.38 | (129) all_4_58 = all_4_61
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (128), (129) imply:
% 260.69/66.38 | (130) all_4_61 = n3
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (125), (130) imply:
% 260.69/66.38 | (131) all_4_56 = n3
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (21), (122), (131) imply:
% 260.69/66.38 | (132) sum(n3, n3) = all_4_94
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (67), (128), (130) imply:
% 260.69/66.38 | (133) sum(n3, n3) = all_4_95
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n6, all_4_94, n3, n3, simplifying with
% 260.69/66.38 | (8), (132) gives:
% 260.69/66.38 | (134) all_4_94 = n6
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_95, all_4_94, n3, n3, simplifying
% 260.69/66.38 | with (132), (133) gives:
% 260.69/66.38 | (135) all_4_94 = all_4_95
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (134), (135) imply:
% 260.69/66.38 | (136) all_4_95 = n6
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (76), (134) imply:
% 260.69/66.38 | (137) pred(n6) = all_4_52
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (4), (136) imply:
% 260.69/66.38 | (138) pred(n6) = all_4_55
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (15), (134) imply:
% 260.69/66.38 | (139) succ(n6) = all_4_54
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (1), (136) imply:
% 260.69/66.38 | (140) succ(n6) = all_4_51
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with n7, all_4_51, n6, simplifying with (49),
% 260.69/66.38 | (140) gives:
% 260.69/66.38 | (141) all_4_51 = n7
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with all_4_54, all_4_51, n6, simplifying with
% 260.69/66.38 | (139), (140) gives:
% 260.69/66.38 | (142) all_4_51 = all_4_54
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with n5, all_4_52, n6, simplifying with (33),
% 260.69/66.38 | (137) gives:
% 260.69/66.38 | (143) all_4_52 = n5
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with all_4_55, all_4_52, n6, simplifying with
% 260.69/66.38 | (137), (138) gives:
% 260.69/66.38 | (144) all_4_52 = all_4_55
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (141), (142) imply:
% 260.69/66.38 | (145) all_4_54 = n7
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (143), (144) imply:
% 260.69/66.38 | (146) all_4_55 = n5
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (146) implies:
% 260.69/66.38 | (147) all_4_55 = n5
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (72), (141), (143) imply:
% 260.69/66.38 | (148) sum(n5, n7) = all_4_50
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (7), (143), (145) imply:
% 260.69/66.38 | (149) sum(n5, n7) = all_4_48
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (36), (141), (147) imply:
% 260.69/66.38 | (150) sum(n5, n7) = all_4_49
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (11), (145), (147) imply:
% 260.69/66.38 | (151) sum(n5, n7) = all_4_53
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n1, all_4_49, n7, n5, simplifying with
% 260.69/66.38 | (27), (150) gives:
% 260.69/66.38 | (152) all_4_49 = n1
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_50, all_4_49, n7, n5, simplifying
% 260.69/66.38 | with (148), (150) gives:
% 260.69/66.38 | (153) all_4_49 = all_4_50
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_49, all_4_48, n7, n5, simplifying
% 260.69/66.38 | with (149), (150) gives:
% 260.69/66.38 | (154) all_4_48 = all_4_49
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_53, all_4_48, n7, n5, simplifying
% 260.69/66.38 | with (149), (151) gives:
% 260.69/66.38 | (155) all_4_48 = all_4_53
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (154), (155) imply:
% 260.69/66.38 | (156) all_4_49 = all_4_53
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (156) implies:
% 260.69/66.38 | (157) all_4_49 = all_4_53
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (152), (153) imply:
% 260.69/66.38 | (158) all_4_50 = n1
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (153), (157) imply:
% 260.69/66.38 | (159) all_4_50 = all_4_53
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (158), (159) imply:
% 260.69/66.38 | (160) all_4_53 = n1
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (155), (160) imply:
% 260.69/66.38 | (161) all_4_48 = n1
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (68), (152), (161) imply:
% 260.69/66.38 | (162) sum(n1, n1) = all_4_92
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (73), (158), (160) imply:
% 260.69/66.38 | (163) sum(n1, n1) = all_4_93
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n2, all_4_92, n1, n1, simplifying with
% 260.69/66.38 | (71), (162) gives:
% 260.69/66.38 | (164) all_4_92 = n2
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_93, all_4_92, n1, n1, simplifying
% 260.69/66.38 | with (162), (163) gives:
% 260.69/66.38 | (165) all_4_92 = all_4_93
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (164), (165) imply:
% 260.69/66.38 | (166) all_4_93 = n2
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (166) implies:
% 260.69/66.38 | (167) all_4_93 = n2
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (26), (164) imply:
% 260.69/66.38 | (168) pred(n2) = all_4_44
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (41), (167) imply:
% 260.69/66.38 | (169) pred(n2) = all_4_47
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (3), (164) imply:
% 260.69/66.38 | (170) succ(n2) = all_4_46
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (74), (167) imply:
% 260.69/66.38 | (171) succ(n2) = all_4_43
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with n3, all_4_43, n2, simplifying with (47),
% 260.69/66.38 | (171) gives:
% 260.69/66.38 | (172) all_4_43 = n3
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with all_4_46, all_4_43, n2, simplifying with
% 260.69/66.38 | (170), (171) gives:
% 260.69/66.38 | (173) all_4_43 = all_4_46
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with n1, all_4_44, n2, simplifying with (60),
% 260.69/66.38 | (168) gives:
% 260.69/66.38 | (174) all_4_44 = n1
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (70) with all_4_47, all_4_44, n2, simplifying with
% 260.69/66.38 | (168), (169) gives:
% 260.69/66.38 | (175) all_4_44 = all_4_47
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (172), (173) imply:
% 260.69/66.38 | (176) all_4_46 = n3
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (174), (175) imply:
% 260.69/66.38 | (177) all_4_47 = n1
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (56), (172), (174) imply:
% 260.69/66.38 | (178) sum(n1, n3) = all_4_42
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (5), (174), (176) imply:
% 260.69/66.38 | (179) sum(n1, n3) = all_4_40
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (23), (172), (177) imply:
% 260.69/66.38 | (180) sum(n1, n3) = all_4_41
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (40), (176), (177) imply:
% 260.69/66.38 | (181) sum(n1, n3) = all_4_45
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n4, all_4_41, n3, n1, simplifying with
% 260.69/66.38 | (69), (180) gives:
% 260.69/66.38 | (182) all_4_41 = n4
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_42, all_4_41, n3, n1, simplifying
% 260.69/66.38 | with (178), (180) gives:
% 260.69/66.38 | (183) all_4_41 = all_4_42
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_41, all_4_40, n3, n1, simplifying
% 260.69/66.38 | with (179), (180) gives:
% 260.69/66.38 | (184) all_4_40 = all_4_41
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_45, all_4_40, n3, n1, simplifying
% 260.69/66.38 | with (179), (181) gives:
% 260.69/66.38 | (185) all_4_40 = all_4_45
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (184), (185) imply:
% 260.69/66.38 | (186) all_4_41 = all_4_45
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (186) implies:
% 260.69/66.38 | (187) all_4_41 = all_4_45
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (182), (183) imply:
% 260.69/66.38 | (188) all_4_42 = n4
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (183), (187) imply:
% 260.69/66.38 | (189) all_4_42 = all_4_45
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (188), (189) imply:
% 260.69/66.38 | (190) all_4_45 = n4
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (190) implies:
% 260.69/66.38 | (191) all_4_45 = n4
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (185), (191) imply:
% 260.69/66.38 | (192) all_4_40 = n4
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (46), (182), (192) imply:
% 260.69/66.38 | (193) sum(n4, n4) = all_4_90
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (53), (188), (191) imply:
% 260.69/66.38 | (194) sum(n4, n4) = all_4_91
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with n8, all_4_90, n4, n4, simplifying with
% 260.69/66.38 | (63), (193) gives:
% 260.69/66.38 | (195) all_4_90 = n8
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (52) with all_4_91, all_4_90, n4, n4, simplifying
% 260.69/66.38 | with (193), (194) gives:
% 260.69/66.38 | (196) all_4_90 = all_4_91
% 260.69/66.38 |
% 260.69/66.38 | COMBINE_EQS: (195), (196) imply:
% 260.69/66.38 | (197) all_4_91 = n8
% 260.69/66.38 |
% 260.69/66.38 | SIMP: (197) implies:
% 260.69/66.38 | (198) all_4_91 = n8
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (62), (195) imply:
% 260.69/66.38 | (199) pred(n8) = all_4_36
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (25), (198) imply:
% 260.69/66.38 | (200) pred(n8) = all_4_39
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (19), (195) imply:
% 260.69/66.38 | (201) succ(n8) = all_4_38
% 260.69/66.38 |
% 260.69/66.38 | REDUCE: (2), (198) imply:
% 260.69/66.38 | (202) succ(n8) = all_4_35
% 260.69/66.38 |
% 260.69/66.38 | GROUND_INST: instantiating (30) with n9, all_4_35, n8, simplifying with (50),
% 260.69/66.38 | (202) gives:
% 260.69/66.38 | (203) all_4_35 = n9
% 260.69/66.38 |
% 260.69/66.38 | REF_CLOSE: (12), (16), (17), (22), (30), (38), (51), (52), (55), (59), (66),
% 260.69/66.38 | (70), (81), (199), (200), (201), (202), (203) are inconsistent by
% 260.69/66.38 | sub-proof #140.
% 260.69/66.38 |
% 260.69/66.38 End of proof
% 260.69/66.38
% 260.69/66.38 Sub-proof #24 shows that the following formulas are inconsistent:
% 260.69/66.38 ----------------------------------------------------------------
% 260.69/66.38 (1) succ(all_4_95) = all_4_51
% 260.69/66.38 (2) succ(n1) = n2
% 260.69/66.38 (3) sum(n4, n6) = n10
% 260.69/66.38 (4) sum(n2, n2) = n4
% 260.69/66.38 (5) pred(all_4_95) = all_4_55
% 260.69/66.38 (6) sum(all_4_76, all_4_78) = all_4_72
% 260.69/66.38 (7) succ(n9) = n10
% 260.69/66.38 (8) sum(n1, n0) = n1
% 260.69/66.38 (9) sum(all_4_52, all_4_54) = all_4_48
% 260.69/66.38 (10) sum(n3, n3) = n6
% 260.69/66.38 (11) sum(all_4_60, all_4_62) = all_4_56
% 260.69/66.38 (12) sum(all_4_71, all_4_70) = all_4_69
% 260.69/66.38 (13) sum(all_4_55, all_4_54) = all_4_53
% 260.69/66.38 (14) sum(n5, n2) = n7
% 260.69/66.38 (15) sum(n2, n4) = n6
% 260.69/66.38 (16) sum(all_4_63, all_4_59) = all_4_57
% 260.69/66.38 (17) sum(all_4_63, all_4_62) = all_4_61
% 260.69/66.38 (18) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.69/66.38 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.69/66.38 (19) succ(all_4_94) = all_4_54
% 260.69/66.38 (20) sum(n5, n3) = n8
% 260.69/66.38 (21) sum(n10, n1) = n0
% 260.69/66.38 (22) sum(n5, all_4_78) = all_4_77
% 260.69/66.38 (23) sum(n8, n8) = n5
% 260.69/66.38 (24) sum(n10, n7) = n6
% 260.69/66.38 (25) pred(all_4_99) = all_4_71
% 260.69/66.38 (26) sum(n6, n8) = n3
% 260.69/66.38 (27) succ(n0) = n1
% 260.69/66.38 (28) sum(n8, n10) = n7
% 260.69/66.38 (29) sum(all_4_57, all_4_56) = all_4_94
% 260.69/66.38 (30) sum(n0, n2) = n2
% 260.69/66.38 (31) sum(n3, n5) = n8
% 260.69/66.38 (32) sum(n10, n10) = n9
% 260.69/66.38 (33) pred(n5) = n4
% 260.69/66.38 (34) all_4_100 = n3 | all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.69/66.38 (35) sum(n5, n7) = n1
% 260.69/66.38 (36) sum(all_4_65, all_4_64) = all_4_96
% 260.69/66.38 (37) pred(n4) = n3
% 260.69/66.38 (38) succ(all_4_100) = all_4_78
% 260.69/66.38 (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.69/66.38 | ~ (succ(v2) = v0))
% 260.69/66.38 (40) pred(all_4_97) = all_4_63
% 260.69/66.38 (41) succ(all_4_99) = all_4_67
% 260.69/66.38 (42) sum(n5, n4) = n9
% 260.69/66.38 (43) pred(n9) = n8
% 260.69/66.38 (44) succ(n3) = n4
% 260.69/66.38 (45) pred(n6) = n5
% 260.69/66.38 (46) pred(all_4_96) = all_4_60
% 260.69/66.38 (47) succ(all_4_96) = all_4_62
% 260.69/66.38 (48) pred(n3) = n2
% 260.69/66.38 (49) sum(n1, n2) = n3
% 260.69/66.38 (50) sum(all_4_55, all_4_51) = all_4_49
% 260.69/66.38 (51) pred(n7) = n6
% 260.69/66.38 (52) succ(n7) = n8
% 260.69/66.38 (53) sum(all_4_71, all_4_67) = all_4_65
% 260.69/66.38 (54) sum(n1, n7) = n8
% 260.69/66.38 (55) sum(all_4_60, all_4_59) = all_4_58
% 260.69/66.38 (56) succ(n2) = n3
% 260.69/66.38 (57) sum(all_4_68, all_4_67) = all_4_66
% 260.69/66.38 (58) sum(n0, n7) = n7
% 260.69/66.38 (59) succ(n6) = n7
% 260.69/66.38 (60) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.69/66.38 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.69/66.38 (61) sum(n9, n9) = n7
% 260.69/66.38 (62) sum(n6, n6) = n1
% 260.69/66.38 (63) sum(n1, n4) = n5
% 260.69/66.38 (64) succ(n5) = n6
% 260.69/66.38 (65) sum(all_4_69, all_4_66) = all_4_97
% 260.69/66.38 (66) succ(n4) = n5
% 260.69/66.38 (67) sum(n1, n6) = n7
% 260.69/66.38 (68) sum(n2, n7) = n9
% 260.69/66.38 (69) pred(n2) = n1
% 260.69/66.38 (70) succ(all_4_98) = all_4_70
% 260.69/66.38 (71) sum(n5, n1) = n6
% 260.69/66.38 (72) sum(all_4_76, n7) = all_4_74
% 260.69/66.38 (73) sum(n4, n4) = n8
% 260.69/66.38 (74) pred(n1) = n0
% 260.69/66.38 (75) sum(all_4_68, all_4_70) = all_4_64
% 260.69/66.38 (76) succ(all_4_97) = all_4_59
% 260.69/66.38 (77) sum(all_4_77, all_4_74) = all_4_99
% 260.69/66.38 (78) sum(all_4_61, all_4_58) = all_4_95
% 260.69/66.38 (79) sum(n7, n7) = n3
% 260.69/66.38 (80) sum(n1, all_4_72) = all_4_98
% 260.69/66.38 (81) pred(all_4_100) = all_4_76
% 260.69/66.38 (82) sum(all_4_49, all_4_48) = all_4_92
% 260.69/66.38 (83) sum(n1, n3) = n4
% 260.69/66.38 (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.69/66.38 | ~ (pred(v2) = v0))
% 260.69/66.38 (85) sum(n1, n1) = n2
% 260.69/66.38 (86) sum(all_4_52, all_4_51) = all_4_50
% 260.69/66.38 (87) sum(all_4_53, all_4_50) = all_4_93
% 260.69/66.38 (88) pred(all_4_98) = all_4_68
% 260.69/66.38 (89) pred(n0) = n10
% 260.69/66.38 (90) pred(all_4_94) = all_4_52
% 260.69/66.38
% 260.69/66.38 Begin of proof
% 260.69/66.38 |
% 260.69/66.38 | BETA: splitting (34) gives:
% 260.69/66.38 |
% 260.69/66.38 | Case 1:
% 260.69/66.38 | |
% 260.69/66.38 | | (91) all_4_100 = n3
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (81), (91) imply:
% 260.69/66.38 | | (92) pred(n3) = all_4_76
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (38), (91) imply:
% 260.69/66.38 | | (93) succ(n3) = all_4_78
% 260.69/66.38 | |
% 260.69/66.38 | | GROUND_INST: instantiating (39) with n4, all_4_78, n3, simplifying with
% 260.69/66.38 | | (44), (93) gives:
% 260.69/66.38 | | (94) all_4_78 = n4
% 260.69/66.38 | |
% 260.69/66.38 | | GROUND_INST: instantiating (84) with n2, all_4_76, n3, simplifying with
% 260.69/66.38 | | (48), (92) gives:
% 260.69/66.38 | | (95) all_4_76 = n2
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (6), (94), (95) imply:
% 260.69/66.38 | | (96) sum(n2, n4) = all_4_72
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (72), (95) imply:
% 260.69/66.38 | | (97) sum(n2, n7) = all_4_74
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (22), (94) imply:
% 260.69/66.38 | | (98) sum(n5, n4) = all_4_77
% 260.69/66.38 | |
% 260.69/66.38 | | GROUND_INST: instantiating (60) with n6, all_4_72, n4, n2, simplifying with
% 260.69/66.38 | | (15), (96) gives:
% 260.69/66.38 | | (99) all_4_72 = n6
% 260.69/66.38 | |
% 260.69/66.38 | | GROUND_INST: instantiating (60) with n9, all_4_74, n7, n2, simplifying with
% 260.69/66.38 | | (68), (97) gives:
% 260.69/66.38 | | (100) all_4_74 = n9
% 260.69/66.38 | |
% 260.69/66.38 | | GROUND_INST: instantiating (60) with n9, all_4_77, n4, n5, simplifying with
% 260.69/66.38 | | (42), (98) gives:
% 260.69/66.38 | | (101) all_4_77 = n9
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (77), (100), (101) imply:
% 260.69/66.38 | | (102) sum(n9, n9) = all_4_99
% 260.69/66.38 | |
% 260.69/66.38 | | REDUCE: (80), (99) imply:
% 260.69/66.38 | | (103) sum(n1, n6) = all_4_98
% 260.69/66.38 | |
% 260.69/66.38 | | GROUND_INST: instantiating (60) with n7, all_4_98, n6, n1, simplifying with
% 260.69/66.38 | | (67), (103) gives:
% 260.69/66.38 | | (104) all_4_98 = n7
% 260.69/66.38 | |
% 260.69/66.38 | | REF_CLOSE: (1), (5), (9), (10), (11), (12), (13), (16), (17), (18), (19),
% 260.69/66.38 | | (25), (26), (29), (35), (36), (39), (40), (41), (45), (46), (47),
% 260.69/66.38 | | (50), (51), (52), (53), (55), (56), (57), (59), (60), (61), (65),
% 260.69/66.38 | | (69), (70), (73), (75), (76), (78), (82), (83), (84), (85), (86),
% 260.69/66.38 | | (87), (88), (90), (102), (104) are inconsistent by sub-proof #76.
% 260.69/66.38 | |
% 260.69/66.38 | Case 2:
% 260.69/66.38 | |
% 260.69/66.38 | | (105) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.69/66.38 | |
% 260.69/66.38 | | BETA: splitting (105) gives:
% 260.69/66.38 | |
% 260.69/66.38 | | Case 1:
% 260.69/66.38 | | |
% 260.69/66.38 | | | (106) all_4_100 = n2
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (81), (106) imply:
% 260.69/66.38 | | | (107) pred(n2) = all_4_76
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (38), (106) imply:
% 260.69/66.38 | | | (108) succ(n2) = all_4_78
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (39) with n3, all_4_78, n2, simplifying with
% 260.69/66.38 | | | (56), (108) gives:
% 260.69/66.38 | | | (109) all_4_78 = n3
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (84) with n1, all_4_76, n2, simplifying with
% 260.69/66.38 | | | (69), (107) gives:
% 260.69/66.38 | | | (110) all_4_76 = n1
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (6), (109), (110) imply:
% 260.69/66.38 | | | (111) sum(n1, n3) = all_4_72
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (72), (110) imply:
% 260.69/66.38 | | | (112) sum(n1, n7) = all_4_74
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (22), (109) imply:
% 260.69/66.38 | | | (113) sum(n5, n3) = all_4_77
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (60) with n4, all_4_72, n3, n1, simplifying
% 260.69/66.38 | | | with (83), (111) gives:
% 260.69/66.38 | | | (114) all_4_72 = n4
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (60) with n8, all_4_74, n7, n1, simplifying
% 260.69/66.38 | | | with (54), (112) gives:
% 260.69/66.38 | | | (115) all_4_74 = n8
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (60) with n8, all_4_77, n3, n5, simplifying
% 260.69/66.38 | | | with (20), (113) gives:
% 260.69/66.38 | | | (116) all_4_77 = n8
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (77), (115), (116) imply:
% 260.69/66.38 | | | (117) sum(n8, n8) = all_4_99
% 260.69/66.38 | | |
% 260.69/66.38 | | | REDUCE: (80), (114) imply:
% 260.69/66.38 | | | (118) sum(n1, n4) = all_4_98
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (60) with n5, all_4_98, n4, n1, simplifying
% 260.69/66.38 | | | with (63), (118) gives:
% 260.69/66.38 | | | (119) all_4_98 = n5
% 260.69/66.38 | | |
% 260.69/66.38 | | | GROUND_INST: instantiating (60) with n5, all_4_99, n8, n8, simplifying
% 260.69/66.38 | | | with (23), (117) gives:
% 260.69/66.38 | | | (120) all_4_99 = n5
% 260.69/66.38 | | |
% 260.69/66.38 | | | REF_CLOSE: (1), (3), (5), (7), (9), (11), (12), (13), (15), (16), (17),
% 260.69/66.38 | | | (18), (19), (25), (28), (29), (32), (33), (36), (39), (40),
% 260.69/66.38 | | | (41), (43), (44), (46), (47), (48), (50), (53), (55), (57),
% 260.69/66.38 | | | (60), (62), (64), (65), (70), (75), (76), (78), (79), (82),
% 260.69/66.38 | | | (84), (86), (87), (88), (90), (119), (120) are inconsistent by
% 260.69/66.38 | | | sub-proof #27.
% 260.69/66.38 | | |
% 260.69/66.38 | | Case 2:
% 260.69/66.38 | | |
% 260.69/66.38 | | | (121) all_4_100 = n1 | all_4_100 = n0
% 260.69/66.38 | | |
% 260.69/66.38 | | | BETA: splitting (121) gives:
% 260.69/66.38 | | |
% 260.69/66.38 | | | Case 1:
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | (122) all_4_100 = n1
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | REDUCE: (81), (122) imply:
% 260.69/66.38 | | | | (123) pred(n1) = all_4_76
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | REDUCE: (38), (122) imply:
% 260.69/66.38 | | | | (124) succ(n1) = all_4_78
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | GROUND_INST: instantiating (39) with n2, all_4_78, n1, simplifying with
% 260.69/66.38 | | | | (2), (124) gives:
% 260.69/66.38 | | | | (125) all_4_78 = n2
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | GROUND_INST: instantiating (84) with n0, all_4_76, n1, simplifying with
% 260.69/66.38 | | | | (74), (123) gives:
% 260.69/66.38 | | | | (126) all_4_76 = n0
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | REDUCE: (6), (125), (126) imply:
% 260.69/66.38 | | | | (127) sum(n0, n2) = all_4_72
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | REDUCE: (72), (126) imply:
% 260.69/66.38 | | | | (128) sum(n0, n7) = all_4_74
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | REDUCE: (22), (125) imply:
% 260.69/66.38 | | | | (129) sum(n5, n2) = all_4_77
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | GROUND_INST: instantiating (60) with n2, all_4_72, n2, n0, simplifying
% 260.69/66.38 | | | | with (30), (127) gives:
% 260.69/66.38 | | | | (130) all_4_72 = n2
% 260.69/66.38 | | | |
% 260.69/66.38 | | | | GROUND_INST: instantiating (60) with n7, all_4_74, n7, n0, simplifying
% 260.69/66.39 | | | | with (58), (128) gives:
% 260.69/66.39 | | | | (131) all_4_74 = n7
% 260.69/66.39 | | | |
% 260.69/66.39 | | | | GROUND_INST: instantiating (60) with n7, all_4_77, n2, n5, simplifying
% 260.69/66.39 | | | | with (14), (129) gives:
% 260.69/66.39 | | | | (132) all_4_77 = n7
% 260.69/66.39 | | | |
% 260.69/66.39 | | | | REDUCE: (77), (131), (132) imply:
% 260.69/66.39 | | | | (133) sum(n7, n7) = all_4_99
% 260.69/66.39 | | | |
% 260.69/66.39 | | | | REDUCE: (80), (130) imply:
% 260.69/66.39 | | | | (134) sum(n1, n2) = all_4_98
% 260.69/66.39 | | | |
% 260.69/66.39 | | | | GROUND_INST: instantiating (60) with n3, all_4_98, n2, n1, simplifying
% 260.69/66.39 | | | | with (49), (134) gives:
% 260.69/66.39 | | | | (135) all_4_98 = n3
% 260.69/66.39 | | | |
% 260.69/66.39 | | | | GROUND_INST: instantiating (60) with n3, all_4_99, n7, n7, simplifying
% 260.69/66.39 | | | | with (79), (133) gives:
% 260.69/66.39 | | | | (136) all_4_99 = n3
% 260.69/66.39 | | | |
% 260.70/66.39 | | | | REF_CLOSE: (1), (2), (4), (5), (9), (11), (12), (13), (15), (16), (17),
% 260.70/66.39 | | | | (18), (19), (23), (25), (29), (30), (31), (36), (37), (39),
% 260.70/66.39 | | | | (40), (41), (44), (46), (47), (48), (50), (53), (55), (57),
% 260.70/66.39 | | | | (60), (62), (65), (66), (70), (74), (75), (76), (78), (82),
% 260.70/66.39 | | | | (84), (86), (87), (88), (90), (135), (136) are inconsistent
% 260.70/66.39 | | | | by sub-proof #26.
% 260.70/66.39 | | | |
% 260.70/66.39 | | | Case 2:
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | (137) all_4_100 = n0
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (81), (137) imply:
% 260.70/66.39 | | | | (138) pred(n0) = all_4_76
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (38), (137) imply:
% 260.70/66.39 | | | | (139) succ(n0) = all_4_78
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (39) with n1, all_4_78, n0, simplifying with
% 260.70/66.39 | | | | (27), (139) gives:
% 260.70/66.39 | | | | (140) all_4_78 = n1
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (84) with n10, all_4_76, n0, simplifying with
% 260.70/66.39 | | | | (89), (138) gives:
% 260.70/66.39 | | | | (141) all_4_76 = n10
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (6), (140), (141) imply:
% 260.70/66.39 | | | | (142) sum(n10, n1) = all_4_72
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (72), (141) imply:
% 260.70/66.39 | | | | (143) sum(n10, n7) = all_4_74
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (22), (140) imply:
% 260.70/66.39 | | | | (144) sum(n5, n1) = all_4_77
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (60) with n6, all_4_77, n1, n5, simplifying
% 260.70/66.39 | | | | with (71), (144) gives:
% 260.70/66.39 | | | | (145) all_4_77 = n6
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (60) with n0, all_4_72, n1, n10, simplifying
% 260.70/66.39 | | | | with (21), (142) gives:
% 260.70/66.39 | | | | (146) all_4_72 = n0
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (60) with n6, all_4_74, n7, n10, simplifying
% 260.70/66.39 | | | | with (24), (143) gives:
% 260.70/66.39 | | | | (147) all_4_74 = n6
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (77), (145), (147) imply:
% 260.70/66.39 | | | | (148) sum(n6, n6) = all_4_99
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REDUCE: (80), (146) imply:
% 260.70/66.39 | | | | (149) sum(n1, n0) = all_4_98
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (60) with n1, all_4_98, n0, n1, simplifying
% 260.70/66.39 | | | | with (8), (149) gives:
% 260.70/66.39 | | | | (150) all_4_98 = n1
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | GROUND_INST: instantiating (60) with n1, all_4_99, n6, n6, simplifying
% 260.70/66.39 | | | | with (62), (148) gives:
% 260.70/66.39 | | | | (151) all_4_99 = n1
% 260.70/66.39 | | | |
% 260.70/66.39 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (11), (12), (13), (16), (17),
% 260.70/66.39 | | | | (18), (19), (23), (25), (29), (30), (31), (32), (33), (36),
% 260.70/66.39 | | | | (37), (39), (40), (41), (46), (47), (50), (53), (55), (57),
% 260.70/66.39 | | | | (60), (64), (65), (66), (70), (74), (75), (76), (78), (82),
% 260.70/66.39 | | | | (84), (86), (87), (88), (90), (150), (151) are inconsistent
% 260.70/66.39 | | | | by sub-proof #25.
% 260.70/66.39 | | | |
% 260.70/66.39 | | | End of split
% 260.70/66.39 | | |
% 260.70/66.39 | | End of split
% 260.70/66.39 | |
% 260.70/66.39 | End of split
% 260.70/66.39 |
% 260.70/66.39 End of proof
% 260.70/66.39
% 260.70/66.39 Sub-proof #25 shows that the following formulas are inconsistent:
% 260.70/66.39 ----------------------------------------------------------------
% 260.70/66.39 (1) succ(all_4_95) = all_4_51
% 260.70/66.39 (2) succ(n1) = n2
% 260.70/66.39 (3) sum(n4, n6) = n10
% 260.70/66.39 (4) sum(n2, n2) = n4
% 260.70/66.39 (5) pred(all_4_95) = all_4_55
% 260.70/66.39 (6) sum(all_4_52, all_4_54) = all_4_48
% 260.70/66.39 (7) sum(all_4_60, all_4_62) = all_4_56
% 260.70/66.39 (8) sum(all_4_71, all_4_70) = all_4_69
% 260.70/66.39 (9) sum(all_4_55, all_4_54) = all_4_53
% 260.70/66.39 (10) sum(all_4_63, all_4_59) = all_4_57
% 260.70/66.39 (11) sum(all_4_63, all_4_62) = all_4_61
% 260.70/66.39 (12) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.70/66.39 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.70/66.39 (13) succ(all_4_94) = all_4_54
% 260.70/66.39 (14) sum(n8, n8) = n5
% 260.70/66.39 (15) pred(all_4_99) = all_4_71
% 260.70/66.39 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.70/66.39 (17) sum(n0, n2) = n2
% 260.70/66.39 (18) sum(n3, n5) = n8
% 260.70/66.39 (19) sum(n10, n10) = n9
% 260.70/66.39 (20) pred(n5) = n4
% 260.70/66.39 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.70/66.39 (22) pred(n4) = n3
% 260.70/66.39 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.70/66.39 | ~ (succ(v2) = v0))
% 260.70/66.39 (24) pred(all_4_97) = all_4_63
% 260.70/66.39 (25) succ(all_4_99) = all_4_67
% 260.70/66.39 (26) pred(all_4_96) = all_4_60
% 260.70/66.39 (27) succ(all_4_96) = all_4_62
% 260.70/66.39 (28) sum(all_4_55, all_4_51) = all_4_49
% 260.70/66.39 (29) sum(all_4_71, all_4_67) = all_4_65
% 260.70/66.39 (30) sum(all_4_60, all_4_59) = all_4_58
% 260.70/66.39 (31) sum(all_4_68, all_4_67) = all_4_66
% 260.70/66.39 (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.70/66.39 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.70/66.39 (33) succ(n5) = n6
% 260.70/66.39 (34) sum(all_4_69, all_4_66) = all_4_97
% 260.70/66.39 (35) succ(n4) = n5
% 260.70/66.39 (36) succ(all_4_98) = all_4_70
% 260.70/66.39 (37) all_4_99 = n1
% 260.70/66.39 (38) pred(n1) = n0
% 260.70/66.39 (39) sum(all_4_68, all_4_70) = all_4_64
% 260.70/66.39 (40) succ(all_4_97) = all_4_59
% 260.70/66.39 (41) sum(all_4_61, all_4_58) = all_4_95
% 260.70/66.39 (42) all_4_98 = n1
% 260.70/66.39 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.70/66.39 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.70/66.39 | ~ (pred(v2) = v0))
% 260.70/66.39 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.70/66.39 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.70/66.39 (47) pred(all_4_98) = all_4_68
% 260.70/66.39 (48) pred(all_4_94) = all_4_52
% 260.70/66.39
% 260.70/66.39 Begin of proof
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (42), (47) imply:
% 260.70/66.39 | (49) pred(n1) = all_4_68
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (15), (37) imply:
% 260.70/66.39 | (50) pred(n1) = all_4_71
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (36), (42) imply:
% 260.70/66.39 | (51) succ(n1) = all_4_70
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (25), (37) imply:
% 260.70/66.39 | (52) succ(n1) = all_4_67
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (23) with n2, all_4_67, n1, simplifying with (2),
% 260.70/66.39 | (52) gives:
% 260.70/66.39 | (53) all_4_67 = n2
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n1, simplifying with
% 260.70/66.39 | (51), (52) gives:
% 260.70/66.39 | (54) all_4_67 = all_4_70
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with n0, all_4_68, n1, simplifying with (38),
% 260.70/66.39 | (49) gives:
% 260.70/66.39 | (55) all_4_68 = n0
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n1, simplifying with
% 260.70/66.39 | (49), (50) gives:
% 260.70/66.39 | (56) all_4_68 = all_4_71
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (53), (54) imply:
% 260.70/66.39 | (57) all_4_70 = n2
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (55), (56) imply:
% 260.70/66.39 | (58) all_4_71 = n0
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (31), (53), (55) imply:
% 260.70/66.39 | (59) sum(n0, n2) = all_4_66
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (39), (55), (57) imply:
% 260.70/66.39 | (60) sum(n0, n2) = all_4_64
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (29), (53), (58) imply:
% 260.70/66.39 | (61) sum(n0, n2) = all_4_65
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (8), (57), (58) imply:
% 260.70/66.39 | (62) sum(n0, n2) = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n2, all_4_65, n2, n0, simplifying with
% 260.70/66.39 | (17), (61) gives:
% 260.70/66.39 | (63) all_4_65 = n2
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_66, all_4_65, n2, n0, simplifying
% 260.70/66.39 | with (59), (61) gives:
% 260.70/66.39 | (64) all_4_65 = all_4_66
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_66, all_4_64, n2, n0, simplifying
% 260.70/66.39 | with (59), (60) gives:
% 260.70/66.39 | (65) all_4_64 = all_4_66
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_69, all_4_64, n2, n0, simplifying
% 260.70/66.39 | with (60), (62) gives:
% 260.70/66.39 | (66) all_4_64 = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (65), (66) imply:
% 260.70/66.39 | (67) all_4_66 = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (67) implies:
% 260.70/66.39 | (68) all_4_66 = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (63), (64) imply:
% 260.70/66.39 | (69) all_4_66 = n2
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (69) implies:
% 260.70/66.39 | (70) all_4_66 = n2
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (68), (70) imply:
% 260.70/66.39 | (71) all_4_69 = n2
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (66), (71) imply:
% 260.70/66.39 | (72) all_4_64 = n2
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (21), (63), (72) imply:
% 260.70/66.39 | (73) sum(n2, n2) = all_4_96
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (34), (70), (71) imply:
% 260.70/66.39 | (74) sum(n2, n2) = all_4_97
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n4, all_4_96, n2, n2, simplifying with
% 260.70/66.39 | (4), (73) gives:
% 260.70/66.39 | (75) all_4_96 = n4
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_97, all_4_96, n2, n2, simplifying
% 260.70/66.39 | with (73), (74) gives:
% 260.70/66.39 | (76) all_4_96 = all_4_97
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (75), (76) imply:
% 260.70/66.39 | (77) all_4_97 = n4
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (77) implies:
% 260.70/66.39 | (78) all_4_97 = n4
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (26), (75) imply:
% 260.70/66.39 | (79) pred(n4) = all_4_60
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (24), (78) imply:
% 260.70/66.39 | (80) pred(n4) = all_4_63
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (27), (75) imply:
% 260.70/66.39 | (81) succ(n4) = all_4_62
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (40), (78) imply:
% 260.70/66.39 | (82) succ(n4) = all_4_59
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (23) with n5, all_4_59, n4, simplifying with (35),
% 260.70/66.39 | (82) gives:
% 260.70/66.39 | (83) all_4_59 = n5
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n4, simplifying with
% 260.70/66.39 | (81), (82) gives:
% 260.70/66.39 | (84) all_4_59 = all_4_62
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with n3, all_4_60, n4, simplifying with (22),
% 260.70/66.39 | (79) gives:
% 260.70/66.39 | (85) all_4_60 = n3
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n4, simplifying with
% 260.70/66.39 | (79), (80) gives:
% 260.70/66.39 | (86) all_4_60 = all_4_63
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (83), (84) imply:
% 260.70/66.39 | (87) all_4_62 = n5
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (85), (86) imply:
% 260.70/66.39 | (88) all_4_63 = n3
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (30), (83), (85) imply:
% 260.70/66.39 | (89) sum(n3, n5) = all_4_58
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (7), (85), (87) imply:
% 260.70/66.39 | (90) sum(n3, n5) = all_4_56
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (10), (83), (88) imply:
% 260.70/66.39 | (91) sum(n3, n5) = all_4_57
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (11), (87), (88) imply:
% 260.70/66.39 | (92) sum(n3, n5) = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n8, all_4_57, n5, n3, simplifying with
% 260.70/66.39 | (18), (91) gives:
% 260.70/66.39 | (93) all_4_57 = n8
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_58, all_4_57, n5, n3, simplifying
% 260.70/66.39 | with (89), (91) gives:
% 260.70/66.39 | (94) all_4_57 = all_4_58
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_57, all_4_56, n5, n3, simplifying
% 260.70/66.39 | with (90), (91) gives:
% 260.70/66.39 | (95) all_4_56 = all_4_57
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_61, all_4_56, n5, n3, simplifying
% 260.70/66.39 | with (90), (92) gives:
% 260.70/66.39 | (96) all_4_56 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (95), (96) imply:
% 260.70/66.39 | (97) all_4_57 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (97) implies:
% 260.70/66.39 | (98) all_4_57 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (93), (94) imply:
% 260.70/66.39 | (99) all_4_58 = n8
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (94), (98) imply:
% 260.70/66.39 | (100) all_4_58 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (99), (100) imply:
% 260.70/66.39 | (101) all_4_61 = n8
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (96), (101) imply:
% 260.70/66.39 | (102) all_4_56 = n8
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (16), (93), (102) imply:
% 260.70/66.39 | (103) sum(n8, n8) = all_4_94
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (41), (99), (101) imply:
% 260.70/66.39 | (104) sum(n8, n8) = all_4_95
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n5, all_4_94, n8, n8, simplifying with
% 260.70/66.39 | (14), (103) gives:
% 260.70/66.39 | (105) all_4_94 = n5
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_95, all_4_94, n8, n8, simplifying
% 260.70/66.39 | with (103), (104) gives:
% 260.70/66.39 | (106) all_4_94 = all_4_95
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (105), (106) imply:
% 260.70/66.39 | (107) all_4_95 = n5
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (48), (105) imply:
% 260.70/66.39 | (108) pred(n5) = all_4_52
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (5), (107) imply:
% 260.70/66.39 | (109) pred(n5) = all_4_55
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (13), (105) imply:
% 260.70/66.39 | (110) succ(n5) = all_4_54
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (1), (107) imply:
% 260.70/66.39 | (111) succ(n5) = all_4_51
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (23) with n6, all_4_51, n5, simplifying with (33),
% 260.70/66.39 | (111) gives:
% 260.70/66.39 | (112) all_4_51 = n6
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (23) with all_4_54, all_4_51, n5, simplifying with
% 260.70/66.39 | (110), (111) gives:
% 260.70/66.39 | (113) all_4_51 = all_4_54
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with n4, all_4_52, n5, simplifying with (20),
% 260.70/66.39 | (108) gives:
% 260.70/66.39 | (114) all_4_52 = n4
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with all_4_55, all_4_52, n5, simplifying with
% 260.70/66.39 | (108), (109) gives:
% 260.70/66.39 | (115) all_4_52 = all_4_55
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (112), (113) imply:
% 260.70/66.39 | (116) all_4_54 = n6
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (114), (115) imply:
% 260.70/66.39 | (117) all_4_55 = n4
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (117) implies:
% 260.70/66.39 | (118) all_4_55 = n4
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (45), (112), (114) imply:
% 260.70/66.39 | (119) sum(n4, n6) = all_4_50
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (6), (114), (116) imply:
% 260.70/66.39 | (120) sum(n4, n6) = all_4_48
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (28), (112), (118) imply:
% 260.70/66.39 | (121) sum(n4, n6) = all_4_49
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (9), (116), (118) imply:
% 260.70/66.39 | (122) sum(n4, n6) = all_4_53
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n10, all_4_49, n6, n4, simplifying with
% 260.70/66.39 | (3), (121) gives:
% 260.70/66.39 | (123) all_4_49 = n10
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_50, all_4_49, n6, n4, simplifying
% 260.70/66.39 | with (119), (121) gives:
% 260.70/66.39 | (124) all_4_49 = all_4_50
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_49, all_4_48, n6, n4, simplifying
% 260.70/66.39 | with (120), (121) gives:
% 260.70/66.39 | (125) all_4_48 = all_4_49
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with all_4_53, all_4_48, n6, n4, simplifying
% 260.70/66.39 | with (120), (122) gives:
% 260.70/66.39 | (126) all_4_48 = all_4_53
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (125), (126) imply:
% 260.70/66.39 | (127) all_4_49 = all_4_53
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (127) implies:
% 260.70/66.39 | (128) all_4_49 = all_4_53
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (123), (124) imply:
% 260.70/66.39 | (129) all_4_50 = n10
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (124), (128) imply:
% 260.70/66.39 | (130) all_4_50 = all_4_53
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (129), (130) imply:
% 260.70/66.39 | (131) all_4_53 = n10
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (126), (131) imply:
% 260.70/66.39 | (132) all_4_48 = n10
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (43), (123), (132) imply:
% 260.70/66.39 | (133) sum(n10, n10) = all_4_92
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (46), (129), (131) imply:
% 260.70/66.39 | (134) sum(n10, n10) = all_4_93
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n9, all_4_93, n10, n10, simplifying with
% 260.70/66.39 | (19), (134) gives:
% 260.70/66.39 | (135) all_4_93 = n9
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (32) with n9, all_4_92, n10, n10, simplifying with
% 260.70/66.39 | (19), (133) gives:
% 260.70/66.39 | (136) all_4_92 = n9
% 260.70/66.39 |
% 260.70/66.39 | REF_CLOSE: (12), (37), (42), (75), (78), (105), (107), (135), (136) are
% 260.70/66.39 | inconsistent by sub-proof #142.
% 260.70/66.39 |
% 260.70/66.39 End of proof
% 260.70/66.39
% 260.70/66.39 Sub-proof #26 shows that the following formulas are inconsistent:
% 260.70/66.39 ----------------------------------------------------------------
% 260.70/66.39 (1) succ(all_4_95) = all_4_51
% 260.70/66.39 (2) succ(n1) = n2
% 260.70/66.39 (3) sum(n2, n2) = n4
% 260.70/66.39 (4) pred(all_4_95) = all_4_55
% 260.70/66.39 (5) sum(all_4_52, all_4_54) = all_4_48
% 260.70/66.39 (6) sum(all_4_60, all_4_62) = all_4_56
% 260.70/66.39 (7) sum(all_4_71, all_4_70) = all_4_69
% 260.70/66.39 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.70/66.39 (9) sum(n2, n4) = n6
% 260.70/66.39 (10) sum(all_4_63, all_4_59) = all_4_57
% 260.70/66.39 (11) sum(all_4_63, all_4_62) = all_4_61
% 260.70/66.39 (12) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.70/66.39 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.70/66.39 (13) succ(all_4_94) = all_4_54
% 260.70/66.39 (14) sum(n8, n8) = n5
% 260.70/66.39 (15) pred(all_4_99) = all_4_71
% 260.70/66.39 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.70/66.39 (17) sum(n0, n2) = n2
% 260.70/66.39 (18) sum(n3, n5) = n8
% 260.70/66.39 (19) sum(all_4_65, all_4_64) = all_4_96
% 260.70/66.39 (20) pred(n4) = n3
% 260.70/66.39 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.70/66.39 | ~ (succ(v2) = v0))
% 260.70/66.39 (22) pred(all_4_97) = all_4_63
% 260.70/66.39 (23) succ(all_4_99) = all_4_67
% 260.70/66.39 (24) succ(n3) = n4
% 260.70/66.39 (25) pred(all_4_96) = all_4_60
% 260.70/66.39 (26) succ(all_4_96) = all_4_62
% 260.70/66.39 (27) pred(n3) = n2
% 260.70/66.39 (28) sum(all_4_55, all_4_51) = all_4_49
% 260.70/66.39 (29) sum(all_4_71, all_4_67) = all_4_65
% 260.70/66.39 (30) all_4_98 = n3
% 260.70/66.39 (31) sum(all_4_60, all_4_59) = all_4_58
% 260.70/66.39 (32) sum(all_4_68, all_4_67) = all_4_66
% 260.70/66.39 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.70/66.39 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.70/66.39 (34) sum(n6, n6) = n1
% 260.70/66.39 (35) sum(all_4_69, all_4_66) = all_4_97
% 260.70/66.39 (36) succ(n4) = n5
% 260.70/66.39 (37) succ(all_4_98) = all_4_70
% 260.70/66.39 (38) all_4_99 = n3
% 260.70/66.39 (39) pred(n1) = n0
% 260.70/66.39 (40) sum(all_4_68, all_4_70) = all_4_64
% 260.70/66.39 (41) succ(all_4_97) = all_4_59
% 260.70/66.39 (42) sum(all_4_61, all_4_58) = all_4_95
% 260.70/66.39 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.70/66.39 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.70/66.39 | ~ (pred(v2) = v0))
% 260.70/66.39 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.70/66.39 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.70/66.39 (47) pred(all_4_98) = all_4_68
% 260.70/66.39 (48) pred(all_4_94) = all_4_52
% 260.70/66.39
% 260.70/66.39 Begin of proof
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (30), (47) imply:
% 260.70/66.39 | (49) pred(n3) = all_4_68
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (15), (38) imply:
% 260.70/66.39 | (50) pred(n3) = all_4_71
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (30), (37) imply:
% 260.70/66.39 | (51) succ(n3) = all_4_70
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (23), (38) imply:
% 260.70/66.39 | (52) succ(n3) = all_4_67
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (21) with n4, all_4_67, n3, simplifying with (24),
% 260.70/66.39 | (52) gives:
% 260.70/66.39 | (53) all_4_67 = n4
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (21) with all_4_70, all_4_67, n3, simplifying with
% 260.70/66.39 | (51), (52) gives:
% 260.70/66.39 | (54) all_4_67 = all_4_70
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with n2, all_4_68, n3, simplifying with (27),
% 260.70/66.39 | (49) gives:
% 260.70/66.39 | (55) all_4_68 = n2
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n3, simplifying with
% 260.70/66.39 | (49), (50) gives:
% 260.70/66.39 | (56) all_4_68 = all_4_71
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (53), (54) imply:
% 260.70/66.39 | (57) all_4_70 = n4
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (55), (56) imply:
% 260.70/66.39 | (58) all_4_71 = n2
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (32), (53), (55) imply:
% 260.70/66.39 | (59) sum(n2, n4) = all_4_66
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (40), (55), (57) imply:
% 260.70/66.39 | (60) sum(n2, n4) = all_4_64
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (29), (53), (58) imply:
% 260.70/66.39 | (61) sum(n2, n4) = all_4_65
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (7), (57), (58) imply:
% 260.70/66.39 | (62) sum(n2, n4) = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with n6, all_4_65, n4, n2, simplifying with
% 260.70/66.39 | (9), (61) gives:
% 260.70/66.39 | (63) all_4_65 = n6
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_66, all_4_65, n4, n2, simplifying
% 260.70/66.39 | with (59), (61) gives:
% 260.70/66.39 | (64) all_4_65 = all_4_66
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_66, all_4_64, n4, n2, simplifying
% 260.70/66.39 | with (59), (60) gives:
% 260.70/66.39 | (65) all_4_64 = all_4_66
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_69, all_4_64, n4, n2, simplifying
% 260.70/66.39 | with (60), (62) gives:
% 260.70/66.39 | (66) all_4_64 = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (65), (66) imply:
% 260.70/66.39 | (67) all_4_66 = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (67) implies:
% 260.70/66.39 | (68) all_4_66 = all_4_69
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (63), (64) imply:
% 260.70/66.39 | (69) all_4_66 = n6
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (69) implies:
% 260.70/66.39 | (70) all_4_66 = n6
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (68), (70) imply:
% 260.70/66.39 | (71) all_4_69 = n6
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (66), (71) imply:
% 260.70/66.39 | (72) all_4_64 = n6
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (19), (63), (72) imply:
% 260.70/66.39 | (73) sum(n6, n6) = all_4_96
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (35), (70), (71) imply:
% 260.70/66.39 | (74) sum(n6, n6) = all_4_97
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with n1, all_4_96, n6, n6, simplifying with
% 260.70/66.39 | (34), (73) gives:
% 260.70/66.39 | (75) all_4_96 = n1
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_97, all_4_96, n6, n6, simplifying
% 260.70/66.39 | with (73), (74) gives:
% 260.70/66.39 | (76) all_4_96 = all_4_97
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (75), (76) imply:
% 260.70/66.39 | (77) all_4_97 = n1
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (77) implies:
% 260.70/66.39 | (78) all_4_97 = n1
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (25), (75) imply:
% 260.70/66.39 | (79) pred(n1) = all_4_60
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (22), (78) imply:
% 260.70/66.39 | (80) pred(n1) = all_4_63
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (26), (75) imply:
% 260.70/66.39 | (81) succ(n1) = all_4_62
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (41), (78) imply:
% 260.70/66.39 | (82) succ(n1) = all_4_59
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (21) with n2, all_4_59, n1, simplifying with (2),
% 260.70/66.39 | (82) gives:
% 260.70/66.39 | (83) all_4_59 = n2
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (21) with all_4_62, all_4_59, n1, simplifying with
% 260.70/66.39 | (81), (82) gives:
% 260.70/66.39 | (84) all_4_59 = all_4_62
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with n0, all_4_60, n1, simplifying with (39),
% 260.70/66.39 | (79) gives:
% 260.70/66.39 | (85) all_4_60 = n0
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n1, simplifying with
% 260.70/66.39 | (79), (80) gives:
% 260.70/66.39 | (86) all_4_60 = all_4_63
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (83), (84) imply:
% 260.70/66.39 | (87) all_4_62 = n2
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (85), (86) imply:
% 260.70/66.39 | (88) all_4_63 = n0
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (31), (83), (85) imply:
% 260.70/66.39 | (89) sum(n0, n2) = all_4_58
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (6), (85), (87) imply:
% 260.70/66.39 | (90) sum(n0, n2) = all_4_56
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (10), (83), (88) imply:
% 260.70/66.39 | (91) sum(n0, n2) = all_4_57
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (11), (87), (88) imply:
% 260.70/66.39 | (92) sum(n0, n2) = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with n2, all_4_57, n2, n0, simplifying with
% 260.70/66.39 | (17), (91) gives:
% 260.70/66.39 | (93) all_4_57 = n2
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_58, all_4_57, n2, n0, simplifying
% 260.70/66.39 | with (89), (91) gives:
% 260.70/66.39 | (94) all_4_57 = all_4_58
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_57, all_4_56, n2, n0, simplifying
% 260.70/66.39 | with (90), (91) gives:
% 260.70/66.39 | (95) all_4_56 = all_4_57
% 260.70/66.39 |
% 260.70/66.39 | GROUND_INST: instantiating (33) with all_4_61, all_4_56, n2, n0, simplifying
% 260.70/66.39 | with (90), (92) gives:
% 260.70/66.39 | (96) all_4_56 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (95), (96) imply:
% 260.70/66.39 | (97) all_4_57 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | SIMP: (97) implies:
% 260.70/66.39 | (98) all_4_57 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (93), (94) imply:
% 260.70/66.39 | (99) all_4_58 = n2
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (94), (98) imply:
% 260.70/66.39 | (100) all_4_58 = all_4_61
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (99), (100) imply:
% 260.70/66.39 | (101) all_4_61 = n2
% 260.70/66.39 |
% 260.70/66.39 | COMBINE_EQS: (96), (101) imply:
% 260.70/66.39 | (102) all_4_56 = n2
% 260.70/66.39 |
% 260.70/66.39 | REDUCE: (16), (93), (102) imply:
% 260.70/66.40 | (103) sum(n2, n2) = all_4_94
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (42), (99), (101) imply:
% 260.70/66.40 | (104) sum(n2, n2) = all_4_95
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with n4, all_4_94, n2, n2, simplifying with
% 260.70/66.40 | (3), (103) gives:
% 260.70/66.40 | (105) all_4_94 = n4
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with all_4_95, all_4_94, n2, n2, simplifying
% 260.70/66.40 | with (103), (104) gives:
% 260.70/66.40 | (106) all_4_94 = all_4_95
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (105), (106) imply:
% 260.70/66.40 | (107) all_4_95 = n4
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (48), (105) imply:
% 260.70/66.40 | (108) pred(n4) = all_4_52
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (4), (107) imply:
% 260.70/66.40 | (109) pred(n4) = all_4_55
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (13), (105) imply:
% 260.70/66.40 | (110) succ(n4) = all_4_54
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (1), (107) imply:
% 260.70/66.40 | (111) succ(n4) = all_4_51
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (21) with n5, all_4_51, n4, simplifying with (36),
% 260.70/66.40 | (111) gives:
% 260.70/66.40 | (112) all_4_51 = n5
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (21) with all_4_54, all_4_51, n4, simplifying with
% 260.70/66.40 | (110), (111) gives:
% 260.70/66.40 | (113) all_4_51 = all_4_54
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with n3, all_4_52, n4, simplifying with (20),
% 260.70/66.40 | (108) gives:
% 260.70/66.40 | (114) all_4_52 = n3
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with all_4_55, all_4_52, n4, simplifying with
% 260.70/66.40 | (108), (109) gives:
% 260.70/66.40 | (115) all_4_52 = all_4_55
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (112), (113) imply:
% 260.70/66.40 | (116) all_4_54 = n5
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (114), (115) imply:
% 260.70/66.40 | (117) all_4_55 = n3
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (117) implies:
% 260.70/66.40 | (118) all_4_55 = n3
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (45), (112), (114) imply:
% 260.70/66.40 | (119) sum(n3, n5) = all_4_50
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (5), (114), (116) imply:
% 260.70/66.40 | (120) sum(n3, n5) = all_4_48
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (28), (112), (118) imply:
% 260.70/66.40 | (121) sum(n3, n5) = all_4_49
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (8), (116), (118) imply:
% 260.70/66.40 | (122) sum(n3, n5) = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with n8, all_4_49, n5, n3, simplifying with
% 260.70/66.40 | (18), (121) gives:
% 260.70/66.40 | (123) all_4_49 = n8
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with all_4_50, all_4_49, n5, n3, simplifying
% 260.70/66.40 | with (119), (121) gives:
% 260.70/66.40 | (124) all_4_49 = all_4_50
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with all_4_49, all_4_48, n5, n3, simplifying
% 260.70/66.40 | with (120), (121) gives:
% 260.70/66.40 | (125) all_4_48 = all_4_49
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with all_4_53, all_4_48, n5, n3, simplifying
% 260.70/66.40 | with (120), (122) gives:
% 260.70/66.40 | (126) all_4_48 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (125), (126) imply:
% 260.70/66.40 | (127) all_4_49 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (127) implies:
% 260.70/66.40 | (128) all_4_49 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (123), (124) imply:
% 260.70/66.40 | (129) all_4_50 = n8
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (124), (128) imply:
% 260.70/66.40 | (130) all_4_50 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (129), (130) imply:
% 260.70/66.40 | (131) all_4_53 = n8
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (126), (131) imply:
% 260.70/66.40 | (132) all_4_48 = n8
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (43), (123), (132) imply:
% 260.70/66.40 | (133) sum(n8, n8) = all_4_92
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (46), (129), (131) imply:
% 260.70/66.40 | (134) sum(n8, n8) = all_4_93
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with n5, all_4_93, n8, n8, simplifying with
% 260.70/66.40 | (14), (134) gives:
% 260.70/66.40 | (135) all_4_93 = n5
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (33) with n5, all_4_92, n8, n8, simplifying with
% 260.70/66.40 | (14), (133) gives:
% 260.70/66.40 | (136) all_4_92 = n5
% 260.70/66.40 |
% 260.70/66.40 | REF_CLOSE: (12), (30), (38), (75), (78), (105), (107), (135), (136) are
% 260.70/66.40 | inconsistent by sub-proof #159.
% 260.70/66.40 |
% 260.70/66.40 End of proof
% 260.70/66.40
% 260.70/66.40 Sub-proof #27 shows that the following formulas are inconsistent:
% 260.70/66.40 ----------------------------------------------------------------
% 260.70/66.40 (1) succ(all_4_95) = all_4_51
% 260.70/66.40 (2) sum(n4, n6) = n10
% 260.70/66.40 (3) pred(all_4_95) = all_4_55
% 260.70/66.40 (4) succ(n9) = n10
% 260.70/66.40 (5) sum(all_4_52, all_4_54) = all_4_48
% 260.70/66.40 (6) sum(all_4_60, all_4_62) = all_4_56
% 260.70/66.40 (7) sum(all_4_71, all_4_70) = all_4_69
% 260.70/66.40 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.70/66.40 (9) sum(n2, n4) = n6
% 260.70/66.40 (10) sum(all_4_63, all_4_59) = all_4_57
% 260.70/66.40 (11) sum(all_4_63, all_4_62) = all_4_61
% 260.70/66.40 (12) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.70/66.40 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.70/66.40 (13) succ(all_4_94) = all_4_54
% 260.70/66.40 (14) all_4_98 = n5
% 260.70/66.40 (15) pred(all_4_99) = all_4_71
% 260.70/66.40 (16) all_4_99 = n5
% 260.70/66.40 (17) sum(n8, n10) = n7
% 260.70/66.40 (18) sum(all_4_57, all_4_56) = all_4_94
% 260.70/66.40 (19) sum(n10, n10) = n9
% 260.70/66.40 (20) pred(n5) = n4
% 260.70/66.40 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.70/66.40 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.70/66.40 | ~ (succ(v2) = v0))
% 260.70/66.40 (23) pred(all_4_97) = all_4_63
% 260.70/66.40 (24) succ(all_4_99) = all_4_67
% 260.70/66.40 (25) pred(n9) = n8
% 260.70/66.40 (26) succ(n3) = n4
% 260.70/66.40 (27) pred(all_4_96) = all_4_60
% 260.70/66.40 (28) succ(all_4_96) = all_4_62
% 260.70/66.40 (29) pred(n3) = n2
% 260.70/66.40 (30) sum(all_4_55, all_4_51) = all_4_49
% 260.70/66.40 (31) sum(all_4_71, all_4_67) = all_4_65
% 260.70/66.40 (32) sum(all_4_60, all_4_59) = all_4_58
% 260.70/66.40 (33) sum(all_4_68, all_4_67) = all_4_66
% 260.70/66.40 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.70/66.40 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.70/66.40 (35) sum(n6, n6) = n1
% 260.70/66.40 (36) succ(n5) = n6
% 260.70/66.40 (37) sum(all_4_69, all_4_66) = all_4_97
% 260.70/66.40 (38) succ(all_4_98) = all_4_70
% 260.70/66.40 (39) sum(all_4_68, all_4_70) = all_4_64
% 260.70/66.40 (40) succ(all_4_97) = all_4_59
% 260.70/66.40 (41) sum(all_4_61, all_4_58) = all_4_95
% 260.70/66.40 (42) sum(n7, n7) = n3
% 260.70/66.40 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.70/66.40 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.70/66.40 | ~ (pred(v2) = v0))
% 260.70/66.40 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.70/66.40 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.70/66.40 (47) pred(all_4_98) = all_4_68
% 260.70/66.40 (48) pred(all_4_94) = all_4_52
% 260.70/66.40
% 260.70/66.40 Begin of proof
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (14), (47) imply:
% 260.70/66.40 | (49) pred(n5) = all_4_68
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (15), (16) imply:
% 260.70/66.40 | (50) pred(n5) = all_4_71
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (14), (38) imply:
% 260.70/66.40 | (51) succ(n5) = all_4_70
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (16), (24) imply:
% 260.70/66.40 | (52) succ(n5) = all_4_67
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (22) with n6, all_4_67, n5, simplifying with (36),
% 260.70/66.40 | (52) gives:
% 260.70/66.40 | (53) all_4_67 = n6
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (22) with all_4_70, all_4_67, n5, simplifying with
% 260.70/66.40 | (51), (52) gives:
% 260.70/66.40 | (54) all_4_67 = all_4_70
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with n4, all_4_68, n5, simplifying with (20),
% 260.70/66.40 | (49) gives:
% 260.70/66.40 | (55) all_4_68 = n4
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n5, simplifying with
% 260.70/66.40 | (49), (50) gives:
% 260.70/66.40 | (56) all_4_68 = all_4_71
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (53), (54) imply:
% 260.70/66.40 | (57) all_4_70 = n6
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (55), (56) imply:
% 260.70/66.40 | (58) all_4_71 = n4
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (33), (53), (55) imply:
% 260.70/66.40 | (59) sum(n4, n6) = all_4_66
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (39), (55), (57) imply:
% 260.70/66.40 | (60) sum(n4, n6) = all_4_64
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (31), (53), (58) imply:
% 260.70/66.40 | (61) sum(n4, n6) = all_4_65
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (7), (57), (58) imply:
% 260.70/66.40 | (62) sum(n4, n6) = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n10, all_4_65, n6, n4, simplifying with
% 260.70/66.40 | (2), (61) gives:
% 260.70/66.40 | (63) all_4_65 = n10
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_66, all_4_65, n6, n4, simplifying
% 260.70/66.40 | with (59), (61) gives:
% 260.70/66.40 | (64) all_4_65 = all_4_66
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_66, all_4_64, n6, n4, simplifying
% 260.70/66.40 | with (59), (60) gives:
% 260.70/66.40 | (65) all_4_64 = all_4_66
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_69, all_4_64, n6, n4, simplifying
% 260.70/66.40 | with (60), (62) gives:
% 260.70/66.40 | (66) all_4_64 = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (65), (66) imply:
% 260.70/66.40 | (67) all_4_66 = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (67) implies:
% 260.70/66.40 | (68) all_4_66 = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (63), (64) imply:
% 260.70/66.40 | (69) all_4_66 = n10
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (69) implies:
% 260.70/66.40 | (70) all_4_66 = n10
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (68), (70) imply:
% 260.70/66.40 | (71) all_4_69 = n10
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (66), (71) imply:
% 260.70/66.40 | (72) all_4_64 = n10
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (21), (63), (72) imply:
% 260.70/66.40 | (73) sum(n10, n10) = all_4_96
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (37), (70), (71) imply:
% 260.70/66.40 | (74) sum(n10, n10) = all_4_97
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n9, all_4_96, n10, n10, simplifying with
% 260.70/66.40 | (19), (73) gives:
% 260.70/66.40 | (75) all_4_96 = n9
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_97, all_4_96, n10, n10, simplifying
% 260.70/66.40 | with (73), (74) gives:
% 260.70/66.40 | (76) all_4_96 = all_4_97
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (75), (76) imply:
% 260.70/66.40 | (77) all_4_97 = n9
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (77) implies:
% 260.70/66.40 | (78) all_4_97 = n9
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (27), (75) imply:
% 260.70/66.40 | (79) pred(n9) = all_4_60
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (23), (78) imply:
% 260.70/66.40 | (80) pred(n9) = all_4_63
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (28), (75) imply:
% 260.70/66.40 | (81) succ(n9) = all_4_62
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (40), (78) imply:
% 260.70/66.40 | (82) succ(n9) = all_4_59
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (22) with n10, all_4_59, n9, simplifying with (4),
% 260.70/66.40 | (82) gives:
% 260.70/66.40 | (83) all_4_59 = n10
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (22) with all_4_62, all_4_59, n9, simplifying with
% 260.70/66.40 | (81), (82) gives:
% 260.70/66.40 | (84) all_4_59 = all_4_62
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with n8, all_4_60, n9, simplifying with (25),
% 260.70/66.40 | (79) gives:
% 260.70/66.40 | (85) all_4_60 = n8
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n9, simplifying with
% 260.70/66.40 | (79), (80) gives:
% 260.70/66.40 | (86) all_4_60 = all_4_63
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (83), (84) imply:
% 260.70/66.40 | (87) all_4_62 = n10
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (85), (86) imply:
% 260.70/66.40 | (88) all_4_63 = n8
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (32), (83), (85) imply:
% 260.70/66.40 | (89) sum(n8, n10) = all_4_58
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (6), (85), (87) imply:
% 260.70/66.40 | (90) sum(n8, n10) = all_4_56
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (10), (83), (88) imply:
% 260.70/66.40 | (91) sum(n8, n10) = all_4_57
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (11), (87), (88) imply:
% 260.70/66.40 | (92) sum(n8, n10) = all_4_61
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n7, all_4_57, n10, n8, simplifying with
% 260.70/66.40 | (17), (91) gives:
% 260.70/66.40 | (93) all_4_57 = n7
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_58, all_4_57, n10, n8, simplifying
% 260.70/66.40 | with (89), (91) gives:
% 260.70/66.40 | (94) all_4_57 = all_4_58
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_57, all_4_56, n10, n8, simplifying
% 260.70/66.40 | with (90), (91) gives:
% 260.70/66.40 | (95) all_4_56 = all_4_57
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_61, all_4_56, n10, n8, simplifying
% 260.70/66.40 | with (90), (92) gives:
% 260.70/66.40 | (96) all_4_56 = all_4_61
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (95), (96) imply:
% 260.70/66.40 | (97) all_4_57 = all_4_61
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (97) implies:
% 260.70/66.40 | (98) all_4_57 = all_4_61
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (93), (94) imply:
% 260.70/66.40 | (99) all_4_58 = n7
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (94), (98) imply:
% 260.70/66.40 | (100) all_4_58 = all_4_61
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (99), (100) imply:
% 260.70/66.40 | (101) all_4_61 = n7
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (96), (101) imply:
% 260.70/66.40 | (102) all_4_56 = n7
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (18), (93), (102) imply:
% 260.70/66.40 | (103) sum(n7, n7) = all_4_94
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (41), (99), (101) imply:
% 260.70/66.40 | (104) sum(n7, n7) = all_4_95
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n3, all_4_94, n7, n7, simplifying with
% 260.70/66.40 | (42), (103) gives:
% 260.70/66.40 | (105) all_4_94 = n3
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_95, all_4_94, n7, n7, simplifying
% 260.70/66.40 | with (103), (104) gives:
% 260.70/66.40 | (106) all_4_94 = all_4_95
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (105), (106) imply:
% 260.70/66.40 | (107) all_4_95 = n3
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (48), (105) imply:
% 260.70/66.40 | (108) pred(n3) = all_4_52
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (3), (107) imply:
% 260.70/66.40 | (109) pred(n3) = all_4_55
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (13), (105) imply:
% 260.70/66.40 | (110) succ(n3) = all_4_54
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (1), (107) imply:
% 260.70/66.40 | (111) succ(n3) = all_4_51
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (22) with n4, all_4_51, n3, simplifying with (26),
% 260.70/66.40 | (111) gives:
% 260.70/66.40 | (112) all_4_51 = n4
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (22) with all_4_54, all_4_51, n3, simplifying with
% 260.70/66.40 | (110), (111) gives:
% 260.70/66.40 | (113) all_4_51 = all_4_54
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with n2, all_4_52, n3, simplifying with (29),
% 260.70/66.40 | (108) gives:
% 260.70/66.40 | (114) all_4_52 = n2
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (44) with all_4_55, all_4_52, n3, simplifying with
% 260.70/66.40 | (108), (109) gives:
% 260.70/66.40 | (115) all_4_52 = all_4_55
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (112), (113) imply:
% 260.70/66.40 | (116) all_4_54 = n4
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (114), (115) imply:
% 260.70/66.40 | (117) all_4_55 = n2
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (117) implies:
% 260.70/66.40 | (118) all_4_55 = n2
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (45), (112), (114) imply:
% 260.70/66.40 | (119) sum(n2, n4) = all_4_50
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (5), (114), (116) imply:
% 260.70/66.40 | (120) sum(n2, n4) = all_4_48
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (30), (112), (118) imply:
% 260.70/66.40 | (121) sum(n2, n4) = all_4_49
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (8), (116), (118) imply:
% 260.70/66.40 | (122) sum(n2, n4) = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n6, all_4_49, n4, n2, simplifying with
% 260.70/66.40 | (9), (121) gives:
% 260.70/66.40 | (123) all_4_49 = n6
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_50, all_4_49, n4, n2, simplifying
% 260.70/66.40 | with (119), (121) gives:
% 260.70/66.40 | (124) all_4_49 = all_4_50
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_49, all_4_48, n4, n2, simplifying
% 260.70/66.40 | with (120), (121) gives:
% 260.70/66.40 | (125) all_4_48 = all_4_49
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with all_4_53, all_4_48, n4, n2, simplifying
% 260.70/66.40 | with (120), (122) gives:
% 260.70/66.40 | (126) all_4_48 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (125), (126) imply:
% 260.70/66.40 | (127) all_4_49 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (127) implies:
% 260.70/66.40 | (128) all_4_49 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (123), (124) imply:
% 260.70/66.40 | (129) all_4_50 = n6
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (124), (128) imply:
% 260.70/66.40 | (130) all_4_50 = all_4_53
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (129), (130) imply:
% 260.70/66.40 | (131) all_4_53 = n6
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (126), (131) imply:
% 260.70/66.40 | (132) all_4_48 = n6
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (43), (123), (132) imply:
% 260.70/66.40 | (133) sum(n6, n6) = all_4_92
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (46), (129), (131) imply:
% 260.70/66.40 | (134) sum(n6, n6) = all_4_93
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n1, all_4_93, n6, n6, simplifying with
% 260.70/66.40 | (35), (134) gives:
% 260.70/66.40 | (135) all_4_93 = n1
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (34) with n1, all_4_92, n6, n6, simplifying with
% 260.70/66.40 | (35), (133) gives:
% 260.70/66.40 | (136) all_4_92 = n1
% 260.70/66.40 |
% 260.70/66.40 | REF_CLOSE: (12), (14), (16), (75), (78), (105), (107), (135), (136) are
% 260.70/66.40 | inconsistent by sub-proof #177.
% 260.70/66.40 |
% 260.70/66.40 End of proof
% 260.70/66.40
% 260.70/66.40 Sub-proof #28 shows that the following formulas are inconsistent:
% 260.70/66.40 ----------------------------------------------------------------
% 260.70/66.40 (1) succ(all_4_95) = all_4_51
% 260.70/66.40 (2) succ(n1) = n2
% 260.70/66.40 (3) sum(n4, n6) = n10
% 260.70/66.40 (4) succ(all_4_92) = all_4_46
% 260.70/66.40 (5) sum(n2, n2) = n4
% 260.70/66.40 (6) pred(all_4_95) = all_4_55
% 260.70/66.40 (7) sum(all_4_44, all_4_46) = all_4_40
% 260.70/66.40 (8) succ(n9) = n10
% 260.70/66.40 (9) sum(all_4_52, all_4_54) = all_4_48
% 260.70/66.40 (10) sum(all_4_60, all_4_62) = all_4_56
% 260.70/66.40 (11) sum(all_4_71, all_4_70) = all_4_69
% 260.70/66.40 (12) sum(all_4_55, all_4_54) = all_4_53
% 260.70/66.40 (13) sum(all_4_63, all_4_59) = all_4_57
% 260.70/66.40 (14) sum(all_4_63, all_4_62) = all_4_61
% 260.70/66.40 (15) succ(all_4_94) = all_4_54
% 260.70/66.40 (16) sum(n8, n8) = n5
% 260.70/66.40 (17) pred(all_4_99) = all_4_71
% 260.70/66.40 (18) sum(n8, n10) = n7
% 260.70/66.40 (19) sum(all_4_57, all_4_56) = all_4_94
% 260.70/66.40 (20) sum(n0, n2) = n2
% 260.70/66.40 (21) sum(n3, n5) = n8
% 260.70/66.40 (22) sum(n10, n10) = n9
% 260.70/66.40 (23) sum(all_4_47, all_4_43) = all_4_41
% 260.70/66.40 (24) pred(n5) = n4
% 260.70/66.40 (25) pred(all_4_92) = all_4_44
% 260.70/66.40 (26) sum(all_4_65, all_4_64) = all_4_96
% 260.70/66.40 (27) pred(n4) = n3
% 260.70/66.40 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.70/66.40 | ~ (succ(v2) = v0))
% 260.70/66.40 (29) pred(all_4_97) = all_4_63
% 260.70/66.40 (30) succ(all_4_99) = all_4_67
% 260.70/66.40 (31) pred(n9) = n8
% 260.70/66.40 (32) pred(all_4_96) = all_4_60
% 260.70/66.40 (33) succ(all_4_96) = all_4_62
% 260.70/66.40 (34) sum(all_4_55, all_4_51) = all_4_49
% 260.70/66.40 (35) sum(all_4_47, all_4_46) = all_4_45
% 260.70/66.40 (36) pred(all_4_93) = all_4_47
% 260.70/66.40 (37) sum(all_4_71, all_4_67) = all_4_65
% 260.70/66.40 (38) sum(all_4_60, all_4_59) = all_4_58
% 260.70/66.40 (39) sum(all_4_41, all_4_40) = all_4_90
% 260.70/66.40 (40) sum(all_4_68, all_4_67) = all_4_66
% 260.70/66.40 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.70/66.40 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.70/66.40 (42) sum(all_4_45, all_4_42) = all_4_91
% 260.70/66.40 (43) sum(all_4_44, all_4_43) = all_4_42
% 260.70/66.40 (44) succ(n5) = n6
% 260.70/66.40 (45) sum(all_4_69, all_4_66) = all_4_97
% 260.70/66.40 (46) succ(n4) = n5
% 260.70/66.40 (47) succ(all_4_98) = all_4_70
% 260.70/66.40 (48) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.70/66.40 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.70/66.40 (49) all_4_99 = n1
% 260.70/66.40 (50) pred(n1) = n0
% 260.70/66.40 (51) sum(all_4_68, all_4_70) = all_4_64
% 260.70/66.40 (52) succ(all_4_97) = all_4_59
% 260.70/66.40 (53) sum(all_4_61, all_4_58) = all_4_95
% 260.70/66.40 (54) sum(n7, n7) = n3
% 260.70/66.40 (55) all_4_98 = n1
% 260.70/66.40 (56) sum(all_4_49, all_4_48) = all_4_92
% 260.70/66.40 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.70/66.40 | ~ (pred(v2) = v0))
% 260.70/66.40 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.70/66.40 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.70/66.40 (60) succ(all_4_93) = all_4_43
% 260.70/66.40 (61) pred(all_4_98) = all_4_68
% 260.70/66.40 (62) pred(all_4_94) = all_4_52
% 260.70/66.40
% 260.70/66.40 Begin of proof
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (55), (61) imply:
% 260.70/66.40 | (63) pred(n1) = all_4_68
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (17), (49) imply:
% 260.70/66.40 | (64) pred(n1) = all_4_71
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (47), (55) imply:
% 260.70/66.40 | (65) succ(n1) = all_4_70
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (30), (49) imply:
% 260.70/66.40 | (66) succ(n1) = all_4_67
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (28) with n2, all_4_67, n1, simplifying with (2),
% 260.70/66.40 | (66) gives:
% 260.70/66.40 | (67) all_4_67 = n2
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (28) with all_4_70, all_4_67, n1, simplifying with
% 260.70/66.40 | (65), (66) gives:
% 260.70/66.40 | (68) all_4_67 = all_4_70
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (57) with n0, all_4_68, n1, simplifying with (50),
% 260.70/66.40 | (63) gives:
% 260.70/66.40 | (69) all_4_68 = n0
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n1, simplifying with
% 260.70/66.40 | (63), (64) gives:
% 260.70/66.40 | (70) all_4_68 = all_4_71
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (67), (68) imply:
% 260.70/66.40 | (71) all_4_70 = n2
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (69), (70) imply:
% 260.70/66.40 | (72) all_4_71 = n0
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (40), (67), (69) imply:
% 260.70/66.40 | (73) sum(n0, n2) = all_4_66
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (51), (69), (71) imply:
% 260.70/66.40 | (74) sum(n0, n2) = all_4_64
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (37), (67), (72) imply:
% 260.70/66.40 | (75) sum(n0, n2) = all_4_65
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (11), (71), (72) imply:
% 260.70/66.40 | (76) sum(n0, n2) = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (41) with n2, all_4_65, n2, n0, simplifying with
% 260.70/66.40 | (20), (75) gives:
% 260.70/66.40 | (77) all_4_65 = n2
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (41) with all_4_66, all_4_65, n2, n0, simplifying
% 260.70/66.40 | with (73), (75) gives:
% 260.70/66.40 | (78) all_4_65 = all_4_66
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (41) with all_4_66, all_4_64, n2, n0, simplifying
% 260.70/66.40 | with (73), (74) gives:
% 260.70/66.40 | (79) all_4_64 = all_4_66
% 260.70/66.40 |
% 260.70/66.40 | GROUND_INST: instantiating (41) with all_4_69, all_4_64, n2, n0, simplifying
% 260.70/66.40 | with (74), (76) gives:
% 260.70/66.40 | (80) all_4_64 = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (79), (80) imply:
% 260.70/66.40 | (81) all_4_66 = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (81) implies:
% 260.70/66.40 | (82) all_4_66 = all_4_69
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (77), (78) imply:
% 260.70/66.40 | (83) all_4_66 = n2
% 260.70/66.40 |
% 260.70/66.40 | SIMP: (83) implies:
% 260.70/66.40 | (84) all_4_66 = n2
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (82), (84) imply:
% 260.70/66.40 | (85) all_4_69 = n2
% 260.70/66.40 |
% 260.70/66.40 | COMBINE_EQS: (80), (85) imply:
% 260.70/66.40 | (86) all_4_64 = n2
% 260.70/66.40 |
% 260.70/66.40 | REDUCE: (26), (77), (86) imply:
% 260.70/66.41 | (87) sum(n2, n2) = all_4_96
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (45), (84), (85) imply:
% 260.70/66.41 | (88) sum(n2, n2) = all_4_97
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with n4, all_4_96, n2, n2, simplifying with
% 260.70/66.41 | (5), (87) gives:
% 260.70/66.41 | (89) all_4_96 = n4
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_97, all_4_96, n2, n2, simplifying
% 260.70/66.41 | with (87), (88) gives:
% 260.70/66.41 | (90) all_4_96 = all_4_97
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (89), (90) imply:
% 260.70/66.41 | (91) all_4_97 = n4
% 260.70/66.41 |
% 260.70/66.41 | SIMP: (91) implies:
% 260.70/66.41 | (92) all_4_97 = n4
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (32), (89) imply:
% 260.70/66.41 | (93) pred(n4) = all_4_60
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (29), (92) imply:
% 260.70/66.41 | (94) pred(n4) = all_4_63
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (33), (89) imply:
% 260.70/66.41 | (95) succ(n4) = all_4_62
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (52), (92) imply:
% 260.70/66.41 | (96) succ(n4) = all_4_59
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (28) with n5, all_4_59, n4, simplifying with (46),
% 260.70/66.41 | (96) gives:
% 260.70/66.41 | (97) all_4_59 = n5
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (28) with all_4_62, all_4_59, n4, simplifying with
% 260.70/66.41 | (95), (96) gives:
% 260.70/66.41 | (98) all_4_59 = all_4_62
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (57) with n3, all_4_60, n4, simplifying with (27),
% 260.70/66.41 | (93) gives:
% 260.70/66.41 | (99) all_4_60 = n3
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n4, simplifying with
% 260.70/66.41 | (93), (94) gives:
% 260.70/66.41 | (100) all_4_60 = all_4_63
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (97), (98) imply:
% 260.70/66.41 | (101) all_4_62 = n5
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (99), (100) imply:
% 260.70/66.41 | (102) all_4_63 = n3
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (38), (97), (99) imply:
% 260.70/66.41 | (103) sum(n3, n5) = all_4_58
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (10), (99), (101) imply:
% 260.70/66.41 | (104) sum(n3, n5) = all_4_56
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (13), (97), (102) imply:
% 260.70/66.41 | (105) sum(n3, n5) = all_4_57
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (14), (101), (102) imply:
% 260.70/66.41 | (106) sum(n3, n5) = all_4_61
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with n8, all_4_57, n5, n3, simplifying with
% 260.70/66.41 | (21), (105) gives:
% 260.70/66.41 | (107) all_4_57 = n8
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_58, all_4_57, n5, n3, simplifying
% 260.70/66.41 | with (103), (105) gives:
% 260.70/66.41 | (108) all_4_57 = all_4_58
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_57, all_4_56, n5, n3, simplifying
% 260.70/66.41 | with (104), (105) gives:
% 260.70/66.41 | (109) all_4_56 = all_4_57
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_61, all_4_56, n5, n3, simplifying
% 260.70/66.41 | with (104), (106) gives:
% 260.70/66.41 | (110) all_4_56 = all_4_61
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (109), (110) imply:
% 260.70/66.41 | (111) all_4_57 = all_4_61
% 260.70/66.41 |
% 260.70/66.41 | SIMP: (111) implies:
% 260.70/66.41 | (112) all_4_57 = all_4_61
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (107), (108) imply:
% 260.70/66.41 | (113) all_4_58 = n8
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (108), (112) imply:
% 260.70/66.41 | (114) all_4_58 = all_4_61
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (113), (114) imply:
% 260.70/66.41 | (115) all_4_61 = n8
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (110), (115) imply:
% 260.70/66.41 | (116) all_4_56 = n8
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (19), (107), (116) imply:
% 260.70/66.41 | (117) sum(n8, n8) = all_4_94
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (53), (113), (115) imply:
% 260.70/66.41 | (118) sum(n8, n8) = all_4_95
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with n5, all_4_94, n8, n8, simplifying with
% 260.70/66.41 | (16), (117) gives:
% 260.70/66.41 | (119) all_4_94 = n5
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_95, all_4_94, n8, n8, simplifying
% 260.70/66.41 | with (117), (118) gives:
% 260.70/66.41 | (120) all_4_94 = all_4_95
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (119), (120) imply:
% 260.70/66.41 | (121) all_4_95 = n5
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (62), (119) imply:
% 260.70/66.41 | (122) pred(n5) = all_4_52
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (6), (121) imply:
% 260.70/66.41 | (123) pred(n5) = all_4_55
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (15), (119) imply:
% 260.70/66.41 | (124) succ(n5) = all_4_54
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (1), (121) imply:
% 260.70/66.41 | (125) succ(n5) = all_4_51
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (28) with n6, all_4_51, n5, simplifying with (44),
% 260.70/66.41 | (125) gives:
% 260.70/66.41 | (126) all_4_51 = n6
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (28) with all_4_54, all_4_51, n5, simplifying with
% 260.70/66.41 | (124), (125) gives:
% 260.70/66.41 | (127) all_4_51 = all_4_54
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (57) with n4, all_4_52, n5, simplifying with (24),
% 260.70/66.41 | (122) gives:
% 260.70/66.41 | (128) all_4_52 = n4
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n5, simplifying with
% 260.70/66.41 | (122), (123) gives:
% 260.70/66.41 | (129) all_4_52 = all_4_55
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (126), (127) imply:
% 260.70/66.41 | (130) all_4_54 = n6
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (128), (129) imply:
% 260.70/66.41 | (131) all_4_55 = n4
% 260.70/66.41 |
% 260.70/66.41 | SIMP: (131) implies:
% 260.70/66.41 | (132) all_4_55 = n4
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (58), (126), (128) imply:
% 260.70/66.41 | (133) sum(n4, n6) = all_4_50
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (9), (128), (130) imply:
% 260.70/66.41 | (134) sum(n4, n6) = all_4_48
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (34), (126), (132) imply:
% 260.70/66.41 | (135) sum(n4, n6) = all_4_49
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (12), (130), (132) imply:
% 260.70/66.41 | (136) sum(n4, n6) = all_4_53
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with n10, all_4_49, n6, n4, simplifying with
% 260.70/66.41 | (3), (135) gives:
% 260.70/66.41 | (137) all_4_49 = n10
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_50, all_4_49, n6, n4, simplifying
% 260.70/66.41 | with (133), (135) gives:
% 260.70/66.41 | (138) all_4_49 = all_4_50
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_49, all_4_48, n6, n4, simplifying
% 260.70/66.41 | with (134), (135) gives:
% 260.70/66.41 | (139) all_4_48 = all_4_49
% 260.70/66.41 |
% 260.70/66.41 | GROUND_INST: instantiating (41) with all_4_53, all_4_48, n6, n4, simplifying
% 260.70/66.41 | with (134), (136) gives:
% 260.70/66.41 | (140) all_4_48 = all_4_53
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (139), (140) imply:
% 260.70/66.41 | (141) all_4_49 = all_4_53
% 260.70/66.41 |
% 260.70/66.41 | SIMP: (141) implies:
% 260.70/66.41 | (142) all_4_49 = all_4_53
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (137), (138) imply:
% 260.70/66.41 | (143) all_4_50 = n10
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (138), (142) imply:
% 260.70/66.41 | (144) all_4_50 = all_4_53
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (143), (144) imply:
% 260.70/66.41 | (145) all_4_53 = n10
% 260.70/66.41 |
% 260.70/66.41 | COMBINE_EQS: (140), (145) imply:
% 260.70/66.41 | (146) all_4_48 = n10
% 260.70/66.41 |
% 260.70/66.41 | REDUCE: (56), (137), (146) imply:
% 260.75/66.41 | (147) sum(n10, n10) = all_4_92
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (59), (143), (145) imply:
% 260.75/66.41 | (148) sum(n10, n10) = all_4_93
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with n9, all_4_92, n10, n10, simplifying with
% 260.75/66.41 | (22), (147) gives:
% 260.75/66.41 | (149) all_4_92 = n9
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with all_4_93, all_4_92, n10, n10, simplifying
% 260.75/66.41 | with (147), (148) gives:
% 260.75/66.41 | (150) all_4_92 = all_4_93
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (149), (150) imply:
% 260.75/66.41 | (151) all_4_93 = n9
% 260.75/66.41 |
% 260.75/66.41 | SIMP: (151) implies:
% 260.75/66.41 | (152) all_4_93 = n9
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (25), (149) imply:
% 260.75/66.41 | (153) pred(n9) = all_4_44
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (36), (152) imply:
% 260.75/66.41 | (154) pred(n9) = all_4_47
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (4), (149) imply:
% 260.75/66.41 | (155) succ(n9) = all_4_46
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (60), (152) imply:
% 260.75/66.41 | (156) succ(n9) = all_4_43
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (28) with n10, all_4_43, n9, simplifying with (8),
% 260.75/66.41 | (156) gives:
% 260.75/66.41 | (157) all_4_43 = n10
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (28) with all_4_46, all_4_43, n9, simplifying with
% 260.75/66.41 | (155), (156) gives:
% 260.75/66.41 | (158) all_4_43 = all_4_46
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (57) with n8, all_4_44, n9, simplifying with (31),
% 260.75/66.41 | (153) gives:
% 260.75/66.41 | (159) all_4_44 = n8
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (57) with all_4_47, all_4_44, n9, simplifying with
% 260.75/66.41 | (153), (154) gives:
% 260.75/66.41 | (160) all_4_44 = all_4_47
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (157), (158) imply:
% 260.75/66.41 | (161) all_4_46 = n10
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (159), (160) imply:
% 260.75/66.41 | (162) all_4_47 = n8
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (43), (157), (159) imply:
% 260.75/66.41 | (163) sum(n8, n10) = all_4_42
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (7), (159), (161) imply:
% 260.75/66.41 | (164) sum(n8, n10) = all_4_40
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (23), (157), (162) imply:
% 260.75/66.41 | (165) sum(n8, n10) = all_4_41
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (35), (161), (162) imply:
% 260.75/66.41 | (166) sum(n8, n10) = all_4_45
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with n7, all_4_41, n10, n8, simplifying with
% 260.75/66.41 | (18), (165) gives:
% 260.75/66.41 | (167) all_4_41 = n7
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with all_4_42, all_4_41, n10, n8, simplifying
% 260.75/66.41 | with (163), (165) gives:
% 260.75/66.41 | (168) all_4_41 = all_4_42
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with all_4_41, all_4_40, n10, n8, simplifying
% 260.75/66.41 | with (164), (165) gives:
% 260.75/66.41 | (169) all_4_40 = all_4_41
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with all_4_45, all_4_40, n10, n8, simplifying
% 260.75/66.41 | with (164), (166) gives:
% 260.75/66.41 | (170) all_4_40 = all_4_45
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (169), (170) imply:
% 260.75/66.41 | (171) all_4_41 = all_4_45
% 260.75/66.41 |
% 260.75/66.41 | SIMP: (171) implies:
% 260.75/66.41 | (172) all_4_41 = all_4_45
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (167), (168) imply:
% 260.75/66.41 | (173) all_4_42 = n7
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (168), (172) imply:
% 260.75/66.41 | (174) all_4_42 = all_4_45
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (173), (174) imply:
% 260.75/66.41 | (175) all_4_45 = n7
% 260.75/66.41 |
% 260.75/66.41 | SIMP: (175) implies:
% 260.75/66.41 | (176) all_4_45 = n7
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (170), (176) imply:
% 260.75/66.41 | (177) all_4_40 = n7
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (39), (167), (177) imply:
% 260.75/66.41 | (178) sum(n7, n7) = all_4_90
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (42), (173), (176) imply:
% 260.75/66.41 | (179) sum(n7, n7) = all_4_91
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with n3, all_4_91, n7, n7, simplifying with
% 260.75/66.41 | (54), (179) gives:
% 260.75/66.41 | (180) all_4_91 = n3
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (41) with n3, all_4_90, n7, n7, simplifying with
% 260.75/66.41 | (54), (178) gives:
% 260.75/66.41 | (181) all_4_90 = n3
% 260.75/66.41 |
% 260.75/66.41 | REF_CLOSE: (48), (49), (55), (89), (92), (119), (121), (149), (152), (180),
% 260.75/66.41 | (181) are inconsistent by sub-proof #141.
% 260.75/66.41 |
% 260.75/66.41 End of proof
% 260.75/66.41
% 260.75/66.41 Sub-proof #29 shows that the following formulas are inconsistent:
% 260.75/66.41 ----------------------------------------------------------------
% 260.75/66.41 (1) succ(all_4_95) = all_4_51
% 260.75/66.41 (2) sum(n6, n6) = all_4_99
% 260.75/66.41 (3) succ(n1) = n2
% 260.75/66.41 (4) succ(all_4_91) = all_4_35
% 260.75/66.41 (5) sum(n4, n6) = n10
% 260.75/66.41 (6) succ(all_4_92) = all_4_46
% 260.75/66.41 (7) sum(n2, n2) = n4
% 260.75/66.41 (8) pred(all_4_95) = all_4_55
% 260.75/66.41 (9) sum(all_4_44, all_4_46) = all_4_40
% 260.75/66.41 (10) succ(n9) = n10
% 260.75/66.41 (11) sum(all_4_52, all_4_54) = all_4_48
% 260.75/66.41 (12) sum(all_4_60, all_4_62) = all_4_56
% 260.75/66.41 (13) sum(all_4_71, all_4_70) = all_4_69
% 260.75/66.41 (14) sum(all_4_55, all_4_54) = all_4_53
% 260.75/66.41 (15) sum(n2, n4) = n6
% 260.75/66.41 (16) ~ (all_4_88 = all_4_89)
% 260.75/66.41 (17) sum(all_4_63, all_4_59) = all_4_57
% 260.75/66.41 (18) sum(all_4_63, all_4_62) = all_4_61
% 260.75/66.41 (19) succ(all_4_94) = all_4_54
% 260.75/66.41 (20) sum(all_4_37, all_4_34) = all_4_89
% 260.75/66.41 (21) sum(n8, n8) = n5
% 260.75/66.41 (22) pred(all_4_99) = all_4_71
% 260.75/66.41 (23) succ(all_4_90) = all_4_38
% 260.75/66.41 (24) sum(n8, n10) = n7
% 260.75/66.41 (25) sum(all_4_57, all_4_56) = all_4_94
% 260.75/66.41 (26) sum(n0, n2) = n2
% 260.75/66.41 (27) sum(all_4_33, all_4_32) = all_4_88
% 260.75/66.41 (28) sum(n3, n5) = n8
% 260.75/66.41 (29) sum(n10, n10) = n9
% 260.75/66.41 (30) sum(all_4_47, all_4_43) = all_4_41
% 260.75/66.41 (31) pred(n5) = n4
% 260.75/66.41 (32) pred(all_4_91) = all_4_39
% 260.75/66.41 (33) pred(all_4_92) = all_4_44
% 260.75/66.41 (34) sum(all_4_65, all_4_64) = all_4_96
% 260.75/66.41 (35) pred(n4) = n3
% 260.75/66.41 (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.75/66.41 | ~ (succ(v2) = v0))
% 260.75/66.41 (37) pred(all_4_97) = all_4_63
% 260.75/66.41 (38) succ(all_4_99) = all_4_67
% 260.75/66.41 (39) pred(n9) = n8
% 260.75/66.41 (40) succ(n3) = n4
% 260.75/66.41 (41) pred(all_4_96) = all_4_60
% 260.75/66.41 (42) succ(all_4_96) = all_4_62
% 260.75/66.41 (43) pred(n3) = n2
% 260.75/66.41 (44) sum(all_4_55, all_4_51) = all_4_49
% 260.75/66.41 (45) sum(all_4_36, all_4_35) = all_4_34
% 260.75/66.41 (46) sum(all_4_47, all_4_46) = all_4_45
% 260.75/66.41 (47) pred(all_4_93) = all_4_47
% 260.75/66.41 (48) sum(all_4_71, all_4_67) = all_4_65
% 260.75/66.41 (49) sum(all_4_60, all_4_59) = all_4_58
% 260.75/66.41 (50) sum(all_4_41, all_4_40) = all_4_90
% 260.75/66.41 (51) sum(all_4_68, all_4_67) = all_4_66
% 260.75/66.41 (52) sum(all_4_39, all_4_35) = all_4_33
% 260.75/66.41 (53) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.75/66.41 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.75/66.41 (54) sum(all_4_45, all_4_42) = all_4_91
% 260.75/66.41 (55) sum(all_4_39, all_4_38) = all_4_37
% 260.75/66.41 (56) sum(all_4_44, all_4_43) = all_4_42
% 260.75/66.41 (57) succ(n5) = n6
% 260.75/66.41 (58) sum(all_4_69, all_4_66) = all_4_97
% 260.75/66.41 (59) succ(n4) = n5
% 260.75/66.41 (60) succ(all_4_98) = all_4_70
% 260.75/66.41 (61) pred(all_4_90) = all_4_36
% 260.75/66.41 (62) all_4_99 = n1
% 260.75/66.41 (63) pred(n1) = n0
% 260.75/66.41 (64) sum(all_4_68, all_4_70) = all_4_64
% 260.75/66.41 (65) succ(all_4_97) = all_4_59
% 260.75/66.41 (66) sum(all_4_36, all_4_38) = all_4_32
% 260.75/66.41 (67) sum(all_4_61, all_4_58) = all_4_95
% 260.75/66.41 (68) sum(n7, n7) = n3
% 260.75/66.41 (69) all_4_98 = n1
% 260.75/66.41 (70) sum(all_4_49, all_4_48) = all_4_92
% 260.75/66.41 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.75/66.41 | ~ (pred(v2) = v0))
% 260.75/66.41 (72) sum(all_4_52, all_4_51) = all_4_50
% 260.75/66.41 (73) sum(all_4_53, all_4_50) = all_4_93
% 260.75/66.41 (74) succ(all_4_93) = all_4_43
% 260.75/66.41 (75) pred(all_4_98) = all_4_68
% 260.75/66.41 (76) pred(all_4_94) = all_4_52
% 260.75/66.41
% 260.75/66.41 Begin of proof
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (69), (75) imply:
% 260.75/66.41 | (77) pred(n1) = all_4_68
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (22), (62) imply:
% 260.75/66.41 | (78) pred(n1) = all_4_71
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (60), (69) imply:
% 260.75/66.41 | (79) succ(n1) = all_4_70
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (38), (62) imply:
% 260.75/66.41 | (80) succ(n1) = all_4_67
% 260.75/66.41 |
% 260.75/66.41 | REDUCE: (2), (62) imply:
% 260.75/66.41 | (81) sum(n6, n6) = n1
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (36) with n2, all_4_67, n1, simplifying with (3),
% 260.75/66.41 | (80) gives:
% 260.75/66.41 | (82) all_4_67 = n2
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (36) with all_4_70, all_4_67, n1, simplifying with
% 260.75/66.41 | (79), (80) gives:
% 260.75/66.41 | (83) all_4_67 = all_4_70
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (71) with n0, all_4_68, n1, simplifying with (63),
% 260.75/66.41 | (77) gives:
% 260.75/66.41 | (84) all_4_68 = n0
% 260.75/66.41 |
% 260.75/66.41 | GROUND_INST: instantiating (71) with all_4_71, all_4_68, n1, simplifying with
% 260.75/66.41 | (77), (78) gives:
% 260.75/66.41 | (85) all_4_68 = all_4_71
% 260.75/66.41 |
% 260.75/66.41 | COMBINE_EQS: (82), (83) imply:
% 260.75/66.42 | (86) all_4_70 = n2
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (84), (85) imply:
% 260.75/66.42 | (87) all_4_71 = n0
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (51), (82), (84) imply:
% 260.75/66.42 | (88) sum(n0, n2) = all_4_66
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (64), (84), (86) imply:
% 260.75/66.42 | (89) sum(n0, n2) = all_4_64
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (48), (82), (87) imply:
% 260.75/66.42 | (90) sum(n0, n2) = all_4_65
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (13), (86), (87) imply:
% 260.75/66.42 | (91) sum(n0, n2) = all_4_69
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n2, all_4_65, n2, n0, simplifying with
% 260.75/66.42 | (26), (90) gives:
% 260.75/66.42 | (92) all_4_65 = n2
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_66, all_4_65, n2, n0, simplifying
% 260.75/66.42 | with (88), (90) gives:
% 260.75/66.42 | (93) all_4_65 = all_4_66
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_66, all_4_64, n2, n0, simplifying
% 260.75/66.42 | with (88), (89) gives:
% 260.75/66.42 | (94) all_4_64 = all_4_66
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_69, all_4_64, n2, n0, simplifying
% 260.75/66.42 | with (89), (91) gives:
% 260.75/66.42 | (95) all_4_64 = all_4_69
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (94), (95) imply:
% 260.75/66.42 | (96) all_4_66 = all_4_69
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (96) implies:
% 260.75/66.42 | (97) all_4_66 = all_4_69
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (92), (93) imply:
% 260.75/66.42 | (98) all_4_66 = n2
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (98) implies:
% 260.75/66.42 | (99) all_4_66 = n2
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (97), (99) imply:
% 260.75/66.42 | (100) all_4_69 = n2
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (95), (100) imply:
% 260.75/66.42 | (101) all_4_64 = n2
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (34), (92), (101) imply:
% 260.75/66.42 | (102) sum(n2, n2) = all_4_96
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (58), (99), (100) imply:
% 260.75/66.42 | (103) sum(n2, n2) = all_4_97
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n4, all_4_96, n2, n2, simplifying with
% 260.75/66.42 | (7), (102) gives:
% 260.75/66.42 | (104) all_4_96 = n4
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_97, all_4_96, n2, n2, simplifying
% 260.75/66.42 | with (102), (103) gives:
% 260.75/66.42 | (105) all_4_96 = all_4_97
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (104), (105) imply:
% 260.75/66.42 | (106) all_4_97 = n4
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (106) implies:
% 260.75/66.42 | (107) all_4_97 = n4
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (41), (104) imply:
% 260.75/66.42 | (108) pred(n4) = all_4_60
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (37), (107) imply:
% 260.75/66.42 | (109) pred(n4) = all_4_63
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (42), (104) imply:
% 260.75/66.42 | (110) succ(n4) = all_4_62
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (65), (107) imply:
% 260.75/66.42 | (111) succ(n4) = all_4_59
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with n5, all_4_59, n4, simplifying with (59),
% 260.75/66.42 | (111) gives:
% 260.75/66.42 | (112) all_4_59 = n5
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with all_4_62, all_4_59, n4, simplifying with
% 260.75/66.42 | (110), (111) gives:
% 260.75/66.42 | (113) all_4_59 = all_4_62
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (71) with n3, all_4_60, n4, simplifying with (35),
% 260.75/66.42 | (108) gives:
% 260.75/66.42 | (114) all_4_60 = n3
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (71) with all_4_63, all_4_60, n4, simplifying with
% 260.75/66.42 | (108), (109) gives:
% 260.75/66.42 | (115) all_4_60 = all_4_63
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (112), (113) imply:
% 260.75/66.42 | (116) all_4_62 = n5
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (114), (115) imply:
% 260.75/66.42 | (117) all_4_63 = n3
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (49), (112), (114) imply:
% 260.75/66.42 | (118) sum(n3, n5) = all_4_58
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (12), (114), (116) imply:
% 260.75/66.42 | (119) sum(n3, n5) = all_4_56
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (17), (112), (117) imply:
% 260.75/66.42 | (120) sum(n3, n5) = all_4_57
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (18), (116), (117) imply:
% 260.75/66.42 | (121) sum(n3, n5) = all_4_61
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n8, all_4_57, n5, n3, simplifying with
% 260.75/66.42 | (28), (120) gives:
% 260.75/66.42 | (122) all_4_57 = n8
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_58, all_4_57, n5, n3, simplifying
% 260.75/66.42 | with (118), (120) gives:
% 260.75/66.42 | (123) all_4_57 = all_4_58
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_57, all_4_56, n5, n3, simplifying
% 260.75/66.42 | with (119), (120) gives:
% 260.75/66.42 | (124) all_4_56 = all_4_57
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_61, all_4_56, n5, n3, simplifying
% 260.75/66.42 | with (119), (121) gives:
% 260.75/66.42 | (125) all_4_56 = all_4_61
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (124), (125) imply:
% 260.75/66.42 | (126) all_4_57 = all_4_61
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (126) implies:
% 260.75/66.42 | (127) all_4_57 = all_4_61
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (122), (123) imply:
% 260.75/66.42 | (128) all_4_58 = n8
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (123), (127) imply:
% 260.75/66.42 | (129) all_4_58 = all_4_61
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (128), (129) imply:
% 260.75/66.42 | (130) all_4_61 = n8
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (125), (130) imply:
% 260.75/66.42 | (131) all_4_56 = n8
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (25), (122), (131) imply:
% 260.75/66.42 | (132) sum(n8, n8) = all_4_94
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (67), (128), (130) imply:
% 260.75/66.42 | (133) sum(n8, n8) = all_4_95
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n5, all_4_94, n8, n8, simplifying with
% 260.75/66.42 | (21), (132) gives:
% 260.75/66.42 | (134) all_4_94 = n5
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_95, all_4_94, n8, n8, simplifying
% 260.75/66.42 | with (132), (133) gives:
% 260.75/66.42 | (135) all_4_94 = all_4_95
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (134), (135) imply:
% 260.75/66.42 | (136) all_4_95 = n5
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (76), (134) imply:
% 260.75/66.42 | (137) pred(n5) = all_4_52
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (8), (136) imply:
% 260.75/66.42 | (138) pred(n5) = all_4_55
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (19), (134) imply:
% 260.75/66.42 | (139) succ(n5) = all_4_54
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (1), (136) imply:
% 260.75/66.42 | (140) succ(n5) = all_4_51
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with n6, all_4_51, n5, simplifying with (57),
% 260.75/66.42 | (140) gives:
% 260.75/66.42 | (141) all_4_51 = n6
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with all_4_54, all_4_51, n5, simplifying with
% 260.75/66.42 | (139), (140) gives:
% 260.75/66.42 | (142) all_4_51 = all_4_54
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (71) with n4, all_4_52, n5, simplifying with (31),
% 260.75/66.42 | (137) gives:
% 260.75/66.42 | (143) all_4_52 = n4
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (71) with all_4_55, all_4_52, n5, simplifying with
% 260.75/66.42 | (137), (138) gives:
% 260.75/66.42 | (144) all_4_52 = all_4_55
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (141), (142) imply:
% 260.75/66.42 | (145) all_4_54 = n6
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (143), (144) imply:
% 260.75/66.42 | (146) all_4_55 = n4
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (146) implies:
% 260.75/66.42 | (147) all_4_55 = n4
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (72), (141), (143) imply:
% 260.75/66.42 | (148) sum(n4, n6) = all_4_50
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (11), (143), (145) imply:
% 260.75/66.42 | (149) sum(n4, n6) = all_4_48
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (44), (141), (147) imply:
% 260.75/66.42 | (150) sum(n4, n6) = all_4_49
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (14), (145), (147) imply:
% 260.75/66.42 | (151) sum(n4, n6) = all_4_53
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n10, all_4_49, n6, n4, simplifying with
% 260.75/66.42 | (5), (150) gives:
% 260.75/66.42 | (152) all_4_49 = n10
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_50, all_4_49, n6, n4, simplifying
% 260.75/66.42 | with (148), (150) gives:
% 260.75/66.42 | (153) all_4_49 = all_4_50
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_49, all_4_48, n6, n4, simplifying
% 260.75/66.42 | with (149), (150) gives:
% 260.75/66.42 | (154) all_4_48 = all_4_49
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_53, all_4_48, n6, n4, simplifying
% 260.75/66.42 | with (149), (151) gives:
% 260.75/66.42 | (155) all_4_48 = all_4_53
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (154), (155) imply:
% 260.75/66.42 | (156) all_4_49 = all_4_53
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (156) implies:
% 260.75/66.42 | (157) all_4_49 = all_4_53
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (152), (153) imply:
% 260.75/66.42 | (158) all_4_50 = n10
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (153), (157) imply:
% 260.75/66.42 | (159) all_4_50 = all_4_53
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (158), (159) imply:
% 260.75/66.42 | (160) all_4_53 = n10
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (155), (160) imply:
% 260.75/66.42 | (161) all_4_48 = n10
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (70), (152), (161) imply:
% 260.75/66.42 | (162) sum(n10, n10) = all_4_92
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (73), (158), (160) imply:
% 260.75/66.42 | (163) sum(n10, n10) = all_4_93
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n9, all_4_92, n10, n10, simplifying with
% 260.75/66.42 | (29), (162) gives:
% 260.75/66.42 | (164) all_4_92 = n9
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_93, all_4_92, n10, n10, simplifying
% 260.75/66.42 | with (162), (163) gives:
% 260.75/66.42 | (165) all_4_92 = all_4_93
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (164), (165) imply:
% 260.75/66.42 | (166) all_4_93 = n9
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (166) implies:
% 260.75/66.42 | (167) all_4_93 = n9
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (33), (164) imply:
% 260.75/66.42 | (168) pred(n9) = all_4_44
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (47), (167) imply:
% 260.75/66.42 | (169) pred(n9) = all_4_47
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (6), (164) imply:
% 260.75/66.42 | (170) succ(n9) = all_4_46
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (74), (167) imply:
% 260.75/66.42 | (171) succ(n9) = all_4_43
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with n10, all_4_43, n9, simplifying with (10),
% 260.75/66.42 | (171) gives:
% 260.75/66.42 | (172) all_4_43 = n10
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with all_4_46, all_4_43, n9, simplifying with
% 260.75/66.42 | (170), (171) gives:
% 260.75/66.42 | (173) all_4_43 = all_4_46
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (71) with n8, all_4_44, n9, simplifying with (39),
% 260.75/66.42 | (168) gives:
% 260.75/66.42 | (174) all_4_44 = n8
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (71) with all_4_47, all_4_44, n9, simplifying with
% 260.75/66.42 | (168), (169) gives:
% 260.75/66.42 | (175) all_4_44 = all_4_47
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (172), (173) imply:
% 260.75/66.42 | (176) all_4_46 = n10
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (174), (175) imply:
% 260.75/66.42 | (177) all_4_47 = n8
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (56), (172), (174) imply:
% 260.75/66.42 | (178) sum(n8, n10) = all_4_42
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (9), (174), (176) imply:
% 260.75/66.42 | (179) sum(n8, n10) = all_4_40
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (30), (172), (177) imply:
% 260.75/66.42 | (180) sum(n8, n10) = all_4_41
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (46), (176), (177) imply:
% 260.75/66.42 | (181) sum(n8, n10) = all_4_45
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n7, all_4_41, n10, n8, simplifying with
% 260.75/66.42 | (24), (180) gives:
% 260.75/66.42 | (182) all_4_41 = n7
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_42, all_4_41, n10, n8, simplifying
% 260.75/66.42 | with (178), (180) gives:
% 260.75/66.42 | (183) all_4_41 = all_4_42
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_41, all_4_40, n10, n8, simplifying
% 260.75/66.42 | with (179), (180) gives:
% 260.75/66.42 | (184) all_4_40 = all_4_41
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_45, all_4_40, n10, n8, simplifying
% 260.75/66.42 | with (179), (181) gives:
% 260.75/66.42 | (185) all_4_40 = all_4_45
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (184), (185) imply:
% 260.75/66.42 | (186) all_4_41 = all_4_45
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (186) implies:
% 260.75/66.42 | (187) all_4_41 = all_4_45
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (182), (183) imply:
% 260.75/66.42 | (188) all_4_42 = n7
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (183), (187) imply:
% 260.75/66.42 | (189) all_4_42 = all_4_45
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (188), (189) imply:
% 260.75/66.42 | (190) all_4_45 = n7
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (190) implies:
% 260.75/66.42 | (191) all_4_45 = n7
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (185), (191) imply:
% 260.75/66.42 | (192) all_4_40 = n7
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (50), (182), (192) imply:
% 260.75/66.42 | (193) sum(n7, n7) = all_4_90
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (54), (188), (191) imply:
% 260.75/66.42 | (194) sum(n7, n7) = all_4_91
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with n3, all_4_90, n7, n7, simplifying with
% 260.75/66.42 | (68), (193) gives:
% 260.75/66.42 | (195) all_4_90 = n3
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (53) with all_4_91, all_4_90, n7, n7, simplifying
% 260.75/66.42 | with (193), (194) gives:
% 260.75/66.42 | (196) all_4_90 = all_4_91
% 260.75/66.42 |
% 260.75/66.42 | COMBINE_EQS: (195), (196) imply:
% 260.75/66.42 | (197) all_4_91 = n3
% 260.75/66.42 |
% 260.75/66.42 | SIMP: (197) implies:
% 260.75/66.42 | (198) all_4_91 = n3
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (61), (195) imply:
% 260.75/66.42 | (199) pred(n3) = all_4_36
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (32), (198) imply:
% 260.75/66.42 | (200) pred(n3) = all_4_39
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (23), (195) imply:
% 260.75/66.42 | (201) succ(n3) = all_4_38
% 260.75/66.42 |
% 260.75/66.42 | REDUCE: (4), (198) imply:
% 260.75/66.42 | (202) succ(n3) = all_4_35
% 260.75/66.42 |
% 260.75/66.42 | GROUND_INST: instantiating (36) with n4, all_4_35, n3, simplifying with (40),
% 260.75/66.42 | (202) gives:
% 260.75/66.42 | (203) all_4_35 = n4
% 260.75/66.42 |
% 260.75/66.42 | REF_CLOSE: (15), (16), (20), (27), (36), (43), (45), (52), (53), (55), (66),
% 260.75/66.42 | (71), (81), (199), (200), (201), (202), (203) are inconsistent by
% 260.75/66.42 | sub-proof #145.
% 260.75/66.42 |
% 260.75/66.42 End of proof
% 260.75/66.42
% 260.75/66.42 Sub-proof #30 shows that the following formulas are inconsistent:
% 260.75/66.42 ----------------------------------------------------------------
% 260.75/66.42 (1) succ(all_4_95) = all_4_51
% 260.75/66.42 (2) succ(n1) = n2
% 260.75/66.42 (3) sum(n6, n2) = n8
% 260.75/66.42 (4) sum(n4, n6) = n10
% 260.75/66.42 (5) succ(all_4_92) = all_4_46
% 260.75/66.42 (6) sum(n2, n2) = n4
% 260.75/66.42 (7) pred(all_4_95) = all_4_55
% 260.75/66.42 (8) sum(all_4_44, all_4_46) = all_4_40
% 260.75/66.42 (9) succ(n9) = n10
% 260.75/66.42 (10) sum(all_4_52, all_4_54) = all_4_48
% 260.75/66.42 (11) sum(n3, n3) = n6
% 260.75/66.42 (12) sum(all_4_60, all_4_62) = all_4_56
% 260.75/66.42 (13) sum(all_4_71, all_4_70) = all_4_69
% 260.75/66.42 (14) sum(all_4_55, all_4_54) = all_4_53
% 260.75/66.42 (15) sum(n2, n4) = n6
% 260.75/66.42 (16) sum(all_4_63, all_4_59) = all_4_57
% 260.75/66.42 (17) pred(all_4_101) = all_4_79
% 260.75/66.42 (18) sum(all_4_63, all_4_62) = all_4_61
% 260.75/66.42 (19) succ(all_4_94) = all_4_54
% 260.75/66.42 (20) sum(n10, n1) = n0
% 260.75/66.42 (21) sum(n8, n8) = n5
% 260.75/66.42 (22) sum(n1, n8) = n9
% 260.75/66.42 (23) pred(n8) = n7
% 260.75/66.42 (24) pred(all_4_99) = all_4_71
% 260.75/66.42 (25) sum(n6, n8) = n3
% 260.75/66.42 (26) succ(n0) = n1
% 260.75/66.42 (27) sum(n8, n10) = n7
% 260.75/66.42 (28) sum(all_4_57, all_4_56) = all_4_94
% 260.75/66.42 (29) sum(n0, n2) = n2
% 260.75/66.42 (30) sum(n3, n5) = n8
% 260.75/66.42 (31) sum(n10, n10) = n9
% 260.75/66.42 (32) sum(all_4_47, all_4_43) = all_4_41
% 260.75/66.42 (33) sum(n6, n1) = n7
% 260.75/66.42 (34) pred(n5) = n4
% 260.75/66.42 (35) pred(all_4_92) = all_4_44
% 260.75/66.42 (36) sum(n0, n8) = n8
% 260.75/66.42 (37) sum(n5, n7) = n1
% 260.75/66.42 (38) sum(all_4_65, all_4_64) = all_4_96
% 260.75/66.42 (39) sum(n6, all_4_75) = all_4_74
% 260.75/66.42 (40) pred(n4) = n3
% 260.75/66.42 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.75/66.42 | ~ (succ(v2) = v0))
% 260.75/66.42 (42) pred(all_4_97) = all_4_63
% 260.75/66.42 (43) succ(all_4_99) = all_4_67
% 260.75/66.42 (44) pred(n9) = n8
% 260.75/66.42 (45) succ(n3) = n4
% 260.75/66.42 (46) pred(n6) = n5
% 260.75/66.42 (47) pred(all_4_96) = all_4_60
% 260.75/66.42 (48) succ(all_4_96) = all_4_62
% 260.75/66.42 (49) pred(n3) = n2
% 260.75/66.42 (50) sum(all_4_55, all_4_51) = all_4_49
% 260.75/66.42 (51) pred(n7) = n6
% 260.75/66.42 (52) succ(n7) = n8
% 260.75/66.42 (53) sum(all_4_47, all_4_46) = all_4_45
% 260.75/66.42 (54) pred(all_4_93) = all_4_47
% 260.75/66.42 (55) sum(all_4_71, all_4_67) = all_4_65
% 260.75/66.42 (56) sum(all_4_60, all_4_59) = all_4_58
% 260.75/66.42 (57) sum(n5, n5) = n10
% 260.75/66.42 (58) sum(all_4_41, all_4_40) = all_4_90
% 260.75/66.42 (59) sum(n2, n3) = n5
% 260.75/66.42 (60) succ(n2) = n3
% 260.75/66.42 (61) sum(n10, n8) = n7
% 260.75/66.42 (62) sum(all_4_68, all_4_67) = all_4_66
% 260.75/66.42 (63) succ(n6) = n7
% 260.75/66.42 (64) succ(n8) = n9
% 260.75/66.42 (65) sum(n6, n3) = n9
% 260.75/66.42 (66) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.75/66.42 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.75/66.42 (67) sum(all_4_73, n3) = all_4_98
% 260.75/66.42 (68) sum(all_4_45, all_4_42) = all_4_91
% 260.75/66.42 (69) sum(n9, n9) = n7
% 260.75/66.42 (70) sum(n6, n6) = n1
% 260.75/66.42 (71) sum(all_4_44, all_4_43) = all_4_42
% 260.75/66.42 (72) succ(n5) = n6
% 260.75/66.42 (73) sum(all_4_79, n8) = all_4_77
% 260.75/66.42 (74) sum(all_4_69, all_4_66) = all_4_97
% 260.75/66.42 (75) sum(n7, n9) = n5
% 260.75/66.42 (76) succ(n4) = n5
% 260.75/66.42 (77) sum(all_4_79, all_4_75) = all_4_73
% 260.75/66.42 (78) pred(n2) = n1
% 260.75/66.42 (79) succ(all_4_98) = all_4_70
% 260.75/66.42 (80) sum(n4, n3) = n7
% 260.75/66.42 (81) sum(n0, n3) = n3
% 260.75/66.42 (82) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.75/66.42 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.75/66.42 (83) sum(n4, n4) = n8
% 260.75/66.42 (84) pred(n1) = n0
% 260.75/66.42 (85) succ(all_4_101) = all_4_75
% 260.75/66.42 (86) sum(all_4_68, all_4_70) = all_4_64
% 260.75/66.42 (87) succ(all_4_97) = all_4_59
% 260.75/66.42 (88) sum(all_4_77, all_4_74) = all_4_99
% 260.75/66.42 (89) sum(all_4_61, all_4_58) = all_4_95
% 260.75/66.42 (90) sum(n7, n7) = n3
% 260.75/66.42 (91) sum(all_4_49, all_4_48) = all_4_92
% 260.75/66.42 (92) sum(n1, n3) = n4
% 260.75/66.42 (93) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.75/66.42 | ~ (pred(v2) = v0))
% 260.75/66.42 (94) sum(n1, n1) = n2
% 260.75/66.42 (95) sum(all_4_52, all_4_51) = all_4_50
% 260.75/66.42 (96) sum(all_4_53, all_4_50) = all_4_93
% 260.75/66.42 (97) succ(all_4_93) = all_4_43
% 260.75/66.42 (98) pred(all_4_98) = all_4_68
% 260.75/66.42 (99) pred(n0) = n10
% 260.75/66.42 (100) pred(all_4_94) = all_4_52
% 260.75/66.42 (101) all_4_101 = n2 | all_4_101 = n1 | all_4_101 = n0
% 260.75/66.42
% 260.75/66.42 Begin of proof
% 260.75/66.42 |
% 260.75/66.42 | BETA: splitting (101) gives:
% 260.75/66.42 |
% 260.75/66.42 | Case 1:
% 260.75/66.42 | |
% 260.75/66.42 | | (102) all_4_101 = n2
% 260.75/66.42 | |
% 260.75/66.42 | | REDUCE: (17), (102) imply:
% 260.75/66.42 | | (103) pred(n2) = all_4_79
% 260.75/66.42 | |
% 260.75/66.42 | | REDUCE: (85), (102) imply:
% 260.75/66.42 | | (104) succ(n2) = all_4_75
% 260.75/66.42 | |
% 260.75/66.42 | | GROUND_INST: instantiating (41) with n3, all_4_75, n2, simplifying with
% 260.75/66.42 | | (60), (104) gives:
% 260.75/66.42 | | (105) all_4_75 = n3
% 260.75/66.42 | |
% 260.75/66.42 | | GROUND_INST: instantiating (93) with n1, all_4_79, n2, simplifying with
% 260.75/66.42 | | (78), (103) gives:
% 260.75/66.42 | | (106) all_4_79 = n1
% 260.75/66.42 | |
% 260.75/66.42 | | REDUCE: (77), (105), (106) imply:
% 260.75/66.42 | | (107) sum(n1, n3) = all_4_73
% 260.75/66.42 | |
% 260.75/66.42 | | REDUCE: (73), (106) imply:
% 260.75/66.42 | | (108) sum(n1, n8) = all_4_77
% 260.75/66.42 | |
% 260.75/66.42 | | REDUCE: (39), (105) imply:
% 260.75/66.42 | | (109) sum(n6, n3) = all_4_74
% 260.75/66.42 | |
% 260.75/66.42 | | GROUND_INST: instantiating (66) with n4, all_4_73, n3, n1, simplifying with
% 260.75/66.42 | | (92), (107) gives:
% 260.76/66.42 | | (110) all_4_73 = n4
% 260.76/66.42 | |
% 260.76/66.42 | | GROUND_INST: instantiating (66) with n9, all_4_77, n8, n1, simplifying with
% 260.76/66.42 | | (22), (108) gives:
% 260.76/66.42 | | (111) all_4_77 = n9
% 260.76/66.42 | |
% 260.76/66.42 | | GROUND_INST: instantiating (66) with n9, all_4_74, n3, n6, simplifying with
% 260.76/66.42 | | (65), (109) gives:
% 260.76/66.42 | | (112) all_4_74 = n9
% 260.76/66.42 | |
% 260.76/66.42 | | REDUCE: (67), (110) imply:
% 260.76/66.42 | | (113) sum(n4, n3) = all_4_98
% 260.76/66.42 | |
% 260.76/66.42 | | REDUCE: (88), (111), (112) imply:
% 260.76/66.42 | | (114) sum(n9, n9) = all_4_99
% 260.76/66.42 | |
% 260.76/66.42 | | GROUND_INST: instantiating (66) with n7, all_4_98, n3, n4, simplifying with
% 260.76/66.42 | | (80), (113) gives:
% 260.76/66.42 | | (115) all_4_98 = n7
% 260.76/66.42 | |
% 260.76/66.42 | | GROUND_INST: instantiating (66) with n7, all_4_99, n9, n9, simplifying with
% 260.76/66.42 | | (69), (114) gives:
% 260.76/66.42 | | (116) all_4_99 = n7
% 260.76/66.42 | |
% 260.76/66.42 | | REF_CLOSE: (1), (5), (7), (8), (10), (11), (12), (13), (14), (16), (18),
% 260.76/66.42 | | (19), (23), (24), (25), (28), (32), (35), (37), (38), (41), (42),
% 260.76/66.42 | | (43), (46), (47), (48), (50), (51), (52), (53), (54), (55), (56),
% 260.76/66.42 | | (57), (58), (60), (62), (63), (64), (66), (68), (71), (74), (75),
% 260.76/66.42 | | (78), (79), (82), (83), (86), (87), (89), (91), (92), (93), (94),
% 260.76/66.42 | | (95), (96), (97), (98), (100), (115), (116) are inconsistent by
% 260.76/66.42 | | sub-proof #79.
% 260.76/66.42 | |
% 260.76/66.42 | Case 2:
% 260.76/66.42 | |
% 260.76/66.42 | | (117) all_4_101 = n1 | all_4_101 = n0
% 260.76/66.42 | |
% 260.76/66.42 | | BETA: splitting (117) gives:
% 260.76/66.42 | |
% 260.76/66.42 | | Case 1:
% 260.76/66.42 | | |
% 260.76/66.42 | | | (118) all_4_101 = n1
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (17), (118) imply:
% 260.76/66.42 | | | (119) pred(n1) = all_4_79
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (85), (118) imply:
% 260.76/66.42 | | | (120) succ(n1) = all_4_75
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (41) with n2, all_4_75, n1, simplifying with
% 260.76/66.42 | | | (2), (120) gives:
% 260.76/66.42 | | | (121) all_4_75 = n2
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (93) with n0, all_4_79, n1, simplifying with
% 260.76/66.42 | | | (84), (119) gives:
% 260.76/66.42 | | | (122) all_4_79 = n0
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (77), (121), (122) imply:
% 260.76/66.42 | | | (123) sum(n0, n2) = all_4_73
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (73), (122) imply:
% 260.76/66.42 | | | (124) sum(n0, n8) = all_4_77
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (39), (121) imply:
% 260.76/66.42 | | | (125) sum(n6, n2) = all_4_74
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n2, all_4_73, n2, n0, simplifying
% 260.76/66.42 | | | with (29), (123) gives:
% 260.76/66.42 | | | (126) all_4_73 = n2
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n8, all_4_77, n8, n0, simplifying
% 260.76/66.42 | | | with (36), (124) gives:
% 260.76/66.42 | | | (127) all_4_77 = n8
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n8, all_4_74, n2, n6, simplifying
% 260.76/66.42 | | | with (3), (125) gives:
% 260.76/66.42 | | | (128) all_4_74 = n8
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (67), (126) imply:
% 260.76/66.42 | | | (129) sum(n2, n3) = all_4_98
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (88), (127), (128) imply:
% 260.76/66.42 | | | (130) sum(n8, n8) = all_4_99
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n5, all_4_98, n3, n2, simplifying
% 260.76/66.42 | | | with (59), (129) gives:
% 260.76/66.42 | | | (131) all_4_98 = n5
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n5, all_4_99, n8, n8, simplifying
% 260.76/66.42 | | | with (21), (130) gives:
% 260.76/66.42 | | | (132) all_4_99 = n5
% 260.76/66.42 | | |
% 260.76/66.42 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 260.76/66.42 | | | (15), (16), (18), (19), (24), (27), (28), (29), (31), (32),
% 260.76/66.42 | | | (34), (35), (38), (41), (42), (43), (44), (45), (47), (48),
% 260.76/66.42 | | | (49), (50), (53), (54), (55), (56), (58), (62), (66), (68),
% 260.76/66.42 | | | (70), (71), (72), (74), (79), (82), (84), (86), (87), (89),
% 260.76/66.42 | | | (90), (91), (93), (95), (96), (97), (98), (100), (131), (132)
% 260.76/66.42 | | | are inconsistent by sub-proof #58.
% 260.76/66.42 | | |
% 260.76/66.42 | | Case 2:
% 260.76/66.42 | | |
% 260.76/66.42 | | | (133) all_4_101 = n0
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (17), (133) imply:
% 260.76/66.42 | | | (134) pred(n0) = all_4_79
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (85), (133) imply:
% 260.76/66.42 | | | (135) succ(n0) = all_4_75
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (41) with n1, all_4_75, n0, simplifying with
% 260.76/66.42 | | | (26), (135) gives:
% 260.76/66.42 | | | (136) all_4_75 = n1
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (93) with n10, all_4_79, n0, simplifying with
% 260.76/66.42 | | | (99), (134) gives:
% 260.76/66.42 | | | (137) all_4_79 = n10
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (77), (136), (137) imply:
% 260.76/66.42 | | | (138) sum(n10, n1) = all_4_73
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (73), (137) imply:
% 260.76/66.42 | | | (139) sum(n10, n8) = all_4_77
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (39), (136) imply:
% 260.76/66.42 | | | (140) sum(n6, n1) = all_4_74
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n7, all_4_74, n1, n6, simplifying
% 260.76/66.42 | | | with (33), (140) gives:
% 260.76/66.42 | | | (141) all_4_74 = n7
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n0, all_4_73, n1, n10, simplifying
% 260.76/66.42 | | | with (20), (138) gives:
% 260.76/66.42 | | | (142) all_4_73 = n0
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n7, all_4_77, n8, n10, simplifying
% 260.76/66.42 | | | with (61), (139) gives:
% 260.76/66.42 | | | (143) all_4_77 = n7
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (67), (142) imply:
% 260.76/66.42 | | | (144) sum(n0, n3) = all_4_98
% 260.76/66.42 | | |
% 260.76/66.42 | | | REDUCE: (88), (141), (143) imply:
% 260.76/66.42 | | | (145) sum(n7, n7) = all_4_99
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n3, all_4_98, n3, n0, simplifying
% 260.76/66.42 | | | with (81), (144) gives:
% 260.76/66.42 | | | (146) all_4_98 = n3
% 260.76/66.42 | | |
% 260.76/66.42 | | | GROUND_INST: instantiating (66) with n3, all_4_99, n7, n7, simplifying
% 260.76/66.42 | | | with (90), (145) gives:
% 260.76/66.42 | | | (147) all_4_99 = n3
% 260.76/66.42 | | |
% 260.76/66.43 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 260.76/66.43 | | | (15), (16), (18), (19), (21), (24), (28), (29), (30), (31),
% 260.76/66.43 | | | (32), (34), (35), (38), (40), (41), (42), (43), (45), (47),
% 260.76/66.43 | | | (48), (49), (50), (53), (54), (55), (56), (58), (62), (66),
% 260.76/66.43 | | | (68), (70), (71), (72), (74), (76), (79), (82), (84), (86),
% 260.76/66.43 | | | (87), (89), (91), (93), (95), (96), (97), (98), (100), (146),
% 260.76/66.43 | | | (147) are inconsistent by sub-proof #31.
% 260.76/66.43 | | |
% 260.76/66.43 | | End of split
% 260.76/66.43 | |
% 260.76/66.43 | End of split
% 260.76/66.43 |
% 260.76/66.43 End of proof
% 260.76/66.43
% 260.76/66.43 Sub-proof #31 shows that the following formulas are inconsistent:
% 260.76/66.43 ----------------------------------------------------------------
% 260.76/66.43 (1) succ(all_4_95) = all_4_51
% 260.76/66.43 (2) succ(n1) = n2
% 260.76/66.43 (3) sum(n4, n6) = n10
% 260.76/66.43 (4) succ(all_4_92) = all_4_46
% 260.76/66.43 (5) sum(n2, n2) = n4
% 260.76/66.43 (6) pred(all_4_95) = all_4_55
% 260.76/66.43 (7) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.43 (8) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.43 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.43 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.43 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.43 (12) sum(n2, n4) = n6
% 260.76/66.43 (13) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.43 (14) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.43 (15) succ(all_4_94) = all_4_54
% 260.76/66.43 (16) sum(n8, n8) = n5
% 260.76/66.43 (17) pred(all_4_99) = all_4_71
% 260.76/66.43 (18) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.43 (19) sum(n0, n2) = n2
% 260.76/66.43 (20) sum(n3, n5) = n8
% 260.76/66.43 (21) sum(n10, n10) = n9
% 260.76/66.43 (22) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.43 (23) pred(n5) = n4
% 260.76/66.43 (24) pred(all_4_92) = all_4_44
% 260.76/66.43 (25) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.43 (26) pred(n4) = n3
% 260.76/66.43 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.43 | ~ (succ(v2) = v0))
% 260.76/66.43 (28) pred(all_4_97) = all_4_63
% 260.76/66.43 (29) succ(all_4_99) = all_4_67
% 260.76/66.43 (30) succ(n3) = n4
% 260.76/66.43 (31) pred(all_4_96) = all_4_60
% 260.76/66.43 (32) succ(all_4_96) = all_4_62
% 260.76/66.43 (33) pred(n3) = n2
% 260.76/66.43 (34) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.43 (35) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.43 (36) pred(all_4_93) = all_4_47
% 260.76/66.43 (37) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.43 (38) all_4_98 = n3
% 260.76/66.43 (39) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.43 (40) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.43 (41) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.43 (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.43 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.43 (43) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.43 (44) sum(n6, n6) = n1
% 260.76/66.43 (45) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.43 (46) succ(n5) = n6
% 260.76/66.43 (47) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.43 (48) succ(n4) = n5
% 260.76/66.43 (49) succ(all_4_98) = all_4_70
% 260.76/66.43 (50) all_4_99 = n3
% 260.76/66.43 (51) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.76/66.43 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.76/66.43 (52) pred(n1) = n0
% 260.76/66.43 (53) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.43 (54) succ(all_4_97) = all_4_59
% 260.76/66.43 (55) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.43 (56) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.43 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.43 | ~ (pred(v2) = v0))
% 260.76/66.43 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.43 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.43 (60) succ(all_4_93) = all_4_43
% 260.76/66.43 (61) pred(all_4_98) = all_4_68
% 260.76/66.43 (62) pred(all_4_94) = all_4_52
% 260.76/66.43
% 260.76/66.43 Begin of proof
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (38), (61) imply:
% 260.76/66.43 | (63) pred(n3) = all_4_68
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (17), (50) imply:
% 260.76/66.43 | (64) pred(n3) = all_4_71
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (38), (49) imply:
% 260.76/66.43 | (65) succ(n3) = all_4_70
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (29), (50) imply:
% 260.76/66.43 | (66) succ(n3) = all_4_67
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with n4, all_4_67, n3, simplifying with (30),
% 260.76/66.43 | (66) gives:
% 260.76/66.43 | (67) all_4_67 = n4
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with all_4_70, all_4_67, n3, simplifying with
% 260.76/66.43 | (65), (66) gives:
% 260.76/66.43 | (68) all_4_67 = all_4_70
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with n2, all_4_68, n3, simplifying with (33),
% 260.76/66.43 | (63) gives:
% 260.76/66.43 | (69) all_4_68 = n2
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n3, simplifying with
% 260.76/66.43 | (63), (64) gives:
% 260.76/66.43 | (70) all_4_68 = all_4_71
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (67), (68) imply:
% 260.76/66.43 | (71) all_4_70 = n4
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (69), (70) imply:
% 260.76/66.43 | (72) all_4_71 = n2
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (41), (67), (69) imply:
% 260.76/66.43 | (73) sum(n2, n4) = all_4_66
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (53), (69), (71) imply:
% 260.76/66.43 | (74) sum(n2, n4) = all_4_64
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (37), (67), (72) imply:
% 260.76/66.43 | (75) sum(n2, n4) = all_4_65
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (10), (71), (72) imply:
% 260.76/66.43 | (76) sum(n2, n4) = all_4_69
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n6, all_4_65, n4, n2, simplifying with
% 260.76/66.43 | (12), (75) gives:
% 260.76/66.43 | (77) all_4_65 = n6
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_66, all_4_65, n4, n2, simplifying
% 260.76/66.43 | with (73), (75) gives:
% 260.76/66.43 | (78) all_4_65 = all_4_66
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_66, all_4_64, n4, n2, simplifying
% 260.76/66.43 | with (73), (74) gives:
% 260.76/66.43 | (79) all_4_64 = all_4_66
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_69, all_4_64, n4, n2, simplifying
% 260.76/66.43 | with (74), (76) gives:
% 260.76/66.43 | (80) all_4_64 = all_4_69
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (79), (80) imply:
% 260.76/66.43 | (81) all_4_66 = all_4_69
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (81) implies:
% 260.76/66.43 | (82) all_4_66 = all_4_69
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (77), (78) imply:
% 260.76/66.43 | (83) all_4_66 = n6
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (83) implies:
% 260.76/66.43 | (84) all_4_66 = n6
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (82), (84) imply:
% 260.76/66.43 | (85) all_4_69 = n6
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (80), (85) imply:
% 260.76/66.43 | (86) all_4_64 = n6
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (25), (77), (86) imply:
% 260.76/66.43 | (87) sum(n6, n6) = all_4_96
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (47), (84), (85) imply:
% 260.76/66.43 | (88) sum(n6, n6) = all_4_97
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n1, all_4_96, n6, n6, simplifying with
% 260.76/66.43 | (44), (87) gives:
% 260.76/66.43 | (89) all_4_96 = n1
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_97, all_4_96, n6, n6, simplifying
% 260.76/66.43 | with (87), (88) gives:
% 260.76/66.43 | (90) all_4_96 = all_4_97
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (89), (90) imply:
% 260.76/66.43 | (91) all_4_97 = n1
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (91) implies:
% 260.76/66.43 | (92) all_4_97 = n1
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (31), (89) imply:
% 260.76/66.43 | (93) pred(n1) = all_4_60
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (28), (92) imply:
% 260.76/66.43 | (94) pred(n1) = all_4_63
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (32), (89) imply:
% 260.76/66.43 | (95) succ(n1) = all_4_62
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (54), (92) imply:
% 260.76/66.43 | (96) succ(n1) = all_4_59
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with n2, all_4_59, n1, simplifying with (2),
% 260.76/66.43 | (96) gives:
% 260.76/66.43 | (97) all_4_59 = n2
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with all_4_62, all_4_59, n1, simplifying with
% 260.76/66.43 | (95), (96) gives:
% 260.76/66.43 | (98) all_4_59 = all_4_62
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with n0, all_4_60, n1, simplifying with (52),
% 260.76/66.43 | (93) gives:
% 260.76/66.43 | (99) all_4_60 = n0
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n1, simplifying with
% 260.76/66.43 | (93), (94) gives:
% 260.76/66.43 | (100) all_4_60 = all_4_63
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (97), (98) imply:
% 260.76/66.43 | (101) all_4_62 = n2
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (99), (100) imply:
% 260.76/66.43 | (102) all_4_63 = n0
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (39), (97), (99) imply:
% 260.76/66.43 | (103) sum(n0, n2) = all_4_58
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (9), (99), (101) imply:
% 260.76/66.43 | (104) sum(n0, n2) = all_4_56
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (13), (97), (102) imply:
% 260.76/66.43 | (105) sum(n0, n2) = all_4_57
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (14), (101), (102) imply:
% 260.76/66.43 | (106) sum(n0, n2) = all_4_61
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n2, all_4_57, n2, n0, simplifying with
% 260.76/66.43 | (19), (105) gives:
% 260.76/66.43 | (107) all_4_57 = n2
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_58, all_4_57, n2, n0, simplifying
% 260.76/66.43 | with (103), (105) gives:
% 260.76/66.43 | (108) all_4_57 = all_4_58
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_57, all_4_56, n2, n0, simplifying
% 260.76/66.43 | with (104), (105) gives:
% 260.76/66.43 | (109) all_4_56 = all_4_57
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_61, all_4_56, n2, n0, simplifying
% 260.76/66.43 | with (104), (106) gives:
% 260.76/66.43 | (110) all_4_56 = all_4_61
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (109), (110) imply:
% 260.76/66.43 | (111) all_4_57 = all_4_61
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (111) implies:
% 260.76/66.43 | (112) all_4_57 = all_4_61
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (107), (108) imply:
% 260.76/66.43 | (113) all_4_58 = n2
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (108), (112) imply:
% 260.76/66.43 | (114) all_4_58 = all_4_61
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (113), (114) imply:
% 260.76/66.43 | (115) all_4_61 = n2
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (110), (115) imply:
% 260.76/66.43 | (116) all_4_56 = n2
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (18), (107), (116) imply:
% 260.76/66.43 | (117) sum(n2, n2) = all_4_94
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (55), (113), (115) imply:
% 260.76/66.43 | (118) sum(n2, n2) = all_4_95
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n4, all_4_94, n2, n2, simplifying with
% 260.76/66.43 | (5), (117) gives:
% 260.76/66.43 | (119) all_4_94 = n4
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_95, all_4_94, n2, n2, simplifying
% 260.76/66.43 | with (117), (118) gives:
% 260.76/66.43 | (120) all_4_94 = all_4_95
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (119), (120) imply:
% 260.76/66.43 | (121) all_4_95 = n4
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (62), (119) imply:
% 260.76/66.43 | (122) pred(n4) = all_4_52
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (6), (121) imply:
% 260.76/66.43 | (123) pred(n4) = all_4_55
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (15), (119) imply:
% 260.76/66.43 | (124) succ(n4) = all_4_54
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (1), (121) imply:
% 260.76/66.43 | (125) succ(n4) = all_4_51
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with n5, all_4_51, n4, simplifying with (48),
% 260.76/66.43 | (125) gives:
% 260.76/66.43 | (126) all_4_51 = n5
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with all_4_54, all_4_51, n4, simplifying with
% 260.76/66.43 | (124), (125) gives:
% 260.76/66.43 | (127) all_4_51 = all_4_54
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with n3, all_4_52, n4, simplifying with (26),
% 260.76/66.43 | (122) gives:
% 260.76/66.43 | (128) all_4_52 = n3
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n4, simplifying with
% 260.76/66.43 | (122), (123) gives:
% 260.76/66.43 | (129) all_4_52 = all_4_55
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (126), (127) imply:
% 260.76/66.43 | (130) all_4_54 = n5
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (128), (129) imply:
% 260.76/66.43 | (131) all_4_55 = n3
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (131) implies:
% 260.76/66.43 | (132) all_4_55 = n3
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (58), (126), (128) imply:
% 260.76/66.43 | (133) sum(n3, n5) = all_4_50
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (8), (128), (130) imply:
% 260.76/66.43 | (134) sum(n3, n5) = all_4_48
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (34), (126), (132) imply:
% 260.76/66.43 | (135) sum(n3, n5) = all_4_49
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (11), (130), (132) imply:
% 260.76/66.43 | (136) sum(n3, n5) = all_4_53
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n8, all_4_49, n5, n3, simplifying with
% 260.76/66.43 | (20), (135) gives:
% 260.76/66.43 | (137) all_4_49 = n8
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_50, all_4_49, n5, n3, simplifying
% 260.76/66.43 | with (133), (135) gives:
% 260.76/66.43 | (138) all_4_49 = all_4_50
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_49, all_4_48, n5, n3, simplifying
% 260.76/66.43 | with (134), (135) gives:
% 260.76/66.43 | (139) all_4_48 = all_4_49
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_53, all_4_48, n5, n3, simplifying
% 260.76/66.43 | with (134), (136) gives:
% 260.76/66.43 | (140) all_4_48 = all_4_53
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (139), (140) imply:
% 260.76/66.43 | (141) all_4_49 = all_4_53
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (141) implies:
% 260.76/66.43 | (142) all_4_49 = all_4_53
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (137), (138) imply:
% 260.76/66.43 | (143) all_4_50 = n8
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (138), (142) imply:
% 260.76/66.43 | (144) all_4_50 = all_4_53
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (143), (144) imply:
% 260.76/66.43 | (145) all_4_53 = n8
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (140), (145) imply:
% 260.76/66.43 | (146) all_4_48 = n8
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (56), (137), (146) imply:
% 260.76/66.43 | (147) sum(n8, n8) = all_4_92
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (59), (143), (145) imply:
% 260.76/66.43 | (148) sum(n8, n8) = all_4_93
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n5, all_4_92, n8, n8, simplifying with
% 260.76/66.43 | (16), (147) gives:
% 260.76/66.43 | (149) all_4_92 = n5
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_93, all_4_92, n8, n8, simplifying
% 260.76/66.43 | with (147), (148) gives:
% 260.76/66.43 | (150) all_4_92 = all_4_93
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (149), (150) imply:
% 260.76/66.43 | (151) all_4_93 = n5
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (151) implies:
% 260.76/66.43 | (152) all_4_93 = n5
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (24), (149) imply:
% 260.76/66.43 | (153) pred(n5) = all_4_44
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (36), (152) imply:
% 260.76/66.43 | (154) pred(n5) = all_4_47
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (4), (149) imply:
% 260.76/66.43 | (155) succ(n5) = all_4_46
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (60), (152) imply:
% 260.76/66.43 | (156) succ(n5) = all_4_43
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with n6, all_4_43, n5, simplifying with (46),
% 260.76/66.43 | (156) gives:
% 260.76/66.43 | (157) all_4_43 = n6
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (27) with all_4_46, all_4_43, n5, simplifying with
% 260.76/66.43 | (155), (156) gives:
% 260.76/66.43 | (158) all_4_43 = all_4_46
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with n4, all_4_44, n5, simplifying with (23),
% 260.76/66.43 | (153) gives:
% 260.76/66.43 | (159) all_4_44 = n4
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (57) with all_4_47, all_4_44, n5, simplifying with
% 260.76/66.43 | (153), (154) gives:
% 260.76/66.43 | (160) all_4_44 = all_4_47
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (157), (158) imply:
% 260.76/66.43 | (161) all_4_46 = n6
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (159), (160) imply:
% 260.76/66.43 | (162) all_4_47 = n4
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (45), (157), (159) imply:
% 260.76/66.43 | (163) sum(n4, n6) = all_4_42
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (7), (159), (161) imply:
% 260.76/66.43 | (164) sum(n4, n6) = all_4_40
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (22), (157), (162) imply:
% 260.76/66.43 | (165) sum(n4, n6) = all_4_41
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (35), (161), (162) imply:
% 260.76/66.43 | (166) sum(n4, n6) = all_4_45
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n10, all_4_41, n6, n4, simplifying with
% 260.76/66.43 | (3), (165) gives:
% 260.76/66.43 | (167) all_4_41 = n10
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_42, all_4_41, n6, n4, simplifying
% 260.76/66.43 | with (163), (165) gives:
% 260.76/66.43 | (168) all_4_41 = all_4_42
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_41, all_4_40, n6, n4, simplifying
% 260.76/66.43 | with (164), (165) gives:
% 260.76/66.43 | (169) all_4_40 = all_4_41
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with all_4_45, all_4_40, n6, n4, simplifying
% 260.76/66.43 | with (164), (166) gives:
% 260.76/66.43 | (170) all_4_40 = all_4_45
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (169), (170) imply:
% 260.76/66.43 | (171) all_4_41 = all_4_45
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (171) implies:
% 260.76/66.43 | (172) all_4_41 = all_4_45
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (167), (168) imply:
% 260.76/66.43 | (173) all_4_42 = n10
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (168), (172) imply:
% 260.76/66.43 | (174) all_4_42 = all_4_45
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (173), (174) imply:
% 260.76/66.43 | (175) all_4_45 = n10
% 260.76/66.43 |
% 260.76/66.43 | SIMP: (175) implies:
% 260.76/66.43 | (176) all_4_45 = n10
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (170), (176) imply:
% 260.76/66.43 | (177) all_4_40 = n10
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (40), (167), (177) imply:
% 260.76/66.43 | (178) sum(n10, n10) = all_4_90
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (43), (173), (176) imply:
% 260.76/66.43 | (179) sum(n10, n10) = all_4_91
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n9, all_4_91, n10, n10, simplifying with
% 260.76/66.43 | (21), (179) gives:
% 260.76/66.43 | (180) all_4_91 = n9
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (42) with n9, all_4_90, n10, n10, simplifying with
% 260.76/66.43 | (21), (178) gives:
% 260.76/66.43 | (181) all_4_90 = n9
% 260.76/66.43 |
% 260.76/66.43 | REF_CLOSE: (38), (50), (51), (89), (92), (119), (121), (149), (152), (180),
% 260.76/66.43 | (181) are inconsistent by sub-proof #158.
% 260.76/66.43 |
% 260.76/66.43 End of proof
% 260.76/66.43
% 260.76/66.43 Sub-proof #32 shows that the following formulas are inconsistent:
% 260.76/66.43 ----------------------------------------------------------------
% 260.76/66.43 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.76/66.43 (2) succ(all_4_95) = all_4_51
% 260.76/66.43 (3) sum(all_4_25, all_4_24) = all_4_86
% 260.76/66.43 (4) succ(all_4_91) = all_4_35
% 260.76/66.43 (5) succ(all_4_92) = all_4_46
% 260.76/66.43 (6) succ(all_4_89) = all_4_27
% 260.76/66.43 (7) pred(all_4_95) = all_4_55
% 260.76/66.43 (8) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.43 (9) sum(all_4_28, all_4_30) = all_4_24
% 260.76/66.43 (10) sum(n9, n0) = n9
% 260.76/66.43 (11) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.43 (12) sum(n3, n3) = n6
% 260.76/66.43 (13) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.43 (14) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.43 (15) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.43 (16) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.43 (17) sum(all_4_31, all_4_27) = all_4_25
% 260.76/66.43 (18) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.43 (19) succ(all_4_94) = all_4_54
% 260.76/66.43 (20) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.43 (21) pred(n8) = n7
% 260.76/66.43 (22) pred(all_4_99) = all_4_71
% 260.76/66.43 (23) succ(all_4_90) = all_4_38
% 260.76/66.43 (24) sum(n6, n8) = n3
% 260.76/66.43 (25) pred(all_4_88) = all_4_28
% 260.76/66.43 (26) sum(all_4_31, all_4_30) = all_4_29
% 260.76/66.43 (27) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.43 (28) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.43 (29) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.43 (30) all_4_99 = n10
% 260.76/66.43 (31) sum(all_4_29, all_4_26) = all_4_87
% 260.76/66.43 (32) pred(all_4_91) = all_4_39
% 260.76/66.43 (33) pred(all_4_89) = all_4_31
% 260.76/66.43 (34) pred(all_4_92) = all_4_44
% 260.76/66.43 (35) sum(n5, n7) = n1
% 260.76/66.43 (36) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.43 (37) succ(n10) = n0
% 260.76/66.43 (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.43 | ~ (succ(v2) = v0))
% 260.76/66.43 (39) pred(all_4_97) = all_4_63
% 260.76/66.43 (40) succ(all_4_99) = all_4_67
% 260.76/66.43 (41) pred(n6) = n5
% 260.76/66.43 (42) pred(all_4_96) = all_4_60
% 260.76/66.43 (43) succ(all_4_96) = all_4_62
% 260.76/66.43 (44) succ(all_4_88) = all_4_30
% 260.76/66.43 (45) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.43 (46) pred(n7) = n6
% 260.76/66.43 (47) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.43 (48) succ(n7) = n8
% 260.76/66.43 (49) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.43 (50) pred(all_4_93) = all_4_47
% 260.76/66.43 (51) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.43 (52) sum(n5, n5) = all_4_99
% 260.76/66.43 (53) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.43 (54) all_4_98 = n10
% 260.76/66.43 (55) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.43 (56) succ(n2) = n3
% 260.76/66.43 (57) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.43 (58) succ(n6) = n7
% 260.76/66.43 (59) succ(n8) = n9
% 260.76/66.43 (60) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.43 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.43 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.43 (62) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.43 (63) sum(n9, n9) = n7
% 260.76/66.43 (64) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.43 (65) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.43 (66) pred(n10) = n9
% 260.76/66.43 (67) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.43 (68) sum(n7, n9) = n5
% 260.76/66.43 (69) pred(n2) = n1
% 260.76/66.43 (70) succ(all_4_98) = all_4_70
% 260.76/66.43 (71) pred(all_4_90) = all_4_36
% 260.76/66.43 (72) sum(n4, n4) = n8
% 260.76/66.43 (73) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.43 (74) succ(all_4_97) = all_4_59
% 260.76/66.43 (75) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.43 (76) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.43 (77) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.43 (78) ~ (all_4_86 = all_4_87)
% 260.76/66.43 (79) sum(n1, n3) = n4
% 260.76/66.43 (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.43 | ~ (pred(v2) = v0))
% 260.76/66.43 (81) sum(n1, n1) = n2
% 260.76/66.43 (82) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.43 (83) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.43 (84) succ(all_4_93) = all_4_43
% 260.76/66.43 (85) pred(all_4_98) = all_4_68
% 260.76/66.43 (86) pred(all_4_94) = all_4_52
% 260.76/66.43
% 260.76/66.43 Begin of proof
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (54), (85) imply:
% 260.76/66.43 | (87) pred(n10) = all_4_68
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (22), (30) imply:
% 260.76/66.43 | (88) pred(n10) = all_4_71
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (54), (70) imply:
% 260.76/66.43 | (89) succ(n10) = all_4_70
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (30), (40) imply:
% 260.76/66.43 | (90) succ(n10) = all_4_67
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (30), (52) imply:
% 260.76/66.43 | (91) sum(n5, n5) = n10
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (38) with n0, all_4_67, n10, simplifying with (37),
% 260.76/66.43 | (90) gives:
% 260.76/66.43 | (92) all_4_67 = n0
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (38) with all_4_70, all_4_67, n10, simplifying with
% 260.76/66.43 | (89), (90) gives:
% 260.76/66.43 | (93) all_4_67 = all_4_70
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (80) with n9, all_4_68, n10, simplifying with (66),
% 260.76/66.43 | (87) gives:
% 260.76/66.43 | (94) all_4_68 = n9
% 260.76/66.43 |
% 260.76/66.43 | GROUND_INST: instantiating (80) with all_4_71, all_4_68, n10, simplifying with
% 260.76/66.43 | (87), (88) gives:
% 260.76/66.43 | (95) all_4_68 = all_4_71
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (92), (93) imply:
% 260.76/66.43 | (96) all_4_70 = n0
% 260.76/66.43 |
% 260.76/66.43 | COMBINE_EQS: (94), (95) imply:
% 260.76/66.43 | (97) all_4_71 = n9
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (57), (92), (94) imply:
% 260.76/66.43 | (98) sum(n9, n0) = all_4_66
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (73), (94), (96) imply:
% 260.76/66.43 | (99) sum(n9, n0) = all_4_64
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (51), (92), (97) imply:
% 260.76/66.43 | (100) sum(n9, n0) = all_4_65
% 260.76/66.43 |
% 260.76/66.43 | REDUCE: (14), (96), (97) imply:
% 260.76/66.43 | (101) sum(n9, n0) = all_4_69
% 260.76/66.43 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n9, all_4_65, n0, n9, simplifying with
% 260.76/66.44 | (10), (100) gives:
% 260.76/66.44 | (102) all_4_65 = n9
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_66, all_4_65, n0, n9, simplifying
% 260.76/66.44 | with (98), (100) gives:
% 260.76/66.44 | (103) all_4_65 = all_4_66
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_66, all_4_64, n0, n9, simplifying
% 260.76/66.44 | with (98), (99) gives:
% 260.76/66.44 | (104) all_4_64 = all_4_66
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_69, all_4_64, n0, n9, simplifying
% 260.76/66.44 | with (99), (101) gives:
% 260.76/66.44 | (105) all_4_64 = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (104), (105) imply:
% 260.76/66.44 | (106) all_4_66 = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (106) implies:
% 260.76/66.44 | (107) all_4_66 = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (102), (103) imply:
% 260.76/66.44 | (108) all_4_66 = n9
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (108) implies:
% 260.76/66.44 | (109) all_4_66 = n9
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (107), (109) imply:
% 260.76/66.44 | (110) all_4_69 = n9
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (105), (110) imply:
% 260.76/66.44 | (111) all_4_64 = n9
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (36), (102), (111) imply:
% 260.76/66.44 | (112) sum(n9, n9) = all_4_96
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (67), (109), (110) imply:
% 260.76/66.44 | (113) sum(n9, n9) = all_4_97
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n7, all_4_96, n9, n9, simplifying with
% 260.76/66.44 | (63), (112) gives:
% 260.76/66.44 | (114) all_4_96 = n7
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_97, all_4_96, n9, n9, simplifying
% 260.76/66.44 | with (112), (113) gives:
% 260.76/66.44 | (115) all_4_96 = all_4_97
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (114), (115) imply:
% 260.76/66.44 | (116) all_4_97 = n7
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (116) implies:
% 260.76/66.44 | (117) all_4_97 = n7
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (42), (114) imply:
% 260.76/66.44 | (118) pred(n7) = all_4_60
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (39), (117) imply:
% 260.76/66.44 | (119) pred(n7) = all_4_63
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (43), (114) imply:
% 260.76/66.44 | (120) succ(n7) = all_4_62
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (74), (117) imply:
% 260.76/66.44 | (121) succ(n7) = all_4_59
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with n8, all_4_59, n7, simplifying with (48),
% 260.76/66.44 | (121) gives:
% 260.76/66.44 | (122) all_4_59 = n8
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with all_4_62, all_4_59, n7, simplifying with
% 260.76/66.44 | (120), (121) gives:
% 260.76/66.44 | (123) all_4_59 = all_4_62
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with n6, all_4_60, n7, simplifying with (46),
% 260.76/66.44 | (118) gives:
% 260.76/66.44 | (124) all_4_60 = n6
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with all_4_63, all_4_60, n7, simplifying with
% 260.76/66.44 | (118), (119) gives:
% 260.76/66.44 | (125) all_4_60 = all_4_63
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (122), (123) imply:
% 260.76/66.44 | (126) all_4_62 = n8
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (124), (125) imply:
% 260.76/66.44 | (127) all_4_63 = n6
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (53), (122), (124) imply:
% 260.76/66.44 | (128) sum(n6, n8) = all_4_58
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (13), (124), (126) imply:
% 260.76/66.44 | (129) sum(n6, n8) = all_4_56
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (16), (122), (127) imply:
% 260.76/66.44 | (130) sum(n6, n8) = all_4_57
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (18), (126), (127) imply:
% 260.76/66.44 | (131) sum(n6, n8) = all_4_61
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n3, all_4_57, n8, n6, simplifying with
% 260.76/66.44 | (24), (130) gives:
% 260.76/66.44 | (132) all_4_57 = n3
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_58, all_4_57, n8, n6, simplifying
% 260.76/66.44 | with (128), (130) gives:
% 260.76/66.44 | (133) all_4_57 = all_4_58
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_57, all_4_56, n8, n6, simplifying
% 260.76/66.44 | with (129), (130) gives:
% 260.76/66.44 | (134) all_4_56 = all_4_57
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_61, all_4_56, n8, n6, simplifying
% 260.76/66.44 | with (129), (131) gives:
% 260.76/66.44 | (135) all_4_56 = all_4_61
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (134), (135) imply:
% 260.76/66.44 | (136) all_4_57 = all_4_61
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (136) implies:
% 260.76/66.44 | (137) all_4_57 = all_4_61
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (132), (133) imply:
% 260.76/66.44 | (138) all_4_58 = n3
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (133), (137) imply:
% 260.76/66.44 | (139) all_4_58 = all_4_61
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (138), (139) imply:
% 260.76/66.44 | (140) all_4_61 = n3
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (135), (140) imply:
% 260.76/66.44 | (141) all_4_56 = n3
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (27), (132), (141) imply:
% 260.76/66.44 | (142) sum(n3, n3) = all_4_94
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (76), (138), (140) imply:
% 260.76/66.44 | (143) sum(n3, n3) = all_4_95
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n6, all_4_94, n3, n3, simplifying with
% 260.76/66.44 | (12), (142) gives:
% 260.76/66.44 | (144) all_4_94 = n6
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_95, all_4_94, n3, n3, simplifying
% 260.76/66.44 | with (142), (143) gives:
% 260.76/66.44 | (145) all_4_94 = all_4_95
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (144), (145) imply:
% 260.76/66.44 | (146) all_4_95 = n6
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (86), (144) imply:
% 260.76/66.44 | (147) pred(n6) = all_4_52
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (7), (146) imply:
% 260.76/66.44 | (148) pred(n6) = all_4_55
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (19), (144) imply:
% 260.76/66.44 | (149) succ(n6) = all_4_54
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (2), (146) imply:
% 260.76/66.44 | (150) succ(n6) = all_4_51
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with n7, all_4_51, n6, simplifying with (58),
% 260.76/66.44 | (150) gives:
% 260.76/66.44 | (151) all_4_51 = n7
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with all_4_54, all_4_51, n6, simplifying with
% 260.76/66.44 | (149), (150) gives:
% 260.76/66.44 | (152) all_4_51 = all_4_54
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with n5, all_4_52, n6, simplifying with (41),
% 260.76/66.44 | (147) gives:
% 260.76/66.44 | (153) all_4_52 = n5
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with all_4_55, all_4_52, n6, simplifying with
% 260.76/66.44 | (147), (148) gives:
% 260.76/66.44 | (154) all_4_52 = all_4_55
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (151), (152) imply:
% 260.76/66.44 | (155) all_4_54 = n7
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (153), (154) imply:
% 260.76/66.44 | (156) all_4_55 = n5
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (156) implies:
% 260.76/66.44 | (157) all_4_55 = n5
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (82), (151), (153) imply:
% 260.76/66.44 | (158) sum(n5, n7) = all_4_50
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (11), (153), (155) imply:
% 260.76/66.44 | (159) sum(n5, n7) = all_4_48
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (45), (151), (157) imply:
% 260.76/66.44 | (160) sum(n5, n7) = all_4_49
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (15), (155), (157) imply:
% 260.76/66.44 | (161) sum(n5, n7) = all_4_53
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n1, all_4_49, n7, n5, simplifying with
% 260.76/66.44 | (35), (160) gives:
% 260.76/66.44 | (162) all_4_49 = n1
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_50, all_4_49, n7, n5, simplifying
% 260.76/66.44 | with (158), (160) gives:
% 260.76/66.44 | (163) all_4_49 = all_4_50
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_49, all_4_48, n7, n5, simplifying
% 260.76/66.44 | with (159), (160) gives:
% 260.76/66.44 | (164) all_4_48 = all_4_49
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_53, all_4_48, n7, n5, simplifying
% 260.76/66.44 | with (159), (161) gives:
% 260.76/66.44 | (165) all_4_48 = all_4_53
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (164), (165) imply:
% 260.76/66.44 | (166) all_4_49 = all_4_53
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (166) implies:
% 260.76/66.44 | (167) all_4_49 = all_4_53
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (162), (163) imply:
% 260.76/66.44 | (168) all_4_50 = n1
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (163), (167) imply:
% 260.76/66.44 | (169) all_4_50 = all_4_53
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (168), (169) imply:
% 260.76/66.44 | (170) all_4_53 = n1
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (165), (170) imply:
% 260.76/66.44 | (171) all_4_48 = n1
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (77), (162), (171) imply:
% 260.76/66.44 | (172) sum(n1, n1) = all_4_92
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (83), (168), (170) imply:
% 260.76/66.44 | (173) sum(n1, n1) = all_4_93
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n2, all_4_92, n1, n1, simplifying with
% 260.76/66.44 | (81), (172) gives:
% 260.76/66.44 | (174) all_4_92 = n2
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_93, all_4_92, n1, n1, simplifying
% 260.76/66.44 | with (172), (173) gives:
% 260.76/66.44 | (175) all_4_92 = all_4_93
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (174), (175) imply:
% 260.76/66.44 | (176) all_4_93 = n2
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (176) implies:
% 260.76/66.44 | (177) all_4_93 = n2
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (34), (174) imply:
% 260.76/66.44 | (178) pred(n2) = all_4_44
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (50), (177) imply:
% 260.76/66.44 | (179) pred(n2) = all_4_47
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (5), (174) imply:
% 260.76/66.44 | (180) succ(n2) = all_4_46
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (84), (177) imply:
% 260.76/66.44 | (181) succ(n2) = all_4_43
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with n3, all_4_43, n2, simplifying with (56),
% 260.76/66.44 | (181) gives:
% 260.76/66.44 | (182) all_4_43 = n3
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with all_4_46, all_4_43, n2, simplifying with
% 260.76/66.44 | (180), (181) gives:
% 260.76/66.44 | (183) all_4_43 = all_4_46
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with n1, all_4_44, n2, simplifying with (69),
% 260.76/66.44 | (178) gives:
% 260.76/66.44 | (184) all_4_44 = n1
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with all_4_47, all_4_44, n2, simplifying with
% 260.76/66.44 | (178), (179) gives:
% 260.76/66.44 | (185) all_4_44 = all_4_47
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (182), (183) imply:
% 260.76/66.44 | (186) all_4_46 = n3
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (184), (185) imply:
% 260.76/66.44 | (187) all_4_47 = n1
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (65), (182), (184) imply:
% 260.76/66.44 | (188) sum(n1, n3) = all_4_42
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (8), (184), (186) imply:
% 260.76/66.44 | (189) sum(n1, n3) = all_4_40
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (29), (182), (187) imply:
% 260.76/66.44 | (190) sum(n1, n3) = all_4_41
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (49), (186), (187) imply:
% 260.76/66.44 | (191) sum(n1, n3) = all_4_45
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n4, all_4_41, n3, n1, simplifying with
% 260.76/66.44 | (79), (190) gives:
% 260.76/66.44 | (192) all_4_41 = n4
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_42, all_4_41, n3, n1, simplifying
% 260.76/66.44 | with (188), (190) gives:
% 260.76/66.44 | (193) all_4_41 = all_4_42
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_41, all_4_40, n3, n1, simplifying
% 260.76/66.44 | with (189), (190) gives:
% 260.76/66.44 | (194) all_4_40 = all_4_41
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_45, all_4_40, n3, n1, simplifying
% 260.76/66.44 | with (189), (191) gives:
% 260.76/66.44 | (195) all_4_40 = all_4_45
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (194), (195) imply:
% 260.76/66.44 | (196) all_4_41 = all_4_45
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (196) implies:
% 260.76/66.44 | (197) all_4_41 = all_4_45
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (192), (193) imply:
% 260.76/66.44 | (198) all_4_42 = n4
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (193), (197) imply:
% 260.76/66.44 | (199) all_4_42 = all_4_45
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (198), (199) imply:
% 260.76/66.44 | (200) all_4_45 = n4
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (200) implies:
% 260.76/66.44 | (201) all_4_45 = n4
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (195), (201) imply:
% 260.76/66.44 | (202) all_4_40 = n4
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (55), (192), (202) imply:
% 260.76/66.44 | (203) sum(n4, n4) = all_4_90
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (62), (198), (201) imply:
% 260.76/66.44 | (204) sum(n4, n4) = all_4_91
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n8, all_4_90, n4, n4, simplifying with
% 260.76/66.44 | (72), (203) gives:
% 260.76/66.44 | (205) all_4_90 = n8
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_91, all_4_90, n4, n4, simplifying
% 260.76/66.44 | with (203), (204) gives:
% 260.76/66.44 | (206) all_4_90 = all_4_91
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (205), (206) imply:
% 260.76/66.44 | (207) all_4_91 = n8
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (207) implies:
% 260.76/66.44 | (208) all_4_91 = n8
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (71), (205) imply:
% 260.76/66.44 | (209) pred(n8) = all_4_36
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (32), (208) imply:
% 260.76/66.44 | (210) pred(n8) = all_4_39
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (23), (205) imply:
% 260.76/66.44 | (211) succ(n8) = all_4_38
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (4), (208) imply:
% 260.76/66.44 | (212) succ(n8) = all_4_35
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with n9, all_4_35, n8, simplifying with (59),
% 260.76/66.44 | (212) gives:
% 260.76/66.44 | (213) all_4_35 = n9
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with all_4_38, all_4_35, n8, simplifying with
% 260.76/66.44 | (211), (212) gives:
% 260.76/66.44 | (214) all_4_35 = all_4_38
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with n7, all_4_36, n8, simplifying with (21),
% 260.76/66.44 | (209) gives:
% 260.76/66.44 | (215) all_4_36 = n7
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (80) with all_4_39, all_4_36, n8, simplifying with
% 260.76/66.44 | (209), (210) gives:
% 260.76/66.44 | (216) all_4_36 = all_4_39
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (213), (214) imply:
% 260.76/66.44 | (217) all_4_38 = n9
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (215), (216) imply:
% 260.76/66.44 | (218) all_4_39 = n7
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (47), (213), (215) imply:
% 260.76/66.44 | (219) sum(n7, n9) = all_4_34
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (75), (215), (217) imply:
% 260.76/66.44 | (220) sum(n7, n9) = all_4_32
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (60), (213), (218) imply:
% 260.76/66.44 | (221) sum(n7, n9) = all_4_33
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (64), (217), (218) imply:
% 260.76/66.44 | (222) sum(n7, n9) = all_4_37
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n5, all_4_33, n9, n7, simplifying with
% 260.76/66.44 | (68), (221) gives:
% 260.76/66.44 | (223) all_4_33 = n5
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_34, all_4_33, n9, n7, simplifying
% 260.76/66.44 | with (219), (221) gives:
% 260.76/66.44 | (224) all_4_33 = all_4_34
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_33, all_4_32, n9, n7, simplifying
% 260.76/66.44 | with (220), (221) gives:
% 260.76/66.44 | (225) all_4_32 = all_4_33
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_37, all_4_32, n9, n7, simplifying
% 260.76/66.44 | with (220), (222) gives:
% 260.76/66.44 | (226) all_4_32 = all_4_37
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (225), (226) imply:
% 260.76/66.44 | (227) all_4_33 = all_4_37
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (227) implies:
% 260.76/66.44 | (228) all_4_33 = all_4_37
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (223), (224) imply:
% 260.76/66.44 | (229) all_4_34 = n5
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (224), (228) imply:
% 260.76/66.44 | (230) all_4_34 = all_4_37
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (229), (230) imply:
% 260.76/66.44 | (231) all_4_37 = n5
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (226), (231) imply:
% 260.76/66.44 | (232) all_4_32 = n5
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (28), (223), (232) imply:
% 260.76/66.44 | (233) sum(n5, n5) = all_4_88
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (20), (229), (231) imply:
% 260.76/66.44 | (234) sum(n5, n5) = all_4_89
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with n10, all_4_88, n5, n5, simplifying with
% 260.76/66.44 | (91), (233) gives:
% 260.76/66.44 | (235) all_4_88 = n10
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (61) with all_4_89, all_4_88, n5, n5, simplifying
% 260.76/66.44 | with (233), (234) gives:
% 260.76/66.44 | (236) all_4_88 = all_4_89
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (235), (236) imply:
% 260.76/66.44 | (237) all_4_89 = n10
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (25), (235) imply:
% 260.76/66.44 | (238) pred(n10) = all_4_28
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (33), (237) imply:
% 260.76/66.44 | (239) pred(n10) = all_4_31
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (44), (235) imply:
% 260.76/66.44 | (240) succ(n10) = all_4_30
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (6), (237) imply:
% 260.76/66.44 | (241) succ(n10) = all_4_27
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (38) with n0, all_4_27, n10, simplifying with (37),
% 260.76/66.44 | (241) gives:
% 260.76/66.44 | (242) all_4_27 = n0
% 260.76/66.44 |
% 260.76/66.44 | REF_CLOSE: (1), (3), (9), (10), (17), (26), (31), (38), (61), (63), (66),
% 260.76/66.44 | (78), (80), (238), (239), (240), (241), (242) are inconsistent by
% 260.76/66.44 | sub-proof #155.
% 260.76/66.44 |
% 260.76/66.44 End of proof
% 260.76/66.44
% 260.76/66.44 Sub-proof #33 shows that the following formulas are inconsistent:
% 260.76/66.44 ----------------------------------------------------------------
% 260.76/66.44 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.76/66.44 (2) succ(all_4_95) = all_4_51
% 260.76/66.44 (3) sum(n6, n6) = all_4_99
% 260.76/66.44 (4) sum(all_4_25, all_4_24) = all_4_86
% 260.76/66.44 (5) succ(n1) = n2
% 260.76/66.44 (6) succ(all_4_91) = all_4_35
% 260.76/66.44 (7) sum(n4, n6) = n10
% 260.76/66.44 (8) succ(all_4_92) = all_4_46
% 260.76/66.44 (9) succ(all_4_89) = all_4_27
% 260.76/66.44 (10) sum(n2, n2) = n4
% 260.76/66.44 (11) pred(all_4_95) = all_4_55
% 260.76/66.44 (12) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.44 (13) sum(all_4_28, all_4_30) = all_4_24
% 260.76/66.44 (14) succ(n9) = n10
% 260.76/66.44 (15) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.44 (16) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.44 (17) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.44 (18) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.44 (19) sum(n2, n4) = n6
% 260.76/66.44 (20) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.44 (21) sum(all_4_31, all_4_27) = all_4_25
% 260.76/66.44 (22) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.44 (23) succ(all_4_94) = all_4_54
% 260.76/66.44 (24) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.44 (25) sum(n8, n8) = n5
% 260.76/66.44 (26) pred(all_4_99) = all_4_71
% 260.76/66.44 (27) succ(all_4_90) = all_4_38
% 260.76/66.44 (28) pred(all_4_88) = all_4_28
% 260.76/66.44 (29) sum(all_4_31, all_4_30) = all_4_29
% 260.76/66.44 (30) sum(n8, n10) = n7
% 260.76/66.44 (31) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.44 (32) sum(n0, n2) = n2
% 260.76/66.44 (33) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.44 (34) sum(n3, n5) = n8
% 260.76/66.44 (35) sum(n10, n10) = n9
% 260.76/66.44 (36) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.44 (37) pred(n5) = n4
% 260.76/66.44 (38) sum(all_4_29, all_4_26) = all_4_87
% 260.76/66.44 (39) pred(all_4_91) = all_4_39
% 260.76/66.44 (40) pred(all_4_89) = all_4_31
% 260.76/66.44 (41) pred(all_4_92) = all_4_44
% 260.76/66.44 (42) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.44 (43) pred(n4) = n3
% 260.76/66.44 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.44 | ~ (succ(v2) = v0))
% 260.76/66.44 (45) pred(all_4_97) = all_4_63
% 260.76/66.44 (46) succ(all_4_99) = all_4_67
% 260.76/66.44 (47) pred(n9) = n8
% 260.76/66.44 (48) succ(n3) = n4
% 260.76/66.44 (49) pred(all_4_96) = all_4_60
% 260.76/66.44 (50) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 260.76/66.44 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 260.76/66.44 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.76/66.44 (51) succ(all_4_96) = all_4_62
% 260.76/66.44 (52) pred(n3) = n2
% 260.76/66.44 (53) succ(all_4_88) = all_4_30
% 260.76/66.44 (54) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.44 (55) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.44 (56) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.44 (57) pred(all_4_93) = all_4_47
% 260.76/66.44 (58) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.44 (59) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.44 (60) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.44 (61) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.44 (62) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.44 (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.44 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.44 (64) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.44 (65) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.44 (66) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.44 (67) succ(n5) = n6
% 260.76/66.44 (68) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.44 (69) succ(n4) = n5
% 260.76/66.44 (70) succ(all_4_98) = all_4_70
% 260.76/66.44 (71) pred(all_4_90) = all_4_36
% 260.76/66.44 (72) all_4_99 = n1
% 260.76/66.44 (73) pred(n1) = n0
% 260.76/66.44 (74) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.44 (75) succ(all_4_97) = all_4_59
% 260.76/66.44 (76) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.44 (77) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.44 (78) sum(n7, n7) = n3
% 260.76/66.44 (79) all_4_98 = n1
% 260.76/66.44 (80) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.44 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.44 | ~ (pred(v2) = v0))
% 260.76/66.44 (82) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.44 (83) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.44 (84) succ(all_4_93) = all_4_43
% 260.76/66.44 (85) pred(all_4_98) = all_4_68
% 260.76/66.44 (86) pred(all_4_94) = all_4_52
% 260.76/66.44
% 260.76/66.44 Begin of proof
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (79), (85) imply:
% 260.76/66.44 | (87) pred(n1) = all_4_68
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (26), (72) imply:
% 260.76/66.44 | (88) pred(n1) = all_4_71
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (70), (79) imply:
% 260.76/66.44 | (89) succ(n1) = all_4_70
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (46), (72) imply:
% 260.76/66.44 | (90) succ(n1) = all_4_67
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (3), (72) imply:
% 260.76/66.44 | (91) sum(n6, n6) = n1
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (44) with n2, all_4_67, n1, simplifying with (5),
% 260.76/66.44 | (90) gives:
% 260.76/66.44 | (92) all_4_67 = n2
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (44) with all_4_70, all_4_67, n1, simplifying with
% 260.76/66.44 | (89), (90) gives:
% 260.76/66.44 | (93) all_4_67 = all_4_70
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (81) with n0, all_4_68, n1, simplifying with (73),
% 260.76/66.44 | (87) gives:
% 260.76/66.44 | (94) all_4_68 = n0
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (81) with all_4_71, all_4_68, n1, simplifying with
% 260.76/66.44 | (87), (88) gives:
% 260.76/66.44 | (95) all_4_68 = all_4_71
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (92), (93) imply:
% 260.76/66.44 | (96) all_4_70 = n2
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (94), (95) imply:
% 260.76/66.44 | (97) all_4_71 = n0
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (61), (92), (94) imply:
% 260.76/66.44 | (98) sum(n0, n2) = all_4_66
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (74), (94), (96) imply:
% 260.76/66.44 | (99) sum(n0, n2) = all_4_64
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (58), (92), (97) imply:
% 260.76/66.44 | (100) sum(n0, n2) = all_4_65
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (17), (96), (97) imply:
% 260.76/66.44 | (101) sum(n0, n2) = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with n2, all_4_65, n2, n0, simplifying with
% 260.76/66.44 | (32), (100) gives:
% 260.76/66.44 | (102) all_4_65 = n2
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with all_4_66, all_4_65, n2, n0, simplifying
% 260.76/66.44 | with (98), (100) gives:
% 260.76/66.44 | (103) all_4_65 = all_4_66
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with all_4_66, all_4_64, n2, n0, simplifying
% 260.76/66.44 | with (98), (99) gives:
% 260.76/66.44 | (104) all_4_64 = all_4_66
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with all_4_69, all_4_64, n2, n0, simplifying
% 260.76/66.44 | with (99), (101) gives:
% 260.76/66.44 | (105) all_4_64 = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (104), (105) imply:
% 260.76/66.44 | (106) all_4_66 = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (106) implies:
% 260.76/66.44 | (107) all_4_66 = all_4_69
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (102), (103) imply:
% 260.76/66.44 | (108) all_4_66 = n2
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (108) implies:
% 260.76/66.44 | (109) all_4_66 = n2
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (107), (109) imply:
% 260.76/66.44 | (110) all_4_69 = n2
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (105), (110) imply:
% 260.76/66.44 | (111) all_4_64 = n2
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (42), (102), (111) imply:
% 260.76/66.44 | (112) sum(n2, n2) = all_4_96
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (68), (109), (110) imply:
% 260.76/66.44 | (113) sum(n2, n2) = all_4_97
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with n4, all_4_96, n2, n2, simplifying with
% 260.76/66.44 | (10), (112) gives:
% 260.76/66.44 | (114) all_4_96 = n4
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with all_4_97, all_4_96, n2, n2, simplifying
% 260.76/66.44 | with (112), (113) gives:
% 260.76/66.44 | (115) all_4_96 = all_4_97
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (114), (115) imply:
% 260.76/66.44 | (116) all_4_97 = n4
% 260.76/66.44 |
% 260.76/66.44 | SIMP: (116) implies:
% 260.76/66.44 | (117) all_4_97 = n4
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (49), (114) imply:
% 260.76/66.44 | (118) pred(n4) = all_4_60
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (45), (117) imply:
% 260.76/66.44 | (119) pred(n4) = all_4_63
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (51), (114) imply:
% 260.76/66.44 | (120) succ(n4) = all_4_62
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (75), (117) imply:
% 260.76/66.44 | (121) succ(n4) = all_4_59
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (44) with n5, all_4_59, n4, simplifying with (69),
% 260.76/66.44 | (121) gives:
% 260.76/66.44 | (122) all_4_59 = n5
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (44) with all_4_62, all_4_59, n4, simplifying with
% 260.76/66.44 | (120), (121) gives:
% 260.76/66.44 | (123) all_4_59 = all_4_62
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (81) with n3, all_4_60, n4, simplifying with (43),
% 260.76/66.44 | (118) gives:
% 260.76/66.44 | (124) all_4_60 = n3
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (81) with all_4_63, all_4_60, n4, simplifying with
% 260.76/66.44 | (118), (119) gives:
% 260.76/66.44 | (125) all_4_60 = all_4_63
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (122), (123) imply:
% 260.76/66.44 | (126) all_4_62 = n5
% 260.76/66.44 |
% 260.76/66.44 | COMBINE_EQS: (124), (125) imply:
% 260.76/66.44 | (127) all_4_63 = n3
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (59), (122), (124) imply:
% 260.76/66.44 | (128) sum(n3, n5) = all_4_58
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (16), (124), (126) imply:
% 260.76/66.44 | (129) sum(n3, n5) = all_4_56
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (20), (122), (127) imply:
% 260.76/66.44 | (130) sum(n3, n5) = all_4_57
% 260.76/66.44 |
% 260.76/66.44 | REDUCE: (22), (126), (127) imply:
% 260.76/66.44 | (131) sum(n3, n5) = all_4_61
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with n8, all_4_57, n5, n3, simplifying with
% 260.76/66.44 | (34), (130) gives:
% 260.76/66.44 | (132) all_4_57 = n8
% 260.76/66.44 |
% 260.76/66.44 | GROUND_INST: instantiating (63) with all_4_58, all_4_57, n5, n3, simplifying
% 260.76/66.45 | with (128), (130) gives:
% 260.76/66.45 | (133) all_4_57 = all_4_58
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_57, all_4_56, n5, n3, simplifying
% 260.76/66.45 | with (129), (130) gives:
% 260.76/66.45 | (134) all_4_56 = all_4_57
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_61, all_4_56, n5, n3, simplifying
% 260.76/66.45 | with (129), (131) gives:
% 260.76/66.45 | (135) all_4_56 = all_4_61
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (134), (135) imply:
% 260.76/66.45 | (136) all_4_57 = all_4_61
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (136) implies:
% 260.76/66.45 | (137) all_4_57 = all_4_61
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (132), (133) imply:
% 260.76/66.45 | (138) all_4_58 = n8
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (133), (137) imply:
% 260.76/66.45 | (139) all_4_58 = all_4_61
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (138), (139) imply:
% 260.76/66.45 | (140) all_4_61 = n8
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (135), (140) imply:
% 260.76/66.45 | (141) all_4_56 = n8
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (31), (132), (141) imply:
% 260.76/66.45 | (142) sum(n8, n8) = all_4_94
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (77), (138), (140) imply:
% 260.76/66.45 | (143) sum(n8, n8) = all_4_95
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n5, all_4_94, n8, n8, simplifying with
% 260.76/66.45 | (25), (142) gives:
% 260.76/66.45 | (144) all_4_94 = n5
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_95, all_4_94, n8, n8, simplifying
% 260.76/66.45 | with (142), (143) gives:
% 260.76/66.45 | (145) all_4_94 = all_4_95
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (144), (145) imply:
% 260.76/66.45 | (146) all_4_95 = n5
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (86), (144) imply:
% 260.76/66.45 | (147) pred(n5) = all_4_52
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (11), (146) imply:
% 260.76/66.45 | (148) pred(n5) = all_4_55
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (23), (144) imply:
% 260.76/66.45 | (149) succ(n5) = all_4_54
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (2), (146) imply:
% 260.76/66.45 | (150) succ(n5) = all_4_51
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (44) with n6, all_4_51, n5, simplifying with (67),
% 260.76/66.45 | (150) gives:
% 260.76/66.45 | (151) all_4_51 = n6
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (44) with all_4_54, all_4_51, n5, simplifying with
% 260.76/66.45 | (149), (150) gives:
% 260.76/66.45 | (152) all_4_51 = all_4_54
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (81) with n4, all_4_52, n5, simplifying with (37),
% 260.76/66.45 | (147) gives:
% 260.76/66.45 | (153) all_4_52 = n4
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (81) with all_4_55, all_4_52, n5, simplifying with
% 260.76/66.45 | (147), (148) gives:
% 260.76/66.45 | (154) all_4_52 = all_4_55
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (151), (152) imply:
% 260.76/66.45 | (155) all_4_54 = n6
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (153), (154) imply:
% 260.76/66.45 | (156) all_4_55 = n4
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (156) implies:
% 260.76/66.45 | (157) all_4_55 = n4
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (82), (151), (153) imply:
% 260.76/66.45 | (158) sum(n4, n6) = all_4_50
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (15), (153), (155) imply:
% 260.76/66.45 | (159) sum(n4, n6) = all_4_48
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (54), (151), (157) imply:
% 260.76/66.45 | (160) sum(n4, n6) = all_4_49
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (18), (155), (157) imply:
% 260.76/66.45 | (161) sum(n4, n6) = all_4_53
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n10, all_4_49, n6, n4, simplifying with
% 260.76/66.45 | (7), (160) gives:
% 260.76/66.45 | (162) all_4_49 = n10
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_50, all_4_49, n6, n4, simplifying
% 260.76/66.45 | with (158), (160) gives:
% 260.76/66.45 | (163) all_4_49 = all_4_50
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_49, all_4_48, n6, n4, simplifying
% 260.76/66.45 | with (159), (160) gives:
% 260.76/66.45 | (164) all_4_48 = all_4_49
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_53, all_4_48, n6, n4, simplifying
% 260.76/66.45 | with (159), (161) gives:
% 260.76/66.45 | (165) all_4_48 = all_4_53
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (164), (165) imply:
% 260.76/66.45 | (166) all_4_49 = all_4_53
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (166) implies:
% 260.76/66.45 | (167) all_4_49 = all_4_53
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (162), (163) imply:
% 260.76/66.45 | (168) all_4_50 = n10
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (163), (167) imply:
% 260.76/66.45 | (169) all_4_50 = all_4_53
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (168), (169) imply:
% 260.76/66.45 | (170) all_4_53 = n10
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (165), (170) imply:
% 260.76/66.45 | (171) all_4_48 = n10
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (80), (162), (171) imply:
% 260.76/66.45 | (172) sum(n10, n10) = all_4_92
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (83), (168), (170) imply:
% 260.76/66.45 | (173) sum(n10, n10) = all_4_93
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n9, all_4_92, n10, n10, simplifying with
% 260.76/66.45 | (35), (172) gives:
% 260.76/66.45 | (174) all_4_92 = n9
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_93, all_4_92, n10, n10, simplifying
% 260.76/66.45 | with (172), (173) gives:
% 260.76/66.45 | (175) all_4_92 = all_4_93
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (174), (175) imply:
% 260.76/66.45 | (176) all_4_93 = n9
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (176) implies:
% 260.76/66.45 | (177) all_4_93 = n9
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (41), (174) imply:
% 260.76/66.45 | (178) pred(n9) = all_4_44
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (57), (177) imply:
% 260.76/66.45 | (179) pred(n9) = all_4_47
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (8), (174) imply:
% 260.76/66.45 | (180) succ(n9) = all_4_46
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (84), (177) imply:
% 260.76/66.45 | (181) succ(n9) = all_4_43
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (44) with n10, all_4_43, n9, simplifying with (14),
% 260.76/66.45 | (181) gives:
% 260.76/66.45 | (182) all_4_43 = n10
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (44) with all_4_46, all_4_43, n9, simplifying with
% 260.76/66.45 | (180), (181) gives:
% 260.76/66.45 | (183) all_4_43 = all_4_46
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (81) with n8, all_4_44, n9, simplifying with (47),
% 260.76/66.45 | (178) gives:
% 260.76/66.45 | (184) all_4_44 = n8
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (81) with all_4_47, all_4_44, n9, simplifying with
% 260.76/66.45 | (178), (179) gives:
% 260.76/66.45 | (185) all_4_44 = all_4_47
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (182), (183) imply:
% 260.76/66.45 | (186) all_4_46 = n10
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (184), (185) imply:
% 260.76/66.45 | (187) all_4_47 = n8
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (66), (182), (184) imply:
% 260.76/66.45 | (188) sum(n8, n10) = all_4_42
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (12), (184), (186) imply:
% 260.76/66.45 | (189) sum(n8, n10) = all_4_40
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (36), (182), (187) imply:
% 260.76/66.45 | (190) sum(n8, n10) = all_4_41
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (56), (186), (187) imply:
% 260.76/66.45 | (191) sum(n8, n10) = all_4_45
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n7, all_4_41, n10, n8, simplifying with
% 260.76/66.45 | (30), (190) gives:
% 260.76/66.45 | (192) all_4_41 = n7
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_42, all_4_41, n10, n8, simplifying
% 260.76/66.45 | with (188), (190) gives:
% 260.76/66.45 | (193) all_4_41 = all_4_42
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_41, all_4_40, n10, n8, simplifying
% 260.76/66.45 | with (189), (190) gives:
% 260.76/66.45 | (194) all_4_40 = all_4_41
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_45, all_4_40, n10, n8, simplifying
% 260.76/66.45 | with (189), (191) gives:
% 260.76/66.45 | (195) all_4_40 = all_4_45
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (194), (195) imply:
% 260.76/66.45 | (196) all_4_41 = all_4_45
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (196) implies:
% 260.76/66.45 | (197) all_4_41 = all_4_45
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (192), (193) imply:
% 260.76/66.45 | (198) all_4_42 = n7
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (193), (197) imply:
% 260.76/66.45 | (199) all_4_42 = all_4_45
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (198), (199) imply:
% 260.76/66.45 | (200) all_4_45 = n7
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (200) implies:
% 260.76/66.45 | (201) all_4_45 = n7
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (195), (201) imply:
% 260.76/66.45 | (202) all_4_40 = n7
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (60), (192), (202) imply:
% 260.76/66.45 | (203) sum(n7, n7) = all_4_90
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (64), (198), (201) imply:
% 260.76/66.45 | (204) sum(n7, n7) = all_4_91
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n3, all_4_90, n7, n7, simplifying with
% 260.76/66.45 | (78), (203) gives:
% 260.76/66.45 | (205) all_4_90 = n3
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_91, all_4_90, n7, n7, simplifying
% 260.76/66.45 | with (203), (204) gives:
% 260.76/66.45 | (206) all_4_90 = all_4_91
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (205), (206) imply:
% 260.76/66.45 | (207) all_4_91 = n3
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (207) implies:
% 260.76/66.45 | (208) all_4_91 = n3
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (71), (205) imply:
% 260.76/66.45 | (209) pred(n3) = all_4_36
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (39), (208) imply:
% 260.76/66.45 | (210) pred(n3) = all_4_39
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (27), (205) imply:
% 260.76/66.45 | (211) succ(n3) = all_4_38
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (6), (208) imply:
% 260.76/66.45 | (212) succ(n3) = all_4_35
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (44) with n4, all_4_35, n3, simplifying with (48),
% 260.76/66.45 | (212) gives:
% 260.76/66.45 | (213) all_4_35 = n4
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (44) with all_4_38, all_4_35, n3, simplifying with
% 260.76/66.45 | (211), (212) gives:
% 260.76/66.45 | (214) all_4_35 = all_4_38
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (81) with n2, all_4_36, n3, simplifying with (52),
% 260.76/66.45 | (209) gives:
% 260.76/66.45 | (215) all_4_36 = n2
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (81) with all_4_39, all_4_36, n3, simplifying with
% 260.76/66.45 | (209), (210) gives:
% 260.76/66.45 | (216) all_4_36 = all_4_39
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (213), (214) imply:
% 260.76/66.45 | (217) all_4_38 = n4
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (215), (216) imply:
% 260.76/66.45 | (218) all_4_39 = n2
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (55), (213), (215) imply:
% 260.76/66.45 | (219) sum(n2, n4) = all_4_34
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (76), (215), (217) imply:
% 260.76/66.45 | (220) sum(n2, n4) = all_4_32
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (62), (213), (218) imply:
% 260.76/66.45 | (221) sum(n2, n4) = all_4_33
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (65), (217), (218) imply:
% 260.76/66.45 | (222) sum(n2, n4) = all_4_37
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n6, all_4_33, n4, n2, simplifying with
% 260.76/66.45 | (19), (221) gives:
% 260.76/66.45 | (223) all_4_33 = n6
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_34, all_4_33, n4, n2, simplifying
% 260.76/66.45 | with (219), (221) gives:
% 260.76/66.45 | (224) all_4_33 = all_4_34
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_33, all_4_32, n4, n2, simplifying
% 260.76/66.45 | with (220), (221) gives:
% 260.76/66.45 | (225) all_4_32 = all_4_33
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_37, all_4_32, n4, n2, simplifying
% 260.76/66.45 | with (220), (222) gives:
% 260.76/66.45 | (226) all_4_32 = all_4_37
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (225), (226) imply:
% 260.76/66.45 | (227) all_4_33 = all_4_37
% 260.76/66.45 |
% 260.76/66.45 | SIMP: (227) implies:
% 260.76/66.45 | (228) all_4_33 = all_4_37
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (223), (224) imply:
% 260.76/66.45 | (229) all_4_34 = n6
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (224), (228) imply:
% 260.76/66.45 | (230) all_4_34 = all_4_37
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (229), (230) imply:
% 260.76/66.45 | (231) all_4_37 = n6
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (226), (231) imply:
% 260.76/66.45 | (232) all_4_32 = n6
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (33), (223), (232) imply:
% 260.76/66.45 | (233) sum(n6, n6) = all_4_88
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (24), (229), (231) imply:
% 260.76/66.45 | (234) sum(n6, n6) = all_4_89
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with n1, all_4_88, n6, n6, simplifying with
% 260.76/66.45 | (91), (233) gives:
% 260.76/66.45 | (235) all_4_88 = n1
% 260.76/66.45 |
% 260.76/66.45 | GROUND_INST: instantiating (63) with all_4_89, all_4_88, n6, n6, simplifying
% 260.76/66.45 | with (233), (234) gives:
% 260.76/66.45 | (236) all_4_88 = all_4_89
% 260.76/66.45 |
% 260.76/66.45 | COMBINE_EQS: (235), (236) imply:
% 260.76/66.45 | (237) all_4_89 = n1
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (28), (235) imply:
% 260.76/66.45 | (238) pred(n1) = all_4_28
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (40), (237) imply:
% 260.76/66.45 | (239) pred(n1) = all_4_31
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (53), (235) imply:
% 260.76/66.45 | (240) succ(n1) = all_4_30
% 260.76/66.45 |
% 260.76/66.45 | REDUCE: (9), (237) imply:
% 260.76/66.45 | (241) succ(n1) = all_4_27
% 260.76/66.45 |
% 260.76/66.45 | REF_CLOSE: (1), (4), (5), (10), (13), (19), (21), (24), (29), (32), (33),
% 260.76/66.45 | (38), (44), (48), (50), (52), (55), (62), (63), (65), (72), (73),
% 260.76/66.45 | (76), (79), (81), (91), (114), (117), (144), (146), (174), (177),
% 260.76/66.45 | (205), (208), (209), (210), (211), (212), (238), (239), (240),
% 260.76/66.45 | (241) are inconsistent by sub-proof #84.
% 260.76/66.45 |
% 260.76/66.45 End of proof
% 260.76/66.45
% 260.76/66.45 Sub-proof #34 shows that the following formulas are inconsistent:
% 260.76/66.45 ----------------------------------------------------------------
% 260.76/66.45 (1) succ(all_4_95) = all_4_51
% 260.76/66.45 (2) succ(n1) = n2
% 260.76/66.45 (3) sum(n6, n2) = n8
% 260.76/66.45 (4) succ(all_4_91) = all_4_35
% 260.76/66.45 (5) sum(n4, n6) = n10
% 260.76/66.45 (6) succ(all_4_92) = all_4_46
% 260.76/66.45 (7) sum(n2, n2) = n4
% 260.76/66.45 (8) pred(all_4_95) = all_4_55
% 260.76/66.45 (9) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.45 (10) sum(all_4_76, all_4_78) = all_4_72
% 260.76/66.45 (11) succ(n9) = n10
% 260.76/66.45 (12) sum(n9, n0) = n9
% 260.76/66.45 (13) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.45 (14) sum(n3, n0) = n3
% 260.76/66.45 (15) sum(n3, n3) = n6
% 260.76/66.45 (16) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.45 (17) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.45 (18) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.45 (19) sum(n2, n4) = n6
% 260.76/66.45 (20) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.45 (21) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.45 (22) succ(all_4_94) = all_4_54
% 260.76/66.45 (23) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.45 (24) sum(n10, n1) = n0
% 260.76/66.45 (25) sum(n3, all_4_72) = all_4_98
% 260.76/66.45 (26) sum(n8, n8) = n5
% 260.76/66.45 (27) sum(n1, n8) = n9
% 260.76/66.45 (28) pred(n8) = n7
% 260.76/66.45 (29) pred(all_4_99) = all_4_71
% 260.76/66.45 (30) succ(all_4_90) = all_4_38
% 260.76/66.45 (31) sum(n6, n8) = n3
% 260.76/66.45 (32) succ(n0) = n1
% 260.76/66.45 (33) sum(n8, n10) = n7
% 260.76/66.45 (34) sum(all_4_76, n8) = all_4_74
% 260.76/66.45 (35) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.45 (36) sum(n0, n2) = n2
% 260.76/66.45 (37) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.45 (38) sum(n3, n5) = n8
% 260.76/66.45 (39) sum(n10, n10) = n9
% 260.76/66.45 (40) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.45 (41) sum(n6, n1) = n7
% 260.76/66.45 (42) sum(n6, all_4_78) = all_4_77
% 260.76/66.45 (43) pred(n5) = n4
% 260.76/66.45 (44) pred(all_4_91) = all_4_39
% 260.76/66.45 (45) pred(all_4_92) = all_4_44
% 260.76/66.45 (46) sum(n0, n8) = n8
% 260.76/66.45 (47) sum(n5, n7) = n1
% 260.76/66.45 (48) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.45 (49) succ(n10) = n0
% 260.76/66.45 (50) pred(n4) = n3
% 260.76/66.45 (51) succ(all_4_100) = all_4_78
% 260.76/66.45 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.45 | ~ (succ(v2) = v0))
% 260.76/66.45 (53) pred(all_4_97) = all_4_63
% 260.76/66.45 (54) succ(all_4_99) = all_4_67
% 260.76/66.45 (55) pred(n9) = n8
% 260.76/66.45 (56) succ(n3) = n4
% 260.76/66.45 (57) pred(n6) = n5
% 260.76/66.45 (58) pred(all_4_96) = all_4_60
% 260.76/66.45 (59) succ(all_4_96) = all_4_62
% 260.76/66.45 (60) pred(n3) = n2
% 260.76/66.45 (61) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.45 (62) pred(n7) = n6
% 260.76/66.45 (63) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.45 (64) succ(n7) = n8
% 260.76/66.45 (65) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.45 (66) pred(all_4_93) = all_4_47
% 260.76/66.45 (67) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.45 (68) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.45 (69) sum(n3, n4) = n7
% 260.76/66.45 (70) sum(n5, n5) = n10
% 260.76/66.45 (71) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.45 (72) succ(n2) = n3
% 260.76/66.45 (73) sum(n10, n8) = n7
% 260.76/66.45 (74) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.45 (75) succ(n6) = n7
% 260.76/66.45 (76) succ(n8) = n9
% 260.76/66.45 (77) sum(n6, n3) = n9
% 260.76/66.45 (78) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.45 (79) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.45 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.45 (80) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.45 (81) sum(n9, n9) = n7
% 260.76/66.45 (82) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.45 (83) sum(n6, n6) = n1
% 260.76/66.45 (84) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.45 (85) succ(n5) = n6
% 260.76/66.45 (86) pred(n10) = n9
% 260.76/66.45 (87) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.45 (88) sum(n7, n9) = n5
% 260.76/66.45 (89) succ(n4) = n5
% 260.76/66.45 (90) pred(n2) = n1
% 260.76/66.45 (91) succ(all_4_98) = all_4_70
% 260.76/66.45 (92) pred(all_4_90) = all_4_36
% 260.76/66.45 (93) sum(n4, n4) = n8
% 260.76/66.45 (94) pred(n1) = n0
% 260.76/66.45 (95) all_4_100 = n2 | all_4_100 = n1 | all_4_100 = n0
% 260.76/66.45 (96) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.45 (97) succ(all_4_97) = all_4_59
% 260.76/66.45 (98) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.45 (99) sum(all_4_77, all_4_74) = all_4_99
% 260.76/66.45 (100) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.45 (101) sum(n7, n7) = n3
% 260.76/66.45 (102) pred(all_4_100) = all_4_76
% 260.76/66.45 (103) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.45 (104) sum(n3, n2) = n5
% 260.76/66.45 (105) sum(n1, n3) = n4
% 260.76/66.45 (106) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.45 | ~ (pred(v2) = v0))
% 260.76/66.45 (107) sum(n1, n1) = n2
% 260.76/66.45 (108) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.45 (109) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.45 (110) succ(all_4_93) = all_4_43
% 260.76/66.45 (111) pred(all_4_98) = all_4_68
% 260.76/66.45 (112) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.76/66.45 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.76/66.45 (all_4_98 = all_4_99)
% 260.76/66.45 (113) pred(n0) = n10
% 260.76/66.45 (114) pred(all_4_94) = all_4_52
% 260.76/66.45
% 260.76/66.45 Begin of proof
% 260.76/66.45 |
% 260.76/66.45 | BETA: splitting (95) gives:
% 260.76/66.45 |
% 260.76/66.45 | Case 1:
% 260.76/66.45 | |
% 260.76/66.45 | | (115) all_4_100 = n2
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (102), (115) imply:
% 260.76/66.45 | | (116) pred(n2) = all_4_76
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (51), (115) imply:
% 260.76/66.45 | | (117) succ(n2) = all_4_78
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (52) with n3, all_4_78, n2, simplifying with
% 260.76/66.45 | | (72), (117) gives:
% 260.76/66.45 | | (118) all_4_78 = n3
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (106) with n1, all_4_76, n2, simplifying with
% 260.76/66.45 | | (90), (116) gives:
% 260.76/66.45 | | (119) all_4_76 = n1
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (10), (118), (119) imply:
% 260.76/66.45 | | (120) sum(n1, n3) = all_4_72
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (34), (119) imply:
% 260.76/66.45 | | (121) sum(n1, n8) = all_4_74
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (42), (118) imply:
% 260.76/66.45 | | (122) sum(n6, n3) = all_4_77
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (79) with n4, all_4_72, n3, n1, simplifying with
% 260.76/66.45 | | (105), (120) gives:
% 260.76/66.45 | | (123) all_4_72 = n4
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (79) with n9, all_4_74, n8, n1, simplifying with
% 260.76/66.45 | | (27), (121) gives:
% 260.76/66.45 | | (124) all_4_74 = n9
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (79) with n9, all_4_77, n3, n6, simplifying with
% 260.76/66.45 | | (77), (122) gives:
% 260.76/66.45 | | (125) all_4_77 = n9
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (99), (124), (125) imply:
% 260.76/66.45 | | (126) sum(n9, n9) = all_4_99
% 260.76/66.45 | |
% 260.76/66.45 | | REDUCE: (25), (123) imply:
% 260.76/66.45 | | (127) sum(n3, n4) = all_4_98
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (79) with n7, all_4_98, n4, n3, simplifying with
% 260.76/66.45 | | (69), (127) gives:
% 260.76/66.45 | | (128) all_4_98 = n7
% 260.76/66.45 | |
% 260.76/66.45 | | GROUND_INST: instantiating (79) with n7, all_4_99, n9, n9, simplifying with
% 260.76/66.45 | | (81), (126) gives:
% 260.76/66.45 | | (129) all_4_99 = n7
% 260.76/66.45 | |
% 260.76/66.45 | | REF_CLOSE: (1), (4), (6), (8), (9), (12), (13), (15), (16), (17), (18),
% 260.76/66.45 | | (20), (21), (22), (23), (28), (29), (30), (31), (35), (37), (40),
% 260.76/66.45 | | (44), (45), (47), (48), (49), (52), (53), (54), (57), (58), (59),
% 260.76/66.45 | | (61), (62), (63), (64), (65), (66), (67), (68), (70), (71), (72),
% 260.76/66.45 | | (74), (75), (76), (78), (79), (80), (82), (84), (86), (87), (88),
% 260.76/66.45 | | (90), (91), (92), (93), (96), (97), (98), (100), (103), (105),
% 260.76/66.45 | | (106), (107), (108), (109), (110), (111), (112), (114), (126),
% 260.76/66.45 | | (128), (129) are inconsistent by sub-proof #81.
% 260.76/66.45 | |
% 260.76/66.45 | Case 2:
% 260.76/66.45 | |
% 260.76/66.45 | | (130) all_4_100 = n1 | all_4_100 = n0
% 260.76/66.45 | |
% 260.76/66.45 | | BETA: splitting (130) gives:
% 260.76/66.45 | |
% 260.76/66.45 | | Case 1:
% 260.76/66.45 | | |
% 260.76/66.45 | | | (131) all_4_100 = n1
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (102), (131) imply:
% 260.76/66.45 | | | (132) pred(n1) = all_4_76
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (51), (131) imply:
% 260.76/66.45 | | | (133) succ(n1) = all_4_78
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (52) with n2, all_4_78, n1, simplifying with
% 260.76/66.45 | | | (2), (133) gives:
% 260.76/66.45 | | | (134) all_4_78 = n2
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (106) with n0, all_4_76, n1, simplifying with
% 260.76/66.45 | | | (94), (132) gives:
% 260.76/66.45 | | | (135) all_4_76 = n0
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (10), (134), (135) imply:
% 260.76/66.45 | | | (136) sum(n0, n2) = all_4_72
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (34), (135) imply:
% 260.76/66.45 | | | (137) sum(n0, n8) = all_4_74
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (42), (134) imply:
% 260.76/66.45 | | | (138) sum(n6, n2) = all_4_77
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n2, all_4_72, n2, n0, simplifying
% 260.76/66.45 | | | with (36), (136) gives:
% 260.76/66.45 | | | (139) all_4_72 = n2
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n8, all_4_74, n8, n0, simplifying
% 260.76/66.45 | | | with (46), (137) gives:
% 260.76/66.45 | | | (140) all_4_74 = n8
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n8, all_4_77, n2, n6, simplifying
% 260.76/66.45 | | | with (3), (138) gives:
% 260.76/66.45 | | | (141) all_4_77 = n8
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (99), (140), (141) imply:
% 260.76/66.45 | | | (142) sum(n8, n8) = all_4_99
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (25), (139) imply:
% 260.76/66.45 | | | (143) sum(n3, n2) = all_4_98
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n5, all_4_98, n2, n3, simplifying
% 260.76/66.45 | | | with (104), (143) gives:
% 260.76/66.45 | | | (144) all_4_98 = n5
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n5, all_4_99, n8, n8, simplifying
% 260.76/66.45 | | | with (26), (142) gives:
% 260.76/66.45 | | | (145) all_4_99 = n5
% 260.76/66.45 | | |
% 260.76/66.45 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (13), (16), (17),
% 260.76/66.45 | | | (18), (19), (20), (21), (22), (23), (29), (30), (33), (35),
% 260.76/66.45 | | | (36), (37), (38), (39), (40), (43), (44), (45), (48), (50),
% 260.76/66.45 | | | (52), (53), (54), (55), (56), (58), (59), (60), (61), (63),
% 260.76/66.45 | | | (65), (66), (67), (68), (71), (74), (78), (79), (80), (82),
% 260.76/66.45 | | | (83), (84), (85), (87), (89), (91), (92), (94), (96), (97),
% 260.76/66.45 | | | (98), (100), (101), (103), (106), (108), (109), (110), (111),
% 260.76/66.45 | | | (112), (114), (142), (144), (145) are inconsistent by sub-proof
% 260.76/66.45 | | | #66.
% 260.76/66.45 | | |
% 260.76/66.45 | | Case 2:
% 260.76/66.45 | | |
% 260.76/66.45 | | | (146) all_4_100 = n0
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (102), (146) imply:
% 260.76/66.45 | | | (147) pred(n0) = all_4_76
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (51), (146) imply:
% 260.76/66.45 | | | (148) succ(n0) = all_4_78
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (52) with n1, all_4_78, n0, simplifying with
% 260.76/66.45 | | | (32), (148) gives:
% 260.76/66.45 | | | (149) all_4_78 = n1
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (106) with n10, all_4_76, n0, simplifying with
% 260.76/66.45 | | | (113), (147) gives:
% 260.76/66.45 | | | (150) all_4_76 = n10
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (10), (149), (150) imply:
% 260.76/66.45 | | | (151) sum(n10, n1) = all_4_72
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (34), (150) imply:
% 260.76/66.45 | | | (152) sum(n10, n8) = all_4_74
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (42), (149) imply:
% 260.76/66.45 | | | (153) sum(n6, n1) = all_4_77
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n7, all_4_77, n1, n6, simplifying
% 260.76/66.45 | | | with (41), (153) gives:
% 260.76/66.45 | | | (154) all_4_77 = n7
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n0, all_4_72, n1, n10, simplifying
% 260.76/66.45 | | | with (24), (151) gives:
% 260.76/66.45 | | | (155) all_4_72 = n0
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n7, all_4_74, n8, n10, simplifying
% 260.76/66.45 | | | with (73), (152) gives:
% 260.76/66.45 | | | (156) all_4_74 = n7
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (99), (154), (156) imply:
% 260.76/66.45 | | | (157) sum(n7, n7) = all_4_99
% 260.76/66.45 | | |
% 260.76/66.45 | | | REDUCE: (25), (155) imply:
% 260.76/66.45 | | | (158) sum(n3, n0) = all_4_98
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n3, all_4_98, n0, n3, simplifying
% 260.76/66.45 | | | with (14), (158) gives:
% 260.76/66.45 | | | (159) all_4_98 = n3
% 260.76/66.45 | | |
% 260.76/66.45 | | | GROUND_INST: instantiating (79) with n3, all_4_99, n7, n7, simplifying
% 260.76/66.45 | | | with (101), (157) gives:
% 260.76/66.45 | | | (160) all_4_99 = n3
% 260.76/66.45 | | |
% 260.76/66.45 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (13), (16), (17),
% 260.76/66.45 | | | (18), (19), (20), (21), (22), (23), (26), (29), (30), (33),
% 260.76/66.45 | | | (35), (36), (37), (38), (39), (40), (43), (44), (45), (48),
% 260.76/66.45 | | | (50), (52), (53), (54), (55), (56), (58), (59), (60), (61),
% 260.76/66.45 | | | (63), (65), (66), (67), (68), (71), (74), (78), (79), (80),
% 260.76/66.45 | | | (82), (83), (84), (85), (87), (89), (91), (92), (94), (96),
% 260.76/66.45 | | | (97), (98), (100), (103), (106), (108), (109), (110), (111),
% 260.76/66.45 | | | (112), (114), (157), (159), (160) are inconsistent by sub-proof
% 260.76/66.46 | | | #35.
% 260.76/66.46 | | |
% 260.76/66.46 | | End of split
% 260.76/66.46 | |
% 260.76/66.46 | End of split
% 260.76/66.46 |
% 260.76/66.46 End of proof
% 260.76/66.46
% 260.76/66.46 Sub-proof #35 shows that the following formulas are inconsistent:
% 260.76/66.46 ----------------------------------------------------------------
% 260.76/66.46 (1) succ(all_4_95) = all_4_51
% 260.76/66.46 (2) succ(n1) = n2
% 260.76/66.46 (3) succ(all_4_91) = all_4_35
% 260.76/66.46 (4) sum(n4, n6) = n10
% 260.76/66.46 (5) succ(all_4_92) = all_4_46
% 260.76/66.46 (6) sum(n2, n2) = n4
% 260.76/66.46 (7) pred(all_4_95) = all_4_55
% 260.76/66.46 (8) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.46 (9) succ(n9) = n10
% 260.76/66.46 (10) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.46 (11) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.46 (12) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.46 (13) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.46 (14) sum(n2, n4) = n6
% 260.76/66.46 (15) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.46 (16) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.46 (17) succ(all_4_94) = all_4_54
% 260.76/66.46 (18) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.46 (19) sum(n8, n8) = n5
% 260.76/66.46 (20) pred(all_4_99) = all_4_71
% 260.76/66.46 (21) succ(all_4_90) = all_4_38
% 260.76/66.46 (22) sum(n8, n10) = n7
% 260.76/66.46 (23) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.46 (24) sum(n0, n2) = n2
% 260.76/66.46 (25) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.46 (26) sum(n3, n5) = n8
% 260.76/66.46 (27) sum(n10, n10) = n9
% 260.76/66.46 (28) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.46 (29) pred(n5) = n4
% 260.76/66.46 (30) pred(all_4_91) = all_4_39
% 260.76/66.46 (31) pred(all_4_92) = all_4_44
% 260.76/66.46 (32) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.46 (33) pred(n4) = n3
% 260.76/66.46 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.46 | ~ (succ(v2) = v0))
% 260.76/66.46 (35) pred(all_4_97) = all_4_63
% 260.76/66.46 (36) succ(all_4_99) = all_4_67
% 260.76/66.46 (37) pred(n9) = n8
% 260.76/66.46 (38) succ(n3) = n4
% 260.76/66.46 (39) pred(all_4_96) = all_4_60
% 260.76/66.46 (40) succ(all_4_96) = all_4_62
% 260.76/66.46 (41) pred(n3) = n2
% 260.76/66.46 (42) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.46 (43) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.46 (44) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.46 (45) pred(all_4_93) = all_4_47
% 260.76/66.46 (46) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.46 (47) all_4_98 = n3
% 260.76/66.46 (48) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.46 (49) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.46 (50) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.46 (51) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.46 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.46 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.46 (53) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.46 (54) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.46 (55) sum(n6, n6) = n1
% 260.76/66.46 (56) sum(n7, n7) = all_4_99
% 260.76/66.46 (57) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.46 (58) succ(n5) = n6
% 260.76/66.46 (59) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.46 (60) succ(n4) = n5
% 260.76/66.46 (61) succ(all_4_98) = all_4_70
% 260.76/66.46 (62) all_4_99 = n3
% 260.76/66.46 (63) pred(all_4_90) = all_4_36
% 260.76/66.46 (64) pred(n1) = n0
% 260.76/66.46 (65) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.46 (66) succ(all_4_97) = all_4_59
% 260.76/66.46 (67) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.46 (68) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.46 (69) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.46 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.46 | ~ (pred(v2) = v0))
% 260.76/66.46 (71) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.46 (72) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.46 (73) succ(all_4_93) = all_4_43
% 260.76/66.46 (74) pred(all_4_98) = all_4_68
% 260.76/66.46 (75) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.76/66.46 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.76/66.46 (all_4_98 = all_4_99)
% 260.76/66.46 (76) pred(all_4_94) = all_4_52
% 260.76/66.46
% 260.76/66.46 Begin of proof
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (47), (74) imply:
% 260.76/66.46 | (77) pred(n3) = all_4_68
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (20), (62) imply:
% 260.76/66.46 | (78) pred(n3) = all_4_71
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (47), (61) imply:
% 260.76/66.46 | (79) succ(n3) = all_4_70
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (36), (62) imply:
% 260.76/66.46 | (80) succ(n3) = all_4_67
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (56), (62) imply:
% 260.76/66.46 | (81) sum(n7, n7) = n3
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with n4, all_4_67, n3, simplifying with (38),
% 260.76/66.46 | (80) gives:
% 260.76/66.46 | (82) all_4_67 = n4
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with all_4_70, all_4_67, n3, simplifying with
% 260.76/66.46 | (79), (80) gives:
% 260.76/66.46 | (83) all_4_67 = all_4_70
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with n2, all_4_68, n3, simplifying with (41),
% 260.76/66.46 | (77) gives:
% 260.76/66.46 | (84) all_4_68 = n2
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with all_4_71, all_4_68, n3, simplifying with
% 260.76/66.46 | (77), (78) gives:
% 260.76/66.46 | (85) all_4_68 = all_4_71
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (82), (83) imply:
% 260.76/66.46 | (86) all_4_70 = n4
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (84), (85) imply:
% 260.76/66.46 | (87) all_4_71 = n2
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (50), (82), (84) imply:
% 260.76/66.46 | (88) sum(n2, n4) = all_4_66
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (65), (84), (86) imply:
% 260.76/66.46 | (89) sum(n2, n4) = all_4_64
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (46), (82), (87) imply:
% 260.76/66.46 | (90) sum(n2, n4) = all_4_65
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (12), (86), (87) imply:
% 260.76/66.46 | (91) sum(n2, n4) = all_4_69
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n6, all_4_65, n4, n2, simplifying with
% 260.76/66.46 | (14), (90) gives:
% 260.76/66.46 | (92) all_4_65 = n6
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_66, all_4_65, n4, n2, simplifying
% 260.76/66.46 | with (88), (90) gives:
% 260.76/66.46 | (93) all_4_65 = all_4_66
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_66, all_4_64, n4, n2, simplifying
% 260.76/66.46 | with (88), (89) gives:
% 260.76/66.46 | (94) all_4_64 = all_4_66
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_69, all_4_64, n4, n2, simplifying
% 260.76/66.46 | with (89), (91) gives:
% 260.76/66.46 | (95) all_4_64 = all_4_69
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (94), (95) imply:
% 260.76/66.46 | (96) all_4_66 = all_4_69
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (96) implies:
% 260.76/66.46 | (97) all_4_66 = all_4_69
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (92), (93) imply:
% 260.76/66.46 | (98) all_4_66 = n6
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (98) implies:
% 260.76/66.46 | (99) all_4_66 = n6
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (97), (99) imply:
% 260.76/66.46 | (100) all_4_69 = n6
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (95), (100) imply:
% 260.76/66.46 | (101) all_4_64 = n6
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (32), (92), (101) imply:
% 260.76/66.46 | (102) sum(n6, n6) = all_4_96
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (59), (99), (100) imply:
% 260.76/66.46 | (103) sum(n6, n6) = all_4_97
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n1, all_4_96, n6, n6, simplifying with
% 260.76/66.46 | (55), (102) gives:
% 260.76/66.46 | (104) all_4_96 = n1
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_97, all_4_96, n6, n6, simplifying
% 260.76/66.46 | with (102), (103) gives:
% 260.76/66.46 | (105) all_4_96 = all_4_97
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (104), (105) imply:
% 260.76/66.46 | (106) all_4_97 = n1
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (106) implies:
% 260.76/66.46 | (107) all_4_97 = n1
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (39), (104) imply:
% 260.76/66.46 | (108) pred(n1) = all_4_60
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (35), (107) imply:
% 260.76/66.46 | (109) pred(n1) = all_4_63
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (40), (104) imply:
% 260.76/66.46 | (110) succ(n1) = all_4_62
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (66), (107) imply:
% 260.76/66.46 | (111) succ(n1) = all_4_59
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with n2, all_4_59, n1, simplifying with (2),
% 260.76/66.46 | (111) gives:
% 260.76/66.46 | (112) all_4_59 = n2
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with all_4_62, all_4_59, n1, simplifying with
% 260.76/66.46 | (110), (111) gives:
% 260.76/66.46 | (113) all_4_59 = all_4_62
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with n0, all_4_60, n1, simplifying with (64),
% 260.76/66.46 | (108) gives:
% 260.76/66.46 | (114) all_4_60 = n0
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with all_4_63, all_4_60, n1, simplifying with
% 260.76/66.46 | (108), (109) gives:
% 260.76/66.46 | (115) all_4_60 = all_4_63
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (112), (113) imply:
% 260.76/66.46 | (116) all_4_62 = n2
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (114), (115) imply:
% 260.76/66.46 | (117) all_4_63 = n0
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (48), (112), (114) imply:
% 260.76/66.46 | (118) sum(n0, n2) = all_4_58
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (11), (114), (116) imply:
% 260.76/66.46 | (119) sum(n0, n2) = all_4_56
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (15), (112), (117) imply:
% 260.76/66.46 | (120) sum(n0, n2) = all_4_57
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (16), (116), (117) imply:
% 260.76/66.46 | (121) sum(n0, n2) = all_4_61
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n2, all_4_57, n2, n0, simplifying with
% 260.76/66.46 | (24), (120) gives:
% 260.76/66.46 | (122) all_4_57 = n2
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_58, all_4_57, n2, n0, simplifying
% 260.76/66.46 | with (118), (120) gives:
% 260.76/66.46 | (123) all_4_57 = all_4_58
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_57, all_4_56, n2, n0, simplifying
% 260.76/66.46 | with (119), (120) gives:
% 260.76/66.46 | (124) all_4_56 = all_4_57
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_61, all_4_56, n2, n0, simplifying
% 260.76/66.46 | with (119), (121) gives:
% 260.76/66.46 | (125) all_4_56 = all_4_61
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (124), (125) imply:
% 260.76/66.46 | (126) all_4_57 = all_4_61
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (126) implies:
% 260.76/66.46 | (127) all_4_57 = all_4_61
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (122), (123) imply:
% 260.76/66.46 | (128) all_4_58 = n2
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (123), (127) imply:
% 260.76/66.46 | (129) all_4_58 = all_4_61
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (128), (129) imply:
% 260.76/66.46 | (130) all_4_61 = n2
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (125), (130) imply:
% 260.76/66.46 | (131) all_4_56 = n2
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (23), (122), (131) imply:
% 260.76/66.46 | (132) sum(n2, n2) = all_4_94
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (68), (128), (130) imply:
% 260.76/66.46 | (133) sum(n2, n2) = all_4_95
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n4, all_4_94, n2, n2, simplifying with
% 260.76/66.46 | (6), (132) gives:
% 260.76/66.46 | (134) all_4_94 = n4
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_95, all_4_94, n2, n2, simplifying
% 260.76/66.46 | with (132), (133) gives:
% 260.76/66.46 | (135) all_4_94 = all_4_95
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (134), (135) imply:
% 260.76/66.46 | (136) all_4_95 = n4
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (76), (134) imply:
% 260.76/66.46 | (137) pred(n4) = all_4_52
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (7), (136) imply:
% 260.76/66.46 | (138) pred(n4) = all_4_55
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (17), (134) imply:
% 260.76/66.46 | (139) succ(n4) = all_4_54
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (1), (136) imply:
% 260.76/66.46 | (140) succ(n4) = all_4_51
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with n5, all_4_51, n4, simplifying with (60),
% 260.76/66.46 | (140) gives:
% 260.76/66.46 | (141) all_4_51 = n5
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with all_4_54, all_4_51, n4, simplifying with
% 260.76/66.46 | (139), (140) gives:
% 260.76/66.46 | (142) all_4_51 = all_4_54
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with n3, all_4_52, n4, simplifying with (33),
% 260.76/66.46 | (137) gives:
% 260.76/66.46 | (143) all_4_52 = n3
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with all_4_55, all_4_52, n4, simplifying with
% 260.76/66.46 | (137), (138) gives:
% 260.76/66.46 | (144) all_4_52 = all_4_55
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (141), (142) imply:
% 260.76/66.46 | (145) all_4_54 = n5
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (143), (144) imply:
% 260.76/66.46 | (146) all_4_55 = n3
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (146) implies:
% 260.76/66.46 | (147) all_4_55 = n3
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (71), (141), (143) imply:
% 260.76/66.46 | (148) sum(n3, n5) = all_4_50
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (10), (143), (145) imply:
% 260.76/66.46 | (149) sum(n3, n5) = all_4_48
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (42), (141), (147) imply:
% 260.76/66.46 | (150) sum(n3, n5) = all_4_49
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (13), (145), (147) imply:
% 260.76/66.46 | (151) sum(n3, n5) = all_4_53
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n8, all_4_49, n5, n3, simplifying with
% 260.76/66.46 | (26), (150) gives:
% 260.76/66.46 | (152) all_4_49 = n8
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_50, all_4_49, n5, n3, simplifying
% 260.76/66.46 | with (148), (150) gives:
% 260.76/66.46 | (153) all_4_49 = all_4_50
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_49, all_4_48, n5, n3, simplifying
% 260.76/66.46 | with (149), (150) gives:
% 260.76/66.46 | (154) all_4_48 = all_4_49
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_53, all_4_48, n5, n3, simplifying
% 260.76/66.46 | with (149), (151) gives:
% 260.76/66.46 | (155) all_4_48 = all_4_53
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (154), (155) imply:
% 260.76/66.46 | (156) all_4_49 = all_4_53
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (156) implies:
% 260.76/66.46 | (157) all_4_49 = all_4_53
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (152), (153) imply:
% 260.76/66.46 | (158) all_4_50 = n8
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (153), (157) imply:
% 260.76/66.46 | (159) all_4_50 = all_4_53
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (158), (159) imply:
% 260.76/66.46 | (160) all_4_53 = n8
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (155), (160) imply:
% 260.76/66.46 | (161) all_4_48 = n8
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (69), (152), (161) imply:
% 260.76/66.46 | (162) sum(n8, n8) = all_4_92
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (72), (158), (160) imply:
% 260.76/66.46 | (163) sum(n8, n8) = all_4_93
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n5, all_4_92, n8, n8, simplifying with
% 260.76/66.46 | (19), (162) gives:
% 260.76/66.46 | (164) all_4_92 = n5
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_93, all_4_92, n8, n8, simplifying
% 260.76/66.46 | with (162), (163) gives:
% 260.76/66.46 | (165) all_4_92 = all_4_93
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (164), (165) imply:
% 260.76/66.46 | (166) all_4_93 = n5
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (166) implies:
% 260.76/66.46 | (167) all_4_93 = n5
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (31), (164) imply:
% 260.76/66.46 | (168) pred(n5) = all_4_44
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (45), (167) imply:
% 260.76/66.46 | (169) pred(n5) = all_4_47
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (5), (164) imply:
% 260.76/66.46 | (170) succ(n5) = all_4_46
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (73), (167) imply:
% 260.76/66.46 | (171) succ(n5) = all_4_43
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with n6, all_4_43, n5, simplifying with (58),
% 260.76/66.46 | (171) gives:
% 260.76/66.46 | (172) all_4_43 = n6
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with all_4_46, all_4_43, n5, simplifying with
% 260.76/66.46 | (170), (171) gives:
% 260.76/66.46 | (173) all_4_43 = all_4_46
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with n4, all_4_44, n5, simplifying with (29),
% 260.76/66.46 | (168) gives:
% 260.76/66.46 | (174) all_4_44 = n4
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with all_4_47, all_4_44, n5, simplifying with
% 260.76/66.46 | (168), (169) gives:
% 260.76/66.46 | (175) all_4_44 = all_4_47
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (172), (173) imply:
% 260.76/66.46 | (176) all_4_46 = n6
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (174), (175) imply:
% 260.76/66.46 | (177) all_4_47 = n4
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (57), (172), (174) imply:
% 260.76/66.46 | (178) sum(n4, n6) = all_4_42
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (8), (174), (176) imply:
% 260.76/66.46 | (179) sum(n4, n6) = all_4_40
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (28), (172), (177) imply:
% 260.76/66.46 | (180) sum(n4, n6) = all_4_41
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (44), (176), (177) imply:
% 260.76/66.46 | (181) sum(n4, n6) = all_4_45
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n10, all_4_41, n6, n4, simplifying with
% 260.76/66.46 | (4), (180) gives:
% 260.76/66.46 | (182) all_4_41 = n10
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_42, all_4_41, n6, n4, simplifying
% 260.76/66.46 | with (178), (180) gives:
% 260.76/66.46 | (183) all_4_41 = all_4_42
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_41, all_4_40, n6, n4, simplifying
% 260.76/66.46 | with (179), (180) gives:
% 260.76/66.46 | (184) all_4_40 = all_4_41
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_45, all_4_40, n6, n4, simplifying
% 260.76/66.46 | with (179), (181) gives:
% 260.76/66.46 | (185) all_4_40 = all_4_45
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (184), (185) imply:
% 260.76/66.46 | (186) all_4_41 = all_4_45
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (186) implies:
% 260.76/66.46 | (187) all_4_41 = all_4_45
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (182), (183) imply:
% 260.76/66.46 | (188) all_4_42 = n10
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (183), (187) imply:
% 260.76/66.46 | (189) all_4_42 = all_4_45
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (188), (189) imply:
% 260.76/66.46 | (190) all_4_45 = n10
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (190) implies:
% 260.76/66.46 | (191) all_4_45 = n10
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (185), (191) imply:
% 260.76/66.46 | (192) all_4_40 = n10
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (49), (182), (192) imply:
% 260.76/66.46 | (193) sum(n10, n10) = all_4_90
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (53), (188), (191) imply:
% 260.76/66.46 | (194) sum(n10, n10) = all_4_91
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n9, all_4_90, n10, n10, simplifying with
% 260.76/66.46 | (27), (193) gives:
% 260.76/66.46 | (195) all_4_90 = n9
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_91, all_4_90, n10, n10, simplifying
% 260.76/66.46 | with (193), (194) gives:
% 260.76/66.46 | (196) all_4_90 = all_4_91
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (195), (196) imply:
% 260.76/66.46 | (197) all_4_91 = n9
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (197) implies:
% 260.76/66.46 | (198) all_4_91 = n9
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (63), (195) imply:
% 260.76/66.46 | (199) pred(n9) = all_4_36
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (30), (198) imply:
% 260.76/66.46 | (200) pred(n9) = all_4_39
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (21), (195) imply:
% 260.76/66.46 | (201) succ(n9) = all_4_38
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (3), (198) imply:
% 260.76/66.46 | (202) succ(n9) = all_4_35
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with n10, all_4_35, n9, simplifying with (9),
% 260.76/66.46 | (202) gives:
% 260.76/66.46 | (203) all_4_35 = n10
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (34) with all_4_38, all_4_35, n9, simplifying with
% 260.76/66.46 | (201), (202) gives:
% 260.76/66.46 | (204) all_4_35 = all_4_38
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with n8, all_4_36, n9, simplifying with (37),
% 260.76/66.46 | (199) gives:
% 260.76/66.46 | (205) all_4_36 = n8
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (70) with all_4_39, all_4_36, n9, simplifying with
% 260.76/66.46 | (199), (200) gives:
% 260.76/66.46 | (206) all_4_36 = all_4_39
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (203), (204) imply:
% 260.76/66.46 | (207) all_4_38 = n10
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (205), (206) imply:
% 260.76/66.46 | (208) all_4_39 = n8
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (43), (203), (205) imply:
% 260.76/66.46 | (209) sum(n8, n10) = all_4_34
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (67), (205), (207) imply:
% 260.76/66.46 | (210) sum(n8, n10) = all_4_32
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (51), (203), (208) imply:
% 260.76/66.46 | (211) sum(n8, n10) = all_4_33
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (54), (207), (208) imply:
% 260.76/66.46 | (212) sum(n8, n10) = all_4_37
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n7, all_4_33, n10, n8, simplifying with
% 260.76/66.46 | (22), (211) gives:
% 260.76/66.46 | (213) all_4_33 = n7
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_34, all_4_33, n10, n8, simplifying
% 260.76/66.46 | with (209), (211) gives:
% 260.76/66.46 | (214) all_4_33 = all_4_34
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_33, all_4_32, n10, n8, simplifying
% 260.76/66.46 | with (210), (211) gives:
% 260.76/66.46 | (215) all_4_32 = all_4_33
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with all_4_37, all_4_32, n10, n8, simplifying
% 260.76/66.46 | with (210), (212) gives:
% 260.76/66.46 | (216) all_4_32 = all_4_37
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (215), (216) imply:
% 260.76/66.46 | (217) all_4_33 = all_4_37
% 260.76/66.46 |
% 260.76/66.46 | SIMP: (217) implies:
% 260.76/66.46 | (218) all_4_33 = all_4_37
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (213), (214) imply:
% 260.76/66.46 | (219) all_4_34 = n7
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (214), (218) imply:
% 260.76/66.46 | (220) all_4_34 = all_4_37
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (219), (220) imply:
% 260.76/66.46 | (221) all_4_37 = n7
% 260.76/66.46 |
% 260.76/66.46 | COMBINE_EQS: (216), (221) imply:
% 260.76/66.46 | (222) all_4_32 = n7
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (25), (213), (222) imply:
% 260.76/66.46 | (223) sum(n7, n7) = all_4_88
% 260.76/66.46 |
% 260.76/66.46 | REDUCE: (18), (219), (221) imply:
% 260.76/66.46 | (224) sum(n7, n7) = all_4_89
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n3, all_4_89, n7, n7, simplifying with
% 260.76/66.46 | (81), (224) gives:
% 260.76/66.46 | (225) all_4_89 = n3
% 260.76/66.46 |
% 260.76/66.46 | GROUND_INST: instantiating (52) with n3, all_4_88, n7, n7, simplifying with
% 260.76/66.46 | (81), (223) gives:
% 260.76/66.46 | (226) all_4_88 = n3
% 260.76/66.46 |
% 260.76/66.46 | REF_CLOSE: (47), (62), (75), (104), (107), (134), (136), (164), (167), (195),
% 260.76/66.46 | (198), (225), (226) are inconsistent by sub-proof #157.
% 260.76/66.46 |
% 260.76/66.46 End of proof
% 260.76/66.46
% 260.76/66.46 Sub-proof #36 shows that the following formulas are inconsistent:
% 260.76/66.46 ----------------------------------------------------------------
% 260.76/66.46 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.76/66.46 (2) succ(all_4_95) = all_4_51
% 260.76/66.46 (3) sum(all_4_25, all_4_24) = all_4_86
% 260.76/66.46 (4) succ(n1) = n2
% 260.76/66.46 (5) succ(all_4_91) = all_4_35
% 260.76/66.46 (6) sum(n4, n6) = n10
% 260.76/66.46 (7) succ(all_4_92) = all_4_46
% 260.76/66.46 (8) succ(all_4_89) = all_4_27
% 260.76/66.46 (9) sum(n2, n2) = n4
% 260.76/66.46 (10) pred(all_4_95) = all_4_55
% 260.76/66.46 (11) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.46 (12) sum(all_4_28, all_4_30) = all_4_24
% 260.76/66.46 (13) succ(n9) = n10
% 260.76/66.46 (14) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.46 (15) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.46 (16) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.46 (17) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.46 (18) sum(n2, n4) = n6
% 260.76/66.46 (19) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.46 (20) sum(all_4_31, all_4_27) = all_4_25
% 260.76/66.46 (21) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.46 (22) succ(all_4_94) = all_4_54
% 260.76/66.46 (23) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.46 (24) sum(n8, n8) = n5
% 260.76/66.46 (25) pred(all_4_99) = all_4_71
% 260.76/66.46 (26) succ(all_4_90) = all_4_38
% 260.76/66.46 (27) pred(all_4_88) = all_4_28
% 260.76/66.46 (28) sum(all_4_31, all_4_30) = all_4_29
% 260.76/66.46 (29) sum(n8, n10) = n7
% 260.76/66.46 (30) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.46 (31) sum(n0, n2) = n2
% 260.76/66.46 (32) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.46 (33) sum(n3, n5) = n8
% 260.76/66.46 (34) sum(n10, n10) = n9
% 260.76/66.46 (35) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.46 (36) pred(n5) = n4
% 260.76/66.46 (37) sum(all_4_29, all_4_26) = all_4_87
% 260.76/66.46 (38) pred(all_4_91) = all_4_39
% 260.76/66.46 (39) pred(all_4_89) = all_4_31
% 260.76/66.46 (40) pred(all_4_92) = all_4_44
% 260.76/66.46 (41) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.46 (42) pred(n4) = n3
% 260.76/66.46 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.46 | ~ (succ(v2) = v0))
% 260.76/66.46 (44) pred(all_4_97) = all_4_63
% 260.76/66.46 (45) succ(all_4_99) = all_4_67
% 260.76/66.46 (46) pred(n9) = n8
% 260.76/66.46 (47) succ(n3) = n4
% 260.76/66.46 (48) pred(all_4_96) = all_4_60
% 260.76/66.46 (49) succ(all_4_96) = all_4_62
% 260.76/66.46 (50) pred(n3) = n2
% 260.76/66.46 (51) succ(all_4_88) = all_4_30
% 260.76/66.46 (52) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.46 (53) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.46 (54) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.46 (55) pred(all_4_93) = all_4_47
% 260.76/66.46 (56) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.46 (57) all_4_98 = n3
% 260.76/66.46 (58) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.46 (59) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.46 (60) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.46 (61) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.46 (62) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.46 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.46 (63) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.46 (64) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.46 (65) sum(n6, n6) = n1
% 260.76/66.46 (66) sum(n7, n7) = all_4_99
% 260.76/66.46 (67) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.46 (68) succ(n5) = n6
% 260.76/66.46 (69) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.46 (70) succ(n4) = n5
% 260.76/66.46 (71) succ(all_4_98) = all_4_70
% 260.76/66.46 (72) all_4_99 = n3
% 260.76/66.46 (73) pred(all_4_90) = all_4_36
% 260.76/66.46 (74) pred(n1) = n0
% 260.76/66.46 (75) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.46 (76) succ(all_4_97) = all_4_59
% 260.76/66.46 (77) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.46 (78) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.46 (79) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.46 (80) ~ (all_4_86 = all_4_87)
% 260.76/66.46 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.46 | ~ (pred(v2) = v0))
% 260.76/66.46 (82) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.46 (83) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.46 (84) succ(all_4_93) = all_4_43
% 260.76/66.46 (85) pred(all_4_98) = all_4_68
% 260.76/66.46 (86) pred(all_4_94) = all_4_52
% 260.76/66.46
% 260.76/66.46 Begin of proof
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (57), (85) imply:
% 260.76/66.47 | (87) pred(n3) = all_4_68
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (25), (72) imply:
% 260.76/66.47 | (88) pred(n3) = all_4_71
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (57), (71) imply:
% 260.76/66.47 | (89) succ(n3) = all_4_70
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (45), (72) imply:
% 260.76/66.47 | (90) succ(n3) = all_4_67
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (66), (72) imply:
% 260.76/66.47 | (91) sum(n7, n7) = n3
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with n4, all_4_67, n3, simplifying with (47),
% 260.76/66.47 | (90) gives:
% 260.76/66.47 | (92) all_4_67 = n4
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with all_4_70, all_4_67, n3, simplifying with
% 260.76/66.47 | (89), (90) gives:
% 260.76/66.47 | (93) all_4_67 = all_4_70
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with n2, all_4_68, n3, simplifying with (50),
% 260.76/66.47 | (87) gives:
% 260.76/66.47 | (94) all_4_68 = n2
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with all_4_71, all_4_68, n3, simplifying with
% 260.76/66.47 | (87), (88) gives:
% 260.76/66.47 | (95) all_4_68 = all_4_71
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (92), (93) imply:
% 260.76/66.47 | (96) all_4_70 = n4
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (94), (95) imply:
% 260.76/66.47 | (97) all_4_71 = n2
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (60), (92), (94) imply:
% 260.76/66.47 | (98) sum(n2, n4) = all_4_66
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (75), (94), (96) imply:
% 260.76/66.47 | (99) sum(n2, n4) = all_4_64
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (56), (92), (97) imply:
% 260.76/66.47 | (100) sum(n2, n4) = all_4_65
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (16), (96), (97) imply:
% 260.76/66.47 | (101) sum(n2, n4) = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n6, all_4_65, n4, n2, simplifying with
% 260.76/66.47 | (18), (100) gives:
% 260.76/66.47 | (102) all_4_65 = n6
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_66, all_4_65, n4, n2, simplifying
% 260.76/66.47 | with (98), (100) gives:
% 260.76/66.47 | (103) all_4_65 = all_4_66
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_66, all_4_64, n4, n2, simplifying
% 260.76/66.47 | with (98), (99) gives:
% 260.76/66.47 | (104) all_4_64 = all_4_66
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_69, all_4_64, n4, n2, simplifying
% 260.76/66.47 | with (99), (101) gives:
% 260.76/66.47 | (105) all_4_64 = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (104), (105) imply:
% 260.76/66.47 | (106) all_4_66 = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (106) implies:
% 260.76/66.47 | (107) all_4_66 = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (102), (103) imply:
% 260.76/66.47 | (108) all_4_66 = n6
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (108) implies:
% 260.76/66.47 | (109) all_4_66 = n6
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (107), (109) imply:
% 260.76/66.47 | (110) all_4_69 = n6
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (105), (110) imply:
% 260.76/66.47 | (111) all_4_64 = n6
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (41), (102), (111) imply:
% 260.76/66.47 | (112) sum(n6, n6) = all_4_96
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (69), (109), (110) imply:
% 260.76/66.47 | (113) sum(n6, n6) = all_4_97
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n1, all_4_96, n6, n6, simplifying with
% 260.76/66.47 | (65), (112) gives:
% 260.76/66.47 | (114) all_4_96 = n1
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_97, all_4_96, n6, n6, simplifying
% 260.76/66.47 | with (112), (113) gives:
% 260.76/66.47 | (115) all_4_96 = all_4_97
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (114), (115) imply:
% 260.76/66.47 | (116) all_4_97 = n1
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (116) implies:
% 260.76/66.47 | (117) all_4_97 = n1
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (48), (114) imply:
% 260.76/66.47 | (118) pred(n1) = all_4_60
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (44), (117) imply:
% 260.76/66.47 | (119) pred(n1) = all_4_63
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (49), (114) imply:
% 260.76/66.47 | (120) succ(n1) = all_4_62
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (76), (117) imply:
% 260.76/66.47 | (121) succ(n1) = all_4_59
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with n2, all_4_59, n1, simplifying with (4),
% 260.76/66.47 | (121) gives:
% 260.76/66.47 | (122) all_4_59 = n2
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with all_4_62, all_4_59, n1, simplifying with
% 260.76/66.47 | (120), (121) gives:
% 260.76/66.47 | (123) all_4_59 = all_4_62
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with n0, all_4_60, n1, simplifying with (74),
% 260.76/66.47 | (118) gives:
% 260.76/66.47 | (124) all_4_60 = n0
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with all_4_63, all_4_60, n1, simplifying with
% 260.76/66.47 | (118), (119) gives:
% 260.76/66.47 | (125) all_4_60 = all_4_63
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (122), (123) imply:
% 260.76/66.47 | (126) all_4_62 = n2
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (124), (125) imply:
% 260.76/66.47 | (127) all_4_63 = n0
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (58), (122), (124) imply:
% 260.76/66.47 | (128) sum(n0, n2) = all_4_58
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (15), (124), (126) imply:
% 260.76/66.47 | (129) sum(n0, n2) = all_4_56
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (19), (122), (127) imply:
% 260.76/66.47 | (130) sum(n0, n2) = all_4_57
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (21), (126), (127) imply:
% 260.76/66.47 | (131) sum(n0, n2) = all_4_61
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n2, all_4_57, n2, n0, simplifying with
% 260.76/66.47 | (31), (130) gives:
% 260.76/66.47 | (132) all_4_57 = n2
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_58, all_4_57, n2, n0, simplifying
% 260.76/66.47 | with (128), (130) gives:
% 260.76/66.47 | (133) all_4_57 = all_4_58
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_57, all_4_56, n2, n0, simplifying
% 260.76/66.47 | with (129), (130) gives:
% 260.76/66.47 | (134) all_4_56 = all_4_57
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_61, all_4_56, n2, n0, simplifying
% 260.76/66.47 | with (129), (131) gives:
% 260.76/66.47 | (135) all_4_56 = all_4_61
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (134), (135) imply:
% 260.76/66.47 | (136) all_4_57 = all_4_61
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (136) implies:
% 260.76/66.47 | (137) all_4_57 = all_4_61
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (132), (133) imply:
% 260.76/66.47 | (138) all_4_58 = n2
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (133), (137) imply:
% 260.76/66.47 | (139) all_4_58 = all_4_61
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (138), (139) imply:
% 260.76/66.47 | (140) all_4_61 = n2
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (135), (140) imply:
% 260.76/66.47 | (141) all_4_56 = n2
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (30), (132), (141) imply:
% 260.76/66.47 | (142) sum(n2, n2) = all_4_94
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (78), (138), (140) imply:
% 260.76/66.47 | (143) sum(n2, n2) = all_4_95
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n4, all_4_94, n2, n2, simplifying with
% 260.76/66.47 | (9), (142) gives:
% 260.76/66.47 | (144) all_4_94 = n4
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_95, all_4_94, n2, n2, simplifying
% 260.76/66.47 | with (142), (143) gives:
% 260.76/66.47 | (145) all_4_94 = all_4_95
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (144), (145) imply:
% 260.76/66.47 | (146) all_4_95 = n4
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (86), (144) imply:
% 260.76/66.47 | (147) pred(n4) = all_4_52
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (10), (146) imply:
% 260.76/66.47 | (148) pred(n4) = all_4_55
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (22), (144) imply:
% 260.76/66.47 | (149) succ(n4) = all_4_54
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (2), (146) imply:
% 260.76/66.47 | (150) succ(n4) = all_4_51
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with n5, all_4_51, n4, simplifying with (70),
% 260.76/66.47 | (150) gives:
% 260.76/66.47 | (151) all_4_51 = n5
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with all_4_54, all_4_51, n4, simplifying with
% 260.76/66.47 | (149), (150) gives:
% 260.76/66.47 | (152) all_4_51 = all_4_54
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with n3, all_4_52, n4, simplifying with (42),
% 260.76/66.47 | (147) gives:
% 260.76/66.47 | (153) all_4_52 = n3
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with all_4_55, all_4_52, n4, simplifying with
% 260.76/66.47 | (147), (148) gives:
% 260.76/66.47 | (154) all_4_52 = all_4_55
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (151), (152) imply:
% 260.76/66.47 | (155) all_4_54 = n5
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (153), (154) imply:
% 260.76/66.47 | (156) all_4_55 = n3
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (156) implies:
% 260.76/66.47 | (157) all_4_55 = n3
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (82), (151), (153) imply:
% 260.76/66.47 | (158) sum(n3, n5) = all_4_50
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (14), (153), (155) imply:
% 260.76/66.47 | (159) sum(n3, n5) = all_4_48
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (52), (151), (157) imply:
% 260.76/66.47 | (160) sum(n3, n5) = all_4_49
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (17), (155), (157) imply:
% 260.76/66.47 | (161) sum(n3, n5) = all_4_53
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n8, all_4_49, n5, n3, simplifying with
% 260.76/66.47 | (33), (160) gives:
% 260.76/66.47 | (162) all_4_49 = n8
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_50, all_4_49, n5, n3, simplifying
% 260.76/66.47 | with (158), (160) gives:
% 260.76/66.47 | (163) all_4_49 = all_4_50
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_49, all_4_48, n5, n3, simplifying
% 260.76/66.47 | with (159), (160) gives:
% 260.76/66.47 | (164) all_4_48 = all_4_49
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_53, all_4_48, n5, n3, simplifying
% 260.76/66.47 | with (159), (161) gives:
% 260.76/66.47 | (165) all_4_48 = all_4_53
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (164), (165) imply:
% 260.76/66.47 | (166) all_4_49 = all_4_53
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (166) implies:
% 260.76/66.47 | (167) all_4_49 = all_4_53
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (162), (163) imply:
% 260.76/66.47 | (168) all_4_50 = n8
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (163), (167) imply:
% 260.76/66.47 | (169) all_4_50 = all_4_53
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (168), (169) imply:
% 260.76/66.47 | (170) all_4_53 = n8
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (165), (170) imply:
% 260.76/66.47 | (171) all_4_48 = n8
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (79), (162), (171) imply:
% 260.76/66.47 | (172) sum(n8, n8) = all_4_92
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (83), (168), (170) imply:
% 260.76/66.47 | (173) sum(n8, n8) = all_4_93
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n5, all_4_92, n8, n8, simplifying with
% 260.76/66.47 | (24), (172) gives:
% 260.76/66.47 | (174) all_4_92 = n5
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_93, all_4_92, n8, n8, simplifying
% 260.76/66.47 | with (172), (173) gives:
% 260.76/66.47 | (175) all_4_92 = all_4_93
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (174), (175) imply:
% 260.76/66.47 | (176) all_4_93 = n5
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (176) implies:
% 260.76/66.47 | (177) all_4_93 = n5
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (40), (174) imply:
% 260.76/66.47 | (178) pred(n5) = all_4_44
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (55), (177) imply:
% 260.76/66.47 | (179) pred(n5) = all_4_47
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (7), (174) imply:
% 260.76/66.47 | (180) succ(n5) = all_4_46
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (84), (177) imply:
% 260.76/66.47 | (181) succ(n5) = all_4_43
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with n6, all_4_43, n5, simplifying with (68),
% 260.76/66.47 | (181) gives:
% 260.76/66.47 | (182) all_4_43 = n6
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with all_4_46, all_4_43, n5, simplifying with
% 260.76/66.47 | (180), (181) gives:
% 260.76/66.47 | (183) all_4_43 = all_4_46
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with n4, all_4_44, n5, simplifying with (36),
% 260.76/66.47 | (178) gives:
% 260.76/66.47 | (184) all_4_44 = n4
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with all_4_47, all_4_44, n5, simplifying with
% 260.76/66.47 | (178), (179) gives:
% 260.76/66.47 | (185) all_4_44 = all_4_47
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (182), (183) imply:
% 260.76/66.47 | (186) all_4_46 = n6
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (184), (185) imply:
% 260.76/66.47 | (187) all_4_47 = n4
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (67), (182), (184) imply:
% 260.76/66.47 | (188) sum(n4, n6) = all_4_42
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (11), (184), (186) imply:
% 260.76/66.47 | (189) sum(n4, n6) = all_4_40
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (35), (182), (187) imply:
% 260.76/66.47 | (190) sum(n4, n6) = all_4_41
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (54), (186), (187) imply:
% 260.76/66.47 | (191) sum(n4, n6) = all_4_45
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n10, all_4_41, n6, n4, simplifying with
% 260.76/66.47 | (6), (190) gives:
% 260.76/66.47 | (192) all_4_41 = n10
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_42, all_4_41, n6, n4, simplifying
% 260.76/66.47 | with (188), (190) gives:
% 260.76/66.47 | (193) all_4_41 = all_4_42
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_41, all_4_40, n6, n4, simplifying
% 260.76/66.47 | with (189), (190) gives:
% 260.76/66.47 | (194) all_4_40 = all_4_41
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_45, all_4_40, n6, n4, simplifying
% 260.76/66.47 | with (189), (191) gives:
% 260.76/66.47 | (195) all_4_40 = all_4_45
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (194), (195) imply:
% 260.76/66.47 | (196) all_4_41 = all_4_45
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (196) implies:
% 260.76/66.47 | (197) all_4_41 = all_4_45
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (192), (193) imply:
% 260.76/66.47 | (198) all_4_42 = n10
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (193), (197) imply:
% 260.76/66.47 | (199) all_4_42 = all_4_45
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (198), (199) imply:
% 260.76/66.47 | (200) all_4_45 = n10
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (200) implies:
% 260.76/66.47 | (201) all_4_45 = n10
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (195), (201) imply:
% 260.76/66.47 | (202) all_4_40 = n10
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (59), (192), (202) imply:
% 260.76/66.47 | (203) sum(n10, n10) = all_4_90
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (63), (198), (201) imply:
% 260.76/66.47 | (204) sum(n10, n10) = all_4_91
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n9, all_4_90, n10, n10, simplifying with
% 260.76/66.47 | (34), (203) gives:
% 260.76/66.47 | (205) all_4_90 = n9
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_91, all_4_90, n10, n10, simplifying
% 260.76/66.47 | with (203), (204) gives:
% 260.76/66.47 | (206) all_4_90 = all_4_91
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (205), (206) imply:
% 260.76/66.47 | (207) all_4_91 = n9
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (207) implies:
% 260.76/66.47 | (208) all_4_91 = n9
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (73), (205) imply:
% 260.76/66.47 | (209) pred(n9) = all_4_36
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (38), (208) imply:
% 260.76/66.47 | (210) pred(n9) = all_4_39
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (26), (205) imply:
% 260.76/66.47 | (211) succ(n9) = all_4_38
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (5), (208) imply:
% 260.76/66.47 | (212) succ(n9) = all_4_35
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with n10, all_4_35, n9, simplifying with (13),
% 260.76/66.47 | (212) gives:
% 260.76/66.47 | (213) all_4_35 = n10
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with all_4_38, all_4_35, n9, simplifying with
% 260.76/66.47 | (211), (212) gives:
% 260.76/66.47 | (214) all_4_35 = all_4_38
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with n8, all_4_36, n9, simplifying with (46),
% 260.76/66.47 | (209) gives:
% 260.76/66.47 | (215) all_4_36 = n8
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (81) with all_4_39, all_4_36, n9, simplifying with
% 260.76/66.47 | (209), (210) gives:
% 260.76/66.47 | (216) all_4_36 = all_4_39
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (213), (214) imply:
% 260.76/66.47 | (217) all_4_38 = n10
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (215), (216) imply:
% 260.76/66.47 | (218) all_4_39 = n8
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (53), (213), (215) imply:
% 260.76/66.47 | (219) sum(n8, n10) = all_4_34
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (77), (215), (217) imply:
% 260.76/66.47 | (220) sum(n8, n10) = all_4_32
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (61), (213), (218) imply:
% 260.76/66.47 | (221) sum(n8, n10) = all_4_33
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (64), (217), (218) imply:
% 260.76/66.47 | (222) sum(n8, n10) = all_4_37
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n7, all_4_33, n10, n8, simplifying with
% 260.76/66.47 | (29), (221) gives:
% 260.76/66.47 | (223) all_4_33 = n7
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_34, all_4_33, n10, n8, simplifying
% 260.76/66.47 | with (219), (221) gives:
% 260.76/66.47 | (224) all_4_33 = all_4_34
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_33, all_4_32, n10, n8, simplifying
% 260.76/66.47 | with (220), (221) gives:
% 260.76/66.47 | (225) all_4_32 = all_4_33
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_37, all_4_32, n10, n8, simplifying
% 260.76/66.47 | with (220), (222) gives:
% 260.76/66.47 | (226) all_4_32 = all_4_37
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (225), (226) imply:
% 260.76/66.47 | (227) all_4_33 = all_4_37
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (227) implies:
% 260.76/66.47 | (228) all_4_33 = all_4_37
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (223), (224) imply:
% 260.76/66.47 | (229) all_4_34 = n7
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (224), (228) imply:
% 260.76/66.47 | (230) all_4_34 = all_4_37
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (229), (230) imply:
% 260.76/66.47 | (231) all_4_37 = n7
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (226), (231) imply:
% 260.76/66.47 | (232) all_4_32 = n7
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (32), (223), (232) imply:
% 260.76/66.47 | (233) sum(n7, n7) = all_4_88
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (23), (229), (231) imply:
% 260.76/66.47 | (234) sum(n7, n7) = all_4_89
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with n3, all_4_88, n7, n7, simplifying with
% 260.76/66.47 | (91), (233) gives:
% 260.76/66.47 | (235) all_4_88 = n3
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (62) with all_4_89, all_4_88, n7, n7, simplifying
% 260.76/66.47 | with (233), (234) gives:
% 260.76/66.47 | (236) all_4_88 = all_4_89
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (235), (236) imply:
% 260.76/66.47 | (237) all_4_89 = n3
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (27), (235) imply:
% 260.76/66.47 | (238) pred(n3) = all_4_28
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (39), (237) imply:
% 260.76/66.47 | (239) pred(n3) = all_4_31
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (51), (235) imply:
% 260.76/66.47 | (240) succ(n3) = all_4_30
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (8), (237) imply:
% 260.76/66.47 | (241) succ(n3) = all_4_27
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (43) with n4, all_4_27, n3, simplifying with (47),
% 260.76/66.47 | (241) gives:
% 260.76/66.47 | (242) all_4_27 = n4
% 260.76/66.47 |
% 260.76/66.47 | REF_CLOSE: (1), (3), (12), (18), (20), (28), (37), (43), (50), (62), (65),
% 260.76/66.47 | (80), (81), (238), (239), (240), (241), (242) are inconsistent by
% 260.76/66.47 | sub-proof #162.
% 260.76/66.47 |
% 260.76/66.47 End of proof
% 260.76/66.47
% 260.76/66.47 Sub-proof #37 shows that the following formulas are inconsistent:
% 260.76/66.47 ----------------------------------------------------------------
% 260.76/66.47 (1) all_4_99 = n0
% 260.76/66.47 (2) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.47 (3) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.47 (4) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.47 (5) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.47 (6) sum(n10, n1) = n0
% 260.76/66.47 (7) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.76/66.47 all_4_99)
% 260.76/66.47 (8) pred(all_4_99) = all_4_71
% 260.76/66.47 (9) all_4_98 = n0
% 260.76/66.47 (10) succ(n0) = n1
% 260.76/66.47 (11) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.47 (12) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.47 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.47 | ~ (succ(v2) = v0))
% 260.76/66.47 (14) pred(all_4_97) = all_4_63
% 260.76/66.47 (15) succ(all_4_99) = all_4_67
% 260.76/66.47 (16) pred(all_4_96) = all_4_60
% 260.76/66.47 (17) succ(all_4_96) = all_4_62
% 260.76/66.47 (18) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.47 (19) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.47 (20) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.47 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.47 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.47 (22) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.47 (23) sum(n0, n0) = all_4_99
% 260.76/66.47 (24) succ(all_4_98) = all_4_70
% 260.76/66.47 (25) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.47 (26) succ(all_4_97) = all_4_59
% 260.76/66.47 (27) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.47 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.47 | ~ (pred(v2) = v0))
% 260.76/66.47 (29) pred(all_4_98) = all_4_68
% 260.76/66.47 (30) pred(n0) = n10
% 260.76/66.47
% 260.76/66.47 Begin of proof
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (9), (29) imply:
% 260.76/66.47 | (31) pred(n0) = all_4_68
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (1), (8) imply:
% 260.76/66.47 | (32) pred(n0) = all_4_71
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (9), (24) imply:
% 260.76/66.47 | (33) succ(n0) = all_4_70
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (1), (15) imply:
% 260.76/66.47 | (34) succ(n0) = all_4_67
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (1), (23) imply:
% 260.76/66.47 | (35) sum(n0, n0) = n0
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (13) with n1, all_4_67, n0, simplifying with (10),
% 260.76/66.47 | (34) gives:
% 260.76/66.47 | (36) all_4_67 = n1
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (13) with all_4_70, all_4_67, n0, simplifying with
% 260.76/66.47 | (33), (34) gives:
% 260.76/66.47 | (37) all_4_67 = all_4_70
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (28) with n10, all_4_68, n0, simplifying with (30),
% 260.76/66.47 | (31) gives:
% 260.76/66.47 | (38) all_4_68 = n10
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (28) with all_4_71, all_4_68, n0, simplifying with
% 260.76/66.47 | (31), (32) gives:
% 260.76/66.47 | (39) all_4_68 = all_4_71
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (36), (37) imply:
% 260.76/66.47 | (40) all_4_70 = n1
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (40) implies:
% 260.76/66.47 | (41) all_4_70 = n1
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (38), (39) imply:
% 260.76/66.47 | (42) all_4_71 = n10
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (20), (36), (38) imply:
% 260.76/66.47 | (43) sum(n10, n1) = all_4_66
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (25), (38), (41) imply:
% 260.76/66.47 | (44) sum(n10, n1) = all_4_64
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (18), (36), (42) imply:
% 260.76/66.47 | (45) sum(n10, n1) = all_4_65
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (3), (41), (42) imply:
% 260.76/66.47 | (46) sum(n10, n1) = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (21) with n0, all_4_65, n1, n10, simplifying with
% 260.76/66.47 | (6), (45) gives:
% 260.76/66.47 | (47) all_4_65 = n0
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (21) with all_4_66, all_4_65, n1, n10, simplifying
% 260.76/66.47 | with (43), (45) gives:
% 260.76/66.47 | (48) all_4_65 = all_4_66
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (21) with all_4_66, all_4_64, n1, n10, simplifying
% 260.76/66.47 | with (43), (44) gives:
% 260.76/66.47 | (49) all_4_64 = all_4_66
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (21) with all_4_69, all_4_64, n1, n10, simplifying
% 260.76/66.47 | with (44), (46) gives:
% 260.76/66.47 | (50) all_4_64 = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (49), (50) imply:
% 260.76/66.47 | (51) all_4_66 = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (51) implies:
% 260.76/66.47 | (52) all_4_66 = all_4_69
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (47), (48) imply:
% 260.76/66.47 | (53) all_4_66 = n0
% 260.76/66.47 |
% 260.76/66.47 | SIMP: (53) implies:
% 260.76/66.47 | (54) all_4_66 = n0
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (52), (54) imply:
% 260.76/66.47 | (55) all_4_69 = n0
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (50), (55) imply:
% 260.76/66.47 | (56) all_4_64 = n0
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (12), (47), (56) imply:
% 260.76/66.47 | (57) sum(n0, n0) = all_4_96
% 260.76/66.47 |
% 260.76/66.47 | REDUCE: (22), (54), (55) imply:
% 260.76/66.47 | (58) sum(n0, n0) = all_4_97
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (21) with n0, all_4_96, n0, n0, simplifying with
% 260.76/66.47 | (35), (57) gives:
% 260.76/66.47 | (59) all_4_96 = n0
% 260.76/66.47 |
% 260.76/66.47 | GROUND_INST: instantiating (21) with all_4_97, all_4_96, n0, n0, simplifying
% 260.76/66.47 | with (57), (58) gives:
% 260.76/66.47 | (60) all_4_96 = all_4_97
% 260.76/66.47 |
% 260.76/66.47 | COMBINE_EQS: (59), (60) imply:
% 260.76/66.47 | (61) all_4_97 = n0
% 260.76/66.47 |
% 260.76/66.47 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 260.76/66.47 | (14), (16), (17), (18), (19), (20), (21), (22), (25), (26), (27),
% 260.76/66.47 | (28), (30), (31), (32), (33), (34), (58), (59), (61) are
% 260.76/66.47 | inconsistent by sub-proof #48.
% 260.76/66.47 |
% 260.76/66.47 End of proof
% 260.76/66.47
% 260.76/66.47 Sub-proof #38 shows that the following formulas are inconsistent:
% 260.76/66.47 ----------------------------------------------------------------
% 260.76/66.47 (1) succ(all_4_95) = all_4_51
% 260.76/66.47 (2) all_4_99 = n0
% 260.76/66.47 (3) pred(all_4_95) = all_4_55
% 260.76/66.47 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.47 (5) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.47 (6) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.47 (7) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.47 (8) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.47 (9) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.47 (10) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.76/66.47 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.76/66.47 (11) succ(all_4_94) = all_4_54
% 260.76/66.47 (12) sum(n10, n1) = n0
% 260.76/66.47 (13) pred(all_4_99) = all_4_71
% 260.76/66.47 (14) all_4_98 = n0
% 260.76/66.47 (15) succ(n0) = n1
% 260.76/66.47 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.47 (17) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.47 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.47 | ~ (succ(v2) = v0))
% 260.76/66.47 (19) pred(all_4_97) = all_4_63
% 260.76/66.47 (20) succ(all_4_99) = all_4_67
% 260.76/66.47 (21) pred(all_4_96) = all_4_60
% 260.76/66.47 (22) succ(all_4_96) = all_4_62
% 260.76/66.47 (23) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.47 (24) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.47 (25) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.47 (26) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.47 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.47 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.47 (28) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.47 (29) sum(n0, n0) = all_4_99
% 260.76/66.47 (30) succ(all_4_98) = all_4_70
% 260.76/66.47 (31) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.47 (32) succ(all_4_97) = all_4_59
% 260.76/66.47 (33) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.47 (34) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.47 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.47 | ~ (pred(v2) = v0))
% 260.76/66.48 (36) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.48 (37) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.48 (38) pred(all_4_98) = all_4_68
% 260.76/66.48 (39) pred(n0) = n10
% 260.76/66.48 (40) pred(all_4_94) = all_4_52
% 260.76/66.48
% 260.76/66.48 Begin of proof
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (14), (38) imply:
% 260.76/66.48 | (41) pred(n0) = all_4_68
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (2), (13) imply:
% 260.76/66.48 | (42) pred(n0) = all_4_71
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (14), (30) imply:
% 260.76/66.48 | (43) succ(n0) = all_4_70
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (2), (20) imply:
% 260.76/66.48 | (44) succ(n0) = all_4_67
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (2), (29) imply:
% 260.76/66.48 | (45) sum(n0, n0) = n0
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (18) with n1, all_4_67, n0, simplifying with (15),
% 260.76/66.48 | (44) gives:
% 260.76/66.48 | (46) all_4_67 = n1
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (18) with all_4_70, all_4_67, n0, simplifying with
% 260.76/66.48 | (43), (44) gives:
% 260.76/66.48 | (47) all_4_67 = all_4_70
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (35) with n10, all_4_68, n0, simplifying with (39),
% 260.76/66.48 | (41) gives:
% 260.76/66.48 | (48) all_4_68 = n10
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (35) with all_4_71, all_4_68, n0, simplifying with
% 260.76/66.48 | (41), (42) gives:
% 260.76/66.48 | (49) all_4_68 = all_4_71
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (46), (47) imply:
% 260.76/66.48 | (50) all_4_70 = n1
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (48), (49) imply:
% 260.76/66.48 | (51) all_4_71 = n10
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (26), (46), (48) imply:
% 260.76/66.48 | (52) sum(n10, n1) = all_4_66
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (31), (48), (50) imply:
% 260.76/66.48 | (53) sum(n10, n1) = all_4_64
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (24), (46), (51) imply:
% 260.76/66.48 | (54) sum(n10, n1) = all_4_65
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (6), (50), (51) imply:
% 260.76/66.48 | (55) sum(n10, n1) = all_4_69
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with n0, all_4_65, n1, n10, simplifying with
% 260.76/66.48 | (12), (54) gives:
% 260.76/66.48 | (56) all_4_65 = n0
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_66, all_4_65, n1, n10, simplifying
% 260.76/66.48 | with (52), (54) gives:
% 260.76/66.48 | (57) all_4_65 = all_4_66
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_66, all_4_64, n1, n10, simplifying
% 260.76/66.48 | with (52), (53) gives:
% 260.76/66.48 | (58) all_4_64 = all_4_66
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_69, all_4_64, n1, n10, simplifying
% 260.76/66.48 | with (53), (55) gives:
% 260.76/66.48 | (59) all_4_64 = all_4_69
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (58), (59) imply:
% 260.76/66.48 | (60) all_4_66 = all_4_69
% 260.76/66.48 |
% 260.76/66.48 | SIMP: (60) implies:
% 260.76/66.48 | (61) all_4_66 = all_4_69
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (56), (57) imply:
% 260.76/66.48 | (62) all_4_66 = n0
% 260.76/66.48 |
% 260.76/66.48 | SIMP: (62) implies:
% 260.76/66.48 | (63) all_4_66 = n0
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (61), (63) imply:
% 260.76/66.48 | (64) all_4_69 = n0
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (59), (64) imply:
% 260.76/66.48 | (65) all_4_64 = n0
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (17), (56), (65) imply:
% 260.76/66.48 | (66) sum(n0, n0) = all_4_96
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (28), (63), (64) imply:
% 260.76/66.48 | (67) sum(n0, n0) = all_4_97
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with n0, all_4_96, n0, n0, simplifying with
% 260.76/66.48 | (45), (66) gives:
% 260.76/66.48 | (68) all_4_96 = n0
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_97, all_4_96, n0, n0, simplifying
% 260.76/66.48 | with (66), (67) gives:
% 260.76/66.48 | (69) all_4_96 = all_4_97
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (68), (69) imply:
% 260.76/66.48 | (70) all_4_97 = n0
% 260.76/66.48 |
% 260.76/66.48 | SIMP: (70) implies:
% 260.76/66.48 | (71) all_4_97 = n0
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (21), (68) imply:
% 260.76/66.48 | (72) pred(n0) = all_4_60
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (19), (71) imply:
% 260.76/66.48 | (73) pred(n0) = all_4_63
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (22), (68) imply:
% 260.76/66.48 | (74) succ(n0) = all_4_62
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (32), (71) imply:
% 260.76/66.48 | (75) succ(n0) = all_4_59
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (18) with n1, all_4_59, n0, simplifying with (15),
% 260.76/66.48 | (75) gives:
% 260.76/66.48 | (76) all_4_59 = n1
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (18) with all_4_62, all_4_59, n0, simplifying with
% 260.76/66.48 | (74), (75) gives:
% 260.76/66.48 | (77) all_4_59 = all_4_62
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (35) with n10, all_4_60, n0, simplifying with (39),
% 260.76/66.48 | (72) gives:
% 260.76/66.48 | (78) all_4_60 = n10
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (35) with all_4_63, all_4_60, n0, simplifying with
% 260.76/66.48 | (72), (73) gives:
% 260.76/66.48 | (79) all_4_60 = all_4_63
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (76), (77) imply:
% 260.76/66.48 | (80) all_4_62 = n1
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (78), (79) imply:
% 260.76/66.48 | (81) all_4_63 = n10
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (25), (76), (78) imply:
% 260.76/66.48 | (82) sum(n10, n1) = all_4_58
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (5), (78), (80) imply:
% 260.76/66.48 | (83) sum(n10, n1) = all_4_56
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (8), (76), (81) imply:
% 260.76/66.48 | (84) sum(n10, n1) = all_4_57
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (9), (80), (81) imply:
% 260.76/66.48 | (85) sum(n10, n1) = all_4_61
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with n0, all_4_57, n1, n10, simplifying with
% 260.76/66.48 | (12), (84) gives:
% 260.76/66.48 | (86) all_4_57 = n0
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_58, all_4_57, n1, n10, simplifying
% 260.76/66.48 | with (82), (84) gives:
% 260.76/66.48 | (87) all_4_57 = all_4_58
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_57, all_4_56, n1, n10, simplifying
% 260.76/66.48 | with (83), (84) gives:
% 260.76/66.48 | (88) all_4_56 = all_4_57
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (27) with all_4_61, all_4_56, n1, n10, simplifying
% 260.76/66.48 | with (83), (85) gives:
% 260.76/66.48 | (89) all_4_56 = all_4_61
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (88), (89) imply:
% 260.76/66.48 | (90) all_4_57 = all_4_61
% 260.76/66.48 |
% 260.76/66.48 | SIMP: (90) implies:
% 260.76/66.48 | (91) all_4_57 = all_4_61
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (86), (87) imply:
% 260.76/66.48 | (92) all_4_58 = n0
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (87), (91) imply:
% 260.76/66.48 | (93) all_4_58 = all_4_61
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (92), (93) imply:
% 260.76/66.48 | (94) all_4_61 = n0
% 260.76/66.48 |
% 260.76/66.48 | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (11), (14), (15), (16), (17),
% 260.76/66.48 | (18), (23), (24), (26), (27), (28), (31), (33), (34), (35), (36),
% 260.76/66.48 | (37), (39), (40), (41), (42), (43), (44), (45), (85), (86), (89),
% 260.76/66.48 | (92), (94) are inconsistent by sub-proof #39.
% 260.76/66.48 |
% 260.76/66.48 End of proof
% 260.76/66.48
% 260.76/66.48 Sub-proof #39 shows that the following formulas are inconsistent:
% 260.76/66.48 ----------------------------------------------------------------
% 260.76/66.48 (1) succ(all_4_95) = all_4_51
% 260.76/66.48 (2) all_4_99 = n0
% 260.76/66.48 (3) pred(all_4_95) = all_4_55
% 260.76/66.48 (4) all_4_57 = n0
% 260.76/66.48 (5) succ(n0) = all_4_70
% 260.76/66.48 (6) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.48 (7) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.48 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.48 (9) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.76/66.48 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.76/66.48 (10) succ(all_4_94) = all_4_54
% 260.76/66.48 (11) succ(n0) = all_4_67
% 260.76/66.48 (12) all_4_98 = n0
% 260.76/66.48 (13) succ(n0) = n1
% 260.76/66.48 (14) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.48 (15) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.48 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.48 | ~ (succ(v2) = v0))
% 260.76/66.48 (17) sum(n10, n1) = all_4_61
% 260.76/66.48 (18) sum(n0, n0) = n0
% 260.76/66.48 (19) pred(n0) = all_4_71
% 260.76/66.48 (20) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.48 (21) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.48 (22) all_4_61 = n0
% 260.76/66.48 (23) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.48 (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.48 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.48 (25) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.48 (26) all_4_56 = all_4_61
% 260.76/66.48 (27) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.48 (28) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.48 (29) pred(n0) = all_4_68
% 260.76/66.48 (30) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.48 (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.48 | ~ (pred(v2) = v0))
% 260.76/66.48 (32) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.48 (33) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.48 (34) all_4_58 = n0
% 260.76/66.48 (35) pred(n0) = n10
% 260.76/66.48 (36) pred(all_4_94) = all_4_52
% 260.76/66.48
% 260.76/66.48 Begin of proof
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (22), (26) imply:
% 260.76/66.48 | (37) all_4_56 = n0
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (4), (14), (37) imply:
% 260.76/66.48 | (38) sum(n0, n0) = all_4_94
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (22), (28), (34) imply:
% 260.76/66.48 | (39) sum(n0, n0) = all_4_95
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (17), (22) imply:
% 260.76/66.48 | (40) sum(n10, n1) = n0
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (24) with n0, all_4_94, n0, n0, simplifying with
% 260.76/66.48 | (18), (38) gives:
% 260.76/66.48 | (41) all_4_94 = n0
% 260.76/66.48 |
% 260.76/66.48 | GROUND_INST: instantiating (24) with all_4_95, all_4_94, n0, n0, simplifying
% 260.76/66.48 | with (38), (39) gives:
% 260.76/66.48 | (42) all_4_94 = all_4_95
% 260.76/66.48 |
% 260.76/66.48 | COMBINE_EQS: (41), (42) imply:
% 260.76/66.48 | (43) all_4_95 = n0
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (36), (41) imply:
% 260.76/66.48 | (44) pred(n0) = all_4_52
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (3), (43) imply:
% 260.76/66.48 | (45) pred(n0) = all_4_55
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (10), (41) imply:
% 260.76/66.48 | (46) succ(n0) = all_4_54
% 260.76/66.48 |
% 260.76/66.48 | REDUCE: (1), (43) imply:
% 260.76/66.48 | (47) succ(n0) = all_4_51
% 260.76/66.48 |
% 260.76/66.48 | REF_CLOSE: (2), (5), (6), (7), (8), (9), (11), (12), (13), (15), (16), (18),
% 260.76/66.48 | (19), (20), (21), (23), (24), (25), (27), (29), (30), (31), (32),
% 260.76/66.48 | (33), (35), (40), (41), (43), (44), (45), (46), (47) are
% 260.76/66.48 | inconsistent by sub-proof #40.
% 260.76/66.48 |
% 260.76/66.48 End of proof
% 260.76/66.48
% 260.76/66.48 Sub-proof #40 shows that the following formulas are inconsistent:
% 260.76/66.48 ----------------------------------------------------------------
% 260.76/66.48 (1) pred(n0) = all_4_55
% 260.76/66.48 (2) all_4_99 = n0
% 260.76/66.48 (3) succ(n0) = all_4_70
% 260.76/66.48 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.48 (5) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.48 (6) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.48 (7) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.76/66.48 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.76/66.48 (8) succ(n0) = all_4_67
% 260.76/66.48 (9) sum(n10, n1) = n0
% 260.76/66.48 (10) all_4_98 = n0
% 260.76/66.48 (11) succ(n0) = n1
% 260.76/66.48 (12) succ(n0) = all_4_51
% 260.76/66.48 (13) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.48 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.48 | ~ (succ(v2) = v0))
% 260.76/66.48 (15) all_4_95 = n0
% 260.76/66.48 (16) sum(n0, n0) = n0
% 260.76/66.48 (17) pred(n0) = all_4_71
% 260.76/66.48 (18) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.48 (19) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.48 (20) all_4_94 = n0
% 260.76/66.48 (21) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.48 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.48 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.48 (23) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.48 (24) succ(n0) = all_4_54
% 260.76/66.48 (25) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.48 (26) pred(n0) = all_4_52
% 260.76/66.48 (27) pred(n0) = all_4_68
% 260.76/66.48 (28) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.48 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.48 | ~ (pred(v2) = v0))
% 260.76/66.48 (30) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.48 (31) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.48 (32) pred(n0) = n10
% 260.76/66.48
% 260.76/66.48 Begin of proof
% 260.76/66.48 |
% 260.76/66.48 | BETA: splitting (7) gives:
% 260.76/66.48 |
% 260.76/66.48 | Case 1:
% 260.76/66.48 | |
% 260.76/66.48 | | (33) ~ (all_4_92 = all_4_93)
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (14) with n1, all_4_51, n0, simplifying with
% 260.76/66.48 | | (11), (12) gives:
% 260.76/66.48 | | (34) all_4_51 = n1
% 260.76/66.48 | |
% 260.76/66.48 | | REF_CLOSE: (1), (4), (6), (9), (12), (14), (16), (18), (22), (24), (26),
% 260.76/66.48 | | (28), (29), (30), (31), (32), (33), (34) are inconsistent by
% 260.76/66.48 | | sub-proof #109.
% 260.76/66.48 | |
% 260.76/66.48 | Case 2:
% 260.76/66.48 | |
% 260.76/66.48 | | (35) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.76/66.48 | | all_4_99)
% 260.76/66.48 | |
% 260.76/66.48 | | REF_CLOSE: (2), (3), (5), (8), (9), (10), (11), (13), (14), (15), (16),
% 260.76/66.48 | | (17), (19), (20), (21), (22), (23), (25), (27), (29), (32), (35)
% 260.76/66.48 | | are inconsistent by sub-proof #49.
% 260.76/66.48 | |
% 260.76/66.48 | End of split
% 260.76/66.48 |
% 260.76/66.48 End of proof
% 260.76/66.48
% 260.76/66.48 Sub-proof #41 shows that the following formulas are inconsistent:
% 260.76/66.48 ----------------------------------------------------------------
% 260.76/66.48 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.76/66.48 (2) succ(all_4_95) = all_4_51
% 260.76/66.48 (3) sum(all_4_25, all_4_24) = all_4_86
% 260.76/66.48 (4) succ(n1) = n2
% 260.76/66.48 (5) succ(all_4_91) = all_4_35
% 260.76/66.48 (6) sum(n4, n6) = n10
% 260.76/66.48 (7) succ(all_4_92) = all_4_46
% 260.76/66.48 (8) succ(all_4_89) = all_4_27
% 260.76/66.48 (9) sum(n7, n1) = n8
% 260.76/66.48 (10) sum(n2, n2) = n4
% 260.76/66.48 (11) pred(all_4_95) = all_4_55
% 260.76/66.48 (12) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.48 (13) sum(all_4_28, all_4_30) = all_4_24
% 260.76/66.48 (14) succ(n9) = n10
% 260.76/66.48 (15) sum(n9, n0) = n9
% 260.76/66.48 (16) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.48 (17) sum(n3, n3) = n6
% 260.76/66.48 (18) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.48 (19) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.48 (20) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.48 (21) sum(n2, n4) = n6
% 260.76/66.48 (22) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.48 (23) pred(all_4_101) = all_4_79
% 260.76/66.48 (24) sum(all_4_31, all_4_27) = all_4_25
% 260.76/66.48 (25) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.48 (26) succ(all_4_94) = all_4_54
% 260.76/66.48 (27) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.48 (28) sum(n10, n1) = n0
% 260.76/66.48 (29) sum(n8, n8) = n5
% 260.76/66.48 (30) pred(n8) = n7
% 260.76/66.48 (31) pred(all_4_99) = all_4_71
% 260.76/66.48 (32) succ(all_4_90) = all_4_38
% 260.76/66.48 (33) sum(n6, n8) = n3
% 260.76/66.48 (34) pred(all_4_88) = all_4_28
% 260.76/66.48 (35) succ(n0) = n1
% 260.76/66.48 (36) sum(all_4_31, all_4_30) = all_4_29
% 260.76/66.48 (37) sum(n8, n10) = n7
% 260.76/66.48 (38) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.48 (39) sum(n0, n2) = n2
% 260.76/66.48 (40) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.48 (41) sum(n3, n5) = n8
% 260.76/66.48 (42) sum(n10, n10) = n9
% 260.76/66.48 (43) sum(all_4_79, n9) = all_4_77
% 260.76/66.48 (44) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.48 (45) pred(n5) = n4
% 260.76/66.48 (46) sum(all_4_29, all_4_26) = all_4_87
% 260.76/66.48 (47) pred(all_4_91) = all_4_39
% 260.76/66.48 (48) pred(all_4_89) = all_4_31
% 260.76/66.48 (49) pred(all_4_92) = all_4_44
% 260.76/66.48 (50) sum(n5, n7) = n1
% 260.76/66.48 (51) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.48 (52) succ(n10) = n0
% 260.76/66.48 (53) sum(n0, n9) = n9
% 260.76/66.48 (54) pred(n4) = n3
% 260.76/66.48 (55) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.48 | ~ (succ(v2) = v0))
% 260.76/66.48 (56) pred(all_4_97) = all_4_63
% 260.76/66.48 (57) succ(all_4_99) = all_4_67
% 260.76/66.48 (58) pred(n9) = n8
% 260.76/66.48 (59) succ(n3) = n4
% 260.76/66.48 (60) pred(n6) = n5
% 260.76/66.48 (61) pred(all_4_96) = all_4_60
% 260.76/66.48 (62) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 260.76/66.48 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 260.76/66.48 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.76/66.48 (63) succ(all_4_96) = all_4_62
% 260.76/66.48 (64) pred(n3) = n2
% 260.76/66.48 (65) succ(all_4_88) = all_4_30
% 260.76/66.48 (66) all_4_101 = n1 | all_4_101 = n0
% 260.76/66.48 (67) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.48 (68) pred(n7) = n6
% 260.76/66.48 (69) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.48 (70) succ(n7) = n8
% 260.76/66.48 (71) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.48 (72) pred(all_4_93) = all_4_47
% 260.76/66.48 (73) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.48 (74) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.48 (75) sum(n5, n5) = n10
% 260.76/66.48 (76) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.48 (77) succ(n2) = n3
% 260.76/66.48 (78) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.48 (79) succ(n6) = n7
% 260.76/66.48 (80) succ(n8) = n9
% 260.76/66.48 (81) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.48 (82) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.48 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.48 (83) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.48 (84) sum(n9, n9) = n7
% 260.76/66.48 (85) sum(all_4_73, n5) = all_4_98
% 260.76/66.48 (86) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.48 (87) sum(n7, all_4_75) = all_4_74
% 260.76/66.48 (88) sum(n6, n6) = n1
% 260.76/66.48 (89) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.48 (90) succ(n5) = n6
% 260.76/66.48 (91) pred(n10) = n9
% 260.76/66.48 (92) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.48 (93) sum(n7, n9) = n5
% 260.76/66.48 (94) succ(n4) = n5
% 260.76/66.48 (95) sum(n7, n2) = n9
% 260.76/66.48 (96) sum(all_4_79, all_4_75) = all_4_73
% 260.76/66.48 (97) pred(n2) = n1
% 260.76/66.48 (98) succ(all_4_98) = all_4_70
% 260.76/66.48 (99) pred(all_4_90) = all_4_36
% 260.76/66.48 (100) sum(n4, n4) = n8
% 260.76/66.48 (101) pred(n1) = n0
% 260.76/66.48 (102) succ(all_4_101) = all_4_75
% 260.76/66.48 (103) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.48 (104) succ(all_4_97) = all_4_59
% 260.76/66.48 (105) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.48 (106) sum(all_4_77, all_4_74) = all_4_99
% 260.76/66.48 (107) sum(n0, n5) = n5
% 260.76/66.48 (108) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.48 (109) sum(n7, n7) = n3
% 260.76/66.48 (110) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.48 (111) sum(n1, n3) = n4
% 260.76/66.48 (112) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.48 | ~ (pred(v2) = v0))
% 260.76/66.48 (113) sum(n2, n5) = n7
% 260.76/66.48 (114) sum(n1, n1) = n2
% 260.76/66.48 (115) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.48 (116) sum(n10, n9) = n8
% 260.76/66.48 (117) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.48 (118) succ(all_4_93) = all_4_43
% 260.76/66.48 (119) pred(all_4_98) = all_4_68
% 260.76/66.48 (120) pred(n0) = n10
% 260.76/66.48 (121) pred(all_4_94) = all_4_52
% 260.76/66.48
% 260.76/66.48 Begin of proof
% 260.76/66.48 |
% 260.76/66.48 | BETA: splitting (66) gives:
% 260.76/66.48 |
% 260.76/66.48 | Case 1:
% 260.76/66.48 | |
% 260.76/66.48 | | (122) all_4_101 = n1
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (23), (122) imply:
% 260.76/66.48 | | (123) pred(n1) = all_4_79
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (102), (122) imply:
% 260.76/66.48 | | (124) succ(n1) = all_4_75
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (55) with n2, all_4_75, n1, simplifying with (4),
% 260.76/66.48 | | (124) gives:
% 260.76/66.48 | | (125) all_4_75 = n2
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (112) with n0, all_4_79, n1, simplifying with
% 260.76/66.48 | | (101), (123) gives:
% 260.76/66.48 | | (126) all_4_79 = n0
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (96), (125), (126) imply:
% 260.76/66.48 | | (127) sum(n0, n2) = all_4_73
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (43), (126) imply:
% 260.76/66.48 | | (128) sum(n0, n9) = all_4_77
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (87), (125) imply:
% 260.76/66.48 | | (129) sum(n7, n2) = all_4_74
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (82) with n2, all_4_73, n2, n0, simplifying with
% 260.76/66.48 | | (39), (127) gives:
% 260.76/66.48 | | (130) all_4_73 = n2
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (82) with n9, all_4_77, n9, n0, simplifying with
% 260.76/66.48 | | (53), (128) gives:
% 260.76/66.48 | | (131) all_4_77 = n9
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (82) with n9, all_4_74, n2, n7, simplifying with
% 260.76/66.48 | | (95), (129) gives:
% 260.76/66.48 | | (132) all_4_74 = n9
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (85), (130) imply:
% 260.76/66.48 | | (133) sum(n2, n5) = all_4_98
% 260.76/66.48 | |
% 260.76/66.48 | | REDUCE: (106), (131), (132) imply:
% 260.76/66.48 | | (134) sum(n9, n9) = all_4_99
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (82) with n7, all_4_98, n5, n2, simplifying with
% 260.76/66.48 | | (113), (133) gives:
% 260.76/66.48 | | (135) all_4_98 = n7
% 260.76/66.48 | |
% 260.76/66.48 | | GROUND_INST: instantiating (82) with n7, all_4_99, n9, n9, simplifying with
% 260.76/66.48 | | (84), (134) gives:
% 260.76/66.48 | | (136) all_4_99 = n7
% 260.76/66.48 | |
% 260.76/66.48 | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (11), (12), (13), (15), (16), (17),
% 260.76/66.48 | | (18), (19), (20), (22), (24), (25), (26), (27), (30), (31), (32),
% 260.76/66.48 | | (33), (34), (36), (38), (40), (44), (46), (47), (48), (49), (50),
% 260.76/66.48 | | (51), (52), (55), (56), (57), (60), (61), (62), (63), (65), (67),
% 260.76/66.48 | | (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 260.76/66.48 | | (79), (80), (81), (82), (83), (86), (89), (91), (92), (93), (97),
% 260.76/66.48 | | (98), (99), (100), (103), (104), (105), (108), (110), (111),
% 260.76/66.48 | | (112), (114), (115), (117), (118), (119), (121), (134), (135),
% 260.76/66.48 | | (136) are inconsistent by sub-proof #83.
% 260.76/66.48 | |
% 260.76/66.48 | Case 2:
% 260.76/66.48 | |
% 260.76/66.48 | | (137) all_4_101 = n0
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (23), (137) imply:
% 260.76/66.49 | | (138) pred(n0) = all_4_79
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (102), (137) imply:
% 260.76/66.49 | | (139) succ(n0) = all_4_75
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (55) with n1, all_4_75, n0, simplifying with
% 260.76/66.49 | | (35), (139) gives:
% 260.76/66.49 | | (140) all_4_75 = n1
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (112) with n10, all_4_79, n0, simplifying with
% 260.76/66.49 | | (120), (138) gives:
% 260.76/66.49 | | (141) all_4_79 = n10
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (96), (140), (141) imply:
% 260.76/66.49 | | (142) sum(n10, n1) = all_4_73
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (43), (141) imply:
% 260.76/66.49 | | (143) sum(n10, n9) = all_4_77
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (87), (140) imply:
% 260.76/66.49 | | (144) sum(n7, n1) = all_4_74
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (82) with n8, all_4_74, n1, n7, simplifying with
% 260.76/66.49 | | (9), (144) gives:
% 260.76/66.49 | | (145) all_4_74 = n8
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (82) with n0, all_4_73, n1, n10, simplifying with
% 260.76/66.49 | | (28), (142) gives:
% 260.76/66.49 | | (146) all_4_73 = n0
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (82) with n8, all_4_77, n9, n10, simplifying with
% 260.76/66.49 | | (116), (143) gives:
% 260.76/66.49 | | (147) all_4_77 = n8
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (85), (146) imply:
% 260.76/66.49 | | (148) sum(n0, n5) = all_4_98
% 260.76/66.49 | |
% 260.76/66.49 | | REDUCE: (106), (145), (147) imply:
% 260.76/66.49 | | (149) sum(n8, n8) = all_4_99
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (82) with n5, all_4_98, n5, n0, simplifying with
% 260.76/66.49 | | (107), (148) gives:
% 260.76/66.49 | | (150) all_4_98 = n5
% 260.76/66.49 | |
% 260.76/66.49 | | GROUND_INST: instantiating (82) with n5, all_4_99, n8, n8, simplifying with
% 260.76/66.49 | | (29), (149) gives:
% 260.76/66.49 | | (151) all_4_99 = n5
% 260.76/66.49 | |
% 260.76/66.49 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 260.76/66.49 | | (14), (16), (18), (19), (20), (21), (22), (24), (25), (26), (27),
% 260.76/66.49 | | (31), (32), (34), (36), (37), (38), (39), (40), (41), (42), (44),
% 260.76/66.49 | | (45), (46), (47), (48), (49), (51), (54), (55), (56), (57), (58),
% 260.76/66.49 | | (59), (61), (62), (63), (64), (65), (67), (69), (71), (72), (73),
% 260.76/66.49 | | (74), (76), (78), (81), (82), (83), (86), (88), (89), (90), (92),
% 260.76/66.49 | | (94), (98), (99), (101), (103), (104), (105), (108), (109),
% 260.76/66.49 | | (110), (112), (115), (117), (118), (119), (121), (149), (150),
% 260.76/66.49 | | (151) are inconsistent by sub-proof #69.
% 260.76/66.49 | |
% 260.76/66.49 | End of split
% 260.76/66.49 |
% 260.76/66.49 End of proof
% 260.76/66.49
% 260.76/66.49 Sub-proof #42 shows that the following formulas are inconsistent:
% 260.76/66.49 ----------------------------------------------------------------
% 260.76/66.49 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.76/66.49 (2) succ(all_4_95) = all_4_51
% 260.76/66.49 (3) succ(all_4_87) = all_4_19
% 260.76/66.49 (4) sum(n6, n6) = all_4_99
% 260.76/66.49 (5) sum(all_4_25, all_4_24) = all_4_86
% 260.76/66.49 (6) succ(n1) = n2
% 260.76/66.49 (7) succ(all_4_91) = all_4_35
% 260.76/66.49 (8) sum(n4, n6) = n10
% 260.76/66.49 (9) sum(all_4_21, all_4_18) = all_4_85
% 260.76/66.49 (10) succ(all_4_92) = all_4_46
% 260.76/66.49 (11) sum(all_4_23, all_4_19) = all_4_17
% 260.76/66.49 (12) ~ (all_4_84 = all_4_85)
% 260.76/66.49 (13) succ(all_4_89) = all_4_27
% 260.76/66.49 (14) sum(n2, n2) = n4
% 260.76/66.49 (15) pred(all_4_95) = all_4_55
% 260.76/66.49 (16) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.49 (17) sum(all_4_28, all_4_30) = all_4_24
% 260.76/66.49 (18) sum(all_4_20, all_4_19) = all_4_18
% 260.76/66.49 (19) succ(n9) = n10
% 260.76/66.49 (20) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.49 (21) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.49 (22) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.49 (23) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.49 (24) sum(all_4_23, all_4_22) = all_4_21
% 260.76/66.49 (25) sum(n2, n4) = n6
% 260.76/66.49 (26) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.49 (27) sum(all_4_31, all_4_27) = all_4_25
% 260.76/66.49 (28) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.49 (29) succ(all_4_94) = all_4_54
% 260.76/66.49 (30) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.49 (31) sum(n8, n8) = n5
% 260.76/66.49 (32) succ(all_4_86) = all_4_22
% 260.76/66.49 (33) pred(all_4_99) = all_4_71
% 260.76/66.49 (34) pred(all_4_86) = all_4_20
% 260.76/66.49 (35) succ(all_4_90) = all_4_38
% 260.76/66.49 (36) pred(all_4_88) = all_4_28
% 260.76/66.49 (37) sum(all_4_31, all_4_30) = all_4_29
% 260.76/66.49 (38) sum(n8, n10) = n7
% 260.76/66.49 (39) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.49 (40) sum(n0, n2) = n2
% 260.76/66.49 (41) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.49 (42) sum(n3, n5) = n8
% 260.76/66.49 (43) sum(n10, n10) = n9
% 260.76/66.49 (44) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.49 (45) pred(n5) = n4
% 260.76/66.49 (46) sum(all_4_29, all_4_26) = all_4_87
% 260.76/66.49 (47) pred(all_4_91) = all_4_39
% 260.76/66.49 (48) pred(all_4_89) = all_4_31
% 260.76/66.49 (49) pred(all_4_92) = all_4_44
% 260.76/66.49 (50) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.49 (51) pred(n4) = n3
% 260.76/66.49 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.49 | ~ (succ(v2) = v0))
% 260.76/66.49 (53) pred(all_4_97) = all_4_63
% 260.76/66.49 (54) succ(all_4_99) = all_4_67
% 260.76/66.49 (55) pred(n9) = n8
% 260.76/66.49 (56) succ(n3) = n4
% 260.76/66.49 (57) pred(all_4_96) = all_4_60
% 260.76/66.49 (58) succ(all_4_96) = all_4_62
% 260.76/66.49 (59) pred(n3) = n2
% 260.76/66.49 (60) succ(all_4_88) = all_4_30
% 260.76/66.49 (61) sum(all_4_20, all_4_22) = all_4_16
% 260.76/66.49 (62) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.49 (63) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.49 (64) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.49 (65) pred(all_4_93) = all_4_47
% 260.76/66.49 (66) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.49 (67) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.49 (68) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.49 (69) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.49 (70) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.49 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.49 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.49 (72) pred(all_4_87) = all_4_23
% 260.76/66.49 (73) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.49 (74) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.49 (75) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.49 (76) succ(n5) = n6
% 260.76/66.49 (77) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.49 (78) succ(n4) = n5
% 260.76/66.49 (79) sum(all_4_17, all_4_16) = all_4_84
% 260.76/66.49 (80) succ(all_4_98) = all_4_70
% 260.76/66.49 (81) pred(all_4_90) = all_4_36
% 260.76/66.49 (82) all_4_99 = n1
% 260.76/66.49 (83) pred(n1) = n0
% 260.76/66.49 (84) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.49 (85) succ(all_4_97) = all_4_59
% 260.76/66.49 (86) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.49 (87) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.49 (88) sum(n7, n7) = n3
% 260.76/66.49 (89) all_4_98 = n1
% 260.76/66.49 (90) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.49 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.49 | ~ (pred(v2) = v0))
% 260.76/66.49 (92) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.49 (93) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.49 (94) succ(all_4_93) = all_4_43
% 260.76/66.49 (95) pred(all_4_98) = all_4_68
% 260.76/66.49 (96) pred(all_4_94) = all_4_52
% 260.76/66.49
% 260.76/66.49 Begin of proof
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (89), (95) imply:
% 260.76/66.49 | (97) pred(n1) = all_4_68
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (33), (82) imply:
% 260.76/66.49 | (98) pred(n1) = all_4_71
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (80), (89) imply:
% 260.76/66.49 | (99) succ(n1) = all_4_70
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (54), (82) imply:
% 260.76/66.49 | (100) succ(n1) = all_4_67
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (4), (82) imply:
% 260.76/66.49 | (101) sum(n6, n6) = n1
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with n2, all_4_67, n1, simplifying with (6),
% 260.76/66.49 | (100) gives:
% 260.76/66.49 | (102) all_4_67 = n2
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with all_4_70, all_4_67, n1, simplifying with
% 260.76/66.49 | (99), (100) gives:
% 260.76/66.49 | (103) all_4_67 = all_4_70
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with n0, all_4_68, n1, simplifying with (83),
% 260.76/66.49 | (97) gives:
% 260.76/66.49 | (104) all_4_68 = n0
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n1, simplifying with
% 260.76/66.49 | (97), (98) gives:
% 260.76/66.49 | (105) all_4_68 = all_4_71
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (102), (103) imply:
% 260.76/66.49 | (106) all_4_70 = n2
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (104), (105) imply:
% 260.76/66.49 | (107) all_4_71 = n0
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (69), (102), (104) imply:
% 260.76/66.49 | (108) sum(n0, n2) = all_4_66
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (84), (104), (106) imply:
% 260.76/66.49 | (109) sum(n0, n2) = all_4_64
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (66), (102), (107) imply:
% 260.76/66.49 | (110) sum(n0, n2) = all_4_65
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (22), (106), (107) imply:
% 260.76/66.49 | (111) sum(n0, n2) = all_4_69
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n2, all_4_65, n2, n0, simplifying with
% 260.76/66.49 | (40), (110) gives:
% 260.76/66.49 | (112) all_4_65 = n2
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_66, all_4_65, n2, n0, simplifying
% 260.76/66.49 | with (108), (110) gives:
% 260.76/66.49 | (113) all_4_65 = all_4_66
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_66, all_4_64, n2, n0, simplifying
% 260.76/66.49 | with (108), (109) gives:
% 260.76/66.49 | (114) all_4_64 = all_4_66
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_69, all_4_64, n2, n0, simplifying
% 260.76/66.49 | with (109), (111) gives:
% 260.76/66.49 | (115) all_4_64 = all_4_69
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (114), (115) imply:
% 260.76/66.49 | (116) all_4_66 = all_4_69
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (116) implies:
% 260.76/66.49 | (117) all_4_66 = all_4_69
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (112), (113) imply:
% 260.76/66.49 | (118) all_4_66 = n2
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (118) implies:
% 260.76/66.49 | (119) all_4_66 = n2
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (117), (119) imply:
% 260.76/66.49 | (120) all_4_69 = n2
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (115), (120) imply:
% 260.76/66.49 | (121) all_4_64 = n2
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (50), (112), (121) imply:
% 260.76/66.49 | (122) sum(n2, n2) = all_4_96
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (77), (119), (120) imply:
% 260.76/66.49 | (123) sum(n2, n2) = all_4_97
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n4, all_4_96, n2, n2, simplifying with
% 260.76/66.49 | (14), (122) gives:
% 260.76/66.49 | (124) all_4_96 = n4
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_97, all_4_96, n2, n2, simplifying
% 260.76/66.49 | with (122), (123) gives:
% 260.76/66.49 | (125) all_4_96 = all_4_97
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (124), (125) imply:
% 260.76/66.49 | (126) all_4_97 = n4
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (126) implies:
% 260.76/66.49 | (127) all_4_97 = n4
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (57), (124) imply:
% 260.76/66.49 | (128) pred(n4) = all_4_60
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (53), (127) imply:
% 260.76/66.49 | (129) pred(n4) = all_4_63
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (58), (124) imply:
% 260.76/66.49 | (130) succ(n4) = all_4_62
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (85), (127) imply:
% 260.76/66.49 | (131) succ(n4) = all_4_59
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with n5, all_4_59, n4, simplifying with (78),
% 260.76/66.49 | (131) gives:
% 260.76/66.49 | (132) all_4_59 = n5
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with all_4_62, all_4_59, n4, simplifying with
% 260.76/66.49 | (130), (131) gives:
% 260.76/66.49 | (133) all_4_59 = all_4_62
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with n3, all_4_60, n4, simplifying with (51),
% 260.76/66.49 | (128) gives:
% 260.76/66.49 | (134) all_4_60 = n3
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n4, simplifying with
% 260.76/66.49 | (128), (129) gives:
% 260.76/66.49 | (135) all_4_60 = all_4_63
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (132), (133) imply:
% 260.76/66.49 | (136) all_4_62 = n5
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (134), (135) imply:
% 260.76/66.49 | (137) all_4_63 = n3
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (67), (132), (134) imply:
% 260.76/66.49 | (138) sum(n3, n5) = all_4_58
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (21), (134), (136) imply:
% 260.76/66.49 | (139) sum(n3, n5) = all_4_56
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (26), (132), (137) imply:
% 260.76/66.49 | (140) sum(n3, n5) = all_4_57
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (28), (136), (137) imply:
% 260.76/66.49 | (141) sum(n3, n5) = all_4_61
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n8, all_4_57, n5, n3, simplifying with
% 260.76/66.49 | (42), (140) gives:
% 260.76/66.49 | (142) all_4_57 = n8
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_58, all_4_57, n5, n3, simplifying
% 260.76/66.49 | with (138), (140) gives:
% 260.76/66.49 | (143) all_4_57 = all_4_58
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_57, all_4_56, n5, n3, simplifying
% 260.76/66.49 | with (139), (140) gives:
% 260.76/66.49 | (144) all_4_56 = all_4_57
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_61, all_4_56, n5, n3, simplifying
% 260.76/66.49 | with (139), (141) gives:
% 260.76/66.49 | (145) all_4_56 = all_4_61
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (144), (145) imply:
% 260.76/66.49 | (146) all_4_57 = all_4_61
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (146) implies:
% 260.76/66.49 | (147) all_4_57 = all_4_61
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (142), (143) imply:
% 260.76/66.49 | (148) all_4_58 = n8
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (143), (147) imply:
% 260.76/66.49 | (149) all_4_58 = all_4_61
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (148), (149) imply:
% 260.76/66.49 | (150) all_4_61 = n8
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (145), (150) imply:
% 260.76/66.49 | (151) all_4_56 = n8
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (39), (142), (151) imply:
% 260.76/66.49 | (152) sum(n8, n8) = all_4_94
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (87), (148), (150) imply:
% 260.76/66.49 | (153) sum(n8, n8) = all_4_95
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n5, all_4_94, n8, n8, simplifying with
% 260.76/66.49 | (31), (152) gives:
% 260.76/66.49 | (154) all_4_94 = n5
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_95, all_4_94, n8, n8, simplifying
% 260.76/66.49 | with (152), (153) gives:
% 260.76/66.49 | (155) all_4_94 = all_4_95
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (154), (155) imply:
% 260.76/66.49 | (156) all_4_95 = n5
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (96), (154) imply:
% 260.76/66.49 | (157) pred(n5) = all_4_52
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (15), (156) imply:
% 260.76/66.49 | (158) pred(n5) = all_4_55
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (29), (154) imply:
% 260.76/66.49 | (159) succ(n5) = all_4_54
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (2), (156) imply:
% 260.76/66.49 | (160) succ(n5) = all_4_51
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with n6, all_4_51, n5, simplifying with (76),
% 260.76/66.49 | (160) gives:
% 260.76/66.49 | (161) all_4_51 = n6
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with all_4_54, all_4_51, n5, simplifying with
% 260.76/66.49 | (159), (160) gives:
% 260.76/66.49 | (162) all_4_51 = all_4_54
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with n4, all_4_52, n5, simplifying with (45),
% 260.76/66.49 | (157) gives:
% 260.76/66.49 | (163) all_4_52 = n4
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n5, simplifying with
% 260.76/66.49 | (157), (158) gives:
% 260.76/66.49 | (164) all_4_52 = all_4_55
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (161), (162) imply:
% 260.76/66.49 | (165) all_4_54 = n6
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (163), (164) imply:
% 260.76/66.49 | (166) all_4_55 = n4
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (166) implies:
% 260.76/66.49 | (167) all_4_55 = n4
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (92), (161), (163) imply:
% 260.76/66.49 | (168) sum(n4, n6) = all_4_50
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (20), (163), (165) imply:
% 260.76/66.49 | (169) sum(n4, n6) = all_4_48
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (62), (161), (167) imply:
% 260.76/66.49 | (170) sum(n4, n6) = all_4_49
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (23), (165), (167) imply:
% 260.76/66.49 | (171) sum(n4, n6) = all_4_53
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n10, all_4_49, n6, n4, simplifying with
% 260.76/66.49 | (8), (170) gives:
% 260.76/66.49 | (172) all_4_49 = n10
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_50, all_4_49, n6, n4, simplifying
% 260.76/66.49 | with (168), (170) gives:
% 260.76/66.49 | (173) all_4_49 = all_4_50
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_49, all_4_48, n6, n4, simplifying
% 260.76/66.49 | with (169), (170) gives:
% 260.76/66.49 | (174) all_4_48 = all_4_49
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_53, all_4_48, n6, n4, simplifying
% 260.76/66.49 | with (169), (171) gives:
% 260.76/66.49 | (175) all_4_48 = all_4_53
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (174), (175) imply:
% 260.76/66.49 | (176) all_4_49 = all_4_53
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (176) implies:
% 260.76/66.49 | (177) all_4_49 = all_4_53
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (172), (173) imply:
% 260.76/66.49 | (178) all_4_50 = n10
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (173), (177) imply:
% 260.76/66.49 | (179) all_4_50 = all_4_53
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (178), (179) imply:
% 260.76/66.49 | (180) all_4_53 = n10
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (175), (180) imply:
% 260.76/66.49 | (181) all_4_48 = n10
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (90), (172), (181) imply:
% 260.76/66.49 | (182) sum(n10, n10) = all_4_92
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (93), (178), (180) imply:
% 260.76/66.49 | (183) sum(n10, n10) = all_4_93
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n9, all_4_92, n10, n10, simplifying with
% 260.76/66.49 | (43), (182) gives:
% 260.76/66.49 | (184) all_4_92 = n9
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_93, all_4_92, n10, n10, simplifying
% 260.76/66.49 | with (182), (183) gives:
% 260.76/66.49 | (185) all_4_92 = all_4_93
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (184), (185) imply:
% 260.76/66.49 | (186) all_4_93 = n9
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (186) implies:
% 260.76/66.49 | (187) all_4_93 = n9
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (49), (184) imply:
% 260.76/66.49 | (188) pred(n9) = all_4_44
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (65), (187) imply:
% 260.76/66.49 | (189) pred(n9) = all_4_47
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (10), (184) imply:
% 260.76/66.49 | (190) succ(n9) = all_4_46
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (94), (187) imply:
% 260.76/66.49 | (191) succ(n9) = all_4_43
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with n10, all_4_43, n9, simplifying with (19),
% 260.76/66.49 | (191) gives:
% 260.76/66.49 | (192) all_4_43 = n10
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with all_4_46, all_4_43, n9, simplifying with
% 260.76/66.49 | (190), (191) gives:
% 260.76/66.49 | (193) all_4_43 = all_4_46
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with n8, all_4_44, n9, simplifying with (55),
% 260.76/66.49 | (188) gives:
% 260.76/66.49 | (194) all_4_44 = n8
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n9, simplifying with
% 260.76/66.49 | (188), (189) gives:
% 260.76/66.49 | (195) all_4_44 = all_4_47
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (192), (193) imply:
% 260.76/66.49 | (196) all_4_46 = n10
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (194), (195) imply:
% 260.76/66.49 | (197) all_4_47 = n8
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (75), (192), (194) imply:
% 260.76/66.49 | (198) sum(n8, n10) = all_4_42
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (16), (194), (196) imply:
% 260.76/66.49 | (199) sum(n8, n10) = all_4_40
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (44), (192), (197) imply:
% 260.76/66.49 | (200) sum(n8, n10) = all_4_41
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (64), (196), (197) imply:
% 260.76/66.49 | (201) sum(n8, n10) = all_4_45
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n7, all_4_41, n10, n8, simplifying with
% 260.76/66.49 | (38), (200) gives:
% 260.76/66.49 | (202) all_4_41 = n7
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_42, all_4_41, n10, n8, simplifying
% 260.76/66.49 | with (198), (200) gives:
% 260.76/66.49 | (203) all_4_41 = all_4_42
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_41, all_4_40, n10, n8, simplifying
% 260.76/66.49 | with (199), (200) gives:
% 260.76/66.49 | (204) all_4_40 = all_4_41
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_45, all_4_40, n10, n8, simplifying
% 260.76/66.49 | with (199), (201) gives:
% 260.76/66.49 | (205) all_4_40 = all_4_45
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (204), (205) imply:
% 260.76/66.49 | (206) all_4_41 = all_4_45
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (206) implies:
% 260.76/66.49 | (207) all_4_41 = all_4_45
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (202), (203) imply:
% 260.76/66.49 | (208) all_4_42 = n7
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (203), (207) imply:
% 260.76/66.49 | (209) all_4_42 = all_4_45
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (208), (209) imply:
% 260.76/66.49 | (210) all_4_45 = n7
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (210) implies:
% 260.76/66.49 | (211) all_4_45 = n7
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (205), (211) imply:
% 260.76/66.49 | (212) all_4_40 = n7
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (68), (202), (212) imply:
% 260.76/66.49 | (213) sum(n7, n7) = all_4_90
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (73), (208), (211) imply:
% 260.76/66.49 | (214) sum(n7, n7) = all_4_91
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n3, all_4_90, n7, n7, simplifying with
% 260.76/66.49 | (88), (213) gives:
% 260.76/66.49 | (215) all_4_90 = n3
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_91, all_4_90, n7, n7, simplifying
% 260.76/66.49 | with (213), (214) gives:
% 260.76/66.49 | (216) all_4_90 = all_4_91
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (215), (216) imply:
% 260.76/66.49 | (217) all_4_91 = n3
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (217) implies:
% 260.76/66.49 | (218) all_4_91 = n3
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (81), (215) imply:
% 260.76/66.49 | (219) pred(n3) = all_4_36
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (47), (218) imply:
% 260.76/66.49 | (220) pred(n3) = all_4_39
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (35), (215) imply:
% 260.76/66.49 | (221) succ(n3) = all_4_38
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (7), (218) imply:
% 260.76/66.49 | (222) succ(n3) = all_4_35
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with n4, all_4_35, n3, simplifying with (56),
% 260.76/66.49 | (222) gives:
% 260.76/66.49 | (223) all_4_35 = n4
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with all_4_38, all_4_35, n3, simplifying with
% 260.76/66.49 | (221), (222) gives:
% 260.76/66.49 | (224) all_4_35 = all_4_38
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with n2, all_4_36, n3, simplifying with (59),
% 260.76/66.49 | (219) gives:
% 260.76/66.49 | (225) all_4_36 = n2
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n3, simplifying with
% 260.76/66.49 | (219), (220) gives:
% 260.76/66.49 | (226) all_4_36 = all_4_39
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (223), (224) imply:
% 260.76/66.49 | (227) all_4_38 = n4
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (225), (226) imply:
% 260.76/66.49 | (228) all_4_39 = n2
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (63), (223), (225) imply:
% 260.76/66.49 | (229) sum(n2, n4) = all_4_34
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (86), (225), (227) imply:
% 260.76/66.49 | (230) sum(n2, n4) = all_4_32
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (70), (223), (228) imply:
% 260.76/66.49 | (231) sum(n2, n4) = all_4_33
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (74), (227), (228) imply:
% 260.76/66.49 | (232) sum(n2, n4) = all_4_37
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n6, all_4_33, n4, n2, simplifying with
% 260.76/66.49 | (25), (231) gives:
% 260.76/66.49 | (233) all_4_33 = n6
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_34, all_4_33, n4, n2, simplifying
% 260.76/66.49 | with (229), (231) gives:
% 260.76/66.49 | (234) all_4_33 = all_4_34
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_33, all_4_32, n4, n2, simplifying
% 260.76/66.49 | with (230), (231) gives:
% 260.76/66.49 | (235) all_4_32 = all_4_33
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_37, all_4_32, n4, n2, simplifying
% 260.76/66.49 | with (230), (232) gives:
% 260.76/66.49 | (236) all_4_32 = all_4_37
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (235), (236) imply:
% 260.76/66.49 | (237) all_4_33 = all_4_37
% 260.76/66.49 |
% 260.76/66.49 | SIMP: (237) implies:
% 260.76/66.49 | (238) all_4_33 = all_4_37
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (233), (234) imply:
% 260.76/66.49 | (239) all_4_34 = n6
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (234), (238) imply:
% 260.76/66.49 | (240) all_4_34 = all_4_37
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (239), (240) imply:
% 260.76/66.49 | (241) all_4_37 = n6
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (236), (241) imply:
% 260.76/66.49 | (242) all_4_32 = n6
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (41), (233), (242) imply:
% 260.76/66.49 | (243) sum(n6, n6) = all_4_88
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (30), (239), (241) imply:
% 260.76/66.49 | (244) sum(n6, n6) = all_4_89
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with n1, all_4_88, n6, n6, simplifying with
% 260.76/66.49 | (101), (243) gives:
% 260.76/66.49 | (245) all_4_88 = n1
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (71) with all_4_89, all_4_88, n6, n6, simplifying
% 260.76/66.49 | with (243), (244) gives:
% 260.76/66.49 | (246) all_4_88 = all_4_89
% 260.76/66.49 |
% 260.76/66.49 | COMBINE_EQS: (245), (246) imply:
% 260.76/66.49 | (247) all_4_89 = n1
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (36), (245) imply:
% 260.76/66.49 | (248) pred(n1) = all_4_28
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (48), (247) imply:
% 260.76/66.49 | (249) pred(n1) = all_4_31
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (60), (245) imply:
% 260.76/66.49 | (250) succ(n1) = all_4_30
% 260.76/66.49 |
% 260.76/66.49 | REDUCE: (13), (247) imply:
% 260.76/66.49 | (251) succ(n1) = all_4_27
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with n2, all_4_27, n1, simplifying with (6),
% 260.76/66.49 | (251) gives:
% 260.76/66.49 | (252) all_4_27 = n2
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (52) with all_4_30, all_4_27, n1, simplifying with
% 260.76/66.49 | (250), (251) gives:
% 260.76/66.49 | (253) all_4_27 = all_4_30
% 260.76/66.49 |
% 260.76/66.49 | GROUND_INST: instantiating (91) with n0, all_4_28, n1, simplifying with (83),
% 260.76/66.49 | (248) gives:
% 260.76/66.49 | (254) all_4_28 = n0
% 260.76/66.49 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n1, simplifying with
% 260.76/66.50 | (248), (249) gives:
% 260.76/66.50 | (255) all_4_28 = all_4_31
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (252), (253) imply:
% 260.76/66.50 | (256) all_4_30 = n2
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (254), (255) imply:
% 260.76/66.50 | (257) all_4_31 = n0
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (1), (252), (254) imply:
% 260.76/66.50 | (258) sum(n0, n2) = all_4_26
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (17), (254), (256) imply:
% 260.76/66.50 | (259) sum(n0, n2) = all_4_24
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (27), (252), (257) imply:
% 260.76/66.50 | (260) sum(n0, n2) = all_4_25
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (37), (256), (257) imply:
% 260.76/66.50 | (261) sum(n0, n2) = all_4_29
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n2, all_4_25, n2, n0, simplifying with
% 260.76/66.50 | (40), (260) gives:
% 260.76/66.50 | (262) all_4_25 = n2
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_26, all_4_25, n2, n0, simplifying
% 260.76/66.50 | with (258), (260) gives:
% 260.76/66.50 | (263) all_4_25 = all_4_26
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_25, all_4_24, n2, n0, simplifying
% 260.76/66.50 | with (259), (260) gives:
% 260.76/66.50 | (264) all_4_24 = all_4_25
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_29, all_4_24, n2, n0, simplifying
% 260.76/66.50 | with (259), (261) gives:
% 260.76/66.50 | (265) all_4_24 = all_4_29
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (264), (265) imply:
% 260.76/66.50 | (266) all_4_25 = all_4_29
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (266) implies:
% 260.76/66.50 | (267) all_4_25 = all_4_29
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (262), (263) imply:
% 260.76/66.50 | (268) all_4_26 = n2
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (263), (267) imply:
% 260.76/66.50 | (269) all_4_26 = all_4_29
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (268), (269) imply:
% 260.76/66.50 | (270) all_4_29 = n2
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (265), (270) imply:
% 260.76/66.50 | (271) all_4_24 = n2
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (5), (262), (271) imply:
% 260.76/66.50 | (272) sum(n2, n2) = all_4_86
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (46), (268), (270) imply:
% 260.76/66.50 | (273) sum(n2, n2) = all_4_87
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n4, all_4_86, n2, n2, simplifying with
% 260.76/66.50 | (14), (272) gives:
% 260.76/66.50 | (274) all_4_86 = n4
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_87, all_4_86, n2, n2, simplifying
% 260.76/66.50 | with (272), (273) gives:
% 260.76/66.50 | (275) all_4_86 = all_4_87
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (274), (275) imply:
% 260.76/66.50 | (276) all_4_87 = n4
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (276) implies:
% 260.76/66.50 | (277) all_4_87 = n4
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (34), (274) imply:
% 260.76/66.50 | (278) pred(n4) = all_4_20
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (72), (277) imply:
% 260.76/66.50 | (279) pred(n4) = all_4_23
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (32), (274) imply:
% 260.76/66.50 | (280) succ(n4) = all_4_22
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (3), (277) imply:
% 260.76/66.50 | (281) succ(n4) = all_4_19
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (52) with n5, all_4_19, n4, simplifying with (78),
% 260.76/66.50 | (281) gives:
% 260.76/66.50 | (282) all_4_19 = n5
% 260.76/66.50 |
% 260.76/66.50 | REF_CLOSE: (9), (11), (12), (18), (24), (31), (42), (51), (52), (61), (71),
% 260.76/66.50 | (79), (91), (278), (279), (280), (281), (282) are inconsistent by
% 260.76/66.50 | sub-proof #172.
% 260.76/66.50 |
% 260.76/66.50 End of proof
% 260.76/66.50
% 260.76/66.50 Sub-proof #43 shows that the following formulas are inconsistent:
% 260.76/66.50 ----------------------------------------------------------------
% 260.76/66.50 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.76/66.50 (2) succ(all_4_95) = all_4_51
% 260.76/66.50 (3) succ(all_4_87) = all_4_19
% 260.76/66.50 (4) sum(all_4_25, all_4_24) = all_4_86
% 260.76/66.50 (5) succ(n1) = n2
% 260.76/66.50 (6) succ(all_4_91) = all_4_35
% 260.76/66.50 (7) sum(n4, n6) = n10
% 260.76/66.50 (8) sum(all_4_21, all_4_18) = all_4_85
% 260.76/66.50 (9) succ(all_4_92) = all_4_46
% 260.76/66.50 (10) sum(all_4_23, all_4_19) = all_4_17
% 260.76/66.50 (11) ~ (all_4_84 = all_4_85)
% 260.76/66.50 (12) succ(all_4_89) = all_4_27
% 260.76/66.50 (13) sum(n2, n2) = n4
% 260.76/66.50 (14) pred(all_4_95) = all_4_55
% 260.76/66.50 (15) sum(all_4_44, all_4_46) = all_4_40
% 260.76/66.50 (16) sum(all_4_28, all_4_30) = all_4_24
% 260.76/66.50 (17) sum(all_4_20, all_4_19) = all_4_18
% 260.76/66.50 (18) succ(n9) = n10
% 260.76/66.50 (19) sum(all_4_52, all_4_54) = all_4_48
% 260.76/66.50 (20) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.50 (21) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.50 (22) sum(all_4_55, all_4_54) = all_4_53
% 260.76/66.50 (23) sum(all_4_23, all_4_22) = all_4_21
% 260.76/66.50 (24) sum(n2, n4) = n6
% 260.76/66.50 (25) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.50 (26) sum(all_4_31, all_4_27) = all_4_25
% 260.76/66.50 (27) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.50 (28) succ(all_4_94) = all_4_54
% 260.76/66.50 (29) sum(all_4_37, all_4_34) = all_4_89
% 260.76/66.50 (30) sum(n8, n8) = n5
% 260.76/66.50 (31) succ(all_4_86) = all_4_22
% 260.76/66.50 (32) pred(all_4_99) = all_4_71
% 260.76/66.50 (33) pred(all_4_86) = all_4_20
% 260.76/66.50 (34) succ(all_4_90) = all_4_38
% 260.76/66.50 (35) pred(all_4_88) = all_4_28
% 260.76/66.50 (36) sum(all_4_31, all_4_30) = all_4_29
% 260.76/66.50 (37) sum(n8, n10) = n7
% 260.76/66.50 (38) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.50 (39) sum(n0, n2) = n2
% 260.76/66.50 (40) sum(all_4_33, all_4_32) = all_4_88
% 260.76/66.50 (41) sum(n3, n5) = n8
% 260.76/66.50 (42) sum(n10, n10) = n9
% 260.76/66.50 (43) sum(all_4_47, all_4_43) = all_4_41
% 260.76/66.50 (44) pred(n5) = n4
% 260.76/66.50 (45) sum(all_4_29, all_4_26) = all_4_87
% 260.76/66.50 (46) pred(all_4_91) = all_4_39
% 260.76/66.50 (47) pred(all_4_89) = all_4_31
% 260.76/66.50 (48) pred(all_4_92) = all_4_44
% 260.76/66.50 (49) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.50 (50) pred(n4) = n3
% 260.76/66.50 (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.50 | ~ (succ(v2) = v0))
% 260.76/66.50 (52) pred(all_4_97) = all_4_63
% 260.76/66.50 (53) succ(all_4_99) = all_4_67
% 260.76/66.50 (54) pred(n9) = n8
% 260.76/66.50 (55) succ(n3) = n4
% 260.76/66.50 (56) pred(all_4_96) = all_4_60
% 260.76/66.50 (57) succ(all_4_96) = all_4_62
% 260.76/66.50 (58) pred(n3) = n2
% 260.76/66.50 (59) succ(all_4_88) = all_4_30
% 260.76/66.50 (60) sum(all_4_20, all_4_22) = all_4_16
% 260.76/66.50 (61) sum(all_4_55, all_4_51) = all_4_49
% 260.76/66.50 (62) sum(all_4_36, all_4_35) = all_4_34
% 260.76/66.50 (63) sum(all_4_47, all_4_46) = all_4_45
% 260.76/66.50 (64) pred(all_4_93) = all_4_47
% 260.76/66.50 (65) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.50 (66) all_4_98 = n3
% 260.76/66.50 (67) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.50 (68) sum(all_4_41, all_4_40) = all_4_90
% 260.76/66.50 (69) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.50 (70) sum(all_4_39, all_4_35) = all_4_33
% 260.76/66.50 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.50 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.50 (72) pred(all_4_87) = all_4_23
% 260.76/66.50 (73) sum(all_4_45, all_4_42) = all_4_91
% 260.76/66.50 (74) sum(all_4_39, all_4_38) = all_4_37
% 260.76/66.50 (75) sum(n6, n6) = n1
% 260.76/66.50 (76) sum(n7, n7) = all_4_99
% 260.76/66.50 (77) sum(all_4_44, all_4_43) = all_4_42
% 260.76/66.50 (78) succ(n5) = n6
% 260.76/66.50 (79) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.50 (80) succ(n4) = n5
% 260.76/66.50 (81) sum(all_4_17, all_4_16) = all_4_84
% 260.76/66.50 (82) succ(all_4_98) = all_4_70
% 260.76/66.50 (83) all_4_99 = n3
% 260.76/66.50 (84) pred(all_4_90) = all_4_36
% 260.76/66.50 (85) pred(n1) = n0
% 260.76/66.50 (86) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.50 (87) succ(all_4_97) = all_4_59
% 260.76/66.50 (88) sum(all_4_36, all_4_38) = all_4_32
% 260.76/66.50 (89) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.50 (90) sum(all_4_49, all_4_48) = all_4_92
% 260.76/66.50 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.50 | ~ (pred(v2) = v0))
% 260.76/66.50 (92) sum(all_4_52, all_4_51) = all_4_50
% 260.76/66.50 (93) sum(all_4_53, all_4_50) = all_4_93
% 260.76/66.50 (94) succ(all_4_93) = all_4_43
% 260.76/66.50 (95) pred(all_4_98) = all_4_68
% 260.76/66.50 (96) pred(all_4_94) = all_4_52
% 260.76/66.50
% 260.76/66.50 Begin of proof
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (66), (95) imply:
% 260.76/66.50 | (97) pred(n3) = all_4_68
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (32), (83) imply:
% 260.76/66.50 | (98) pred(n3) = all_4_71
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (66), (82) imply:
% 260.76/66.50 | (99) succ(n3) = all_4_70
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (53), (83) imply:
% 260.76/66.50 | (100) succ(n3) = all_4_67
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (76), (83) imply:
% 260.76/66.50 | (101) sum(n7, n7) = n3
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with n4, all_4_67, n3, simplifying with (55),
% 260.76/66.50 | (100) gives:
% 260.76/66.50 | (102) all_4_67 = n4
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with all_4_70, all_4_67, n3, simplifying with
% 260.76/66.50 | (99), (100) gives:
% 260.76/66.50 | (103) all_4_67 = all_4_70
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with n2, all_4_68, n3, simplifying with (58),
% 260.76/66.50 | (97) gives:
% 260.76/66.50 | (104) all_4_68 = n2
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n3, simplifying with
% 260.76/66.50 | (97), (98) gives:
% 260.76/66.50 | (105) all_4_68 = all_4_71
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (102), (103) imply:
% 260.76/66.50 | (106) all_4_70 = n4
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (104), (105) imply:
% 260.76/66.50 | (107) all_4_71 = n2
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (69), (102), (104) imply:
% 260.76/66.50 | (108) sum(n2, n4) = all_4_66
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (86), (104), (106) imply:
% 260.76/66.50 | (109) sum(n2, n4) = all_4_64
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (65), (102), (107) imply:
% 260.76/66.50 | (110) sum(n2, n4) = all_4_65
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (21), (106), (107) imply:
% 260.76/66.50 | (111) sum(n2, n4) = all_4_69
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n6, all_4_65, n4, n2, simplifying with
% 260.76/66.50 | (24), (110) gives:
% 260.76/66.50 | (112) all_4_65 = n6
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_66, all_4_65, n4, n2, simplifying
% 260.76/66.50 | with (108), (110) gives:
% 260.76/66.50 | (113) all_4_65 = all_4_66
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_66, all_4_64, n4, n2, simplifying
% 260.76/66.50 | with (108), (109) gives:
% 260.76/66.50 | (114) all_4_64 = all_4_66
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_69, all_4_64, n4, n2, simplifying
% 260.76/66.50 | with (109), (111) gives:
% 260.76/66.50 | (115) all_4_64 = all_4_69
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (114), (115) imply:
% 260.76/66.50 | (116) all_4_66 = all_4_69
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (116) implies:
% 260.76/66.50 | (117) all_4_66 = all_4_69
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (112), (113) imply:
% 260.76/66.50 | (118) all_4_66 = n6
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (118) implies:
% 260.76/66.50 | (119) all_4_66 = n6
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (117), (119) imply:
% 260.76/66.50 | (120) all_4_69 = n6
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (115), (120) imply:
% 260.76/66.50 | (121) all_4_64 = n6
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (49), (112), (121) imply:
% 260.76/66.50 | (122) sum(n6, n6) = all_4_96
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (79), (119), (120) imply:
% 260.76/66.50 | (123) sum(n6, n6) = all_4_97
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n1, all_4_96, n6, n6, simplifying with
% 260.76/66.50 | (75), (122) gives:
% 260.76/66.50 | (124) all_4_96 = n1
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_97, all_4_96, n6, n6, simplifying
% 260.76/66.50 | with (122), (123) gives:
% 260.76/66.50 | (125) all_4_96 = all_4_97
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (124), (125) imply:
% 260.76/66.50 | (126) all_4_97 = n1
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (126) implies:
% 260.76/66.50 | (127) all_4_97 = n1
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (56), (124) imply:
% 260.76/66.50 | (128) pred(n1) = all_4_60
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (52), (127) imply:
% 260.76/66.50 | (129) pred(n1) = all_4_63
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (57), (124) imply:
% 260.76/66.50 | (130) succ(n1) = all_4_62
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (87), (127) imply:
% 260.76/66.50 | (131) succ(n1) = all_4_59
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with n2, all_4_59, n1, simplifying with (5),
% 260.76/66.50 | (131) gives:
% 260.76/66.50 | (132) all_4_59 = n2
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with all_4_62, all_4_59, n1, simplifying with
% 260.76/66.50 | (130), (131) gives:
% 260.76/66.50 | (133) all_4_59 = all_4_62
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with n0, all_4_60, n1, simplifying with (85),
% 260.76/66.50 | (128) gives:
% 260.76/66.50 | (134) all_4_60 = n0
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n1, simplifying with
% 260.76/66.50 | (128), (129) gives:
% 260.76/66.50 | (135) all_4_60 = all_4_63
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (132), (133) imply:
% 260.76/66.50 | (136) all_4_62 = n2
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (134), (135) imply:
% 260.76/66.50 | (137) all_4_63 = n0
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (67), (132), (134) imply:
% 260.76/66.50 | (138) sum(n0, n2) = all_4_58
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (20), (134), (136) imply:
% 260.76/66.50 | (139) sum(n0, n2) = all_4_56
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (25), (132), (137) imply:
% 260.76/66.50 | (140) sum(n0, n2) = all_4_57
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (27), (136), (137) imply:
% 260.76/66.50 | (141) sum(n0, n2) = all_4_61
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n2, all_4_57, n2, n0, simplifying with
% 260.76/66.50 | (39), (140) gives:
% 260.76/66.50 | (142) all_4_57 = n2
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_58, all_4_57, n2, n0, simplifying
% 260.76/66.50 | with (138), (140) gives:
% 260.76/66.50 | (143) all_4_57 = all_4_58
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_57, all_4_56, n2, n0, simplifying
% 260.76/66.50 | with (139), (140) gives:
% 260.76/66.50 | (144) all_4_56 = all_4_57
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_61, all_4_56, n2, n0, simplifying
% 260.76/66.50 | with (139), (141) gives:
% 260.76/66.50 | (145) all_4_56 = all_4_61
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (144), (145) imply:
% 260.76/66.50 | (146) all_4_57 = all_4_61
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (146) implies:
% 260.76/66.50 | (147) all_4_57 = all_4_61
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (142), (143) imply:
% 260.76/66.50 | (148) all_4_58 = n2
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (143), (147) imply:
% 260.76/66.50 | (149) all_4_58 = all_4_61
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (148), (149) imply:
% 260.76/66.50 | (150) all_4_61 = n2
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (145), (150) imply:
% 260.76/66.50 | (151) all_4_56 = n2
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (38), (142), (151) imply:
% 260.76/66.50 | (152) sum(n2, n2) = all_4_94
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (89), (148), (150) imply:
% 260.76/66.50 | (153) sum(n2, n2) = all_4_95
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n4, all_4_94, n2, n2, simplifying with
% 260.76/66.50 | (13), (152) gives:
% 260.76/66.50 | (154) all_4_94 = n4
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_95, all_4_94, n2, n2, simplifying
% 260.76/66.50 | with (152), (153) gives:
% 260.76/66.50 | (155) all_4_94 = all_4_95
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (154), (155) imply:
% 260.76/66.50 | (156) all_4_95 = n4
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (96), (154) imply:
% 260.76/66.50 | (157) pred(n4) = all_4_52
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (14), (156) imply:
% 260.76/66.50 | (158) pred(n4) = all_4_55
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (28), (154) imply:
% 260.76/66.50 | (159) succ(n4) = all_4_54
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (2), (156) imply:
% 260.76/66.50 | (160) succ(n4) = all_4_51
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with n5, all_4_51, n4, simplifying with (80),
% 260.76/66.50 | (160) gives:
% 260.76/66.50 | (161) all_4_51 = n5
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with all_4_54, all_4_51, n4, simplifying with
% 260.76/66.50 | (159), (160) gives:
% 260.76/66.50 | (162) all_4_51 = all_4_54
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with n3, all_4_52, n4, simplifying with (50),
% 260.76/66.50 | (157) gives:
% 260.76/66.50 | (163) all_4_52 = n3
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n4, simplifying with
% 260.76/66.50 | (157), (158) gives:
% 260.76/66.50 | (164) all_4_52 = all_4_55
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (161), (162) imply:
% 260.76/66.50 | (165) all_4_54 = n5
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (163), (164) imply:
% 260.76/66.50 | (166) all_4_55 = n3
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (166) implies:
% 260.76/66.50 | (167) all_4_55 = n3
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (92), (161), (163) imply:
% 260.76/66.50 | (168) sum(n3, n5) = all_4_50
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (19), (163), (165) imply:
% 260.76/66.50 | (169) sum(n3, n5) = all_4_48
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (61), (161), (167) imply:
% 260.76/66.50 | (170) sum(n3, n5) = all_4_49
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (22), (165), (167) imply:
% 260.76/66.50 | (171) sum(n3, n5) = all_4_53
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n8, all_4_49, n5, n3, simplifying with
% 260.76/66.50 | (41), (170) gives:
% 260.76/66.50 | (172) all_4_49 = n8
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_50, all_4_49, n5, n3, simplifying
% 260.76/66.50 | with (168), (170) gives:
% 260.76/66.50 | (173) all_4_49 = all_4_50
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_49, all_4_48, n5, n3, simplifying
% 260.76/66.50 | with (169), (170) gives:
% 260.76/66.50 | (174) all_4_48 = all_4_49
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_53, all_4_48, n5, n3, simplifying
% 260.76/66.50 | with (169), (171) gives:
% 260.76/66.50 | (175) all_4_48 = all_4_53
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (174), (175) imply:
% 260.76/66.50 | (176) all_4_49 = all_4_53
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (176) implies:
% 260.76/66.50 | (177) all_4_49 = all_4_53
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (172), (173) imply:
% 260.76/66.50 | (178) all_4_50 = n8
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (173), (177) imply:
% 260.76/66.50 | (179) all_4_50 = all_4_53
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (178), (179) imply:
% 260.76/66.50 | (180) all_4_53 = n8
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (175), (180) imply:
% 260.76/66.50 | (181) all_4_48 = n8
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (90), (172), (181) imply:
% 260.76/66.50 | (182) sum(n8, n8) = all_4_92
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (93), (178), (180) imply:
% 260.76/66.50 | (183) sum(n8, n8) = all_4_93
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n5, all_4_92, n8, n8, simplifying with
% 260.76/66.50 | (30), (182) gives:
% 260.76/66.50 | (184) all_4_92 = n5
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_93, all_4_92, n8, n8, simplifying
% 260.76/66.50 | with (182), (183) gives:
% 260.76/66.50 | (185) all_4_92 = all_4_93
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (184), (185) imply:
% 260.76/66.50 | (186) all_4_93 = n5
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (186) implies:
% 260.76/66.50 | (187) all_4_93 = n5
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (48), (184) imply:
% 260.76/66.50 | (188) pred(n5) = all_4_44
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (64), (187) imply:
% 260.76/66.50 | (189) pred(n5) = all_4_47
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (9), (184) imply:
% 260.76/66.50 | (190) succ(n5) = all_4_46
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (94), (187) imply:
% 260.76/66.50 | (191) succ(n5) = all_4_43
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with n6, all_4_43, n5, simplifying with (78),
% 260.76/66.50 | (191) gives:
% 260.76/66.50 | (192) all_4_43 = n6
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with all_4_46, all_4_43, n5, simplifying with
% 260.76/66.50 | (190), (191) gives:
% 260.76/66.50 | (193) all_4_43 = all_4_46
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with n4, all_4_44, n5, simplifying with (44),
% 260.76/66.50 | (188) gives:
% 260.76/66.50 | (194) all_4_44 = n4
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n5, simplifying with
% 260.76/66.50 | (188), (189) gives:
% 260.76/66.50 | (195) all_4_44 = all_4_47
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (192), (193) imply:
% 260.76/66.50 | (196) all_4_46 = n6
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (194), (195) imply:
% 260.76/66.50 | (197) all_4_47 = n4
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (77), (192), (194) imply:
% 260.76/66.50 | (198) sum(n4, n6) = all_4_42
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (15), (194), (196) imply:
% 260.76/66.50 | (199) sum(n4, n6) = all_4_40
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (43), (192), (197) imply:
% 260.76/66.50 | (200) sum(n4, n6) = all_4_41
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (63), (196), (197) imply:
% 260.76/66.50 | (201) sum(n4, n6) = all_4_45
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n10, all_4_41, n6, n4, simplifying with
% 260.76/66.50 | (7), (200) gives:
% 260.76/66.50 | (202) all_4_41 = n10
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_42, all_4_41, n6, n4, simplifying
% 260.76/66.50 | with (198), (200) gives:
% 260.76/66.50 | (203) all_4_41 = all_4_42
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_41, all_4_40, n6, n4, simplifying
% 260.76/66.50 | with (199), (200) gives:
% 260.76/66.50 | (204) all_4_40 = all_4_41
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_45, all_4_40, n6, n4, simplifying
% 260.76/66.50 | with (199), (201) gives:
% 260.76/66.50 | (205) all_4_40 = all_4_45
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (204), (205) imply:
% 260.76/66.50 | (206) all_4_41 = all_4_45
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (206) implies:
% 260.76/66.50 | (207) all_4_41 = all_4_45
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (202), (203) imply:
% 260.76/66.50 | (208) all_4_42 = n10
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (203), (207) imply:
% 260.76/66.50 | (209) all_4_42 = all_4_45
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (208), (209) imply:
% 260.76/66.50 | (210) all_4_45 = n10
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (210) implies:
% 260.76/66.50 | (211) all_4_45 = n10
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (205), (211) imply:
% 260.76/66.50 | (212) all_4_40 = n10
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (68), (202), (212) imply:
% 260.76/66.50 | (213) sum(n10, n10) = all_4_90
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (73), (208), (211) imply:
% 260.76/66.50 | (214) sum(n10, n10) = all_4_91
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n9, all_4_90, n10, n10, simplifying with
% 260.76/66.50 | (42), (213) gives:
% 260.76/66.50 | (215) all_4_90 = n9
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_91, all_4_90, n10, n10, simplifying
% 260.76/66.50 | with (213), (214) gives:
% 260.76/66.50 | (216) all_4_90 = all_4_91
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (215), (216) imply:
% 260.76/66.50 | (217) all_4_91 = n9
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (217) implies:
% 260.76/66.50 | (218) all_4_91 = n9
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (84), (215) imply:
% 260.76/66.50 | (219) pred(n9) = all_4_36
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (46), (218) imply:
% 260.76/66.50 | (220) pred(n9) = all_4_39
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (34), (215) imply:
% 260.76/66.50 | (221) succ(n9) = all_4_38
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (6), (218) imply:
% 260.76/66.50 | (222) succ(n9) = all_4_35
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with n10, all_4_35, n9, simplifying with (18),
% 260.76/66.50 | (222) gives:
% 260.76/66.50 | (223) all_4_35 = n10
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (51) with all_4_38, all_4_35, n9, simplifying with
% 260.76/66.50 | (221), (222) gives:
% 260.76/66.50 | (224) all_4_35 = all_4_38
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with n8, all_4_36, n9, simplifying with (54),
% 260.76/66.50 | (219) gives:
% 260.76/66.50 | (225) all_4_36 = n8
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n9, simplifying with
% 260.76/66.50 | (219), (220) gives:
% 260.76/66.50 | (226) all_4_36 = all_4_39
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (223), (224) imply:
% 260.76/66.50 | (227) all_4_38 = n10
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (225), (226) imply:
% 260.76/66.50 | (228) all_4_39 = n8
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (62), (223), (225) imply:
% 260.76/66.50 | (229) sum(n8, n10) = all_4_34
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (88), (225), (227) imply:
% 260.76/66.50 | (230) sum(n8, n10) = all_4_32
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (70), (223), (228) imply:
% 260.76/66.50 | (231) sum(n8, n10) = all_4_33
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (74), (227), (228) imply:
% 260.76/66.50 | (232) sum(n8, n10) = all_4_37
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n7, all_4_33, n10, n8, simplifying with
% 260.76/66.50 | (37), (231) gives:
% 260.76/66.50 | (233) all_4_33 = n7
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_34, all_4_33, n10, n8, simplifying
% 260.76/66.50 | with (229), (231) gives:
% 260.76/66.50 | (234) all_4_33 = all_4_34
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_33, all_4_32, n10, n8, simplifying
% 260.76/66.50 | with (230), (231) gives:
% 260.76/66.50 | (235) all_4_32 = all_4_33
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_37, all_4_32, n10, n8, simplifying
% 260.76/66.50 | with (230), (232) gives:
% 260.76/66.50 | (236) all_4_32 = all_4_37
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (235), (236) imply:
% 260.76/66.50 | (237) all_4_33 = all_4_37
% 260.76/66.50 |
% 260.76/66.50 | SIMP: (237) implies:
% 260.76/66.50 | (238) all_4_33 = all_4_37
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (233), (234) imply:
% 260.76/66.50 | (239) all_4_34 = n7
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (234), (238) imply:
% 260.76/66.50 | (240) all_4_34 = all_4_37
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (239), (240) imply:
% 260.76/66.50 | (241) all_4_37 = n7
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (236), (241) imply:
% 260.76/66.50 | (242) all_4_32 = n7
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (40), (233), (242) imply:
% 260.76/66.50 | (243) sum(n7, n7) = all_4_88
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (29), (239), (241) imply:
% 260.76/66.50 | (244) sum(n7, n7) = all_4_89
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with n3, all_4_88, n7, n7, simplifying with
% 260.76/66.50 | (101), (243) gives:
% 260.76/66.50 | (245) all_4_88 = n3
% 260.76/66.50 |
% 260.76/66.50 | GROUND_INST: instantiating (71) with all_4_89, all_4_88, n7, n7, simplifying
% 260.76/66.50 | with (243), (244) gives:
% 260.76/66.50 | (246) all_4_88 = all_4_89
% 260.76/66.50 |
% 260.76/66.50 | COMBINE_EQS: (245), (246) imply:
% 260.76/66.50 | (247) all_4_89 = n3
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (35), (245) imply:
% 260.76/66.50 | (248) pred(n3) = all_4_28
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (47), (247) imply:
% 260.76/66.50 | (249) pred(n3) = all_4_31
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (59), (245) imply:
% 260.76/66.50 | (250) succ(n3) = all_4_30
% 260.76/66.50 |
% 260.76/66.50 | REDUCE: (12), (247) imply:
% 260.76/66.50 | (251) succ(n3) = all_4_27
% 260.76/66.50 |
% 260.76/66.51 | GROUND_INST: instantiating (51) with n4, all_4_27, n3, simplifying with (55),
% 260.76/66.51 | (251) gives:
% 260.76/66.51 | (252) all_4_27 = n4
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (51) with all_4_30, all_4_27, n3, simplifying with
% 260.76/66.51 | (250), (251) gives:
% 260.76/66.51 | (253) all_4_27 = all_4_30
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (91) with n2, all_4_28, n3, simplifying with (58),
% 260.76/66.51 | (248) gives:
% 260.76/66.51 | (254) all_4_28 = n2
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n3, simplifying with
% 260.76/66.51 | (248), (249) gives:
% 260.76/66.51 | (255) all_4_28 = all_4_31
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (252), (253) imply:
% 260.76/66.51 | (256) all_4_30 = n4
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (254), (255) imply:
% 260.76/66.51 | (257) all_4_31 = n2
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (1), (252), (254) imply:
% 260.76/66.51 | (258) sum(n2, n4) = all_4_26
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (16), (254), (256) imply:
% 260.76/66.51 | (259) sum(n2, n4) = all_4_24
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (26), (252), (257) imply:
% 260.76/66.51 | (260) sum(n2, n4) = all_4_25
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (36), (256), (257) imply:
% 260.76/66.51 | (261) sum(n2, n4) = all_4_29
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (71) with n6, all_4_25, n4, n2, simplifying with
% 260.76/66.51 | (24), (260) gives:
% 260.76/66.51 | (262) all_4_25 = n6
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (71) with all_4_26, all_4_25, n4, n2, simplifying
% 260.76/66.51 | with (258), (260) gives:
% 260.76/66.51 | (263) all_4_25 = all_4_26
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (71) with all_4_25, all_4_24, n4, n2, simplifying
% 260.76/66.51 | with (259), (260) gives:
% 260.76/66.51 | (264) all_4_24 = all_4_25
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (71) with all_4_29, all_4_24, n4, n2, simplifying
% 260.76/66.51 | with (259), (261) gives:
% 260.76/66.51 | (265) all_4_24 = all_4_29
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (264), (265) imply:
% 260.76/66.51 | (266) all_4_25 = all_4_29
% 260.76/66.51 |
% 260.76/66.51 | SIMP: (266) implies:
% 260.76/66.51 | (267) all_4_25 = all_4_29
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (262), (263) imply:
% 260.76/66.51 | (268) all_4_26 = n6
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (263), (267) imply:
% 260.76/66.51 | (269) all_4_26 = all_4_29
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (268), (269) imply:
% 260.76/66.51 | (270) all_4_29 = n6
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (265), (270) imply:
% 260.76/66.51 | (271) all_4_24 = n6
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (4), (262), (271) imply:
% 260.76/66.51 | (272) sum(n6, n6) = all_4_86
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (45), (268), (270) imply:
% 260.76/66.51 | (273) sum(n6, n6) = all_4_87
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (71) with n1, all_4_86, n6, n6, simplifying with
% 260.76/66.51 | (75), (272) gives:
% 260.76/66.51 | (274) all_4_86 = n1
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (71) with all_4_87, all_4_86, n6, n6, simplifying
% 260.76/66.51 | with (272), (273) gives:
% 260.76/66.51 | (275) all_4_86 = all_4_87
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (274), (275) imply:
% 260.76/66.51 | (276) all_4_87 = n1
% 260.76/66.51 |
% 260.76/66.51 | SIMP: (276) implies:
% 260.76/66.51 | (277) all_4_87 = n1
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (33), (274) imply:
% 260.76/66.51 | (278) pred(n1) = all_4_20
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (72), (277) imply:
% 260.76/66.51 | (279) pred(n1) = all_4_23
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (31), (274) imply:
% 260.76/66.51 | (280) succ(n1) = all_4_22
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (3), (277) imply:
% 260.76/66.51 | (281) succ(n1) = all_4_19
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (51) with n2, all_4_19, n1, simplifying with (5),
% 260.76/66.51 | (281) gives:
% 260.76/66.51 | (282) all_4_19 = n2
% 260.76/66.51 |
% 260.76/66.51 | REF_CLOSE: (8), (10), (11), (13), (17), (23), (39), (51), (60), (71), (81),
% 260.76/66.51 | (85), (91), (278), (279), (280), (281), (282) are inconsistent by
% 260.76/66.51 | sub-proof #173.
% 260.76/66.51 |
% 260.76/66.51 End of proof
% 260.76/66.51
% 260.76/66.51 Sub-proof #44 shows that the following formulas are inconsistent:
% 260.76/66.51 ----------------------------------------------------------------
% 260.76/66.51 (1) all_4_98 = n9
% 260.76/66.51 (2) succ(n9) = n10
% 260.76/66.51 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.76/66.51 (4) sum(all_4_71, all_4_70) = all_4_69
% 260.76/66.51 (5) sum(n2, n4) = n6
% 260.76/66.51 (6) sum(all_4_63, all_4_59) = all_4_57
% 260.76/66.51 (7) sum(all_4_63, all_4_62) = all_4_61
% 260.76/66.51 (8) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.76/66.51 all_4_99)
% 260.76/66.51 (9) pred(all_4_99) = all_4_71
% 260.76/66.51 (10) sum(n8, n10) = n7
% 260.76/66.51 (11) sum(all_4_57, all_4_56) = all_4_94
% 260.76/66.51 (12) sum(n10, n10) = n9
% 260.76/66.51 (13) sum(all_4_65, all_4_64) = all_4_96
% 260.76/66.51 (14) sum(n10, n10) = all_4_99
% 260.76/66.51 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.76/66.51 | ~ (succ(v2) = v0))
% 260.76/66.51 (16) pred(all_4_97) = all_4_63
% 260.76/66.51 (17) succ(all_4_99) = all_4_67
% 260.76/66.51 (18) pred(n9) = n8
% 260.76/66.51 (19) succ(n3) = n4
% 260.76/66.51 (20) pred(all_4_96) = all_4_60
% 260.76/66.51 (21) succ(all_4_96) = all_4_62
% 260.76/66.51 (22) pred(n3) = n2
% 260.76/66.51 (23) sum(all_4_71, all_4_67) = all_4_65
% 260.76/66.51 (24) sum(all_4_60, all_4_59) = all_4_58
% 260.76/66.51 (25) sum(all_4_68, all_4_67) = all_4_66
% 260.76/66.51 (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.76/66.51 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.76/66.51 (27) sum(n6, n6) = n1
% 260.76/66.51 (28) sum(all_4_69, all_4_66) = all_4_97
% 260.76/66.51 (29) succ(all_4_98) = all_4_70
% 260.76/66.51 (30) sum(all_4_68, all_4_70) = all_4_64
% 260.76/66.51 (31) succ(all_4_97) = all_4_59
% 260.76/66.51 (32) sum(all_4_61, all_4_58) = all_4_95
% 260.76/66.51 (33) sum(n7, n7) = n3
% 260.76/66.51 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.76/66.51 | ~ (pred(v2) = v0))
% 260.76/66.51 (35) pred(all_4_98) = all_4_68
% 260.76/66.51
% 260.76/66.51 Begin of proof
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (26) with n9, all_4_99, n10, n10, simplifying with
% 260.76/66.51 | (12), (14) gives:
% 260.76/66.51 | (36) all_4_99 = n9
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (1), (35) imply:
% 260.76/66.51 | (37) pred(n9) = all_4_68
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (9), (36) imply:
% 260.76/66.51 | (38) pred(n9) = all_4_71
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (1), (29) imply:
% 260.76/66.51 | (39) succ(n9) = all_4_70
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (17), (36) imply:
% 260.76/66.51 | (40) succ(n9) = all_4_67
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (15) with n10, all_4_67, n9, simplifying with (2),
% 260.76/66.51 | (40) gives:
% 260.76/66.51 | (41) all_4_67 = n10
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (15) with all_4_70, all_4_67, n9, simplifying with
% 260.76/66.51 | (39), (40) gives:
% 260.76/66.51 | (42) all_4_67 = all_4_70
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (34) with n8, all_4_68, n9, simplifying with (18),
% 260.76/66.51 | (37) gives:
% 260.76/66.51 | (43) all_4_68 = n8
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (34) with all_4_71, all_4_68, n9, simplifying with
% 260.76/66.51 | (37), (38) gives:
% 260.76/66.51 | (44) all_4_68 = all_4_71
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (41), (42) imply:
% 260.76/66.51 | (45) all_4_70 = n10
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (43), (44) imply:
% 260.76/66.51 | (46) all_4_71 = n8
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (25), (41), (43) imply:
% 260.76/66.51 | (47) sum(n8, n10) = all_4_66
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (30), (43), (45) imply:
% 260.76/66.51 | (48) sum(n8, n10) = all_4_64
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (23), (41), (46) imply:
% 260.76/66.51 | (49) sum(n8, n10) = all_4_65
% 260.76/66.51 |
% 260.76/66.51 | REDUCE: (4), (45), (46) imply:
% 260.76/66.51 | (50) sum(n8, n10) = all_4_69
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (26) with n7, all_4_65, n10, n8, simplifying with
% 260.76/66.51 | (10), (49) gives:
% 260.76/66.51 | (51) all_4_65 = n7
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (26) with all_4_66, all_4_65, n10, n8, simplifying
% 260.76/66.51 | with (47), (49) gives:
% 260.76/66.51 | (52) all_4_65 = all_4_66
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (26) with all_4_66, all_4_64, n10, n8, simplifying
% 260.76/66.51 | with (47), (48) gives:
% 260.76/66.51 | (53) all_4_64 = all_4_66
% 260.76/66.51 |
% 260.76/66.51 | GROUND_INST: instantiating (26) with all_4_69, all_4_64, n10, n8, simplifying
% 260.76/66.51 | with (48), (50) gives:
% 260.76/66.51 | (54) all_4_64 = all_4_69
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (53), (54) imply:
% 260.76/66.51 | (55) all_4_66 = all_4_69
% 260.76/66.51 |
% 260.76/66.51 | SIMP: (55) implies:
% 260.76/66.51 | (56) all_4_66 = all_4_69
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (51), (52) imply:
% 260.76/66.51 | (57) all_4_66 = n7
% 260.76/66.51 |
% 260.76/66.51 | SIMP: (57) implies:
% 260.76/66.51 | (58) all_4_66 = n7
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (56), (58) imply:
% 260.76/66.51 | (59) all_4_69 = n7
% 260.76/66.51 |
% 260.76/66.51 | COMBINE_EQS: (54), (59) imply:
% 260.76/66.51 | (60) all_4_64 = n7
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (13), (51), (60) imply:
% 260.89/66.51 | (61) sum(n7, n7) = all_4_96
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (28), (58), (59) imply:
% 260.89/66.51 | (62) sum(n7, n7) = all_4_97
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (26) with n3, all_4_96, n7, n7, simplifying with
% 260.89/66.51 | (33), (61) gives:
% 260.89/66.51 | (63) all_4_96 = n3
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (26) with all_4_97, all_4_96, n7, n7, simplifying
% 260.89/66.51 | with (61), (62) gives:
% 260.89/66.51 | (64) all_4_96 = all_4_97
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (63), (64) imply:
% 260.89/66.51 | (65) all_4_97 = n3
% 260.89/66.51 |
% 260.89/66.51 | SIMP: (65) implies:
% 260.89/66.51 | (66) all_4_97 = n3
% 260.89/66.51 |
% 260.89/66.51 | REF_CLOSE: (1), (3), (5), (6), (7), (8), (11), (15), (16), (19), (20), (21),
% 260.89/66.51 | (22), (24), (26), (27), (31), (32), (34), (36), (63), (66) are
% 260.89/66.51 | inconsistent by sub-proof #45.
% 260.89/66.51 |
% 260.89/66.51 End of proof
% 260.89/66.51
% 260.89/66.51 Sub-proof #45 shows that the following formulas are inconsistent:
% 260.89/66.51 ----------------------------------------------------------------
% 260.89/66.51 (1) all_4_98 = n9
% 260.89/66.51 (2) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.51 (3) sum(n2, n4) = n6
% 260.89/66.51 (4) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.51 (5) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.51 (6) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.51 all_4_99)
% 260.89/66.51 (7) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.51 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.89/66.51 ~ (succ(v2) = v0))
% 260.89/66.51 (9) pred(all_4_97) = all_4_63
% 260.89/66.51 (10) succ(n3) = n4
% 260.89/66.51 (11) pred(all_4_96) = all_4_60
% 260.89/66.51 (12) succ(all_4_96) = all_4_62
% 260.89/66.51 (13) pred(n3) = n2
% 260.89/66.51 (14) all_4_96 = n3
% 260.89/66.51 (15) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.51 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.51 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.51 (17) all_4_99 = n9
% 260.89/66.51 (18) sum(n6, n6) = n1
% 260.89/66.51 (19) all_4_97 = n3
% 260.89/66.51 (20) succ(all_4_97) = all_4_59
% 260.89/66.51 (21) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.51 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.51 | ~ (pred(v2) = v0))
% 260.89/66.51
% 260.89/66.51 Begin of proof
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (11), (14) imply:
% 260.89/66.51 | (23) pred(n3) = all_4_60
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (9), (19) imply:
% 260.89/66.51 | (24) pred(n3) = all_4_63
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (12), (14) imply:
% 260.89/66.51 | (25) succ(n3) = all_4_62
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (19), (20) imply:
% 260.89/66.51 | (26) succ(n3) = all_4_59
% 260.89/66.51 |
% 260.89/66.51 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (13), (14), (15),
% 260.89/66.51 | (16), (17), (18), (19), (21), (22), (23), (24), (25), (26) are
% 260.89/66.51 | inconsistent by sub-proof #46.
% 260.89/66.51 |
% 260.89/66.51 End of proof
% 260.89/66.51
% 260.89/66.51 Sub-proof #46 shows that the following formulas are inconsistent:
% 260.89/66.51 ----------------------------------------------------------------
% 260.89/66.51 (1) all_4_98 = n9
% 260.89/66.51 (2) succ(n3) = all_4_59
% 260.89/66.51 (3) succ(n3) = all_4_62
% 260.89/66.51 (4) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.51 (5) sum(n2, n4) = n6
% 260.89/66.51 (6) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.51 (7) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.51 (8) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.51 all_4_99)
% 260.89/66.51 (9) pred(n3) = all_4_63
% 260.89/66.51 (10) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.51 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.51 | ~ (succ(v2) = v0))
% 260.89/66.51 (12) succ(n3) = n4
% 260.89/66.51 (13) pred(n3) = n2
% 260.89/66.51 (14) pred(n3) = all_4_60
% 260.89/66.51 (15) all_4_96 = n3
% 260.89/66.51 (16) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.51 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.51 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.51 (18) all_4_99 = n9
% 260.89/66.51 (19) sum(n6, n6) = n1
% 260.89/66.51 (20) all_4_97 = n3
% 260.89/66.51 (21) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.51 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.51 | ~ (pred(v2) = v0))
% 260.89/66.51
% 260.89/66.51 Begin of proof
% 260.89/66.51 |
% 260.89/66.51 | BETA: splitting (8) gives:
% 260.89/66.51 |
% 260.89/66.51 | Case 1:
% 260.89/66.51 | |
% 260.89/66.51 | | (23) ~ (all_4_94 = all_4_95)
% 260.89/66.51 | |
% 260.89/66.51 | | GROUND_INST: instantiating (11) with n4, all_4_59, n3, simplifying with (2),
% 260.89/66.51 | | (12) gives:
% 260.89/66.51 | | (24) all_4_59 = n4
% 260.89/66.51 | |
% 260.89/66.51 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14), (16),
% 260.89/66.51 | | (17), (19), (21), (22), (23), (24) are inconsistent by sub-proof
% 260.89/66.51 | | #99.
% 260.89/66.51 | |
% 260.89/66.51 | Case 2:
% 260.89/66.51 | |
% 260.89/66.51 | | (25) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.51 | |
% 260.89/66.51 | | REF_CLOSE: (1), (15), (18), (20), (25) are inconsistent by sub-proof #47.
% 260.89/66.51 | |
% 260.89/66.51 | End of split
% 260.89/66.51 |
% 260.89/66.51 End of proof
% 260.89/66.51
% 260.89/66.51 Sub-proof #47 shows that the following formulas are inconsistent:
% 260.89/66.51 ----------------------------------------------------------------
% 260.89/66.51 (1) all_4_98 = n9
% 260.89/66.51 (2) all_4_96 = n3
% 260.89/66.51 (3) all_4_99 = n9
% 260.89/66.51 (4) all_4_97 = n3
% 260.89/66.51 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.51
% 260.89/66.51 Begin of proof
% 260.89/66.51 |
% 260.89/66.51 | BETA: splitting (5) gives:
% 260.89/66.51 |
% 260.89/66.51 | Case 1:
% 260.89/66.51 | |
% 260.89/66.51 | | (6) ~ (all_4_96 = all_4_97)
% 260.89/66.51 | |
% 260.89/66.51 | | REDUCE: (2), (4), (6) imply:
% 260.89/66.51 | | (7) $false
% 260.89/66.51 | |
% 260.89/66.51 | | CLOSE: (7) is inconsistent.
% 260.89/66.51 | |
% 260.89/66.51 | Case 2:
% 260.89/66.51 | |
% 260.89/66.51 | | (8) ~ (all_4_98 = all_4_99)
% 260.89/66.51 | |
% 260.89/66.51 | | REDUCE: (1), (3), (8) imply:
% 260.89/66.51 | | (9) $false
% 260.89/66.51 | |
% 260.89/66.51 | | CLOSE: (9) is inconsistent.
% 260.89/66.51 | |
% 260.89/66.51 | End of split
% 260.89/66.51 |
% 260.89/66.51 End of proof
% 260.89/66.51
% 260.89/66.51 Sub-proof #48 shows that the following formulas are inconsistent:
% 260.89/66.51 ----------------------------------------------------------------
% 260.89/66.51 (1) all_4_99 = n0
% 260.89/66.51 (2) succ(n0) = all_4_70
% 260.89/66.51 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.51 (4) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.51 (5) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.51 (6) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.51 (7) all_4_97 = n0
% 260.89/66.51 (8) succ(n0) = all_4_67
% 260.89/66.51 (9) sum(n10, n1) = n0
% 260.89/66.51 (10) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.51 all_4_99)
% 260.89/66.51 (11) all_4_98 = n0
% 260.89/66.51 (12) succ(n0) = n1
% 260.89/66.51 (13) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.51 (14) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.51 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.51 | ~ (succ(v2) = v0))
% 260.89/66.51 (16) pred(all_4_97) = all_4_63
% 260.89/66.51 (17) pred(all_4_96) = all_4_60
% 260.89/66.51 (18) succ(all_4_96) = all_4_62
% 260.89/66.51 (19) pred(n0) = all_4_71
% 260.89/66.51 (20) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.51 (21) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.51 (22) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.51 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.51 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.51 (24) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.51 (25) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.51 (26) succ(all_4_97) = all_4_59
% 260.89/66.51 (27) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.51 (28) pred(n0) = all_4_68
% 260.89/66.51 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.51 | ~ (pred(v2) = v0))
% 260.89/66.51 (30) all_4_96 = n0
% 260.89/66.51 (31) sum(n0, n0) = all_4_97
% 260.89/66.51 (32) pred(n0) = n10
% 260.89/66.51
% 260.89/66.51 Begin of proof
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (17), (30) imply:
% 260.89/66.51 | (33) pred(n0) = all_4_60
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (7), (16) imply:
% 260.89/66.51 | (34) pred(n0) = all_4_63
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (18), (30) imply:
% 260.89/66.51 | (35) succ(n0) = all_4_62
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (7), (26) imply:
% 260.89/66.51 | (36) succ(n0) = all_4_59
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (7), (31) imply:
% 260.89/66.51 | (37) sum(n0, n0) = n0
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (15) with n1, all_4_59, n0, simplifying with (12),
% 260.89/66.51 | (36) gives:
% 260.89/66.51 | (38) all_4_59 = n1
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (15) with all_4_62, all_4_59, n0, simplifying with
% 260.89/66.51 | (35), (36) gives:
% 260.89/66.51 | (39) all_4_59 = all_4_62
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (29) with n10, all_4_60, n0, simplifying with (32),
% 260.89/66.51 | (33) gives:
% 260.89/66.51 | (40) all_4_60 = n10
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (29) with all_4_63, all_4_60, n0, simplifying with
% 260.89/66.51 | (33), (34) gives:
% 260.89/66.51 | (41) all_4_60 = all_4_63
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (38), (39) imply:
% 260.89/66.51 | (42) all_4_62 = n1
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (40), (41) imply:
% 260.89/66.51 | (43) all_4_63 = n10
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (21), (38), (40) imply:
% 260.89/66.51 | (44) sum(n10, n1) = all_4_58
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (3), (40), (42) imply:
% 260.89/66.51 | (45) sum(n10, n1) = all_4_56
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (5), (38), (43) imply:
% 260.89/66.51 | (46) sum(n10, n1) = all_4_57
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (6), (42), (43) imply:
% 260.89/66.51 | (47) sum(n10, n1) = all_4_61
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (23) with n0, all_4_57, n1, n10, simplifying with
% 260.89/66.51 | (9), (46) gives:
% 260.89/66.51 | (48) all_4_57 = n0
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (23) with all_4_58, all_4_57, n1, n10, simplifying
% 260.89/66.51 | with (44), (46) gives:
% 260.89/66.51 | (49) all_4_57 = all_4_58
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (23) with all_4_57, all_4_56, n1, n10, simplifying
% 260.89/66.51 | with (45), (46) gives:
% 260.89/66.51 | (50) all_4_56 = all_4_57
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (23) with all_4_61, all_4_56, n1, n10, simplifying
% 260.89/66.51 | with (45), (47) gives:
% 260.89/66.51 | (51) all_4_56 = all_4_61
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (50), (51) imply:
% 260.89/66.51 | (52) all_4_57 = all_4_61
% 260.89/66.51 |
% 260.89/66.51 | SIMP: (52) implies:
% 260.89/66.51 | (53) all_4_57 = all_4_61
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (48), (49) imply:
% 260.89/66.51 | (54) all_4_58 = n0
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (49), (53) imply:
% 260.89/66.51 | (55) all_4_58 = all_4_61
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (54), (55) imply:
% 260.89/66.51 | (56) all_4_61 = n0
% 260.89/66.51 |
% 260.89/66.51 | COMBINE_EQS: (51), (56) imply:
% 260.89/66.51 | (57) all_4_56 = n0
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (13), (48), (57) imply:
% 260.89/66.51 | (58) sum(n0, n0) = all_4_94
% 260.89/66.51 |
% 260.89/66.51 | REDUCE: (27), (54), (56) imply:
% 260.89/66.51 | (59) sum(n0, n0) = all_4_95
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (23) with n0, all_4_95, n0, n0, simplifying with
% 260.89/66.51 | (37), (59) gives:
% 260.89/66.51 | (60) all_4_95 = n0
% 260.89/66.51 |
% 260.89/66.51 | GROUND_INST: instantiating (23) with n0, all_4_94, n0, n0, simplifying with
% 260.89/66.51 | (37), (58) gives:
% 260.89/66.51 | (61) all_4_94 = n0
% 260.89/66.51 |
% 260.89/66.51 | REF_CLOSE: (1), (2), (4), (8), (9), (10), (11), (12), (14), (15), (19), (20),
% 260.89/66.51 | (22), (23), (24), (25), (28), (29), (32), (37), (60), (61) are
% 260.89/66.51 | inconsistent by sub-proof #49.
% 260.89/66.51 |
% 260.89/66.51 End of proof
% 260.89/66.51
% 260.89/66.51 Sub-proof #49 shows that the following formulas are inconsistent:
% 260.89/66.51 ----------------------------------------------------------------
% 260.89/66.51 (1) all_4_99 = n0
% 260.89/66.51 (2) succ(n0) = all_4_70
% 260.89/66.51 (3) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.51 (4) succ(n0) = all_4_67
% 260.89/66.51 (5) sum(n10, n1) = n0
% 260.89/66.51 (6) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.51 all_4_99)
% 260.89/66.51 (7) all_4_98 = n0
% 260.89/66.51 (8) succ(n0) = n1
% 260.89/66.51 (9) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.51 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.51 | ~ (succ(v2) = v0))
% 260.89/66.51 (11) all_4_95 = n0
% 260.89/66.51 (12) sum(n0, n0) = n0
% 260.89/66.51 (13) pred(n0) = all_4_71
% 260.89/66.51 (14) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.51 (15) all_4_94 = n0
% 260.89/66.51 (16) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.51 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.51 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.51 (18) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.51 (19) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.51 (20) pred(n0) = all_4_68
% 260.89/66.51 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.51 | ~ (pred(v2) = v0))
% 260.89/66.51 (22) pred(n0) = n10
% 260.89/66.51
% 260.89/66.51 Begin of proof
% 260.89/66.51 |
% 260.89/66.51 | BETA: splitting (6) gives:
% 260.89/66.51 |
% 260.89/66.51 | Case 1:
% 260.89/66.51 | |
% 260.89/66.51 | | (23) ~ (all_4_94 = all_4_95)
% 260.89/66.51 | |
% 260.89/66.51 | | REDUCE: (11), (15), (23) imply:
% 260.89/66.51 | | (24) $false
% 260.89/66.51 | |
% 260.89/66.51 | | CLOSE: (24) is inconsistent.
% 260.89/66.51 | |
% 260.89/66.51 | Case 2:
% 260.89/66.51 | |
% 260.89/66.51 | | (25) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.51 | |
% 260.89/66.51 | | BETA: splitting (25) gives:
% 260.89/66.51 | |
% 260.89/66.51 | | Case 1:
% 260.89/66.51 | | |
% 260.89/66.51 | | | (26) ~ (all_4_96 = all_4_97)
% 260.89/66.51 | | |
% 260.89/66.51 | | | GROUND_INST: instantiating (10) with n1, all_4_67, n0, simplifying with
% 260.89/66.51 | | | (4), (8) gives:
% 260.89/66.51 | | | (27) all_4_67 = n1
% 260.89/66.51 | | |
% 260.89/66.51 | | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (12), (13), (14), (16), (17),
% 260.89/66.51 | | | (18), (19), (20), (21), (22), (26), (27) are inconsistent by
% 260.89/66.51 | | | sub-proof #95.
% 260.89/66.51 | | |
% 260.89/66.51 | | Case 2:
% 260.89/66.51 | | |
% 260.89/66.51 | | | (28) ~ (all_4_98 = all_4_99)
% 260.89/66.51 | | |
% 260.89/66.51 | | | REDUCE: (1), (7), (28) imply:
% 260.89/66.51 | | | (29) $false
% 260.89/66.51 | | |
% 260.89/66.51 | | | CLOSE: (29) is inconsistent.
% 260.89/66.51 | | |
% 260.89/66.51 | | End of split
% 260.89/66.51 | |
% 260.89/66.51 | End of split
% 260.89/66.51 |
% 260.89/66.51 End of proof
% 260.89/66.51
% 260.89/66.51 Sub-proof #50 shows that the following formulas are inconsistent:
% 260.89/66.51 ----------------------------------------------------------------
% 260.89/66.51 (1) succ(all_4_95) = all_4_51
% 260.89/66.51 (2) succ(n1) = n2
% 260.89/66.51 (3) sum(n2, n2) = n4
% 260.89/66.51 (4) pred(all_4_95) = all_4_55
% 260.89/66.51 (5) all_4_98 = n9
% 260.89/66.51 (6) succ(n9) = n10
% 260.89/66.51 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.51 (8) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.51 (9) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.51 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.51 (11) sum(n2, n4) = n6
% 260.89/66.51 (12) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.51 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.51 (14) succ(all_4_94) = all_4_54
% 260.89/66.51 (15) pred(all_4_99) = all_4_71
% 260.89/66.51 (16) sum(n8, n10) = n7
% 260.89/66.51 (17) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.51 (18) sum(n0, n2) = n2
% 260.89/66.51 (19) sum(n10, n10) = n9
% 260.89/66.51 (20) ~ (all_4_92 = all_4_93)
% 260.89/66.51 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.51 (22) sum(n10, n10) = all_4_99
% 260.89/66.51 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.51 | ~ (succ(v2) = v0))
% 260.89/66.51 (24) pred(all_4_97) = all_4_63
% 260.89/66.51 (25) succ(all_4_99) = all_4_67
% 260.89/66.51 (26) pred(n9) = n8
% 260.89/66.51 (27) succ(n3) = n4
% 260.89/66.51 (28) pred(all_4_96) = all_4_60
% 260.89/66.51 (29) succ(all_4_96) = all_4_62
% 260.89/66.51 (30) pred(n3) = n2
% 260.89/66.51 (31) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.51 (32) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.51 (33) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.51 (34) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.51 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.51 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.51 (36) sum(n6, n6) = n1
% 260.89/66.51 (37) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.51 (38) succ(all_4_98) = all_4_70
% 260.89/66.51 (39) pred(n1) = n0
% 260.89/66.51 (40) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.51 (41) succ(all_4_97) = all_4_59
% 260.89/66.51 (42) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.51 (43) sum(n7, n7) = n3
% 260.89/66.51 (44) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.51 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.51 | ~ (pred(v2) = v0))
% 260.89/66.51 (46) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.51 (47) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.51 (48) pred(all_4_98) = all_4_68
% 260.89/66.51 (49) pred(all_4_94) = all_4_52
% 260.89/66.51
% 260.89/66.51 Begin of proof
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n9, all_4_99, n10, n10, simplifying with
% 260.89/66.52 | (19), (22) gives:
% 260.89/66.52 | (50) all_4_99 = n9
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (5), (48) imply:
% 260.89/66.52 | (51) pred(n9) = all_4_68
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (15), (50) imply:
% 260.89/66.52 | (52) pred(n9) = all_4_71
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (5), (38) imply:
% 260.89/66.52 | (53) succ(n9) = all_4_70
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (25), (50) imply:
% 260.89/66.52 | (54) succ(n9) = all_4_67
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (23) with n10, all_4_67, n9, simplifying with (6),
% 260.89/66.52 | (54) gives:
% 260.89/66.52 | (55) all_4_67 = n10
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n9, simplifying with
% 260.89/66.52 | (53), (54) gives:
% 260.89/66.52 | (56) all_4_67 = all_4_70
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (45) with n8, all_4_68, n9, simplifying with (26),
% 260.89/66.52 | (51) gives:
% 260.89/66.52 | (57) all_4_68 = n8
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (45) with all_4_71, all_4_68, n9, simplifying with
% 260.89/66.52 | (51), (52) gives:
% 260.89/66.52 | (58) all_4_68 = all_4_71
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (55), (56) imply:
% 260.89/66.52 | (59) all_4_70 = n10
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (57), (58) imply:
% 260.89/66.52 | (60) all_4_71 = n8
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (34), (55), (57) imply:
% 260.89/66.52 | (61) sum(n8, n10) = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (40), (57), (59) imply:
% 260.89/66.52 | (62) sum(n8, n10) = all_4_64
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (32), (55), (60) imply:
% 260.89/66.52 | (63) sum(n8, n10) = all_4_65
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (9), (59), (60) imply:
% 260.89/66.52 | (64) sum(n8, n10) = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n7, all_4_65, n10, n8, simplifying with
% 260.89/66.52 | (16), (63) gives:
% 260.89/66.52 | (65) all_4_65 = n7
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_66, all_4_65, n10, n8, simplifying
% 260.89/66.52 | with (61), (63) gives:
% 260.89/66.52 | (66) all_4_65 = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_66, all_4_64, n10, n8, simplifying
% 260.89/66.52 | with (61), (62) gives:
% 260.89/66.52 | (67) all_4_64 = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_69, all_4_64, n10, n8, simplifying
% 260.89/66.52 | with (62), (64) gives:
% 260.89/66.52 | (68) all_4_64 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (67), (68) imply:
% 260.89/66.52 | (69) all_4_66 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (69) implies:
% 260.89/66.52 | (70) all_4_66 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (65), (66) imply:
% 260.89/66.52 | (71) all_4_66 = n7
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (71) implies:
% 260.89/66.52 | (72) all_4_66 = n7
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (70), (72) imply:
% 260.89/66.52 | (73) all_4_69 = n7
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (68), (73) imply:
% 260.89/66.52 | (74) all_4_64 = n7
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (21), (65), (74) imply:
% 260.89/66.52 | (75) sum(n7, n7) = all_4_96
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (37), (72), (73) imply:
% 260.89/66.52 | (76) sum(n7, n7) = all_4_97
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n3, all_4_96, n7, n7, simplifying with
% 260.89/66.52 | (43), (75) gives:
% 260.89/66.52 | (77) all_4_96 = n3
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_97, all_4_96, n7, n7, simplifying
% 260.89/66.52 | with (75), (76) gives:
% 260.89/66.52 | (78) all_4_96 = all_4_97
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (77), (78) imply:
% 260.89/66.52 | (79) all_4_97 = n3
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (79) implies:
% 260.89/66.52 | (80) all_4_97 = n3
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (28), (77) imply:
% 260.89/66.52 | (81) pred(n3) = all_4_60
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (24), (80) imply:
% 260.89/66.52 | (82) pred(n3) = all_4_63
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (29), (77) imply:
% 260.89/66.52 | (83) succ(n3) = all_4_62
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (41), (80) imply:
% 260.89/66.52 | (84) succ(n3) = all_4_59
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (23) with n4, all_4_59, n3, simplifying with (27),
% 260.89/66.52 | (84) gives:
% 260.89/66.52 | (85) all_4_59 = n4
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n3, simplifying with
% 260.89/66.52 | (83), (84) gives:
% 260.89/66.52 | (86) all_4_59 = all_4_62
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (45) with n2, all_4_60, n3, simplifying with (30),
% 260.89/66.52 | (81) gives:
% 260.89/66.52 | (87) all_4_60 = n2
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (45) with all_4_63, all_4_60, n3, simplifying with
% 260.89/66.52 | (81), (82) gives:
% 260.89/66.52 | (88) all_4_60 = all_4_63
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (85), (86) imply:
% 260.89/66.52 | (89) all_4_62 = n4
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (87), (88) imply:
% 260.89/66.52 | (90) all_4_63 = n2
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (33), (85), (87) imply:
% 260.89/66.52 | (91) sum(n2, n4) = all_4_58
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (8), (87), (89) imply:
% 260.89/66.52 | (92) sum(n2, n4) = all_4_56
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (12), (85), (90) imply:
% 260.89/66.52 | (93) sum(n2, n4) = all_4_57
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (13), (89), (90) imply:
% 260.89/66.52 | (94) sum(n2, n4) = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n6, all_4_57, n4, n2, simplifying with
% 260.89/66.52 | (11), (93) gives:
% 260.89/66.52 | (95) all_4_57 = n6
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_58, all_4_57, n4, n2, simplifying
% 260.89/66.52 | with (91), (93) gives:
% 260.89/66.52 | (96) all_4_57 = all_4_58
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_57, all_4_56, n4, n2, simplifying
% 260.89/66.52 | with (92), (93) gives:
% 260.89/66.52 | (97) all_4_56 = all_4_57
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_61, all_4_56, n4, n2, simplifying
% 260.89/66.52 | with (92), (94) gives:
% 260.89/66.52 | (98) all_4_56 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (97), (98) imply:
% 260.89/66.52 | (99) all_4_57 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (99) implies:
% 260.89/66.52 | (100) all_4_57 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (95), (96) imply:
% 260.89/66.52 | (101) all_4_58 = n6
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (96), (100) imply:
% 260.89/66.52 | (102) all_4_58 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (101), (102) imply:
% 260.89/66.52 | (103) all_4_61 = n6
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (98), (103) imply:
% 260.89/66.52 | (104) all_4_56 = n6
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (17), (95), (104) imply:
% 260.89/66.52 | (105) sum(n6, n6) = all_4_94
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (42), (101), (103) imply:
% 260.89/66.52 | (106) sum(n6, n6) = all_4_95
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n1, all_4_94, n6, n6, simplifying with
% 260.89/66.52 | (36), (105) gives:
% 260.89/66.52 | (107) all_4_94 = n1
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_95, all_4_94, n6, n6, simplifying
% 260.89/66.52 | with (105), (106) gives:
% 260.89/66.52 | (108) all_4_94 = all_4_95
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (107), (108) imply:
% 260.89/66.52 | (109) all_4_95 = n1
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (49), (107) imply:
% 260.89/66.52 | (110) pred(n1) = all_4_52
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (4), (109) imply:
% 260.89/66.52 | (111) pred(n1) = all_4_55
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (14), (107) imply:
% 260.89/66.52 | (112) succ(n1) = all_4_54
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (1), (109) imply:
% 260.89/66.52 | (113) succ(n1) = all_4_51
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (23) with n2, all_4_51, n1, simplifying with (2),
% 260.89/66.52 | (113) gives:
% 260.89/66.52 | (114) all_4_51 = n2
% 260.89/66.52 |
% 260.89/66.52 | REF_CLOSE: (3), (7), (10), (18), (20), (23), (31), (35), (39), (44), (45),
% 260.89/66.52 | (46), (47), (110), (111), (112), (113), (114) are inconsistent by
% 260.89/66.52 | sub-proof #107.
% 260.89/66.52 |
% 260.89/66.52 End of proof
% 260.89/66.52
% 260.89/66.52 Sub-proof #51 shows that the following formulas are inconsistent:
% 260.89/66.52 ----------------------------------------------------------------
% 260.89/66.52 (1) succ(all_4_95) = all_4_51
% 260.89/66.52 (2) all_4_99 = n0
% 260.89/66.52 (3) pred(all_4_95) = all_4_55
% 260.89/66.52 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.52 (5) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.52 (6) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.52 (7) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.52 (8) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.52 (9) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.52 (10) succ(all_4_94) = all_4_54
% 260.89/66.52 (11) sum(n10, n1) = n0
% 260.89/66.52 (12) pred(all_4_99) = all_4_71
% 260.89/66.52 (13) all_4_98 = n0
% 260.89/66.52 (14) succ(n0) = n1
% 260.89/66.52 (15) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.52 (16) ~ (all_4_92 = all_4_93)
% 260.89/66.52 (17) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.52 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.52 | ~ (succ(v2) = v0))
% 260.89/66.52 (19) pred(all_4_97) = all_4_63
% 260.89/66.52 (20) succ(all_4_99) = all_4_67
% 260.89/66.52 (21) pred(all_4_96) = all_4_60
% 260.89/66.52 (22) succ(all_4_96) = all_4_62
% 260.89/66.52 (23) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.52 (24) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.52 (25) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.52 (26) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.52 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.52 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.52 (28) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.52 (29) sum(n0, n0) = all_4_99
% 260.89/66.52 (30) succ(all_4_98) = all_4_70
% 260.89/66.52 (31) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.52 (32) succ(all_4_97) = all_4_59
% 260.89/66.52 (33) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.52 (34) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.52 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.52 | ~ (pred(v2) = v0))
% 260.89/66.52 (36) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.52 (37) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.52 (38) pred(all_4_98) = all_4_68
% 260.89/66.52 (39) pred(n0) = n10
% 260.89/66.52 (40) pred(all_4_94) = all_4_52
% 260.89/66.52
% 260.89/66.52 Begin of proof
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (13), (38) imply:
% 260.89/66.52 | (41) pred(n0) = all_4_68
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (2), (12) imply:
% 260.89/66.52 | (42) pred(n0) = all_4_71
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (13), (30) imply:
% 260.89/66.52 | (43) succ(n0) = all_4_70
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (2), (20) imply:
% 260.89/66.52 | (44) succ(n0) = all_4_67
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (2), (29) imply:
% 260.89/66.52 | (45) sum(n0, n0) = n0
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (18) with n1, all_4_67, n0, simplifying with (14),
% 260.89/66.52 | (44) gives:
% 260.89/66.52 | (46) all_4_67 = n1
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (18) with all_4_70, all_4_67, n0, simplifying with
% 260.89/66.52 | (43), (44) gives:
% 260.89/66.52 | (47) all_4_67 = all_4_70
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n10, all_4_68, n0, simplifying with (39),
% 260.89/66.52 | (41) gives:
% 260.89/66.52 | (48) all_4_68 = n10
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_71, all_4_68, n0, simplifying with
% 260.89/66.52 | (41), (42) gives:
% 260.89/66.52 | (49) all_4_68 = all_4_71
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (46), (47) imply:
% 260.89/66.52 | (50) all_4_70 = n1
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (48), (49) imply:
% 260.89/66.52 | (51) all_4_71 = n10
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (26), (46), (48) imply:
% 260.89/66.52 | (52) sum(n10, n1) = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (31), (48), (50) imply:
% 260.89/66.52 | (53) sum(n10, n1) = all_4_64
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (24), (46), (51) imply:
% 260.89/66.52 | (54) sum(n10, n1) = all_4_65
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (6), (50), (51) imply:
% 260.89/66.52 | (55) sum(n10, n1) = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with n0, all_4_65, n1, n10, simplifying with
% 260.89/66.52 | (11), (54) gives:
% 260.89/66.52 | (56) all_4_65 = n0
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_66, all_4_65, n1, n10, simplifying
% 260.89/66.52 | with (52), (54) gives:
% 260.89/66.52 | (57) all_4_65 = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_66, all_4_64, n1, n10, simplifying
% 260.89/66.52 | with (52), (53) gives:
% 260.89/66.52 | (58) all_4_64 = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_69, all_4_64, n1, n10, simplifying
% 260.89/66.52 | with (53), (55) gives:
% 260.89/66.52 | (59) all_4_64 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (58), (59) imply:
% 260.89/66.52 | (60) all_4_66 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (60) implies:
% 260.89/66.52 | (61) all_4_66 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (56), (57) imply:
% 260.89/66.52 | (62) all_4_66 = n0
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (62) implies:
% 260.89/66.52 | (63) all_4_66 = n0
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (61), (63) imply:
% 260.89/66.52 | (64) all_4_69 = n0
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (59), (64) imply:
% 260.89/66.52 | (65) all_4_64 = n0
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (17), (56), (65) imply:
% 260.89/66.52 | (66) sum(n0, n0) = all_4_96
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (28), (63), (64) imply:
% 260.89/66.52 | (67) sum(n0, n0) = all_4_97
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with n0, all_4_96, n0, n0, simplifying with
% 260.89/66.52 | (45), (66) gives:
% 260.89/66.52 | (68) all_4_96 = n0
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_97, all_4_96, n0, n0, simplifying
% 260.89/66.52 | with (66), (67) gives:
% 260.89/66.52 | (69) all_4_96 = all_4_97
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (68), (69) imply:
% 260.89/66.52 | (70) all_4_97 = n0
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (70) implies:
% 260.89/66.52 | (71) all_4_97 = n0
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (21), (68) imply:
% 260.89/66.52 | (72) pred(n0) = all_4_60
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (19), (71) imply:
% 260.89/66.52 | (73) pred(n0) = all_4_63
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (22), (68) imply:
% 260.89/66.52 | (74) succ(n0) = all_4_62
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (32), (71) imply:
% 260.89/66.52 | (75) succ(n0) = all_4_59
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (18) with n1, all_4_59, n0, simplifying with (14),
% 260.89/66.52 | (75) gives:
% 260.89/66.52 | (76) all_4_59 = n1
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (18) with all_4_62, all_4_59, n0, simplifying with
% 260.89/66.52 | (74), (75) gives:
% 260.89/66.52 | (77) all_4_59 = all_4_62
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with n10, all_4_60, n0, simplifying with (39),
% 260.89/66.52 | (72) gives:
% 260.89/66.52 | (78) all_4_60 = n10
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (35) with all_4_63, all_4_60, n0, simplifying with
% 260.89/66.52 | (72), (73) gives:
% 260.89/66.52 | (79) all_4_60 = all_4_63
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (76), (77) imply:
% 260.89/66.52 | (80) all_4_62 = n1
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (78), (79) imply:
% 260.89/66.52 | (81) all_4_63 = n10
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (25), (76), (78) imply:
% 260.89/66.52 | (82) sum(n10, n1) = all_4_58
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (5), (78), (80) imply:
% 260.89/66.52 | (83) sum(n10, n1) = all_4_56
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (8), (76), (81) imply:
% 260.89/66.52 | (84) sum(n10, n1) = all_4_57
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (9), (80), (81) imply:
% 260.89/66.52 | (85) sum(n10, n1) = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with n0, all_4_57, n1, n10, simplifying with
% 260.89/66.52 | (11), (84) gives:
% 260.89/66.52 | (86) all_4_57 = n0
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_58, all_4_57, n1, n10, simplifying
% 260.89/66.52 | with (82), (84) gives:
% 260.89/66.52 | (87) all_4_57 = all_4_58
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_57, all_4_56, n1, n10, simplifying
% 260.89/66.52 | with (83), (84) gives:
% 260.89/66.52 | (88) all_4_56 = all_4_57
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_61, all_4_56, n1, n10, simplifying
% 260.89/66.52 | with (83), (85) gives:
% 260.89/66.52 | (89) all_4_56 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (88), (89) imply:
% 260.89/66.52 | (90) all_4_57 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (90) implies:
% 260.89/66.52 | (91) all_4_57 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (86), (87) imply:
% 260.89/66.52 | (92) all_4_58 = n0
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (87), (91) imply:
% 260.89/66.52 | (93) all_4_58 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (92), (93) imply:
% 260.89/66.52 | (94) all_4_61 = n0
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (89), (94) imply:
% 260.89/66.52 | (95) all_4_56 = n0
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (15), (86), (95) imply:
% 260.89/66.52 | (96) sum(n0, n0) = all_4_94
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (33), (92), (94) imply:
% 260.89/66.52 | (97) sum(n0, n0) = all_4_95
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with n0, all_4_94, n0, n0, simplifying with
% 260.89/66.52 | (45), (96) gives:
% 260.89/66.52 | (98) all_4_94 = n0
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (27) with all_4_95, all_4_94, n0, n0, simplifying
% 260.89/66.52 | with (96), (97) gives:
% 260.89/66.52 | (99) all_4_94 = all_4_95
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (98), (99) imply:
% 260.89/66.52 | (100) all_4_95 = n0
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (40), (98) imply:
% 260.89/66.52 | (101) pred(n0) = all_4_52
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (3), (100) imply:
% 260.89/66.52 | (102) pred(n0) = all_4_55
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (10), (98) imply:
% 260.89/66.52 | (103) succ(n0) = all_4_54
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (1), (100) imply:
% 260.89/66.52 | (104) succ(n0) = all_4_51
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (18) with n1, all_4_51, n0, simplifying with (14),
% 260.89/66.52 | (104) gives:
% 260.89/66.52 | (105) all_4_51 = n1
% 260.89/66.52 |
% 260.89/66.52 | REF_CLOSE: (4), (7), (11), (16), (18), (23), (27), (34), (35), (36), (37),
% 260.89/66.52 | (39), (45), (101), (102), (103), (104), (105) are inconsistent by
% 260.89/66.52 | sub-proof #109.
% 260.89/66.52 |
% 260.89/66.52 End of proof
% 260.89/66.52
% 260.89/66.52 Sub-proof #52 shows that the following formulas are inconsistent:
% 260.89/66.52 ----------------------------------------------------------------
% 260.89/66.52 (1) succ(all_4_95) = all_4_51
% 260.89/66.52 (2) pred(all_4_95) = all_4_55
% 260.89/66.52 (3) sum(n9, n0) = n9
% 260.89/66.52 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.52 (5) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.52 (6) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.52 (7) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.52 (8) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.52 (9) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.52 (10) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.52 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.52 (11) succ(all_4_94) = all_4_54
% 260.89/66.52 (12) pred(n8) = n7
% 260.89/66.52 (13) pred(all_4_99) = all_4_71
% 260.89/66.52 (14) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.52 (15) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.52 (16) succ(n10) = n0
% 260.89/66.52 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.52 | ~ (succ(v2) = v0))
% 260.89/66.52 (18) pred(all_4_97) = all_4_63
% 260.89/66.52 (19) succ(all_4_99) = all_4_67
% 260.89/66.52 (20) pred(all_4_96) = all_4_60
% 260.89/66.52 (21) succ(all_4_96) = all_4_62
% 260.89/66.52 (22) all_4_98 = n2
% 260.89/66.52 (23) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.52 (24) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.52 (25) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.52 (26) sum(n5, n5) = n10
% 260.89/66.52 (27) succ(n2) = n3
% 260.89/66.52 (28) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.52 (29) succ(n8) = n9
% 260.89/66.52 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.52 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.52 (31) sum(n9, n9) = n7
% 260.89/66.52 (32) pred(n10) = n9
% 260.89/66.52 (33) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.52 (34) sum(n7, n9) = n5
% 260.89/66.52 (35) all_4_99 = n2
% 260.89/66.52 (36) pred(n2) = n1
% 260.89/66.52 (37) succ(all_4_98) = all_4_70
% 260.89/66.52 (38) sum(n4, n4) = n8
% 260.89/66.52 (39) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.52 (40) succ(all_4_97) = all_4_59
% 260.89/66.52 (41) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.52 (42) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.52 (43) sum(n1, n3) = n4
% 260.89/66.52 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.52 | ~ (pred(v2) = v0))
% 260.89/66.52 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.52 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.52 (47) pred(all_4_98) = all_4_68
% 260.89/66.52 (48) pred(all_4_94) = all_4_52
% 260.89/66.52
% 260.89/66.52 Begin of proof
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (22), (47) imply:
% 260.89/66.52 | (49) pred(n2) = all_4_68
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (13), (35) imply:
% 260.89/66.52 | (50) pred(n2) = all_4_71
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (22), (37) imply:
% 260.89/66.52 | (51) succ(n2) = all_4_70
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (19), (35) imply:
% 260.89/66.52 | (52) succ(n2) = all_4_67
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (17) with n3, all_4_67, n2, simplifying with (27),
% 260.89/66.52 | (52) gives:
% 260.89/66.52 | (53) all_4_67 = n3
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (17) with all_4_70, all_4_67, n2, simplifying with
% 260.89/66.52 | (51), (52) gives:
% 260.89/66.52 | (54) all_4_67 = all_4_70
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (44) with n1, all_4_68, n2, simplifying with (36),
% 260.89/66.52 | (49) gives:
% 260.89/66.52 | (55) all_4_68 = n1
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n2, simplifying with
% 260.89/66.52 | (49), (50) gives:
% 260.89/66.52 | (56) all_4_68 = all_4_71
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (53), (54) imply:
% 260.89/66.52 | (57) all_4_70 = n3
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (55), (56) imply:
% 260.89/66.52 | (58) all_4_71 = n1
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (28), (53), (55) imply:
% 260.89/66.52 | (59) sum(n1, n3) = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (39), (55), (57) imply:
% 260.89/66.52 | (60) sum(n1, n3) = all_4_64
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (24), (53), (58) imply:
% 260.89/66.52 | (61) sum(n1, n3) = all_4_65
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (6), (57), (58) imply:
% 260.89/66.52 | (62) sum(n1, n3) = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with n4, all_4_65, n3, n1, simplifying with
% 260.89/66.52 | (43), (61) gives:
% 260.89/66.52 | (63) all_4_65 = n4
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_66, all_4_65, n3, n1, simplifying
% 260.89/66.52 | with (59), (61) gives:
% 260.89/66.52 | (64) all_4_65 = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_66, all_4_64, n3, n1, simplifying
% 260.89/66.52 | with (59), (60) gives:
% 260.89/66.52 | (65) all_4_64 = all_4_66
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_69, all_4_64, n3, n1, simplifying
% 260.89/66.52 | with (60), (62) gives:
% 260.89/66.52 | (66) all_4_64 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (65), (66) imply:
% 260.89/66.52 | (67) all_4_66 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (67) implies:
% 260.89/66.52 | (68) all_4_66 = all_4_69
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (63), (64) imply:
% 260.89/66.52 | (69) all_4_66 = n4
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (69) implies:
% 260.89/66.52 | (70) all_4_66 = n4
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (68), (70) imply:
% 260.89/66.52 | (71) all_4_69 = n4
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (66), (71) imply:
% 260.89/66.52 | (72) all_4_64 = n4
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (15), (63), (72) imply:
% 260.89/66.52 | (73) sum(n4, n4) = all_4_96
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (33), (70), (71) imply:
% 260.89/66.52 | (74) sum(n4, n4) = all_4_97
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with n8, all_4_96, n4, n4, simplifying with
% 260.89/66.52 | (38), (73) gives:
% 260.89/66.52 | (75) all_4_96 = n8
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_97, all_4_96, n4, n4, simplifying
% 260.89/66.52 | with (73), (74) gives:
% 260.89/66.52 | (76) all_4_96 = all_4_97
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (75), (76) imply:
% 260.89/66.52 | (77) all_4_97 = n8
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (77) implies:
% 260.89/66.52 | (78) all_4_97 = n8
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (20), (75) imply:
% 260.89/66.52 | (79) pred(n8) = all_4_60
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (18), (78) imply:
% 260.89/66.52 | (80) pred(n8) = all_4_63
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (21), (75) imply:
% 260.89/66.52 | (81) succ(n8) = all_4_62
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (40), (78) imply:
% 260.89/66.52 | (82) succ(n8) = all_4_59
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (17) with n9, all_4_59, n8, simplifying with (29),
% 260.89/66.52 | (82) gives:
% 260.89/66.52 | (83) all_4_59 = n9
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (17) with all_4_62, all_4_59, n8, simplifying with
% 260.89/66.52 | (81), (82) gives:
% 260.89/66.52 | (84) all_4_59 = all_4_62
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (44) with n7, all_4_60, n8, simplifying with (12),
% 260.89/66.52 | (79) gives:
% 260.89/66.52 | (85) all_4_60 = n7
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n8, simplifying with
% 260.89/66.52 | (79), (80) gives:
% 260.89/66.52 | (86) all_4_60 = all_4_63
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (83), (84) imply:
% 260.89/66.52 | (87) all_4_62 = n9
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (85), (86) imply:
% 260.89/66.52 | (88) all_4_63 = n7
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (25), (83), (85) imply:
% 260.89/66.52 | (89) sum(n7, n9) = all_4_58
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (5), (85), (87) imply:
% 260.89/66.52 | (90) sum(n7, n9) = all_4_56
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (8), (83), (88) imply:
% 260.89/66.52 | (91) sum(n7, n9) = all_4_57
% 260.89/66.52 |
% 260.89/66.52 | REDUCE: (9), (87), (88) imply:
% 260.89/66.52 | (92) sum(n7, n9) = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with n5, all_4_57, n9, n7, simplifying with
% 260.89/66.52 | (34), (91) gives:
% 260.89/66.52 | (93) all_4_57 = n5
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_58, all_4_57, n9, n7, simplifying
% 260.89/66.52 | with (89), (91) gives:
% 260.89/66.52 | (94) all_4_57 = all_4_58
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_57, all_4_56, n9, n7, simplifying
% 260.89/66.52 | with (90), (91) gives:
% 260.89/66.52 | (95) all_4_56 = all_4_57
% 260.89/66.52 |
% 260.89/66.52 | GROUND_INST: instantiating (30) with all_4_61, all_4_56, n9, n7, simplifying
% 260.89/66.52 | with (90), (92) gives:
% 260.89/66.52 | (96) all_4_56 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (95), (96) imply:
% 260.89/66.52 | (97) all_4_57 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | SIMP: (97) implies:
% 260.89/66.52 | (98) all_4_57 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (93), (94) imply:
% 260.89/66.52 | (99) all_4_58 = n5
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (94), (98) imply:
% 260.89/66.52 | (100) all_4_58 = all_4_61
% 260.89/66.52 |
% 260.89/66.52 | COMBINE_EQS: (99), (100) imply:
% 260.89/66.52 | (101) all_4_61 = n5
% 260.89/66.52 |
% 260.89/66.53 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 260.89/66.53 | (14), (15), (16), (17), (22), (23), (24), (25), (26), (27), (28),
% 260.89/66.53 | (29), (30), (31), (32), (33), (35), (36), (38), (39), (41), (42),
% 260.89/66.53 | (43), (44), (45), (46), (48), (49), (50), (51), (52), (79), (80),
% 260.89/66.53 | (81), (82), (92), (93), (96), (99), (101) are inconsistent by
% 260.89/66.53 | sub-proof #53.
% 260.89/66.53 |
% 260.89/66.53 End of proof
% 260.89/66.53
% 260.89/66.53 Sub-proof #53 shows that the following formulas are inconsistent:
% 260.89/66.53 ----------------------------------------------------------------
% 260.89/66.53 (1) succ(all_4_95) = all_4_51
% 260.89/66.53 (2) pred(n8) = all_4_60
% 260.89/66.53 (3) pred(n2) = all_4_68
% 260.89/66.53 (4) pred(all_4_95) = all_4_55
% 260.89/66.53 (5) sum(n9, n0) = n9
% 260.89/66.53 (6) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.53 (7) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.53 (8) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.53 (9) succ(n2) = all_4_70
% 260.89/66.53 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.53 (11) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.53 (12) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.53 (13) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.53 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.53 (14) succ(all_4_94) = all_4_54
% 260.89/66.53 (15) pred(n8) = n7
% 260.89/66.53 (16) all_4_61 = n5
% 260.89/66.53 (17) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.53 (18) all_4_58 = n5
% 260.89/66.53 (19) succ(n8) = all_4_62
% 260.89/66.53 (20) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.53 (21) succ(n10) = n0
% 260.89/66.53 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.53 | ~ (succ(v2) = v0))
% 260.89/66.53 (23) all_4_98 = n2
% 260.89/66.53 (24) pred(n8) = all_4_63
% 260.89/66.53 (25) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.53 (26) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.53 (27) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.53 (28) sum(n5, n5) = n10
% 260.89/66.53 (29) succ(n2) = n3
% 260.89/66.53 (30) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.53 (31) succ(n8) = n9
% 260.89/66.53 (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.53 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.53 (33) pred(n2) = all_4_71
% 260.89/66.53 (34) sum(n9, n9) = n7
% 260.89/66.53 (35) all_4_57 = n5
% 260.89/66.53 (36) pred(n10) = n9
% 260.89/66.53 (37) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.53 (38) succ(n2) = all_4_67
% 260.89/66.53 (39) all_4_99 = n2
% 260.89/66.53 (40) pred(n2) = n1
% 260.89/66.53 (41) all_4_56 = all_4_61
% 260.89/66.53 (42) succ(n8) = all_4_59
% 260.89/66.53 (43) sum(n4, n4) = n8
% 260.89/66.53 (44) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.53 (45) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.53 (46) sum(n7, n9) = all_4_61
% 260.89/66.53 (47) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.53 (48) sum(n1, n3) = n4
% 260.89/66.53 (49) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.53 | ~ (pred(v2) = v0))
% 260.89/66.53 (50) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.53 (51) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.53 (52) pred(all_4_94) = all_4_52
% 260.89/66.53
% 260.89/66.53 Begin of proof
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (16), (41) imply:
% 260.89/66.53 | (53) all_4_56 = n5
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (17), (35), (53) imply:
% 260.89/66.53 | (54) sum(n5, n5) = all_4_94
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (16), (18), (45) imply:
% 260.89/66.53 | (55) sum(n5, n5) = all_4_95
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (16), (46) imply:
% 260.89/66.53 | (56) sum(n7, n9) = n5
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (32) with n10, all_4_94, n5, n5, simplifying with
% 260.89/66.53 | (28), (54) gives:
% 260.89/66.53 | (57) all_4_94 = n10
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (32) with all_4_95, all_4_94, n5, n5, simplifying
% 260.89/66.53 | with (54), (55) gives:
% 260.89/66.53 | (58) all_4_94 = all_4_95
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (57), (58) imply:
% 260.89/66.53 | (59) all_4_95 = n10
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (52), (57) imply:
% 260.89/66.53 | (60) pred(n10) = all_4_52
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (4), (59) imply:
% 260.89/66.53 | (61) pred(n10) = all_4_55
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (14), (57) imply:
% 260.89/66.53 | (62) succ(n10) = all_4_54
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (1), (59) imply:
% 260.89/66.53 | (63) succ(n10) = all_4_51
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (22) with n0, all_4_51, n10, simplifying with (21),
% 260.89/66.53 | (63) gives:
% 260.89/66.53 | (64) all_4_51 = n0
% 260.89/66.53 |
% 260.89/66.53 | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (15),
% 260.89/66.53 | (17), (19), (20), (22), (23), (24), (25), (26), (27), (28), (29),
% 260.89/66.53 | (30), (31), (32), (33), (34), (36), (37), (38), (39), (40), (42),
% 260.89/66.53 | (43), (44), (45), (47), (48), (49), (50), (51), (56), (60), (61),
% 260.89/66.53 | (62), (63), (64) are inconsistent by sub-proof #54.
% 260.89/66.53 |
% 260.89/66.53 End of proof
% 260.89/66.53
% 260.89/66.53 Sub-proof #54 shows that the following formulas are inconsistent:
% 260.89/66.53 ----------------------------------------------------------------
% 260.89/66.53 (1) pred(n8) = all_4_60
% 260.89/66.53 (2) pred(n2) = all_4_68
% 260.89/66.53 (3) sum(n9, n0) = n9
% 260.89/66.53 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.53 (5) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.53 (6) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.53 (7) succ(n2) = all_4_70
% 260.89/66.53 (8) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.53 (9) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.53 (10) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.53 (11) pred(n10) = all_4_55
% 260.89/66.53 (12) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.53 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.53 (13) pred(n8) = n7
% 260.89/66.53 (14) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.53 (15) succ(n8) = all_4_62
% 260.89/66.53 (16) pred(n10) = all_4_52
% 260.89/66.53 (17) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.53 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.53 | ~ (succ(v2) = v0))
% 260.89/66.53 (19) all_4_98 = n2
% 260.89/66.53 (20) pred(n8) = all_4_63
% 260.89/66.53 (21) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.53 (22) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.53 (23) succ(n10) = all_4_54
% 260.89/66.53 (24) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.53 (25) sum(n5, n5) = n10
% 260.89/66.53 (26) succ(n10) = all_4_51
% 260.89/66.53 (27) succ(n2) = n3
% 260.89/66.53 (28) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.53 (29) succ(n8) = n9
% 260.89/66.53 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.53 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.53 (31) pred(n2) = all_4_71
% 260.89/66.53 (32) sum(n9, n9) = n7
% 260.89/66.53 (33) pred(n10) = n9
% 260.89/66.53 (34) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.53 (35) sum(n7, n9) = n5
% 260.89/66.53 (36) succ(n2) = all_4_67
% 260.89/66.53 (37) all_4_99 = n2
% 260.89/66.53 (38) pred(n2) = n1
% 260.89/66.53 (39) succ(n8) = all_4_59
% 260.89/66.53 (40) sum(n4, n4) = n8
% 260.89/66.53 (41) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.53 (42) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.53 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.53 (44) all_4_51 = n0
% 260.89/66.53 (45) sum(n1, n3) = n4
% 260.89/66.53 (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.53 | ~ (pred(v2) = v0))
% 260.89/66.53 (47) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.53 (48) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.53
% 260.89/66.53 Begin of proof
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (18) with all_4_54, all_4_51, n10, simplifying with
% 260.89/66.53 | (23), (26) gives:
% 260.89/66.53 | (49) all_4_51 = all_4_54
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (46) with n9, all_4_52, n10, simplifying with (16),
% 260.89/66.53 | (33) gives:
% 260.89/66.53 | (50) all_4_52 = n9
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (46) with all_4_55, all_4_52, n10, simplifying with
% 260.89/66.53 | (11), (16) gives:
% 260.89/66.53 | (51) all_4_52 = all_4_55
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (44), (49) imply:
% 260.89/66.53 | (52) all_4_54 = n0
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (50), (51) imply:
% 260.89/66.53 | (53) all_4_55 = n9
% 260.89/66.53 |
% 260.89/66.53 | SIMP: (53) implies:
% 260.89/66.53 | (54) all_4_55 = n9
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (44), (47), (50) imply:
% 260.89/66.53 | (55) sum(n9, n0) = all_4_50
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (4), (50), (52) imply:
% 260.89/66.53 | (56) sum(n9, n0) = all_4_48
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (21), (44), (54) imply:
% 260.89/66.53 | (57) sum(n9, n0) = all_4_49
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (8), (52), (54) imply:
% 260.89/66.53 | (58) sum(n9, n0) = all_4_53
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (30) with n9, all_4_49, n0, n9, simplifying with
% 260.89/66.53 | (3), (57) gives:
% 260.89/66.53 | (59) all_4_49 = n9
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (30) with all_4_50, all_4_49, n0, n9, simplifying
% 260.89/66.53 | with (55), (57) gives:
% 260.89/66.53 | (60) all_4_49 = all_4_50
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (30) with all_4_49, all_4_48, n0, n9, simplifying
% 260.89/66.53 | with (56), (57) gives:
% 260.89/66.53 | (61) all_4_48 = all_4_49
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (30) with all_4_53, all_4_48, n0, n9, simplifying
% 260.89/66.53 | with (56), (58) gives:
% 260.89/66.53 | (62) all_4_48 = all_4_53
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (61), (62) imply:
% 260.89/66.53 | (63) all_4_49 = all_4_53
% 260.89/66.53 |
% 260.89/66.53 | SIMP: (63) implies:
% 260.89/66.53 | (64) all_4_49 = all_4_53
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (59), (60) imply:
% 260.89/66.53 | (65) all_4_50 = n9
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (60), (64) imply:
% 260.89/66.53 | (66) all_4_50 = all_4_53
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (65), (66) imply:
% 260.89/66.53 | (67) all_4_53 = n9
% 260.89/66.53 |
% 260.89/66.53 | COMBINE_EQS: (62), (67) imply:
% 260.89/66.53 | (68) all_4_48 = n9
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (43), (59), (68) imply:
% 260.89/66.53 | (69) sum(n9, n9) = all_4_92
% 260.89/66.53 |
% 260.89/66.53 | REDUCE: (48), (65), (67) imply:
% 260.89/66.53 | (70) sum(n9, n9) = all_4_93
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (30) with n7, all_4_93, n9, n9, simplifying with
% 260.89/66.53 | (32), (70) gives:
% 260.89/66.53 | (71) all_4_93 = n7
% 260.89/66.53 |
% 260.89/66.53 | GROUND_INST: instantiating (30) with n7, all_4_92, n9, n9, simplifying with
% 260.89/66.53 | (32), (69) gives:
% 260.89/66.53 | (72) all_4_92 = n7
% 260.89/66.53 |
% 260.89/66.53 | REF_CLOSE: (1), (2), (5), (6), (7), (9), (10), (12), (13), (14), (15), (17),
% 260.89/66.53 | (18), (19), (20), (22), (24), (25), (27), (28), (29), (30), (31),
% 260.89/66.53 | (34), (35), (36), (37), (38), (39), (40), (41), (42), (45), (46),
% 260.89/66.53 | (71), (72) are inconsistent by sub-proof #55.
% 260.89/66.53 |
% 260.89/66.53 End of proof
% 260.89/66.53
% 260.89/66.53 Sub-proof #55 shows that the following formulas are inconsistent:
% 260.89/66.53 ----------------------------------------------------------------
% 260.89/66.53 (1) pred(n8) = all_4_60
% 260.89/66.53 (2) pred(n2) = all_4_68
% 260.89/66.53 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.53 (4) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.53 (5) succ(n2) = all_4_70
% 260.89/66.53 (6) all_4_92 = n7
% 260.89/66.53 (7) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.53 (8) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.53 (9) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.53 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.53 (10) pred(n8) = n7
% 260.89/66.53 (11) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.53 (12) succ(n8) = all_4_62
% 260.89/66.53 (13) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.53 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.53 | ~ (succ(v2) = v0))
% 260.89/66.53 (15) all_4_98 = n2
% 260.89/66.53 (16) pred(n8) = all_4_63
% 260.89/66.53 (17) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.53 (18) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.53 (19) sum(n5, n5) = n10
% 260.89/66.53 (20) succ(n2) = n3
% 260.89/66.53 (21) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.53 (22) succ(n8) = n9
% 260.89/66.53 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.53 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.53 (24) pred(n2) = all_4_71
% 260.89/66.53 (25) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.53 (26) sum(n7, n9) = n5
% 260.89/66.53 (27) succ(n2) = all_4_67
% 260.89/66.53 (28) all_4_99 = n2
% 260.89/66.53 (29) all_4_93 = n7
% 260.89/66.53 (30) pred(n2) = n1
% 260.89/66.53 (31) succ(n8) = all_4_59
% 260.89/66.53 (32) sum(n4, n4) = n8
% 260.89/66.53 (33) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.53 (34) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.53 (35) sum(n1, n3) = n4
% 260.89/66.53 (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.53 | ~ (pred(v2) = v0))
% 260.89/66.53
% 260.89/66.53 Begin of proof
% 260.89/66.53 |
% 260.89/66.53 | BETA: splitting (9) gives:
% 260.89/66.53 |
% 260.89/66.53 | Case 1:
% 260.89/66.53 | |
% 260.89/66.53 | | (37) ~ (all_4_92 = all_4_93)
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (6), (29), (37) imply:
% 260.89/66.53 | | (38) $false
% 260.89/66.53 | |
% 260.89/66.53 | | CLOSE: (38) is inconsistent.
% 260.89/66.53 | |
% 260.89/66.53 | Case 2:
% 260.89/66.53 | |
% 260.89/66.53 | | (39) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.53 | | all_4_99)
% 260.89/66.53 | |
% 260.89/66.53 | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 260.89/66.53 | | (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 260.89/66.53 | | (26), (27), (28), (30), (31), (32), (33), (34), (35), (36), (39)
% 260.89/66.53 | | are inconsistent by sub-proof #56.
% 260.89/66.53 | |
% 260.89/66.53 | End of split
% 260.89/66.53 |
% 260.89/66.53 End of proof
% 260.89/66.53
% 260.89/66.53 Sub-proof #56 shows that the following formulas are inconsistent:
% 260.89/66.53 ----------------------------------------------------------------
% 260.89/66.53 (1) pred(n8) = all_4_60
% 260.89/66.53 (2) pred(n2) = all_4_68
% 260.89/66.53 (3) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.53 (4) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.53 (5) succ(n2) = all_4_70
% 260.89/66.53 (6) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.53 (7) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.53 (8) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.53 all_4_99)
% 260.89/66.53 (9) pred(n8) = n7
% 260.89/66.53 (10) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.53 (11) succ(n8) = all_4_62
% 260.89/66.53 (12) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.53 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.53 | ~ (succ(v2) = v0))
% 260.89/66.53 (14) all_4_98 = n2
% 260.89/66.53 (15) pred(n8) = all_4_63
% 260.89/66.53 (16) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.53 (17) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.53 (18) sum(n5, n5) = n10
% 260.89/66.53 (19) succ(n2) = n3
% 260.89/66.53 (20) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.53 (21) succ(n8) = n9
% 260.89/66.53 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.53 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.53 (23) pred(n2) = all_4_71
% 260.89/66.53 (24) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.53 (25) sum(n7, n9) = n5
% 260.89/66.53 (26) succ(n2) = all_4_67
% 260.89/66.53 (27) all_4_99 = n2
% 260.89/66.53 (28) pred(n2) = n1
% 260.89/66.53 (29) succ(n8) = all_4_59
% 260.89/66.53 (30) sum(n4, n4) = n8
% 260.89/66.53 (31) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.53 (32) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.53 (33) sum(n1, n3) = n4
% 260.89/66.53 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.53 | ~ (pred(v2) = v0))
% 260.89/66.53
% 260.89/66.53 Begin of proof
% 260.89/66.53 |
% 260.89/66.53 | BETA: splitting (8) gives:
% 260.89/66.53 |
% 260.89/66.53 | Case 1:
% 260.89/66.53 | |
% 260.89/66.53 | | (35) ~ (all_4_94 = all_4_95)
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (13) with n9, all_4_59, n8, simplifying with
% 260.89/66.53 | | (21), (29) gives:
% 260.89/66.53 | | (36) all_4_59 = n9
% 260.89/66.53 | |
% 260.89/66.53 | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (13), (15), (17), (18),
% 260.89/66.53 | | (22), (25), (29), (32), (34), (35), (36) are inconsistent by
% 260.89/66.53 | | sub-proof #102.
% 260.89/66.53 | |
% 260.89/66.53 | Case 2:
% 260.89/66.53 | |
% 260.89/66.53 | | (37) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.53 | |
% 260.89/66.53 | | REF_CLOSE: (2), (4), (5), (12), (13), (14), (16), (19), (20), (22), (23),
% 260.89/66.53 | | (24), (26), (27), (28), (30), (31), (33), (34), (37) are
% 260.89/66.53 | | inconsistent by sub-proof #73.
% 260.89/66.53 | |
% 260.89/66.53 | End of split
% 260.89/66.53 |
% 260.89/66.53 End of proof
% 260.89/66.53
% 260.89/66.53 Sub-proof #57 shows that the following formulas are inconsistent:
% 260.89/66.53 ----------------------------------------------------------------
% 260.89/66.53 (1) succ(all_4_95) = all_4_51
% 260.89/66.53 (2) succ(n1) = n2
% 260.89/66.53 (3) sum(n4, n6) = n10
% 260.89/66.53 (4) succ(all_4_92) = all_4_46
% 260.89/66.53 (5) sum(n7, n1) = n8
% 260.89/66.53 (6) sum(n2, n2) = n4
% 260.89/66.53 (7) pred(all_4_95) = all_4_55
% 260.89/66.53 (8) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.53 (9) sum(all_4_76, all_4_78) = all_4_72
% 260.89/66.53 (10) succ(n9) = n10
% 260.89/66.53 (11) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.53 (12) sum(n3, n3) = n6
% 260.89/66.53 (13) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.53 (14) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.53 (15) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.53 (16) sum(n5, n2) = n7
% 260.89/66.53 (17) sum(n2, n4) = n6
% 260.89/66.53 (18) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.53 (19) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.53 (20) succ(all_4_94) = all_4_54
% 260.89/66.53 (21) sum(n10, n1) = n0
% 260.89/66.53 (22) sum(n8, n8) = n5
% 260.89/66.53 (23) pred(n8) = n7
% 260.89/66.53 (24) pred(all_4_99) = all_4_71
% 260.89/66.53 (25) sum(n7, all_4_78) = all_4_77
% 260.89/66.53 (26) sum(n6, n8) = n3
% 260.89/66.53 (27) succ(n0) = n1
% 260.89/66.53 (28) sum(n8, n10) = n7
% 260.89/66.53 (29) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.53 (30) sum(n0, n2) = n2
% 260.89/66.53 (31) sum(n10, n10) = n9
% 260.89/66.53 (32) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.53 (33) pred(n5) = n4
% 260.89/66.53 (34) pred(all_4_92) = all_4_44
% 260.89/66.53 (35) sum(n5, n7) = n1
% 260.89/66.53 (36) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.53 (37) sum(n0, n9) = n9
% 260.89/66.53 (38) succ(all_4_100) = all_4_78
% 260.89/66.53 (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.53 | ~ (succ(v2) = v0))
% 260.89/66.53 (40) pred(all_4_97) = all_4_63
% 260.89/66.53 (41) succ(all_4_99) = all_4_67
% 260.89/66.53 (42) pred(n9) = n8
% 260.89/66.53 (43) succ(n3) = n4
% 260.89/66.53 (44) pred(n6) = n5
% 260.89/66.53 (45) pred(all_4_96) = all_4_60
% 260.89/66.53 (46) succ(all_4_96) = all_4_62
% 260.89/66.53 (47) pred(n3) = n2
% 260.89/66.53 (48) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.53 (49) pred(n7) = n6
% 260.89/66.53 (50) succ(n7) = n8
% 260.89/66.53 (51) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.53 (52) pred(all_4_93) = all_4_47
% 260.89/66.53 (53) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.53 (54) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.53 (55) sum(n5, n5) = n10
% 260.89/66.53 (56) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.53 (57) succ(n2) = n3
% 260.89/66.53 (58) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.53 (59) sum(n5, n0) = n5
% 260.89/66.53 (60) succ(n6) = n7
% 260.89/66.53 (61) succ(n8) = n9
% 260.89/66.53 (62) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.53 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.53 (63) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.53 (64) sum(n9, n9) = n7
% 260.89/66.53 (65) sum(n6, n6) = n1
% 260.89/66.53 (66) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.53 (67) succ(n5) = n6
% 260.89/66.53 (68) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.53 (69) sum(n7, n9) = n5
% 260.89/66.53 (70) sum(n7, n2) = n9
% 260.89/66.53 (71) pred(n2) = n1
% 260.89/66.53 (72) succ(all_4_98) = all_4_70
% 260.89/66.53 (73) sum(n5, all_4_72) = all_4_98
% 260.89/66.53 (74) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.53 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.53 (75) sum(n4, n4) = n8
% 260.89/66.53 (76) pred(n1) = n0
% 260.89/66.53 (77) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.53 (78) succ(all_4_97) = all_4_59
% 260.89/66.53 (79) all_4_100 = n1 | all_4_100 = n0
% 260.89/66.53 (80) sum(all_4_77, all_4_74) = all_4_99
% 260.89/66.53 (81) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.53 (82) sum(n7, n7) = n3
% 260.89/66.53 (83) sum(all_4_76, n9) = all_4_74
% 260.89/66.53 (84) pred(all_4_100) = all_4_76
% 260.89/66.53 (85) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.53 (86) sum(n1, n3) = n4
% 260.89/66.53 (87) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.53 | ~ (pred(v2) = v0))
% 260.89/66.53 (88) sum(n1, n1) = n2
% 260.89/66.53 (89) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.53 (90) sum(n10, n9) = n8
% 260.89/66.53 (91) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.53 (92) succ(all_4_93) = all_4_43
% 260.89/66.53 (93) pred(all_4_98) = all_4_68
% 260.89/66.53 (94) pred(n0) = n10
% 260.89/66.53 (95) pred(all_4_94) = all_4_52
% 260.89/66.53
% 260.89/66.53 Begin of proof
% 260.89/66.53 |
% 260.89/66.53 | BETA: splitting (79) gives:
% 260.89/66.53 |
% 260.89/66.53 | Case 1:
% 260.89/66.53 | |
% 260.89/66.53 | | (96) all_4_100 = n1
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (84), (96) imply:
% 260.89/66.53 | | (97) pred(n1) = all_4_76
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (38), (96) imply:
% 260.89/66.53 | | (98) succ(n1) = all_4_78
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (39) with n2, all_4_78, n1, simplifying with (2),
% 260.89/66.53 | | (98) gives:
% 260.89/66.53 | | (99) all_4_78 = n2
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (87) with n0, all_4_76, n1, simplifying with
% 260.89/66.53 | | (76), (97) gives:
% 260.89/66.53 | | (100) all_4_76 = n0
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (9), (99), (100) imply:
% 260.89/66.53 | | (101) sum(n0, n2) = all_4_72
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (83), (100) imply:
% 260.89/66.53 | | (102) sum(n0, n9) = all_4_74
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (25), (99) imply:
% 260.89/66.53 | | (103) sum(n7, n2) = all_4_77
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n2, all_4_72, n2, n0, simplifying with
% 260.89/66.53 | | (30), (101) gives:
% 260.89/66.53 | | (104) all_4_72 = n2
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n9, all_4_74, n9, n0, simplifying with
% 260.89/66.53 | | (37), (102) gives:
% 260.89/66.53 | | (105) all_4_74 = n9
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n9, all_4_77, n2, n7, simplifying with
% 260.89/66.53 | | (70), (103) gives:
% 260.89/66.53 | | (106) all_4_77 = n9
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (80), (105), (106) imply:
% 260.89/66.53 | | (107) sum(n9, n9) = all_4_99
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (73), (104) imply:
% 260.89/66.53 | | (108) sum(n5, n2) = all_4_98
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n7, all_4_98, n2, n5, simplifying with
% 260.89/66.53 | | (16), (108) gives:
% 260.89/66.53 | | (109) all_4_98 = n7
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n7, all_4_99, n9, n9, simplifying with
% 260.89/66.53 | | (64), (107) gives:
% 260.89/66.53 | | (110) all_4_99 = n7
% 260.89/66.53 | |
% 260.89/66.53 | | REF_CLOSE: (1), (4), (7), (8), (11), (12), (13), (14), (15), (18), (19),
% 260.89/66.53 | | (20), (23), (24), (26), (29), (32), (34), (35), (36), (39), (40),
% 260.89/66.53 | | (41), (44), (45), (46), (48), (49), (50), (51), (52), (53), (54),
% 260.89/66.53 | | (55), (56), (57), (58), (60), (61), (62), (63), (66), (68), (69),
% 260.89/66.53 | | (71), (72), (74), (75), (77), (78), (81), (85), (86), (87), (88),
% 260.89/66.53 | | (89), (91), (92), (93), (95), (109), (110) are inconsistent by
% 260.89/66.53 | | sub-proof #79.
% 260.89/66.53 | |
% 260.89/66.53 | Case 2:
% 260.89/66.53 | |
% 260.89/66.53 | | (111) all_4_100 = n0
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (84), (111) imply:
% 260.89/66.53 | | (112) pred(n0) = all_4_76
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (38), (111) imply:
% 260.89/66.53 | | (113) succ(n0) = all_4_78
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (39) with n1, all_4_78, n0, simplifying with
% 260.89/66.53 | | (27), (113) gives:
% 260.89/66.53 | | (114) all_4_78 = n1
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (87) with n10, all_4_76, n0, simplifying with
% 260.89/66.53 | | (94), (112) gives:
% 260.89/66.53 | | (115) all_4_76 = n10
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (9), (114), (115) imply:
% 260.89/66.53 | | (116) sum(n10, n1) = all_4_72
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (83), (115) imply:
% 260.89/66.53 | | (117) sum(n10, n9) = all_4_74
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (25), (114) imply:
% 260.89/66.53 | | (118) sum(n7, n1) = all_4_77
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n8, all_4_77, n1, n7, simplifying with
% 260.89/66.53 | | (5), (118) gives:
% 260.89/66.53 | | (119) all_4_77 = n8
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n0, all_4_72, n1, n10, simplifying with
% 260.89/66.53 | | (21), (116) gives:
% 260.89/66.53 | | (120) all_4_72 = n0
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n8, all_4_74, n9, n10, simplifying with
% 260.89/66.53 | | (90), (117) gives:
% 260.89/66.53 | | (121) all_4_74 = n8
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (80), (119), (121) imply:
% 260.89/66.53 | | (122) sum(n8, n8) = all_4_99
% 260.89/66.53 | |
% 260.89/66.53 | | REDUCE: (73), (120) imply:
% 260.89/66.53 | | (123) sum(n5, n0) = all_4_98
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n5, all_4_98, n0, n5, simplifying with
% 260.89/66.53 | | (59), (123) gives:
% 260.89/66.53 | | (124) all_4_98 = n5
% 260.89/66.53 | |
% 260.89/66.53 | | GROUND_INST: instantiating (62) with n5, all_4_99, n8, n8, simplifying with
% 260.89/66.53 | | (22), (122) gives:
% 260.89/66.53 | | (125) all_4_99 = n5
% 260.89/66.53 | |
% 260.89/66.54 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (11), (13), (14), (15),
% 260.89/66.54 | | (17), (18), (19), (20), (24), (28), (29), (30), (31), (32), (33),
% 260.89/66.54 | | (34), (36), (39), (40), (41), (42), (43), (45), (46), (47), (48),
% 260.89/66.54 | | (51), (52), (53), (54), (56), (58), (62), (63), (65), (66), (67),
% 260.89/66.54 | | (68), (72), (74), (76), (77), (78), (81), (82), (85), (87), (89),
% 260.89/66.54 | | (91), (92), (93), (95), (124), (125) are inconsistent by
% 260.89/66.54 | | sub-proof #58.
% 260.89/66.54 | |
% 260.89/66.54 | End of split
% 260.89/66.54 |
% 260.89/66.54 End of proof
% 260.89/66.54
% 260.89/66.54 Sub-proof #58 shows that the following formulas are inconsistent:
% 260.89/66.54 ----------------------------------------------------------------
% 260.89/66.54 (1) succ(all_4_95) = all_4_51
% 260.89/66.54 (2) succ(n1) = n2
% 260.89/66.54 (3) sum(n4, n6) = n10
% 260.89/66.54 (4) succ(all_4_92) = all_4_46
% 260.89/66.54 (5) sum(n2, n2) = n4
% 260.89/66.54 (6) pred(all_4_95) = all_4_55
% 260.89/66.54 (7) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.54 (8) succ(n9) = n10
% 260.89/66.54 (9) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.54 (10) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.54 (11) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.54 (12) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.54 (13) sum(n2, n4) = n6
% 260.89/66.54 (14) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.54 (15) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.54 (16) succ(all_4_94) = all_4_54
% 260.89/66.54 (17) all_4_98 = n5
% 260.89/66.54 (18) pred(all_4_99) = all_4_71
% 260.89/66.54 (19) all_4_99 = n5
% 260.89/66.54 (20) sum(n8, n10) = n7
% 260.89/66.54 (21) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.54 (22) sum(n0, n2) = n2
% 260.89/66.54 (23) sum(n10, n10) = n9
% 260.89/66.54 (24) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.54 (25) pred(n5) = n4
% 260.89/66.54 (26) pred(all_4_92) = all_4_44
% 260.89/66.54 (27) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.54 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.54 | ~ (succ(v2) = v0))
% 260.89/66.54 (29) pred(all_4_97) = all_4_63
% 260.89/66.54 (30) succ(all_4_99) = all_4_67
% 260.89/66.54 (31) pred(n9) = n8
% 260.89/66.54 (32) succ(n3) = n4
% 260.89/66.54 (33) pred(all_4_96) = all_4_60
% 260.89/66.54 (34) succ(all_4_96) = all_4_62
% 260.89/66.54 (35) pred(n3) = n2
% 260.89/66.54 (36) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.54 (37) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.54 (38) pred(all_4_93) = all_4_47
% 260.89/66.54 (39) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.54 (40) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.54 (41) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.54 (42) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.54 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.54 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.54 (44) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.54 (45) sum(n6, n6) = n1
% 260.89/66.54 (46) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.54 (47) succ(n5) = n6
% 260.89/66.54 (48) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.54 (49) succ(all_4_98) = all_4_70
% 260.89/66.54 (50) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.54 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.54 (51) pred(n1) = n0
% 260.89/66.54 (52) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.54 (53) succ(all_4_97) = all_4_59
% 260.89/66.54 (54) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.54 (55) sum(n7, n7) = n3
% 260.89/66.54 (56) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.54 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.54 | ~ (pred(v2) = v0))
% 260.89/66.54 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.54 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.54 (60) succ(all_4_93) = all_4_43
% 260.89/66.54 (61) pred(all_4_98) = all_4_68
% 260.89/66.54 (62) pred(all_4_94) = all_4_52
% 260.89/66.54
% 260.89/66.54 Begin of proof
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (17), (61) imply:
% 260.89/66.54 | (63) pred(n5) = all_4_68
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (18), (19) imply:
% 260.89/66.54 | (64) pred(n5) = all_4_71
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (17), (49) imply:
% 260.89/66.54 | (65) succ(n5) = all_4_70
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (19), (30) imply:
% 260.89/66.54 | (66) succ(n5) = all_4_67
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with n6, all_4_67, n5, simplifying with (47),
% 260.89/66.54 | (66) gives:
% 260.89/66.54 | (67) all_4_67 = n6
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with all_4_70, all_4_67, n5, simplifying with
% 260.89/66.54 | (65), (66) gives:
% 260.89/66.54 | (68) all_4_67 = all_4_70
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with n4, all_4_68, n5, simplifying with (25),
% 260.89/66.54 | (63) gives:
% 260.89/66.54 | (69) all_4_68 = n4
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n5, simplifying with
% 260.89/66.54 | (63), (64) gives:
% 260.89/66.54 | (70) all_4_68 = all_4_71
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (67), (68) imply:
% 260.89/66.54 | (71) all_4_70 = n6
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (69), (70) imply:
% 260.89/66.54 | (72) all_4_71 = n4
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (42), (67), (69) imply:
% 260.89/66.54 | (73) sum(n4, n6) = all_4_66
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (52), (69), (71) imply:
% 260.89/66.54 | (74) sum(n4, n6) = all_4_64
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (39), (67), (72) imply:
% 260.89/66.54 | (75) sum(n4, n6) = all_4_65
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (11), (71), (72) imply:
% 260.89/66.54 | (76) sum(n4, n6) = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n10, all_4_65, n6, n4, simplifying with
% 260.89/66.54 | (3), (75) gives:
% 260.89/66.54 | (77) all_4_65 = n10
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_66, all_4_65, n6, n4, simplifying
% 260.89/66.54 | with (73), (75) gives:
% 260.89/66.54 | (78) all_4_65 = all_4_66
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_66, all_4_64, n6, n4, simplifying
% 260.89/66.54 | with (73), (74) gives:
% 260.89/66.54 | (79) all_4_64 = all_4_66
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_69, all_4_64, n6, n4, simplifying
% 260.89/66.54 | with (74), (76) gives:
% 260.89/66.54 | (80) all_4_64 = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (79), (80) imply:
% 260.89/66.54 | (81) all_4_66 = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (81) implies:
% 260.89/66.54 | (82) all_4_66 = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (77), (78) imply:
% 260.89/66.54 | (83) all_4_66 = n10
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (83) implies:
% 260.89/66.54 | (84) all_4_66 = n10
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (82), (84) imply:
% 260.89/66.54 | (85) all_4_69 = n10
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (80), (85) imply:
% 260.89/66.54 | (86) all_4_64 = n10
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (27), (77), (86) imply:
% 260.89/66.54 | (87) sum(n10, n10) = all_4_96
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (48), (84), (85) imply:
% 260.89/66.54 | (88) sum(n10, n10) = all_4_97
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n9, all_4_96, n10, n10, simplifying with
% 260.89/66.54 | (23), (87) gives:
% 260.89/66.54 | (89) all_4_96 = n9
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_97, all_4_96, n10, n10, simplifying
% 260.89/66.54 | with (87), (88) gives:
% 260.89/66.54 | (90) all_4_96 = all_4_97
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (89), (90) imply:
% 260.89/66.54 | (91) all_4_97 = n9
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (91) implies:
% 260.89/66.54 | (92) all_4_97 = n9
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (33), (89) imply:
% 260.89/66.54 | (93) pred(n9) = all_4_60
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (29), (92) imply:
% 260.89/66.54 | (94) pred(n9) = all_4_63
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (34), (89) imply:
% 260.89/66.54 | (95) succ(n9) = all_4_62
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (53), (92) imply:
% 260.89/66.54 | (96) succ(n9) = all_4_59
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with n10, all_4_59, n9, simplifying with (8),
% 260.89/66.54 | (96) gives:
% 260.89/66.54 | (97) all_4_59 = n10
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with all_4_62, all_4_59, n9, simplifying with
% 260.89/66.54 | (95), (96) gives:
% 260.89/66.54 | (98) all_4_59 = all_4_62
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with n8, all_4_60, n9, simplifying with (31),
% 260.89/66.54 | (93) gives:
% 260.89/66.54 | (99) all_4_60 = n8
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n9, simplifying with
% 260.89/66.54 | (93), (94) gives:
% 260.89/66.54 | (100) all_4_60 = all_4_63
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (97), (98) imply:
% 260.89/66.54 | (101) all_4_62 = n10
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (99), (100) imply:
% 260.89/66.54 | (102) all_4_63 = n8
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (40), (97), (99) imply:
% 260.89/66.54 | (103) sum(n8, n10) = all_4_58
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (10), (99), (101) imply:
% 260.89/66.54 | (104) sum(n8, n10) = all_4_56
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (14), (97), (102) imply:
% 260.89/66.54 | (105) sum(n8, n10) = all_4_57
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (15), (101), (102) imply:
% 260.89/66.54 | (106) sum(n8, n10) = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n7, all_4_57, n10, n8, simplifying with
% 260.89/66.54 | (20), (105) gives:
% 260.89/66.54 | (107) all_4_57 = n7
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_58, all_4_57, n10, n8, simplifying
% 260.89/66.54 | with (103), (105) gives:
% 260.89/66.54 | (108) all_4_57 = all_4_58
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_57, all_4_56, n10, n8, simplifying
% 260.89/66.54 | with (104), (105) gives:
% 260.89/66.54 | (109) all_4_56 = all_4_57
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_61, all_4_56, n10, n8, simplifying
% 260.89/66.54 | with (104), (106) gives:
% 260.89/66.54 | (110) all_4_56 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (109), (110) imply:
% 260.89/66.54 | (111) all_4_57 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (111) implies:
% 260.89/66.54 | (112) all_4_57 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (107), (108) imply:
% 260.89/66.54 | (113) all_4_58 = n7
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (108), (112) imply:
% 260.89/66.54 | (114) all_4_58 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (113), (114) imply:
% 260.89/66.54 | (115) all_4_61 = n7
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (110), (115) imply:
% 260.89/66.54 | (116) all_4_56 = n7
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (21), (107), (116) imply:
% 260.89/66.54 | (117) sum(n7, n7) = all_4_94
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (54), (113), (115) imply:
% 260.89/66.54 | (118) sum(n7, n7) = all_4_95
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n3, all_4_94, n7, n7, simplifying with
% 260.89/66.54 | (55), (117) gives:
% 260.89/66.54 | (119) all_4_94 = n3
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_95, all_4_94, n7, n7, simplifying
% 260.89/66.54 | with (117), (118) gives:
% 260.89/66.54 | (120) all_4_94 = all_4_95
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (119), (120) imply:
% 260.89/66.54 | (121) all_4_95 = n3
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (62), (119) imply:
% 260.89/66.54 | (122) pred(n3) = all_4_52
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (6), (121) imply:
% 260.89/66.54 | (123) pred(n3) = all_4_55
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (16), (119) imply:
% 260.89/66.54 | (124) succ(n3) = all_4_54
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (1), (121) imply:
% 260.89/66.54 | (125) succ(n3) = all_4_51
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with n4, all_4_51, n3, simplifying with (32),
% 260.89/66.54 | (125) gives:
% 260.89/66.54 | (126) all_4_51 = n4
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with all_4_54, all_4_51, n3, simplifying with
% 260.89/66.54 | (124), (125) gives:
% 260.89/66.54 | (127) all_4_51 = all_4_54
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with n2, all_4_52, n3, simplifying with (35),
% 260.89/66.54 | (122) gives:
% 260.89/66.54 | (128) all_4_52 = n2
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n3, simplifying with
% 260.89/66.54 | (122), (123) gives:
% 260.89/66.54 | (129) all_4_52 = all_4_55
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (126), (127) imply:
% 260.89/66.54 | (130) all_4_54 = n4
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (128), (129) imply:
% 260.89/66.54 | (131) all_4_55 = n2
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (131) implies:
% 260.89/66.54 | (132) all_4_55 = n2
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (58), (126), (128) imply:
% 260.89/66.54 | (133) sum(n2, n4) = all_4_50
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (9), (128), (130) imply:
% 260.89/66.54 | (134) sum(n2, n4) = all_4_48
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (36), (126), (132) imply:
% 260.89/66.54 | (135) sum(n2, n4) = all_4_49
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (12), (130), (132) imply:
% 260.89/66.54 | (136) sum(n2, n4) = all_4_53
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n6, all_4_49, n4, n2, simplifying with
% 260.89/66.54 | (13), (135) gives:
% 260.89/66.54 | (137) all_4_49 = n6
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_50, all_4_49, n4, n2, simplifying
% 260.89/66.54 | with (133), (135) gives:
% 260.89/66.54 | (138) all_4_49 = all_4_50
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_49, all_4_48, n4, n2, simplifying
% 260.89/66.54 | with (134), (135) gives:
% 260.89/66.54 | (139) all_4_48 = all_4_49
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_53, all_4_48, n4, n2, simplifying
% 260.89/66.54 | with (134), (136) gives:
% 260.89/66.54 | (140) all_4_48 = all_4_53
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (139), (140) imply:
% 260.89/66.54 | (141) all_4_49 = all_4_53
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (141) implies:
% 260.89/66.54 | (142) all_4_49 = all_4_53
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (137), (138) imply:
% 260.89/66.54 | (143) all_4_50 = n6
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (138), (142) imply:
% 260.89/66.54 | (144) all_4_50 = all_4_53
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (143), (144) imply:
% 260.89/66.54 | (145) all_4_53 = n6
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (140), (145) imply:
% 260.89/66.54 | (146) all_4_48 = n6
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (56), (137), (146) imply:
% 260.89/66.54 | (147) sum(n6, n6) = all_4_92
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (59), (143), (145) imply:
% 260.89/66.54 | (148) sum(n6, n6) = all_4_93
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n1, all_4_92, n6, n6, simplifying with
% 260.89/66.54 | (45), (147) gives:
% 260.89/66.54 | (149) all_4_92 = n1
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_93, all_4_92, n6, n6, simplifying
% 260.89/66.54 | with (147), (148) gives:
% 260.89/66.54 | (150) all_4_92 = all_4_93
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (149), (150) imply:
% 260.89/66.54 | (151) all_4_93 = n1
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (151) implies:
% 260.89/66.54 | (152) all_4_93 = n1
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (26), (149) imply:
% 260.89/66.54 | (153) pred(n1) = all_4_44
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (38), (152) imply:
% 260.89/66.54 | (154) pred(n1) = all_4_47
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (4), (149) imply:
% 260.89/66.54 | (155) succ(n1) = all_4_46
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (60), (152) imply:
% 260.89/66.54 | (156) succ(n1) = all_4_43
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with n2, all_4_43, n1, simplifying with (2),
% 260.89/66.54 | (156) gives:
% 260.89/66.54 | (157) all_4_43 = n2
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (28) with all_4_46, all_4_43, n1, simplifying with
% 260.89/66.54 | (155), (156) gives:
% 260.89/66.54 | (158) all_4_43 = all_4_46
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with n0, all_4_44, n1, simplifying with (51),
% 260.89/66.54 | (153) gives:
% 260.89/66.54 | (159) all_4_44 = n0
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (57) with all_4_47, all_4_44, n1, simplifying with
% 260.89/66.54 | (153), (154) gives:
% 260.89/66.54 | (160) all_4_44 = all_4_47
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (157), (158) imply:
% 260.89/66.54 | (161) all_4_46 = n2
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (159), (160) imply:
% 260.89/66.54 | (162) all_4_47 = n0
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (46), (157), (159) imply:
% 260.89/66.54 | (163) sum(n0, n2) = all_4_42
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (7), (159), (161) imply:
% 260.89/66.54 | (164) sum(n0, n2) = all_4_40
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (24), (157), (162) imply:
% 260.89/66.54 | (165) sum(n0, n2) = all_4_41
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (37), (161), (162) imply:
% 260.89/66.54 | (166) sum(n0, n2) = all_4_45
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n2, all_4_41, n2, n0, simplifying with
% 260.89/66.54 | (22), (165) gives:
% 260.89/66.54 | (167) all_4_41 = n2
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_42, all_4_41, n2, n0, simplifying
% 260.89/66.54 | with (163), (165) gives:
% 260.89/66.54 | (168) all_4_41 = all_4_42
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_41, all_4_40, n2, n0, simplifying
% 260.89/66.54 | with (164), (165) gives:
% 260.89/66.54 | (169) all_4_40 = all_4_41
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with all_4_45, all_4_40, n2, n0, simplifying
% 260.89/66.54 | with (164), (166) gives:
% 260.89/66.54 | (170) all_4_40 = all_4_45
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (169), (170) imply:
% 260.89/66.54 | (171) all_4_41 = all_4_45
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (171) implies:
% 260.89/66.54 | (172) all_4_41 = all_4_45
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (167), (168) imply:
% 260.89/66.54 | (173) all_4_42 = n2
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (168), (172) imply:
% 260.89/66.54 | (174) all_4_42 = all_4_45
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (173), (174) imply:
% 260.89/66.54 | (175) all_4_45 = n2
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (175) implies:
% 260.89/66.54 | (176) all_4_45 = n2
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (170), (176) imply:
% 260.89/66.54 | (177) all_4_40 = n2
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (41), (167), (177) imply:
% 260.89/66.54 | (178) sum(n2, n2) = all_4_90
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (44), (173), (176) imply:
% 260.89/66.54 | (179) sum(n2, n2) = all_4_91
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n4, all_4_91, n2, n2, simplifying with
% 260.89/66.54 | (5), (179) gives:
% 260.89/66.54 | (180) all_4_91 = n4
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (43) with n4, all_4_90, n2, n2, simplifying with
% 260.89/66.54 | (5), (178) gives:
% 260.89/66.54 | (181) all_4_90 = n4
% 260.89/66.54 |
% 260.89/66.54 | REF_CLOSE: (17), (19), (50), (89), (92), (119), (121), (149), (152), (180),
% 260.89/66.54 | (181) are inconsistent by sub-proof #176.
% 260.89/66.54 |
% 260.89/66.54 End of proof
% 260.89/66.54
% 260.89/66.54 Sub-proof #59 shows that the following formulas are inconsistent:
% 260.89/66.54 ----------------------------------------------------------------
% 260.89/66.54 (1) succ(all_4_95) = all_4_51
% 260.89/66.54 (2) succ(all_4_92) = all_4_46
% 260.89/66.54 (3) all_4_99 = n0
% 260.89/66.54 (4) pred(all_4_95) = all_4_55
% 260.89/66.54 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.54 (6) ~ (all_4_90 = all_4_91)
% 260.89/66.54 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.54 (8) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.54 (9) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.54 (10) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.54 (11) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.54 (12) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.54 (13) succ(all_4_94) = all_4_54
% 260.89/66.54 (14) sum(n10, n1) = n0
% 260.89/66.54 (15) pred(all_4_99) = all_4_71
% 260.89/66.54 (16) all_4_98 = n0
% 260.89/66.54 (17) succ(n0) = n1
% 260.89/66.54 (18) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.54 (19) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.54 (20) pred(all_4_92) = all_4_44
% 260.89/66.54 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.54 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.54 | ~ (succ(v2) = v0))
% 260.89/66.54 (23) pred(all_4_97) = all_4_63
% 260.89/66.54 (24) succ(all_4_99) = all_4_67
% 260.89/66.54 (25) pred(all_4_96) = all_4_60
% 260.89/66.54 (26) succ(all_4_96) = all_4_62
% 260.89/66.54 (27) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.54 (28) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.54 (29) pred(all_4_93) = all_4_47
% 260.89/66.54 (30) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.54 (31) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.54 (32) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.54 (33) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.54 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.54 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.54 (35) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.54 (36) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.54 (37) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.54 (38) sum(n0, n0) = all_4_99
% 260.89/66.54 (39) succ(all_4_98) = all_4_70
% 260.89/66.54 (40) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.54 (41) succ(all_4_97) = all_4_59
% 260.89/66.54 (42) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.54 (43) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.54 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.54 | ~ (pred(v2) = v0))
% 260.89/66.54 (45) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.54 (46) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.54 (47) succ(all_4_93) = all_4_43
% 260.89/66.54 (48) pred(all_4_98) = all_4_68
% 260.89/66.54 (49) pred(n0) = n10
% 260.89/66.54 (50) pred(all_4_94) = all_4_52
% 260.89/66.54
% 260.89/66.54 Begin of proof
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (16), (48) imply:
% 260.89/66.54 | (51) pred(n0) = all_4_68
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (3), (15) imply:
% 260.89/66.54 | (52) pred(n0) = all_4_71
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (16), (39) imply:
% 260.89/66.54 | (53) succ(n0) = all_4_70
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (3), (24) imply:
% 260.89/66.54 | (54) succ(n0) = all_4_67
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (3), (38) imply:
% 260.89/66.54 | (55) sum(n0, n0) = n0
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (22) with n1, all_4_67, n0, simplifying with (17),
% 260.89/66.54 | (54) gives:
% 260.89/66.54 | (56) all_4_67 = n1
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (22) with all_4_70, all_4_67, n0, simplifying with
% 260.89/66.54 | (53), (54) gives:
% 260.89/66.54 | (57) all_4_67 = all_4_70
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (44) with n10, all_4_68, n0, simplifying with (49),
% 260.89/66.54 | (51) gives:
% 260.89/66.54 | (58) all_4_68 = n10
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n0, simplifying with
% 260.89/66.54 | (51), (52) gives:
% 260.89/66.54 | (59) all_4_68 = all_4_71
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (56), (57) imply:
% 260.89/66.54 | (60) all_4_70 = n1
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (58), (59) imply:
% 260.89/66.54 | (61) all_4_71 = n10
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (33), (56), (58) imply:
% 260.89/66.54 | (62) sum(n10, n1) = all_4_66
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (40), (58), (60) imply:
% 260.89/66.54 | (63) sum(n10, n1) = all_4_64
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (30), (56), (61) imply:
% 260.89/66.54 | (64) sum(n10, n1) = all_4_65
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (9), (60), (61) imply:
% 260.89/66.54 | (65) sum(n10, n1) = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with n0, all_4_65, n1, n10, simplifying with
% 260.89/66.54 | (14), (64) gives:
% 260.89/66.54 | (66) all_4_65 = n0
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_66, all_4_65, n1, n10, simplifying
% 260.89/66.54 | with (62), (64) gives:
% 260.89/66.54 | (67) all_4_65 = all_4_66
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_66, all_4_64, n1, n10, simplifying
% 260.89/66.54 | with (62), (63) gives:
% 260.89/66.54 | (68) all_4_64 = all_4_66
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_69, all_4_64, n1, n10, simplifying
% 260.89/66.54 | with (63), (65) gives:
% 260.89/66.54 | (69) all_4_64 = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (68), (69) imply:
% 260.89/66.54 | (70) all_4_66 = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (70) implies:
% 260.89/66.54 | (71) all_4_66 = all_4_69
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (66), (67) imply:
% 260.89/66.54 | (72) all_4_66 = n0
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (72) implies:
% 260.89/66.54 | (73) all_4_66 = n0
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (71), (73) imply:
% 260.89/66.54 | (74) all_4_69 = n0
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (69), (74) imply:
% 260.89/66.54 | (75) all_4_64 = n0
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (21), (66), (75) imply:
% 260.89/66.54 | (76) sum(n0, n0) = all_4_96
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (37), (73), (74) imply:
% 260.89/66.54 | (77) sum(n0, n0) = all_4_97
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with n0, all_4_96, n0, n0, simplifying with
% 260.89/66.54 | (55), (76) gives:
% 260.89/66.54 | (78) all_4_96 = n0
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_97, all_4_96, n0, n0, simplifying
% 260.89/66.54 | with (76), (77) gives:
% 260.89/66.54 | (79) all_4_96 = all_4_97
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (78), (79) imply:
% 260.89/66.54 | (80) all_4_97 = n0
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (80) implies:
% 260.89/66.54 | (81) all_4_97 = n0
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (25), (78) imply:
% 260.89/66.54 | (82) pred(n0) = all_4_60
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (23), (81) imply:
% 260.89/66.54 | (83) pred(n0) = all_4_63
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (26), (78) imply:
% 260.89/66.54 | (84) succ(n0) = all_4_62
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (41), (81) imply:
% 260.89/66.54 | (85) succ(n0) = all_4_59
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (22) with n1, all_4_59, n0, simplifying with (17),
% 260.89/66.54 | (85) gives:
% 260.89/66.54 | (86) all_4_59 = n1
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (22) with all_4_62, all_4_59, n0, simplifying with
% 260.89/66.54 | (84), (85) gives:
% 260.89/66.54 | (87) all_4_59 = all_4_62
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (44) with n10, all_4_60, n0, simplifying with (49),
% 260.89/66.54 | (82) gives:
% 260.89/66.54 | (88) all_4_60 = n10
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n0, simplifying with
% 260.89/66.54 | (82), (83) gives:
% 260.89/66.54 | (89) all_4_60 = all_4_63
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (86), (87) imply:
% 260.89/66.54 | (90) all_4_62 = n1
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (88), (89) imply:
% 260.89/66.54 | (91) all_4_63 = n10
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (31), (86), (88) imply:
% 260.89/66.54 | (92) sum(n10, n1) = all_4_58
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (8), (88), (90) imply:
% 260.89/66.54 | (93) sum(n10, n1) = all_4_56
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (11), (86), (91) imply:
% 260.89/66.54 | (94) sum(n10, n1) = all_4_57
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (12), (90), (91) imply:
% 260.89/66.54 | (95) sum(n10, n1) = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with n0, all_4_57, n1, n10, simplifying with
% 260.89/66.54 | (14), (94) gives:
% 260.89/66.54 | (96) all_4_57 = n0
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_58, all_4_57, n1, n10, simplifying
% 260.89/66.54 | with (92), (94) gives:
% 260.89/66.54 | (97) all_4_57 = all_4_58
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_57, all_4_56, n1, n10, simplifying
% 260.89/66.54 | with (93), (94) gives:
% 260.89/66.54 | (98) all_4_56 = all_4_57
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_61, all_4_56, n1, n10, simplifying
% 260.89/66.54 | with (93), (95) gives:
% 260.89/66.54 | (99) all_4_56 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (98), (99) imply:
% 260.89/66.54 | (100) all_4_57 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | SIMP: (100) implies:
% 260.89/66.54 | (101) all_4_57 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (96), (97) imply:
% 260.89/66.54 | (102) all_4_58 = n0
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (97), (101) imply:
% 260.89/66.54 | (103) all_4_58 = all_4_61
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (102), (103) imply:
% 260.89/66.54 | (104) all_4_61 = n0
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (99), (104) imply:
% 260.89/66.54 | (105) all_4_56 = n0
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (18), (96), (105) imply:
% 260.89/66.54 | (106) sum(n0, n0) = all_4_94
% 260.89/66.54 |
% 260.89/66.54 | REDUCE: (42), (102), (104) imply:
% 260.89/66.54 | (107) sum(n0, n0) = all_4_95
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with n0, all_4_94, n0, n0, simplifying with
% 260.89/66.54 | (55), (106) gives:
% 260.89/66.54 | (108) all_4_94 = n0
% 260.89/66.54 |
% 260.89/66.54 | GROUND_INST: instantiating (34) with all_4_95, all_4_94, n0, n0, simplifying
% 260.89/66.54 | with (106), (107) gives:
% 260.89/66.54 | (109) all_4_94 = all_4_95
% 260.89/66.54 |
% 260.89/66.54 | COMBINE_EQS: (108), (109) imply:
% 260.89/66.55 | (110) all_4_95 = n0
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (50), (108) imply:
% 260.89/66.55 | (111) pred(n0) = all_4_52
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (4), (110) imply:
% 260.89/66.55 | (112) pred(n0) = all_4_55
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (13), (108) imply:
% 260.89/66.55 | (113) succ(n0) = all_4_54
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (1), (110) imply:
% 260.89/66.55 | (114) succ(n0) = all_4_51
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (22) with n1, all_4_51, n0, simplifying with (17),
% 260.89/66.55 | (114) gives:
% 260.89/66.55 | (115) all_4_51 = n1
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (22) with all_4_54, all_4_51, n0, simplifying with
% 260.89/66.55 | (113), (114) gives:
% 260.89/66.55 | (116) all_4_51 = all_4_54
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (44) with n10, all_4_52, n0, simplifying with (49),
% 260.89/66.55 | (111) gives:
% 260.89/66.55 | (117) all_4_52 = n10
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (44) with all_4_55, all_4_52, n0, simplifying with
% 260.89/66.55 | (111), (112) gives:
% 260.89/66.55 | (118) all_4_52 = all_4_55
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (115), (116) imply:
% 260.89/66.55 | (119) all_4_54 = n1
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (117), (118) imply:
% 260.89/66.55 | (120) all_4_55 = n10
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (120) implies:
% 260.89/66.55 | (121) all_4_55 = n10
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (45), (115), (117) imply:
% 260.89/66.55 | (122) sum(n10, n1) = all_4_50
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (7), (117), (119) imply:
% 260.89/66.55 | (123) sum(n10, n1) = all_4_48
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (27), (115), (121) imply:
% 260.89/66.55 | (124) sum(n10, n1) = all_4_49
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (10), (119), (121) imply:
% 260.89/66.55 | (125) sum(n10, n1) = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (34) with n0, all_4_49, n1, n10, simplifying with
% 260.89/66.55 | (14), (124) gives:
% 260.89/66.55 | (126) all_4_49 = n0
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (34) with all_4_50, all_4_49, n1, n10, simplifying
% 260.89/66.55 | with (122), (124) gives:
% 260.89/66.55 | (127) all_4_49 = all_4_50
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (34) with all_4_49, all_4_48, n1, n10, simplifying
% 260.89/66.55 | with (123), (124) gives:
% 260.89/66.55 | (128) all_4_48 = all_4_49
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (34) with all_4_53, all_4_48, n1, n10, simplifying
% 260.89/66.55 | with (123), (125) gives:
% 260.89/66.55 | (129) all_4_48 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (128), (129) imply:
% 260.89/66.55 | (130) all_4_49 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (130) implies:
% 260.89/66.55 | (131) all_4_49 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (126), (127) imply:
% 260.89/66.55 | (132) all_4_50 = n0
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (127), (131) imply:
% 260.89/66.55 | (133) all_4_50 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (132), (133) imply:
% 260.89/66.55 | (134) all_4_53 = n0
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (129), (134) imply:
% 260.89/66.55 | (135) all_4_48 = n0
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (43), (126), (135) imply:
% 260.89/66.55 | (136) sum(n0, n0) = all_4_92
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (46), (132), (134) imply:
% 260.89/66.55 | (137) sum(n0, n0) = all_4_93
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (34) with n0, all_4_92, n0, n0, simplifying with
% 260.89/66.55 | (55), (136) gives:
% 260.89/66.55 | (138) all_4_92 = n0
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (34) with all_4_93, all_4_92, n0, n0, simplifying
% 260.89/66.55 | with (136), (137) gives:
% 260.89/66.55 | (139) all_4_92 = all_4_93
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (138), (139) imply:
% 260.89/66.55 | (140) all_4_93 = n0
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (140) implies:
% 260.89/66.55 | (141) all_4_93 = n0
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (20), (138) imply:
% 260.89/66.55 | (142) pred(n0) = all_4_44
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (29), (141) imply:
% 260.89/66.55 | (143) pred(n0) = all_4_47
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (2), (138) imply:
% 260.89/66.55 | (144) succ(n0) = all_4_46
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (47), (141) imply:
% 260.89/66.55 | (145) succ(n0) = all_4_43
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (22) with n1, all_4_43, n0, simplifying with (17),
% 260.89/66.55 | (145) gives:
% 260.89/66.55 | (146) all_4_43 = n1
% 260.89/66.55 |
% 260.89/66.55 | REF_CLOSE: (5), (6), (14), (19), (22), (28), (32), (34), (35), (36), (44),
% 260.89/66.55 | (49), (55), (142), (143), (144), (145), (146) are inconsistent by
% 260.89/66.55 | sub-proof #119.
% 260.89/66.55 |
% 260.89/66.55 End of proof
% 260.89/66.55
% 260.89/66.55 Sub-proof #60 shows that the following formulas are inconsistent:
% 260.89/66.55 ----------------------------------------------------------------
% 260.89/66.55 (1) succ(all_4_95) = all_4_51
% 260.89/66.55 (2) succ(all_4_92) = all_4_46
% 260.89/66.55 (3) pred(all_4_95) = all_4_55
% 260.89/66.55 (4) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.55 (5) sum(n9, n0) = n9
% 260.89/66.55 (6) ~ (all_4_90 = all_4_91)
% 260.89/66.55 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.55 (8) sum(n3, n3) = n6
% 260.89/66.55 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.55 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.55 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.55 (12) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.55 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.55 (14) succ(all_4_94) = all_4_54
% 260.89/66.55 (15) pred(n8) = n7
% 260.89/66.55 (16) pred(all_4_99) = all_4_71
% 260.89/66.55 (17) sum(n6, n8) = n3
% 260.89/66.55 (18) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.55 (19) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.55 (20) pred(all_4_92) = all_4_44
% 260.89/66.55 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.55 (22) succ(n10) = n0
% 260.89/66.55 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.55 | ~ (succ(v2) = v0))
% 260.89/66.55 (24) pred(all_4_97) = all_4_63
% 260.89/66.55 (25) succ(all_4_99) = all_4_67
% 260.89/66.55 (26) pred(all_4_96) = all_4_60
% 260.89/66.55 (27) succ(all_4_96) = all_4_62
% 260.89/66.55 (28) all_4_98 = n2
% 260.89/66.55 (29) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.55 (30) pred(n7) = n6
% 260.89/66.55 (31) succ(n7) = n8
% 260.89/66.55 (32) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.55 (33) pred(all_4_93) = all_4_47
% 260.89/66.55 (34) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.55 (35) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.55 (36) sum(n5, n5) = n10
% 260.89/66.55 (37) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.55 (38) succ(n2) = n3
% 260.89/66.55 (39) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.55 (40) succ(n8) = n9
% 260.89/66.55 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.55 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.55 (42) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.55 (43) sum(n9, n9) = n7
% 260.89/66.55 (44) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.55 (45) pred(n10) = n9
% 260.89/66.55 (46) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.55 (47) sum(n7, n9) = n5
% 260.89/66.55 (48) all_4_99 = n2
% 260.89/66.55 (49) pred(n2) = n1
% 260.89/66.55 (50) succ(all_4_98) = all_4_70
% 260.89/66.55 (51) sum(n4, n4) = n8
% 260.89/66.55 (52) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.55 (53) succ(all_4_97) = all_4_59
% 260.89/66.55 (54) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.55 (55) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.55 (56) sum(n1, n3) = n4
% 260.89/66.55 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.55 | ~ (pred(v2) = v0))
% 260.89/66.55 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.55 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.55 (60) succ(all_4_93) = all_4_43
% 260.89/66.55 (61) pred(all_4_98) = all_4_68
% 260.89/66.55 (62) pred(all_4_94) = all_4_52
% 260.89/66.55
% 260.89/66.55 Begin of proof
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (28), (61) imply:
% 260.89/66.55 | (63) pred(n2) = all_4_68
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (16), (48) imply:
% 260.89/66.55 | (64) pred(n2) = all_4_71
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (28), (50) imply:
% 260.89/66.55 | (65) succ(n2) = all_4_70
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (25), (48) imply:
% 260.89/66.55 | (66) succ(n2) = all_4_67
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with n3, all_4_67, n2, simplifying with (38),
% 260.89/66.55 | (66) gives:
% 260.89/66.55 | (67) all_4_67 = n3
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n2, simplifying with
% 260.89/66.55 | (65), (66) gives:
% 260.89/66.55 | (68) all_4_67 = all_4_70
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (57) with n1, all_4_68, n2, simplifying with (49),
% 260.89/66.55 | (63) gives:
% 260.89/66.55 | (69) all_4_68 = n1
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n2, simplifying with
% 260.89/66.55 | (63), (64) gives:
% 260.89/66.55 | (70) all_4_68 = all_4_71
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (67), (68) imply:
% 260.89/66.55 | (71) all_4_70 = n3
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (69), (70) imply:
% 260.89/66.55 | (72) all_4_71 = n1
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (39), (67), (69) imply:
% 260.89/66.55 | (73) sum(n1, n3) = all_4_66
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (52), (69), (71) imply:
% 260.89/66.55 | (74) sum(n1, n3) = all_4_64
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (34), (67), (72) imply:
% 260.89/66.55 | (75) sum(n1, n3) = all_4_65
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (10), (71), (72) imply:
% 260.89/66.55 | (76) sum(n1, n3) = all_4_69
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with n4, all_4_65, n3, n1, simplifying with
% 260.89/66.55 | (56), (75) gives:
% 260.89/66.55 | (77) all_4_65 = n4
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_66, all_4_65, n3, n1, simplifying
% 260.89/66.55 | with (73), (75) gives:
% 260.89/66.55 | (78) all_4_65 = all_4_66
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_66, all_4_64, n3, n1, simplifying
% 260.89/66.55 | with (73), (74) gives:
% 260.89/66.55 | (79) all_4_64 = all_4_66
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_69, all_4_64, n3, n1, simplifying
% 260.89/66.55 | with (74), (76) gives:
% 260.89/66.55 | (80) all_4_64 = all_4_69
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (79), (80) imply:
% 260.89/66.55 | (81) all_4_66 = all_4_69
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (81) implies:
% 260.89/66.55 | (82) all_4_66 = all_4_69
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (77), (78) imply:
% 260.89/66.55 | (83) all_4_66 = n4
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (83) implies:
% 260.89/66.55 | (84) all_4_66 = n4
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (82), (84) imply:
% 260.89/66.55 | (85) all_4_69 = n4
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (80), (85) imply:
% 260.89/66.55 | (86) all_4_64 = n4
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (21), (77), (86) imply:
% 260.89/66.55 | (87) sum(n4, n4) = all_4_96
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (46), (84), (85) imply:
% 260.89/66.55 | (88) sum(n4, n4) = all_4_97
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with n8, all_4_96, n4, n4, simplifying with
% 260.89/66.55 | (51), (87) gives:
% 260.89/66.55 | (89) all_4_96 = n8
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_97, all_4_96, n4, n4, simplifying
% 260.89/66.55 | with (87), (88) gives:
% 260.89/66.55 | (90) all_4_96 = all_4_97
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (89), (90) imply:
% 260.89/66.55 | (91) all_4_97 = n8
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (91) implies:
% 260.89/66.55 | (92) all_4_97 = n8
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (26), (89) imply:
% 260.89/66.55 | (93) pred(n8) = all_4_60
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (24), (92) imply:
% 260.89/66.55 | (94) pred(n8) = all_4_63
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (27), (89) imply:
% 260.89/66.55 | (95) succ(n8) = all_4_62
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (53), (92) imply:
% 260.89/66.55 | (96) succ(n8) = all_4_59
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with n9, all_4_59, n8, simplifying with (40),
% 260.89/66.55 | (96) gives:
% 260.89/66.55 | (97) all_4_59 = n9
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n8, simplifying with
% 260.89/66.55 | (95), (96) gives:
% 260.89/66.55 | (98) all_4_59 = all_4_62
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (57) with n7, all_4_60, n8, simplifying with (15),
% 260.89/66.55 | (93) gives:
% 260.89/66.55 | (99) all_4_60 = n7
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n8, simplifying with
% 260.89/66.55 | (93), (94) gives:
% 260.89/66.55 | (100) all_4_60 = all_4_63
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (97), (98) imply:
% 260.89/66.55 | (101) all_4_62 = n9
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (99), (100) imply:
% 260.89/66.55 | (102) all_4_63 = n7
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (35), (97), (99) imply:
% 260.89/66.55 | (103) sum(n7, n9) = all_4_58
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (9), (99), (101) imply:
% 260.89/66.55 | (104) sum(n7, n9) = all_4_56
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (12), (97), (102) imply:
% 260.89/66.55 | (105) sum(n7, n9) = all_4_57
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (13), (101), (102) imply:
% 260.89/66.55 | (106) sum(n7, n9) = all_4_61
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with n5, all_4_57, n9, n7, simplifying with
% 260.89/66.55 | (47), (105) gives:
% 260.89/66.55 | (107) all_4_57 = n5
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_58, all_4_57, n9, n7, simplifying
% 260.89/66.55 | with (103), (105) gives:
% 260.89/66.55 | (108) all_4_57 = all_4_58
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_57, all_4_56, n9, n7, simplifying
% 260.89/66.55 | with (104), (105) gives:
% 260.89/66.55 | (109) all_4_56 = all_4_57
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_61, all_4_56, n9, n7, simplifying
% 260.89/66.55 | with (104), (106) gives:
% 260.89/66.55 | (110) all_4_56 = all_4_61
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (109), (110) imply:
% 260.89/66.55 | (111) all_4_57 = all_4_61
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (111) implies:
% 260.89/66.55 | (112) all_4_57 = all_4_61
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (107), (108) imply:
% 260.89/66.55 | (113) all_4_58 = n5
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (108), (112) imply:
% 260.89/66.55 | (114) all_4_58 = all_4_61
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (113), (114) imply:
% 260.89/66.55 | (115) all_4_61 = n5
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (110), (115) imply:
% 260.89/66.55 | (116) all_4_56 = n5
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (18), (107), (116) imply:
% 260.89/66.55 | (117) sum(n5, n5) = all_4_94
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (54), (113), (115) imply:
% 260.89/66.55 | (118) sum(n5, n5) = all_4_95
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with n10, all_4_94, n5, n5, simplifying with
% 260.89/66.55 | (36), (117) gives:
% 260.89/66.55 | (119) all_4_94 = n10
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_95, all_4_94, n5, n5, simplifying
% 260.89/66.55 | with (117), (118) gives:
% 260.89/66.55 | (120) all_4_94 = all_4_95
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (119), (120) imply:
% 260.89/66.55 | (121) all_4_95 = n10
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (62), (119) imply:
% 260.89/66.55 | (122) pred(n10) = all_4_52
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (3), (121) imply:
% 260.89/66.55 | (123) pred(n10) = all_4_55
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (14), (119) imply:
% 260.89/66.55 | (124) succ(n10) = all_4_54
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (1), (121) imply:
% 260.89/66.55 | (125) succ(n10) = all_4_51
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with n0, all_4_51, n10, simplifying with (22),
% 260.89/66.55 | (125) gives:
% 260.89/66.55 | (126) all_4_51 = n0
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with all_4_54, all_4_51, n10, simplifying with
% 260.89/66.55 | (124), (125) gives:
% 260.89/66.55 | (127) all_4_51 = all_4_54
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (57) with n9, all_4_52, n10, simplifying with (45),
% 260.89/66.55 | (122) gives:
% 260.89/66.55 | (128) all_4_52 = n9
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n10, simplifying with
% 260.89/66.55 | (122), (123) gives:
% 260.89/66.55 | (129) all_4_52 = all_4_55
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (126), (127) imply:
% 260.89/66.55 | (130) all_4_54 = n0
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (128), (129) imply:
% 260.89/66.55 | (131) all_4_55 = n9
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (131) implies:
% 260.89/66.55 | (132) all_4_55 = n9
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (58), (126), (128) imply:
% 260.89/66.55 | (133) sum(n9, n0) = all_4_50
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (7), (128), (130) imply:
% 260.89/66.55 | (134) sum(n9, n0) = all_4_48
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (29), (126), (132) imply:
% 260.89/66.55 | (135) sum(n9, n0) = all_4_49
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (11), (130), (132) imply:
% 260.89/66.55 | (136) sum(n9, n0) = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with n9, all_4_49, n0, n9, simplifying with
% 260.89/66.55 | (5), (135) gives:
% 260.89/66.55 | (137) all_4_49 = n9
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_50, all_4_49, n0, n9, simplifying
% 260.89/66.55 | with (133), (135) gives:
% 260.89/66.55 | (138) all_4_49 = all_4_50
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_49, all_4_48, n0, n9, simplifying
% 260.89/66.55 | with (134), (135) gives:
% 260.89/66.55 | (139) all_4_48 = all_4_49
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_53, all_4_48, n0, n9, simplifying
% 260.89/66.55 | with (134), (136) gives:
% 260.89/66.55 | (140) all_4_48 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (139), (140) imply:
% 260.89/66.55 | (141) all_4_49 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (141) implies:
% 260.89/66.55 | (142) all_4_49 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (137), (138) imply:
% 260.89/66.55 | (143) all_4_50 = n9
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (138), (142) imply:
% 260.89/66.55 | (144) all_4_50 = all_4_53
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (143), (144) imply:
% 260.89/66.55 | (145) all_4_53 = n9
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (140), (145) imply:
% 260.89/66.55 | (146) all_4_48 = n9
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (55), (137), (146) imply:
% 260.89/66.55 | (147) sum(n9, n9) = all_4_92
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (59), (143), (145) imply:
% 260.89/66.55 | (148) sum(n9, n9) = all_4_93
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with n7, all_4_92, n9, n9, simplifying with
% 260.89/66.55 | (43), (147) gives:
% 260.89/66.55 | (149) all_4_92 = n7
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (41) with all_4_93, all_4_92, n9, n9, simplifying
% 260.89/66.55 | with (147), (148) gives:
% 260.89/66.55 | (150) all_4_92 = all_4_93
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (149), (150) imply:
% 260.89/66.55 | (151) all_4_93 = n7
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (151) implies:
% 260.89/66.55 | (152) all_4_93 = n7
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (20), (149) imply:
% 260.89/66.55 | (153) pred(n7) = all_4_44
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (33), (152) imply:
% 260.89/66.55 | (154) pred(n7) = all_4_47
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (2), (149) imply:
% 260.89/66.55 | (155) succ(n7) = all_4_46
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (60), (152) imply:
% 260.89/66.55 | (156) succ(n7) = all_4_43
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (23) with n8, all_4_43, n7, simplifying with (31),
% 260.89/66.55 | (156) gives:
% 260.89/66.55 | (157) all_4_43 = n8
% 260.89/66.55 |
% 260.89/66.55 | REF_CLOSE: (4), (6), (8), (17), (19), (23), (30), (32), (37), (41), (42),
% 260.89/66.55 | (44), (57), (153), (154), (155), (156), (157) are inconsistent by
% 260.89/66.55 | sub-proof #121.
% 260.89/66.55 |
% 260.89/66.55 End of proof
% 260.89/66.55
% 260.89/66.55 Sub-proof #61 shows that the following formulas are inconsistent:
% 260.89/66.55 ----------------------------------------------------------------
% 260.89/66.55 (1) sum(n4, n6) = n10
% 260.89/66.55 (2) succ(all_4_92) = all_4_46
% 260.89/66.55 (3) succ(n5) = all_4_59
% 260.89/66.55 (4) pred(n5) = all_4_63
% 260.89/66.55 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.55 (6) succ(n9) = all_4_51
% 260.89/66.55 (7) succ(n9) = n10
% 260.89/66.55 (8) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.55 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.55 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.55 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.55 (12) sum(n2, n4) = n6
% 260.89/66.55 (13) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.55 (14) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.55 (15) all_4_49 = n7
% 260.89/66.55 (16) sum(n8, n8) = n5
% 260.89/66.55 (17) succ(n4) = all_4_67
% 260.89/66.55 (18) all_4_50 = n7
% 260.89/66.55 (19) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.55 (20) sum(n3, n5) = n8
% 260.89/66.55 (21) pred(n9) = all_4_52
% 260.89/66.55 (22) sum(n10, n10) = n9
% 260.89/66.55 (23) all_4_48 = all_4_53
% 260.89/66.55 (24) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.55 (25) pred(n5) = n4
% 260.89/66.55 (26) pred(all_4_92) = all_4_44
% 260.89/66.55 (27) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.55 (28) pred(n5) = all_4_60
% 260.89/66.55 (29) pred(n9) = all_4_55
% 260.89/66.55 (30) pred(n4) = n3
% 260.89/66.55 (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.55 | ~ (succ(v2) = v0))
% 260.89/66.55 (32) pred(n9) = n8
% 260.89/66.55 (33) succ(n3) = n4
% 260.89/66.55 (34) pred(n3) = n2
% 260.89/66.55 (35) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.55 (36) all_4_53 = n7
% 260.89/66.55 (37) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.55 (38) pred(all_4_93) = all_4_47
% 260.89/66.55 (39) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.55 (40) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.55 (41) succ(n9) = all_4_54
% 260.89/66.55 (42) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.55 (43) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.55 (44) all_4_99 = n4
% 260.89/66.55 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.55 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.55 (46) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.55 (47) sum(n6, n6) = n1
% 260.89/66.55 (48) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.55 (49) succ(n5) = n6
% 260.89/66.55 (50) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.55 (51) pred(n4) = all_4_68
% 260.89/66.55 (52) succ(n4) = n5
% 260.89/66.55 (53) succ(n5) = all_4_62
% 260.89/66.55 (54) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.55 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.55 (55) pred(n4) = all_4_71
% 260.89/66.55 (56) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.55 (57) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.55 (58) sum(n7, n7) = n3
% 260.89/66.55 (59) all_4_98 = n4
% 260.89/66.55 (60) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.55 (61) sum(n8, n10) = all_4_53
% 260.89/66.55 (62) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.55 | ~ (pred(v2) = v0))
% 260.89/66.55 (63) succ(n4) = all_4_70
% 260.89/66.55 (64) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.55 (65) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.55 (66) succ(all_4_93) = all_4_43
% 260.89/66.55
% 260.89/66.55 Begin of proof
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (23), (36) imply:
% 260.89/66.55 | (67) all_4_48 = n7
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (15), (60), (67) imply:
% 260.89/66.55 | (68) sum(n7, n7) = all_4_92
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (18), (36), (65) imply:
% 260.89/66.55 | (69) sum(n7, n7) = all_4_93
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (36), (61) imply:
% 260.89/66.55 | (70) sum(n8, n10) = n7
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (45) with n3, all_4_92, n7, n7, simplifying with
% 260.89/66.55 | (58), (68) gives:
% 260.89/66.55 | (71) all_4_92 = n3
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (45) with all_4_93, all_4_92, n7, n7, simplifying
% 260.89/66.55 | with (68), (69) gives:
% 260.89/66.55 | (72) all_4_92 = all_4_93
% 260.89/66.55 |
% 260.89/66.55 | COMBINE_EQS: (71), (72) imply:
% 260.89/66.55 | (73) all_4_93 = n3
% 260.89/66.55 |
% 260.89/66.55 | SIMP: (73) implies:
% 260.89/66.55 | (74) all_4_93 = n3
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (26), (71) imply:
% 260.89/66.55 | (75) pred(n3) = all_4_44
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (38), (74) imply:
% 260.89/66.55 | (76) pred(n3) = all_4_47
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (2), (71) imply:
% 260.89/66.55 | (77) succ(n3) = all_4_46
% 260.89/66.55 |
% 260.89/66.55 | REDUCE: (66), (74) imply:
% 260.89/66.55 | (78) succ(n3) = all_4_43
% 260.89/66.55 |
% 260.89/66.55 | GROUND_INST: instantiating (31) with n4, all_4_43, n3, simplifying with (33),
% 260.89/66.55 | (78) gives:
% 260.89/66.55 | (79) all_4_43 = n4
% 260.89/66.55 |
% 260.89/66.55 | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 260.89/66.55 | (14), (16), (17), (19), (20), (21), (22), (24), (25), (27), (28),
% 260.89/66.55 | (29), (30), (31), (32), (34), (35), (37), (39), (40), (41), (42),
% 260.89/66.55 | (43), (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 260.89/66.55 | (54), (55), (56), (57), (58), (59), (60), (62), (63), (64), (65),
% 260.89/66.55 | (70), (75), (76), (77), (78), (79) are inconsistent by sub-proof
% 260.89/66.55 | #62.
% 260.89/66.55 |
% 260.89/66.55 End of proof
% 260.89/66.55
% 260.89/66.55 Sub-proof #62 shows that the following formulas are inconsistent:
% 260.89/66.55 ----------------------------------------------------------------
% 260.89/66.55 (1) pred(n3) = all_4_47
% 260.89/66.55 (2) sum(n4, n6) = n10
% 260.89/66.55 (3) succ(n5) = all_4_59
% 260.89/66.55 (4) pred(n5) = all_4_63
% 260.89/66.55 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.55 (6) succ(n9) = all_4_51
% 260.89/66.55 (7) succ(n9) = n10
% 260.89/66.55 (8) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.55 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.55 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.55 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.55 (12) sum(n2, n4) = n6
% 260.89/66.55 (13) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.55 (14) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.55 (15) sum(n8, n8) = n5
% 260.89/66.55 (16) succ(n4) = all_4_67
% 260.89/66.55 (17) sum(n8, n10) = n7
% 260.89/66.55 (18) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.55 (19) sum(n3, n5) = n8
% 260.89/66.55 (20) pred(n9) = all_4_52
% 260.89/66.55 (21) sum(n10, n10) = n9
% 260.89/66.55 (22) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.55 (23) pred(n5) = n4
% 260.89/66.55 (24) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.55 (25) pred(n5) = all_4_60
% 260.89/66.55 (26) pred(n9) = all_4_55
% 260.89/66.55 (27) pred(n4) = n3
% 260.89/66.55 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.55 | ~ (succ(v2) = v0))
% 260.89/66.55 (29) all_4_43 = n4
% 260.89/66.55 (30) pred(n9) = n8
% 260.89/66.55 (31) pred(n3) = n2
% 260.89/66.55 (32) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.55 (33) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.55 (34) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.55 (35) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.55 (36) succ(n9) = all_4_54
% 260.89/66.55 (37) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.55 (38) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.55 (39) all_4_99 = n4
% 260.89/66.55 (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.55 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.55 (41) succ(n3) = all_4_46
% 260.89/66.55 (42) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.56 (43) sum(n6, n6) = n1
% 260.89/66.56 (44) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.56 (45) succ(n5) = n6
% 260.89/66.56 (46) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.56 (47) pred(n4) = all_4_68
% 260.89/66.56 (48) succ(n4) = n5
% 260.89/66.56 (49) pred(n3) = all_4_44
% 260.89/66.56 (50) succ(n5) = all_4_62
% 260.89/66.56 (51) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.56 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.56 (52) pred(n4) = all_4_71
% 260.89/66.56 (53) succ(n3) = all_4_43
% 260.89/66.56 (54) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.56 (55) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.56 (56) sum(n7, n7) = n3
% 260.89/66.56 (57) all_4_98 = n4
% 260.89/66.56 (58) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.56 (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.56 | ~ (pred(v2) = v0))
% 260.89/66.56 (60) succ(n4) = all_4_70
% 260.89/66.56 (61) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.56 (62) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.56
% 260.89/66.56 Begin of proof
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (28) with all_4_46, all_4_43, n3, simplifying with
% 260.89/66.56 | (41), (53) gives:
% 260.89/66.56 | (63) all_4_43 = all_4_46
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (59) with n2, all_4_44, n3, simplifying with (31),
% 260.89/66.56 | (49) gives:
% 260.89/66.56 | (64) all_4_44 = n2
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (59) with all_4_47, all_4_44, n3, simplifying with
% 260.89/66.56 | (1), (49) gives:
% 260.89/66.56 | (65) all_4_44 = all_4_47
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (29), (63) imply:
% 260.89/66.56 | (66) all_4_46 = n4
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (64), (65) imply:
% 260.89/66.56 | (67) all_4_47 = n2
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (29), (44), (64) imply:
% 260.89/66.56 | (68) sum(n2, n4) = all_4_42
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (5), (64), (66) imply:
% 260.89/66.56 | (69) sum(n2, n4) = all_4_40
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (22), (29), (67) imply:
% 260.89/66.56 | (70) sum(n2, n4) = all_4_41
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (33), (66), (67) imply:
% 260.89/66.56 | (71) sum(n2, n4) = all_4_45
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (40) with n6, all_4_41, n4, n2, simplifying with
% 260.89/66.56 | (12), (70) gives:
% 260.89/66.56 | (72) all_4_41 = n6
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (40) with all_4_42, all_4_41, n4, n2, simplifying
% 260.89/66.56 | with (68), (70) gives:
% 260.89/66.56 | (73) all_4_41 = all_4_42
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (40) with all_4_41, all_4_40, n4, n2, simplifying
% 260.89/66.56 | with (69), (70) gives:
% 260.89/66.56 | (74) all_4_40 = all_4_41
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (40) with all_4_45, all_4_40, n4, n2, simplifying
% 260.89/66.56 | with (69), (71) gives:
% 260.89/66.56 | (75) all_4_40 = all_4_45
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (74), (75) imply:
% 260.89/66.56 | (76) all_4_41 = all_4_45
% 260.89/66.56 |
% 260.89/66.56 | SIMP: (76) implies:
% 260.89/66.56 | (77) all_4_41 = all_4_45
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (72), (73) imply:
% 260.89/66.56 | (78) all_4_42 = n6
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (73), (77) imply:
% 260.89/66.56 | (79) all_4_42 = all_4_45
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (78), (79) imply:
% 260.89/66.56 | (80) all_4_45 = n6
% 260.89/66.56 |
% 260.89/66.56 | SIMP: (80) implies:
% 260.89/66.56 | (81) all_4_45 = n6
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (75), (81) imply:
% 260.89/66.56 | (82) all_4_40 = n6
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (37), (72), (82) imply:
% 260.89/66.56 | (83) sum(n6, n6) = all_4_90
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (42), (78), (81) imply:
% 260.89/66.56 | (84) sum(n6, n6) = all_4_91
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (40) with n1, all_4_91, n6, n6, simplifying with
% 260.89/66.56 | (43), (84) gives:
% 260.89/66.56 | (85) all_4_91 = n1
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (40) with n1, all_4_90, n6, n6, simplifying with
% 260.89/66.56 | (43), (83) gives:
% 260.89/66.56 | (86) all_4_90 = n1
% 260.89/66.56 |
% 260.89/66.56 | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 260.89/66.56 | (16), (17), (18), (19), (20), (21), (23), (24), (25), (26), (27),
% 260.89/66.56 | (28), (30), (32), (34), (35), (36), (38), (39), (40), (45), (46),
% 260.89/66.56 | (47), (48), (50), (51), (52), (54), (55), (56), (57), (58), (59),
% 260.89/66.56 | (60), (61), (62), (85), (86) are inconsistent by sub-proof #63.
% 260.89/66.56 |
% 260.89/66.56 End of proof
% 260.89/66.56
% 260.89/66.56 Sub-proof #63 shows that the following formulas are inconsistent:
% 260.89/66.56 ----------------------------------------------------------------
% 260.89/66.56 (1) sum(n4, n6) = n10
% 260.89/66.56 (2) succ(n5) = all_4_59
% 260.89/66.56 (3) pred(n5) = all_4_63
% 260.89/66.56 (4) succ(n9) = all_4_51
% 260.89/66.56 (5) succ(n9) = n10
% 260.89/66.56 (6) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.56 (7) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.56 (8) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.56 (9) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.56 (10) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.56 (11) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.56 (12) sum(n8, n8) = n5
% 260.89/66.56 (13) succ(n4) = all_4_67
% 260.89/66.56 (14) all_4_91 = n1
% 260.89/66.56 (15) sum(n8, n10) = n7
% 260.89/66.56 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.56 (17) sum(n3, n5) = n8
% 260.89/66.56 (18) pred(n9) = all_4_52
% 260.89/66.56 (19) sum(n10, n10) = n9
% 260.89/66.56 (20) pred(n5) = n4
% 260.89/66.56 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.56 (22) pred(n5) = all_4_60
% 260.89/66.56 (23) pred(n9) = all_4_55
% 260.89/66.56 (24) pred(n4) = n3
% 260.89/66.56 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.56 | ~ (succ(v2) = v0))
% 260.89/66.56 (26) pred(n9) = n8
% 260.89/66.56 (27) all_4_90 = n1
% 260.89/66.56 (28) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.56 (29) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.56 (30) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.56 (31) succ(n9) = all_4_54
% 260.89/66.56 (32) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.56 (33) all_4_99 = n4
% 260.89/66.56 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.56 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.56 (35) succ(n5) = n6
% 260.89/66.56 (36) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.56 (37) pred(n4) = all_4_68
% 260.89/66.56 (38) succ(n4) = n5
% 260.89/66.56 (39) succ(n5) = all_4_62
% 260.89/66.56 (40) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.56 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.56 (41) pred(n4) = all_4_71
% 260.89/66.56 (42) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.56 (43) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.56 (44) sum(n7, n7) = n3
% 260.89/66.56 (45) all_4_98 = n4
% 260.89/66.56 (46) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.56 (47) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.56 | ~ (pred(v2) = v0))
% 260.89/66.56 (48) succ(n4) = all_4_70
% 260.89/66.56 (49) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.56 (50) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.56
% 260.89/66.56 Begin of proof
% 260.89/66.56 |
% 260.89/66.56 | BETA: splitting (40) gives:
% 260.89/66.56 |
% 260.89/66.56 | Case 1:
% 260.89/66.56 | |
% 260.89/66.56 | | (51) ~ (all_4_90 = all_4_91)
% 260.89/66.56 | |
% 260.89/66.56 | | REDUCE: (14), (27), (51) imply:
% 260.89/66.56 | | (52) $false
% 260.89/66.56 | |
% 260.89/66.56 | | CLOSE: (52) is inconsistent.
% 260.89/66.56 | |
% 260.89/66.56 | Case 2:
% 260.89/66.56 | |
% 260.89/66.56 | | (53) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.56 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.56 | |
% 260.89/66.56 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 260.89/66.56 | | (13), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 260.89/66.56 | | (25), (26), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 260.89/66.56 | | (37), (38), (39), (41), (42), (43), (44), (45), (46), (47), (48),
% 260.89/66.56 | | (49), (50), (53) are inconsistent by sub-proof #64.
% 260.89/66.56 | |
% 260.89/66.56 | End of split
% 260.89/66.56 |
% 260.89/66.56 End of proof
% 260.89/66.56
% 260.89/66.56 Sub-proof #64 shows that the following formulas are inconsistent:
% 260.89/66.56 ----------------------------------------------------------------
% 260.89/66.56 (1) sum(n4, n6) = n10
% 260.89/66.56 (2) succ(n5) = all_4_59
% 260.89/66.56 (3) pred(n5) = all_4_63
% 260.89/66.56 (4) succ(n9) = all_4_51
% 260.89/66.56 (5) succ(n9) = n10
% 260.89/66.56 (6) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.56 (7) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.56 (8) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.56 (9) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.56 (10) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.56 (11) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.56 (12) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.56 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.56 (13) sum(n8, n8) = n5
% 260.89/66.56 (14) succ(n4) = all_4_67
% 260.89/66.56 (15) sum(n8, n10) = n7
% 260.89/66.56 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.56 (17) sum(n3, n5) = n8
% 260.89/66.56 (18) pred(n9) = all_4_52
% 260.89/66.56 (19) sum(n10, n10) = n9
% 260.89/66.56 (20) pred(n5) = n4
% 260.89/66.56 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.56 (22) pred(n5) = all_4_60
% 260.89/66.56 (23) pred(n9) = all_4_55
% 260.89/66.56 (24) pred(n4) = n3
% 260.89/66.56 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.56 | ~ (succ(v2) = v0))
% 260.89/66.56 (26) pred(n9) = n8
% 260.89/66.56 (27) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.56 (28) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.56 (29) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.56 (30) succ(n9) = all_4_54
% 260.89/66.56 (31) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.56 (32) all_4_99 = n4
% 260.89/66.56 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.56 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.56 (34) succ(n5) = n6
% 260.89/66.56 (35) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.56 (36) pred(n4) = all_4_68
% 260.89/66.56 (37) succ(n4) = n5
% 260.89/66.56 (38) succ(n5) = all_4_62
% 260.89/66.56 (39) pred(n4) = all_4_71
% 260.89/66.56 (40) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.56 (41) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.56 (42) sum(n7, n7) = n3
% 260.89/66.56 (43) all_4_98 = n4
% 260.89/66.56 (44) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.56 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.56 | ~ (pred(v2) = v0))
% 260.89/66.56 (46) succ(n4) = all_4_70
% 260.89/66.56 (47) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.56 (48) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.56
% 260.89/66.56 Begin of proof
% 260.89/66.56 |
% 260.89/66.56 | BETA: splitting (12) gives:
% 260.89/66.56 |
% 260.89/66.56 | Case 1:
% 260.89/66.56 | |
% 260.89/66.56 | | (49) ~ (all_4_92 = all_4_93)
% 260.89/66.56 | |
% 260.89/66.56 | | GROUND_INST: instantiating (25) with n10, all_4_51, n9, simplifying with
% 260.89/66.56 | | (4), (5) gives:
% 260.89/66.56 | | (50) all_4_51 = n10
% 260.89/66.56 | |
% 260.89/66.56 | | REF_CLOSE: (4), (6), (9), (15), (18), (23), (25), (26), (27), (30), (33),
% 260.89/66.56 | | (42), (44), (45), (47), (48), (49), (50) are inconsistent by
% 260.89/66.56 | | sub-proof #112.
% 260.89/66.56 | |
% 260.89/66.56 | Case 2:
% 260.89/66.56 | |
% 260.89/66.56 | | (51) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.89/66.56 | | all_4_99)
% 260.89/66.56 | |
% 260.89/66.56 | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (13), (14), (16), (17),
% 260.89/66.56 | | (19), (20), (21), (22), (24), (25), (28), (29), (31), (32), (33),
% 260.89/66.56 | | (34), (35), (36), (37), (38), (39), (40), (41), (43), (45), (46),
% 260.89/66.56 | | (51) are inconsistent by sub-proof #75.
% 260.89/66.56 | |
% 260.89/66.56 | End of split
% 260.89/66.56 |
% 260.89/66.56 End of proof
% 260.89/66.56
% 260.89/66.56 Sub-proof #65 shows that the following formulas are inconsistent:
% 260.89/66.56 ----------------------------------------------------------------
% 260.89/66.56 (1) succ(n2) = all_4_62
% 260.89/66.56 (2) pred(n8) = all_4_55
% 260.89/66.56 (3) succ(n10) = all_4_46
% 260.89/66.56 (4) pred(n10) = all_4_47
% 260.89/66.56 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.56 (6) sum(n9, n0) = n9
% 260.89/66.56 (7) pred(n2) = all_4_60
% 260.89/66.56 (8) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.56 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.56 (10) pred(n2) = all_4_63
% 260.89/66.56 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.56 (12) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.56 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.56 (14) pred(n8) = n7
% 260.89/66.56 (15) pred(n10) = all_4_44
% 260.89/66.56 (16) all_4_98 = n6
% 260.89/66.56 (17) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.56 (18) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.56 (19) all_4_96 = n2
% 260.89/66.56 (20) succ(n10) = all_4_43
% 260.89/66.56 (21) succ(n10) = n0
% 260.89/66.56 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.56 | ~ (succ(v2) = v0))
% 260.89/66.56 (23) succ(n8) = all_4_51
% 260.89/66.56 (24) all_4_97 = n2
% 260.89/66.56 (25) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.56 (26) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.56 (27) succ(n8) = all_4_54
% 260.89/66.56 (28) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.56 (29) sum(n5, n5) = n10
% 260.89/66.56 (30) pred(n8) = all_4_52
% 260.89/66.56 (31) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.56 (32) succ(n2) = n3
% 260.89/66.56 (33) succ(n8) = n9
% 260.89/66.56 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.56 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.56 (35) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.56 (36) sum(n9, n9) = n7
% 260.89/66.56 (37) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.56 (38) pred(n10) = n9
% 260.89/66.56 (39) sum(n7, n9) = n5
% 260.89/66.56 (40) succ(n2) = all_4_59
% 260.89/66.56 (41) pred(n2) = n1
% 260.89/66.56 (42) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.56 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.56 (43) sum(n4, n4) = n8
% 260.89/66.56 (44) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.56 (45) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.56 (46) all_4_99 = n6
% 260.89/66.56 (47) sum(n1, n3) = n4
% 260.89/66.56 (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.56 | ~ (pred(v2) = v0))
% 260.89/66.56 (49) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.56 (50) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.56
% 260.89/66.56 Begin of proof
% 260.89/66.56 |
% 260.89/66.56 | BETA: splitting (42) gives:
% 260.89/66.56 |
% 260.89/66.56 | Case 1:
% 260.89/66.56 | |
% 260.89/66.56 | | (51) ~ (all_4_90 = all_4_91)
% 260.89/66.56 | |
% 260.89/66.56 | | GROUND_INST: instantiating (22) with n0, all_4_43, n10, simplifying with
% 260.89/66.56 | | (20), (21) gives:
% 260.89/66.56 | | (52) all_4_43 = n0
% 260.89/66.56 | |
% 260.89/66.56 | | REF_CLOSE: (3), (4), (5), (6), (15), (18), (20), (22), (26), (31), (34),
% 260.89/66.56 | | (35), (36), (37), (38), (48), (51), (52) are inconsistent by
% 260.89/66.56 | | sub-proof #124.
% 260.89/66.56 | |
% 260.89/66.56 | Case 2:
% 260.89/66.56 | |
% 260.89/66.56 | | (53) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.89/66.56 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.56 | |
% 260.89/66.56 | | REF_CLOSE: (1), (2), (7), (8), (9), (10), (11), (12), (13), (14), (16),
% 260.89/66.56 | | (17), (19), (22), (23), (24), (25), (27), (28), (29), (30), (32),
% 260.89/66.56 | | (33), (34), (39), (40), (41), (43), (44), (45), (46), (47), (48),
% 260.89/66.56 | | (49), (50), (53) are inconsistent by sub-proof #78.
% 260.89/66.56 | |
% 260.89/66.56 | End of split
% 260.89/66.56 |
% 260.89/66.56 End of proof
% 260.89/66.56
% 260.89/66.56 Sub-proof #66 shows that the following formulas are inconsistent:
% 260.89/66.56 ----------------------------------------------------------------
% 260.89/66.56 (1) succ(all_4_95) = all_4_51
% 260.89/66.56 (2) succ(n1) = n2
% 260.89/66.56 (3) succ(all_4_91) = all_4_35
% 260.89/66.56 (4) sum(n4, n6) = n10
% 260.89/66.56 (5) succ(all_4_92) = all_4_46
% 260.89/66.56 (6) sum(n2, n2) = n4
% 260.89/66.56 (7) pred(all_4_95) = all_4_55
% 260.89/66.56 (8) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.56 (9) succ(n9) = n10
% 260.89/66.56 (10) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.56 (11) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.56 (12) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.56 (13) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.56 (14) sum(n2, n4) = n6
% 260.89/66.56 (15) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.56 (16) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.56 (17) succ(all_4_94) = all_4_54
% 260.89/66.56 (18) sum(all_4_37, all_4_34) = all_4_89
% 260.89/66.56 (19) all_4_98 = n5
% 260.89/66.56 (20) pred(all_4_99) = all_4_71
% 260.89/66.56 (21) succ(all_4_90) = all_4_38
% 260.89/66.56 (22) all_4_99 = n5
% 260.89/66.56 (23) sum(n8, n10) = n7
% 260.89/66.56 (24) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.56 (25) sum(n0, n2) = n2
% 260.89/66.56 (26) sum(all_4_33, all_4_32) = all_4_88
% 260.89/66.56 (27) sum(n3, n5) = n8
% 260.89/66.56 (28) sum(n10, n10) = n9
% 260.89/66.56 (29) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.56 (30) pred(n5) = n4
% 260.89/66.56 (31) pred(all_4_91) = all_4_39
% 260.89/66.56 (32) pred(all_4_92) = all_4_44
% 260.89/66.56 (33) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.56 (34) pred(n4) = n3
% 260.89/66.56 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.56 | ~ (succ(v2) = v0))
% 260.89/66.56 (36) pred(all_4_97) = all_4_63
% 260.89/66.56 (37) succ(all_4_99) = all_4_67
% 260.89/66.56 (38) pred(n9) = n8
% 260.89/66.56 (39) succ(n3) = n4
% 260.89/66.56 (40) pred(all_4_96) = all_4_60
% 260.89/66.56 (41) succ(all_4_96) = all_4_62
% 260.89/66.56 (42) pred(n3) = n2
% 260.89/66.56 (43) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.56 (44) sum(all_4_36, all_4_35) = all_4_34
% 260.89/66.56 (45) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.56 (46) pred(all_4_93) = all_4_47
% 260.89/66.56 (47) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.56 (48) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.56 (49) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.56 (50) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.56 (51) sum(all_4_39, all_4_35) = all_4_33
% 260.89/66.56 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.56 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.56 (53) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.56 (54) sum(all_4_39, all_4_38) = all_4_37
% 260.89/66.56 (55) sum(n6, n6) = n1
% 260.89/66.56 (56) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.56 (57) sum(n8, n8) = all_4_99
% 260.89/66.56 (58) succ(n5) = n6
% 260.89/66.56 (59) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.56 (60) succ(n4) = n5
% 260.89/66.56 (61) succ(all_4_98) = all_4_70
% 260.89/66.56 (62) pred(all_4_90) = all_4_36
% 260.89/66.56 (63) pred(n1) = n0
% 260.89/66.56 (64) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.56 (65) succ(all_4_97) = all_4_59
% 260.89/66.56 (66) sum(all_4_36, all_4_38) = all_4_32
% 260.89/66.56 (67) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.56 (68) sum(n7, n7) = n3
% 260.89/66.56 (69) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.56 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.56 | ~ (pred(v2) = v0))
% 260.89/66.56 (71) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.56 (72) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.56 (73) succ(all_4_93) = all_4_43
% 260.89/66.56 (74) pred(all_4_98) = all_4_68
% 260.89/66.56 (75) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.89/66.56 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.89/66.56 (all_4_98 = all_4_99)
% 260.89/66.56 (76) pred(all_4_94) = all_4_52
% 260.89/66.56
% 260.89/66.56 Begin of proof
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (19), (74) imply:
% 260.89/66.56 | (77) pred(n5) = all_4_68
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (20), (22) imply:
% 260.89/66.56 | (78) pred(n5) = all_4_71
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (19), (61) imply:
% 260.89/66.56 | (79) succ(n5) = all_4_70
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (22), (37) imply:
% 260.89/66.56 | (80) succ(n5) = all_4_67
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (22), (57) imply:
% 260.89/66.56 | (81) sum(n8, n8) = n5
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (35) with n6, all_4_67, n5, simplifying with (58),
% 260.89/66.56 | (80) gives:
% 260.89/66.56 | (82) all_4_67 = n6
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (35) with all_4_70, all_4_67, n5, simplifying with
% 260.89/66.56 | (79), (80) gives:
% 260.89/66.56 | (83) all_4_67 = all_4_70
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (70) with n4, all_4_68, n5, simplifying with (30),
% 260.89/66.56 | (77) gives:
% 260.89/66.56 | (84) all_4_68 = n4
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (70) with all_4_71, all_4_68, n5, simplifying with
% 260.89/66.56 | (77), (78) gives:
% 260.89/66.56 | (85) all_4_68 = all_4_71
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (82), (83) imply:
% 260.89/66.56 | (86) all_4_70 = n6
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (84), (85) imply:
% 260.89/66.56 | (87) all_4_71 = n4
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (50), (82), (84) imply:
% 260.89/66.56 | (88) sum(n4, n6) = all_4_66
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (64), (84), (86) imply:
% 260.89/66.56 | (89) sum(n4, n6) = all_4_64
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (47), (82), (87) imply:
% 260.89/66.56 | (90) sum(n4, n6) = all_4_65
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (12), (86), (87) imply:
% 260.89/66.56 | (91) sum(n4, n6) = all_4_69
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with n10, all_4_65, n6, n4, simplifying with
% 260.89/66.56 | (4), (90) gives:
% 260.89/66.56 | (92) all_4_65 = n10
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_66, all_4_65, n6, n4, simplifying
% 260.89/66.56 | with (88), (90) gives:
% 260.89/66.56 | (93) all_4_65 = all_4_66
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_66, all_4_64, n6, n4, simplifying
% 260.89/66.56 | with (88), (89) gives:
% 260.89/66.56 | (94) all_4_64 = all_4_66
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_69, all_4_64, n6, n4, simplifying
% 260.89/66.56 | with (89), (91) gives:
% 260.89/66.56 | (95) all_4_64 = all_4_69
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (94), (95) imply:
% 260.89/66.56 | (96) all_4_66 = all_4_69
% 260.89/66.56 |
% 260.89/66.56 | SIMP: (96) implies:
% 260.89/66.56 | (97) all_4_66 = all_4_69
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (92), (93) imply:
% 260.89/66.56 | (98) all_4_66 = n10
% 260.89/66.56 |
% 260.89/66.56 | SIMP: (98) implies:
% 260.89/66.56 | (99) all_4_66 = n10
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (97), (99) imply:
% 260.89/66.56 | (100) all_4_69 = n10
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (95), (100) imply:
% 260.89/66.56 | (101) all_4_64 = n10
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (33), (92), (101) imply:
% 260.89/66.56 | (102) sum(n10, n10) = all_4_96
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (59), (99), (100) imply:
% 260.89/66.56 | (103) sum(n10, n10) = all_4_97
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with n9, all_4_96, n10, n10, simplifying with
% 260.89/66.56 | (28), (102) gives:
% 260.89/66.56 | (104) all_4_96 = n9
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_97, all_4_96, n10, n10, simplifying
% 260.89/66.56 | with (102), (103) gives:
% 260.89/66.56 | (105) all_4_96 = all_4_97
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (104), (105) imply:
% 260.89/66.56 | (106) all_4_97 = n9
% 260.89/66.56 |
% 260.89/66.56 | SIMP: (106) implies:
% 260.89/66.56 | (107) all_4_97 = n9
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (40), (104) imply:
% 260.89/66.56 | (108) pred(n9) = all_4_60
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (36), (107) imply:
% 260.89/66.56 | (109) pred(n9) = all_4_63
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (41), (104) imply:
% 260.89/66.56 | (110) succ(n9) = all_4_62
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (65), (107) imply:
% 260.89/66.56 | (111) succ(n9) = all_4_59
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (35) with n10, all_4_59, n9, simplifying with (9),
% 260.89/66.56 | (111) gives:
% 260.89/66.56 | (112) all_4_59 = n10
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (35) with all_4_62, all_4_59, n9, simplifying with
% 260.89/66.56 | (110), (111) gives:
% 260.89/66.56 | (113) all_4_59 = all_4_62
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (70) with n8, all_4_60, n9, simplifying with (38),
% 260.89/66.56 | (108) gives:
% 260.89/66.56 | (114) all_4_60 = n8
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (70) with all_4_63, all_4_60, n9, simplifying with
% 260.89/66.56 | (108), (109) gives:
% 260.89/66.56 | (115) all_4_60 = all_4_63
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (112), (113) imply:
% 260.89/66.56 | (116) all_4_62 = n10
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (114), (115) imply:
% 260.89/66.56 | (117) all_4_63 = n8
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (48), (112), (114) imply:
% 260.89/66.56 | (118) sum(n8, n10) = all_4_58
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (11), (114), (116) imply:
% 260.89/66.56 | (119) sum(n8, n10) = all_4_56
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (15), (112), (117) imply:
% 260.89/66.56 | (120) sum(n8, n10) = all_4_57
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (16), (116), (117) imply:
% 260.89/66.56 | (121) sum(n8, n10) = all_4_61
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with n7, all_4_57, n10, n8, simplifying with
% 260.89/66.56 | (23), (120) gives:
% 260.89/66.56 | (122) all_4_57 = n7
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_58, all_4_57, n10, n8, simplifying
% 260.89/66.56 | with (118), (120) gives:
% 260.89/66.56 | (123) all_4_57 = all_4_58
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_57, all_4_56, n10, n8, simplifying
% 260.89/66.56 | with (119), (120) gives:
% 260.89/66.56 | (124) all_4_56 = all_4_57
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with all_4_61, all_4_56, n10, n8, simplifying
% 260.89/66.56 | with (119), (121) gives:
% 260.89/66.56 | (125) all_4_56 = all_4_61
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (124), (125) imply:
% 260.89/66.56 | (126) all_4_57 = all_4_61
% 260.89/66.56 |
% 260.89/66.56 | SIMP: (126) implies:
% 260.89/66.56 | (127) all_4_57 = all_4_61
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (122), (123) imply:
% 260.89/66.56 | (128) all_4_58 = n7
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (123), (127) imply:
% 260.89/66.56 | (129) all_4_58 = all_4_61
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (128), (129) imply:
% 260.89/66.56 | (130) all_4_61 = n7
% 260.89/66.56 |
% 260.89/66.56 | COMBINE_EQS: (125), (130) imply:
% 260.89/66.56 | (131) all_4_56 = n7
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (24), (122), (131) imply:
% 260.89/66.56 | (132) sum(n7, n7) = all_4_94
% 260.89/66.56 |
% 260.89/66.56 | REDUCE: (67), (128), (130) imply:
% 260.89/66.56 | (133) sum(n7, n7) = all_4_95
% 260.89/66.56 |
% 260.89/66.56 | GROUND_INST: instantiating (52) with n3, all_4_94, n7, n7, simplifying with
% 260.89/66.56 | (68), (132) gives:
% 260.89/66.56 | (134) all_4_94 = n3
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_95, all_4_94, n7, n7, simplifying
% 260.89/66.57 | with (132), (133) gives:
% 260.89/66.57 | (135) all_4_94 = all_4_95
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (134), (135) imply:
% 260.89/66.57 | (136) all_4_95 = n3
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (76), (134) imply:
% 260.89/66.57 | (137) pred(n3) = all_4_52
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (7), (136) imply:
% 260.89/66.57 | (138) pred(n3) = all_4_55
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (17), (134) imply:
% 260.89/66.57 | (139) succ(n3) = all_4_54
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (1), (136) imply:
% 260.89/66.57 | (140) succ(n3) = all_4_51
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (35) with n4, all_4_51, n3, simplifying with (39),
% 260.89/66.57 | (140) gives:
% 260.89/66.57 | (141) all_4_51 = n4
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (35) with all_4_54, all_4_51, n3, simplifying with
% 260.89/66.57 | (139), (140) gives:
% 260.89/66.57 | (142) all_4_51 = all_4_54
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (70) with n2, all_4_52, n3, simplifying with (42),
% 260.89/66.57 | (137) gives:
% 260.89/66.57 | (143) all_4_52 = n2
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (70) with all_4_55, all_4_52, n3, simplifying with
% 260.89/66.57 | (137), (138) gives:
% 260.89/66.57 | (144) all_4_52 = all_4_55
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (141), (142) imply:
% 260.89/66.57 | (145) all_4_54 = n4
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (143), (144) imply:
% 260.89/66.57 | (146) all_4_55 = n2
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (146) implies:
% 260.89/66.57 | (147) all_4_55 = n2
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (71), (141), (143) imply:
% 260.89/66.57 | (148) sum(n2, n4) = all_4_50
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (10), (143), (145) imply:
% 260.89/66.57 | (149) sum(n2, n4) = all_4_48
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (43), (141), (147) imply:
% 260.89/66.57 | (150) sum(n2, n4) = all_4_49
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (13), (145), (147) imply:
% 260.89/66.57 | (151) sum(n2, n4) = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n6, all_4_49, n4, n2, simplifying with
% 260.89/66.57 | (14), (150) gives:
% 260.89/66.57 | (152) all_4_49 = n6
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_50, all_4_49, n4, n2, simplifying
% 260.89/66.57 | with (148), (150) gives:
% 260.89/66.57 | (153) all_4_49 = all_4_50
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_49, all_4_48, n4, n2, simplifying
% 260.89/66.57 | with (149), (150) gives:
% 260.89/66.57 | (154) all_4_48 = all_4_49
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_53, all_4_48, n4, n2, simplifying
% 260.89/66.57 | with (149), (151) gives:
% 260.89/66.57 | (155) all_4_48 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (154), (155) imply:
% 260.89/66.57 | (156) all_4_49 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (156) implies:
% 260.89/66.57 | (157) all_4_49 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (152), (153) imply:
% 260.89/66.57 | (158) all_4_50 = n6
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (153), (157) imply:
% 260.89/66.57 | (159) all_4_50 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (158), (159) imply:
% 260.89/66.57 | (160) all_4_53 = n6
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (155), (160) imply:
% 260.89/66.57 | (161) all_4_48 = n6
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (69), (152), (161) imply:
% 260.89/66.57 | (162) sum(n6, n6) = all_4_92
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (72), (158), (160) imply:
% 260.89/66.57 | (163) sum(n6, n6) = all_4_93
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n1, all_4_92, n6, n6, simplifying with
% 260.89/66.57 | (55), (162) gives:
% 260.89/66.57 | (164) all_4_92 = n1
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_93, all_4_92, n6, n6, simplifying
% 260.89/66.57 | with (162), (163) gives:
% 260.89/66.57 | (165) all_4_92 = all_4_93
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (164), (165) imply:
% 260.89/66.57 | (166) all_4_93 = n1
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (166) implies:
% 260.89/66.57 | (167) all_4_93 = n1
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (32), (164) imply:
% 260.89/66.57 | (168) pred(n1) = all_4_44
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (46), (167) imply:
% 260.89/66.57 | (169) pred(n1) = all_4_47
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (5), (164) imply:
% 260.89/66.57 | (170) succ(n1) = all_4_46
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (73), (167) imply:
% 260.89/66.57 | (171) succ(n1) = all_4_43
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (35) with n2, all_4_43, n1, simplifying with (2),
% 260.89/66.57 | (171) gives:
% 260.89/66.57 | (172) all_4_43 = n2
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (35) with all_4_46, all_4_43, n1, simplifying with
% 260.89/66.57 | (170), (171) gives:
% 260.89/66.57 | (173) all_4_43 = all_4_46
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (70) with n0, all_4_44, n1, simplifying with (63),
% 260.89/66.57 | (168) gives:
% 260.89/66.57 | (174) all_4_44 = n0
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (70) with all_4_47, all_4_44, n1, simplifying with
% 260.89/66.57 | (168), (169) gives:
% 260.89/66.57 | (175) all_4_44 = all_4_47
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (172), (173) imply:
% 260.89/66.57 | (176) all_4_46 = n2
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (174), (175) imply:
% 260.89/66.57 | (177) all_4_47 = n0
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (56), (172), (174) imply:
% 260.89/66.57 | (178) sum(n0, n2) = all_4_42
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (8), (174), (176) imply:
% 260.89/66.57 | (179) sum(n0, n2) = all_4_40
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (29), (172), (177) imply:
% 260.89/66.57 | (180) sum(n0, n2) = all_4_41
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (45), (176), (177) imply:
% 260.89/66.57 | (181) sum(n0, n2) = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n2, all_4_41, n2, n0, simplifying with
% 260.89/66.57 | (25), (180) gives:
% 260.89/66.57 | (182) all_4_41 = n2
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_42, all_4_41, n2, n0, simplifying
% 260.89/66.57 | with (178), (180) gives:
% 260.89/66.57 | (183) all_4_41 = all_4_42
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_41, all_4_40, n2, n0, simplifying
% 260.89/66.57 | with (179), (180) gives:
% 260.89/66.57 | (184) all_4_40 = all_4_41
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_45, all_4_40, n2, n0, simplifying
% 260.89/66.57 | with (179), (181) gives:
% 260.89/66.57 | (185) all_4_40 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (184), (185) imply:
% 260.89/66.57 | (186) all_4_41 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (186) implies:
% 260.89/66.57 | (187) all_4_41 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (182), (183) imply:
% 260.89/66.57 | (188) all_4_42 = n2
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (183), (187) imply:
% 260.89/66.57 | (189) all_4_42 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (188), (189) imply:
% 260.89/66.57 | (190) all_4_45 = n2
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (190) implies:
% 260.89/66.57 | (191) all_4_45 = n2
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (185), (191) imply:
% 260.89/66.57 | (192) all_4_40 = n2
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (49), (182), (192) imply:
% 260.89/66.57 | (193) sum(n2, n2) = all_4_90
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (53), (188), (191) imply:
% 260.89/66.57 | (194) sum(n2, n2) = all_4_91
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n4, all_4_90, n2, n2, simplifying with
% 260.89/66.57 | (6), (193) gives:
% 260.89/66.57 | (195) all_4_90 = n4
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_91, all_4_90, n2, n2, simplifying
% 260.89/66.57 | with (193), (194) gives:
% 260.89/66.57 | (196) all_4_90 = all_4_91
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (195), (196) imply:
% 260.89/66.57 | (197) all_4_91 = n4
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (197) implies:
% 260.89/66.57 | (198) all_4_91 = n4
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (62), (195) imply:
% 260.89/66.57 | (199) pred(n4) = all_4_36
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (31), (198) imply:
% 260.89/66.57 | (200) pred(n4) = all_4_39
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (21), (195) imply:
% 260.89/66.57 | (201) succ(n4) = all_4_38
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (3), (198) imply:
% 260.89/66.57 | (202) succ(n4) = all_4_35
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (35) with n5, all_4_35, n4, simplifying with (60),
% 260.89/66.57 | (202) gives:
% 260.89/66.57 | (203) all_4_35 = n5
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (35) with all_4_38, all_4_35, n4, simplifying with
% 260.89/66.57 | (201), (202) gives:
% 260.89/66.57 | (204) all_4_35 = all_4_38
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (70) with n3, all_4_36, n4, simplifying with (34),
% 260.89/66.57 | (199) gives:
% 260.89/66.57 | (205) all_4_36 = n3
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (70) with all_4_39, all_4_36, n4, simplifying with
% 260.89/66.57 | (199), (200) gives:
% 260.89/66.57 | (206) all_4_36 = all_4_39
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (203), (204) imply:
% 260.89/66.57 | (207) all_4_38 = n5
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (205), (206) imply:
% 260.89/66.57 | (208) all_4_39 = n3
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (44), (203), (205) imply:
% 260.89/66.57 | (209) sum(n3, n5) = all_4_34
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (66), (205), (207) imply:
% 260.89/66.57 | (210) sum(n3, n5) = all_4_32
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (51), (203), (208) imply:
% 260.89/66.57 | (211) sum(n3, n5) = all_4_33
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (54), (207), (208) imply:
% 260.89/66.57 | (212) sum(n3, n5) = all_4_37
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n8, all_4_33, n5, n3, simplifying with
% 260.89/66.57 | (27), (211) gives:
% 260.89/66.57 | (213) all_4_33 = n8
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_34, all_4_33, n5, n3, simplifying
% 260.89/66.57 | with (209), (211) gives:
% 260.89/66.57 | (214) all_4_33 = all_4_34
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_33, all_4_32, n5, n3, simplifying
% 260.89/66.57 | with (210), (211) gives:
% 260.89/66.57 | (215) all_4_32 = all_4_33
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_37, all_4_32, n5, n3, simplifying
% 260.89/66.57 | with (210), (212) gives:
% 260.89/66.57 | (216) all_4_32 = all_4_37
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (215), (216) imply:
% 260.89/66.57 | (217) all_4_33 = all_4_37
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (217) implies:
% 260.89/66.57 | (218) all_4_33 = all_4_37
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (213), (214) imply:
% 260.89/66.57 | (219) all_4_34 = n8
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (214), (218) imply:
% 260.89/66.57 | (220) all_4_34 = all_4_37
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (219), (220) imply:
% 260.89/66.57 | (221) all_4_37 = n8
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (216), (221) imply:
% 260.89/66.57 | (222) all_4_32 = n8
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (26), (213), (222) imply:
% 260.89/66.57 | (223) sum(n8, n8) = all_4_88
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (18), (219), (221) imply:
% 260.89/66.57 | (224) sum(n8, n8) = all_4_89
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n5, all_4_89, n8, n8, simplifying with
% 260.89/66.57 | (81), (224) gives:
% 260.89/66.57 | (225) all_4_89 = n5
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n5, all_4_88, n8, n8, simplifying with
% 260.89/66.57 | (81), (223) gives:
% 260.89/66.57 | (226) all_4_88 = n5
% 260.89/66.57 |
% 260.89/66.57 | REF_CLOSE: (19), (22), (75), (104), (107), (134), (136), (164), (167), (195),
% 260.89/66.57 | (198), (225), (226) are inconsistent by sub-proof #175.
% 260.89/66.57 |
% 260.89/66.57 End of proof
% 260.89/66.57
% 260.89/66.57 Sub-proof #67 shows that the following formulas are inconsistent:
% 260.89/66.57 ----------------------------------------------------------------
% 260.89/66.57 (1) succ(all_4_95) = all_4_51
% 260.89/66.57 (2) succ(n1) = n2
% 260.89/66.57 (3) succ(all_4_91) = all_4_35
% 260.89/66.57 (4) sum(n4, n6) = n10
% 260.89/66.57 (5) succ(all_4_92) = all_4_46
% 260.89/66.57 (6) pred(all_4_95) = all_4_55
% 260.89/66.57 (7) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.57 (8) succ(n9) = n10
% 260.89/66.57 (9) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.57 (10) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.57 (11) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.57 (12) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.57 (13) sum(n2, n4) = n6
% 260.89/66.57 (14) ~ (all_4_88 = all_4_89)
% 260.89/66.57 (15) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.57 (16) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.57 (17) succ(all_4_94) = all_4_54
% 260.89/66.57 (18) sum(all_4_37, all_4_34) = all_4_89
% 260.89/66.57 (19) sum(n8, n8) = n5
% 260.89/66.57 (20) pred(all_4_99) = all_4_71
% 260.89/66.57 (21) succ(all_4_90) = all_4_38
% 260.89/66.57 (22) sum(n8, n10) = n7
% 260.89/66.57 (23) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.57 (24) sum(n0, n2) = n2
% 260.89/66.57 (25) sum(all_4_33, all_4_32) = all_4_88
% 260.89/66.57 (26) sum(n3, n5) = n8
% 260.89/66.57 (27) sum(n10, n10) = n9
% 260.89/66.57 (28) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.57 (29) pred(n5) = n4
% 260.89/66.57 (30) pred(all_4_91) = all_4_39
% 260.89/66.57 (31) pred(all_4_92) = all_4_44
% 260.89/66.57 (32) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.57 (33) pred(n4) = n3
% 260.89/66.57 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.57 | ~ (succ(v2) = v0))
% 260.89/66.57 (35) pred(all_4_97) = all_4_63
% 260.89/66.57 (36) succ(all_4_99) = all_4_67
% 260.89/66.57 (37) pred(n9) = n8
% 260.89/66.57 (38) succ(n3) = n4
% 260.89/66.57 (39) pred(all_4_96) = all_4_60
% 260.89/66.57 (40) succ(all_4_96) = all_4_62
% 260.89/66.57 (41) pred(n3) = n2
% 260.89/66.57 (42) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.57 (43) sum(all_4_36, all_4_35) = all_4_34
% 260.89/66.57 (44) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.57 (45) pred(all_4_93) = all_4_47
% 260.89/66.57 (46) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.57 (47) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.57 (48) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.57 (49) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.57 (50) all_4_99 = n4
% 260.89/66.57 (51) sum(all_4_39, all_4_35) = all_4_33
% 260.89/66.57 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.57 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.57 (53) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.57 (54) sum(all_4_39, all_4_38) = all_4_37
% 260.89/66.57 (55) sum(n6, n6) = n1
% 260.89/66.57 (56) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.57 (57) sum(n2, n2) = all_4_99
% 260.89/66.57 (58) succ(n5) = n6
% 260.89/66.57 (59) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.57 (60) succ(n4) = n5
% 260.89/66.57 (61) succ(all_4_98) = all_4_70
% 260.89/66.57 (62) pred(all_4_90) = all_4_36
% 260.89/66.57 (63) pred(n1) = n0
% 260.89/66.57 (64) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.57 (65) succ(all_4_97) = all_4_59
% 260.89/66.57 (66) sum(all_4_36, all_4_38) = all_4_32
% 260.89/66.57 (67) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.57 (68) sum(n7, n7) = n3
% 260.89/66.57 (69) all_4_98 = n4
% 260.89/66.57 (70) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.57 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.57 | ~ (pred(v2) = v0))
% 260.89/66.57 (72) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.57 (73) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.57 (74) succ(all_4_93) = all_4_43
% 260.89/66.57 (75) pred(all_4_98) = all_4_68
% 260.89/66.57 (76) pred(all_4_94) = all_4_52
% 260.89/66.57
% 260.89/66.57 Begin of proof
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (69), (75) imply:
% 260.89/66.57 | (77) pred(n4) = all_4_68
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (20), (50) imply:
% 260.89/66.57 | (78) pred(n4) = all_4_71
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (61), (69) imply:
% 260.89/66.57 | (79) succ(n4) = all_4_70
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (36), (50) imply:
% 260.89/66.57 | (80) succ(n4) = all_4_67
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (50), (57) imply:
% 260.89/66.57 | (81) sum(n2, n2) = n4
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with n5, all_4_67, n4, simplifying with (60),
% 260.89/66.57 | (80) gives:
% 260.89/66.57 | (82) all_4_67 = n5
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with all_4_70, all_4_67, n4, simplifying with
% 260.89/66.57 | (79), (80) gives:
% 260.89/66.57 | (83) all_4_67 = all_4_70
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with n3, all_4_68, n4, simplifying with (33),
% 260.89/66.57 | (77) gives:
% 260.89/66.57 | (84) all_4_68 = n3
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with all_4_71, all_4_68, n4, simplifying with
% 260.89/66.57 | (77), (78) gives:
% 260.89/66.57 | (85) all_4_68 = all_4_71
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (82), (83) imply:
% 260.89/66.57 | (86) all_4_70 = n5
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (84), (85) imply:
% 260.89/66.57 | (87) all_4_71 = n3
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (49), (82), (84) imply:
% 260.89/66.57 | (88) sum(n3, n5) = all_4_66
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (64), (84), (86) imply:
% 260.89/66.57 | (89) sum(n3, n5) = all_4_64
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (46), (82), (87) imply:
% 260.89/66.57 | (90) sum(n3, n5) = all_4_65
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (11), (86), (87) imply:
% 260.89/66.57 | (91) sum(n3, n5) = all_4_69
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n8, all_4_65, n5, n3, simplifying with
% 260.89/66.57 | (26), (90) gives:
% 260.89/66.57 | (92) all_4_65 = n8
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_66, all_4_65, n5, n3, simplifying
% 260.89/66.57 | with (88), (90) gives:
% 260.89/66.57 | (93) all_4_65 = all_4_66
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_66, all_4_64, n5, n3, simplifying
% 260.89/66.57 | with (88), (89) gives:
% 260.89/66.57 | (94) all_4_64 = all_4_66
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_69, all_4_64, n5, n3, simplifying
% 260.89/66.57 | with (89), (91) gives:
% 260.89/66.57 | (95) all_4_64 = all_4_69
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (94), (95) imply:
% 260.89/66.57 | (96) all_4_66 = all_4_69
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (96) implies:
% 260.89/66.57 | (97) all_4_66 = all_4_69
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (92), (93) imply:
% 260.89/66.57 | (98) all_4_66 = n8
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (98) implies:
% 260.89/66.57 | (99) all_4_66 = n8
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (97), (99) imply:
% 260.89/66.57 | (100) all_4_69 = n8
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (95), (100) imply:
% 260.89/66.57 | (101) all_4_64 = n8
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (32), (92), (101) imply:
% 260.89/66.57 | (102) sum(n8, n8) = all_4_96
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (59), (99), (100) imply:
% 260.89/66.57 | (103) sum(n8, n8) = all_4_97
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n5, all_4_96, n8, n8, simplifying with
% 260.89/66.57 | (19), (102) gives:
% 260.89/66.57 | (104) all_4_96 = n5
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_97, all_4_96, n8, n8, simplifying
% 260.89/66.57 | with (102), (103) gives:
% 260.89/66.57 | (105) all_4_96 = all_4_97
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (104), (105) imply:
% 260.89/66.57 | (106) all_4_97 = n5
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (106) implies:
% 260.89/66.57 | (107) all_4_97 = n5
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (39), (104) imply:
% 260.89/66.57 | (108) pred(n5) = all_4_60
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (35), (107) imply:
% 260.89/66.57 | (109) pred(n5) = all_4_63
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (40), (104) imply:
% 260.89/66.57 | (110) succ(n5) = all_4_62
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (65), (107) imply:
% 260.89/66.57 | (111) succ(n5) = all_4_59
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with n6, all_4_59, n5, simplifying with (58),
% 260.89/66.57 | (111) gives:
% 260.89/66.57 | (112) all_4_59 = n6
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with all_4_62, all_4_59, n5, simplifying with
% 260.89/66.57 | (110), (111) gives:
% 260.89/66.57 | (113) all_4_59 = all_4_62
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with n4, all_4_60, n5, simplifying with (29),
% 260.89/66.57 | (108) gives:
% 260.89/66.57 | (114) all_4_60 = n4
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with all_4_63, all_4_60, n5, simplifying with
% 260.89/66.57 | (108), (109) gives:
% 260.89/66.57 | (115) all_4_60 = all_4_63
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (112), (113) imply:
% 260.89/66.57 | (116) all_4_62 = n6
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (114), (115) imply:
% 260.89/66.57 | (117) all_4_63 = n4
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (47), (112), (114) imply:
% 260.89/66.57 | (118) sum(n4, n6) = all_4_58
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (10), (114), (116) imply:
% 260.89/66.57 | (119) sum(n4, n6) = all_4_56
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (15), (112), (117) imply:
% 260.89/66.57 | (120) sum(n4, n6) = all_4_57
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (16), (116), (117) imply:
% 260.89/66.57 | (121) sum(n4, n6) = all_4_61
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n10, all_4_57, n6, n4, simplifying with
% 260.89/66.57 | (4), (120) gives:
% 260.89/66.57 | (122) all_4_57 = n10
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_58, all_4_57, n6, n4, simplifying
% 260.89/66.57 | with (118), (120) gives:
% 260.89/66.57 | (123) all_4_57 = all_4_58
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_57, all_4_56, n6, n4, simplifying
% 260.89/66.57 | with (119), (120) gives:
% 260.89/66.57 | (124) all_4_56 = all_4_57
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_61, all_4_56, n6, n4, simplifying
% 260.89/66.57 | with (119), (121) gives:
% 260.89/66.57 | (125) all_4_56 = all_4_61
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (124), (125) imply:
% 260.89/66.57 | (126) all_4_57 = all_4_61
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (126) implies:
% 260.89/66.57 | (127) all_4_57 = all_4_61
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (122), (123) imply:
% 260.89/66.57 | (128) all_4_58 = n10
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (123), (127) imply:
% 260.89/66.57 | (129) all_4_58 = all_4_61
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (128), (129) imply:
% 260.89/66.57 | (130) all_4_61 = n10
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (125), (130) imply:
% 260.89/66.57 | (131) all_4_56 = n10
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (23), (122), (131) imply:
% 260.89/66.57 | (132) sum(n10, n10) = all_4_94
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (67), (128), (130) imply:
% 260.89/66.57 | (133) sum(n10, n10) = all_4_95
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n9, all_4_94, n10, n10, simplifying with
% 260.89/66.57 | (27), (132) gives:
% 260.89/66.57 | (134) all_4_94 = n9
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_95, all_4_94, n10, n10, simplifying
% 260.89/66.57 | with (132), (133) gives:
% 260.89/66.57 | (135) all_4_94 = all_4_95
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (134), (135) imply:
% 260.89/66.57 | (136) all_4_95 = n9
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (76), (134) imply:
% 260.89/66.57 | (137) pred(n9) = all_4_52
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (6), (136) imply:
% 260.89/66.57 | (138) pred(n9) = all_4_55
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (17), (134) imply:
% 260.89/66.57 | (139) succ(n9) = all_4_54
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (1), (136) imply:
% 260.89/66.57 | (140) succ(n9) = all_4_51
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with n10, all_4_51, n9, simplifying with (8),
% 260.89/66.57 | (140) gives:
% 260.89/66.57 | (141) all_4_51 = n10
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with all_4_54, all_4_51, n9, simplifying with
% 260.89/66.57 | (139), (140) gives:
% 260.89/66.57 | (142) all_4_51 = all_4_54
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with n8, all_4_52, n9, simplifying with (37),
% 260.89/66.57 | (137) gives:
% 260.89/66.57 | (143) all_4_52 = n8
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with all_4_55, all_4_52, n9, simplifying with
% 260.89/66.57 | (137), (138) gives:
% 260.89/66.57 | (144) all_4_52 = all_4_55
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (141), (142) imply:
% 260.89/66.57 | (145) all_4_54 = n10
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (143), (144) imply:
% 260.89/66.57 | (146) all_4_55 = n8
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (146) implies:
% 260.89/66.57 | (147) all_4_55 = n8
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (72), (141), (143) imply:
% 260.89/66.57 | (148) sum(n8, n10) = all_4_50
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (9), (143), (145) imply:
% 260.89/66.57 | (149) sum(n8, n10) = all_4_48
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (42), (141), (147) imply:
% 260.89/66.57 | (150) sum(n8, n10) = all_4_49
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (12), (145), (147) imply:
% 260.89/66.57 | (151) sum(n8, n10) = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n7, all_4_49, n10, n8, simplifying with
% 260.89/66.57 | (22), (150) gives:
% 260.89/66.57 | (152) all_4_49 = n7
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_50, all_4_49, n10, n8, simplifying
% 260.89/66.57 | with (148), (150) gives:
% 260.89/66.57 | (153) all_4_49 = all_4_50
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_49, all_4_48, n10, n8, simplifying
% 260.89/66.57 | with (149), (150) gives:
% 260.89/66.57 | (154) all_4_48 = all_4_49
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_53, all_4_48, n10, n8, simplifying
% 260.89/66.57 | with (149), (151) gives:
% 260.89/66.57 | (155) all_4_48 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (154), (155) imply:
% 260.89/66.57 | (156) all_4_49 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (156) implies:
% 260.89/66.57 | (157) all_4_49 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (152), (153) imply:
% 260.89/66.57 | (158) all_4_50 = n7
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (153), (157) imply:
% 260.89/66.57 | (159) all_4_50 = all_4_53
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (158), (159) imply:
% 260.89/66.57 | (160) all_4_53 = n7
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (155), (160) imply:
% 260.89/66.57 | (161) all_4_48 = n7
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (70), (152), (161) imply:
% 260.89/66.57 | (162) sum(n7, n7) = all_4_92
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (73), (158), (160) imply:
% 260.89/66.57 | (163) sum(n7, n7) = all_4_93
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n3, all_4_92, n7, n7, simplifying with
% 260.89/66.57 | (68), (162) gives:
% 260.89/66.57 | (164) all_4_92 = n3
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_93, all_4_92, n7, n7, simplifying
% 260.89/66.57 | with (162), (163) gives:
% 260.89/66.57 | (165) all_4_92 = all_4_93
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (164), (165) imply:
% 260.89/66.57 | (166) all_4_93 = n3
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (166) implies:
% 260.89/66.57 | (167) all_4_93 = n3
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (31), (164) imply:
% 260.89/66.57 | (168) pred(n3) = all_4_44
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (45), (167) imply:
% 260.89/66.57 | (169) pred(n3) = all_4_47
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (5), (164) imply:
% 260.89/66.57 | (170) succ(n3) = all_4_46
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (74), (167) imply:
% 260.89/66.57 | (171) succ(n3) = all_4_43
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with n4, all_4_43, n3, simplifying with (38),
% 260.89/66.57 | (171) gives:
% 260.89/66.57 | (172) all_4_43 = n4
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (34) with all_4_46, all_4_43, n3, simplifying with
% 260.89/66.57 | (170), (171) gives:
% 260.89/66.57 | (173) all_4_43 = all_4_46
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with n2, all_4_44, n3, simplifying with (41),
% 260.89/66.57 | (168) gives:
% 260.89/66.57 | (174) all_4_44 = n2
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (71) with all_4_47, all_4_44, n3, simplifying with
% 260.89/66.57 | (168), (169) gives:
% 260.89/66.57 | (175) all_4_44 = all_4_47
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (172), (173) imply:
% 260.89/66.57 | (176) all_4_46 = n4
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (174), (175) imply:
% 260.89/66.57 | (177) all_4_47 = n2
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (56), (172), (174) imply:
% 260.89/66.57 | (178) sum(n2, n4) = all_4_42
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (7), (174), (176) imply:
% 260.89/66.57 | (179) sum(n2, n4) = all_4_40
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (28), (172), (177) imply:
% 260.89/66.57 | (180) sum(n2, n4) = all_4_41
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (44), (176), (177) imply:
% 260.89/66.57 | (181) sum(n2, n4) = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with n6, all_4_41, n4, n2, simplifying with
% 260.89/66.57 | (13), (180) gives:
% 260.89/66.57 | (182) all_4_41 = n6
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_42, all_4_41, n4, n2, simplifying
% 260.89/66.57 | with (178), (180) gives:
% 260.89/66.57 | (183) all_4_41 = all_4_42
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_41, all_4_40, n4, n2, simplifying
% 260.89/66.57 | with (179), (180) gives:
% 260.89/66.57 | (184) all_4_40 = all_4_41
% 260.89/66.57 |
% 260.89/66.57 | GROUND_INST: instantiating (52) with all_4_45, all_4_40, n4, n2, simplifying
% 260.89/66.57 | with (179), (181) gives:
% 260.89/66.57 | (185) all_4_40 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (184), (185) imply:
% 260.89/66.57 | (186) all_4_41 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (186) implies:
% 260.89/66.57 | (187) all_4_41 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (182), (183) imply:
% 260.89/66.57 | (188) all_4_42 = n6
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (183), (187) imply:
% 260.89/66.57 | (189) all_4_42 = all_4_45
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (188), (189) imply:
% 260.89/66.57 | (190) all_4_45 = n6
% 260.89/66.57 |
% 260.89/66.57 | SIMP: (190) implies:
% 260.89/66.57 | (191) all_4_45 = n6
% 260.89/66.57 |
% 260.89/66.57 | COMBINE_EQS: (185), (191) imply:
% 260.89/66.57 | (192) all_4_40 = n6
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (48), (182), (192) imply:
% 260.89/66.57 | (193) sum(n6, n6) = all_4_90
% 260.89/66.57 |
% 260.89/66.57 | REDUCE: (53), (188), (191) imply:
% 260.89/66.57 | (194) sum(n6, n6) = all_4_91
% 260.89/66.57 |
% 260.89/66.58 | GROUND_INST: instantiating (52) with n1, all_4_90, n6, n6, simplifying with
% 260.89/66.58 | (55), (193) gives:
% 260.89/66.58 | (195) all_4_90 = n1
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (52) with all_4_91, all_4_90, n6, n6, simplifying
% 260.89/66.58 | with (193), (194) gives:
% 260.89/66.58 | (196) all_4_90 = all_4_91
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (195), (196) imply:
% 260.89/66.58 | (197) all_4_91 = n1
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (197) implies:
% 260.89/66.58 | (198) all_4_91 = n1
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (62), (195) imply:
% 260.89/66.58 | (199) pred(n1) = all_4_36
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (30), (198) imply:
% 260.89/66.58 | (200) pred(n1) = all_4_39
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (21), (195) imply:
% 260.89/66.58 | (201) succ(n1) = all_4_38
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (3), (198) imply:
% 260.89/66.58 | (202) succ(n1) = all_4_35
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (34) with n2, all_4_35, n1, simplifying with (2),
% 260.89/66.58 | (202) gives:
% 260.89/66.58 | (203) all_4_35 = n2
% 260.89/66.58 |
% 260.89/66.58 | REF_CLOSE: (14), (18), (24), (25), (34), (43), (51), (52), (54), (63), (66),
% 260.89/66.58 | (71), (81), (199), (200), (201), (202), (203) are inconsistent by
% 260.89/66.58 | sub-proof #135.
% 260.89/66.58 |
% 260.89/66.58 End of proof
% 260.89/66.58
% 260.89/66.58 Sub-proof #68 shows that the following formulas are inconsistent:
% 260.89/66.58 ----------------------------------------------------------------
% 260.89/66.58 (1) succ(n2) = all_4_38
% 260.89/66.58 (2) pred(n7) = all_4_52
% 260.89/66.58 (3) succ(n2) = all_4_35
% 260.89/66.58 (4) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.58 (5) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.58 (6) sum(n3, n3) = n6
% 260.89/66.58 (7) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.58 (8) pred(n7) = all_4_55
% 260.89/66.58 (9) succ(n6) = all_4_43
% 260.89/66.58 (10) sum(all_4_37, all_4_34) = all_4_89
% 260.89/66.58 (11) succ(n7) = all_4_54
% 260.89/66.58 (12) all_4_96 = n10
% 260.89/66.58 (13) pred(n2) = all_4_36
% 260.89/66.58 (14) all_4_94 = n7
% 260.89/66.58 (15) sum(n6, n8) = n3
% 260.89/66.58 (16) all_4_97 = n10
% 260.89/66.58 (17) sum(all_4_33, all_4_32) = all_4_88
% 260.89/66.58 (18) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.58 (19) sum(n5, n7) = n1
% 260.89/66.58 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.58 | ~ (succ(v2) = v0))
% 260.89/66.58 (21) pred(n6) = n5
% 260.89/66.58 (22) pred(n2) = all_4_39
% 260.89/66.58 (23) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.58 (24) pred(n7) = n6
% 260.89/66.58 (25) sum(all_4_36, all_4_35) = all_4_34
% 260.89/66.58 (26) succ(n7) = n8
% 260.89/66.58 (27) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.58 (28) all_4_99 = n8
% 260.89/66.58 (29) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.58 (30) succ(n2) = n3
% 260.89/66.58 (31) succ(n6) = n7
% 260.89/66.58 (32) sum(all_4_39, all_4_35) = all_4_33
% 260.89/66.58 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.58 (34) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.58 (35) sum(all_4_39, all_4_38) = all_4_37
% 260.89/66.58 (36) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.58 (37) pred(n6) = all_4_47
% 260.89/66.58 (38) succ(n7) = all_4_51
% 260.89/66.58 (39) all_4_95 = n7
% 260.89/66.58 (40) pred(n6) = all_4_44
% 260.89/66.58 (41) pred(n2) = n1
% 260.89/66.58 (42) all_4_98 = n8
% 260.89/66.58 (43) sum(n4, n4) = n8
% 260.89/66.58 (44) sum(all_4_36, all_4_38) = all_4_32
% 260.89/66.58 (45) succ(n6) = all_4_46
% 260.89/66.58 (46) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.58 (47) sum(n1, n3) = n4
% 260.89/66.58 (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.58 | ~ (pred(v2) = v0))
% 260.89/66.58 (49) sum(n1, n1) = n2
% 260.89/66.58 (50) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.58 (51) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.58 (52) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.89/66.58 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.89/66.58 (all_4_98 = all_4_99)
% 260.89/66.58
% 260.89/66.58 Begin of proof
% 260.89/66.58 |
% 260.89/66.58 | BETA: splitting (52) gives:
% 260.89/66.58 |
% 260.89/66.58 | Case 1:
% 260.89/66.58 | |
% 260.89/66.58 | | (53) ~ (all_4_88 = all_4_89)
% 260.89/66.58 | |
% 260.89/66.58 | | GROUND_INST: instantiating (20) with n3, all_4_35, n2, simplifying with (3),
% 260.89/66.58 | | (30) gives:
% 260.89/66.58 | | (54) all_4_35 = n3
% 260.89/66.58 | |
% 260.89/66.58 | | REF_CLOSE: (1), (3), (10), (13), (17), (20), (22), (25), (32), (33), (35),
% 260.89/66.58 | | (41), (43), (44), (47), (48), (53), (54) are inconsistent by
% 260.89/66.58 | | sub-proof #139.
% 260.89/66.58 | |
% 260.89/66.58 | Case 2:
% 260.89/66.58 | |
% 260.89/66.58 | | (55) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.89/66.58 | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.58 | |
% 260.89/66.58 | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (11), (12), (14), (15), (16),
% 260.89/66.58 | | (18), (19), (20), (21), (23), (24), (26), (27), (28), (29), (31),
% 260.89/66.58 | | (33), (34), (36), (37), (38), (39), (40), (42), (45), (46), (48),
% 260.89/66.58 | | (49), (50), (51), (55) are inconsistent by sub-proof #80.
% 260.89/66.58 | |
% 260.89/66.58 | End of split
% 260.89/66.58 |
% 260.89/66.58 End of proof
% 260.89/66.58
% 260.89/66.58 Sub-proof #69 shows that the following formulas are inconsistent:
% 260.89/66.58 ----------------------------------------------------------------
% 260.89/66.58 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.89/66.58 (2) succ(all_4_95) = all_4_51
% 260.89/66.58 (3) sum(all_4_25, all_4_24) = all_4_86
% 260.89/66.58 (4) succ(n1) = n2
% 260.89/66.58 (5) succ(all_4_91) = all_4_35
% 260.89/66.58 (6) sum(n4, n6) = n10
% 260.89/66.58 (7) succ(all_4_92) = all_4_46
% 260.89/66.58 (8) succ(all_4_89) = all_4_27
% 260.89/66.58 (9) sum(n2, n2) = n4
% 260.89/66.58 (10) pred(all_4_95) = all_4_55
% 260.89/66.58 (11) sum(all_4_44, all_4_46) = all_4_40
% 260.89/66.58 (12) sum(all_4_28, all_4_30) = all_4_24
% 260.89/66.58 (13) succ(n9) = n10
% 260.89/66.58 (14) sum(all_4_52, all_4_54) = all_4_48
% 260.89/66.58 (15) sum(all_4_60, all_4_62) = all_4_56
% 260.89/66.58 (16) sum(all_4_71, all_4_70) = all_4_69
% 260.89/66.58 (17) sum(all_4_55, all_4_54) = all_4_53
% 260.89/66.58 (18) sum(n2, n4) = n6
% 260.89/66.58 (19) sum(all_4_63, all_4_59) = all_4_57
% 260.89/66.58 (20) sum(all_4_31, all_4_27) = all_4_25
% 260.89/66.58 (21) sum(all_4_63, all_4_62) = all_4_61
% 260.89/66.58 (22) succ(all_4_94) = all_4_54
% 260.89/66.58 (23) sum(all_4_37, all_4_34) = all_4_89
% 260.89/66.58 (24) all_4_98 = n5
% 260.89/66.58 (25) pred(all_4_99) = all_4_71
% 260.89/66.58 (26) succ(all_4_90) = all_4_38
% 260.89/66.58 (27) all_4_99 = n5
% 260.89/66.58 (28) pred(all_4_88) = all_4_28
% 260.89/66.58 (29) sum(all_4_31, all_4_30) = all_4_29
% 260.89/66.58 (30) sum(n8, n10) = n7
% 260.89/66.58 (31) sum(all_4_57, all_4_56) = all_4_94
% 260.89/66.58 (32) sum(n0, n2) = n2
% 260.89/66.58 (33) sum(all_4_33, all_4_32) = all_4_88
% 260.89/66.58 (34) sum(n3, n5) = n8
% 260.89/66.58 (35) sum(n10, n10) = n9
% 260.89/66.58 (36) sum(all_4_47, all_4_43) = all_4_41
% 260.89/66.58 (37) pred(n5) = n4
% 260.89/66.58 (38) sum(all_4_29, all_4_26) = all_4_87
% 260.89/66.58 (39) pred(all_4_91) = all_4_39
% 260.89/66.58 (40) pred(all_4_89) = all_4_31
% 260.89/66.58 (41) pred(all_4_92) = all_4_44
% 260.89/66.58 (42) sum(all_4_65, all_4_64) = all_4_96
% 260.89/66.58 (43) pred(n4) = n3
% 260.89/66.58 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.89/66.58 | ~ (succ(v2) = v0))
% 260.89/66.58 (45) pred(all_4_97) = all_4_63
% 260.89/66.58 (46) succ(all_4_99) = all_4_67
% 260.89/66.58 (47) pred(n9) = n8
% 260.89/66.58 (48) succ(n3) = n4
% 260.89/66.58 (49) pred(all_4_96) = all_4_60
% 260.89/66.58 (50) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 260.89/66.58 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 260.89/66.58 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.89/66.58 (51) succ(all_4_96) = all_4_62
% 260.89/66.58 (52) pred(n3) = n2
% 260.89/66.58 (53) succ(all_4_88) = all_4_30
% 260.89/66.58 (54) sum(all_4_55, all_4_51) = all_4_49
% 260.89/66.58 (55) sum(all_4_36, all_4_35) = all_4_34
% 260.89/66.58 (56) sum(all_4_47, all_4_46) = all_4_45
% 260.89/66.58 (57) pred(all_4_93) = all_4_47
% 260.89/66.58 (58) sum(all_4_71, all_4_67) = all_4_65
% 260.89/66.58 (59) sum(all_4_60, all_4_59) = all_4_58
% 260.89/66.58 (60) sum(all_4_41, all_4_40) = all_4_90
% 260.89/66.58 (61) sum(all_4_68, all_4_67) = all_4_66
% 260.89/66.58 (62) sum(all_4_39, all_4_35) = all_4_33
% 260.89/66.58 (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.89/66.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.89/66.58 (64) sum(all_4_45, all_4_42) = all_4_91
% 260.89/66.58 (65) sum(all_4_39, all_4_38) = all_4_37
% 260.89/66.58 (66) sum(n6, n6) = n1
% 260.89/66.58 (67) sum(all_4_44, all_4_43) = all_4_42
% 260.89/66.58 (68) sum(n8, n8) = all_4_99
% 260.89/66.58 (69) succ(n5) = n6
% 260.89/66.58 (70) sum(all_4_69, all_4_66) = all_4_97
% 260.89/66.58 (71) succ(n4) = n5
% 260.89/66.58 (72) succ(all_4_98) = all_4_70
% 260.89/66.58 (73) pred(all_4_90) = all_4_36
% 260.89/66.58 (74) pred(n1) = n0
% 260.89/66.58 (75) sum(all_4_68, all_4_70) = all_4_64
% 260.89/66.58 (76) succ(all_4_97) = all_4_59
% 260.89/66.58 (77) sum(all_4_36, all_4_38) = all_4_32
% 260.89/66.58 (78) sum(all_4_61, all_4_58) = all_4_95
% 260.89/66.58 (79) sum(n7, n7) = n3
% 260.89/66.58 (80) sum(all_4_49, all_4_48) = all_4_92
% 260.89/66.58 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.89/66.58 | ~ (pred(v2) = v0))
% 260.89/66.58 (82) sum(all_4_52, all_4_51) = all_4_50
% 260.89/66.58 (83) sum(all_4_53, all_4_50) = all_4_93
% 260.89/66.58 (84) succ(all_4_93) = all_4_43
% 260.89/66.58 (85) pred(all_4_98) = all_4_68
% 260.89/66.58 (86) pred(all_4_94) = all_4_52
% 260.89/66.58
% 260.89/66.58 Begin of proof
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (24), (85) imply:
% 260.89/66.58 | (87) pred(n5) = all_4_68
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (25), (27) imply:
% 260.89/66.58 | (88) pred(n5) = all_4_71
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (24), (72) imply:
% 260.89/66.58 | (89) succ(n5) = all_4_70
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (27), (46) imply:
% 260.89/66.58 | (90) succ(n5) = all_4_67
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (27), (68) imply:
% 260.89/66.58 | (91) sum(n8, n8) = n5
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (44) with n6, all_4_67, n5, simplifying with (69),
% 260.89/66.58 | (90) gives:
% 260.89/66.58 | (92) all_4_67 = n6
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (44) with all_4_70, all_4_67, n5, simplifying with
% 260.89/66.58 | (89), (90) gives:
% 260.89/66.58 | (93) all_4_67 = all_4_70
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (81) with n4, all_4_68, n5, simplifying with (37),
% 260.89/66.58 | (87) gives:
% 260.89/66.58 | (94) all_4_68 = n4
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (81) with all_4_71, all_4_68, n5, simplifying with
% 260.89/66.58 | (87), (88) gives:
% 260.89/66.58 | (95) all_4_68 = all_4_71
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (92), (93) imply:
% 260.89/66.58 | (96) all_4_70 = n6
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (94), (95) imply:
% 260.89/66.58 | (97) all_4_71 = n4
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (61), (92), (94) imply:
% 260.89/66.58 | (98) sum(n4, n6) = all_4_66
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (75), (94), (96) imply:
% 260.89/66.58 | (99) sum(n4, n6) = all_4_64
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (58), (92), (97) imply:
% 260.89/66.58 | (100) sum(n4, n6) = all_4_65
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (16), (96), (97) imply:
% 260.89/66.58 | (101) sum(n4, n6) = all_4_69
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with n10, all_4_65, n6, n4, simplifying with
% 260.89/66.58 | (6), (100) gives:
% 260.89/66.58 | (102) all_4_65 = n10
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_66, all_4_65, n6, n4, simplifying
% 260.89/66.58 | with (98), (100) gives:
% 260.89/66.58 | (103) all_4_65 = all_4_66
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_66, all_4_64, n6, n4, simplifying
% 260.89/66.58 | with (98), (99) gives:
% 260.89/66.58 | (104) all_4_64 = all_4_66
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_69, all_4_64, n6, n4, simplifying
% 260.89/66.58 | with (99), (101) gives:
% 260.89/66.58 | (105) all_4_64 = all_4_69
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (104), (105) imply:
% 260.89/66.58 | (106) all_4_66 = all_4_69
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (106) implies:
% 260.89/66.58 | (107) all_4_66 = all_4_69
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (102), (103) imply:
% 260.89/66.58 | (108) all_4_66 = n10
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (108) implies:
% 260.89/66.58 | (109) all_4_66 = n10
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (107), (109) imply:
% 260.89/66.58 | (110) all_4_69 = n10
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (105), (110) imply:
% 260.89/66.58 | (111) all_4_64 = n10
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (42), (102), (111) imply:
% 260.89/66.58 | (112) sum(n10, n10) = all_4_96
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (70), (109), (110) imply:
% 260.89/66.58 | (113) sum(n10, n10) = all_4_97
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with n9, all_4_96, n10, n10, simplifying with
% 260.89/66.58 | (35), (112) gives:
% 260.89/66.58 | (114) all_4_96 = n9
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_97, all_4_96, n10, n10, simplifying
% 260.89/66.58 | with (112), (113) gives:
% 260.89/66.58 | (115) all_4_96 = all_4_97
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (114), (115) imply:
% 260.89/66.58 | (116) all_4_97 = n9
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (116) implies:
% 260.89/66.58 | (117) all_4_97 = n9
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (49), (114) imply:
% 260.89/66.58 | (118) pred(n9) = all_4_60
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (45), (117) imply:
% 260.89/66.58 | (119) pred(n9) = all_4_63
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (51), (114) imply:
% 260.89/66.58 | (120) succ(n9) = all_4_62
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (76), (117) imply:
% 260.89/66.58 | (121) succ(n9) = all_4_59
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (44) with n10, all_4_59, n9, simplifying with (13),
% 260.89/66.58 | (121) gives:
% 260.89/66.58 | (122) all_4_59 = n10
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (44) with all_4_62, all_4_59, n9, simplifying with
% 260.89/66.58 | (120), (121) gives:
% 260.89/66.58 | (123) all_4_59 = all_4_62
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (81) with n8, all_4_60, n9, simplifying with (47),
% 260.89/66.58 | (118) gives:
% 260.89/66.58 | (124) all_4_60 = n8
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (81) with all_4_63, all_4_60, n9, simplifying with
% 260.89/66.58 | (118), (119) gives:
% 260.89/66.58 | (125) all_4_60 = all_4_63
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (122), (123) imply:
% 260.89/66.58 | (126) all_4_62 = n10
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (124), (125) imply:
% 260.89/66.58 | (127) all_4_63 = n8
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (59), (122), (124) imply:
% 260.89/66.58 | (128) sum(n8, n10) = all_4_58
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (15), (124), (126) imply:
% 260.89/66.58 | (129) sum(n8, n10) = all_4_56
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (19), (122), (127) imply:
% 260.89/66.58 | (130) sum(n8, n10) = all_4_57
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (21), (126), (127) imply:
% 260.89/66.58 | (131) sum(n8, n10) = all_4_61
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with n7, all_4_57, n10, n8, simplifying with
% 260.89/66.58 | (30), (130) gives:
% 260.89/66.58 | (132) all_4_57 = n7
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_58, all_4_57, n10, n8, simplifying
% 260.89/66.58 | with (128), (130) gives:
% 260.89/66.58 | (133) all_4_57 = all_4_58
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_57, all_4_56, n10, n8, simplifying
% 260.89/66.58 | with (129), (130) gives:
% 260.89/66.58 | (134) all_4_56 = all_4_57
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_61, all_4_56, n10, n8, simplifying
% 260.89/66.58 | with (129), (131) gives:
% 260.89/66.58 | (135) all_4_56 = all_4_61
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (134), (135) imply:
% 260.89/66.58 | (136) all_4_57 = all_4_61
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (136) implies:
% 260.89/66.58 | (137) all_4_57 = all_4_61
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (132), (133) imply:
% 260.89/66.58 | (138) all_4_58 = n7
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (133), (137) imply:
% 260.89/66.58 | (139) all_4_58 = all_4_61
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (138), (139) imply:
% 260.89/66.58 | (140) all_4_61 = n7
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (135), (140) imply:
% 260.89/66.58 | (141) all_4_56 = n7
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (31), (132), (141) imply:
% 260.89/66.58 | (142) sum(n7, n7) = all_4_94
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (78), (138), (140) imply:
% 260.89/66.58 | (143) sum(n7, n7) = all_4_95
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with n3, all_4_94, n7, n7, simplifying with
% 260.89/66.58 | (79), (142) gives:
% 260.89/66.58 | (144) all_4_94 = n3
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_95, all_4_94, n7, n7, simplifying
% 260.89/66.58 | with (142), (143) gives:
% 260.89/66.58 | (145) all_4_94 = all_4_95
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (144), (145) imply:
% 260.89/66.58 | (146) all_4_95 = n3
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (86), (144) imply:
% 260.89/66.58 | (147) pred(n3) = all_4_52
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (10), (146) imply:
% 260.89/66.58 | (148) pred(n3) = all_4_55
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (22), (144) imply:
% 260.89/66.58 | (149) succ(n3) = all_4_54
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (2), (146) imply:
% 260.89/66.58 | (150) succ(n3) = all_4_51
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (44) with n4, all_4_51, n3, simplifying with (48),
% 260.89/66.58 | (150) gives:
% 260.89/66.58 | (151) all_4_51 = n4
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (44) with all_4_54, all_4_51, n3, simplifying with
% 260.89/66.58 | (149), (150) gives:
% 260.89/66.58 | (152) all_4_51 = all_4_54
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (81) with n2, all_4_52, n3, simplifying with (52),
% 260.89/66.58 | (147) gives:
% 260.89/66.58 | (153) all_4_52 = n2
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (81) with all_4_55, all_4_52, n3, simplifying with
% 260.89/66.58 | (147), (148) gives:
% 260.89/66.58 | (154) all_4_52 = all_4_55
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (151), (152) imply:
% 260.89/66.58 | (155) all_4_54 = n4
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (153), (154) imply:
% 260.89/66.58 | (156) all_4_55 = n2
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (156) implies:
% 260.89/66.58 | (157) all_4_55 = n2
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (82), (151), (153) imply:
% 260.89/66.58 | (158) sum(n2, n4) = all_4_50
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (14), (153), (155) imply:
% 260.89/66.58 | (159) sum(n2, n4) = all_4_48
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (54), (151), (157) imply:
% 260.89/66.58 | (160) sum(n2, n4) = all_4_49
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (17), (155), (157) imply:
% 260.89/66.58 | (161) sum(n2, n4) = all_4_53
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with n6, all_4_49, n4, n2, simplifying with
% 260.89/66.58 | (18), (160) gives:
% 260.89/66.58 | (162) all_4_49 = n6
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_50, all_4_49, n4, n2, simplifying
% 260.89/66.58 | with (158), (160) gives:
% 260.89/66.58 | (163) all_4_49 = all_4_50
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_49, all_4_48, n4, n2, simplifying
% 260.89/66.58 | with (159), (160) gives:
% 260.89/66.58 | (164) all_4_48 = all_4_49
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with all_4_53, all_4_48, n4, n2, simplifying
% 260.89/66.58 | with (159), (161) gives:
% 260.89/66.58 | (165) all_4_48 = all_4_53
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (164), (165) imply:
% 260.89/66.58 | (166) all_4_49 = all_4_53
% 260.89/66.58 |
% 260.89/66.58 | SIMP: (166) implies:
% 260.89/66.58 | (167) all_4_49 = all_4_53
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (162), (163) imply:
% 260.89/66.58 | (168) all_4_50 = n6
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (163), (167) imply:
% 260.89/66.58 | (169) all_4_50 = all_4_53
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (168), (169) imply:
% 260.89/66.58 | (170) all_4_53 = n6
% 260.89/66.58 |
% 260.89/66.58 | COMBINE_EQS: (165), (170) imply:
% 260.89/66.58 | (171) all_4_48 = n6
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (80), (162), (171) imply:
% 260.89/66.58 | (172) sum(n6, n6) = all_4_92
% 260.89/66.58 |
% 260.89/66.58 | REDUCE: (83), (168), (170) imply:
% 260.89/66.58 | (173) sum(n6, n6) = all_4_93
% 260.89/66.58 |
% 260.89/66.58 | GROUND_INST: instantiating (63) with n1, all_4_92, n6, n6, simplifying with
% 260.89/66.58 | (66), (172) gives:
% 260.89/66.58 | (174) all_4_92 = n1
% 260.89/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_93, all_4_92, n6, n6, simplifying
% 260.96/66.58 | with (172), (173) gives:
% 260.96/66.58 | (175) all_4_92 = all_4_93
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (174), (175) imply:
% 260.96/66.58 | (176) all_4_93 = n1
% 260.96/66.58 |
% 260.96/66.58 | SIMP: (176) implies:
% 260.96/66.58 | (177) all_4_93 = n1
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (41), (174) imply:
% 260.96/66.58 | (178) pred(n1) = all_4_44
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (57), (177) imply:
% 260.96/66.58 | (179) pred(n1) = all_4_47
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (7), (174) imply:
% 260.96/66.58 | (180) succ(n1) = all_4_46
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (84), (177) imply:
% 260.96/66.58 | (181) succ(n1) = all_4_43
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (44) with n2, all_4_43, n1, simplifying with (4),
% 260.96/66.58 | (181) gives:
% 260.96/66.58 | (182) all_4_43 = n2
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (44) with all_4_46, all_4_43, n1, simplifying with
% 260.96/66.58 | (180), (181) gives:
% 260.96/66.58 | (183) all_4_43 = all_4_46
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (81) with n0, all_4_44, n1, simplifying with (74),
% 260.96/66.58 | (178) gives:
% 260.96/66.58 | (184) all_4_44 = n0
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (81) with all_4_47, all_4_44, n1, simplifying with
% 260.96/66.58 | (178), (179) gives:
% 260.96/66.58 | (185) all_4_44 = all_4_47
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (182), (183) imply:
% 260.96/66.58 | (186) all_4_46 = n2
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.58 | (187) all_4_47 = n0
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (67), (182), (184) imply:
% 260.96/66.58 | (188) sum(n0, n2) = all_4_42
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (11), (184), (186) imply:
% 260.96/66.58 | (189) sum(n0, n2) = all_4_40
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (36), (182), (187) imply:
% 260.96/66.58 | (190) sum(n0, n2) = all_4_41
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (56), (186), (187) imply:
% 260.96/66.58 | (191) sum(n0, n2) = all_4_45
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with n2, all_4_41, n2, n0, simplifying with
% 260.96/66.58 | (32), (190) gives:
% 260.96/66.58 | (192) all_4_41 = n2
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_42, all_4_41, n2, n0, simplifying
% 260.96/66.58 | with (188), (190) gives:
% 260.96/66.58 | (193) all_4_41 = all_4_42
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_41, all_4_40, n2, n0, simplifying
% 260.96/66.58 | with (189), (190) gives:
% 260.96/66.58 | (194) all_4_40 = all_4_41
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_45, all_4_40, n2, n0, simplifying
% 260.96/66.58 | with (189), (191) gives:
% 260.96/66.58 | (195) all_4_40 = all_4_45
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (194), (195) imply:
% 260.96/66.58 | (196) all_4_41 = all_4_45
% 260.96/66.58 |
% 260.96/66.58 | SIMP: (196) implies:
% 260.96/66.58 | (197) all_4_41 = all_4_45
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (192), (193) imply:
% 260.96/66.58 | (198) all_4_42 = n2
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (193), (197) imply:
% 260.96/66.58 | (199) all_4_42 = all_4_45
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (198), (199) imply:
% 260.96/66.58 | (200) all_4_45 = n2
% 260.96/66.58 |
% 260.96/66.58 | SIMP: (200) implies:
% 260.96/66.58 | (201) all_4_45 = n2
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (195), (201) imply:
% 260.96/66.58 | (202) all_4_40 = n2
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (60), (192), (202) imply:
% 260.96/66.58 | (203) sum(n2, n2) = all_4_90
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (64), (198), (201) imply:
% 260.96/66.58 | (204) sum(n2, n2) = all_4_91
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with n4, all_4_90, n2, n2, simplifying with
% 260.96/66.58 | (9), (203) gives:
% 260.96/66.58 | (205) all_4_90 = n4
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_91, all_4_90, n2, n2, simplifying
% 260.96/66.58 | with (203), (204) gives:
% 260.96/66.58 | (206) all_4_90 = all_4_91
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (205), (206) imply:
% 260.96/66.58 | (207) all_4_91 = n4
% 260.96/66.58 |
% 260.96/66.58 | SIMP: (207) implies:
% 260.96/66.58 | (208) all_4_91 = n4
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (73), (205) imply:
% 260.96/66.58 | (209) pred(n4) = all_4_36
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (39), (208) imply:
% 260.96/66.58 | (210) pred(n4) = all_4_39
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (26), (205) imply:
% 260.96/66.58 | (211) succ(n4) = all_4_38
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (5), (208) imply:
% 260.96/66.58 | (212) succ(n4) = all_4_35
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (44) with n5, all_4_35, n4, simplifying with (71),
% 260.96/66.58 | (212) gives:
% 260.96/66.58 | (213) all_4_35 = n5
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (44) with all_4_38, all_4_35, n4, simplifying with
% 260.96/66.58 | (211), (212) gives:
% 260.96/66.58 | (214) all_4_35 = all_4_38
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (81) with n3, all_4_36, n4, simplifying with (43),
% 260.96/66.58 | (209) gives:
% 260.96/66.58 | (215) all_4_36 = n3
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (81) with all_4_39, all_4_36, n4, simplifying with
% 260.96/66.58 | (209), (210) gives:
% 260.96/66.58 | (216) all_4_36 = all_4_39
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (213), (214) imply:
% 260.96/66.58 | (217) all_4_38 = n5
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (215), (216) imply:
% 260.96/66.58 | (218) all_4_39 = n3
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (55), (213), (215) imply:
% 260.96/66.58 | (219) sum(n3, n5) = all_4_34
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (77), (215), (217) imply:
% 260.96/66.58 | (220) sum(n3, n5) = all_4_32
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (62), (213), (218) imply:
% 260.96/66.58 | (221) sum(n3, n5) = all_4_33
% 260.96/66.58 |
% 260.96/66.58 | REDUCE: (65), (217), (218) imply:
% 260.96/66.58 | (222) sum(n3, n5) = all_4_37
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with n8, all_4_33, n5, n3, simplifying with
% 260.96/66.58 | (34), (221) gives:
% 260.96/66.58 | (223) all_4_33 = n8
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_34, all_4_33, n5, n3, simplifying
% 260.96/66.58 | with (219), (221) gives:
% 260.96/66.58 | (224) all_4_33 = all_4_34
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_33, all_4_32, n5, n3, simplifying
% 260.96/66.58 | with (220), (221) gives:
% 260.96/66.58 | (225) all_4_32 = all_4_33
% 260.96/66.58 |
% 260.96/66.58 | GROUND_INST: instantiating (63) with all_4_37, all_4_32, n5, n3, simplifying
% 260.96/66.58 | with (220), (222) gives:
% 260.96/66.58 | (226) all_4_32 = all_4_37
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (225), (226) imply:
% 260.96/66.58 | (227) all_4_33 = all_4_37
% 260.96/66.58 |
% 260.96/66.58 | SIMP: (227) implies:
% 260.96/66.58 | (228) all_4_33 = all_4_37
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (223), (224) imply:
% 260.96/66.58 | (229) all_4_34 = n8
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (224), (228) imply:
% 260.96/66.58 | (230) all_4_34 = all_4_37
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (229), (230) imply:
% 260.96/66.58 | (231) all_4_37 = n8
% 260.96/66.58 |
% 260.96/66.58 | COMBINE_EQS: (226), (231) imply:
% 260.96/66.59 | (232) all_4_32 = n8
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (33), (223), (232) imply:
% 260.96/66.59 | (233) sum(n8, n8) = all_4_88
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (23), (229), (231) imply:
% 260.96/66.59 | (234) sum(n8, n8) = all_4_89
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with n5, all_4_88, n8, n8, simplifying with
% 260.96/66.59 | (91), (233) gives:
% 260.96/66.59 | (235) all_4_88 = n5
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with all_4_89, all_4_88, n8, n8, simplifying
% 260.96/66.59 | with (233), (234) gives:
% 260.96/66.59 | (236) all_4_88 = all_4_89
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (235), (236) imply:
% 260.96/66.59 | (237) all_4_89 = n5
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (28), (235) imply:
% 260.96/66.59 | (238) pred(n5) = all_4_28
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (40), (237) imply:
% 260.96/66.59 | (239) pred(n5) = all_4_31
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (53), (235) imply:
% 260.96/66.59 | (240) succ(n5) = all_4_30
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (8), (237) imply:
% 260.96/66.59 | (241) succ(n5) = all_4_27
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (44) with n6, all_4_27, n5, simplifying with (69),
% 260.96/66.59 | (241) gives:
% 260.96/66.59 | (242) all_4_27 = n6
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (44) with all_4_30, all_4_27, n5, simplifying with
% 260.96/66.59 | (240), (241) gives:
% 260.96/66.59 | (243) all_4_27 = all_4_30
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (81) with n4, all_4_28, n5, simplifying with (37),
% 260.96/66.59 | (238) gives:
% 260.96/66.59 | (244) all_4_28 = n4
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (81) with all_4_31, all_4_28, n5, simplifying with
% 260.96/66.59 | (238), (239) gives:
% 260.96/66.59 | (245) all_4_28 = all_4_31
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (242), (243) imply:
% 260.96/66.59 | (246) all_4_30 = n6
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (244), (245) imply:
% 260.96/66.59 | (247) all_4_31 = n4
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (1), (242), (244) imply:
% 260.96/66.59 | (248) sum(n4, n6) = all_4_26
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (12), (244), (246) imply:
% 260.96/66.59 | (249) sum(n4, n6) = all_4_24
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (20), (242), (247) imply:
% 260.96/66.59 | (250) sum(n4, n6) = all_4_25
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (29), (246), (247) imply:
% 260.96/66.59 | (251) sum(n4, n6) = all_4_29
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with n10, all_4_25, n6, n4, simplifying with
% 260.96/66.59 | (6), (250) gives:
% 260.96/66.59 | (252) all_4_25 = n10
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with all_4_26, all_4_25, n6, n4, simplifying
% 260.96/66.59 | with (248), (250) gives:
% 260.96/66.59 | (253) all_4_25 = all_4_26
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with all_4_25, all_4_24, n6, n4, simplifying
% 260.96/66.59 | with (249), (250) gives:
% 260.96/66.59 | (254) all_4_24 = all_4_25
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with all_4_29, all_4_24, n6, n4, simplifying
% 260.96/66.59 | with (249), (251) gives:
% 260.96/66.59 | (255) all_4_24 = all_4_29
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (254), (255) imply:
% 260.96/66.59 | (256) all_4_25 = all_4_29
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (256) implies:
% 260.96/66.59 | (257) all_4_25 = all_4_29
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (252), (253) imply:
% 260.96/66.59 | (258) all_4_26 = n10
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (253), (257) imply:
% 260.96/66.59 | (259) all_4_26 = all_4_29
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (258), (259) imply:
% 260.96/66.59 | (260) all_4_29 = n10
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (255), (260) imply:
% 260.96/66.59 | (261) all_4_24 = n10
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (3), (252), (261) imply:
% 260.96/66.59 | (262) sum(n10, n10) = all_4_86
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (38), (258), (260) imply:
% 260.96/66.59 | (263) sum(n10, n10) = all_4_87
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with n9, all_4_87, n10, n10, simplifying with
% 260.96/66.59 | (35), (263) gives:
% 260.96/66.59 | (264) all_4_87 = n9
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (63) with n9, all_4_86, n10, n10, simplifying with
% 260.96/66.59 | (35), (262) gives:
% 260.96/66.59 | (265) all_4_86 = n9
% 260.96/66.59 |
% 260.96/66.59 | REF_CLOSE: (24), (27), (50), (114), (117), (144), (146), (174), (177), (205),
% 260.96/66.59 | (208), (235), (237), (264), (265) are inconsistent by sub-proof
% 260.96/66.59 | #174.
% 260.96/66.59 |
% 260.96/66.59 End of proof
% 260.96/66.59
% 260.96/66.59 Sub-proof #70 shows that the following formulas are inconsistent:
% 260.96/66.59 ----------------------------------------------------------------
% 260.96/66.59 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.96/66.59 (2) succ(all_4_95) = all_4_51
% 260.96/66.59 (3) succ(all_4_87) = all_4_19
% 260.96/66.59 (4) sum(all_4_25, all_4_24) = all_4_86
% 260.96/66.59 (5) succ(n1) = n2
% 260.96/66.59 (6) succ(all_4_91) = all_4_35
% 260.96/66.59 (7) sum(n4, n6) = n10
% 260.96/66.59 (8) sum(all_4_21, all_4_18) = all_4_85
% 260.96/66.59 (9) succ(all_4_92) = all_4_46
% 260.96/66.59 (10) sum(all_4_23, all_4_19) = all_4_17
% 260.96/66.59 (11) ~ (all_4_84 = all_4_85)
% 260.96/66.59 (12) succ(all_4_89) = all_4_27
% 260.96/66.59 (13) sum(n2, n2) = n4
% 260.96/66.59 (14) pred(all_4_95) = all_4_55
% 260.96/66.59 (15) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.59 (16) sum(all_4_28, all_4_30) = all_4_24
% 260.96/66.59 (17) sum(all_4_20, all_4_19) = all_4_18
% 260.96/66.59 (18) succ(n9) = n10
% 260.96/66.59 (19) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.59 (20) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.59 (21) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.59 (22) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.59 (23) sum(all_4_23, all_4_22) = all_4_21
% 260.96/66.59 (24) sum(n2, n4) = n6
% 260.96/66.59 (25) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.59 (26) sum(all_4_31, all_4_27) = all_4_25
% 260.96/66.59 (27) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.59 (28) succ(all_4_94) = all_4_54
% 260.96/66.59 (29) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.59 (30) all_4_98 = n5
% 260.96/66.59 (31) succ(all_4_86) = all_4_22
% 260.96/66.59 (32) pred(all_4_99) = all_4_71
% 260.96/66.59 (33) pred(all_4_86) = all_4_20
% 260.96/66.59 (34) succ(all_4_90) = all_4_38
% 260.96/66.59 (35) all_4_99 = n5
% 260.96/66.59 (36) pred(all_4_88) = all_4_28
% 260.96/66.59 (37) sum(all_4_31, all_4_30) = all_4_29
% 260.96/66.59 (38) sum(n8, n10) = n7
% 260.96/66.59 (39) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.59 (40) sum(n0, n2) = n2
% 260.96/66.59 (41) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.59 (42) sum(n3, n5) = n8
% 260.96/66.59 (43) sum(n10, n10) = n9
% 260.96/66.59 (44) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.59 (45) pred(n5) = n4
% 260.96/66.59 (46) sum(all_4_29, all_4_26) = all_4_87
% 260.96/66.59 (47) pred(all_4_91) = all_4_39
% 260.96/66.59 (48) pred(all_4_89) = all_4_31
% 260.96/66.59 (49) pred(all_4_92) = all_4_44
% 260.96/66.59 (50) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.59 (51) pred(n4) = n3
% 260.96/66.59 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.59 | ~ (succ(v2) = v0))
% 260.96/66.59 (53) pred(all_4_97) = all_4_63
% 260.96/66.59 (54) succ(all_4_99) = all_4_67
% 260.96/66.59 (55) pred(n9) = n8
% 260.96/66.59 (56) succ(n3) = n4
% 260.96/66.59 (57) pred(all_4_96) = all_4_60
% 260.96/66.59 (58) succ(all_4_96) = all_4_62
% 260.96/66.59 (59) pred(n3) = n2
% 260.96/66.59 (60) succ(all_4_88) = all_4_30
% 260.96/66.59 (61) sum(all_4_20, all_4_22) = all_4_16
% 260.96/66.59 (62) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.59 (63) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.59 (64) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.59 (65) pred(all_4_93) = all_4_47
% 260.96/66.59 (66) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.59 (67) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.59 (68) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.59 (69) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.59 (70) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.59 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.59 (72) pred(all_4_87) = all_4_23
% 260.96/66.59 (73) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.59 (74) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.59 (75) sum(n6, n6) = n1
% 260.96/66.59 (76) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.59 (77) sum(n8, n8) = all_4_99
% 260.96/66.59 (78) succ(n5) = n6
% 260.96/66.59 (79) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.59 (80) succ(n4) = n5
% 260.96/66.59 (81) sum(all_4_17, all_4_16) = all_4_84
% 260.96/66.59 (82) succ(all_4_98) = all_4_70
% 260.96/66.59 (83) pred(all_4_90) = all_4_36
% 260.96/66.59 (84) pred(n1) = n0
% 260.96/66.59 (85) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.59 (86) succ(all_4_97) = all_4_59
% 260.96/66.59 (87) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.59 (88) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.59 (89) sum(n7, n7) = n3
% 260.96/66.59 (90) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.59 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.59 | ~ (pred(v2) = v0))
% 260.96/66.59 (92) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.59 (93) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.59 (94) succ(all_4_93) = all_4_43
% 260.96/66.59 (95) pred(all_4_98) = all_4_68
% 260.96/66.59 (96) pred(all_4_94) = all_4_52
% 260.96/66.59
% 260.96/66.59 Begin of proof
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (30), (95) imply:
% 260.96/66.59 | (97) pred(n5) = all_4_68
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (32), (35) imply:
% 260.96/66.59 | (98) pred(n5) = all_4_71
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (30), (82) imply:
% 260.96/66.59 | (99) succ(n5) = all_4_70
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (35), (54) imply:
% 260.96/66.59 | (100) succ(n5) = all_4_67
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (35), (77) imply:
% 260.96/66.59 | (101) sum(n8, n8) = n5
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with n6, all_4_67, n5, simplifying with (78),
% 260.96/66.59 | (100) gives:
% 260.96/66.59 | (102) all_4_67 = n6
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with all_4_70, all_4_67, n5, simplifying with
% 260.96/66.59 | (99), (100) gives:
% 260.96/66.59 | (103) all_4_67 = all_4_70
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with n4, all_4_68, n5, simplifying with (45),
% 260.96/66.59 | (97) gives:
% 260.96/66.59 | (104) all_4_68 = n4
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n5, simplifying with
% 260.96/66.59 | (97), (98) gives:
% 260.96/66.59 | (105) all_4_68 = all_4_71
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (102), (103) imply:
% 260.96/66.59 | (106) all_4_70 = n6
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (104), (105) imply:
% 260.96/66.59 | (107) all_4_71 = n4
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (69), (102), (104) imply:
% 260.96/66.59 | (108) sum(n4, n6) = all_4_66
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (85), (104), (106) imply:
% 260.96/66.59 | (109) sum(n4, n6) = all_4_64
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (66), (102), (107) imply:
% 260.96/66.59 | (110) sum(n4, n6) = all_4_65
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (21), (106), (107) imply:
% 260.96/66.59 | (111) sum(n4, n6) = all_4_69
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n10, all_4_65, n6, n4, simplifying with
% 260.96/66.59 | (7), (110) gives:
% 260.96/66.59 | (112) all_4_65 = n10
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_66, all_4_65, n6, n4, simplifying
% 260.96/66.59 | with (108), (110) gives:
% 260.96/66.59 | (113) all_4_65 = all_4_66
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_66, all_4_64, n6, n4, simplifying
% 260.96/66.59 | with (108), (109) gives:
% 260.96/66.59 | (114) all_4_64 = all_4_66
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_69, all_4_64, n6, n4, simplifying
% 260.96/66.59 | with (109), (111) gives:
% 260.96/66.59 | (115) all_4_64 = all_4_69
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (114), (115) imply:
% 260.96/66.59 | (116) all_4_66 = all_4_69
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (116) implies:
% 260.96/66.59 | (117) all_4_66 = all_4_69
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (112), (113) imply:
% 260.96/66.59 | (118) all_4_66 = n10
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (118) implies:
% 260.96/66.59 | (119) all_4_66 = n10
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (117), (119) imply:
% 260.96/66.59 | (120) all_4_69 = n10
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (115), (120) imply:
% 260.96/66.59 | (121) all_4_64 = n10
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (50), (112), (121) imply:
% 260.96/66.59 | (122) sum(n10, n10) = all_4_96
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (79), (119), (120) imply:
% 260.96/66.59 | (123) sum(n10, n10) = all_4_97
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n9, all_4_96, n10, n10, simplifying with
% 260.96/66.59 | (43), (122) gives:
% 260.96/66.59 | (124) all_4_96 = n9
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_97, all_4_96, n10, n10, simplifying
% 260.96/66.59 | with (122), (123) gives:
% 260.96/66.59 | (125) all_4_96 = all_4_97
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (124), (125) imply:
% 260.96/66.59 | (126) all_4_97 = n9
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (126) implies:
% 260.96/66.59 | (127) all_4_97 = n9
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (57), (124) imply:
% 260.96/66.59 | (128) pred(n9) = all_4_60
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (53), (127) imply:
% 260.96/66.59 | (129) pred(n9) = all_4_63
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (58), (124) imply:
% 260.96/66.59 | (130) succ(n9) = all_4_62
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (86), (127) imply:
% 260.96/66.59 | (131) succ(n9) = all_4_59
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with n10, all_4_59, n9, simplifying with (18),
% 260.96/66.59 | (131) gives:
% 260.96/66.59 | (132) all_4_59 = n10
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with all_4_62, all_4_59, n9, simplifying with
% 260.96/66.59 | (130), (131) gives:
% 260.96/66.59 | (133) all_4_59 = all_4_62
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with n8, all_4_60, n9, simplifying with (55),
% 260.96/66.59 | (128) gives:
% 260.96/66.59 | (134) all_4_60 = n8
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n9, simplifying with
% 260.96/66.59 | (128), (129) gives:
% 260.96/66.59 | (135) all_4_60 = all_4_63
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (132), (133) imply:
% 260.96/66.59 | (136) all_4_62 = n10
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (134), (135) imply:
% 260.96/66.59 | (137) all_4_63 = n8
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (67), (132), (134) imply:
% 260.96/66.59 | (138) sum(n8, n10) = all_4_58
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (20), (134), (136) imply:
% 260.96/66.59 | (139) sum(n8, n10) = all_4_56
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (25), (132), (137) imply:
% 260.96/66.59 | (140) sum(n8, n10) = all_4_57
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (27), (136), (137) imply:
% 260.96/66.59 | (141) sum(n8, n10) = all_4_61
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n7, all_4_57, n10, n8, simplifying with
% 260.96/66.59 | (38), (140) gives:
% 260.96/66.59 | (142) all_4_57 = n7
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_58, all_4_57, n10, n8, simplifying
% 260.96/66.59 | with (138), (140) gives:
% 260.96/66.59 | (143) all_4_57 = all_4_58
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_57, all_4_56, n10, n8, simplifying
% 260.96/66.59 | with (139), (140) gives:
% 260.96/66.59 | (144) all_4_56 = all_4_57
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_61, all_4_56, n10, n8, simplifying
% 260.96/66.59 | with (139), (141) gives:
% 260.96/66.59 | (145) all_4_56 = all_4_61
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (144), (145) imply:
% 260.96/66.59 | (146) all_4_57 = all_4_61
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (146) implies:
% 260.96/66.59 | (147) all_4_57 = all_4_61
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (142), (143) imply:
% 260.96/66.59 | (148) all_4_58 = n7
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (143), (147) imply:
% 260.96/66.59 | (149) all_4_58 = all_4_61
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (148), (149) imply:
% 260.96/66.59 | (150) all_4_61 = n7
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (145), (150) imply:
% 260.96/66.59 | (151) all_4_56 = n7
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (39), (142), (151) imply:
% 260.96/66.59 | (152) sum(n7, n7) = all_4_94
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (88), (148), (150) imply:
% 260.96/66.59 | (153) sum(n7, n7) = all_4_95
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n3, all_4_94, n7, n7, simplifying with
% 260.96/66.59 | (89), (152) gives:
% 260.96/66.59 | (154) all_4_94 = n3
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_95, all_4_94, n7, n7, simplifying
% 260.96/66.59 | with (152), (153) gives:
% 260.96/66.59 | (155) all_4_94 = all_4_95
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (154), (155) imply:
% 260.96/66.59 | (156) all_4_95 = n3
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (96), (154) imply:
% 260.96/66.59 | (157) pred(n3) = all_4_52
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (14), (156) imply:
% 260.96/66.59 | (158) pred(n3) = all_4_55
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (28), (154) imply:
% 260.96/66.59 | (159) succ(n3) = all_4_54
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (2), (156) imply:
% 260.96/66.59 | (160) succ(n3) = all_4_51
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with n4, all_4_51, n3, simplifying with (56),
% 260.96/66.59 | (160) gives:
% 260.96/66.59 | (161) all_4_51 = n4
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with all_4_54, all_4_51, n3, simplifying with
% 260.96/66.59 | (159), (160) gives:
% 260.96/66.59 | (162) all_4_51 = all_4_54
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with n2, all_4_52, n3, simplifying with (59),
% 260.96/66.59 | (157) gives:
% 260.96/66.59 | (163) all_4_52 = n2
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n3, simplifying with
% 260.96/66.59 | (157), (158) gives:
% 260.96/66.59 | (164) all_4_52 = all_4_55
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (161), (162) imply:
% 260.96/66.59 | (165) all_4_54 = n4
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (163), (164) imply:
% 260.96/66.59 | (166) all_4_55 = n2
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (166) implies:
% 260.96/66.59 | (167) all_4_55 = n2
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (92), (161), (163) imply:
% 260.96/66.59 | (168) sum(n2, n4) = all_4_50
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (19), (163), (165) imply:
% 260.96/66.59 | (169) sum(n2, n4) = all_4_48
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (62), (161), (167) imply:
% 260.96/66.59 | (170) sum(n2, n4) = all_4_49
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (22), (165), (167) imply:
% 260.96/66.59 | (171) sum(n2, n4) = all_4_53
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n6, all_4_49, n4, n2, simplifying with
% 260.96/66.59 | (24), (170) gives:
% 260.96/66.59 | (172) all_4_49 = n6
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_50, all_4_49, n4, n2, simplifying
% 260.96/66.59 | with (168), (170) gives:
% 260.96/66.59 | (173) all_4_49 = all_4_50
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_49, all_4_48, n4, n2, simplifying
% 260.96/66.59 | with (169), (170) gives:
% 260.96/66.59 | (174) all_4_48 = all_4_49
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_53, all_4_48, n4, n2, simplifying
% 260.96/66.59 | with (169), (171) gives:
% 260.96/66.59 | (175) all_4_48 = all_4_53
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (174), (175) imply:
% 260.96/66.59 | (176) all_4_49 = all_4_53
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (176) implies:
% 260.96/66.59 | (177) all_4_49 = all_4_53
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (172), (173) imply:
% 260.96/66.59 | (178) all_4_50 = n6
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (173), (177) imply:
% 260.96/66.59 | (179) all_4_50 = all_4_53
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (178), (179) imply:
% 260.96/66.59 | (180) all_4_53 = n6
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (175), (180) imply:
% 260.96/66.59 | (181) all_4_48 = n6
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (90), (172), (181) imply:
% 260.96/66.59 | (182) sum(n6, n6) = all_4_92
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (93), (178), (180) imply:
% 260.96/66.59 | (183) sum(n6, n6) = all_4_93
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n1, all_4_92, n6, n6, simplifying with
% 260.96/66.59 | (75), (182) gives:
% 260.96/66.59 | (184) all_4_92 = n1
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_93, all_4_92, n6, n6, simplifying
% 260.96/66.59 | with (182), (183) gives:
% 260.96/66.59 | (185) all_4_92 = all_4_93
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.59 | (186) all_4_93 = n1
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (186) implies:
% 260.96/66.59 | (187) all_4_93 = n1
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (49), (184) imply:
% 260.96/66.59 | (188) pred(n1) = all_4_44
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (65), (187) imply:
% 260.96/66.59 | (189) pred(n1) = all_4_47
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (9), (184) imply:
% 260.96/66.59 | (190) succ(n1) = all_4_46
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (94), (187) imply:
% 260.96/66.59 | (191) succ(n1) = all_4_43
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with n2, all_4_43, n1, simplifying with (5),
% 260.96/66.59 | (191) gives:
% 260.96/66.59 | (192) all_4_43 = n2
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with all_4_46, all_4_43, n1, simplifying with
% 260.96/66.59 | (190), (191) gives:
% 260.96/66.59 | (193) all_4_43 = all_4_46
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with n0, all_4_44, n1, simplifying with (84),
% 260.96/66.59 | (188) gives:
% 260.96/66.59 | (194) all_4_44 = n0
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n1, simplifying with
% 260.96/66.59 | (188), (189) gives:
% 260.96/66.59 | (195) all_4_44 = all_4_47
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (192), (193) imply:
% 260.96/66.59 | (196) all_4_46 = n2
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (194), (195) imply:
% 260.96/66.59 | (197) all_4_47 = n0
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (76), (192), (194) imply:
% 260.96/66.59 | (198) sum(n0, n2) = all_4_42
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (15), (194), (196) imply:
% 260.96/66.59 | (199) sum(n0, n2) = all_4_40
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (44), (192), (197) imply:
% 260.96/66.59 | (200) sum(n0, n2) = all_4_41
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (64), (196), (197) imply:
% 260.96/66.59 | (201) sum(n0, n2) = all_4_45
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n2, all_4_41, n2, n0, simplifying with
% 260.96/66.59 | (40), (200) gives:
% 260.96/66.59 | (202) all_4_41 = n2
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_42, all_4_41, n2, n0, simplifying
% 260.96/66.59 | with (198), (200) gives:
% 260.96/66.59 | (203) all_4_41 = all_4_42
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_41, all_4_40, n2, n0, simplifying
% 260.96/66.59 | with (199), (200) gives:
% 260.96/66.59 | (204) all_4_40 = all_4_41
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_45, all_4_40, n2, n0, simplifying
% 260.96/66.59 | with (199), (201) gives:
% 260.96/66.59 | (205) all_4_40 = all_4_45
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (204), (205) imply:
% 260.96/66.59 | (206) all_4_41 = all_4_45
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (206) implies:
% 260.96/66.59 | (207) all_4_41 = all_4_45
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (202), (203) imply:
% 260.96/66.59 | (208) all_4_42 = n2
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (203), (207) imply:
% 260.96/66.59 | (209) all_4_42 = all_4_45
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (208), (209) imply:
% 260.96/66.59 | (210) all_4_45 = n2
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (210) implies:
% 260.96/66.59 | (211) all_4_45 = n2
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (205), (211) imply:
% 260.96/66.59 | (212) all_4_40 = n2
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (68), (202), (212) imply:
% 260.96/66.59 | (213) sum(n2, n2) = all_4_90
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (73), (208), (211) imply:
% 260.96/66.59 | (214) sum(n2, n2) = all_4_91
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n4, all_4_90, n2, n2, simplifying with
% 260.96/66.59 | (13), (213) gives:
% 260.96/66.59 | (215) all_4_90 = n4
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_91, all_4_90, n2, n2, simplifying
% 260.96/66.59 | with (213), (214) gives:
% 260.96/66.59 | (216) all_4_90 = all_4_91
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (215), (216) imply:
% 260.96/66.59 | (217) all_4_91 = n4
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (217) implies:
% 260.96/66.59 | (218) all_4_91 = n4
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (83), (215) imply:
% 260.96/66.59 | (219) pred(n4) = all_4_36
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (47), (218) imply:
% 260.96/66.59 | (220) pred(n4) = all_4_39
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (34), (215) imply:
% 260.96/66.59 | (221) succ(n4) = all_4_38
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (6), (218) imply:
% 260.96/66.59 | (222) succ(n4) = all_4_35
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with n5, all_4_35, n4, simplifying with (80),
% 260.96/66.59 | (222) gives:
% 260.96/66.59 | (223) all_4_35 = n5
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (52) with all_4_38, all_4_35, n4, simplifying with
% 260.96/66.59 | (221), (222) gives:
% 260.96/66.59 | (224) all_4_35 = all_4_38
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with n3, all_4_36, n4, simplifying with (51),
% 260.96/66.59 | (219) gives:
% 260.96/66.59 | (225) all_4_36 = n3
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n4, simplifying with
% 260.96/66.59 | (219), (220) gives:
% 260.96/66.59 | (226) all_4_36 = all_4_39
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (223), (224) imply:
% 260.96/66.59 | (227) all_4_38 = n5
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (225), (226) imply:
% 260.96/66.59 | (228) all_4_39 = n3
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (63), (223), (225) imply:
% 260.96/66.59 | (229) sum(n3, n5) = all_4_34
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (87), (225), (227) imply:
% 260.96/66.59 | (230) sum(n3, n5) = all_4_32
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (70), (223), (228) imply:
% 260.96/66.59 | (231) sum(n3, n5) = all_4_33
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (74), (227), (228) imply:
% 260.96/66.59 | (232) sum(n3, n5) = all_4_37
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with n8, all_4_33, n5, n3, simplifying with
% 260.96/66.59 | (42), (231) gives:
% 260.96/66.59 | (233) all_4_33 = n8
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_34, all_4_33, n5, n3, simplifying
% 260.96/66.59 | with (229), (231) gives:
% 260.96/66.59 | (234) all_4_33 = all_4_34
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_33, all_4_32, n5, n3, simplifying
% 260.96/66.59 | with (230), (231) gives:
% 260.96/66.59 | (235) all_4_32 = all_4_33
% 260.96/66.59 |
% 260.96/66.59 | GROUND_INST: instantiating (71) with all_4_37, all_4_32, n5, n3, simplifying
% 260.96/66.59 | with (230), (232) gives:
% 260.96/66.59 | (236) all_4_32 = all_4_37
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (235), (236) imply:
% 260.96/66.59 | (237) all_4_33 = all_4_37
% 260.96/66.59 |
% 260.96/66.59 | SIMP: (237) implies:
% 260.96/66.59 | (238) all_4_33 = all_4_37
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (233), (234) imply:
% 260.96/66.59 | (239) all_4_34 = n8
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (234), (238) imply:
% 260.96/66.59 | (240) all_4_34 = all_4_37
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (239), (240) imply:
% 260.96/66.59 | (241) all_4_37 = n8
% 260.96/66.59 |
% 260.96/66.59 | COMBINE_EQS: (236), (241) imply:
% 260.96/66.59 | (242) all_4_32 = n8
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (41), (233), (242) imply:
% 260.96/66.59 | (243) sum(n8, n8) = all_4_88
% 260.96/66.59 |
% 260.96/66.59 | REDUCE: (29), (239), (241) imply:
% 260.96/66.59 | (244) sum(n8, n8) = all_4_89
% 260.96/66.59 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with n5, all_4_88, n8, n8, simplifying with
% 260.96/66.60 | (101), (243) gives:
% 260.96/66.60 | (245) all_4_88 = n5
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with all_4_89, all_4_88, n8, n8, simplifying
% 260.96/66.60 | with (243), (244) gives:
% 260.96/66.60 | (246) all_4_88 = all_4_89
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (245), (246) imply:
% 260.96/66.60 | (247) all_4_89 = n5
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (36), (245) imply:
% 260.96/66.60 | (248) pred(n5) = all_4_28
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (48), (247) imply:
% 260.96/66.60 | (249) pred(n5) = all_4_31
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (60), (245) imply:
% 260.96/66.60 | (250) succ(n5) = all_4_30
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (12), (247) imply:
% 260.96/66.60 | (251) succ(n5) = all_4_27
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (52) with n6, all_4_27, n5, simplifying with (78),
% 260.96/66.60 | (251) gives:
% 260.96/66.60 | (252) all_4_27 = n6
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (52) with all_4_30, all_4_27, n5, simplifying with
% 260.96/66.60 | (250), (251) gives:
% 260.96/66.60 | (253) all_4_27 = all_4_30
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (91) with n4, all_4_28, n5, simplifying with (45),
% 260.96/66.60 | (248) gives:
% 260.96/66.60 | (254) all_4_28 = n4
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n5, simplifying with
% 260.96/66.60 | (248), (249) gives:
% 260.96/66.60 | (255) all_4_28 = all_4_31
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (252), (253) imply:
% 260.96/66.60 | (256) all_4_30 = n6
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (254), (255) imply:
% 260.96/66.60 | (257) all_4_31 = n4
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (1), (252), (254) imply:
% 260.96/66.60 | (258) sum(n4, n6) = all_4_26
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (16), (254), (256) imply:
% 260.96/66.60 | (259) sum(n4, n6) = all_4_24
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (26), (252), (257) imply:
% 260.96/66.60 | (260) sum(n4, n6) = all_4_25
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (37), (256), (257) imply:
% 260.96/66.60 | (261) sum(n4, n6) = all_4_29
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with n10, all_4_25, n6, n4, simplifying with
% 260.96/66.60 | (7), (260) gives:
% 260.96/66.60 | (262) all_4_25 = n10
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with all_4_26, all_4_25, n6, n4, simplifying
% 260.96/66.60 | with (258), (260) gives:
% 260.96/66.60 | (263) all_4_25 = all_4_26
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with all_4_25, all_4_24, n6, n4, simplifying
% 260.96/66.60 | with (259), (260) gives:
% 260.96/66.60 | (264) all_4_24 = all_4_25
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with all_4_29, all_4_24, n6, n4, simplifying
% 260.96/66.60 | with (259), (261) gives:
% 260.96/66.60 | (265) all_4_24 = all_4_29
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (264), (265) imply:
% 260.96/66.60 | (266) all_4_25 = all_4_29
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (266) implies:
% 260.96/66.60 | (267) all_4_25 = all_4_29
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (262), (263) imply:
% 260.96/66.60 | (268) all_4_26 = n10
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (263), (267) imply:
% 260.96/66.60 | (269) all_4_26 = all_4_29
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (268), (269) imply:
% 260.96/66.60 | (270) all_4_29 = n10
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (265), (270) imply:
% 260.96/66.60 | (271) all_4_24 = n10
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (4), (262), (271) imply:
% 260.96/66.60 | (272) sum(n10, n10) = all_4_86
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (46), (268), (270) imply:
% 260.96/66.60 | (273) sum(n10, n10) = all_4_87
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with n9, all_4_86, n10, n10, simplifying with
% 260.96/66.60 | (43), (272) gives:
% 260.96/66.60 | (274) all_4_86 = n9
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (71) with all_4_87, all_4_86, n10, n10, simplifying
% 260.96/66.60 | with (272), (273) gives:
% 260.96/66.60 | (275) all_4_86 = all_4_87
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (274), (275) imply:
% 260.96/66.60 | (276) all_4_87 = n9
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (276) implies:
% 260.96/66.60 | (277) all_4_87 = n9
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (33), (274) imply:
% 260.96/66.60 | (278) pred(n9) = all_4_20
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (72), (277) imply:
% 260.96/66.60 | (279) pred(n9) = all_4_23
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (31), (274) imply:
% 260.96/66.60 | (280) succ(n9) = all_4_22
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (3), (277) imply:
% 260.96/66.60 | (281) succ(n9) = all_4_19
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (52) with n10, all_4_19, n9, simplifying with (18),
% 260.96/66.60 | (281) gives:
% 260.96/66.60 | (282) all_4_19 = n10
% 260.96/66.60 |
% 260.96/66.60 | REF_CLOSE: (8), (10), (11), (17), (23), (38), (52), (55), (61), (71), (81),
% 260.96/66.60 | (89), (91), (278), (279), (280), (281), (282) are inconsistent by
% 260.96/66.60 | sub-proof #180.
% 260.96/66.60 |
% 260.96/66.60 End of proof
% 260.96/66.60
% 260.96/66.60 Sub-proof #71 shows that the following formulas are inconsistent:
% 260.96/66.60 ----------------------------------------------------------------
% 260.96/66.60 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.96/66.60 (2) succ(all_4_84) = all_4_14
% 260.96/66.60 (3) succ(all_4_95) = all_4_51
% 260.96/66.60 (4) succ(all_4_87) = all_4_19
% 260.96/66.60 (5) sum(all_4_25, all_4_24) = all_4_86
% 260.96/66.60 (6) succ(n1) = n2
% 260.96/66.60 (7) succ(all_4_91) = all_4_35
% 260.96/66.60 (8) sum(n4, n6) = n10
% 260.96/66.60 (9) sum(all_4_21, all_4_18) = all_4_85
% 260.96/66.60 (10) succ(all_4_92) = all_4_46
% 260.96/66.60 (11) sum(all_4_23, all_4_19) = all_4_17
% 260.96/66.60 (12) ~ (all_4_82 = all_4_83)
% 260.96/66.60 (13) succ(all_4_89) = all_4_27
% 260.96/66.60 (14) sum(n2, n2) = n4
% 260.96/66.60 (15) pred(all_4_95) = all_4_55
% 260.96/66.60 (16) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.60 (17) sum(all_4_28, all_4_30) = all_4_24
% 260.96/66.60 (18) sum(all_4_20, all_4_19) = all_4_18
% 260.96/66.60 (19) succ(n9) = n10
% 260.96/66.60 (20) sum(all_4_9, all_4_8) = all_4_82
% 260.96/66.60 (21) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.60 (22) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.60 (23) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.60 (24) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.60 (25) sum(all_4_23, all_4_22) = all_4_21
% 260.96/66.60 (26) sum(n2, n4) = n6
% 260.96/66.60 (27) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.60 (28) sum(all_4_31, all_4_27) = all_4_25
% 260.96/66.60 (29) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.60 (30) succ(all_4_94) = all_4_54
% 260.96/66.60 (31) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.60 (32) all_4_98 = n5
% 260.96/66.60 (33) succ(all_4_86) = all_4_22
% 260.96/66.60 (34) pred(all_4_99) = all_4_71
% 260.96/66.60 (35) pred(all_4_86) = all_4_20
% 260.96/66.60 (36) succ(all_4_90) = all_4_38
% 260.96/66.60 (37) all_4_99 = n5
% 260.96/66.60 (38) pred(all_4_88) = all_4_28
% 260.96/66.60 (39) pred(all_4_85) = all_4_15
% 260.96/66.60 (40) sum(all_4_15, all_4_14) = all_4_13
% 260.96/66.60 (41) sum(all_4_31, all_4_30) = all_4_29
% 260.96/66.60 (42) sum(n8, n10) = n7
% 260.96/66.60 (43) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.60 (44) sum(n0, n2) = n2
% 260.96/66.60 (45) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.60 (46) sum(n3, n5) = n8
% 260.96/66.60 (47) sum(n10, n10) = n9
% 260.96/66.60 (48) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.60 (49) sum(all_4_12, all_4_14) = all_4_8
% 260.96/66.60 (50) pred(n5) = n4
% 260.96/66.60 (51) sum(all_4_29, all_4_26) = all_4_87
% 260.96/66.60 (52) pred(all_4_91) = all_4_39
% 260.96/66.60 (53) pred(all_4_89) = all_4_31
% 260.96/66.60 (54) pred(all_4_92) = all_4_44
% 260.96/66.60 (55) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.60 (56) pred(n4) = n3
% 260.96/66.60 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.60 | ~ (succ(v2) = v0))
% 260.96/66.60 (58) pred(all_4_97) = all_4_63
% 260.96/66.60 (59) succ(all_4_99) = all_4_67
% 260.96/66.60 (60) pred(n9) = n8
% 260.96/66.60 (61) succ(n3) = n4
% 260.96/66.60 (62) pred(all_4_96) = all_4_60
% 260.96/66.60 (63) succ(all_4_96) = all_4_62
% 260.96/66.60 (64) pred(n3) = n2
% 260.96/66.60 (65) succ(all_4_88) = all_4_30
% 260.96/66.60 (66) sum(all_4_20, all_4_22) = all_4_16
% 260.96/66.60 (67) sum(all_4_12, all_4_11) = all_4_10
% 260.96/66.60 (68) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.60 (69) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.60 (70) sum(all_4_15, all_4_11) = all_4_9
% 260.96/66.60 (71) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.60 (72) pred(all_4_93) = all_4_47
% 260.96/66.60 (73) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.60 (74) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.60 (75) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.60 (76) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.60 (77) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.60 (78) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.60 (79) pred(all_4_87) = all_4_23
% 260.96/66.60 (80) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.60 (81) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.60 (82) sum(n6, n6) = n1
% 260.96/66.60 (83) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.60 (84) sum(n8, n8) = all_4_99
% 260.96/66.60 (85) succ(n5) = n6
% 260.96/66.60 (86) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.60 (87) succ(n4) = n5
% 260.96/66.60 (88) sum(all_4_17, all_4_16) = all_4_84
% 260.96/66.60 (89) sum(all_4_13, all_4_10) = all_4_83
% 260.96/66.60 (90) succ(all_4_98) = all_4_70
% 260.96/66.60 (91) pred(all_4_90) = all_4_36
% 260.96/66.60 (92) pred(n1) = n0
% 260.96/66.60 (93) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.60 (94) succ(all_4_97) = all_4_59
% 260.96/66.60 (95) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.60 (96) pred(all_4_84) = all_4_12
% 260.96/66.60 (97) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.60 (98) sum(n7, n7) = n3
% 260.96/66.60 (99) succ(all_4_85) = all_4_11
% 260.96/66.60 (100) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.60 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.60 | ~ (pred(v2) = v0))
% 260.96/66.60 (102) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.60 (103) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.60 (104) succ(all_4_93) = all_4_43
% 260.96/66.60 (105) pred(all_4_98) = all_4_68
% 260.96/66.60 (106) pred(all_4_94) = all_4_52
% 260.96/66.60
% 260.96/66.60 Begin of proof
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (32), (105) imply:
% 260.96/66.60 | (107) pred(n5) = all_4_68
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (34), (37) imply:
% 260.96/66.60 | (108) pred(n5) = all_4_71
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (32), (90) imply:
% 260.96/66.60 | (109) succ(n5) = all_4_70
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (37), (59) imply:
% 260.96/66.60 | (110) succ(n5) = all_4_67
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (37), (84) imply:
% 260.96/66.60 | (111) sum(n8, n8) = n5
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with n6, all_4_67, n5, simplifying with (85),
% 260.96/66.60 | (110) gives:
% 260.96/66.60 | (112) all_4_67 = n6
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with all_4_70, all_4_67, n5, simplifying with
% 260.96/66.60 | (109), (110) gives:
% 260.96/66.60 | (113) all_4_67 = all_4_70
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with n4, all_4_68, n5, simplifying with (50),
% 260.96/66.60 | (107) gives:
% 260.96/66.60 | (114) all_4_68 = n4
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with all_4_71, all_4_68, n5, simplifying with
% 260.96/66.60 | (107), (108) gives:
% 260.96/66.60 | (115) all_4_68 = all_4_71
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (112), (113) imply:
% 260.96/66.60 | (116) all_4_70 = n6
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (114), (115) imply:
% 260.96/66.60 | (117) all_4_71 = n4
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (76), (112), (114) imply:
% 260.96/66.60 | (118) sum(n4, n6) = all_4_66
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (93), (114), (116) imply:
% 260.96/66.60 | (119) sum(n4, n6) = all_4_64
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (73), (112), (117) imply:
% 260.96/66.60 | (120) sum(n4, n6) = all_4_65
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (23), (116), (117) imply:
% 260.96/66.60 | (121) sum(n4, n6) = all_4_69
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n10, all_4_65, n6, n4, simplifying with
% 260.96/66.60 | (8), (120) gives:
% 260.96/66.60 | (122) all_4_65 = n10
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_66, all_4_65, n6, n4, simplifying
% 260.96/66.60 | with (118), (120) gives:
% 260.96/66.60 | (123) all_4_65 = all_4_66
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_66, all_4_64, n6, n4, simplifying
% 260.96/66.60 | with (118), (119) gives:
% 260.96/66.60 | (124) all_4_64 = all_4_66
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_69, all_4_64, n6, n4, simplifying
% 260.96/66.60 | with (119), (121) gives:
% 260.96/66.60 | (125) all_4_64 = all_4_69
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (124), (125) imply:
% 260.96/66.60 | (126) all_4_66 = all_4_69
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (126) implies:
% 260.96/66.60 | (127) all_4_66 = all_4_69
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (122), (123) imply:
% 260.96/66.60 | (128) all_4_66 = n10
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (128) implies:
% 260.96/66.60 | (129) all_4_66 = n10
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (127), (129) imply:
% 260.96/66.60 | (130) all_4_69 = n10
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (125), (130) imply:
% 260.96/66.60 | (131) all_4_64 = n10
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (55), (122), (131) imply:
% 260.96/66.60 | (132) sum(n10, n10) = all_4_96
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (86), (129), (130) imply:
% 260.96/66.60 | (133) sum(n10, n10) = all_4_97
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n9, all_4_96, n10, n10, simplifying with
% 260.96/66.60 | (47), (132) gives:
% 260.96/66.60 | (134) all_4_96 = n9
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_97, all_4_96, n10, n10, simplifying
% 260.96/66.60 | with (132), (133) gives:
% 260.96/66.60 | (135) all_4_96 = all_4_97
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (134), (135) imply:
% 260.96/66.60 | (136) all_4_97 = n9
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (136) implies:
% 260.96/66.60 | (137) all_4_97 = n9
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (62), (134) imply:
% 260.96/66.60 | (138) pred(n9) = all_4_60
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (58), (137) imply:
% 260.96/66.60 | (139) pred(n9) = all_4_63
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (63), (134) imply:
% 260.96/66.60 | (140) succ(n9) = all_4_62
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (94), (137) imply:
% 260.96/66.60 | (141) succ(n9) = all_4_59
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with n10, all_4_59, n9, simplifying with (19),
% 260.96/66.60 | (141) gives:
% 260.96/66.60 | (142) all_4_59 = n10
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with all_4_62, all_4_59, n9, simplifying with
% 260.96/66.60 | (140), (141) gives:
% 260.96/66.60 | (143) all_4_59 = all_4_62
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with n8, all_4_60, n9, simplifying with (60),
% 260.96/66.60 | (138) gives:
% 260.96/66.60 | (144) all_4_60 = n8
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with all_4_63, all_4_60, n9, simplifying with
% 260.96/66.60 | (138), (139) gives:
% 260.96/66.60 | (145) all_4_60 = all_4_63
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (142), (143) imply:
% 260.96/66.60 | (146) all_4_62 = n10
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (144), (145) imply:
% 260.96/66.60 | (147) all_4_63 = n8
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (74), (142), (144) imply:
% 260.96/66.60 | (148) sum(n8, n10) = all_4_58
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (22), (144), (146) imply:
% 260.96/66.60 | (149) sum(n8, n10) = all_4_56
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (27), (142), (147) imply:
% 260.96/66.60 | (150) sum(n8, n10) = all_4_57
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (29), (146), (147) imply:
% 260.96/66.60 | (151) sum(n8, n10) = all_4_61
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n7, all_4_57, n10, n8, simplifying with
% 260.96/66.60 | (42), (150) gives:
% 260.96/66.60 | (152) all_4_57 = n7
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_58, all_4_57, n10, n8, simplifying
% 260.96/66.60 | with (148), (150) gives:
% 260.96/66.60 | (153) all_4_57 = all_4_58
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_57, all_4_56, n10, n8, simplifying
% 260.96/66.60 | with (149), (150) gives:
% 260.96/66.60 | (154) all_4_56 = all_4_57
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_61, all_4_56, n10, n8, simplifying
% 260.96/66.60 | with (149), (151) gives:
% 260.96/66.60 | (155) all_4_56 = all_4_61
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (154), (155) imply:
% 260.96/66.60 | (156) all_4_57 = all_4_61
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (156) implies:
% 260.96/66.60 | (157) all_4_57 = all_4_61
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (152), (153) imply:
% 260.96/66.60 | (158) all_4_58 = n7
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (153), (157) imply:
% 260.96/66.60 | (159) all_4_58 = all_4_61
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (158), (159) imply:
% 260.96/66.60 | (160) all_4_61 = n7
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (155), (160) imply:
% 260.96/66.60 | (161) all_4_56 = n7
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (43), (152), (161) imply:
% 260.96/66.60 | (162) sum(n7, n7) = all_4_94
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (97), (158), (160) imply:
% 260.96/66.60 | (163) sum(n7, n7) = all_4_95
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n3, all_4_94, n7, n7, simplifying with
% 260.96/66.60 | (98), (162) gives:
% 260.96/66.60 | (164) all_4_94 = n3
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_95, all_4_94, n7, n7, simplifying
% 260.96/66.60 | with (162), (163) gives:
% 260.96/66.60 | (165) all_4_94 = all_4_95
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (164), (165) imply:
% 260.96/66.60 | (166) all_4_95 = n3
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (106), (164) imply:
% 260.96/66.60 | (167) pred(n3) = all_4_52
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (15), (166) imply:
% 260.96/66.60 | (168) pred(n3) = all_4_55
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (30), (164) imply:
% 260.96/66.60 | (169) succ(n3) = all_4_54
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (3), (166) imply:
% 260.96/66.60 | (170) succ(n3) = all_4_51
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with n4, all_4_51, n3, simplifying with (61),
% 260.96/66.60 | (170) gives:
% 260.96/66.60 | (171) all_4_51 = n4
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with all_4_54, all_4_51, n3, simplifying with
% 260.96/66.60 | (169), (170) gives:
% 260.96/66.60 | (172) all_4_51 = all_4_54
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with n2, all_4_52, n3, simplifying with (64),
% 260.96/66.60 | (167) gives:
% 260.96/66.60 | (173) all_4_52 = n2
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with all_4_55, all_4_52, n3, simplifying with
% 260.96/66.60 | (167), (168) gives:
% 260.96/66.60 | (174) all_4_52 = all_4_55
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (171), (172) imply:
% 260.96/66.60 | (175) all_4_54 = n4
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (173), (174) imply:
% 260.96/66.60 | (176) all_4_55 = n2
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (176) implies:
% 260.96/66.60 | (177) all_4_55 = n2
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (102), (171), (173) imply:
% 260.96/66.60 | (178) sum(n2, n4) = all_4_50
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (21), (173), (175) imply:
% 260.96/66.60 | (179) sum(n2, n4) = all_4_48
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (68), (171), (177) imply:
% 260.96/66.60 | (180) sum(n2, n4) = all_4_49
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (24), (175), (177) imply:
% 260.96/66.60 | (181) sum(n2, n4) = all_4_53
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n6, all_4_49, n4, n2, simplifying with
% 260.96/66.60 | (26), (180) gives:
% 260.96/66.60 | (182) all_4_49 = n6
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_50, all_4_49, n4, n2, simplifying
% 260.96/66.60 | with (178), (180) gives:
% 260.96/66.60 | (183) all_4_49 = all_4_50
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_49, all_4_48, n4, n2, simplifying
% 260.96/66.60 | with (179), (180) gives:
% 260.96/66.60 | (184) all_4_48 = all_4_49
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_53, all_4_48, n4, n2, simplifying
% 260.96/66.60 | with (179), (181) gives:
% 260.96/66.60 | (185) all_4_48 = all_4_53
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.60 | (186) all_4_49 = all_4_53
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (186) implies:
% 260.96/66.60 | (187) all_4_49 = all_4_53
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (182), (183) imply:
% 260.96/66.60 | (188) all_4_50 = n6
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (183), (187) imply:
% 260.96/66.60 | (189) all_4_50 = all_4_53
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (188), (189) imply:
% 260.96/66.60 | (190) all_4_53 = n6
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (185), (190) imply:
% 260.96/66.60 | (191) all_4_48 = n6
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (100), (182), (191) imply:
% 260.96/66.60 | (192) sum(n6, n6) = all_4_92
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (103), (188), (190) imply:
% 260.96/66.60 | (193) sum(n6, n6) = all_4_93
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n1, all_4_92, n6, n6, simplifying with
% 260.96/66.60 | (82), (192) gives:
% 260.96/66.60 | (194) all_4_92 = n1
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_93, all_4_92, n6, n6, simplifying
% 260.96/66.60 | with (192), (193) gives:
% 260.96/66.60 | (195) all_4_92 = all_4_93
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (194), (195) imply:
% 260.96/66.60 | (196) all_4_93 = n1
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (196) implies:
% 260.96/66.60 | (197) all_4_93 = n1
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (54), (194) imply:
% 260.96/66.60 | (198) pred(n1) = all_4_44
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (72), (197) imply:
% 260.96/66.60 | (199) pred(n1) = all_4_47
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (10), (194) imply:
% 260.96/66.60 | (200) succ(n1) = all_4_46
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (104), (197) imply:
% 260.96/66.60 | (201) succ(n1) = all_4_43
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with n2, all_4_43, n1, simplifying with (6),
% 260.96/66.60 | (201) gives:
% 260.96/66.60 | (202) all_4_43 = n2
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with all_4_46, all_4_43, n1, simplifying with
% 260.96/66.60 | (200), (201) gives:
% 260.96/66.60 | (203) all_4_43 = all_4_46
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with n0, all_4_44, n1, simplifying with (92),
% 260.96/66.60 | (198) gives:
% 260.96/66.60 | (204) all_4_44 = n0
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with all_4_47, all_4_44, n1, simplifying with
% 260.96/66.60 | (198), (199) gives:
% 260.96/66.60 | (205) all_4_44 = all_4_47
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (202), (203) imply:
% 260.96/66.60 | (206) all_4_46 = n2
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (204), (205) imply:
% 260.96/66.60 | (207) all_4_47 = n0
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (83), (202), (204) imply:
% 260.96/66.60 | (208) sum(n0, n2) = all_4_42
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (16), (204), (206) imply:
% 260.96/66.60 | (209) sum(n0, n2) = all_4_40
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (48), (202), (207) imply:
% 260.96/66.60 | (210) sum(n0, n2) = all_4_41
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (71), (206), (207) imply:
% 260.96/66.60 | (211) sum(n0, n2) = all_4_45
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n2, all_4_41, n2, n0, simplifying with
% 260.96/66.60 | (44), (210) gives:
% 260.96/66.60 | (212) all_4_41 = n2
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_42, all_4_41, n2, n0, simplifying
% 260.96/66.60 | with (208), (210) gives:
% 260.96/66.60 | (213) all_4_41 = all_4_42
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_41, all_4_40, n2, n0, simplifying
% 260.96/66.60 | with (209), (210) gives:
% 260.96/66.60 | (214) all_4_40 = all_4_41
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_45, all_4_40, n2, n0, simplifying
% 260.96/66.60 | with (209), (211) gives:
% 260.96/66.60 | (215) all_4_40 = all_4_45
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (214), (215) imply:
% 260.96/66.60 | (216) all_4_41 = all_4_45
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (216) implies:
% 260.96/66.60 | (217) all_4_41 = all_4_45
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (212), (213) imply:
% 260.96/66.60 | (218) all_4_42 = n2
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (213), (217) imply:
% 260.96/66.60 | (219) all_4_42 = all_4_45
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (218), (219) imply:
% 260.96/66.60 | (220) all_4_45 = n2
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (220) implies:
% 260.96/66.60 | (221) all_4_45 = n2
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (215), (221) imply:
% 260.96/66.60 | (222) all_4_40 = n2
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (75), (212), (222) imply:
% 260.96/66.60 | (223) sum(n2, n2) = all_4_90
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (80), (218), (221) imply:
% 260.96/66.60 | (224) sum(n2, n2) = all_4_91
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n4, all_4_90, n2, n2, simplifying with
% 260.96/66.60 | (14), (223) gives:
% 260.96/66.60 | (225) all_4_90 = n4
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_91, all_4_90, n2, n2, simplifying
% 260.96/66.60 | with (223), (224) gives:
% 260.96/66.60 | (226) all_4_90 = all_4_91
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (225), (226) imply:
% 260.96/66.60 | (227) all_4_91 = n4
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (227) implies:
% 260.96/66.60 | (228) all_4_91 = n4
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (91), (225) imply:
% 260.96/66.60 | (229) pred(n4) = all_4_36
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (52), (228) imply:
% 260.96/66.60 | (230) pred(n4) = all_4_39
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (36), (225) imply:
% 260.96/66.60 | (231) succ(n4) = all_4_38
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (7), (228) imply:
% 260.96/66.60 | (232) succ(n4) = all_4_35
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with n5, all_4_35, n4, simplifying with (87),
% 260.96/66.60 | (232) gives:
% 260.96/66.60 | (233) all_4_35 = n5
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (57) with all_4_38, all_4_35, n4, simplifying with
% 260.96/66.60 | (231), (232) gives:
% 260.96/66.60 | (234) all_4_35 = all_4_38
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with n3, all_4_36, n4, simplifying with (56),
% 260.96/66.60 | (229) gives:
% 260.96/66.60 | (235) all_4_36 = n3
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (101) with all_4_39, all_4_36, n4, simplifying with
% 260.96/66.60 | (229), (230) gives:
% 260.96/66.60 | (236) all_4_36 = all_4_39
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (233), (234) imply:
% 260.96/66.60 | (237) all_4_38 = n5
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (235), (236) imply:
% 260.96/66.60 | (238) all_4_39 = n3
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (69), (233), (235) imply:
% 260.96/66.60 | (239) sum(n3, n5) = all_4_34
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (95), (235), (237) imply:
% 260.96/66.60 | (240) sum(n3, n5) = all_4_32
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (77), (233), (238) imply:
% 260.96/66.60 | (241) sum(n3, n5) = all_4_33
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (81), (237), (238) imply:
% 260.96/66.60 | (242) sum(n3, n5) = all_4_37
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with n8, all_4_33, n5, n3, simplifying with
% 260.96/66.60 | (46), (241) gives:
% 260.96/66.60 | (243) all_4_33 = n8
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_34, all_4_33, n5, n3, simplifying
% 260.96/66.60 | with (239), (241) gives:
% 260.96/66.60 | (244) all_4_33 = all_4_34
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_33, all_4_32, n5, n3, simplifying
% 260.96/66.60 | with (240), (241) gives:
% 260.96/66.60 | (245) all_4_32 = all_4_33
% 260.96/66.60 |
% 260.96/66.60 | GROUND_INST: instantiating (78) with all_4_37, all_4_32, n5, n3, simplifying
% 260.96/66.60 | with (240), (242) gives:
% 260.96/66.60 | (246) all_4_32 = all_4_37
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (245), (246) imply:
% 260.96/66.60 | (247) all_4_33 = all_4_37
% 260.96/66.60 |
% 260.96/66.60 | SIMP: (247) implies:
% 260.96/66.60 | (248) all_4_33 = all_4_37
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (243), (244) imply:
% 260.96/66.60 | (249) all_4_34 = n8
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (244), (248) imply:
% 260.96/66.60 | (250) all_4_34 = all_4_37
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (249), (250) imply:
% 260.96/66.60 | (251) all_4_37 = n8
% 260.96/66.60 |
% 260.96/66.60 | COMBINE_EQS: (246), (251) imply:
% 260.96/66.60 | (252) all_4_32 = n8
% 260.96/66.60 |
% 260.96/66.60 | REDUCE: (45), (243), (252) imply:
% 260.96/66.60 | (253) sum(n8, n8) = all_4_88
% 260.96/66.60 |
% 260.96/66.61 | REDUCE: (31), (249), (251) imply:
% 260.96/66.61 | (254) sum(n8, n8) = all_4_89
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with n5, all_4_88, n8, n8, simplifying with
% 260.96/66.61 | (111), (253) gives:
% 260.96/66.61 | (255) all_4_88 = n5
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_89, all_4_88, n8, n8, simplifying
% 260.96/66.61 | with (253), (254) gives:
% 260.96/66.61 | (256) all_4_88 = all_4_89
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (255), (256) imply:
% 260.96/66.61 | (257) all_4_89 = n5
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (38), (255) imply:
% 260.96/66.61 | (258) pred(n5) = all_4_28
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (53), (257) imply:
% 260.96/66.61 | (259) pred(n5) = all_4_31
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (65), (255) imply:
% 260.96/66.61 | (260) succ(n5) = all_4_30
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (13), (257) imply:
% 260.96/66.61 | (261) succ(n5) = all_4_27
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (57) with n6, all_4_27, n5, simplifying with (85),
% 260.96/66.61 | (261) gives:
% 260.96/66.61 | (262) all_4_27 = n6
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (57) with all_4_30, all_4_27, n5, simplifying with
% 260.96/66.61 | (260), (261) gives:
% 260.96/66.61 | (263) all_4_27 = all_4_30
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (101) with n4, all_4_28, n5, simplifying with (50),
% 260.96/66.61 | (258) gives:
% 260.96/66.61 | (264) all_4_28 = n4
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (101) with all_4_31, all_4_28, n5, simplifying with
% 260.96/66.61 | (258), (259) gives:
% 260.96/66.61 | (265) all_4_28 = all_4_31
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (262), (263) imply:
% 260.96/66.61 | (266) all_4_30 = n6
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (264), (265) imply:
% 260.96/66.61 | (267) all_4_31 = n4
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (1), (262), (264) imply:
% 260.96/66.61 | (268) sum(n4, n6) = all_4_26
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (17), (264), (266) imply:
% 260.96/66.61 | (269) sum(n4, n6) = all_4_24
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (28), (262), (267) imply:
% 260.96/66.61 | (270) sum(n4, n6) = all_4_25
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (41), (266), (267) imply:
% 260.96/66.61 | (271) sum(n4, n6) = all_4_29
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with n10, all_4_25, n6, n4, simplifying with
% 260.96/66.61 | (8), (270) gives:
% 260.96/66.61 | (272) all_4_25 = n10
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_26, all_4_25, n6, n4, simplifying
% 260.96/66.61 | with (268), (270) gives:
% 260.96/66.61 | (273) all_4_25 = all_4_26
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_25, all_4_24, n6, n4, simplifying
% 260.96/66.61 | with (269), (270) gives:
% 260.96/66.61 | (274) all_4_24 = all_4_25
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_29, all_4_24, n6, n4, simplifying
% 260.96/66.61 | with (269), (271) gives:
% 260.96/66.61 | (275) all_4_24 = all_4_29
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (274), (275) imply:
% 260.96/66.61 | (276) all_4_25 = all_4_29
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (276) implies:
% 260.96/66.61 | (277) all_4_25 = all_4_29
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (272), (273) imply:
% 260.96/66.61 | (278) all_4_26 = n10
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (273), (277) imply:
% 260.96/66.61 | (279) all_4_26 = all_4_29
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (278), (279) imply:
% 260.96/66.61 | (280) all_4_29 = n10
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (275), (280) imply:
% 260.96/66.61 | (281) all_4_24 = n10
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (5), (272), (281) imply:
% 260.96/66.61 | (282) sum(n10, n10) = all_4_86
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (51), (278), (280) imply:
% 260.96/66.61 | (283) sum(n10, n10) = all_4_87
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with n9, all_4_86, n10, n10, simplifying with
% 260.96/66.61 | (47), (282) gives:
% 260.96/66.61 | (284) all_4_86 = n9
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_87, all_4_86, n10, n10, simplifying
% 260.96/66.61 | with (282), (283) gives:
% 260.96/66.61 | (285) all_4_86 = all_4_87
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (284), (285) imply:
% 260.96/66.61 | (286) all_4_87 = n9
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (286) implies:
% 260.96/66.61 | (287) all_4_87 = n9
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (35), (284) imply:
% 260.96/66.61 | (288) pred(n9) = all_4_20
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (79), (287) imply:
% 260.96/66.61 | (289) pred(n9) = all_4_23
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (33), (284) imply:
% 260.96/66.61 | (290) succ(n9) = all_4_22
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (4), (287) imply:
% 260.96/66.61 | (291) succ(n9) = all_4_19
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (57) with n10, all_4_19, n9, simplifying with (19),
% 260.96/66.61 | (291) gives:
% 260.96/66.61 | (292) all_4_19 = n10
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (57) with all_4_22, all_4_19, n9, simplifying with
% 260.96/66.61 | (290), (291) gives:
% 260.96/66.61 | (293) all_4_19 = all_4_22
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (101) with n8, all_4_20, n9, simplifying with (60),
% 260.96/66.61 | (288) gives:
% 260.96/66.61 | (294) all_4_20 = n8
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (101) with all_4_23, all_4_20, n9, simplifying with
% 260.96/66.61 | (288), (289) gives:
% 260.96/66.61 | (295) all_4_20 = all_4_23
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (292), (293) imply:
% 260.96/66.61 | (296) all_4_22 = n10
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (294), (295) imply:
% 260.96/66.61 | (297) all_4_23 = n8
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (18), (292), (294) imply:
% 260.96/66.61 | (298) sum(n8, n10) = all_4_18
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (66), (294), (296) imply:
% 260.96/66.61 | (299) sum(n8, n10) = all_4_16
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (11), (292), (297) imply:
% 260.96/66.61 | (300) sum(n8, n10) = all_4_17
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (25), (296), (297) imply:
% 260.96/66.61 | (301) sum(n8, n10) = all_4_21
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with n7, all_4_17, n10, n8, simplifying with
% 260.96/66.61 | (42), (300) gives:
% 260.96/66.61 | (302) all_4_17 = n7
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_18, all_4_17, n10, n8, simplifying
% 260.96/66.61 | with (298), (300) gives:
% 260.96/66.61 | (303) all_4_17 = all_4_18
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_17, all_4_16, n10, n8, simplifying
% 260.96/66.61 | with (299), (300) gives:
% 260.96/66.61 | (304) all_4_16 = all_4_17
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_21, all_4_16, n10, n8, simplifying
% 260.96/66.61 | with (299), (301) gives:
% 260.96/66.61 | (305) all_4_16 = all_4_21
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (304), (305) imply:
% 260.96/66.61 | (306) all_4_17 = all_4_21
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (306) implies:
% 260.96/66.61 | (307) all_4_17 = all_4_21
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (302), (303) imply:
% 260.96/66.61 | (308) all_4_18 = n7
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (303), (307) imply:
% 260.96/66.61 | (309) all_4_18 = all_4_21
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (308), (309) imply:
% 260.96/66.61 | (310) all_4_21 = n7
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (305), (310) imply:
% 260.96/66.61 | (311) all_4_16 = n7
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (88), (302), (311) imply:
% 260.96/66.61 | (312) sum(n7, n7) = all_4_84
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (9), (308), (310) imply:
% 260.96/66.61 | (313) sum(n7, n7) = all_4_85
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with n3, all_4_84, n7, n7, simplifying with
% 260.96/66.61 | (98), (312) gives:
% 260.96/66.61 | (314) all_4_84 = n3
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (78) with all_4_85, all_4_84, n7, n7, simplifying
% 260.96/66.61 | with (312), (313) gives:
% 260.96/66.61 | (315) all_4_84 = all_4_85
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (314), (315) imply:
% 260.96/66.61 | (316) all_4_85 = n3
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (316) implies:
% 260.96/66.61 | (317) all_4_85 = n3
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (96), (314) imply:
% 260.96/66.61 | (318) pred(n3) = all_4_12
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (39), (317) imply:
% 260.96/66.61 | (319) pred(n3) = all_4_15
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (2), (314) imply:
% 260.96/66.61 | (320) succ(n3) = all_4_14
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (99), (317) imply:
% 260.96/66.61 | (321) succ(n3) = all_4_11
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (57) with n4, all_4_11, n3, simplifying with (61),
% 260.96/66.61 | (321) gives:
% 260.96/66.61 | (322) all_4_11 = n4
% 260.96/66.61 |
% 260.96/66.61 | REF_CLOSE: (12), (20), (26), (40), (49), (57), (64), (67), (70), (78), (82),
% 260.96/66.61 | (89), (101), (318), (319), (320), (321), (322) are inconsistent by
% 260.96/66.61 | sub-proof #191.
% 260.96/66.61 |
% 260.96/66.61 End of proof
% 260.96/66.61
% 260.96/66.61 Sub-proof #72 shows that the following formulas are inconsistent:
% 260.96/66.61 ----------------------------------------------------------------
% 260.96/66.61 (1) sum(n3, n3) = n6
% 260.96/66.61 (2) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.61 (3) sum(n9, n9) = all_4_99
% 260.96/66.61 (4) pred(all_4_99) = all_4_71
% 260.96/66.61 (5) all_4_98 = n7
% 260.96/66.61 (6) sum(n6, n8) = n3
% 260.96/66.61 (7) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.61 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.96/66.61 ~ (succ(v2) = v0))
% 260.96/66.61 (9) succ(all_4_99) = all_4_67
% 260.96/66.61 (10) pred(n7) = n6
% 260.96/66.61 (11) succ(n7) = n8
% 260.96/66.61 (12) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.61 (13) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.61 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.61 (15) sum(n9, n9) = n7
% 260.96/66.61 (16) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.61 (17) succ(all_4_98) = all_4_70
% 260.96/66.61 (18) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.61 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.61 | ~ (pred(v2) = v0))
% 260.96/66.61 (20) pred(all_4_98) = all_4_68
% 260.96/66.61 (21) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.61
% 260.96/66.61 Begin of proof
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with n7, all_4_99, n9, n9, simplifying with
% 260.96/66.61 | (3), (15) gives:
% 260.96/66.61 | (22) all_4_99 = n7
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (5), (20) imply:
% 260.96/66.61 | (23) pred(n7) = all_4_68
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (4), (22) imply:
% 260.96/66.61 | (24) pred(n7) = all_4_71
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (5), (17) imply:
% 260.96/66.61 | (25) succ(n7) = all_4_70
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (9), (22) imply:
% 260.96/66.61 | (26) succ(n7) = all_4_67
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (8) with n8, all_4_67, n7, simplifying with (11),
% 260.96/66.61 | (26) gives:
% 260.96/66.61 | (27) all_4_67 = n8
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (8) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.61 | (25), (26) gives:
% 260.96/66.61 | (28) all_4_67 = all_4_70
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (19) with n6, all_4_68, n7, simplifying with (10),
% 260.96/66.61 | (23) gives:
% 260.96/66.61 | (29) all_4_68 = n6
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (19) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.61 | (23), (24) gives:
% 260.96/66.61 | (30) all_4_68 = all_4_71
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (27), (28) imply:
% 260.96/66.61 | (31) all_4_70 = n8
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (29), (30) imply:
% 260.96/66.61 | (32) all_4_71 = n6
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (13), (27), (29) imply:
% 260.96/66.61 | (33) sum(n6, n8) = all_4_66
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (18), (29), (31) imply:
% 260.96/66.61 | (34) sum(n6, n8) = all_4_64
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (12), (27), (32) imply:
% 260.96/66.61 | (35) sum(n6, n8) = all_4_65
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (2), (31), (32) imply:
% 260.96/66.61 | (36) sum(n6, n8) = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.61 | (6), (35) gives:
% 260.96/66.61 | (37) all_4_65 = n3
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.61 | with (33), (35) gives:
% 260.96/66.61 | (38) all_4_65 = all_4_66
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.61 | with (33), (34) gives:
% 260.96/66.61 | (39) all_4_64 = all_4_66
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.61 | with (34), (36) gives:
% 260.96/66.61 | (40) all_4_64 = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (39), (40) imply:
% 260.96/66.61 | (41) all_4_66 = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (41) implies:
% 260.96/66.61 | (42) all_4_66 = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (37), (38) imply:
% 260.96/66.61 | (43) all_4_66 = n3
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (43) implies:
% 260.96/66.61 | (44) all_4_66 = n3
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (42), (44) imply:
% 260.96/66.61 | (45) all_4_69 = n3
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (40), (45) imply:
% 260.96/66.61 | (46) all_4_64 = n3
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (7), (37), (46) imply:
% 260.96/66.61 | (47) sum(n3, n3) = all_4_96
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (16), (44), (45) imply:
% 260.96/66.61 | (48) sum(n3, n3) = all_4_97
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with n6, all_4_97, n3, n3, simplifying with
% 260.96/66.61 | (1), (48) gives:
% 260.96/66.61 | (49) all_4_97 = n6
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.61 | (1), (47) gives:
% 260.96/66.61 | (50) all_4_96 = n6
% 260.96/66.61 |
% 260.96/66.61 | REF_CLOSE: (5), (21), (22), (49), (50) are inconsistent by sub-proof #198.
% 260.96/66.61 |
% 260.96/66.61 End of proof
% 260.96/66.61
% 260.96/66.61 Sub-proof #73 shows that the following formulas are inconsistent:
% 260.96/66.61 ----------------------------------------------------------------
% 260.96/66.61 (1) pred(n2) = all_4_68
% 260.96/66.61 (2) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.61 (3) succ(n2) = all_4_70
% 260.96/66.61 (4) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.61 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.96/66.61 ~ (succ(v2) = v0))
% 260.96/66.61 (6) all_4_98 = n2
% 260.96/66.61 (7) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.61 (8) succ(n2) = n3
% 260.96/66.61 (9) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.61 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.61 (11) pred(n2) = all_4_71
% 260.96/66.61 (12) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.61 (13) succ(n2) = all_4_67
% 260.96/66.61 (14) all_4_99 = n2
% 260.96/66.61 (15) pred(n2) = n1
% 260.96/66.61 (16) sum(n4, n4) = n8
% 260.96/66.61 (17) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.61 (18) sum(n1, n3) = n4
% 260.96/66.61 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.61 | ~ (pred(v2) = v0))
% 260.96/66.61 (20) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.61
% 260.96/66.61 Begin of proof
% 260.96/66.61 |
% 260.96/66.61 | BETA: splitting (20) gives:
% 260.96/66.61 |
% 260.96/66.61 | Case 1:
% 260.96/66.61 | |
% 260.96/66.61 | | (21) ~ (all_4_96 = all_4_97)
% 260.96/66.61 | |
% 260.96/66.61 | | GROUND_INST: instantiating (5) with n3, all_4_67, n2, simplifying with (8),
% 260.96/66.61 | | (13) gives:
% 260.96/66.61 | | (22) all_4_67 = n3
% 260.96/66.61 | |
% 260.96/66.61 | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (15),
% 260.96/66.61 | | (16), (17), (18), (19), (21), (22) are inconsistent by sub-proof
% 260.96/66.61 | | #96.
% 260.96/66.61 | |
% 260.96/66.61 | Case 2:
% 260.96/66.61 | |
% 260.96/66.61 | | (23) ~ (all_4_98 = all_4_99)
% 260.96/66.61 | |
% 260.96/66.61 | | REDUCE: (6), (14), (23) imply:
% 260.96/66.61 | | (24) $false
% 260.96/66.61 | |
% 260.96/66.61 | | CLOSE: (24) is inconsistent.
% 260.96/66.61 | |
% 260.96/66.61 | End of split
% 260.96/66.61 |
% 260.96/66.61 End of proof
% 260.96/66.61
% 260.96/66.61 Sub-proof #74 shows that the following formulas are inconsistent:
% 260.96/66.61 ----------------------------------------------------------------
% 260.96/66.61 (1) sum(n3, n3) = n6
% 260.96/66.61 (2) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.61 (3) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.61 (4) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.61 (5) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.61 (6) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.96/66.61 all_4_99)
% 260.96/66.61 (7) sum(n9, n9) = all_4_99
% 260.96/66.61 (8) pred(all_4_99) = all_4_71
% 260.96/66.61 (9) all_4_98 = n7
% 260.96/66.61 (10) sum(n6, n8) = n3
% 260.96/66.61 (11) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.61 (12) sum(n5, n7) = n1
% 260.96/66.61 (13) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.61 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.61 | ~ (succ(v2) = v0))
% 260.96/66.61 (15) pred(all_4_97) = all_4_63
% 260.96/66.61 (16) succ(all_4_99) = all_4_67
% 260.96/66.61 (17) pred(n6) = n5
% 260.96/66.61 (18) pred(all_4_96) = all_4_60
% 260.96/66.61 (19) succ(all_4_96) = all_4_62
% 260.96/66.61 (20) pred(n7) = n6
% 260.96/66.61 (21) succ(n7) = n8
% 260.96/66.61 (22) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.61 (23) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.61 (24) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.61 (25) succ(n6) = n7
% 260.96/66.61 (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.61 (27) sum(n9, n9) = n7
% 260.96/66.61 (28) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.61 (29) succ(all_4_98) = all_4_70
% 260.96/66.61 (30) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.61 (31) succ(all_4_97) = all_4_59
% 260.96/66.61 (32) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.61 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.61 | ~ (pred(v2) = v0))
% 260.96/66.61 (34) sum(n1, n1) = n2
% 260.96/66.61 (35) pred(all_4_98) = all_4_68
% 260.96/66.61
% 260.96/66.61 Begin of proof
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with n7, all_4_99, n9, n9, simplifying with
% 260.96/66.61 | (7), (27) gives:
% 260.96/66.61 | (36) all_4_99 = n7
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (9), (35) imply:
% 260.96/66.61 | (37) pred(n7) = all_4_68
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (8), (36) imply:
% 260.96/66.61 | (38) pred(n7) = all_4_71
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (9), (29) imply:
% 260.96/66.61 | (39) succ(n7) = all_4_70
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (16), (36) imply:
% 260.96/66.61 | (40) succ(n7) = all_4_67
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with n8, all_4_67, n7, simplifying with (21),
% 260.96/66.61 | (40) gives:
% 260.96/66.61 | (41) all_4_67 = n8
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.61 | (39), (40) gives:
% 260.96/66.61 | (42) all_4_67 = all_4_70
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (33) with n6, all_4_68, n7, simplifying with (20),
% 260.96/66.61 | (37) gives:
% 260.96/66.61 | (43) all_4_68 = n6
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (33) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.61 | (37), (38) gives:
% 260.96/66.61 | (44) all_4_68 = all_4_71
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (41), (42) imply:
% 260.96/66.61 | (45) all_4_70 = n8
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (43), (44) imply:
% 260.96/66.61 | (46) all_4_71 = n6
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (24), (41), (43) imply:
% 260.96/66.61 | (47) sum(n6, n8) = all_4_66
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (30), (43), (45) imply:
% 260.96/66.61 | (48) sum(n6, n8) = all_4_64
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (22), (41), (46) imply:
% 260.96/66.61 | (49) sum(n6, n8) = all_4_65
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (3), (45), (46) imply:
% 260.96/66.61 | (50) sum(n6, n8) = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.61 | (10), (49) gives:
% 260.96/66.61 | (51) all_4_65 = n3
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.61 | with (47), (49) gives:
% 260.96/66.61 | (52) all_4_65 = all_4_66
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.61 | with (47), (48) gives:
% 260.96/66.61 | (53) all_4_64 = all_4_66
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.61 | with (48), (50) gives:
% 260.96/66.61 | (54) all_4_64 = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (53), (54) imply:
% 260.96/66.61 | (55) all_4_66 = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (55) implies:
% 260.96/66.61 | (56) all_4_66 = all_4_69
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (51), (52) imply:
% 260.96/66.61 | (57) all_4_66 = n3
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (57) implies:
% 260.96/66.61 | (58) all_4_66 = n3
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (56), (58) imply:
% 260.96/66.61 | (59) all_4_69 = n3
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (54), (59) imply:
% 260.96/66.61 | (60) all_4_64 = n3
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (13), (51), (60) imply:
% 260.96/66.61 | (61) sum(n3, n3) = all_4_96
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (28), (58), (59) imply:
% 260.96/66.61 | (62) sum(n3, n3) = all_4_97
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.61 | (1), (61) gives:
% 260.96/66.61 | (63) all_4_96 = n6
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.61 | with (61), (62) gives:
% 260.96/66.61 | (64) all_4_96 = all_4_97
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (63), (64) imply:
% 260.96/66.61 | (65) all_4_97 = n6
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (65) implies:
% 260.96/66.61 | (66) all_4_97 = n6
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (18), (63) imply:
% 260.96/66.61 | (67) pred(n6) = all_4_60
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (15), (66) imply:
% 260.96/66.61 | (68) pred(n6) = all_4_63
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (19), (63) imply:
% 260.96/66.61 | (69) succ(n6) = all_4_62
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (31), (66) imply:
% 260.96/66.61 | (70) succ(n6) = all_4_59
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with n7, all_4_59, n6, simplifying with (25),
% 260.96/66.61 | (70) gives:
% 260.96/66.61 | (71) all_4_59 = n7
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (14) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.61 | (69), (70) gives:
% 260.96/66.61 | (72) all_4_59 = all_4_62
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (33) with n5, all_4_60, n6, simplifying with (17),
% 260.96/66.61 | (67) gives:
% 260.96/66.61 | (73) all_4_60 = n5
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (33) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.61 | (67), (68) gives:
% 260.96/66.61 | (74) all_4_60 = all_4_63
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (71), (72) imply:
% 260.96/66.61 | (75) all_4_62 = n7
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (73), (74) imply:
% 260.96/66.61 | (76) all_4_63 = n5
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (23), (71), (73) imply:
% 260.96/66.61 | (77) sum(n5, n7) = all_4_58
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (2), (73), (75) imply:
% 260.96/66.61 | (78) sum(n5, n7) = all_4_56
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (4), (71), (76) imply:
% 260.96/66.61 | (79) sum(n5, n7) = all_4_57
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (5), (75), (76) imply:
% 260.96/66.61 | (80) sum(n5, n7) = all_4_61
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.61 | (12), (79) gives:
% 260.96/66.61 | (81) all_4_57 = n1
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.61 | with (77), (79) gives:
% 260.96/66.61 | (82) all_4_57 = all_4_58
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.61 | with (78), (79) gives:
% 260.96/66.61 | (83) all_4_56 = all_4_57
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.61 | with (78), (80) gives:
% 260.96/66.61 | (84) all_4_56 = all_4_61
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (83), (84) imply:
% 260.96/66.61 | (85) all_4_57 = all_4_61
% 260.96/66.61 |
% 260.96/66.61 | SIMP: (85) implies:
% 260.96/66.61 | (86) all_4_57 = all_4_61
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (81), (82) imply:
% 260.96/66.61 | (87) all_4_58 = n1
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (82), (86) imply:
% 260.96/66.61 | (88) all_4_58 = all_4_61
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (87), (88) imply:
% 260.96/66.61 | (89) all_4_61 = n1
% 260.96/66.61 |
% 260.96/66.61 | COMBINE_EQS: (84), (89) imply:
% 260.96/66.61 | (90) all_4_56 = n1
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (11), (81), (90) imply:
% 260.96/66.61 | (91) sum(n1, n1) = all_4_94
% 260.96/66.61 |
% 260.96/66.61 | REDUCE: (32), (87), (89) imply:
% 260.96/66.61 | (92) sum(n1, n1) = all_4_95
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with n2, all_4_95, n1, n1, simplifying with
% 260.96/66.61 | (34), (92) gives:
% 260.96/66.61 | (93) all_4_95 = n2
% 260.96/66.61 |
% 260.96/66.61 | GROUND_INST: instantiating (26) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.61 | (34), (91) gives:
% 260.96/66.61 | (94) all_4_94 = n2
% 260.96/66.61 |
% 260.96/66.61 | REF_CLOSE: (6), (9), (36), (63), (66), (93), (94) are inconsistent by
% 260.96/66.61 | sub-proof #197.
% 260.96/66.61 |
% 260.96/66.61 End of proof
% 260.96/66.61
% 260.96/66.61 Sub-proof #75 shows that the following formulas are inconsistent:
% 260.96/66.61 ----------------------------------------------------------------
% 260.96/66.61 (1) sum(n4, n6) = n10
% 260.96/66.61 (2) succ(n5) = all_4_59
% 260.96/66.61 (3) pred(n5) = all_4_63
% 260.96/66.61 (4) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.61 (5) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.61 (6) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.61 (7) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.61 (8) sum(n8, n8) = n5
% 260.96/66.61 (9) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.96/66.61 all_4_99)
% 260.96/66.61 (10) succ(n4) = all_4_67
% 260.96/66.61 (11) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.61 (12) sum(n3, n5) = n8
% 260.96/66.61 (13) sum(n10, n10) = n9
% 260.96/66.61 (14) pred(n5) = n4
% 260.96/66.61 (15) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.61 (16) pred(n5) = all_4_60
% 260.96/66.61 (17) pred(n4) = n3
% 260.96/66.61 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.61 | ~ (succ(v2) = v0))
% 260.96/66.61 (19) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.61 (20) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.61 (21) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.61 (22) all_4_99 = n4
% 260.96/66.61 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.61 (24) succ(n5) = n6
% 260.96/66.61 (25) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.61 (26) pred(n4) = all_4_68
% 260.96/66.61 (27) succ(n4) = n5
% 260.96/66.61 (28) succ(n5) = all_4_62
% 260.96/66.61 (29) pred(n4) = all_4_71
% 260.96/66.61 (30) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.61 (31) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.61 (32) all_4_98 = n4
% 260.96/66.61 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.61 | ~ (pred(v2) = v0))
% 260.96/66.61 (34) succ(n4) = all_4_70
% 260.96/66.61
% 260.96/66.61 Begin of proof
% 260.96/66.61 |
% 260.96/66.61 | BETA: splitting (9) gives:
% 260.96/66.61 |
% 260.96/66.61 | Case 1:
% 260.96/66.61 | |
% 260.96/66.61 | | (35) ~ (all_4_94 = all_4_95)
% 260.96/66.61 | |
% 260.96/66.61 | | GROUND_INST: instantiating (18) with n6, all_4_59, n5, simplifying with (2),
% 260.96/66.61 | | (24) gives:
% 260.96/66.61 | | (36) all_4_59 = n6
% 260.96/66.61 | |
% 260.96/66.61 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (11), (13), (14), (16), (18), (20),
% 260.96/66.61 | | (23), (28), (31), (33), (35), (36) are inconsistent by sub-proof
% 260.96/66.61 | | #103.
% 260.96/66.61 | |
% 260.96/66.61 | Case 2:
% 260.96/66.61 | |
% 260.96/66.61 | | (37) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.61 | |
% 260.96/66.61 | | REF_CLOSE: (5), (8), (10), (12), (15), (17), (18), (19), (21), (22), (23),
% 260.96/66.61 | | (25), (26), (27), (29), (30), (32), (33), (34), (37) are
% 260.96/66.61 | | inconsistent by sub-proof #87.
% 260.96/66.61 | |
% 260.96/66.61 | End of split
% 260.96/66.61 |
% 260.96/66.61 End of proof
% 260.96/66.61
% 260.96/66.61 Sub-proof #76 shows that the following formulas are inconsistent:
% 260.96/66.61 ----------------------------------------------------------------
% 260.96/66.61 (1) succ(all_4_95) = all_4_51
% 260.96/66.61 (2) pred(all_4_95) = all_4_55
% 260.96/66.61 (3) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.61 (4) sum(n3, n3) = n6
% 260.96/66.61 (5) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.61 (6) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.61 (7) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.61 (8) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.61 (9) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.61 (10) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.96/66.61 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.61 (11) succ(all_4_94) = all_4_54
% 260.96/66.61 (12) sum(n9, n9) = all_4_99
% 260.96/66.62 (13) pred(all_4_99) = all_4_71
% 260.96/66.62 (14) all_4_98 = n7
% 260.96/66.62 (15) sum(n6, n8) = n3
% 260.96/66.62 (16) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.62 (17) sum(n5, n7) = n1
% 260.96/66.62 (18) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.62 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.62 | ~ (succ(v2) = v0))
% 260.96/66.62 (20) pred(all_4_97) = all_4_63
% 260.96/66.62 (21) succ(all_4_99) = all_4_67
% 260.96/66.62 (22) pred(n6) = n5
% 260.96/66.62 (23) pred(all_4_96) = all_4_60
% 260.96/66.62 (24) succ(all_4_96) = all_4_62
% 260.96/66.62 (25) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.62 (26) pred(n7) = n6
% 260.96/66.62 (27) succ(n7) = n8
% 260.96/66.62 (28) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.62 (29) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.62 (30) succ(n2) = n3
% 260.96/66.62 (31) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.62 (32) succ(n6) = n7
% 260.96/66.62 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.62 (34) sum(n9, n9) = n7
% 260.96/66.62 (35) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.62 (36) pred(n2) = n1
% 260.96/66.62 (37) succ(all_4_98) = all_4_70
% 260.96/66.62 (38) sum(n4, n4) = n8
% 260.96/66.62 (39) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.62 (40) succ(all_4_97) = all_4_59
% 260.96/66.62 (41) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.62 (42) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.62 (43) sum(n1, n3) = n4
% 260.96/66.62 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.62 | ~ (pred(v2) = v0))
% 260.96/66.62 (45) sum(n1, n1) = n2
% 260.96/66.62 (46) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.62 (47) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.62 (48) pred(all_4_98) = all_4_68
% 260.96/66.62 (49) pred(all_4_94) = all_4_52
% 260.96/66.62
% 260.96/66.62 Begin of proof
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with n7, all_4_99, n9, n9, simplifying with
% 260.96/66.62 | (12), (34) gives:
% 260.96/66.62 | (50) all_4_99 = n7
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (14), (48) imply:
% 260.96/66.62 | (51) pred(n7) = all_4_68
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (13), (50) imply:
% 260.96/66.62 | (52) pred(n7) = all_4_71
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (14), (37) imply:
% 260.96/66.62 | (53) succ(n7) = all_4_70
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (21), (50) imply:
% 260.96/66.62 | (54) succ(n7) = all_4_67
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (19) with n8, all_4_67, n7, simplifying with (27),
% 260.96/66.62 | (54) gives:
% 260.96/66.62 | (55) all_4_67 = n8
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (19) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.62 | (53), (54) gives:
% 260.96/66.62 | (56) all_4_67 = all_4_70
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (44) with n6, all_4_68, n7, simplifying with (26),
% 260.96/66.62 | (51) gives:
% 260.96/66.62 | (57) all_4_68 = n6
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.62 | (51), (52) gives:
% 260.96/66.62 | (58) all_4_68 = all_4_71
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (55), (56) imply:
% 260.96/66.62 | (59) all_4_70 = n8
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (57), (58) imply:
% 260.96/66.62 | (60) all_4_71 = n6
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (31), (55), (57) imply:
% 260.96/66.62 | (61) sum(n6, n8) = all_4_66
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (39), (57), (59) imply:
% 260.96/66.62 | (62) sum(n6, n8) = all_4_64
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (28), (55), (60) imply:
% 260.96/66.62 | (63) sum(n6, n8) = all_4_65
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (6), (59), (60) imply:
% 260.96/66.62 | (64) sum(n6, n8) = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.62 | (15), (63) gives:
% 260.96/66.62 | (65) all_4_65 = n3
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.62 | with (61), (63) gives:
% 260.96/66.62 | (66) all_4_65 = all_4_66
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.62 | with (61), (62) gives:
% 260.96/66.62 | (67) all_4_64 = all_4_66
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.62 | with (62), (64) gives:
% 260.96/66.62 | (68) all_4_64 = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (67), (68) imply:
% 260.96/66.62 | (69) all_4_66 = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (69) implies:
% 260.96/66.62 | (70) all_4_66 = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (65), (66) imply:
% 260.96/66.62 | (71) all_4_66 = n3
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (71) implies:
% 260.96/66.62 | (72) all_4_66 = n3
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (70), (72) imply:
% 260.96/66.62 | (73) all_4_69 = n3
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (68), (73) imply:
% 260.96/66.62 | (74) all_4_64 = n3
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (18), (65), (74) imply:
% 260.96/66.62 | (75) sum(n3, n3) = all_4_96
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (35), (72), (73) imply:
% 260.96/66.62 | (76) sum(n3, n3) = all_4_97
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.62 | (4), (75) gives:
% 260.96/66.62 | (77) all_4_96 = n6
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.62 | with (75), (76) gives:
% 260.96/66.62 | (78) all_4_96 = all_4_97
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (77), (78) imply:
% 260.96/66.62 | (79) all_4_97 = n6
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (79) implies:
% 260.96/66.62 | (80) all_4_97 = n6
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (23), (77) imply:
% 260.96/66.62 | (81) pred(n6) = all_4_60
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (20), (80) imply:
% 260.96/66.62 | (82) pred(n6) = all_4_63
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (24), (77) imply:
% 260.96/66.62 | (83) succ(n6) = all_4_62
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (40), (80) imply:
% 260.96/66.62 | (84) succ(n6) = all_4_59
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (19) with n7, all_4_59, n6, simplifying with (32),
% 260.96/66.62 | (84) gives:
% 260.96/66.62 | (85) all_4_59 = n7
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (19) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.62 | (83), (84) gives:
% 260.96/66.62 | (86) all_4_59 = all_4_62
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (44) with n5, all_4_60, n6, simplifying with (22),
% 260.96/66.62 | (81) gives:
% 260.96/66.62 | (87) all_4_60 = n5
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.62 | (81), (82) gives:
% 260.96/66.62 | (88) all_4_60 = all_4_63
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (85), (86) imply:
% 260.96/66.62 | (89) all_4_62 = n7
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (87), (88) imply:
% 260.96/66.62 | (90) all_4_63 = n5
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (29), (85), (87) imply:
% 260.96/66.62 | (91) sum(n5, n7) = all_4_58
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (5), (87), (89) imply:
% 260.96/66.62 | (92) sum(n5, n7) = all_4_56
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (8), (85), (90) imply:
% 260.96/66.62 | (93) sum(n5, n7) = all_4_57
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (9), (89), (90) imply:
% 260.96/66.62 | (94) sum(n5, n7) = all_4_61
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.62 | (17), (93) gives:
% 260.96/66.62 | (95) all_4_57 = n1
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.62 | with (91), (93) gives:
% 260.96/66.62 | (96) all_4_57 = all_4_58
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.62 | with (92), (93) gives:
% 260.96/66.62 | (97) all_4_56 = all_4_57
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (33) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.62 | with (92), (94) gives:
% 260.96/66.62 | (98) all_4_56 = all_4_61
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (97), (98) imply:
% 260.96/66.62 | (99) all_4_57 = all_4_61
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (99) implies:
% 260.96/66.62 | (100) all_4_57 = all_4_61
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (95), (96) imply:
% 260.96/66.62 | (101) all_4_58 = n1
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (96), (100) imply:
% 260.96/66.62 | (102) all_4_58 = all_4_61
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (101), (102) imply:
% 260.96/66.62 | (103) all_4_61 = n1
% 260.96/66.62 |
% 260.96/66.62 | REF_CLOSE: (1), (2), (3), (7), (10), (11), (14), (16), (19), (25), (30), (33),
% 260.96/66.62 | (36), (38), (41), (42), (43), (44), (45), (46), (47), (49), (50),
% 260.96/66.62 | (77), (80), (95), (98), (101), (103) are inconsistent by sub-proof
% 260.96/66.62 | #77.
% 260.96/66.62 |
% 260.96/66.62 End of proof
% 260.96/66.62
% 260.96/66.62 Sub-proof #77 shows that the following formulas are inconsistent:
% 260.96/66.62 ----------------------------------------------------------------
% 260.96/66.62 (1) succ(all_4_95) = all_4_51
% 260.96/66.62 (2) all_4_58 = n1
% 260.96/66.62 (3) pred(all_4_95) = all_4_55
% 260.96/66.62 (4) all_4_61 = n1
% 260.96/66.62 (5) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.62 (6) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.62 (7) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.96/66.62 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.62 (8) succ(all_4_94) = all_4_54
% 260.96/66.62 (9) all_4_98 = n7
% 260.96/66.62 (10) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.62 (11) all_4_96 = n6
% 260.96/66.62 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.62 | ~ (succ(v2) = v0))
% 260.96/66.62 (13) all_4_99 = n7
% 260.96/66.62 (14) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.62 (15) succ(n2) = n3
% 260.96/66.62 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.62 (17) pred(n2) = n1
% 260.96/66.62 (18) all_4_56 = all_4_61
% 260.96/66.62 (19) sum(n4, n4) = n8
% 260.96/66.62 (20) all_4_97 = n6
% 260.96/66.62 (21) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.62 (22) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.62 (23) sum(n1, n3) = n4
% 260.96/66.62 (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.62 | ~ (pred(v2) = v0))
% 260.96/66.62 (25) sum(n1, n1) = n2
% 260.96/66.62 (26) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.62 (27) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.62 (28) pred(all_4_94) = all_4_52
% 260.96/66.62 (29) all_4_57 = n1
% 260.96/66.62
% 260.96/66.62 Begin of proof
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (4), (18) imply:
% 260.96/66.62 | (30) all_4_56 = n1
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (10), (29), (30) imply:
% 260.96/66.62 | (31) sum(n1, n1) = all_4_94
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (2), (4), (21) imply:
% 260.96/66.62 | (32) sum(n1, n1) = all_4_95
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.62 | (25), (31) gives:
% 260.96/66.62 | (33) all_4_94 = n2
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with all_4_95, all_4_94, n1, n1, simplifying
% 260.96/66.62 | with (31), (32) gives:
% 260.96/66.62 | (34) all_4_94 = all_4_95
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (33), (34) imply:
% 260.96/66.62 | (35) all_4_95 = n2
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (28), (33) imply:
% 260.96/66.62 | (36) pred(n2) = all_4_52
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (3), (35) imply:
% 260.96/66.62 | (37) pred(n2) = all_4_55
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (8), (33) imply:
% 260.96/66.62 | (38) succ(n2) = all_4_54
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (1), (35) imply:
% 260.96/66.62 | (39) succ(n2) = all_4_51
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (12) with n3, all_4_51, n2, simplifying with (15),
% 260.96/66.62 | (39) gives:
% 260.96/66.62 | (40) all_4_51 = n3
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (12) with all_4_54, all_4_51, n2, simplifying with
% 260.96/66.62 | (38), (39) gives:
% 260.96/66.62 | (41) all_4_51 = all_4_54
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (24) with n1, all_4_52, n2, simplifying with (17),
% 260.96/66.62 | (36) gives:
% 260.96/66.62 | (42) all_4_52 = n1
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (24) with all_4_55, all_4_52, n2, simplifying with
% 260.96/66.62 | (36), (37) gives:
% 260.96/66.62 | (43) all_4_52 = all_4_55
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (40), (41) imply:
% 260.96/66.62 | (44) all_4_54 = n3
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (42), (43) imply:
% 260.96/66.62 | (45) all_4_55 = n1
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (45) implies:
% 260.96/66.62 | (46) all_4_55 = n1
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (26), (40), (42) imply:
% 260.96/66.62 | (47) sum(n1, n3) = all_4_50
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (5), (42), (44) imply:
% 260.96/66.62 | (48) sum(n1, n3) = all_4_48
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (14), (40), (46) imply:
% 260.96/66.62 | (49) sum(n1, n3) = all_4_49
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (6), (44), (46) imply:
% 260.96/66.62 | (50) sum(n1, n3) = all_4_53
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with n4, all_4_49, n3, n1, simplifying with
% 260.96/66.62 | (23), (49) gives:
% 260.96/66.62 | (51) all_4_49 = n4
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with all_4_50, all_4_49, n3, n1, simplifying
% 260.96/66.62 | with (47), (49) gives:
% 260.96/66.62 | (52) all_4_49 = all_4_50
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with all_4_49, all_4_48, n3, n1, simplifying
% 260.96/66.62 | with (48), (49) gives:
% 260.96/66.62 | (53) all_4_48 = all_4_49
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with all_4_53, all_4_48, n3, n1, simplifying
% 260.96/66.62 | with (48), (50) gives:
% 260.96/66.62 | (54) all_4_48 = all_4_53
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (53), (54) imply:
% 260.96/66.62 | (55) all_4_49 = all_4_53
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (55) implies:
% 260.96/66.62 | (56) all_4_49 = all_4_53
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (51), (52) imply:
% 260.96/66.62 | (57) all_4_50 = n4
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (52), (56) imply:
% 260.96/66.62 | (58) all_4_50 = all_4_53
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (57), (58) imply:
% 260.96/66.62 | (59) all_4_53 = n4
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (54), (59) imply:
% 260.96/66.62 | (60) all_4_48 = n4
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (22), (51), (60) imply:
% 260.96/66.62 | (61) sum(n4, n4) = all_4_92
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (27), (57), (59) imply:
% 260.96/66.62 | (62) sum(n4, n4) = all_4_93
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with n8, all_4_93, n4, n4, simplifying with
% 260.96/66.62 | (19), (62) gives:
% 260.96/66.62 | (63) all_4_93 = n8
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (16) with n8, all_4_92, n4, n4, simplifying with
% 260.96/66.62 | (19), (61) gives:
% 260.96/66.62 | (64) all_4_92 = n8
% 260.96/66.62 |
% 260.96/66.62 | REF_CLOSE: (7), (9), (11), (13), (20), (33), (35), (63), (64) are inconsistent
% 260.96/66.62 | by sub-proof #196.
% 260.96/66.62 |
% 260.96/66.62 End of proof
% 260.96/66.62
% 260.96/66.62 Sub-proof #78 shows that the following formulas are inconsistent:
% 260.96/66.62 ----------------------------------------------------------------
% 260.96/66.62 (1) succ(n2) = all_4_62
% 260.96/66.62 (2) pred(n8) = all_4_55
% 260.96/66.62 (3) pred(n2) = all_4_60
% 260.96/66.62 (4) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.62 (5) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.62 (6) pred(n2) = all_4_63
% 260.96/66.62 (7) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.62 (8) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.62 (9) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.62 (10) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.96/66.62 all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.62 (11) pred(n8) = n7
% 260.96/66.62 (12) all_4_98 = n6
% 260.96/66.62 (13) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.62 (14) all_4_96 = n2
% 260.96/66.62 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.62 | ~ (succ(v2) = v0))
% 260.96/66.62 (16) succ(n8) = all_4_51
% 260.96/66.62 (17) all_4_97 = n2
% 260.96/66.62 (18) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.62 (19) succ(n8) = all_4_54
% 260.96/66.62 (20) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.62 (21) sum(n5, n5) = n10
% 260.96/66.62 (22) pred(n8) = all_4_52
% 260.96/66.62 (23) succ(n2) = n3
% 260.96/66.62 (24) succ(n8) = n9
% 260.96/66.62 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.62 (26) sum(n7, n9) = n5
% 260.96/66.62 (27) succ(n2) = all_4_59
% 260.96/66.62 (28) pred(n2) = n1
% 260.96/66.62 (29) sum(n4, n4) = n8
% 260.96/66.62 (30) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.62 (31) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.62 (32) all_4_99 = n6
% 260.96/66.62 (33) sum(n1, n3) = n4
% 260.96/66.62 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.62 | ~ (pred(v2) = v0))
% 260.96/66.62 (35) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.62 (36) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.62
% 260.96/66.62 Begin of proof
% 260.96/66.62 |
% 260.96/66.62 | BETA: splitting (10) gives:
% 260.96/66.62 |
% 260.96/66.62 | Case 1:
% 260.96/66.62 | |
% 260.96/66.62 | | (37) ~ (all_4_92 = all_4_93)
% 260.96/66.62 | |
% 260.96/66.62 | | GROUND_INST: instantiating (15) with n9, all_4_51, n8, simplifying with
% 260.96/66.62 | | (16), (24) gives:
% 260.96/66.62 | | (38) all_4_51 = n9
% 260.96/66.62 | |
% 260.96/66.62 | | REF_CLOSE: (2), (4), (7), (11), (15), (16), (18), (19), (21), (22), (25),
% 260.96/66.62 | | (26), (31), (34), (35), (36), (37), (38) are inconsistent by
% 260.96/66.62 | | sub-proof #113.
% 260.96/66.62 | |
% 260.96/66.62 | Case 2:
% 260.96/66.62 | |
% 260.96/66.62 | | (39) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.96/66.62 | | all_4_99)
% 260.96/66.62 | |
% 260.96/66.62 | | REF_CLOSE: (1), (3), (5), (6), (8), (9), (12), (13), (14), (15), (17), (20),
% 260.96/66.62 | | (23), (25), (27), (28), (29), (30), (32), (33), (34), (39) are
% 260.96/66.62 | | inconsistent by sub-proof #88.
% 260.96/66.62 | |
% 260.96/66.62 | End of split
% 260.96/66.62 |
% 260.96/66.62 End of proof
% 260.96/66.62
% 260.96/66.62 Sub-proof #79 shows that the following formulas are inconsistent:
% 260.96/66.62 ----------------------------------------------------------------
% 260.96/66.62 (1) succ(all_4_95) = all_4_51
% 260.96/66.62 (2) succ(all_4_92) = all_4_46
% 260.96/66.62 (3) pred(all_4_95) = all_4_55
% 260.96/66.62 (4) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.62 (5) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.62 (6) sum(n3, n3) = n6
% 260.96/66.62 (7) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.62 (8) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.62 (9) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.62 (10) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.62 (11) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.62 (12) succ(all_4_94) = all_4_54
% 260.96/66.62 (13) pred(n8) = n7
% 260.96/66.62 (14) pred(all_4_99) = all_4_71
% 260.96/66.62 (15) all_4_98 = n7
% 260.96/66.62 (16) sum(n6, n8) = n3
% 260.96/66.62 (17) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.62 (18) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.62 (19) pred(all_4_92) = all_4_44
% 260.96/66.62 (20) sum(n5, n7) = n1
% 260.96/66.62 (21) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.62 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.62 | ~ (succ(v2) = v0))
% 260.96/66.62 (23) pred(all_4_97) = all_4_63
% 260.96/66.62 (24) succ(all_4_99) = all_4_67
% 260.96/66.62 (25) pred(n6) = n5
% 260.96/66.62 (26) pred(all_4_96) = all_4_60
% 260.96/66.62 (27) succ(all_4_96) = all_4_62
% 260.96/66.62 (28) all_4_99 = n7
% 260.96/66.62 (29) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.62 (30) pred(n7) = n6
% 260.96/66.62 (31) succ(n7) = n8
% 260.96/66.62 (32) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.62 (33) pred(all_4_93) = all_4_47
% 260.96/66.62 (34) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.62 (35) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.62 (36) sum(n5, n5) = n10
% 260.96/66.62 (37) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.62 (38) succ(n2) = n3
% 260.96/66.62 (39) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.62 (40) succ(n6) = n7
% 260.96/66.62 (41) succ(n8) = n9
% 260.96/66.62 (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.62 (43) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.62 (44) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.62 (45) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.62 (46) sum(n7, n9) = n5
% 260.96/66.62 (47) pred(n2) = n1
% 260.96/66.62 (48) succ(all_4_98) = all_4_70
% 260.96/66.62 (49) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.96/66.62 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.62 (50) sum(n4, n4) = n8
% 260.96/66.62 (51) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.62 (52) succ(all_4_97) = all_4_59
% 260.96/66.62 (53) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.62 (54) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.62 (55) sum(n1, n3) = n4
% 260.96/66.62 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.62 | ~ (pred(v2) = v0))
% 260.96/66.62 (57) sum(n1, n1) = n2
% 260.96/66.62 (58) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.62 (59) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.62 (60) succ(all_4_93) = all_4_43
% 260.96/66.62 (61) pred(all_4_98) = all_4_68
% 260.96/66.62 (62) pred(all_4_94) = all_4_52
% 260.96/66.62
% 260.96/66.62 Begin of proof
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (15), (61) imply:
% 260.96/66.62 | (63) pred(n7) = all_4_68
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (14), (28) imply:
% 260.96/66.62 | (64) pred(n7) = all_4_71
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (15), (48) imply:
% 260.96/66.62 | (65) succ(n7) = all_4_70
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (24), (28) imply:
% 260.96/66.62 | (66) succ(n7) = all_4_67
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (22) with n8, all_4_67, n7, simplifying with (31),
% 260.96/66.62 | (66) gives:
% 260.96/66.62 | (67) all_4_67 = n8
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (22) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.62 | (65), (66) gives:
% 260.96/66.62 | (68) all_4_67 = all_4_70
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (56) with n6, all_4_68, n7, simplifying with (30),
% 260.96/66.62 | (63) gives:
% 260.96/66.62 | (69) all_4_68 = n6
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (56) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.62 | (63), (64) gives:
% 260.96/66.62 | (70) all_4_68 = all_4_71
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (67), (68) imply:
% 260.96/66.62 | (71) all_4_70 = n8
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (69), (70) imply:
% 260.96/66.62 | (72) all_4_71 = n6
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (39), (67), (69) imply:
% 260.96/66.62 | (73) sum(n6, n8) = all_4_66
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (51), (69), (71) imply:
% 260.96/66.62 | (74) sum(n6, n8) = all_4_64
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (34), (67), (72) imply:
% 260.96/66.62 | (75) sum(n6, n8) = all_4_65
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (8), (71), (72) imply:
% 260.96/66.62 | (76) sum(n6, n8) = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (42) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.62 | (16), (75) gives:
% 260.96/66.62 | (77) all_4_65 = n3
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (42) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.62 | with (73), (75) gives:
% 260.96/66.62 | (78) all_4_65 = all_4_66
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (42) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.62 | with (73), (74) gives:
% 260.96/66.62 | (79) all_4_64 = all_4_66
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (42) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.62 | with (74), (76) gives:
% 260.96/66.62 | (80) all_4_64 = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (79), (80) imply:
% 260.96/66.62 | (81) all_4_66 = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (81) implies:
% 260.96/66.62 | (82) all_4_66 = all_4_69
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (77), (78) imply:
% 260.96/66.62 | (83) all_4_66 = n3
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (83) implies:
% 260.96/66.62 | (84) all_4_66 = n3
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (82), (84) imply:
% 260.96/66.62 | (85) all_4_69 = n3
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (80), (85) imply:
% 260.96/66.62 | (86) all_4_64 = n3
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (21), (77), (86) imply:
% 260.96/66.62 | (87) sum(n3, n3) = all_4_96
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (45), (84), (85) imply:
% 260.96/66.62 | (88) sum(n3, n3) = all_4_97
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (42) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.62 | (6), (87) gives:
% 260.96/66.62 | (89) all_4_96 = n6
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (42) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.62 | with (87), (88) gives:
% 260.96/66.62 | (90) all_4_96 = all_4_97
% 260.96/66.62 |
% 260.96/66.62 | COMBINE_EQS: (89), (90) imply:
% 260.96/66.62 | (91) all_4_97 = n6
% 260.96/66.62 |
% 260.96/66.62 | SIMP: (91) implies:
% 260.96/66.62 | (92) all_4_97 = n6
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (26), (89) imply:
% 260.96/66.62 | (93) pred(n6) = all_4_60
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (23), (92) imply:
% 260.96/66.62 | (94) pred(n6) = all_4_63
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (27), (89) imply:
% 260.96/66.62 | (95) succ(n6) = all_4_62
% 260.96/66.62 |
% 260.96/66.62 | REDUCE: (52), (92) imply:
% 260.96/66.62 | (96) succ(n6) = all_4_59
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (22) with n7, all_4_59, n6, simplifying with (40),
% 260.96/66.62 | (96) gives:
% 260.96/66.62 | (97) all_4_59 = n7
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (22) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.62 | (95), (96) gives:
% 260.96/66.62 | (98) all_4_59 = all_4_62
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (56) with n5, all_4_60, n6, simplifying with (25),
% 260.96/66.62 | (93) gives:
% 260.96/66.62 | (99) all_4_60 = n5
% 260.96/66.62 |
% 260.96/66.62 | GROUND_INST: instantiating (56) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.62 | (93), (94) gives:
% 260.96/66.63 | (100) all_4_60 = all_4_63
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (97), (98) imply:
% 260.96/66.63 | (101) all_4_62 = n7
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (99), (100) imply:
% 260.96/66.63 | (102) all_4_63 = n5
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (35), (97), (99) imply:
% 260.96/66.63 | (103) sum(n5, n7) = all_4_58
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (7), (99), (101) imply:
% 260.96/66.63 | (104) sum(n5, n7) = all_4_56
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (10), (97), (102) imply:
% 260.96/66.63 | (105) sum(n5, n7) = all_4_57
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (11), (101), (102) imply:
% 260.96/66.63 | (106) sum(n5, n7) = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.63 | (20), (105) gives:
% 260.96/66.63 | (107) all_4_57 = n1
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.63 | with (103), (105) gives:
% 260.96/66.63 | (108) all_4_57 = all_4_58
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.63 | with (104), (105) gives:
% 260.96/66.63 | (109) all_4_56 = all_4_57
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.63 | with (104), (106) gives:
% 260.96/66.63 | (110) all_4_56 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (109), (110) imply:
% 260.96/66.63 | (111) all_4_57 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (111) implies:
% 260.96/66.63 | (112) all_4_57 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (107), (108) imply:
% 260.96/66.63 | (113) all_4_58 = n1
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (108), (112) imply:
% 260.96/66.63 | (114) all_4_58 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (113), (114) imply:
% 260.96/66.63 | (115) all_4_61 = n1
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (110), (115) imply:
% 260.96/66.63 | (116) all_4_56 = n1
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (17), (107), (116) imply:
% 260.96/66.63 | (117) sum(n1, n1) = all_4_94
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (53), (113), (115) imply:
% 260.96/66.63 | (118) sum(n1, n1) = all_4_95
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.63 | (57), (117) gives:
% 260.96/66.63 | (119) all_4_94 = n2
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_95, all_4_94, n1, n1, simplifying
% 260.96/66.63 | with (117), (118) gives:
% 260.96/66.63 | (120) all_4_94 = all_4_95
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (119), (120) imply:
% 260.96/66.63 | (121) all_4_95 = n2
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (62), (119) imply:
% 260.96/66.63 | (122) pred(n2) = all_4_52
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (3), (121) imply:
% 260.96/66.63 | (123) pred(n2) = all_4_55
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (12), (119) imply:
% 260.96/66.63 | (124) succ(n2) = all_4_54
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (1), (121) imply:
% 260.96/66.63 | (125) succ(n2) = all_4_51
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (22) with n3, all_4_51, n2, simplifying with (38),
% 260.96/66.63 | (125) gives:
% 260.96/66.63 | (126) all_4_51 = n3
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (22) with all_4_54, all_4_51, n2, simplifying with
% 260.96/66.63 | (124), (125) gives:
% 260.96/66.63 | (127) all_4_51 = all_4_54
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (56) with n1, all_4_52, n2, simplifying with (47),
% 260.96/66.63 | (122) gives:
% 260.96/66.63 | (128) all_4_52 = n1
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (56) with all_4_55, all_4_52, n2, simplifying with
% 260.96/66.63 | (122), (123) gives:
% 260.96/66.63 | (129) all_4_52 = all_4_55
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (126), (127) imply:
% 260.96/66.63 | (130) all_4_54 = n3
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (128), (129) imply:
% 260.96/66.63 | (131) all_4_55 = n1
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (131) implies:
% 260.96/66.63 | (132) all_4_55 = n1
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (58), (126), (128) imply:
% 260.96/66.63 | (133) sum(n1, n3) = all_4_50
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (5), (128), (130) imply:
% 260.96/66.63 | (134) sum(n1, n3) = all_4_48
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (29), (126), (132) imply:
% 260.96/66.63 | (135) sum(n1, n3) = all_4_49
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (9), (130), (132) imply:
% 260.96/66.63 | (136) sum(n1, n3) = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n4, all_4_49, n3, n1, simplifying with
% 260.96/66.63 | (55), (135) gives:
% 260.96/66.63 | (137) all_4_49 = n4
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_50, all_4_49, n3, n1, simplifying
% 260.96/66.63 | with (133), (135) gives:
% 260.96/66.63 | (138) all_4_49 = all_4_50
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_49, all_4_48, n3, n1, simplifying
% 260.96/66.63 | with (134), (135) gives:
% 260.96/66.63 | (139) all_4_48 = all_4_49
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_53, all_4_48, n3, n1, simplifying
% 260.96/66.63 | with (134), (136) gives:
% 260.96/66.63 | (140) all_4_48 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (139), (140) imply:
% 260.96/66.63 | (141) all_4_49 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (141) implies:
% 260.96/66.63 | (142) all_4_49 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (137), (138) imply:
% 260.96/66.63 | (143) all_4_50 = n4
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (138), (142) imply:
% 260.96/66.63 | (144) all_4_50 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (143), (144) imply:
% 260.96/66.63 | (145) all_4_53 = n4
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (140), (145) imply:
% 260.96/66.63 | (146) all_4_48 = n4
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (54), (137), (146) imply:
% 260.96/66.63 | (147) sum(n4, n4) = all_4_92
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (59), (143), (145) imply:
% 260.96/66.63 | (148) sum(n4, n4) = all_4_93
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n8, all_4_92, n4, n4, simplifying with
% 260.96/66.63 | (50), (147) gives:
% 260.96/66.63 | (149) all_4_92 = n8
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_93, all_4_92, n4, n4, simplifying
% 260.96/66.63 | with (147), (148) gives:
% 260.96/66.63 | (150) all_4_92 = all_4_93
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (149), (150) imply:
% 260.96/66.63 | (151) all_4_93 = n8
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (151) implies:
% 260.96/66.63 | (152) all_4_93 = n8
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (19), (149) imply:
% 260.96/66.63 | (153) pred(n8) = all_4_44
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (33), (152) imply:
% 260.96/66.63 | (154) pred(n8) = all_4_47
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (2), (149) imply:
% 260.96/66.63 | (155) succ(n8) = all_4_46
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (60), (152) imply:
% 260.96/66.63 | (156) succ(n8) = all_4_43
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (22) with n9, all_4_43, n8, simplifying with (41),
% 260.96/66.63 | (156) gives:
% 260.96/66.63 | (157) all_4_43 = n9
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (22) with all_4_46, all_4_43, n8, simplifying with
% 260.96/66.63 | (155), (156) gives:
% 260.96/66.63 | (158) all_4_43 = all_4_46
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (56) with n7, all_4_44, n8, simplifying with (13),
% 260.96/66.63 | (153) gives:
% 260.96/66.63 | (159) all_4_44 = n7
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (56) with all_4_47, all_4_44, n8, simplifying with
% 260.96/66.63 | (153), (154) gives:
% 260.96/66.63 | (160) all_4_44 = all_4_47
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (157), (158) imply:
% 260.96/66.63 | (161) all_4_46 = n9
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (159), (160) imply:
% 260.96/66.63 | (162) all_4_47 = n7
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (44), (157), (159) imply:
% 260.96/66.63 | (163) sum(n7, n9) = all_4_42
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (4), (159), (161) imply:
% 260.96/66.63 | (164) sum(n7, n9) = all_4_40
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (18), (157), (162) imply:
% 260.96/66.63 | (165) sum(n7, n9) = all_4_41
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (32), (161), (162) imply:
% 260.96/66.63 | (166) sum(n7, n9) = all_4_45
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n5, all_4_41, n9, n7, simplifying with
% 260.96/66.63 | (46), (165) gives:
% 260.96/66.63 | (167) all_4_41 = n5
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_42, all_4_41, n9, n7, simplifying
% 260.96/66.63 | with (163), (165) gives:
% 260.96/66.63 | (168) all_4_41 = all_4_42
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_41, all_4_40, n9, n7, simplifying
% 260.96/66.63 | with (164), (165) gives:
% 260.96/66.63 | (169) all_4_40 = all_4_41
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with all_4_45, all_4_40, n9, n7, simplifying
% 260.96/66.63 | with (164), (166) gives:
% 260.96/66.63 | (170) all_4_40 = all_4_45
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (169), (170) imply:
% 260.96/66.63 | (171) all_4_41 = all_4_45
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (171) implies:
% 260.96/66.63 | (172) all_4_41 = all_4_45
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (167), (168) imply:
% 260.96/66.63 | (173) all_4_42 = n5
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (168), (172) imply:
% 260.96/66.63 | (174) all_4_42 = all_4_45
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (173), (174) imply:
% 260.96/66.63 | (175) all_4_45 = n5
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (175) implies:
% 260.96/66.63 | (176) all_4_45 = n5
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (170), (176) imply:
% 260.96/66.63 | (177) all_4_40 = n5
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (37), (167), (177) imply:
% 260.96/66.63 | (178) sum(n5, n5) = all_4_90
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (43), (173), (176) imply:
% 260.96/66.63 | (179) sum(n5, n5) = all_4_91
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n10, all_4_91, n5, n5, simplifying with
% 260.96/66.63 | (36), (179) gives:
% 260.96/66.63 | (180) all_4_91 = n10
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (42) with n10, all_4_90, n5, n5, simplifying with
% 260.96/66.63 | (36), (178) gives:
% 260.96/66.63 | (181) all_4_90 = n10
% 260.96/66.63 |
% 260.96/66.63 | REF_CLOSE: (15), (28), (49), (89), (92), (119), (121), (149), (152), (180),
% 260.96/66.63 | (181) are inconsistent by sub-proof #195.
% 260.96/66.63 |
% 260.96/66.63 End of proof
% 260.96/66.63
% 260.96/66.63 Sub-proof #80 shows that the following formulas are inconsistent:
% 260.96/66.63 ----------------------------------------------------------------
% 260.96/66.63 (1) pred(n7) = all_4_52
% 260.96/66.63 (2) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.63 (3) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.63 (4) sum(n3, n3) = n6
% 260.96/66.63 (5) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.63 (6) pred(n7) = all_4_55
% 260.96/66.63 (7) succ(n6) = all_4_43
% 260.96/66.63 (8) succ(n7) = all_4_54
% 260.96/66.63 (9) all_4_96 = n10
% 260.96/66.63 (10) all_4_94 = n7
% 260.96/66.63 (11) sum(n6, n8) = n3
% 260.96/66.63 (12) all_4_97 = n10
% 260.96/66.63 (13) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.63 (14) sum(n5, n7) = n1
% 260.96/66.63 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.63 | ~ (succ(v2) = v0))
% 260.96/66.63 (16) pred(n6) = n5
% 260.96/66.63 (17) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.63 (18) pred(n7) = n6
% 260.96/66.63 (19) succ(n7) = n8
% 260.96/66.63 (20) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.63 (21) all_4_99 = n8
% 260.96/66.63 (22) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.63 (23) succ(n6) = n7
% 260.96/66.63 (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.63 (25) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.63 (26) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.63 (27) pred(n6) = all_4_47
% 260.96/66.63 (28) succ(n7) = all_4_51
% 260.96/66.63 (29) all_4_95 = n7
% 260.96/66.63 (30) pred(n6) = all_4_44
% 260.96/66.63 (31) all_4_98 = n8
% 260.96/66.63 (32) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.96/66.63 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.63 (33) succ(n6) = all_4_46
% 260.96/66.63 (34) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.63 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.63 | ~ (pred(v2) = v0))
% 260.96/66.63 (36) sum(n1, n1) = n2
% 260.96/66.63 (37) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.63 (38) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.63
% 260.96/66.63 Begin of proof
% 260.96/66.63 |
% 260.96/66.63 | BETA: splitting (32) gives:
% 260.96/66.63 |
% 260.96/66.63 | Case 1:
% 260.96/66.63 | |
% 260.96/66.63 | | (39) ~ (all_4_90 = all_4_91)
% 260.96/66.63 | |
% 260.96/66.63 | | GROUND_INST: instantiating (15) with n7, all_4_43, n6, simplifying with (7),
% 260.96/66.63 | | (23) gives:
% 260.96/66.63 | | (40) all_4_43 = n7
% 260.96/66.63 | |
% 260.96/66.63 | | REF_CLOSE: (2), (7), (13), (14), (15), (16), (20), (22), (24), (25), (26),
% 260.96/66.63 | | (27), (30), (33), (35), (36), (39), (40) are inconsistent by
% 260.96/66.63 | | sub-proof #125.
% 260.96/66.63 | |
% 260.96/66.63 | Case 2:
% 260.96/66.63 | |
% 260.96/66.63 | | (41) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 260.96/66.63 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.63 | |
% 260.96/66.63 | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (15), (17),
% 260.96/66.63 | | (18), (19), (21), (24), (28), (29), (31), (34), (35), (37), (38),
% 260.96/66.63 | | (41) are inconsistent by sub-proof #89.
% 260.96/66.63 | |
% 260.96/66.63 | End of split
% 260.96/66.63 |
% 260.96/66.63 End of proof
% 260.96/66.63
% 260.96/66.63 Sub-proof #81 shows that the following formulas are inconsistent:
% 260.96/66.63 ----------------------------------------------------------------
% 260.96/66.63 (1) succ(all_4_95) = all_4_51
% 260.96/66.63 (2) succ(all_4_91) = all_4_35
% 260.96/66.63 (3) succ(all_4_92) = all_4_46
% 260.96/66.63 (4) pred(all_4_95) = all_4_55
% 260.96/66.63 (5) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.63 (6) sum(n9, n0) = n9
% 260.96/66.63 (7) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.63 (8) sum(n3, n3) = n6
% 260.96/66.63 (9) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.63 (10) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.63 (11) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.63 (12) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.63 (13) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.63 (14) succ(all_4_94) = all_4_54
% 260.96/66.63 (15) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.63 (16) pred(n8) = n7
% 260.96/66.63 (17) sum(n9, n9) = all_4_99
% 260.96/66.63 (18) pred(all_4_99) = all_4_71
% 260.96/66.63 (19) all_4_98 = n7
% 260.96/66.63 (20) succ(all_4_90) = all_4_38
% 260.96/66.63 (21) sum(n6, n8) = n3
% 260.96/66.63 (22) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.63 (23) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.63 (24) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.63 (25) pred(all_4_91) = all_4_39
% 260.96/66.63 (26) pred(all_4_92) = all_4_44
% 260.96/66.63 (27) sum(n5, n7) = n1
% 260.96/66.63 (28) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.63 (29) succ(n10) = n0
% 260.96/66.63 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.63 | ~ (succ(v2) = v0))
% 260.96/66.63 (31) pred(all_4_97) = all_4_63
% 260.96/66.63 (32) succ(all_4_99) = all_4_67
% 260.96/66.63 (33) pred(n6) = n5
% 260.96/66.63 (34) pred(all_4_96) = all_4_60
% 260.96/66.63 (35) succ(all_4_96) = all_4_62
% 260.96/66.63 (36) all_4_99 = n7
% 260.96/66.63 (37) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.63 (38) pred(n7) = n6
% 260.96/66.63 (39) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.63 (40) succ(n7) = n8
% 260.96/66.63 (41) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.63 (42) pred(all_4_93) = all_4_47
% 260.96/66.63 (43) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.63 (44) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.63 (45) sum(n5, n5) = n10
% 260.96/66.63 (46) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.63 (47) succ(n2) = n3
% 260.96/66.63 (48) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.63 (49) succ(n6) = n7
% 260.96/66.63 (50) succ(n8) = n9
% 260.96/66.63 (51) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.63 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.63 (53) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.63 (54) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.63 (55) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.63 (56) pred(n10) = n9
% 260.96/66.63 (57) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.63 (58) sum(n7, n9) = n5
% 260.96/66.63 (59) pred(n2) = n1
% 260.96/66.63 (60) succ(all_4_98) = all_4_70
% 260.96/66.63 (61) pred(all_4_90) = all_4_36
% 260.96/66.63 (62) sum(n4, n4) = n8
% 260.96/66.63 (63) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.63 (64) succ(all_4_97) = all_4_59
% 260.96/66.63 (65) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.63 (66) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.63 (67) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.63 (68) sum(n1, n3) = n4
% 260.96/66.63 (69) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.63 | ~ (pred(v2) = v0))
% 260.96/66.63 (70) sum(n1, n1) = n2
% 260.96/66.63 (71) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.63 (72) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.63 (73) succ(all_4_93) = all_4_43
% 260.96/66.63 (74) pred(all_4_98) = all_4_68
% 260.96/66.63 (75) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.96/66.63 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.96/66.63 (all_4_98 = all_4_99)
% 260.96/66.63 (76) pred(all_4_94) = all_4_52
% 260.96/66.63
% 260.96/66.63 Begin of proof
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (19), (74) imply:
% 260.96/66.63 | (77) pred(n7) = all_4_68
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (18), (36) imply:
% 260.96/66.63 | (78) pred(n7) = all_4_71
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (19), (60) imply:
% 260.96/66.63 | (79) succ(n7) = all_4_70
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (32), (36) imply:
% 260.96/66.63 | (80) succ(n7) = all_4_67
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (17), (36) imply:
% 260.96/66.63 | (81) sum(n9, n9) = n7
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (30) with n8, all_4_67, n7, simplifying with (40),
% 260.96/66.63 | (80) gives:
% 260.96/66.63 | (82) all_4_67 = n8
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (30) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.63 | (79), (80) gives:
% 260.96/66.63 | (83) all_4_67 = all_4_70
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (69) with n6, all_4_68, n7, simplifying with (38),
% 260.96/66.63 | (77) gives:
% 260.96/66.63 | (84) all_4_68 = n6
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (69) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.63 | (77), (78) gives:
% 260.96/66.63 | (85) all_4_68 = all_4_71
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (82), (83) imply:
% 260.96/66.63 | (86) all_4_70 = n8
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (84), (85) imply:
% 260.96/66.63 | (87) all_4_71 = n6
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (48), (82), (84) imply:
% 260.96/66.63 | (88) sum(n6, n8) = all_4_66
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (63), (84), (86) imply:
% 260.96/66.63 | (89) sum(n6, n8) = all_4_64
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (43), (82), (87) imply:
% 260.96/66.63 | (90) sum(n6, n8) = all_4_65
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (10), (86), (87) imply:
% 260.96/66.63 | (91) sum(n6, n8) = all_4_69
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.63 | (21), (90) gives:
% 260.96/66.63 | (92) all_4_65 = n3
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.63 | with (88), (90) gives:
% 260.96/66.63 | (93) all_4_65 = all_4_66
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.63 | with (88), (89) gives:
% 260.96/66.63 | (94) all_4_64 = all_4_66
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.63 | with (89), (91) gives:
% 260.96/66.63 | (95) all_4_64 = all_4_69
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (94), (95) imply:
% 260.96/66.63 | (96) all_4_66 = all_4_69
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (96) implies:
% 260.96/66.63 | (97) all_4_66 = all_4_69
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (92), (93) imply:
% 260.96/66.63 | (98) all_4_66 = n3
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (98) implies:
% 260.96/66.63 | (99) all_4_66 = n3
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (97), (99) imply:
% 260.96/66.63 | (100) all_4_69 = n3
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (95), (100) imply:
% 260.96/66.63 | (101) all_4_64 = n3
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (28), (92), (101) imply:
% 260.96/66.63 | (102) sum(n3, n3) = all_4_96
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (57), (99), (100) imply:
% 260.96/66.63 | (103) sum(n3, n3) = all_4_97
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.63 | (8), (102) gives:
% 260.96/66.63 | (104) all_4_96 = n6
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.63 | with (102), (103) gives:
% 260.96/66.63 | (105) all_4_96 = all_4_97
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (104), (105) imply:
% 260.96/66.63 | (106) all_4_97 = n6
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (106) implies:
% 260.96/66.63 | (107) all_4_97 = n6
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (34), (104) imply:
% 260.96/66.63 | (108) pred(n6) = all_4_60
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (31), (107) imply:
% 260.96/66.63 | (109) pred(n6) = all_4_63
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (35), (104) imply:
% 260.96/66.63 | (110) succ(n6) = all_4_62
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (64), (107) imply:
% 260.96/66.63 | (111) succ(n6) = all_4_59
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (30) with n7, all_4_59, n6, simplifying with (49),
% 260.96/66.63 | (111) gives:
% 260.96/66.63 | (112) all_4_59 = n7
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (30) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.63 | (110), (111) gives:
% 260.96/66.63 | (113) all_4_59 = all_4_62
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (69) with n5, all_4_60, n6, simplifying with (33),
% 260.96/66.63 | (108) gives:
% 260.96/66.63 | (114) all_4_60 = n5
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (69) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.63 | (108), (109) gives:
% 260.96/66.63 | (115) all_4_60 = all_4_63
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (112), (113) imply:
% 260.96/66.63 | (116) all_4_62 = n7
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (114), (115) imply:
% 260.96/66.63 | (117) all_4_63 = n5
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (44), (112), (114) imply:
% 260.96/66.63 | (118) sum(n5, n7) = all_4_58
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (9), (114), (116) imply:
% 260.96/66.63 | (119) sum(n5, n7) = all_4_56
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (12), (112), (117) imply:
% 260.96/66.63 | (120) sum(n5, n7) = all_4_57
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (13), (116), (117) imply:
% 260.96/66.63 | (121) sum(n5, n7) = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.63 | (27), (120) gives:
% 260.96/66.63 | (122) all_4_57 = n1
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.63 | with (118), (120) gives:
% 260.96/66.63 | (123) all_4_57 = all_4_58
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.63 | with (119), (120) gives:
% 260.96/66.63 | (124) all_4_56 = all_4_57
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.63 | with (119), (121) gives:
% 260.96/66.63 | (125) all_4_56 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (124), (125) imply:
% 260.96/66.63 | (126) all_4_57 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (126) implies:
% 260.96/66.63 | (127) all_4_57 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (122), (123) imply:
% 260.96/66.63 | (128) all_4_58 = n1
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (123), (127) imply:
% 260.96/66.63 | (129) all_4_58 = all_4_61
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (128), (129) imply:
% 260.96/66.63 | (130) all_4_61 = n1
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (125), (130) imply:
% 260.96/66.63 | (131) all_4_56 = n1
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (22), (122), (131) imply:
% 260.96/66.63 | (132) sum(n1, n1) = all_4_94
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (66), (128), (130) imply:
% 260.96/66.63 | (133) sum(n1, n1) = all_4_95
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.63 | (70), (132) gives:
% 260.96/66.63 | (134) all_4_94 = n2
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_95, all_4_94, n1, n1, simplifying
% 260.96/66.63 | with (132), (133) gives:
% 260.96/66.63 | (135) all_4_94 = all_4_95
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (134), (135) imply:
% 260.96/66.63 | (136) all_4_95 = n2
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (76), (134) imply:
% 260.96/66.63 | (137) pred(n2) = all_4_52
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (4), (136) imply:
% 260.96/66.63 | (138) pred(n2) = all_4_55
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (14), (134) imply:
% 260.96/66.63 | (139) succ(n2) = all_4_54
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (1), (136) imply:
% 260.96/66.63 | (140) succ(n2) = all_4_51
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (30) with n3, all_4_51, n2, simplifying with (47),
% 260.96/66.63 | (140) gives:
% 260.96/66.63 | (141) all_4_51 = n3
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (30) with all_4_54, all_4_51, n2, simplifying with
% 260.96/66.63 | (139), (140) gives:
% 260.96/66.63 | (142) all_4_51 = all_4_54
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (69) with n1, all_4_52, n2, simplifying with (59),
% 260.96/66.63 | (137) gives:
% 260.96/66.63 | (143) all_4_52 = n1
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (69) with all_4_55, all_4_52, n2, simplifying with
% 260.96/66.63 | (137), (138) gives:
% 260.96/66.63 | (144) all_4_52 = all_4_55
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (141), (142) imply:
% 260.96/66.63 | (145) all_4_54 = n3
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (143), (144) imply:
% 260.96/66.63 | (146) all_4_55 = n1
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (146) implies:
% 260.96/66.63 | (147) all_4_55 = n1
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (71), (141), (143) imply:
% 260.96/66.63 | (148) sum(n1, n3) = all_4_50
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (7), (143), (145) imply:
% 260.96/66.63 | (149) sum(n1, n3) = all_4_48
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (37), (141), (147) imply:
% 260.96/66.63 | (150) sum(n1, n3) = all_4_49
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (11), (145), (147) imply:
% 260.96/66.63 | (151) sum(n1, n3) = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with n4, all_4_49, n3, n1, simplifying with
% 260.96/66.63 | (68), (150) gives:
% 260.96/66.63 | (152) all_4_49 = n4
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_50, all_4_49, n3, n1, simplifying
% 260.96/66.63 | with (148), (150) gives:
% 260.96/66.63 | (153) all_4_49 = all_4_50
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_49, all_4_48, n3, n1, simplifying
% 260.96/66.63 | with (149), (150) gives:
% 260.96/66.63 | (154) all_4_48 = all_4_49
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_53, all_4_48, n3, n1, simplifying
% 260.96/66.63 | with (149), (151) gives:
% 260.96/66.63 | (155) all_4_48 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (154), (155) imply:
% 260.96/66.63 | (156) all_4_49 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (156) implies:
% 260.96/66.63 | (157) all_4_49 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (152), (153) imply:
% 260.96/66.63 | (158) all_4_50 = n4
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (153), (157) imply:
% 260.96/66.63 | (159) all_4_50 = all_4_53
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (158), (159) imply:
% 260.96/66.63 | (160) all_4_53 = n4
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (155), (160) imply:
% 260.96/66.63 | (161) all_4_48 = n4
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (67), (152), (161) imply:
% 260.96/66.63 | (162) sum(n4, n4) = all_4_92
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (72), (158), (160) imply:
% 260.96/66.63 | (163) sum(n4, n4) = all_4_93
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with n8, all_4_92, n4, n4, simplifying with
% 260.96/66.63 | (62), (162) gives:
% 260.96/66.63 | (164) all_4_92 = n8
% 260.96/66.63 |
% 260.96/66.63 | GROUND_INST: instantiating (52) with all_4_93, all_4_92, n4, n4, simplifying
% 260.96/66.63 | with (162), (163) gives:
% 260.96/66.63 | (165) all_4_92 = all_4_93
% 260.96/66.63 |
% 260.96/66.63 | COMBINE_EQS: (164), (165) imply:
% 260.96/66.63 | (166) all_4_93 = n8
% 260.96/66.63 |
% 260.96/66.63 | SIMP: (166) implies:
% 260.96/66.63 | (167) all_4_93 = n8
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (26), (164) imply:
% 260.96/66.63 | (168) pred(n8) = all_4_44
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (42), (167) imply:
% 260.96/66.63 | (169) pred(n8) = all_4_47
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (3), (164) imply:
% 260.96/66.63 | (170) succ(n8) = all_4_46
% 260.96/66.63 |
% 260.96/66.63 | REDUCE: (73), (167) imply:
% 260.96/66.63 | (171) succ(n8) = all_4_43
% 260.96/66.63 |
% 260.96/66.64 | GROUND_INST: instantiating (30) with n9, all_4_43, n8, simplifying with (50),
% 260.96/66.64 | (171) gives:
% 260.96/66.64 | (172) all_4_43 = n9
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (30) with all_4_46, all_4_43, n8, simplifying with
% 260.96/66.64 | (170), (171) gives:
% 260.96/66.64 | (173) all_4_43 = all_4_46
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (69) with n7, all_4_44, n8, simplifying with (16),
% 260.96/66.64 | (168) gives:
% 260.96/66.64 | (174) all_4_44 = n7
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (69) with all_4_47, all_4_44, n8, simplifying with
% 260.96/66.64 | (168), (169) gives:
% 260.96/66.64 | (175) all_4_44 = all_4_47
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (172), (173) imply:
% 260.96/66.64 | (176) all_4_46 = n9
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (174), (175) imply:
% 260.96/66.64 | (177) all_4_47 = n7
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (55), (172), (174) imply:
% 260.96/66.64 | (178) sum(n7, n9) = all_4_42
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (5), (174), (176) imply:
% 260.96/66.64 | (179) sum(n7, n9) = all_4_40
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (24), (172), (177) imply:
% 260.96/66.64 | (180) sum(n7, n9) = all_4_41
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (41), (176), (177) imply:
% 260.96/66.64 | (181) sum(n7, n9) = all_4_45
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with n5, all_4_41, n9, n7, simplifying with
% 260.96/66.64 | (58), (180) gives:
% 260.96/66.64 | (182) all_4_41 = n5
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_42, all_4_41, n9, n7, simplifying
% 260.96/66.64 | with (178), (180) gives:
% 260.96/66.64 | (183) all_4_41 = all_4_42
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_41, all_4_40, n9, n7, simplifying
% 260.96/66.64 | with (179), (180) gives:
% 260.96/66.64 | (184) all_4_40 = all_4_41
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_45, all_4_40, n9, n7, simplifying
% 260.96/66.64 | with (179), (181) gives:
% 260.96/66.64 | (185) all_4_40 = all_4_45
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.64 | (186) all_4_41 = all_4_45
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (186) implies:
% 260.96/66.64 | (187) all_4_41 = all_4_45
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (182), (183) imply:
% 260.96/66.64 | (188) all_4_42 = n5
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (183), (187) imply:
% 260.96/66.64 | (189) all_4_42 = all_4_45
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (188), (189) imply:
% 260.96/66.64 | (190) all_4_45 = n5
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (190) implies:
% 260.96/66.64 | (191) all_4_45 = n5
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (185), (191) imply:
% 260.96/66.64 | (192) all_4_40 = n5
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (46), (182), (192) imply:
% 260.96/66.64 | (193) sum(n5, n5) = all_4_90
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (53), (188), (191) imply:
% 260.96/66.64 | (194) sum(n5, n5) = all_4_91
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with n10, all_4_90, n5, n5, simplifying with
% 260.96/66.64 | (45), (193) gives:
% 260.96/66.64 | (195) all_4_90 = n10
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_91, all_4_90, n5, n5, simplifying
% 260.96/66.64 | with (193), (194) gives:
% 260.96/66.64 | (196) all_4_90 = all_4_91
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (195), (196) imply:
% 260.96/66.64 | (197) all_4_91 = n10
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (197) implies:
% 260.96/66.64 | (198) all_4_91 = n10
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (61), (195) imply:
% 260.96/66.64 | (199) pred(n10) = all_4_36
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (25), (198) imply:
% 260.96/66.64 | (200) pred(n10) = all_4_39
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (20), (195) imply:
% 260.96/66.64 | (201) succ(n10) = all_4_38
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (2), (198) imply:
% 260.96/66.64 | (202) succ(n10) = all_4_35
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (30) with n0, all_4_35, n10, simplifying with (29),
% 260.96/66.64 | (202) gives:
% 260.96/66.64 | (203) all_4_35 = n0
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (30) with all_4_38, all_4_35, n10, simplifying with
% 260.96/66.64 | (201), (202) gives:
% 260.96/66.64 | (204) all_4_35 = all_4_38
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (69) with n9, all_4_36, n10, simplifying with (56),
% 260.96/66.64 | (199) gives:
% 260.96/66.64 | (205) all_4_36 = n9
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (69) with all_4_39, all_4_36, n10, simplifying with
% 260.96/66.64 | (199), (200) gives:
% 260.96/66.64 | (206) all_4_36 = all_4_39
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (203), (204) imply:
% 260.96/66.64 | (207) all_4_38 = n0
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (205), (206) imply:
% 260.96/66.64 | (208) all_4_39 = n9
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (39), (203), (205) imply:
% 260.96/66.64 | (209) sum(n9, n0) = all_4_34
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (65), (205), (207) imply:
% 260.96/66.64 | (210) sum(n9, n0) = all_4_32
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (51), (203), (208) imply:
% 260.96/66.64 | (211) sum(n9, n0) = all_4_33
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (54), (207), (208) imply:
% 260.96/66.64 | (212) sum(n9, n0) = all_4_37
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with n9, all_4_33, n0, n9, simplifying with
% 260.96/66.64 | (6), (211) gives:
% 260.96/66.64 | (213) all_4_33 = n9
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_34, all_4_33, n0, n9, simplifying
% 260.96/66.64 | with (209), (211) gives:
% 260.96/66.64 | (214) all_4_33 = all_4_34
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_33, all_4_32, n0, n9, simplifying
% 260.96/66.64 | with (210), (211) gives:
% 260.96/66.64 | (215) all_4_32 = all_4_33
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with all_4_37, all_4_32, n0, n9, simplifying
% 260.96/66.64 | with (210), (212) gives:
% 260.96/66.64 | (216) all_4_32 = all_4_37
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (215), (216) imply:
% 260.96/66.64 | (217) all_4_33 = all_4_37
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (217) implies:
% 260.96/66.64 | (218) all_4_33 = all_4_37
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (213), (214) imply:
% 260.96/66.64 | (219) all_4_34 = n9
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (214), (218) imply:
% 260.96/66.64 | (220) all_4_34 = all_4_37
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (219), (220) imply:
% 260.96/66.64 | (221) all_4_37 = n9
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (216), (221) imply:
% 260.96/66.64 | (222) all_4_32 = n9
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (23), (213), (222) imply:
% 260.96/66.64 | (223) sum(n9, n9) = all_4_88
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (15), (219), (221) imply:
% 260.96/66.64 | (224) sum(n9, n9) = all_4_89
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with n7, all_4_89, n9, n9, simplifying with
% 260.96/66.64 | (81), (224) gives:
% 260.96/66.64 | (225) all_4_89 = n7
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (52) with n7, all_4_88, n9, n9, simplifying with
% 260.96/66.64 | (81), (223) gives:
% 260.96/66.64 | (226) all_4_88 = n7
% 260.96/66.64 |
% 260.96/66.64 | REF_CLOSE: (19), (36), (75), (104), (107), (134), (136), (164), (167), (195),
% 260.96/66.64 | (198), (225), (226) are inconsistent by sub-proof #194.
% 260.96/66.64 |
% 260.96/66.64 End of proof
% 260.96/66.64
% 260.96/66.64 Sub-proof #82 shows that the following formulas are inconsistent:
% 260.96/66.64 ----------------------------------------------------------------
% 260.96/66.64 (1) pred(n2) = all_4_47
% 260.96/66.64 (2) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.64 (3) all_4_97 = n7
% 260.96/66.64 (4) pred(n2) = all_4_44
% 260.96/66.64 (5) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.64 (6) all_4_96 = n7
% 260.96/66.64 (7) all_4_93 = n2
% 260.96/66.64 (8) pred(n8) = n7
% 260.96/66.64 (9) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.64 (10) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.64 (11) pred(n8) = all_4_36
% 260.96/66.64 (12) all_4_99 = n10
% 260.96/66.64 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.64 | ~ (succ(v2) = v0))
% 260.96/66.64 (14) succ(n8) = all_4_38
% 260.96/66.64 (15) succ(n8) = all_4_35
% 260.96/66.64 (16) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.64 (17) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.64 (18) sum(n5, n5) = n10
% 260.96/66.64 (19) all_4_98 = n10
% 260.96/66.64 (20) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.64 (21) succ(n2) = n3
% 260.96/66.64 (22) all_4_95 = n6
% 260.96/66.64 (23) succ(n8) = n9
% 260.96/66.64 (24) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.64 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.64 (26) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.64 (27) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.64 (28) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.64 (29) sum(n7, n9) = n5
% 260.96/66.64 (30) pred(n2) = n1
% 260.96/66.64 (31) succ(n2) = all_4_43
% 260.96/66.64 (32) sum(n4, n4) = n8
% 260.96/66.64 (33) pred(n8) = all_4_39
% 260.96/66.64 (34) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.64 (35) all_4_92 = n2
% 260.96/66.64 (36) succ(n2) = all_4_46
% 260.96/66.64 (37) sum(n1, n3) = n4
% 260.96/66.64 (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.64 | ~ (pred(v2) = v0))
% 260.96/66.64 (39) all_4_94 = n6
% 260.96/66.64 (40) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.96/66.64 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 260.96/66.64 (all_4_98 = all_4_99)
% 260.96/66.64
% 260.96/66.64 Begin of proof
% 260.96/66.64 |
% 260.96/66.64 | BETA: splitting (40) gives:
% 260.96/66.64 |
% 260.96/66.64 | Case 1:
% 260.96/66.64 | |
% 260.96/66.64 | | (41) ~ (all_4_88 = all_4_89)
% 260.96/66.64 | |
% 260.96/66.64 | | GROUND_INST: instantiating (13) with n9, all_4_35, n8, simplifying with
% 260.96/66.64 | | (15), (23) gives:
% 260.96/66.64 | | (42) all_4_35 = n9
% 260.96/66.64 | |
% 260.96/66.64 | | REF_CLOSE: (5), (8), (9), (11), (13), (14), (15), (16), (18), (24), (25),
% 260.96/66.64 | | (27), (29), (33), (34), (38), (41), (42) are inconsistent by
% 260.96/66.64 | | sub-proof #140.
% 260.96/66.64 | |
% 260.96/66.64 | Case 2:
% 260.96/66.64 | |
% 260.96/66.64 | | (43) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 260.96/66.64 | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.64 | |
% 260.96/66.64 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (12), (13), (17), (19), (20),
% 260.96/66.64 | | (21), (22), (25), (26), (28), (30), (31), (32), (35), (36), (37),
% 260.96/66.64 | | (38), (39), (43) are inconsistent by sub-proof #90.
% 260.96/66.64 | |
% 260.96/66.64 | End of split
% 260.96/66.64 |
% 260.96/66.64 End of proof
% 260.96/66.64
% 260.96/66.64 Sub-proof #83 shows that the following formulas are inconsistent:
% 260.96/66.64 ----------------------------------------------------------------
% 260.96/66.64 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.96/66.64 (2) succ(all_4_95) = all_4_51
% 260.96/66.64 (3) sum(all_4_25, all_4_24) = all_4_86
% 260.96/66.64 (4) succ(all_4_91) = all_4_35
% 260.96/66.64 (5) succ(all_4_92) = all_4_46
% 260.96/66.64 (6) succ(all_4_89) = all_4_27
% 260.96/66.64 (7) pred(all_4_95) = all_4_55
% 260.96/66.64 (8) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.64 (9) sum(all_4_28, all_4_30) = all_4_24
% 260.96/66.64 (10) sum(n9, n0) = n9
% 260.96/66.64 (11) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.64 (12) sum(n3, n3) = n6
% 260.96/66.64 (13) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.64 (14) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.64 (15) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.64 (16) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.64 (17) sum(all_4_31, all_4_27) = all_4_25
% 260.96/66.64 (18) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.64 (19) succ(all_4_94) = all_4_54
% 260.96/66.64 (20) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.64 (21) pred(n8) = n7
% 260.96/66.64 (22) sum(n9, n9) = all_4_99
% 260.96/66.64 (23) pred(all_4_99) = all_4_71
% 260.96/66.64 (24) all_4_98 = n7
% 260.96/66.64 (25) succ(all_4_90) = all_4_38
% 260.96/66.64 (26) sum(n6, n8) = n3
% 260.96/66.64 (27) pred(all_4_88) = all_4_28
% 260.96/66.64 (28) sum(all_4_31, all_4_30) = all_4_29
% 260.96/66.64 (29) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.64 (30) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.64 (31) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.64 (32) sum(all_4_29, all_4_26) = all_4_87
% 260.96/66.64 (33) pred(all_4_91) = all_4_39
% 260.96/66.64 (34) pred(all_4_89) = all_4_31
% 260.96/66.64 (35) pred(all_4_92) = all_4_44
% 260.96/66.64 (36) sum(n5, n7) = n1
% 260.96/66.64 (37) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.64 (38) succ(n10) = n0
% 260.96/66.64 (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.64 | ~ (succ(v2) = v0))
% 260.96/66.64 (40) pred(all_4_97) = all_4_63
% 260.96/66.64 (41) succ(all_4_99) = all_4_67
% 260.96/66.64 (42) pred(n6) = n5
% 260.96/66.64 (43) pred(all_4_96) = all_4_60
% 260.96/66.64 (44) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 260.96/66.64 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 260.96/66.64 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.64 (45) succ(all_4_96) = all_4_62
% 260.96/66.64 (46) all_4_99 = n7
% 260.96/66.64 (47) succ(all_4_88) = all_4_30
% 260.96/66.64 (48) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.64 (49) pred(n7) = n6
% 260.96/66.64 (50) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.64 (51) succ(n7) = n8
% 260.96/66.64 (52) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.64 (53) pred(all_4_93) = all_4_47
% 260.96/66.64 (54) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.64 (55) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.64 (56) sum(n5, n5) = n10
% 260.96/66.64 (57) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.64 (58) succ(n2) = n3
% 260.96/66.64 (59) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.64 (60) succ(n6) = n7
% 260.96/66.64 (61) succ(n8) = n9
% 260.96/66.64 (62) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.64 (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.64 (64) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.64 (65) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.64 (66) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.64 (67) pred(n10) = n9
% 260.96/66.64 (68) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.64 (69) sum(n7, n9) = n5
% 260.96/66.64 (70) pred(n2) = n1
% 260.96/66.64 (71) succ(all_4_98) = all_4_70
% 260.96/66.64 (72) pred(all_4_90) = all_4_36
% 260.96/66.64 (73) sum(n4, n4) = n8
% 260.96/66.64 (74) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.64 (75) succ(all_4_97) = all_4_59
% 260.96/66.64 (76) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.64 (77) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.64 (78) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.64 (79) sum(n1, n3) = n4
% 260.96/66.64 (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.64 | ~ (pred(v2) = v0))
% 260.96/66.64 (81) sum(n1, n1) = n2
% 260.96/66.64 (82) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.64 (83) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.64 (84) succ(all_4_93) = all_4_43
% 260.96/66.64 (85) pred(all_4_98) = all_4_68
% 260.96/66.64 (86) pred(all_4_94) = all_4_52
% 260.96/66.64
% 260.96/66.64 Begin of proof
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (24), (85) imply:
% 260.96/66.64 | (87) pred(n7) = all_4_68
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (23), (46) imply:
% 260.96/66.64 | (88) pred(n7) = all_4_71
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (24), (71) imply:
% 260.96/66.64 | (89) succ(n7) = all_4_70
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (41), (46) imply:
% 260.96/66.64 | (90) succ(n7) = all_4_67
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (22), (46) imply:
% 260.96/66.64 | (91) sum(n9, n9) = n7
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with n8, all_4_67, n7, simplifying with (51),
% 260.96/66.64 | (90) gives:
% 260.96/66.64 | (92) all_4_67 = n8
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.64 | (89), (90) gives:
% 260.96/66.64 | (93) all_4_67 = all_4_70
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with n6, all_4_68, n7, simplifying with (49),
% 260.96/66.64 | (87) gives:
% 260.96/66.64 | (94) all_4_68 = n6
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.64 | (87), (88) gives:
% 260.96/66.64 | (95) all_4_68 = all_4_71
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (92), (93) imply:
% 260.96/66.64 | (96) all_4_70 = n8
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (94), (95) imply:
% 260.96/66.64 | (97) all_4_71 = n6
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (59), (92), (94) imply:
% 260.96/66.64 | (98) sum(n6, n8) = all_4_66
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (74), (94), (96) imply:
% 260.96/66.64 | (99) sum(n6, n8) = all_4_64
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (54), (92), (97) imply:
% 260.96/66.64 | (100) sum(n6, n8) = all_4_65
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (14), (96), (97) imply:
% 260.96/66.64 | (101) sum(n6, n8) = all_4_69
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.64 | (26), (100) gives:
% 260.96/66.64 | (102) all_4_65 = n3
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.64 | with (98), (100) gives:
% 260.96/66.64 | (103) all_4_65 = all_4_66
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.64 | with (98), (99) gives:
% 260.96/66.64 | (104) all_4_64 = all_4_66
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.64 | with (99), (101) gives:
% 260.96/66.64 | (105) all_4_64 = all_4_69
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (104), (105) imply:
% 260.96/66.64 | (106) all_4_66 = all_4_69
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (106) implies:
% 260.96/66.64 | (107) all_4_66 = all_4_69
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (102), (103) imply:
% 260.96/66.64 | (108) all_4_66 = n3
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (108) implies:
% 260.96/66.64 | (109) all_4_66 = n3
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (107), (109) imply:
% 260.96/66.64 | (110) all_4_69 = n3
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (105), (110) imply:
% 260.96/66.64 | (111) all_4_64 = n3
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (37), (102), (111) imply:
% 260.96/66.64 | (112) sum(n3, n3) = all_4_96
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (68), (109), (110) imply:
% 260.96/66.64 | (113) sum(n3, n3) = all_4_97
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.64 | (12), (112) gives:
% 260.96/66.64 | (114) all_4_96 = n6
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.64 | with (112), (113) gives:
% 260.96/66.64 | (115) all_4_96 = all_4_97
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (114), (115) imply:
% 260.96/66.64 | (116) all_4_97 = n6
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (116) implies:
% 260.96/66.64 | (117) all_4_97 = n6
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (43), (114) imply:
% 260.96/66.64 | (118) pred(n6) = all_4_60
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (40), (117) imply:
% 260.96/66.64 | (119) pred(n6) = all_4_63
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (45), (114) imply:
% 260.96/66.64 | (120) succ(n6) = all_4_62
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (75), (117) imply:
% 260.96/66.64 | (121) succ(n6) = all_4_59
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with n7, all_4_59, n6, simplifying with (60),
% 260.96/66.64 | (121) gives:
% 260.96/66.64 | (122) all_4_59 = n7
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.64 | (120), (121) gives:
% 260.96/66.64 | (123) all_4_59 = all_4_62
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with n5, all_4_60, n6, simplifying with (42),
% 260.96/66.64 | (118) gives:
% 260.96/66.64 | (124) all_4_60 = n5
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.64 | (118), (119) gives:
% 260.96/66.64 | (125) all_4_60 = all_4_63
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (122), (123) imply:
% 260.96/66.64 | (126) all_4_62 = n7
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (124), (125) imply:
% 260.96/66.64 | (127) all_4_63 = n5
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (55), (122), (124) imply:
% 260.96/66.64 | (128) sum(n5, n7) = all_4_58
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (13), (124), (126) imply:
% 260.96/66.64 | (129) sum(n5, n7) = all_4_56
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (16), (122), (127) imply:
% 260.96/66.64 | (130) sum(n5, n7) = all_4_57
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (18), (126), (127) imply:
% 260.96/66.64 | (131) sum(n5, n7) = all_4_61
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.64 | (36), (130) gives:
% 260.96/66.64 | (132) all_4_57 = n1
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.64 | with (128), (130) gives:
% 260.96/66.64 | (133) all_4_57 = all_4_58
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.64 | with (129), (130) gives:
% 260.96/66.64 | (134) all_4_56 = all_4_57
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.64 | with (129), (131) gives:
% 260.96/66.64 | (135) all_4_56 = all_4_61
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (134), (135) imply:
% 260.96/66.64 | (136) all_4_57 = all_4_61
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (136) implies:
% 260.96/66.64 | (137) all_4_57 = all_4_61
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (132), (133) imply:
% 260.96/66.64 | (138) all_4_58 = n1
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (133), (137) imply:
% 260.96/66.64 | (139) all_4_58 = all_4_61
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (138), (139) imply:
% 260.96/66.64 | (140) all_4_61 = n1
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (135), (140) imply:
% 260.96/66.64 | (141) all_4_56 = n1
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (29), (132), (141) imply:
% 260.96/66.64 | (142) sum(n1, n1) = all_4_94
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (77), (138), (140) imply:
% 260.96/66.64 | (143) sum(n1, n1) = all_4_95
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.64 | (81), (142) gives:
% 260.96/66.64 | (144) all_4_94 = n2
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_95, all_4_94, n1, n1, simplifying
% 260.96/66.64 | with (142), (143) gives:
% 260.96/66.64 | (145) all_4_94 = all_4_95
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (144), (145) imply:
% 260.96/66.64 | (146) all_4_95 = n2
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (86), (144) imply:
% 260.96/66.64 | (147) pred(n2) = all_4_52
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (7), (146) imply:
% 260.96/66.64 | (148) pred(n2) = all_4_55
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (19), (144) imply:
% 260.96/66.64 | (149) succ(n2) = all_4_54
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (2), (146) imply:
% 260.96/66.64 | (150) succ(n2) = all_4_51
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with n3, all_4_51, n2, simplifying with (58),
% 260.96/66.64 | (150) gives:
% 260.96/66.64 | (151) all_4_51 = n3
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with all_4_54, all_4_51, n2, simplifying with
% 260.96/66.64 | (149), (150) gives:
% 260.96/66.64 | (152) all_4_51 = all_4_54
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with n1, all_4_52, n2, simplifying with (70),
% 260.96/66.64 | (147) gives:
% 260.96/66.64 | (153) all_4_52 = n1
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with all_4_55, all_4_52, n2, simplifying with
% 260.96/66.64 | (147), (148) gives:
% 260.96/66.64 | (154) all_4_52 = all_4_55
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (151), (152) imply:
% 260.96/66.64 | (155) all_4_54 = n3
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (153), (154) imply:
% 260.96/66.64 | (156) all_4_55 = n1
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (156) implies:
% 260.96/66.64 | (157) all_4_55 = n1
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (82), (151), (153) imply:
% 260.96/66.64 | (158) sum(n1, n3) = all_4_50
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (11), (153), (155) imply:
% 260.96/66.64 | (159) sum(n1, n3) = all_4_48
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (48), (151), (157) imply:
% 260.96/66.64 | (160) sum(n1, n3) = all_4_49
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (15), (155), (157) imply:
% 260.96/66.64 | (161) sum(n1, n3) = all_4_53
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with n4, all_4_49, n3, n1, simplifying with
% 260.96/66.64 | (79), (160) gives:
% 260.96/66.64 | (162) all_4_49 = n4
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_50, all_4_49, n3, n1, simplifying
% 260.96/66.64 | with (158), (160) gives:
% 260.96/66.64 | (163) all_4_49 = all_4_50
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_49, all_4_48, n3, n1, simplifying
% 260.96/66.64 | with (159), (160) gives:
% 260.96/66.64 | (164) all_4_48 = all_4_49
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_53, all_4_48, n3, n1, simplifying
% 260.96/66.64 | with (159), (161) gives:
% 260.96/66.64 | (165) all_4_48 = all_4_53
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (164), (165) imply:
% 260.96/66.64 | (166) all_4_49 = all_4_53
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (166) implies:
% 260.96/66.64 | (167) all_4_49 = all_4_53
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (162), (163) imply:
% 260.96/66.64 | (168) all_4_50 = n4
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (163), (167) imply:
% 260.96/66.64 | (169) all_4_50 = all_4_53
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (168), (169) imply:
% 260.96/66.64 | (170) all_4_53 = n4
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (165), (170) imply:
% 260.96/66.64 | (171) all_4_48 = n4
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (78), (162), (171) imply:
% 260.96/66.64 | (172) sum(n4, n4) = all_4_92
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (83), (168), (170) imply:
% 260.96/66.64 | (173) sum(n4, n4) = all_4_93
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with n8, all_4_92, n4, n4, simplifying with
% 260.96/66.64 | (73), (172) gives:
% 260.96/66.64 | (174) all_4_92 = n8
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (63) with all_4_93, all_4_92, n4, n4, simplifying
% 260.96/66.64 | with (172), (173) gives:
% 260.96/66.64 | (175) all_4_92 = all_4_93
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (174), (175) imply:
% 260.96/66.64 | (176) all_4_93 = n8
% 260.96/66.64 |
% 260.96/66.64 | SIMP: (176) implies:
% 260.96/66.64 | (177) all_4_93 = n8
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (35), (174) imply:
% 260.96/66.64 | (178) pred(n8) = all_4_44
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (53), (177) imply:
% 260.96/66.64 | (179) pred(n8) = all_4_47
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (5), (174) imply:
% 260.96/66.64 | (180) succ(n8) = all_4_46
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (84), (177) imply:
% 260.96/66.64 | (181) succ(n8) = all_4_43
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with n9, all_4_43, n8, simplifying with (61),
% 260.96/66.64 | (181) gives:
% 260.96/66.64 | (182) all_4_43 = n9
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (39) with all_4_46, all_4_43, n8, simplifying with
% 260.96/66.64 | (180), (181) gives:
% 260.96/66.64 | (183) all_4_43 = all_4_46
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with n7, all_4_44, n8, simplifying with (21),
% 260.96/66.64 | (178) gives:
% 260.96/66.64 | (184) all_4_44 = n7
% 260.96/66.64 |
% 260.96/66.64 | GROUND_INST: instantiating (80) with all_4_47, all_4_44, n8, simplifying with
% 260.96/66.64 | (178), (179) gives:
% 260.96/66.64 | (185) all_4_44 = all_4_47
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (182), (183) imply:
% 260.96/66.64 | (186) all_4_46 = n9
% 260.96/66.64 |
% 260.96/66.64 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.64 | (187) all_4_47 = n7
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (66), (182), (184) imply:
% 260.96/66.64 | (188) sum(n7, n9) = all_4_42
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (8), (184), (186) imply:
% 260.96/66.64 | (189) sum(n7, n9) = all_4_40
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (31), (182), (187) imply:
% 260.96/66.64 | (190) sum(n7, n9) = all_4_41
% 260.96/66.64 |
% 260.96/66.64 | REDUCE: (52), (186), (187) imply:
% 260.96/66.64 | (191) sum(n7, n9) = all_4_45
% 260.96/66.64 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n5, all_4_41, n9, n7, simplifying with
% 260.96/66.65 | (69), (190) gives:
% 260.96/66.65 | (192) all_4_41 = n5
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_42, all_4_41, n9, n7, simplifying
% 260.96/66.65 | with (188), (190) gives:
% 260.96/66.65 | (193) all_4_41 = all_4_42
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_41, all_4_40, n9, n7, simplifying
% 260.96/66.65 | with (189), (190) gives:
% 260.96/66.65 | (194) all_4_40 = all_4_41
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_45, all_4_40, n9, n7, simplifying
% 260.96/66.65 | with (189), (191) gives:
% 260.96/66.65 | (195) all_4_40 = all_4_45
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (194), (195) imply:
% 260.96/66.65 | (196) all_4_41 = all_4_45
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (196) implies:
% 260.96/66.65 | (197) all_4_41 = all_4_45
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (192), (193) imply:
% 260.96/66.65 | (198) all_4_42 = n5
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (193), (197) imply:
% 260.96/66.65 | (199) all_4_42 = all_4_45
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (198), (199) imply:
% 260.96/66.65 | (200) all_4_45 = n5
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (200) implies:
% 260.96/66.65 | (201) all_4_45 = n5
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (195), (201) imply:
% 260.96/66.65 | (202) all_4_40 = n5
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (57), (192), (202) imply:
% 260.96/66.65 | (203) sum(n5, n5) = all_4_90
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (64), (198), (201) imply:
% 260.96/66.65 | (204) sum(n5, n5) = all_4_91
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n10, all_4_90, n5, n5, simplifying with
% 260.96/66.65 | (56), (203) gives:
% 260.96/66.65 | (205) all_4_90 = n10
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_91, all_4_90, n5, n5, simplifying
% 260.96/66.65 | with (203), (204) gives:
% 260.96/66.65 | (206) all_4_90 = all_4_91
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (205), (206) imply:
% 260.96/66.65 | (207) all_4_91 = n10
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (207) implies:
% 260.96/66.65 | (208) all_4_91 = n10
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (72), (205) imply:
% 260.96/66.65 | (209) pred(n10) = all_4_36
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (33), (208) imply:
% 260.96/66.65 | (210) pred(n10) = all_4_39
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (25), (205) imply:
% 260.96/66.65 | (211) succ(n10) = all_4_38
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (4), (208) imply:
% 260.96/66.65 | (212) succ(n10) = all_4_35
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (39) with n0, all_4_35, n10, simplifying with (38),
% 260.96/66.65 | (212) gives:
% 260.96/66.65 | (213) all_4_35 = n0
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (39) with all_4_38, all_4_35, n10, simplifying with
% 260.96/66.65 | (211), (212) gives:
% 260.96/66.65 | (214) all_4_35 = all_4_38
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (80) with n9, all_4_36, n10, simplifying with (67),
% 260.96/66.65 | (209) gives:
% 260.96/66.65 | (215) all_4_36 = n9
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (80) with all_4_39, all_4_36, n10, simplifying with
% 260.96/66.65 | (209), (210) gives:
% 260.96/66.65 | (216) all_4_36 = all_4_39
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (213), (214) imply:
% 260.96/66.65 | (217) all_4_38 = n0
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (215), (216) imply:
% 260.96/66.65 | (218) all_4_39 = n9
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (50), (213), (215) imply:
% 260.96/66.65 | (219) sum(n9, n0) = all_4_34
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (76), (215), (217) imply:
% 260.96/66.65 | (220) sum(n9, n0) = all_4_32
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (62), (213), (218) imply:
% 260.96/66.65 | (221) sum(n9, n0) = all_4_33
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (65), (217), (218) imply:
% 260.96/66.65 | (222) sum(n9, n0) = all_4_37
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n9, all_4_33, n0, n9, simplifying with
% 260.96/66.65 | (10), (221) gives:
% 260.96/66.65 | (223) all_4_33 = n9
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_34, all_4_33, n0, n9, simplifying
% 260.96/66.65 | with (219), (221) gives:
% 260.96/66.65 | (224) all_4_33 = all_4_34
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_33, all_4_32, n0, n9, simplifying
% 260.96/66.65 | with (220), (221) gives:
% 260.96/66.65 | (225) all_4_32 = all_4_33
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_37, all_4_32, n0, n9, simplifying
% 260.96/66.65 | with (220), (222) gives:
% 260.96/66.65 | (226) all_4_32 = all_4_37
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (225), (226) imply:
% 260.96/66.65 | (227) all_4_33 = all_4_37
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (227) implies:
% 260.96/66.65 | (228) all_4_33 = all_4_37
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (223), (224) imply:
% 260.96/66.65 | (229) all_4_34 = n9
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (224), (228) imply:
% 260.96/66.65 | (230) all_4_34 = all_4_37
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (229), (230) imply:
% 260.96/66.65 | (231) all_4_37 = n9
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (226), (231) imply:
% 260.96/66.65 | (232) all_4_32 = n9
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (30), (223), (232) imply:
% 260.96/66.65 | (233) sum(n9, n9) = all_4_88
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (20), (229), (231) imply:
% 260.96/66.65 | (234) sum(n9, n9) = all_4_89
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n7, all_4_88, n9, n9, simplifying with
% 260.96/66.65 | (91), (233) gives:
% 260.96/66.65 | (235) all_4_88 = n7
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_89, all_4_88, n9, n9, simplifying
% 260.96/66.65 | with (233), (234) gives:
% 260.96/66.65 | (236) all_4_88 = all_4_89
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (235), (236) imply:
% 260.96/66.65 | (237) all_4_89 = n7
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (27), (235) imply:
% 260.96/66.65 | (238) pred(n7) = all_4_28
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (34), (237) imply:
% 260.96/66.65 | (239) pred(n7) = all_4_31
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (47), (235) imply:
% 260.96/66.65 | (240) succ(n7) = all_4_30
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (6), (237) imply:
% 260.96/66.65 | (241) succ(n7) = all_4_27
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (39) with n8, all_4_27, n7, simplifying with (51),
% 260.96/66.65 | (241) gives:
% 260.96/66.65 | (242) all_4_27 = n8
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (39) with all_4_30, all_4_27, n7, simplifying with
% 260.96/66.65 | (240), (241) gives:
% 260.96/66.65 | (243) all_4_27 = all_4_30
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (80) with n6, all_4_28, n7, simplifying with (49),
% 260.96/66.65 | (238) gives:
% 260.96/66.65 | (244) all_4_28 = n6
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (80) with all_4_31, all_4_28, n7, simplifying with
% 260.96/66.65 | (238), (239) gives:
% 260.96/66.65 | (245) all_4_28 = all_4_31
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (242), (243) imply:
% 260.96/66.65 | (246) all_4_30 = n8
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (244), (245) imply:
% 260.96/66.65 | (247) all_4_31 = n6
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (1), (242), (244) imply:
% 260.96/66.65 | (248) sum(n6, n8) = all_4_26
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (9), (244), (246) imply:
% 260.96/66.65 | (249) sum(n6, n8) = all_4_24
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (17), (242), (247) imply:
% 260.96/66.65 | (250) sum(n6, n8) = all_4_25
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (28), (246), (247) imply:
% 260.96/66.65 | (251) sum(n6, n8) = all_4_29
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n3, all_4_25, n8, n6, simplifying with
% 260.96/66.65 | (26), (250) gives:
% 260.96/66.65 | (252) all_4_25 = n3
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_26, all_4_25, n8, n6, simplifying
% 260.96/66.65 | with (248), (250) gives:
% 260.96/66.65 | (253) all_4_25 = all_4_26
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_25, all_4_24, n8, n6, simplifying
% 260.96/66.65 | with (249), (250) gives:
% 260.96/66.65 | (254) all_4_24 = all_4_25
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with all_4_29, all_4_24, n8, n6, simplifying
% 260.96/66.65 | with (249), (251) gives:
% 260.96/66.65 | (255) all_4_24 = all_4_29
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (254), (255) imply:
% 260.96/66.65 | (256) all_4_25 = all_4_29
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (256) implies:
% 260.96/66.65 | (257) all_4_25 = all_4_29
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (252), (253) imply:
% 260.96/66.65 | (258) all_4_26 = n3
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (253), (257) imply:
% 260.96/66.65 | (259) all_4_26 = all_4_29
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (258), (259) imply:
% 260.96/66.65 | (260) all_4_29 = n3
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (255), (260) imply:
% 260.96/66.65 | (261) all_4_24 = n3
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (3), (252), (261) imply:
% 260.96/66.65 | (262) sum(n3, n3) = all_4_86
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (32), (258), (260) imply:
% 260.96/66.65 | (263) sum(n3, n3) = all_4_87
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n6, all_4_87, n3, n3, simplifying with
% 260.96/66.65 | (12), (263) gives:
% 260.96/66.65 | (264) all_4_87 = n6
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (63) with n6, all_4_86, n3, n3, simplifying with
% 260.96/66.65 | (12), (262) gives:
% 260.96/66.65 | (265) all_4_86 = n6
% 260.96/66.65 |
% 260.96/66.65 | REF_CLOSE: (24), (44), (46), (114), (117), (144), (146), (174), (177), (205),
% 260.96/66.65 | (208), (235), (237), (264), (265) are inconsistent by sub-proof
% 260.96/66.65 | #193.
% 260.96/66.65 |
% 260.96/66.65 End of proof
% 260.96/66.65
% 260.96/66.65 Sub-proof #84 shows that the following formulas are inconsistent:
% 260.96/66.65 ----------------------------------------------------------------
% 260.96/66.65 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.96/66.65 (2) sum(all_4_25, all_4_24) = all_4_86
% 260.96/66.65 (3) succ(n1) = n2
% 260.96/66.65 (4) sum(n2, n2) = n4
% 260.96/66.65 (5) sum(all_4_28, all_4_30) = all_4_24
% 260.96/66.65 (6) sum(n2, n4) = n6
% 260.96/66.65 (7) sum(all_4_31, all_4_27) = all_4_25
% 260.96/66.65 (8) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.65 (9) all_4_94 = n5
% 260.96/66.65 (10) succ(n1) = all_4_27
% 260.96/66.65 (11) all_4_97 = n4
% 260.96/66.65 (12) pred(n1) = all_4_28
% 260.96/66.65 (13) all_4_96 = n4
% 260.96/66.65 (14) sum(all_4_31, all_4_30) = all_4_29
% 260.96/66.65 (15) sum(n0, n2) = n2
% 260.96/66.65 (16) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.65 (17) sum(all_4_29, all_4_26) = all_4_87
% 260.96/66.65 (18) pred(n3) = all_4_39
% 260.96/66.65 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.65 | ~ (succ(v2) = v0))
% 260.96/66.65 (20) succ(n3) = n4
% 260.96/66.65 (21) pred(n3) = all_4_36
% 260.96/66.65 (22) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 260.96/66.65 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 260.96/66.65 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 260.96/66.65 (23) pred(n3) = n2
% 260.96/66.65 (24) all_4_92 = n9
% 260.96/66.65 (25) all_4_90 = n3
% 260.96/66.65 (26) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.65 (27) all_4_93 = n9
% 260.96/66.65 (28) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.65 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.65 (30) succ(n1) = all_4_30
% 260.96/66.65 (31) succ(n3) = all_4_35
% 260.96/66.65 (32) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.65 (33) sum(n6, n6) = n1
% 260.96/66.65 (34) succ(n3) = all_4_38
% 260.96/66.65 (35) pred(n1) = all_4_31
% 260.96/66.65 (36) all_4_99 = n1
% 260.96/66.65 (37) pred(n1) = n0
% 260.96/66.65 (38) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.65 (39) all_4_98 = n1
% 260.96/66.65 (40) all_4_95 = n5
% 260.96/66.65 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.65 | ~ (pred(v2) = v0))
% 260.96/66.65 (42) all_4_91 = n3
% 260.96/66.65
% 260.96/66.65 Begin of proof
% 260.96/66.65 |
% 260.96/66.65 | BETA: splitting (22) gives:
% 260.96/66.65 |
% 260.96/66.65 | Case 1:
% 260.96/66.65 | |
% 260.96/66.65 | | (43) ~ (all_4_86 = all_4_87)
% 260.96/66.65 | |
% 260.96/66.65 | | GROUND_INST: instantiating (19) with n2, all_4_27, n1, simplifying with (3),
% 260.96/66.65 | | (10) gives:
% 260.96/66.65 | | (44) all_4_27 = n2
% 260.96/66.65 | |
% 260.96/66.65 | | REF_CLOSE: (1), (2), (4), (5), (7), (10), (12), (14), (15), (17), (19),
% 260.96/66.65 | | (29), (30), (35), (37), (41), (43), (44) are inconsistent by
% 260.96/66.65 | | sub-proof #156.
% 260.96/66.65 | |
% 260.96/66.65 | Case 2:
% 260.96/66.65 | |
% 260.96/66.65 | | (45) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 260.96/66.65 | | all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 260.96/66.65 | | ~ (all_4_98 = all_4_99)
% 260.96/66.65 | |
% 260.96/66.65 | | REF_CLOSE: (6), (8), (9), (11), (13), (16), (18), (19), (20), (21), (23),
% 260.96/66.65 | | (24), (25), (26), (27), (28), (29), (31), (32), (33), (34), (36),
% 260.96/66.65 | | (38), (39), (40), (41), (42), (45) are inconsistent by sub-proof
% 260.96/66.65 | | #91.
% 260.96/66.65 | |
% 260.96/66.65 | End of split
% 260.96/66.65 |
% 260.96/66.65 End of proof
% 260.96/66.65
% 260.96/66.65 Sub-proof #85 shows that the following formulas are inconsistent:
% 260.96/66.65 ----------------------------------------------------------------
% 260.96/66.65 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.96/66.65 (2) succ(all_4_95) = all_4_51
% 260.96/66.65 (3) succ(all_4_87) = all_4_19
% 260.96/66.65 (4) sum(all_4_25, all_4_24) = all_4_86
% 260.96/66.65 (5) succ(all_4_91) = all_4_35
% 260.96/66.65 (6) sum(all_4_21, all_4_18) = all_4_85
% 260.96/66.65 (7) succ(all_4_92) = all_4_46
% 260.96/66.65 (8) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~ (all_4_88 =
% 260.96/66.65 all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 260.96/66.65 (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 260.96/66.65 all_4_99)
% 260.96/66.65 (9) sum(all_4_23, all_4_19) = all_4_17
% 260.96/66.65 (10) succ(all_4_89) = all_4_27
% 260.96/66.65 (11) pred(all_4_95) = all_4_55
% 260.96/66.65 (12) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.65 (13) sum(all_4_28, all_4_30) = all_4_24
% 260.96/66.65 (14) sum(all_4_20, all_4_19) = all_4_18
% 260.96/66.65 (15) sum(n9, n0) = n9
% 260.96/66.65 (16) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.65 (17) sum(n3, n3) = n6
% 260.96/66.65 (18) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.65 (19) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.65 (20) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.65 (21) sum(all_4_23, all_4_22) = all_4_21
% 260.96/66.65 (22) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.65 (23) sum(all_4_31, all_4_27) = all_4_25
% 260.96/66.65 (24) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.65 (25) succ(all_4_94) = all_4_54
% 260.96/66.65 (26) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.65 (27) succ(all_4_86) = all_4_22
% 260.96/66.65 (28) pred(n8) = n7
% 260.96/66.65 (29) sum(n9, n9) = all_4_99
% 260.96/66.65 (30) pred(all_4_99) = all_4_71
% 260.96/66.65 (31) pred(all_4_86) = all_4_20
% 260.96/66.65 (32) all_4_98 = n7
% 260.96/66.65 (33) succ(all_4_90) = all_4_38
% 260.96/66.65 (34) sum(n6, n8) = n3
% 260.96/66.65 (35) pred(all_4_88) = all_4_28
% 260.96/66.65 (36) sum(all_4_31, all_4_30) = all_4_29
% 260.96/66.65 (37) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.65 (38) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.65 (39) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.65 (40) sum(all_4_29, all_4_26) = all_4_87
% 260.96/66.65 (41) pred(all_4_91) = all_4_39
% 260.96/66.65 (42) pred(all_4_89) = all_4_31
% 260.96/66.65 (43) pred(all_4_92) = all_4_44
% 260.96/66.65 (44) sum(n5, n7) = n1
% 260.96/66.65 (45) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.65 (46) succ(n10) = n0
% 260.96/66.65 (47) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.65 | ~ (succ(v2) = v0))
% 260.96/66.65 (48) pred(all_4_97) = all_4_63
% 260.96/66.65 (49) succ(all_4_99) = all_4_67
% 260.96/66.65 (50) pred(n6) = n5
% 260.96/66.65 (51) pred(all_4_96) = all_4_60
% 260.96/66.65 (52) succ(all_4_96) = all_4_62
% 260.96/66.65 (53) all_4_99 = n7
% 260.96/66.65 (54) succ(all_4_88) = all_4_30
% 260.96/66.65 (55) sum(all_4_20, all_4_22) = all_4_16
% 260.96/66.65 (56) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.65 (57) pred(n7) = n6
% 260.96/66.65 (58) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.65 (59) succ(n7) = n8
% 260.96/66.65 (60) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.65 (61) pred(all_4_93) = all_4_47
% 260.96/66.65 (62) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.65 (63) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.65 (64) sum(n5, n5) = n10
% 260.96/66.65 (65) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.65 (66) succ(n2) = n3
% 260.96/66.65 (67) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.65 (68) succ(n6) = n7
% 260.96/66.65 (69) succ(n8) = n9
% 260.96/66.65 (70) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.65 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.65 (72) pred(all_4_87) = all_4_23
% 260.96/66.65 (73) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.65 (74) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.65 (75) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.65 (76) pred(n10) = n9
% 260.96/66.65 (77) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.65 (78) sum(n7, n9) = n5
% 260.96/66.65 (79) sum(all_4_17, all_4_16) = all_4_84
% 260.96/66.65 (80) pred(n2) = n1
% 260.96/66.65 (81) succ(all_4_98) = all_4_70
% 260.96/66.65 (82) pred(all_4_90) = all_4_36
% 260.96/66.65 (83) sum(n4, n4) = n8
% 260.96/66.65 (84) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.65 (85) succ(all_4_97) = all_4_59
% 260.96/66.65 (86) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.65 (87) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.65 (88) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.65 (89) sum(n1, n3) = n4
% 260.96/66.65 (90) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.65 | ~ (pred(v2) = v0))
% 260.96/66.65 (91) sum(n1, n1) = n2
% 260.96/66.65 (92) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.65 (93) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.65 (94) succ(all_4_93) = all_4_43
% 260.96/66.65 (95) pred(all_4_98) = all_4_68
% 260.96/66.65 (96) pred(all_4_94) = all_4_52
% 260.96/66.65
% 260.96/66.65 Begin of proof
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (32), (95) imply:
% 260.96/66.65 | (97) pred(n7) = all_4_68
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (30), (53) imply:
% 260.96/66.65 | (98) pred(n7) = all_4_71
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (32), (81) imply:
% 260.96/66.65 | (99) succ(n7) = all_4_70
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (49), (53) imply:
% 260.96/66.65 | (100) succ(n7) = all_4_67
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (29), (53) imply:
% 260.96/66.65 | (101) sum(n9, n9) = n7
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (47) with n8, all_4_67, n7, simplifying with (59),
% 260.96/66.65 | (100) gives:
% 260.96/66.65 | (102) all_4_67 = n8
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (47) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.65 | (99), (100) gives:
% 260.96/66.65 | (103) all_4_67 = all_4_70
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (90) with n6, all_4_68, n7, simplifying with (57),
% 260.96/66.65 | (97) gives:
% 260.96/66.65 | (104) all_4_68 = n6
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (90) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.65 | (97), (98) gives:
% 260.96/66.65 | (105) all_4_68 = all_4_71
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (102), (103) imply:
% 260.96/66.65 | (106) all_4_70 = n8
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (104), (105) imply:
% 260.96/66.65 | (107) all_4_71 = n6
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (67), (102), (104) imply:
% 260.96/66.65 | (108) sum(n6, n8) = all_4_66
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (84), (104), (106) imply:
% 260.96/66.65 | (109) sum(n6, n8) = all_4_64
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (62), (102), (107) imply:
% 260.96/66.65 | (110) sum(n6, n8) = all_4_65
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (19), (106), (107) imply:
% 260.96/66.65 | (111) sum(n6, n8) = all_4_69
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.65 | (34), (110) gives:
% 260.96/66.65 | (112) all_4_65 = n3
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.65 | with (108), (110) gives:
% 260.96/66.65 | (113) all_4_65 = all_4_66
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.65 | with (108), (109) gives:
% 260.96/66.65 | (114) all_4_64 = all_4_66
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.65 | with (109), (111) gives:
% 260.96/66.65 | (115) all_4_64 = all_4_69
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (114), (115) imply:
% 260.96/66.65 | (116) all_4_66 = all_4_69
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (116) implies:
% 260.96/66.65 | (117) all_4_66 = all_4_69
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (112), (113) imply:
% 260.96/66.65 | (118) all_4_66 = n3
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (118) implies:
% 260.96/66.65 | (119) all_4_66 = n3
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (117), (119) imply:
% 260.96/66.65 | (120) all_4_69 = n3
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (115), (120) imply:
% 260.96/66.65 | (121) all_4_64 = n3
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (45), (112), (121) imply:
% 260.96/66.65 | (122) sum(n3, n3) = all_4_96
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (77), (119), (120) imply:
% 260.96/66.65 | (123) sum(n3, n3) = all_4_97
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.65 | (17), (122) gives:
% 260.96/66.65 | (124) all_4_96 = n6
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.65 | with (122), (123) gives:
% 260.96/66.65 | (125) all_4_96 = all_4_97
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (124), (125) imply:
% 260.96/66.65 | (126) all_4_97 = n6
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (126) implies:
% 260.96/66.65 | (127) all_4_97 = n6
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (51), (124) imply:
% 260.96/66.65 | (128) pred(n6) = all_4_60
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (48), (127) imply:
% 260.96/66.65 | (129) pred(n6) = all_4_63
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (52), (124) imply:
% 260.96/66.65 | (130) succ(n6) = all_4_62
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (85), (127) imply:
% 260.96/66.65 | (131) succ(n6) = all_4_59
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (47) with n7, all_4_59, n6, simplifying with (68),
% 260.96/66.65 | (131) gives:
% 260.96/66.65 | (132) all_4_59 = n7
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (47) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.65 | (130), (131) gives:
% 260.96/66.65 | (133) all_4_59 = all_4_62
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (90) with n5, all_4_60, n6, simplifying with (50),
% 260.96/66.65 | (128) gives:
% 260.96/66.65 | (134) all_4_60 = n5
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (90) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.65 | (128), (129) gives:
% 260.96/66.65 | (135) all_4_60 = all_4_63
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (132), (133) imply:
% 260.96/66.65 | (136) all_4_62 = n7
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (134), (135) imply:
% 260.96/66.65 | (137) all_4_63 = n5
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (63), (132), (134) imply:
% 260.96/66.65 | (138) sum(n5, n7) = all_4_58
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (18), (134), (136) imply:
% 260.96/66.65 | (139) sum(n5, n7) = all_4_56
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (22), (132), (137) imply:
% 260.96/66.65 | (140) sum(n5, n7) = all_4_57
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (24), (136), (137) imply:
% 260.96/66.65 | (141) sum(n5, n7) = all_4_61
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.65 | (44), (140) gives:
% 260.96/66.65 | (142) all_4_57 = n1
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.65 | with (138), (140) gives:
% 260.96/66.65 | (143) all_4_57 = all_4_58
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.65 | with (139), (140) gives:
% 260.96/66.65 | (144) all_4_56 = all_4_57
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.65 | with (139), (141) gives:
% 260.96/66.65 | (145) all_4_56 = all_4_61
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (144), (145) imply:
% 260.96/66.65 | (146) all_4_57 = all_4_61
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (146) implies:
% 260.96/66.65 | (147) all_4_57 = all_4_61
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (142), (143) imply:
% 260.96/66.65 | (148) all_4_58 = n1
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (143), (147) imply:
% 260.96/66.65 | (149) all_4_58 = all_4_61
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (148), (149) imply:
% 260.96/66.65 | (150) all_4_61 = n1
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (145), (150) imply:
% 260.96/66.65 | (151) all_4_56 = n1
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (37), (142), (151) imply:
% 260.96/66.65 | (152) sum(n1, n1) = all_4_94
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (87), (148), (150) imply:
% 260.96/66.65 | (153) sum(n1, n1) = all_4_95
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.65 | (91), (152) gives:
% 260.96/66.65 | (154) all_4_94 = n2
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_95, all_4_94, n1, n1, simplifying
% 260.96/66.65 | with (152), (153) gives:
% 260.96/66.65 | (155) all_4_94 = all_4_95
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (154), (155) imply:
% 260.96/66.65 | (156) all_4_95 = n2
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (96), (154) imply:
% 260.96/66.65 | (157) pred(n2) = all_4_52
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (11), (156) imply:
% 260.96/66.65 | (158) pred(n2) = all_4_55
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (25), (154) imply:
% 260.96/66.65 | (159) succ(n2) = all_4_54
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (2), (156) imply:
% 260.96/66.65 | (160) succ(n2) = all_4_51
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (47) with n3, all_4_51, n2, simplifying with (66),
% 260.96/66.65 | (160) gives:
% 260.96/66.65 | (161) all_4_51 = n3
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (47) with all_4_54, all_4_51, n2, simplifying with
% 260.96/66.65 | (159), (160) gives:
% 260.96/66.65 | (162) all_4_51 = all_4_54
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (90) with n1, all_4_52, n2, simplifying with (80),
% 260.96/66.65 | (157) gives:
% 260.96/66.65 | (163) all_4_52 = n1
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (90) with all_4_55, all_4_52, n2, simplifying with
% 260.96/66.65 | (157), (158) gives:
% 260.96/66.65 | (164) all_4_52 = all_4_55
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (161), (162) imply:
% 260.96/66.65 | (165) all_4_54 = n3
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (163), (164) imply:
% 260.96/66.65 | (166) all_4_55 = n1
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (166) implies:
% 260.96/66.65 | (167) all_4_55 = n1
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (92), (161), (163) imply:
% 260.96/66.65 | (168) sum(n1, n3) = all_4_50
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (16), (163), (165) imply:
% 260.96/66.65 | (169) sum(n1, n3) = all_4_48
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (56), (161), (167) imply:
% 260.96/66.65 | (170) sum(n1, n3) = all_4_49
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (20), (165), (167) imply:
% 260.96/66.65 | (171) sum(n1, n3) = all_4_53
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with n4, all_4_49, n3, n1, simplifying with
% 260.96/66.65 | (89), (170) gives:
% 260.96/66.65 | (172) all_4_49 = n4
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_50, all_4_49, n3, n1, simplifying
% 260.96/66.65 | with (168), (170) gives:
% 260.96/66.65 | (173) all_4_49 = all_4_50
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_49, all_4_48, n3, n1, simplifying
% 260.96/66.65 | with (169), (170) gives:
% 260.96/66.65 | (174) all_4_48 = all_4_49
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with all_4_53, all_4_48, n3, n1, simplifying
% 260.96/66.65 | with (169), (171) gives:
% 260.96/66.65 | (175) all_4_48 = all_4_53
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (174), (175) imply:
% 260.96/66.65 | (176) all_4_49 = all_4_53
% 260.96/66.65 |
% 260.96/66.65 | SIMP: (176) implies:
% 260.96/66.65 | (177) all_4_49 = all_4_53
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (172), (173) imply:
% 260.96/66.65 | (178) all_4_50 = n4
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (173), (177) imply:
% 260.96/66.65 | (179) all_4_50 = all_4_53
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (178), (179) imply:
% 260.96/66.65 | (180) all_4_53 = n4
% 260.96/66.65 |
% 260.96/66.65 | COMBINE_EQS: (175), (180) imply:
% 260.96/66.65 | (181) all_4_48 = n4
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (88), (172), (181) imply:
% 260.96/66.65 | (182) sum(n4, n4) = all_4_92
% 260.96/66.65 |
% 260.96/66.65 | REDUCE: (93), (178), (180) imply:
% 260.96/66.65 | (183) sum(n4, n4) = all_4_93
% 260.96/66.65 |
% 260.96/66.65 | GROUND_INST: instantiating (71) with n8, all_4_92, n4, n4, simplifying with
% 260.96/66.65 | (83), (182) gives:
% 260.96/66.65 | (184) all_4_92 = n8
% 260.96/66.65 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_93, all_4_92, n4, n4, simplifying
% 260.96/66.66 | with (182), (183) gives:
% 260.96/66.66 | (185) all_4_92 = all_4_93
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.66 | (186) all_4_93 = n8
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (186) implies:
% 260.96/66.66 | (187) all_4_93 = n8
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (43), (184) imply:
% 260.96/66.66 | (188) pred(n8) = all_4_44
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (61), (187) imply:
% 260.96/66.66 | (189) pred(n8) = all_4_47
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (7), (184) imply:
% 260.96/66.66 | (190) succ(n8) = all_4_46
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (94), (187) imply:
% 260.96/66.66 | (191) succ(n8) = all_4_43
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with n9, all_4_43, n8, simplifying with (69),
% 260.96/66.66 | (191) gives:
% 260.96/66.66 | (192) all_4_43 = n9
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with all_4_46, all_4_43, n8, simplifying with
% 260.96/66.66 | (190), (191) gives:
% 260.96/66.66 | (193) all_4_43 = all_4_46
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with n7, all_4_44, n8, simplifying with (28),
% 260.96/66.66 | (188) gives:
% 260.96/66.66 | (194) all_4_44 = n7
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with all_4_47, all_4_44, n8, simplifying with
% 260.96/66.66 | (188), (189) gives:
% 260.96/66.66 | (195) all_4_44 = all_4_47
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (192), (193) imply:
% 260.96/66.66 | (196) all_4_46 = n9
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (194), (195) imply:
% 260.96/66.66 | (197) all_4_47 = n7
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (75), (192), (194) imply:
% 260.96/66.66 | (198) sum(n7, n9) = all_4_42
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (12), (194), (196) imply:
% 260.96/66.66 | (199) sum(n7, n9) = all_4_40
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (39), (192), (197) imply:
% 260.96/66.66 | (200) sum(n7, n9) = all_4_41
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (60), (196), (197) imply:
% 260.96/66.66 | (201) sum(n7, n9) = all_4_45
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n5, all_4_41, n9, n7, simplifying with
% 260.96/66.66 | (78), (200) gives:
% 260.96/66.66 | (202) all_4_41 = n5
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_42, all_4_41, n9, n7, simplifying
% 260.96/66.66 | with (198), (200) gives:
% 260.96/66.66 | (203) all_4_41 = all_4_42
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_41, all_4_40, n9, n7, simplifying
% 260.96/66.66 | with (199), (200) gives:
% 260.96/66.66 | (204) all_4_40 = all_4_41
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_45, all_4_40, n9, n7, simplifying
% 260.96/66.66 | with (199), (201) gives:
% 260.96/66.66 | (205) all_4_40 = all_4_45
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (204), (205) imply:
% 260.96/66.66 | (206) all_4_41 = all_4_45
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (206) implies:
% 260.96/66.66 | (207) all_4_41 = all_4_45
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (202), (203) imply:
% 260.96/66.66 | (208) all_4_42 = n5
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (203), (207) imply:
% 260.96/66.66 | (209) all_4_42 = all_4_45
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (208), (209) imply:
% 260.96/66.66 | (210) all_4_45 = n5
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (210) implies:
% 260.96/66.66 | (211) all_4_45 = n5
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (205), (211) imply:
% 260.96/66.66 | (212) all_4_40 = n5
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (65), (202), (212) imply:
% 260.96/66.66 | (213) sum(n5, n5) = all_4_90
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (73), (208), (211) imply:
% 260.96/66.66 | (214) sum(n5, n5) = all_4_91
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n10, all_4_90, n5, n5, simplifying with
% 260.96/66.66 | (64), (213) gives:
% 260.96/66.66 | (215) all_4_90 = n10
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_91, all_4_90, n5, n5, simplifying
% 260.96/66.66 | with (213), (214) gives:
% 260.96/66.66 | (216) all_4_90 = all_4_91
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (215), (216) imply:
% 260.96/66.66 | (217) all_4_91 = n10
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (217) implies:
% 260.96/66.66 | (218) all_4_91 = n10
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (82), (215) imply:
% 260.96/66.66 | (219) pred(n10) = all_4_36
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (41), (218) imply:
% 260.96/66.66 | (220) pred(n10) = all_4_39
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (33), (215) imply:
% 260.96/66.66 | (221) succ(n10) = all_4_38
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (5), (218) imply:
% 260.96/66.66 | (222) succ(n10) = all_4_35
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with n0, all_4_35, n10, simplifying with (46),
% 260.96/66.66 | (222) gives:
% 260.96/66.66 | (223) all_4_35 = n0
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with all_4_38, all_4_35, n10, simplifying with
% 260.96/66.66 | (221), (222) gives:
% 260.96/66.66 | (224) all_4_35 = all_4_38
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with n9, all_4_36, n10, simplifying with (76),
% 260.96/66.66 | (219) gives:
% 260.96/66.66 | (225) all_4_36 = n9
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with all_4_39, all_4_36, n10, simplifying with
% 260.96/66.66 | (219), (220) gives:
% 260.96/66.66 | (226) all_4_36 = all_4_39
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (223), (224) imply:
% 260.96/66.66 | (227) all_4_38 = n0
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (225), (226) imply:
% 260.96/66.66 | (228) all_4_39 = n9
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (58), (223), (225) imply:
% 260.96/66.66 | (229) sum(n9, n0) = all_4_34
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (86), (225), (227) imply:
% 260.96/66.66 | (230) sum(n9, n0) = all_4_32
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (70), (223), (228) imply:
% 260.96/66.66 | (231) sum(n9, n0) = all_4_33
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (74), (227), (228) imply:
% 260.96/66.66 | (232) sum(n9, n0) = all_4_37
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n9, all_4_33, n0, n9, simplifying with
% 260.96/66.66 | (15), (231) gives:
% 260.96/66.66 | (233) all_4_33 = n9
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_34, all_4_33, n0, n9, simplifying
% 260.96/66.66 | with (229), (231) gives:
% 260.96/66.66 | (234) all_4_33 = all_4_34
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_33, all_4_32, n0, n9, simplifying
% 260.96/66.66 | with (230), (231) gives:
% 260.96/66.66 | (235) all_4_32 = all_4_33
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_37, all_4_32, n0, n9, simplifying
% 260.96/66.66 | with (230), (232) gives:
% 260.96/66.66 | (236) all_4_32 = all_4_37
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (235), (236) imply:
% 260.96/66.66 | (237) all_4_33 = all_4_37
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (237) implies:
% 260.96/66.66 | (238) all_4_33 = all_4_37
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (233), (234) imply:
% 260.96/66.66 | (239) all_4_34 = n9
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (234), (238) imply:
% 260.96/66.66 | (240) all_4_34 = all_4_37
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (239), (240) imply:
% 260.96/66.66 | (241) all_4_37 = n9
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (236), (241) imply:
% 260.96/66.66 | (242) all_4_32 = n9
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (38), (233), (242) imply:
% 260.96/66.66 | (243) sum(n9, n9) = all_4_88
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (26), (239), (241) imply:
% 260.96/66.66 | (244) sum(n9, n9) = all_4_89
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n7, all_4_88, n9, n9, simplifying with
% 260.96/66.66 | (101), (243) gives:
% 260.96/66.66 | (245) all_4_88 = n7
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_89, all_4_88, n9, n9, simplifying
% 260.96/66.66 | with (243), (244) gives:
% 260.96/66.66 | (246) all_4_88 = all_4_89
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (245), (246) imply:
% 260.96/66.66 | (247) all_4_89 = n7
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (35), (245) imply:
% 260.96/66.66 | (248) pred(n7) = all_4_28
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (42), (247) imply:
% 260.96/66.66 | (249) pred(n7) = all_4_31
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (54), (245) imply:
% 260.96/66.66 | (250) succ(n7) = all_4_30
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (10), (247) imply:
% 260.96/66.66 | (251) succ(n7) = all_4_27
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with n8, all_4_27, n7, simplifying with (59),
% 260.96/66.66 | (251) gives:
% 260.96/66.66 | (252) all_4_27 = n8
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with all_4_30, all_4_27, n7, simplifying with
% 260.96/66.66 | (250), (251) gives:
% 260.96/66.66 | (253) all_4_27 = all_4_30
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with n6, all_4_28, n7, simplifying with (57),
% 260.96/66.66 | (248) gives:
% 260.96/66.66 | (254) all_4_28 = n6
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with all_4_31, all_4_28, n7, simplifying with
% 260.96/66.66 | (248), (249) gives:
% 260.96/66.66 | (255) all_4_28 = all_4_31
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (252), (253) imply:
% 260.96/66.66 | (256) all_4_30 = n8
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (254), (255) imply:
% 260.96/66.66 | (257) all_4_31 = n6
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (1), (252), (254) imply:
% 260.96/66.66 | (258) sum(n6, n8) = all_4_26
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (13), (254), (256) imply:
% 260.96/66.66 | (259) sum(n6, n8) = all_4_24
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (23), (252), (257) imply:
% 260.96/66.66 | (260) sum(n6, n8) = all_4_25
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (36), (256), (257) imply:
% 260.96/66.66 | (261) sum(n6, n8) = all_4_29
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n3, all_4_25, n8, n6, simplifying with
% 260.96/66.66 | (34), (260) gives:
% 260.96/66.66 | (262) all_4_25 = n3
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_26, all_4_25, n8, n6, simplifying
% 260.96/66.66 | with (258), (260) gives:
% 260.96/66.66 | (263) all_4_25 = all_4_26
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_25, all_4_24, n8, n6, simplifying
% 260.96/66.66 | with (259), (260) gives:
% 260.96/66.66 | (264) all_4_24 = all_4_25
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_29, all_4_24, n8, n6, simplifying
% 260.96/66.66 | with (259), (261) gives:
% 260.96/66.66 | (265) all_4_24 = all_4_29
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (264), (265) imply:
% 260.96/66.66 | (266) all_4_25 = all_4_29
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (266) implies:
% 260.96/66.66 | (267) all_4_25 = all_4_29
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (262), (263) imply:
% 260.96/66.66 | (268) all_4_26 = n3
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (263), (267) imply:
% 260.96/66.66 | (269) all_4_26 = all_4_29
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (268), (269) imply:
% 260.96/66.66 | (270) all_4_29 = n3
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (265), (270) imply:
% 260.96/66.66 | (271) all_4_24 = n3
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (4), (262), (271) imply:
% 260.96/66.66 | (272) sum(n3, n3) = all_4_86
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (40), (268), (270) imply:
% 260.96/66.66 | (273) sum(n3, n3) = all_4_87
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n6, all_4_86, n3, n3, simplifying with
% 260.96/66.66 | (17), (272) gives:
% 260.96/66.66 | (274) all_4_86 = n6
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_87, all_4_86, n3, n3, simplifying
% 260.96/66.66 | with (272), (273) gives:
% 260.96/66.66 | (275) all_4_86 = all_4_87
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (274), (275) imply:
% 260.96/66.66 | (276) all_4_87 = n6
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (276) implies:
% 260.96/66.66 | (277) all_4_87 = n6
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (31), (274) imply:
% 260.96/66.66 | (278) pred(n6) = all_4_20
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (72), (277) imply:
% 260.96/66.66 | (279) pred(n6) = all_4_23
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (27), (274) imply:
% 260.96/66.66 | (280) succ(n6) = all_4_22
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (3), (277) imply:
% 260.96/66.66 | (281) succ(n6) = all_4_19
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with n7, all_4_19, n6, simplifying with (68),
% 260.96/66.66 | (281) gives:
% 260.96/66.66 | (282) all_4_19 = n7
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (47) with all_4_22, all_4_19, n6, simplifying with
% 260.96/66.66 | (280), (281) gives:
% 260.96/66.66 | (283) all_4_19 = all_4_22
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with n5, all_4_20, n6, simplifying with (50),
% 260.96/66.66 | (278) gives:
% 260.96/66.66 | (284) all_4_20 = n5
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (90) with all_4_23, all_4_20, n6, simplifying with
% 260.96/66.66 | (278), (279) gives:
% 260.96/66.66 | (285) all_4_20 = all_4_23
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (282), (283) imply:
% 260.96/66.66 | (286) all_4_22 = n7
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (284), (285) imply:
% 260.96/66.66 | (287) all_4_23 = n5
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (14), (282), (284) imply:
% 260.96/66.66 | (288) sum(n5, n7) = all_4_18
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (55), (284), (286) imply:
% 260.96/66.66 | (289) sum(n5, n7) = all_4_16
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (9), (282), (287) imply:
% 260.96/66.66 | (290) sum(n5, n7) = all_4_17
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (21), (286), (287) imply:
% 260.96/66.66 | (291) sum(n5, n7) = all_4_21
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n1, all_4_17, n7, n5, simplifying with
% 260.96/66.66 | (44), (290) gives:
% 260.96/66.66 | (292) all_4_17 = n1
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_18, all_4_17, n7, n5, simplifying
% 260.96/66.66 | with (288), (290) gives:
% 260.96/66.66 | (293) all_4_17 = all_4_18
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_17, all_4_16, n7, n5, simplifying
% 260.96/66.66 | with (289), (290) gives:
% 260.96/66.66 | (294) all_4_16 = all_4_17
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with all_4_21, all_4_16, n7, n5, simplifying
% 260.96/66.66 | with (289), (291) gives:
% 260.96/66.66 | (295) all_4_16 = all_4_21
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (294), (295) imply:
% 260.96/66.66 | (296) all_4_17 = all_4_21
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (296) implies:
% 260.96/66.66 | (297) all_4_17 = all_4_21
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (292), (293) imply:
% 260.96/66.66 | (298) all_4_18 = n1
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (293), (297) imply:
% 260.96/66.66 | (299) all_4_18 = all_4_21
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (298), (299) imply:
% 260.96/66.66 | (300) all_4_21 = n1
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (295), (300) imply:
% 260.96/66.66 | (301) all_4_16 = n1
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (79), (292), (301) imply:
% 260.96/66.66 | (302) sum(n1, n1) = all_4_84
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (6), (298), (300) imply:
% 260.96/66.66 | (303) sum(n1, n1) = all_4_85
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n2, all_4_85, n1, n1, simplifying with
% 260.96/66.66 | (91), (303) gives:
% 260.96/66.66 | (304) all_4_85 = n2
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (71) with n2, all_4_84, n1, n1, simplifying with
% 260.96/66.66 | (91), (302) gives:
% 260.96/66.66 | (305) all_4_84 = n2
% 260.96/66.66 |
% 260.96/66.66 | REF_CLOSE: (8), (32), (53), (124), (127), (154), (156), (184), (187), (215),
% 260.96/66.66 | (218), (245), (247), (274), (277), (304), (305) are inconsistent by
% 260.96/66.66 | sub-proof #192.
% 260.96/66.66 |
% 260.96/66.66 End of proof
% 260.96/66.66
% 260.96/66.66 Sub-proof #86 shows that the following formulas are inconsistent:
% 260.96/66.66 ----------------------------------------------------------------
% 260.96/66.66 (1) sum(all_4_28, all_4_27) = all_4_26
% 260.96/66.66 (2) succ(all_4_84) = all_4_14
% 260.96/66.66 (3) succ(all_4_95) = all_4_51
% 260.96/66.66 (4) succ(all_4_87) = all_4_19
% 260.96/66.66 (5) sum(all_4_25, all_4_24) = all_4_86
% 260.96/66.66 (6) succ(all_4_91) = all_4_35
% 260.96/66.66 (7) sum(all_4_21, all_4_18) = all_4_85
% 260.96/66.66 (8) succ(all_4_92) = all_4_46
% 260.96/66.66 (9) sum(all_4_23, all_4_19) = all_4_17
% 260.96/66.66 (10) ~ (all_4_82 = all_4_83)
% 260.96/66.66 (11) succ(all_4_89) = all_4_27
% 260.96/66.66 (12) pred(all_4_95) = all_4_55
% 260.96/66.66 (13) sum(all_4_44, all_4_46) = all_4_40
% 260.96/66.66 (14) sum(all_4_28, all_4_30) = all_4_24
% 260.96/66.66 (15) sum(all_4_20, all_4_19) = all_4_18
% 260.96/66.66 (16) sum(n9, n0) = n9
% 260.96/66.66 (17) sum(all_4_9, all_4_8) = all_4_82
% 260.96/66.66 (18) sum(all_4_52, all_4_54) = all_4_48
% 260.96/66.66 (19) sum(n3, n3) = n6
% 260.96/66.66 (20) sum(all_4_60, all_4_62) = all_4_56
% 260.96/66.66 (21) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.66 (22) sum(all_4_55, all_4_54) = all_4_53
% 260.96/66.66 (23) sum(all_4_23, all_4_22) = all_4_21
% 260.96/66.66 (24) sum(all_4_63, all_4_59) = all_4_57
% 260.96/66.66 (25) sum(all_4_31, all_4_27) = all_4_25
% 260.96/66.66 (26) sum(all_4_63, all_4_62) = all_4_61
% 260.96/66.66 (27) succ(all_4_94) = all_4_54
% 260.96/66.66 (28) sum(all_4_37, all_4_34) = all_4_89
% 260.96/66.66 (29) succ(all_4_86) = all_4_22
% 260.96/66.66 (30) pred(n8) = n7
% 260.96/66.66 (31) sum(n9, n9) = all_4_99
% 260.96/66.66 (32) pred(all_4_99) = all_4_71
% 260.96/66.66 (33) pred(all_4_86) = all_4_20
% 260.96/66.66 (34) all_4_98 = n7
% 260.96/66.66 (35) succ(all_4_90) = all_4_38
% 260.96/66.66 (36) sum(n6, n8) = n3
% 260.96/66.66 (37) pred(all_4_88) = all_4_28
% 260.96/66.66 (38) pred(all_4_85) = all_4_15
% 260.96/66.66 (39) sum(all_4_15, all_4_14) = all_4_13
% 260.96/66.66 (40) sum(all_4_31, all_4_30) = all_4_29
% 260.96/66.66 (41) sum(all_4_57, all_4_56) = all_4_94
% 260.96/66.66 (42) sum(all_4_33, all_4_32) = all_4_88
% 260.96/66.66 (43) sum(all_4_47, all_4_43) = all_4_41
% 260.96/66.66 (44) sum(all_4_12, all_4_14) = all_4_8
% 260.96/66.66 (45) sum(all_4_29, all_4_26) = all_4_87
% 260.96/66.66 (46) pred(all_4_91) = all_4_39
% 260.96/66.66 (47) pred(all_4_89) = all_4_31
% 260.96/66.66 (48) pred(all_4_92) = all_4_44
% 260.96/66.66 (49) sum(n5, n7) = n1
% 260.96/66.66 (50) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.66 (51) succ(n10) = n0
% 260.96/66.66 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 260.96/66.66 | ~ (succ(v2) = v0))
% 260.96/66.66 (53) pred(all_4_97) = all_4_63
% 260.96/66.66 (54) succ(all_4_99) = all_4_67
% 260.96/66.66 (55) pred(n6) = n5
% 260.96/66.66 (56) pred(all_4_96) = all_4_60
% 260.96/66.66 (57) succ(all_4_96) = all_4_62
% 260.96/66.66 (58) all_4_99 = n7
% 260.96/66.66 (59) succ(all_4_88) = all_4_30
% 260.96/66.66 (60) sum(all_4_20, all_4_22) = all_4_16
% 260.96/66.66 (61) sum(all_4_12, all_4_11) = all_4_10
% 260.96/66.66 (62) sum(all_4_55, all_4_51) = all_4_49
% 260.96/66.66 (63) pred(n7) = n6
% 260.96/66.66 (64) sum(all_4_36, all_4_35) = all_4_34
% 260.96/66.66 (65) succ(n7) = n8
% 260.96/66.66 (66) sum(all_4_15, all_4_11) = all_4_9
% 260.96/66.66 (67) sum(all_4_47, all_4_46) = all_4_45
% 260.96/66.66 (68) pred(all_4_93) = all_4_47
% 260.96/66.66 (69) sum(all_4_71, all_4_67) = all_4_65
% 260.96/66.66 (70) sum(all_4_60, all_4_59) = all_4_58
% 260.96/66.66 (71) sum(n5, n5) = n10
% 260.96/66.66 (72) sum(all_4_41, all_4_40) = all_4_90
% 260.96/66.66 (73) succ(n2) = n3
% 260.96/66.66 (74) sum(all_4_68, all_4_67) = all_4_66
% 260.96/66.66 (75) succ(n6) = n7
% 260.96/66.66 (76) succ(n8) = n9
% 260.96/66.66 (77) sum(all_4_39, all_4_35) = all_4_33
% 260.96/66.66 (78) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 260.96/66.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 260.96/66.66 (79) pred(all_4_87) = all_4_23
% 260.96/66.66 (80) sum(all_4_45, all_4_42) = all_4_91
% 260.96/66.66 (81) sum(all_4_39, all_4_38) = all_4_37
% 260.96/66.66 (82) sum(all_4_44, all_4_43) = all_4_42
% 260.96/66.66 (83) pred(n10) = n9
% 260.96/66.66 (84) sum(all_4_69, all_4_66) = all_4_97
% 260.96/66.66 (85) sum(n7, n9) = n5
% 260.96/66.66 (86) sum(all_4_17, all_4_16) = all_4_84
% 260.96/66.66 (87) sum(all_4_13, all_4_10) = all_4_83
% 260.96/66.66 (88) pred(n2) = n1
% 260.96/66.66 (89) succ(all_4_98) = all_4_70
% 260.96/66.66 (90) pred(all_4_90) = all_4_36
% 260.96/66.66 (91) sum(n4, n4) = n8
% 260.96/66.66 (92) sum(all_4_68, all_4_70) = all_4_64
% 260.96/66.66 (93) succ(all_4_97) = all_4_59
% 260.96/66.66 (94) sum(all_4_36, all_4_38) = all_4_32
% 260.96/66.66 (95) pred(all_4_84) = all_4_12
% 260.96/66.66 (96) sum(all_4_61, all_4_58) = all_4_95
% 260.96/66.66 (97) succ(all_4_85) = all_4_11
% 260.96/66.66 (98) sum(all_4_49, all_4_48) = all_4_92
% 260.96/66.66 (99) sum(n1, n3) = n4
% 260.96/66.66 (100) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 260.96/66.66 | ~ (pred(v2) = v0))
% 260.96/66.66 (101) sum(n1, n1) = n2
% 260.96/66.66 (102) sum(all_4_52, all_4_51) = all_4_50
% 260.96/66.66 (103) sum(all_4_53, all_4_50) = all_4_93
% 260.96/66.66 (104) succ(all_4_93) = all_4_43
% 260.96/66.66 (105) pred(all_4_98) = all_4_68
% 260.96/66.66 (106) pred(all_4_94) = all_4_52
% 260.96/66.66
% 260.96/66.66 Begin of proof
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (34), (105) imply:
% 260.96/66.66 | (107) pred(n7) = all_4_68
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (32), (58) imply:
% 260.96/66.66 | (108) pred(n7) = all_4_71
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (34), (89) imply:
% 260.96/66.66 | (109) succ(n7) = all_4_70
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (54), (58) imply:
% 260.96/66.66 | (110) succ(n7) = all_4_67
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (31), (58) imply:
% 260.96/66.66 | (111) sum(n9, n9) = n7
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (52) with n8, all_4_67, n7, simplifying with (65),
% 260.96/66.66 | (110) gives:
% 260.96/66.66 | (112) all_4_67 = n8
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (52) with all_4_70, all_4_67, n7, simplifying with
% 260.96/66.66 | (109), (110) gives:
% 260.96/66.66 | (113) all_4_67 = all_4_70
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (100) with n6, all_4_68, n7, simplifying with (63),
% 260.96/66.66 | (107) gives:
% 260.96/66.66 | (114) all_4_68 = n6
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (100) with all_4_71, all_4_68, n7, simplifying with
% 260.96/66.66 | (107), (108) gives:
% 260.96/66.66 | (115) all_4_68 = all_4_71
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (112), (113) imply:
% 260.96/66.66 | (116) all_4_70 = n8
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (114), (115) imply:
% 260.96/66.66 | (117) all_4_71 = n6
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (74), (112), (114) imply:
% 260.96/66.66 | (118) sum(n6, n8) = all_4_66
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (92), (114), (116) imply:
% 260.96/66.66 | (119) sum(n6, n8) = all_4_64
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (69), (112), (117) imply:
% 260.96/66.66 | (120) sum(n6, n8) = all_4_65
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (21), (116), (117) imply:
% 260.96/66.66 | (121) sum(n6, n8) = all_4_69
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with n3, all_4_65, n8, n6, simplifying with
% 260.96/66.66 | (36), (120) gives:
% 260.96/66.66 | (122) all_4_65 = n3
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_66, all_4_65, n8, n6, simplifying
% 260.96/66.66 | with (118), (120) gives:
% 260.96/66.66 | (123) all_4_65 = all_4_66
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_66, all_4_64, n8, n6, simplifying
% 260.96/66.66 | with (118), (119) gives:
% 260.96/66.66 | (124) all_4_64 = all_4_66
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_69, all_4_64, n8, n6, simplifying
% 260.96/66.66 | with (119), (121) gives:
% 260.96/66.66 | (125) all_4_64 = all_4_69
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (124), (125) imply:
% 260.96/66.66 | (126) all_4_66 = all_4_69
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (126) implies:
% 260.96/66.66 | (127) all_4_66 = all_4_69
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (122), (123) imply:
% 260.96/66.66 | (128) all_4_66 = n3
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (128) implies:
% 260.96/66.66 | (129) all_4_66 = n3
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (127), (129) imply:
% 260.96/66.66 | (130) all_4_69 = n3
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (125), (130) imply:
% 260.96/66.66 | (131) all_4_64 = n3
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (50), (122), (131) imply:
% 260.96/66.66 | (132) sum(n3, n3) = all_4_96
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (84), (129), (130) imply:
% 260.96/66.66 | (133) sum(n3, n3) = all_4_97
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with n6, all_4_96, n3, n3, simplifying with
% 260.96/66.66 | (19), (132) gives:
% 260.96/66.66 | (134) all_4_96 = n6
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_97, all_4_96, n3, n3, simplifying
% 260.96/66.66 | with (132), (133) gives:
% 260.96/66.66 | (135) all_4_96 = all_4_97
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (134), (135) imply:
% 260.96/66.66 | (136) all_4_97 = n6
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (136) implies:
% 260.96/66.66 | (137) all_4_97 = n6
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (56), (134) imply:
% 260.96/66.66 | (138) pred(n6) = all_4_60
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (53), (137) imply:
% 260.96/66.66 | (139) pred(n6) = all_4_63
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (57), (134) imply:
% 260.96/66.66 | (140) succ(n6) = all_4_62
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (93), (137) imply:
% 260.96/66.66 | (141) succ(n6) = all_4_59
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (52) with n7, all_4_59, n6, simplifying with (75),
% 260.96/66.66 | (141) gives:
% 260.96/66.66 | (142) all_4_59 = n7
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (52) with all_4_62, all_4_59, n6, simplifying with
% 260.96/66.66 | (140), (141) gives:
% 260.96/66.66 | (143) all_4_59 = all_4_62
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (100) with n5, all_4_60, n6, simplifying with (55),
% 260.96/66.66 | (138) gives:
% 260.96/66.66 | (144) all_4_60 = n5
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (100) with all_4_63, all_4_60, n6, simplifying with
% 260.96/66.66 | (138), (139) gives:
% 260.96/66.66 | (145) all_4_60 = all_4_63
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (142), (143) imply:
% 260.96/66.66 | (146) all_4_62 = n7
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (144), (145) imply:
% 260.96/66.66 | (147) all_4_63 = n5
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (70), (142), (144) imply:
% 260.96/66.66 | (148) sum(n5, n7) = all_4_58
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (20), (144), (146) imply:
% 260.96/66.66 | (149) sum(n5, n7) = all_4_56
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (24), (142), (147) imply:
% 260.96/66.66 | (150) sum(n5, n7) = all_4_57
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (26), (146), (147) imply:
% 260.96/66.66 | (151) sum(n5, n7) = all_4_61
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with n1, all_4_57, n7, n5, simplifying with
% 260.96/66.66 | (49), (150) gives:
% 260.96/66.66 | (152) all_4_57 = n1
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_58, all_4_57, n7, n5, simplifying
% 260.96/66.66 | with (148), (150) gives:
% 260.96/66.66 | (153) all_4_57 = all_4_58
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_57, all_4_56, n7, n5, simplifying
% 260.96/66.66 | with (149), (150) gives:
% 260.96/66.66 | (154) all_4_56 = all_4_57
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_61, all_4_56, n7, n5, simplifying
% 260.96/66.66 | with (149), (151) gives:
% 260.96/66.66 | (155) all_4_56 = all_4_61
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (154), (155) imply:
% 260.96/66.66 | (156) all_4_57 = all_4_61
% 260.96/66.66 |
% 260.96/66.66 | SIMP: (156) implies:
% 260.96/66.66 | (157) all_4_57 = all_4_61
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (152), (153) imply:
% 260.96/66.66 | (158) all_4_58 = n1
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (153), (157) imply:
% 260.96/66.66 | (159) all_4_58 = all_4_61
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (158), (159) imply:
% 260.96/66.66 | (160) all_4_61 = n1
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (155), (160) imply:
% 260.96/66.66 | (161) all_4_56 = n1
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (41), (152), (161) imply:
% 260.96/66.66 | (162) sum(n1, n1) = all_4_94
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (96), (158), (160) imply:
% 260.96/66.66 | (163) sum(n1, n1) = all_4_95
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with n2, all_4_94, n1, n1, simplifying with
% 260.96/66.66 | (101), (162) gives:
% 260.96/66.66 | (164) all_4_94 = n2
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (78) with all_4_95, all_4_94, n1, n1, simplifying
% 260.96/66.66 | with (162), (163) gives:
% 260.96/66.66 | (165) all_4_94 = all_4_95
% 260.96/66.66 |
% 260.96/66.66 | COMBINE_EQS: (164), (165) imply:
% 260.96/66.66 | (166) all_4_95 = n2
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (106), (164) imply:
% 260.96/66.66 | (167) pred(n2) = all_4_52
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (12), (166) imply:
% 260.96/66.66 | (168) pred(n2) = all_4_55
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (27), (164) imply:
% 260.96/66.66 | (169) succ(n2) = all_4_54
% 260.96/66.66 |
% 260.96/66.66 | REDUCE: (3), (166) imply:
% 260.96/66.66 | (170) succ(n2) = all_4_51
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (52) with n3, all_4_51, n2, simplifying with (73),
% 260.96/66.66 | (170) gives:
% 260.96/66.66 | (171) all_4_51 = n3
% 260.96/66.66 |
% 260.96/66.66 | GROUND_INST: instantiating (52) with all_4_54, all_4_51, n2, simplifying with
% 260.96/66.66 | (169), (170) gives:
% 260.96/66.67 | (172) all_4_51 = all_4_54
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with n1, all_4_52, n2, simplifying with (88),
% 260.96/66.67 | (167) gives:
% 260.96/66.67 | (173) all_4_52 = n1
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with all_4_55, all_4_52, n2, simplifying with
% 260.96/66.67 | (167), (168) gives:
% 260.96/66.67 | (174) all_4_52 = all_4_55
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (171), (172) imply:
% 260.96/66.67 | (175) all_4_54 = n3
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (173), (174) imply:
% 260.96/66.67 | (176) all_4_55 = n1
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (176) implies:
% 260.96/66.67 | (177) all_4_55 = n1
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (102), (171), (173) imply:
% 260.96/66.67 | (178) sum(n1, n3) = all_4_50
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (18), (173), (175) imply:
% 260.96/66.67 | (179) sum(n1, n3) = all_4_48
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (62), (171), (177) imply:
% 260.96/66.67 | (180) sum(n1, n3) = all_4_49
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (22), (175), (177) imply:
% 260.96/66.67 | (181) sum(n1, n3) = all_4_53
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n4, all_4_49, n3, n1, simplifying with
% 260.96/66.67 | (99), (180) gives:
% 260.96/66.67 | (182) all_4_49 = n4
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_50, all_4_49, n3, n1, simplifying
% 260.96/66.67 | with (178), (180) gives:
% 260.96/66.67 | (183) all_4_49 = all_4_50
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_49, all_4_48, n3, n1, simplifying
% 260.96/66.67 | with (179), (180) gives:
% 260.96/66.67 | (184) all_4_48 = all_4_49
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_53, all_4_48, n3, n1, simplifying
% 260.96/66.67 | with (179), (181) gives:
% 260.96/66.67 | (185) all_4_48 = all_4_53
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (184), (185) imply:
% 260.96/66.67 | (186) all_4_49 = all_4_53
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (186) implies:
% 260.96/66.67 | (187) all_4_49 = all_4_53
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (182), (183) imply:
% 260.96/66.67 | (188) all_4_50 = n4
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (183), (187) imply:
% 260.96/66.67 | (189) all_4_50 = all_4_53
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (188), (189) imply:
% 260.96/66.67 | (190) all_4_53 = n4
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (185), (190) imply:
% 260.96/66.67 | (191) all_4_48 = n4
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (98), (182), (191) imply:
% 260.96/66.67 | (192) sum(n4, n4) = all_4_92
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (103), (188), (190) imply:
% 260.96/66.67 | (193) sum(n4, n4) = all_4_93
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n8, all_4_92, n4, n4, simplifying with
% 260.96/66.67 | (91), (192) gives:
% 260.96/66.67 | (194) all_4_92 = n8
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_93, all_4_92, n4, n4, simplifying
% 260.96/66.67 | with (192), (193) gives:
% 260.96/66.67 | (195) all_4_92 = all_4_93
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (194), (195) imply:
% 260.96/66.67 | (196) all_4_93 = n8
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (196) implies:
% 260.96/66.67 | (197) all_4_93 = n8
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (48), (194) imply:
% 260.96/66.67 | (198) pred(n8) = all_4_44
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (68), (197) imply:
% 260.96/66.67 | (199) pred(n8) = all_4_47
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (8), (194) imply:
% 260.96/66.67 | (200) succ(n8) = all_4_46
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (104), (197) imply:
% 260.96/66.67 | (201) succ(n8) = all_4_43
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with n9, all_4_43, n8, simplifying with (76),
% 260.96/66.67 | (201) gives:
% 260.96/66.67 | (202) all_4_43 = n9
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with all_4_46, all_4_43, n8, simplifying with
% 260.96/66.67 | (200), (201) gives:
% 260.96/66.67 | (203) all_4_43 = all_4_46
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with n7, all_4_44, n8, simplifying with (30),
% 260.96/66.67 | (198) gives:
% 260.96/66.67 | (204) all_4_44 = n7
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with all_4_47, all_4_44, n8, simplifying with
% 260.96/66.67 | (198), (199) gives:
% 260.96/66.67 | (205) all_4_44 = all_4_47
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (202), (203) imply:
% 260.96/66.67 | (206) all_4_46 = n9
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (204), (205) imply:
% 260.96/66.67 | (207) all_4_47 = n7
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (82), (202), (204) imply:
% 260.96/66.67 | (208) sum(n7, n9) = all_4_42
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (13), (204), (206) imply:
% 260.96/66.67 | (209) sum(n7, n9) = all_4_40
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (43), (202), (207) imply:
% 260.96/66.67 | (210) sum(n7, n9) = all_4_41
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (67), (206), (207) imply:
% 260.96/66.67 | (211) sum(n7, n9) = all_4_45
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n5, all_4_41, n9, n7, simplifying with
% 260.96/66.67 | (85), (210) gives:
% 260.96/66.67 | (212) all_4_41 = n5
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_42, all_4_41, n9, n7, simplifying
% 260.96/66.67 | with (208), (210) gives:
% 260.96/66.67 | (213) all_4_41 = all_4_42
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_41, all_4_40, n9, n7, simplifying
% 260.96/66.67 | with (209), (210) gives:
% 260.96/66.67 | (214) all_4_40 = all_4_41
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_45, all_4_40, n9, n7, simplifying
% 260.96/66.67 | with (209), (211) gives:
% 260.96/66.67 | (215) all_4_40 = all_4_45
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (214), (215) imply:
% 260.96/66.67 | (216) all_4_41 = all_4_45
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (216) implies:
% 260.96/66.67 | (217) all_4_41 = all_4_45
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (212), (213) imply:
% 260.96/66.67 | (218) all_4_42 = n5
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (213), (217) imply:
% 260.96/66.67 | (219) all_4_42 = all_4_45
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (218), (219) imply:
% 260.96/66.67 | (220) all_4_45 = n5
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (220) implies:
% 260.96/66.67 | (221) all_4_45 = n5
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (215), (221) imply:
% 260.96/66.67 | (222) all_4_40 = n5
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (72), (212), (222) imply:
% 260.96/66.67 | (223) sum(n5, n5) = all_4_90
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (80), (218), (221) imply:
% 260.96/66.67 | (224) sum(n5, n5) = all_4_91
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n10, all_4_90, n5, n5, simplifying with
% 260.96/66.67 | (71), (223) gives:
% 260.96/66.67 | (225) all_4_90 = n10
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_91, all_4_90, n5, n5, simplifying
% 260.96/66.67 | with (223), (224) gives:
% 260.96/66.67 | (226) all_4_90 = all_4_91
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (225), (226) imply:
% 260.96/66.67 | (227) all_4_91 = n10
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (227) implies:
% 260.96/66.67 | (228) all_4_91 = n10
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (90), (225) imply:
% 260.96/66.67 | (229) pred(n10) = all_4_36
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (46), (228) imply:
% 260.96/66.67 | (230) pred(n10) = all_4_39
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (35), (225) imply:
% 260.96/66.67 | (231) succ(n10) = all_4_38
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (6), (228) imply:
% 260.96/66.67 | (232) succ(n10) = all_4_35
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with n0, all_4_35, n10, simplifying with (51),
% 260.96/66.67 | (232) gives:
% 260.96/66.67 | (233) all_4_35 = n0
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with all_4_38, all_4_35, n10, simplifying with
% 260.96/66.67 | (231), (232) gives:
% 260.96/66.67 | (234) all_4_35 = all_4_38
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with n9, all_4_36, n10, simplifying with
% 260.96/66.67 | (83), (229) gives:
% 260.96/66.67 | (235) all_4_36 = n9
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with all_4_39, all_4_36, n10, simplifying
% 260.96/66.67 | with (229), (230) gives:
% 260.96/66.67 | (236) all_4_36 = all_4_39
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (233), (234) imply:
% 260.96/66.67 | (237) all_4_38 = n0
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (235), (236) imply:
% 260.96/66.67 | (238) all_4_39 = n9
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (64), (233), (235) imply:
% 260.96/66.67 | (239) sum(n9, n0) = all_4_34
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (94), (235), (237) imply:
% 260.96/66.67 | (240) sum(n9, n0) = all_4_32
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (77), (233), (238) imply:
% 260.96/66.67 | (241) sum(n9, n0) = all_4_33
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (81), (237), (238) imply:
% 260.96/66.67 | (242) sum(n9, n0) = all_4_37
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n9, all_4_33, n0, n9, simplifying with
% 260.96/66.67 | (16), (241) gives:
% 260.96/66.67 | (243) all_4_33 = n9
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_34, all_4_33, n0, n9, simplifying
% 260.96/66.67 | with (239), (241) gives:
% 260.96/66.67 | (244) all_4_33 = all_4_34
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_33, all_4_32, n0, n9, simplifying
% 260.96/66.67 | with (240), (241) gives:
% 260.96/66.67 | (245) all_4_32 = all_4_33
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_37, all_4_32, n0, n9, simplifying
% 260.96/66.67 | with (240), (242) gives:
% 260.96/66.67 | (246) all_4_32 = all_4_37
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (245), (246) imply:
% 260.96/66.67 | (247) all_4_33 = all_4_37
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (247) implies:
% 260.96/66.67 | (248) all_4_33 = all_4_37
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (243), (244) imply:
% 260.96/66.67 | (249) all_4_34 = n9
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (244), (248) imply:
% 260.96/66.67 | (250) all_4_34 = all_4_37
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (249), (250) imply:
% 260.96/66.67 | (251) all_4_37 = n9
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (246), (251) imply:
% 260.96/66.67 | (252) all_4_32 = n9
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (42), (243), (252) imply:
% 260.96/66.67 | (253) sum(n9, n9) = all_4_88
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (28), (249), (251) imply:
% 260.96/66.67 | (254) sum(n9, n9) = all_4_89
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n7, all_4_88, n9, n9, simplifying with
% 260.96/66.67 | (111), (253) gives:
% 260.96/66.67 | (255) all_4_88 = n7
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_89, all_4_88, n9, n9, simplifying
% 260.96/66.67 | with (253), (254) gives:
% 260.96/66.67 | (256) all_4_88 = all_4_89
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (255), (256) imply:
% 260.96/66.67 | (257) all_4_89 = n7
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (37), (255) imply:
% 260.96/66.67 | (258) pred(n7) = all_4_28
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (47), (257) imply:
% 260.96/66.67 | (259) pred(n7) = all_4_31
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (59), (255) imply:
% 260.96/66.67 | (260) succ(n7) = all_4_30
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (11), (257) imply:
% 260.96/66.67 | (261) succ(n7) = all_4_27
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with n8, all_4_27, n7, simplifying with (65),
% 260.96/66.67 | (261) gives:
% 260.96/66.67 | (262) all_4_27 = n8
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with all_4_30, all_4_27, n7, simplifying with
% 260.96/66.67 | (260), (261) gives:
% 260.96/66.67 | (263) all_4_27 = all_4_30
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with n6, all_4_28, n7, simplifying with (63),
% 260.96/66.67 | (258) gives:
% 260.96/66.67 | (264) all_4_28 = n6
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with all_4_31, all_4_28, n7, simplifying with
% 260.96/66.67 | (258), (259) gives:
% 260.96/66.67 | (265) all_4_28 = all_4_31
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (262), (263) imply:
% 260.96/66.67 | (266) all_4_30 = n8
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (264), (265) imply:
% 260.96/66.67 | (267) all_4_31 = n6
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (1), (262), (264) imply:
% 260.96/66.67 | (268) sum(n6, n8) = all_4_26
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (14), (264), (266) imply:
% 260.96/66.67 | (269) sum(n6, n8) = all_4_24
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (25), (262), (267) imply:
% 260.96/66.67 | (270) sum(n6, n8) = all_4_25
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (40), (266), (267) imply:
% 260.96/66.67 | (271) sum(n6, n8) = all_4_29
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n3, all_4_25, n8, n6, simplifying with
% 260.96/66.67 | (36), (270) gives:
% 260.96/66.67 | (272) all_4_25 = n3
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_26, all_4_25, n8, n6, simplifying
% 260.96/66.67 | with (268), (270) gives:
% 260.96/66.67 | (273) all_4_25 = all_4_26
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_25, all_4_24, n8, n6, simplifying
% 260.96/66.67 | with (269), (270) gives:
% 260.96/66.67 | (274) all_4_24 = all_4_25
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_29, all_4_24, n8, n6, simplifying
% 260.96/66.67 | with (269), (271) gives:
% 260.96/66.67 | (275) all_4_24 = all_4_29
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (274), (275) imply:
% 260.96/66.67 | (276) all_4_25 = all_4_29
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (276) implies:
% 260.96/66.67 | (277) all_4_25 = all_4_29
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (272), (273) imply:
% 260.96/66.67 | (278) all_4_26 = n3
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (273), (277) imply:
% 260.96/66.67 | (279) all_4_26 = all_4_29
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (278), (279) imply:
% 260.96/66.67 | (280) all_4_29 = n3
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (275), (280) imply:
% 260.96/66.67 | (281) all_4_24 = n3
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (5), (272), (281) imply:
% 260.96/66.67 | (282) sum(n3, n3) = all_4_86
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (45), (278), (280) imply:
% 260.96/66.67 | (283) sum(n3, n3) = all_4_87
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n6, all_4_86, n3, n3, simplifying with
% 260.96/66.67 | (19), (282) gives:
% 260.96/66.67 | (284) all_4_86 = n6
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_87, all_4_86, n3, n3, simplifying
% 260.96/66.67 | with (282), (283) gives:
% 260.96/66.67 | (285) all_4_86 = all_4_87
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (284), (285) imply:
% 260.96/66.67 | (286) all_4_87 = n6
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (286) implies:
% 260.96/66.67 | (287) all_4_87 = n6
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (33), (284) imply:
% 260.96/66.67 | (288) pred(n6) = all_4_20
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (79), (287) imply:
% 260.96/66.67 | (289) pred(n6) = all_4_23
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (29), (284) imply:
% 260.96/66.67 | (290) succ(n6) = all_4_22
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (4), (287) imply:
% 260.96/66.67 | (291) succ(n6) = all_4_19
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with n7, all_4_19, n6, simplifying with (75),
% 260.96/66.67 | (291) gives:
% 260.96/66.67 | (292) all_4_19 = n7
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with all_4_22, all_4_19, n6, simplifying with
% 260.96/66.67 | (290), (291) gives:
% 260.96/66.67 | (293) all_4_19 = all_4_22
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with n5, all_4_20, n6, simplifying with (55),
% 260.96/66.67 | (288) gives:
% 260.96/66.67 | (294) all_4_20 = n5
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (100) with all_4_23, all_4_20, n6, simplifying with
% 260.96/66.67 | (288), (289) gives:
% 260.96/66.67 | (295) all_4_20 = all_4_23
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (292), (293) imply:
% 260.96/66.67 | (296) all_4_22 = n7
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (294), (295) imply:
% 260.96/66.67 | (297) all_4_23 = n5
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (15), (292), (294) imply:
% 260.96/66.67 | (298) sum(n5, n7) = all_4_18
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (60), (294), (296) imply:
% 260.96/66.67 | (299) sum(n5, n7) = all_4_16
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (9), (292), (297) imply:
% 260.96/66.67 | (300) sum(n5, n7) = all_4_17
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (23), (296), (297) imply:
% 260.96/66.67 | (301) sum(n5, n7) = all_4_21
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n1, all_4_17, n7, n5, simplifying with
% 260.96/66.67 | (49), (300) gives:
% 260.96/66.67 | (302) all_4_17 = n1
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_18, all_4_17, n7, n5, simplifying
% 260.96/66.67 | with (298), (300) gives:
% 260.96/66.67 | (303) all_4_17 = all_4_18
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_17, all_4_16, n7, n5, simplifying
% 260.96/66.67 | with (299), (300) gives:
% 260.96/66.67 | (304) all_4_16 = all_4_17
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_21, all_4_16, n7, n5, simplifying
% 260.96/66.67 | with (299), (301) gives:
% 260.96/66.67 | (305) all_4_16 = all_4_21
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (304), (305) imply:
% 260.96/66.67 | (306) all_4_17 = all_4_21
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (306) implies:
% 260.96/66.67 | (307) all_4_17 = all_4_21
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (302), (303) imply:
% 260.96/66.67 | (308) all_4_18 = n1
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (303), (307) imply:
% 260.96/66.67 | (309) all_4_18 = all_4_21
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (308), (309) imply:
% 260.96/66.67 | (310) all_4_21 = n1
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (305), (310) imply:
% 260.96/66.67 | (311) all_4_16 = n1
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (86), (302), (311) imply:
% 260.96/66.67 | (312) sum(n1, n1) = all_4_84
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (7), (308), (310) imply:
% 260.96/66.67 | (313) sum(n1, n1) = all_4_85
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with n2, all_4_84, n1, n1, simplifying with
% 260.96/66.67 | (101), (312) gives:
% 260.96/66.67 | (314) all_4_84 = n2
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (78) with all_4_85, all_4_84, n1, n1, simplifying
% 260.96/66.67 | with (312), (313) gives:
% 260.96/66.67 | (315) all_4_84 = all_4_85
% 260.96/66.67 |
% 260.96/66.67 | COMBINE_EQS: (314), (315) imply:
% 260.96/66.67 | (316) all_4_85 = n2
% 260.96/66.67 |
% 260.96/66.67 | SIMP: (316) implies:
% 260.96/66.67 | (317) all_4_85 = n2
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (95), (314) imply:
% 260.96/66.67 | (318) pred(n2) = all_4_12
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (38), (317) imply:
% 260.96/66.67 | (319) pred(n2) = all_4_15
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (2), (314) imply:
% 260.96/66.67 | (320) succ(n2) = all_4_14
% 260.96/66.67 |
% 260.96/66.67 | REDUCE: (97), (317) imply:
% 260.96/66.67 | (321) succ(n2) = all_4_11
% 260.96/66.67 |
% 260.96/66.67 | GROUND_INST: instantiating (52) with n3, all_4_11, n2, simplifying with (73),
% 260.96/66.67 | (321) gives:
% 260.96/66.67 | (322) all_4_11 = n3
% 260.96/66.67 |
% 260.96/66.67 | REF_CLOSE: (10), (17), (39), (44), (52), (61), (66), (78), (87), (88), (91),
% 260.96/66.67 | (99), (100), (318), (319), (320), (321), (322) are inconsistent by
% 260.96/66.67 | sub-proof #199.
% 260.96/66.67 |
% 260.96/66.67 End of proof
% 260.96/66.67
% 260.96/66.67 Sub-proof #87 shows that the following formulas are inconsistent:
% 260.96/66.67 ----------------------------------------------------------------
% 260.96/66.67 (1) sum(all_4_71, all_4_70) = all_4_69
% 260.96/66.67 (2) sum(n8, n8) = n5
% 260.96/66.67 (3) succ(n4) = all_4_67
% 260.96/66.67 (4) sum(n3, n5) = n8
% 260.96/66.67 (5) sum(all_4_65, all_4_64) = all_4_96
% 260.96/66.67 (6) pred(n4) = n3
% 260.96/66.67 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 260.96/66.67 ~ (succ(v2) = v0))
% 260.96/66.67 (8) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.67 (9) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.67 (10) all_4_99 = n4
% 261.05/66.67 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.67 (12) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.67 (13) pred(n4) = all_4_68
% 261.05/66.67 (14) succ(n4) = n5
% 261.05/66.67 (15) pred(n4) = all_4_71
% 261.05/66.67 (16) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.67 (17) all_4_98 = n4
% 261.05/66.67 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.67 | ~ (pred(v2) = v0))
% 261.05/66.67 (19) succ(n4) = all_4_70
% 261.05/66.67 (20) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.67
% 261.05/66.67 Begin of proof
% 261.05/66.67 |
% 261.05/66.67 | BETA: splitting (20) gives:
% 261.05/66.67 |
% 261.05/66.67 | Case 1:
% 261.05/66.67 | |
% 261.05/66.67 | | (21) ~ (all_4_96 = all_4_97)
% 261.05/66.67 | |
% 261.05/66.67 | | GROUND_INST: instantiating (7) with n5, all_4_67, n4, simplifying with (3),
% 261.05/66.67 | | (14) gives:
% 261.05/66.67 | | (22) all_4_67 = n5
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 261.05/66.67 | | (15), (16), (18), (19), (21), (22) are inconsistent by sub-proof
% 261.05/66.67 | | #97.
% 261.05/66.67 | |
% 261.05/66.67 | Case 2:
% 261.05/66.67 | |
% 261.05/66.67 | | (23) ~ (all_4_98 = all_4_99)
% 261.05/66.67 | |
% 261.05/66.67 | | REDUCE: (10), (17), (23) imply:
% 261.05/66.67 | | (24) $false
% 261.05/66.67 | |
% 261.05/66.67 | | CLOSE: (24) is inconsistent.
% 261.05/66.67 | |
% 261.05/66.67 | End of split
% 261.05/66.67 |
% 261.05/66.67 End of proof
% 261.05/66.67
% 261.05/66.67 Sub-proof #88 shows that the following formulas are inconsistent:
% 261.05/66.67 ----------------------------------------------------------------
% 261.05/66.67 (1) succ(n2) = all_4_62
% 261.05/66.67 (2) pred(n2) = all_4_60
% 261.05/66.67 (3) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.67 (4) pred(n2) = all_4_63
% 261.05/66.67 (5) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.67 (6) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.67 (7) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.05/66.67 all_4_99)
% 261.05/66.67 (8) all_4_98 = n6
% 261.05/66.67 (9) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.67 (10) all_4_96 = n2
% 261.05/66.67 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.67 | ~ (succ(v2) = v0))
% 261.05/66.67 (12) all_4_97 = n2
% 261.05/66.67 (13) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.67 (14) succ(n2) = n3
% 261.05/66.67 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.67 (16) succ(n2) = all_4_59
% 261.05/66.67 (17) pred(n2) = n1
% 261.05/66.67 (18) sum(n4, n4) = n8
% 261.05/66.67 (19) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.67 (20) all_4_99 = n6
% 261.05/66.67 (21) sum(n1, n3) = n4
% 261.05/66.67 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.67 | ~ (pred(v2) = v0))
% 261.05/66.67
% 261.05/66.67 Begin of proof
% 261.05/66.67 |
% 261.05/66.67 | BETA: splitting (7) gives:
% 261.05/66.67 |
% 261.05/66.67 | Case 1:
% 261.05/66.67 | |
% 261.05/66.67 | | (23) ~ (all_4_94 = all_4_95)
% 261.05/66.67 | |
% 261.05/66.67 | | GROUND_INST: instantiating (11) with n3, all_4_59, n2, simplifying with
% 261.05/66.67 | | (14), (16) gives:
% 261.05/66.67 | | (24) all_4_59 = n3
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (11), (13), (15), (16), (17),
% 261.05/66.67 | | (18), (19), (21), (22), (23), (24) are inconsistent by sub-proof
% 261.05/66.67 | | #105.
% 261.05/66.67 | |
% 261.05/66.67 | Case 2:
% 261.05/66.67 | |
% 261.05/66.67 | | (25) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (8), (10), (12), (20), (25) are inconsistent by sub-proof #104.
% 261.05/66.67 | |
% 261.05/66.67 | End of split
% 261.05/66.67 |
% 261.05/66.67 End of proof
% 261.05/66.67
% 261.05/66.67 Sub-proof #89 shows that the following formulas are inconsistent:
% 261.05/66.67 ----------------------------------------------------------------
% 261.05/66.67 (1) pred(n7) = all_4_52
% 261.05/66.67 (2) sum(all_4_52, all_4_54) = all_4_48
% 261.05/66.67 (3) sum(n3, n3) = n6
% 261.05/66.67 (4) sum(all_4_55, all_4_54) = all_4_53
% 261.05/66.67 (5) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.05/66.67 all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.67 (6) pred(n7) = all_4_55
% 261.05/66.67 (7) succ(n7) = all_4_54
% 261.05/66.67 (8) all_4_96 = n10
% 261.05/66.67 (9) all_4_94 = n7
% 261.05/66.67 (10) sum(n6, n8) = n3
% 261.05/66.67 (11) all_4_97 = n10
% 261.05/66.67 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.67 | ~ (succ(v2) = v0))
% 261.05/66.67 (13) sum(all_4_55, all_4_51) = all_4_49
% 261.05/66.67 (14) pred(n7) = n6
% 261.05/66.67 (15) succ(n7) = n8
% 261.05/66.67 (16) all_4_99 = n8
% 261.05/66.67 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.67 (18) succ(n7) = all_4_51
% 261.05/66.67 (19) all_4_95 = n7
% 261.05/66.67 (20) all_4_98 = n8
% 261.05/66.67 (21) sum(all_4_49, all_4_48) = all_4_92
% 261.05/66.67 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.67 | ~ (pred(v2) = v0))
% 261.05/66.67 (23) sum(all_4_52, all_4_51) = all_4_50
% 261.05/66.67 (24) sum(all_4_53, all_4_50) = all_4_93
% 261.05/66.67
% 261.05/66.67 Begin of proof
% 261.05/66.67 |
% 261.05/66.67 | BETA: splitting (5) gives:
% 261.05/66.67 |
% 261.05/66.67 | Case 1:
% 261.05/66.67 | |
% 261.05/66.67 | | (25) ~ (all_4_92 = all_4_93)
% 261.05/66.67 | |
% 261.05/66.67 | | GROUND_INST: instantiating (12) with n8, all_4_51, n7, simplifying with
% 261.05/66.67 | | (15), (18) gives:
% 261.05/66.67 | | (26) all_4_51 = n8
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (12), (13), (14), (17), (18),
% 261.05/66.67 | | (21), (22), (23), (24), (25), (26) are inconsistent by sub-proof
% 261.05/66.67 | | #116.
% 261.05/66.67 | |
% 261.05/66.67 | Case 2:
% 261.05/66.67 | |
% 261.05/66.67 | | (27) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.05/66.67 | | all_4_99)
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (8), (9), (11), (16), (19), (20), (27) are inconsistent by
% 261.05/66.67 | | sub-proof #114.
% 261.05/66.67 | |
% 261.05/66.67 | End of split
% 261.05/66.67 |
% 261.05/66.67 End of proof
% 261.05/66.67
% 261.05/66.67 Sub-proof #90 shows that the following formulas are inconsistent:
% 261.05/66.67 ----------------------------------------------------------------
% 261.05/66.67 (1) pred(n2) = all_4_47
% 261.05/66.67 (2) sum(all_4_44, all_4_46) = all_4_40
% 261.05/66.67 (3) all_4_97 = n7
% 261.05/66.67 (4) pred(n2) = all_4_44
% 261.05/66.67 (5) all_4_96 = n7
% 261.05/66.67 (6) all_4_93 = n2
% 261.05/66.67 (7) sum(all_4_47, all_4_43) = all_4_41
% 261.05/66.67 (8) all_4_99 = n10
% 261.05/66.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.67 ~ (succ(v2) = v0))
% 261.05/66.67 (10) sum(all_4_47, all_4_46) = all_4_45
% 261.05/66.67 (11) all_4_98 = n10
% 261.05/66.67 (12) sum(all_4_41, all_4_40) = all_4_90
% 261.05/66.67 (13) succ(n2) = n3
% 261.05/66.67 (14) all_4_95 = n6
% 261.05/66.67 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.67 (16) sum(all_4_45, all_4_42) = all_4_91
% 261.05/66.67 (17) sum(all_4_44, all_4_43) = all_4_42
% 261.05/66.67 (18) pred(n2) = n1
% 261.05/66.67 (19) succ(n2) = all_4_43
% 261.05/66.67 (20) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.05/66.67 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.67 (21) sum(n4, n4) = n8
% 261.05/66.67 (22) all_4_92 = n2
% 261.05/66.67 (23) succ(n2) = all_4_46
% 261.05/66.67 (24) sum(n1, n3) = n4
% 261.05/66.67 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.67 | ~ (pred(v2) = v0))
% 261.05/66.67 (26) all_4_94 = n6
% 261.05/66.67
% 261.05/66.67 Begin of proof
% 261.05/66.67 |
% 261.05/66.67 | BETA: splitting (20) gives:
% 261.05/66.67 |
% 261.05/66.67 | Case 1:
% 261.05/66.67 | |
% 261.05/66.67 | | (27) ~ (all_4_90 = all_4_91)
% 261.05/66.67 | |
% 261.05/66.67 | | GROUND_INST: instantiating (9) with n3, all_4_43, n2, simplifying with (13),
% 261.05/66.67 | | (19) gives:
% 261.05/66.67 | | (28) all_4_43 = n3
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (1), (2), (4), (7), (9), (10), (12), (15), (16), (17), (18),
% 261.05/66.67 | | (19), (21), (23), (24), (25), (27), (28) are inconsistent by
% 261.05/66.67 | | sub-proof #129.
% 261.05/66.67 | |
% 261.05/66.67 | Case 2:
% 261.05/66.67 | |
% 261.05/66.67 | | (29) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.05/66.67 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.67 | |
% 261.05/66.67 | | REF_CLOSE: (3), (5), (6), (8), (11), (14), (22), (26), (29) are inconsistent
% 261.05/66.67 | | by sub-proof #126.
% 261.05/66.67 | |
% 261.05/66.67 | End of split
% 261.05/66.67 |
% 261.05/66.67 End of proof
% 261.05/66.67
% 261.05/66.67 Sub-proof #91 shows that the following formulas are inconsistent:
% 261.05/66.67 ----------------------------------------------------------------
% 261.05/66.67 (1) sum(n2, n4) = n6
% 261.05/66.67 (2) sum(all_4_37, all_4_34) = all_4_89
% 261.05/66.67 (3) all_4_94 = n5
% 261.05/66.67 (4) all_4_97 = n4
% 261.05/66.67 (5) all_4_96 = n4
% 261.05/66.67 (6) sum(all_4_33, all_4_32) = all_4_88
% 261.05/66.67 (7) pred(n3) = all_4_39
% 261.05/66.67 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.67 ~ (succ(v2) = v0))
% 261.05/66.68 (9) succ(n3) = n4
% 261.05/66.68 (10) pred(n3) = all_4_36
% 261.05/66.68 (11) pred(n3) = n2
% 261.05/66.68 (12) all_4_92 = n9
% 261.05/66.68 (13) all_4_90 = n3
% 261.05/66.68 (14) sum(all_4_36, all_4_35) = all_4_34
% 261.05/66.68 (15) all_4_93 = n9
% 261.05/66.68 (16) sum(all_4_39, all_4_35) = all_4_33
% 261.05/66.68 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (18) succ(n3) = all_4_35
% 261.05/66.68 (19) sum(all_4_39, all_4_38) = all_4_37
% 261.05/66.68 (20) sum(n6, n6) = n1
% 261.05/66.68 (21) succ(n3) = all_4_38
% 261.05/66.68 (22) all_4_99 = n1
% 261.05/66.68 (23) sum(all_4_36, all_4_38) = all_4_32
% 261.05/66.68 (24) all_4_98 = n1
% 261.05/66.68 (25) all_4_95 = n5
% 261.05/66.68 (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68 (27) all_4_91 = n3
% 261.05/66.68 (28) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.05/66.68 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 261.05/66.68 (all_4_98 = all_4_99)
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | BETA: splitting (28) gives:
% 261.05/66.68 |
% 261.05/66.68 | Case 1:
% 261.05/66.68 | |
% 261.05/66.68 | | (29) ~ (all_4_88 = all_4_89)
% 261.05/66.68 | |
% 261.05/66.68 | | GROUND_INST: instantiating (8) with n4, all_4_35, n3, simplifying with (9),
% 261.05/66.68 | | (18) gives:
% 261.05/66.68 | | (30) all_4_35 = n4
% 261.05/66.68 | |
% 261.05/66.68 | | REF_CLOSE: (1), (2), (6), (7), (8), (10), (11), (14), (16), (17), (18),
% 261.05/66.68 | | (19), (20), (21), (23), (26), (29), (30) are inconsistent by
% 261.05/66.68 | | sub-proof #145.
% 261.05/66.68 | |
% 261.05/66.68 | Case 2:
% 261.05/66.68 | |
% 261.05/66.68 | | (31) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.05/66.68 | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.68 | |
% 261.05/66.68 | | REF_CLOSE: (3), (4), (5), (12), (13), (15), (22), (24), (25), (27), (31) are
% 261.05/66.68 | | inconsistent by sub-proof #141.
% 261.05/66.68 | |
% 261.05/66.68 | End of split
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #92 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.05/66.68 (2) sum(all_4_25, all_4_24) = all_4_86
% 261.05/66.68 (3) all_4_97 = n1
% 261.05/66.68 (4) sum(all_4_28, all_4_30) = all_4_24
% 261.05/66.68 (5) sum(n2, n4) = n6
% 261.05/66.68 (6) sum(all_4_31, all_4_27) = all_4_25
% 261.05/66.68 (7) all_4_90 = n9
% 261.05/66.68 (8) all_4_88 = n3
% 261.05/66.68 (9) sum(all_4_31, all_4_30) = all_4_29
% 261.05/66.68 (10) all_4_93 = n5
% 261.05/66.68 (11) sum(all_4_29, all_4_26) = all_4_87
% 261.05/66.68 (12) all_4_96 = n1
% 261.05/66.68 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.68 | ~ (succ(v2) = v0))
% 261.05/66.68 (14) succ(n3) = n4
% 261.05/66.68 (15) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 261.05/66.68 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 261.05/66.68 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.68 (16) pred(n3) = n2
% 261.05/66.68 (17) all_4_98 = n3
% 261.05/66.68 (18) succ(n3) = all_4_30
% 261.05/66.68 (19) pred(n3) = all_4_28
% 261.05/66.68 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (21) all_4_89 = n3
% 261.05/66.68 (22) sum(n6, n6) = n1
% 261.05/66.68 (23) all_4_91 = n9
% 261.05/66.68 (24) all_4_95 = n4
% 261.05/66.68 (25) succ(n3) = all_4_27
% 261.05/66.68 (26) all_4_94 = n4
% 261.05/66.68 (27) all_4_99 = n3
% 261.05/66.68 (28) all_4_92 = n5
% 261.05/66.68 (29) pred(n3) = all_4_31
% 261.05/66.68 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | BETA: splitting (15) gives:
% 261.05/66.68 |
% 261.05/66.68 | Case 1:
% 261.05/66.68 | |
% 261.05/66.68 | | (31) ~ (all_4_86 = all_4_87)
% 261.05/66.68 | |
% 261.05/66.68 | | GROUND_INST: instantiating (13) with n4, all_4_27, n3, simplifying with
% 261.05/66.68 | | (14), (25) gives:
% 261.05/66.68 | | (32) all_4_27 = n4
% 261.05/66.68 | |
% 261.05/66.68 | | REF_CLOSE: (1), (2), (4), (5), (6), (9), (11), (13), (16), (18), (19), (20),
% 261.05/66.68 | | (22), (25), (29), (30), (31), (32) are inconsistent by sub-proof
% 261.05/66.68 | | #162.
% 261.05/66.68 | |
% 261.05/66.68 | Case 2:
% 261.05/66.68 | |
% 261.05/66.68 | | (33) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.05/66.68 | | all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 261.05/66.68 | | ~ (all_4_98 = all_4_99)
% 261.05/66.68 | |
% 261.05/66.68 | | REF_CLOSE: (3), (7), (8), (10), (12), (17), (21), (23), (24), (26), (27),
% 261.05/66.68 | | (28), (33) are inconsistent by sub-proof #157.
% 261.05/66.68 | |
% 261.05/66.68 | End of split
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #93 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) all_4_98 = n9
% 261.05/66.68 (2) succ(n9) = n10
% 261.05/66.68 (3) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.68 (4) pred(all_4_99) = all_4_71
% 261.05/66.68 (5) sum(n8, n10) = n7
% 261.05/66.68 (6) sum(n10, n10) = n9
% 261.05/66.68 (7) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.68 (8) sum(n10, n10) = all_4_99
% 261.05/66.68 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.68 ~ (succ(v2) = v0))
% 261.05/66.68 (10) succ(all_4_99) = all_4_67
% 261.05/66.68 (11) pred(n9) = n8
% 261.05/66.68 (12) ~ (all_4_96 = all_4_97)
% 261.05/66.68 (13) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.68 (14) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.68 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (16) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.68 (17) succ(all_4_98) = all_4_70
% 261.05/66.68 (18) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.68 (19) sum(n7, n7) = n3
% 261.05/66.68 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68 (21) pred(all_4_98) = all_4_68
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with n9, all_4_99, n10, n10, simplifying with
% 261.05/66.68 | (6), (8) gives:
% 261.05/66.68 | (22) all_4_99 = n9
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (21) imply:
% 261.05/66.68 | (23) pred(n9) = all_4_68
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (4), (22) imply:
% 261.05/66.68 | (24) pred(n9) = all_4_71
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (17) imply:
% 261.05/66.68 | (25) succ(n9) = all_4_70
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (10), (22) imply:
% 261.05/66.68 | (26) succ(n9) = all_4_67
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (9) with n10, all_4_67, n9, simplifying with (2),
% 261.05/66.68 | (26) gives:
% 261.05/66.68 | (27) all_4_67 = n10
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (9) with all_4_70, all_4_67, n9, simplifying with
% 261.05/66.68 | (25), (26) gives:
% 261.05/66.68 | (28) all_4_67 = all_4_70
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (20) with n8, all_4_68, n9, simplifying with (11),
% 261.05/66.68 | (23) gives:
% 261.05/66.68 | (29) all_4_68 = n8
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (20) with all_4_71, all_4_68, n9, simplifying with
% 261.05/66.68 | (23), (24) gives:
% 261.05/66.68 | (30) all_4_68 = all_4_71
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (27), (28) imply:
% 261.05/66.68 | (31) all_4_70 = n10
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (29), (30) imply:
% 261.05/66.68 | (32) all_4_71 = n8
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (14), (27), (29) imply:
% 261.05/66.68 | (33) sum(n8, n10) = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (18), (29), (31) imply:
% 261.05/66.68 | (34) sum(n8, n10) = all_4_64
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (13), (27), (32) imply:
% 261.05/66.68 | (35) sum(n8, n10) = all_4_65
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (3), (31), (32) imply:
% 261.05/66.68 | (36) sum(n8, n10) = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with n7, all_4_65, n10, n8, simplifying with
% 261.05/66.68 | (5), (35) gives:
% 261.05/66.68 | (37) all_4_65 = n7
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with all_4_66, all_4_65, n10, n8, simplifying
% 261.05/66.68 | with (33), (35) gives:
% 261.05/66.68 | (38) all_4_65 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with all_4_66, all_4_64, n10, n8, simplifying
% 261.05/66.68 | with (33), (34) gives:
% 261.05/66.68 | (39) all_4_64 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with all_4_69, all_4_64, n10, n8, simplifying
% 261.05/66.68 | with (34), (36) gives:
% 261.05/66.68 | (40) all_4_64 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (39), (40) imply:
% 261.05/66.68 | (41) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (41) implies:
% 261.05/66.68 | (42) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (37), (38) imply:
% 261.05/66.68 | (43) all_4_66 = n7
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (43) implies:
% 261.05/66.68 | (44) all_4_66 = n7
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (42), (44) imply:
% 261.05/66.68 | (45) all_4_69 = n7
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (40), (45) imply:
% 261.05/66.68 | (46) all_4_64 = n7
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (7), (37), (46) imply:
% 261.05/66.68 | (47) sum(n7, n7) = all_4_96
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (16), (44), (45) imply:
% 261.05/66.68 | (48) sum(n7, n7) = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with n3, all_4_96, n7, n7, simplifying with
% 261.05/66.68 | (19), (47) gives:
% 261.05/66.68 | (49) all_4_96 = n3
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (15) with all_4_97, all_4_96, n7, n7, simplifying
% 261.05/66.68 | with (47), (48) gives:
% 261.05/66.68 | (50) all_4_96 = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (49), (50) imply:
% 261.05/66.68 | (51) all_4_97 = n3
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (51) implies:
% 261.05/66.68 | (52) all_4_97 = n3
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (12), (49), (52) imply:
% 261.05/66.68 | (53) $false
% 261.05/66.68 |
% 261.05/66.68 | CLOSE: (53) is inconsistent.
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #94 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) all_4_99 = n0
% 261.05/66.68 (2) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.68 (3) sum(n10, n1) = n0
% 261.05/66.68 (4) pred(all_4_99) = all_4_71
% 261.05/66.68 (5) all_4_98 = n0
% 261.05/66.68 (6) succ(n0) = n1
% 261.05/66.68 (7) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.68 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.68 ~ (succ(v2) = v0))
% 261.05/66.68 (9) succ(all_4_99) = all_4_67
% 261.05/66.68 (10) ~ (all_4_96 = all_4_97)
% 261.05/66.68 (11) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.68 (12) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.68 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (14) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.68 (15) sum(n0, n0) = all_4_99
% 261.05/66.68 (16) succ(all_4_98) = all_4_70
% 261.05/66.68 (17) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.68 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68 (19) pred(all_4_98) = all_4_68
% 261.05/66.68 (20) pred(n0) = n10
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (5), (19) imply:
% 261.05/66.68 | (21) pred(n0) = all_4_68
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (4) imply:
% 261.05/66.68 | (22) pred(n0) = all_4_71
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (5), (16) imply:
% 261.05/66.68 | (23) succ(n0) = all_4_70
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (9) imply:
% 261.05/66.68 | (24) succ(n0) = all_4_67
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (15) imply:
% 261.05/66.68 | (25) sum(n0, n0) = n0
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (8) with n1, all_4_67, n0, simplifying with (6),
% 261.05/66.68 | (24) gives:
% 261.05/66.68 | (26) all_4_67 = n1
% 261.05/66.68 |
% 261.05/66.68 | REF_CLOSE: (2), (3), (7), (8), (10), (11), (12), (13), (14), (17), (18), (20),
% 261.05/66.68 | (21), (22), (23), (24), (25), (26) are inconsistent by sub-proof
% 261.05/66.68 | #95.
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #95 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) all_4_67 = n1
% 261.05/66.68 (2) succ(n0) = all_4_70
% 261.05/66.68 (3) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.68 (4) succ(n0) = all_4_67
% 261.05/66.68 (5) sum(n10, n1) = n0
% 261.05/66.68 (6) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.68 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.68 ~ (succ(v2) = v0))
% 261.05/66.68 (8) sum(n0, n0) = n0
% 261.05/66.68 (9) pred(n0) = all_4_71
% 261.05/66.68 (10) ~ (all_4_96 = all_4_97)
% 261.05/66.68 (11) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.68 (12) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.68 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (14) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.68 (15) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.68 (16) pred(n0) = all_4_68
% 261.05/66.68 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68 (18) pred(n0) = n10
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (7) with all_4_70, all_4_67, n0, simplifying with
% 261.05/66.68 | (2), (4) gives:
% 261.05/66.68 | (19) all_4_67 = all_4_70
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (17) with n10, all_4_68, n0, simplifying with (16),
% 261.05/66.68 | (18) gives:
% 261.05/66.68 | (20) all_4_68 = n10
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (17) with all_4_71, all_4_68, n0, simplifying with
% 261.05/66.68 | (9), (16) gives:
% 261.05/66.68 | (21) all_4_68 = all_4_71
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (1), (19) imply:
% 261.05/66.68 | (22) all_4_70 = n1
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.68 | (23) all_4_71 = n10
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (12), (20) imply:
% 261.05/66.68 | (24) sum(n10, n1) = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (15), (20), (22) imply:
% 261.05/66.68 | (25) sum(n10, n1) = all_4_64
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (11), (23) imply:
% 261.05/66.68 | (26) sum(n10, n1) = all_4_65
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (3), (22), (23) imply:
% 261.05/66.68 | (27) sum(n10, n1) = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (13) with n0, all_4_65, n1, n10, simplifying with
% 261.05/66.68 | (5), (26) gives:
% 261.05/66.68 | (28) all_4_65 = n0
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (13) with all_4_66, all_4_65, n1, n10, simplifying
% 261.05/66.68 | with (24), (26) gives:
% 261.05/66.68 | (29) all_4_65 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (13) with all_4_66, all_4_64, n1, n10, simplifying
% 261.05/66.68 | with (24), (25) gives:
% 261.05/66.68 | (30) all_4_64 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (13) with all_4_69, all_4_64, n1, n10, simplifying
% 261.05/66.68 | with (25), (27) gives:
% 261.05/66.68 | (31) all_4_64 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.68 | (32) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (32) implies:
% 261.05/66.68 | (33) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.68 | (34) all_4_66 = n0
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (34) implies:
% 261.05/66.68 | (35) all_4_66 = n0
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (33), (35) imply:
% 261.05/66.68 | (36) all_4_69 = n0
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.68 | (37) all_4_64 = n0
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (6), (28), (37) imply:
% 261.05/66.68 | (38) sum(n0, n0) = all_4_96
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (14), (35), (36) imply:
% 261.05/66.68 | (39) sum(n0, n0) = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (13) with n0, all_4_96, n0, n0, simplifying with
% 261.05/66.68 | (8), (38) gives:
% 261.05/66.68 | (40) all_4_96 = n0
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (13) with all_4_97, all_4_96, n0, n0, simplifying
% 261.05/66.68 | with (38), (39) gives:
% 261.05/66.68 | (41) all_4_96 = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.68 | (42) all_4_97 = n0
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (42) implies:
% 261.05/66.68 | (43) all_4_97 = n0
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (10), (40), (43) imply:
% 261.05/66.68 | (44) $false
% 261.05/66.68 |
% 261.05/66.68 | CLOSE: (44) is inconsistent.
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #96 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) pred(n2) = all_4_68
% 261.05/66.68 (2) all_4_67 = n3
% 261.05/66.68 (3) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.68 (4) succ(n2) = all_4_70
% 261.05/66.68 (5) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.68 ~ (succ(v2) = v0))
% 261.05/66.68 (7) ~ (all_4_96 = all_4_97)
% 261.05/66.68 (8) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.68 (9) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.68 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (11) pred(n2) = all_4_71
% 261.05/66.68 (12) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.68 (13) succ(n2) = all_4_67
% 261.05/66.68 (14) pred(n2) = n1
% 261.05/66.68 (15) sum(n4, n4) = n8
% 261.05/66.68 (16) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.68 (17) sum(n1, n3) = n4
% 261.05/66.68 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (6) with all_4_70, all_4_67, n2, simplifying with
% 261.05/66.68 | (4), (13) gives:
% 261.05/66.68 | (19) all_4_67 = all_4_70
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (18) with n1, all_4_68, n2, simplifying with (1),
% 261.05/66.68 | (14) gives:
% 261.05/66.68 | (20) all_4_68 = n1
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (18) with all_4_71, all_4_68, n2, simplifying with
% 261.05/66.68 | (1), (11) gives:
% 261.05/66.68 | (21) all_4_68 = all_4_71
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (2), (19) imply:
% 261.05/66.68 | (22) all_4_70 = n3
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.68 | (23) all_4_71 = n1
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (2), (9), (20) imply:
% 261.05/66.68 | (24) sum(n1, n3) = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (16), (20), (22) imply:
% 261.05/66.68 | (25) sum(n1, n3) = all_4_64
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (2), (8), (23) imply:
% 261.05/66.68 | (26) sum(n1, n3) = all_4_65
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (3), (22), (23) imply:
% 261.05/66.68 | (27) sum(n1, n3) = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (10) with n4, all_4_65, n3, n1, simplifying with
% 261.05/66.68 | (17), (26) gives:
% 261.05/66.68 | (28) all_4_65 = n4
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (10) with all_4_66, all_4_65, n3, n1, simplifying
% 261.05/66.68 | with (24), (26) gives:
% 261.05/66.68 | (29) all_4_65 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (10) with all_4_66, all_4_64, n3, n1, simplifying
% 261.05/66.68 | with (24), (25) gives:
% 261.05/66.68 | (30) all_4_64 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (10) with all_4_69, all_4_64, n3, n1, simplifying
% 261.05/66.68 | with (25), (27) gives:
% 261.05/66.68 | (31) all_4_64 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.68 | (32) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (32) implies:
% 261.05/66.68 | (33) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.68 | (34) all_4_66 = n4
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (34) implies:
% 261.05/66.68 | (35) all_4_66 = n4
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (33), (35) imply:
% 261.05/66.68 | (36) all_4_69 = n4
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.68 | (37) all_4_64 = n4
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (5), (28), (37) imply:
% 261.05/66.68 | (38) sum(n4, n4) = all_4_96
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (12), (35), (36) imply:
% 261.05/66.68 | (39) sum(n4, n4) = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (10) with n8, all_4_96, n4, n4, simplifying with
% 261.05/66.68 | (15), (38) gives:
% 261.05/66.68 | (40) all_4_96 = n8
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (10) with all_4_97, all_4_96, n4, n4, simplifying
% 261.05/66.68 | with (38), (39) gives:
% 261.05/66.68 | (41) all_4_96 = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.68 | (42) all_4_97 = n8
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (42) implies:
% 261.05/66.68 | (43) all_4_97 = n8
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (7), (40), (43) imply:
% 261.05/66.68 | (44) $false
% 261.05/66.68 |
% 261.05/66.68 | CLOSE: (44) is inconsistent.
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #97 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.68 (2) sum(n8, n8) = n5
% 261.05/66.68 (3) succ(n4) = all_4_67
% 261.05/66.68 (4) all_4_67 = n5
% 261.05/66.68 (5) sum(n3, n5) = n8
% 261.05/66.68 (6) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.68 (7) pred(n4) = n3
% 261.05/66.68 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.68 ~ (succ(v2) = v0))
% 261.05/66.68 (9) ~ (all_4_96 = all_4_97)
% 261.05/66.68 (10) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.68 (11) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.68 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.68 (13) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.68 (14) pred(n4) = all_4_68
% 261.05/66.68 (15) pred(n4) = all_4_71
% 261.05/66.68 (16) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.68 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.68 | ~ (pred(v2) = v0))
% 261.05/66.68 (18) succ(n4) = all_4_70
% 261.05/66.68
% 261.05/66.68 Begin of proof
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (8) with all_4_70, all_4_67, n4, simplifying with
% 261.05/66.68 | (3), (18) gives:
% 261.05/66.68 | (19) all_4_67 = all_4_70
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (17) with n3, all_4_68, n4, simplifying with (7),
% 261.05/66.68 | (14) gives:
% 261.05/66.68 | (20) all_4_68 = n3
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (17) with all_4_71, all_4_68, n4, simplifying with
% 261.05/66.68 | (14), (15) gives:
% 261.05/66.68 | (21) all_4_68 = all_4_71
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (4), (19) imply:
% 261.05/66.68 | (22) all_4_70 = n5
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.68 | (23) all_4_71 = n3
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (4), (11), (20) imply:
% 261.05/66.68 | (24) sum(n3, n5) = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (16), (20), (22) imply:
% 261.05/66.68 | (25) sum(n3, n5) = all_4_64
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (4), (10), (23) imply:
% 261.05/66.68 | (26) sum(n3, n5) = all_4_65
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (1), (22), (23) imply:
% 261.05/66.68 | (27) sum(n3, n5) = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (12) with n8, all_4_65, n5, n3, simplifying with
% 261.05/66.68 | (5), (26) gives:
% 261.05/66.68 | (28) all_4_65 = n8
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (12) with all_4_66, all_4_65, n5, n3, simplifying
% 261.05/66.68 | with (24), (26) gives:
% 261.05/66.68 | (29) all_4_65 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (12) with all_4_66, all_4_64, n5, n3, simplifying
% 261.05/66.68 | with (24), (25) gives:
% 261.05/66.68 | (30) all_4_64 = all_4_66
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (12) with all_4_69, all_4_64, n5, n3, simplifying
% 261.05/66.68 | with (25), (27) gives:
% 261.05/66.68 | (31) all_4_64 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.68 | (32) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (32) implies:
% 261.05/66.68 | (33) all_4_66 = all_4_69
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.68 | (34) all_4_66 = n8
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (34) implies:
% 261.05/66.68 | (35) all_4_66 = n8
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (33), (35) imply:
% 261.05/66.68 | (36) all_4_69 = n8
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.68 | (37) all_4_64 = n8
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (6), (28), (37) imply:
% 261.05/66.68 | (38) sum(n8, n8) = all_4_96
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (13), (35), (36) imply:
% 261.05/66.68 | (39) sum(n8, n8) = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (12) with n5, all_4_96, n8, n8, simplifying with
% 261.05/66.68 | (2), (38) gives:
% 261.05/66.68 | (40) all_4_96 = n5
% 261.05/66.68 |
% 261.05/66.68 | GROUND_INST: instantiating (12) with all_4_97, all_4_96, n8, n8, simplifying
% 261.05/66.68 | with (38), (39) gives:
% 261.05/66.68 | (41) all_4_96 = all_4_97
% 261.05/66.68 |
% 261.05/66.68 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.68 | (42) all_4_97 = n5
% 261.05/66.68 |
% 261.05/66.68 | SIMP: (42) implies:
% 261.05/66.68 | (43) all_4_97 = n5
% 261.05/66.68 |
% 261.05/66.68 | REDUCE: (9), (40), (43) imply:
% 261.05/66.68 | (44) $false
% 261.05/66.68 |
% 261.05/66.68 | CLOSE: (44) is inconsistent.
% 261.05/66.68 |
% 261.05/66.68 End of proof
% 261.05/66.68
% 261.05/66.68 Sub-proof #98 shows that the following formulas are inconsistent:
% 261.05/66.68 ----------------------------------------------------------------
% 261.05/66.68 (1) all_4_98 = n9
% 261.05/66.68 (2) succ(n9) = n10
% 261.05/66.68 (3) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.69 (4) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.69 (5) sum(n2, n4) = n6
% 261.05/66.69 (6) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.69 (7) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.69 (8) pred(all_4_99) = all_4_71
% 261.05/66.69 (9) sum(n8, n10) = n7
% 261.05/66.69 (10) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.69 (11) sum(n10, n10) = n9
% 261.05/66.69 (12) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.69 (13) sum(n10, n10) = all_4_99
% 261.05/66.69 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.69 | ~ (succ(v2) = v0))
% 261.05/66.69 (15) pred(all_4_97) = all_4_63
% 261.05/66.69 (16) succ(all_4_99) = all_4_67
% 261.05/66.69 (17) pred(n9) = n8
% 261.05/66.69 (18) succ(n3) = n4
% 261.05/66.69 (19) pred(all_4_96) = all_4_60
% 261.05/66.69 (20) succ(all_4_96) = all_4_62
% 261.05/66.69 (21) pred(n3) = n2
% 261.05/66.69 (22) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.69 (23) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.69 (24) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.69 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.69 (26) sum(n6, n6) = n1
% 261.05/66.69 (27) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.69 (28) succ(all_4_98) = all_4_70
% 261.05/66.69 (29) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.69 (30) succ(all_4_97) = all_4_59
% 261.05/66.69 (31) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.69 (32) sum(n7, n7) = n3
% 261.05/66.69 (33) ~ (all_4_94 = all_4_95)
% 261.05/66.69 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.69 | ~ (pred(v2) = v0))
% 261.05/66.69 (35) pred(all_4_98) = all_4_68
% 261.05/66.69
% 261.05/66.69 Begin of proof
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with n9, all_4_99, n10, n10, simplifying with
% 261.05/66.69 | (11), (13) gives:
% 261.05/66.69 | (36) all_4_99 = n9
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (1), (35) imply:
% 261.05/66.69 | (37) pred(n9) = all_4_68
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (8), (36) imply:
% 261.05/66.69 | (38) pred(n9) = all_4_71
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (1), (28) imply:
% 261.05/66.69 | (39) succ(n9) = all_4_70
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (16), (36) imply:
% 261.05/66.69 | (40) succ(n9) = all_4_67
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with n10, all_4_67, n9, simplifying with (2),
% 261.05/66.69 | (40) gives:
% 261.05/66.69 | (41) all_4_67 = n10
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with all_4_70, all_4_67, n9, simplifying with
% 261.05/66.69 | (39), (40) gives:
% 261.05/66.69 | (42) all_4_67 = all_4_70
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (34) with n8, all_4_68, n9, simplifying with (17),
% 261.05/66.69 | (37) gives:
% 261.05/66.69 | (43) all_4_68 = n8
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (34) with all_4_71, all_4_68, n9, simplifying with
% 261.05/66.69 | (37), (38) gives:
% 261.05/66.69 | (44) all_4_68 = all_4_71
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (41), (42) imply:
% 261.05/66.69 | (45) all_4_70 = n10
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (43), (44) imply:
% 261.05/66.69 | (46) all_4_71 = n8
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (24), (41), (43) imply:
% 261.05/66.69 | (47) sum(n8, n10) = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (29), (43), (45) imply:
% 261.05/66.69 | (48) sum(n8, n10) = all_4_64
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (22), (41), (46) imply:
% 261.05/66.69 | (49) sum(n8, n10) = all_4_65
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (4), (45), (46) imply:
% 261.05/66.69 | (50) sum(n8, n10) = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with n7, all_4_65, n10, n8, simplifying with
% 261.05/66.69 | (9), (49) gives:
% 261.05/66.69 | (51) all_4_65 = n7
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with all_4_66, all_4_65, n10, n8, simplifying
% 261.05/66.69 | with (47), (49) gives:
% 261.05/66.69 | (52) all_4_65 = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with all_4_66, all_4_64, n10, n8, simplifying
% 261.05/66.69 | with (47), (48) gives:
% 261.05/66.69 | (53) all_4_64 = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with all_4_69, all_4_64, n10, n8, simplifying
% 261.05/66.69 | with (48), (50) gives:
% 261.05/66.69 | (54) all_4_64 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (53), (54) imply:
% 261.05/66.69 | (55) all_4_66 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (55) implies:
% 261.05/66.69 | (56) all_4_66 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (51), (52) imply:
% 261.05/66.69 | (57) all_4_66 = n7
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (57) implies:
% 261.05/66.69 | (58) all_4_66 = n7
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (56), (58) imply:
% 261.05/66.69 | (59) all_4_69 = n7
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (54), (59) imply:
% 261.05/66.69 | (60) all_4_64 = n7
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (12), (51), (60) imply:
% 261.05/66.69 | (61) sum(n7, n7) = all_4_96
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (27), (58), (59) imply:
% 261.05/66.69 | (62) sum(n7, n7) = all_4_97
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with n3, all_4_96, n7, n7, simplifying with
% 261.05/66.69 | (32), (61) gives:
% 261.05/66.69 | (63) all_4_96 = n3
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (25) with all_4_97, all_4_96, n7, n7, simplifying
% 261.05/66.69 | with (61), (62) gives:
% 261.05/66.69 | (64) all_4_96 = all_4_97
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (63), (64) imply:
% 261.05/66.69 | (65) all_4_97 = n3
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (65) implies:
% 261.05/66.69 | (66) all_4_97 = n3
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (19), (63) imply:
% 261.05/66.69 | (67) pred(n3) = all_4_60
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (15), (66) imply:
% 261.05/66.69 | (68) pred(n3) = all_4_63
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (20), (63) imply:
% 261.05/66.69 | (69) succ(n3) = all_4_62
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (30), (66) imply:
% 261.05/66.69 | (70) succ(n3) = all_4_59
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with n4, all_4_59, n3, simplifying with (18),
% 261.05/66.69 | (70) gives:
% 261.05/66.69 | (71) all_4_59 = n4
% 261.05/66.69 |
% 261.05/66.69 | REF_CLOSE: (3), (5), (6), (7), (10), (14), (21), (23), (25), (26), (31), (33),
% 261.05/66.69 | (34), (67), (68), (69), (70), (71) are inconsistent by sub-proof
% 261.05/66.69 | #99.
% 261.05/66.69 |
% 261.05/66.69 End of proof
% 261.05/66.69
% 261.05/66.69 Sub-proof #99 shows that the following formulas are inconsistent:
% 261.05/66.69 ----------------------------------------------------------------
% 261.05/66.69 (1) succ(n3) = all_4_59
% 261.05/66.69 (2) succ(n3) = all_4_62
% 261.05/66.69 (3) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.69 (4) sum(n2, n4) = n6
% 261.05/66.69 (5) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.69 (6) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.69 (7) pred(n3) = all_4_63
% 261.05/66.69 (8) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.69 ~ (succ(v2) = v0))
% 261.05/66.69 (10) pred(n3) = n2
% 261.05/66.69 (11) all_4_59 = n4
% 261.05/66.69 (12) pred(n3) = all_4_60
% 261.05/66.69 (13) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.69 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.69 (15) sum(n6, n6) = n1
% 261.05/66.69 (16) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.69 (17) ~ (all_4_94 = all_4_95)
% 261.05/66.69 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.69 | ~ (pred(v2) = v0))
% 261.05/66.69
% 261.05/66.69 Begin of proof
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (9) with all_4_62, all_4_59, n3, simplifying with
% 261.05/66.69 | (1), (2) gives:
% 261.05/66.69 | (19) all_4_59 = all_4_62
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (18) with n2, all_4_60, n3, simplifying with (10),
% 261.05/66.69 | (12) gives:
% 261.05/66.69 | (20) all_4_60 = n2
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (18) with all_4_63, all_4_60, n3, simplifying with
% 261.05/66.69 | (7), (12) gives:
% 261.05/66.69 | (21) all_4_60 = all_4_63
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (11), (19) imply:
% 261.05/66.69 | (22) all_4_62 = n4
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.69 | (23) all_4_63 = n2
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (11), (13), (20) imply:
% 261.05/66.69 | (24) sum(n2, n4) = all_4_58
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (3), (20), (22) imply:
% 261.05/66.69 | (25) sum(n2, n4) = all_4_56
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (5), (11), (23) imply:
% 261.05/66.69 | (26) sum(n2, n4) = all_4_57
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (6), (22), (23) imply:
% 261.05/66.69 | (27) sum(n2, n4) = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with n6, all_4_57, n4, n2, simplifying with
% 261.05/66.69 | (4), (26) gives:
% 261.05/66.69 | (28) all_4_57 = n6
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with all_4_58, all_4_57, n4, n2, simplifying
% 261.05/66.69 | with (24), (26) gives:
% 261.05/66.69 | (29) all_4_57 = all_4_58
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with all_4_57, all_4_56, n4, n2, simplifying
% 261.05/66.69 | with (25), (26) gives:
% 261.05/66.69 | (30) all_4_56 = all_4_57
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with all_4_61, all_4_56, n4, n2, simplifying
% 261.05/66.69 | with (25), (27) gives:
% 261.05/66.69 | (31) all_4_56 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.69 | (32) all_4_57 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (32) implies:
% 261.05/66.69 | (33) all_4_57 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.69 | (34) all_4_58 = n6
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (29), (33) imply:
% 261.05/66.69 | (35) all_4_58 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (34), (35) imply:
% 261.05/66.69 | (36) all_4_61 = n6
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.69 | (37) all_4_56 = n6
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (8), (28), (37) imply:
% 261.05/66.69 | (38) sum(n6, n6) = all_4_94
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (16), (34), (36) imply:
% 261.05/66.69 | (39) sum(n6, n6) = all_4_95
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with n1, all_4_94, n6, n6, simplifying with
% 261.05/66.69 | (15), (38) gives:
% 261.05/66.69 | (40) all_4_94 = n1
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (14) with all_4_95, all_4_94, n6, n6, simplifying
% 261.05/66.69 | with (38), (39) gives:
% 261.05/66.69 | (41) all_4_94 = all_4_95
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.69 | (42) all_4_95 = n1
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (17), (40), (42) imply:
% 261.05/66.69 | (43) $false
% 261.05/66.69 |
% 261.05/66.69 | CLOSE: (43) is inconsistent.
% 261.05/66.69 |
% 261.05/66.69 End of proof
% 261.05/66.69
% 261.05/66.69 Sub-proof #100 shows that the following formulas are inconsistent:
% 261.05/66.69 ----------------------------------------------------------------
% 261.05/66.69 (1) all_4_99 = n0
% 261.05/66.69 (2) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.69 (3) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.69 (4) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.69 (5) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.69 (6) sum(n10, n1) = n0
% 261.05/66.69 (7) pred(all_4_99) = all_4_71
% 261.05/66.69 (8) all_4_98 = n0
% 261.05/66.69 (9) succ(n0) = n1
% 261.05/66.69 (10) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.69 (11) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.69 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.69 | ~ (succ(v2) = v0))
% 261.05/66.69 (13) pred(all_4_97) = all_4_63
% 261.05/66.69 (14) succ(all_4_99) = all_4_67
% 261.05/66.69 (15) pred(all_4_96) = all_4_60
% 261.05/66.69 (16) succ(all_4_96) = all_4_62
% 261.05/66.69 (17) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.69 (18) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.69 (19) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.69 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.69 (21) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.69 (22) sum(n0, n0) = all_4_99
% 261.05/66.69 (23) succ(all_4_98) = all_4_70
% 261.05/66.69 (24) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.69 (25) succ(all_4_97) = all_4_59
% 261.05/66.69 (26) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.69 (27) ~ (all_4_94 = all_4_95)
% 261.05/66.69 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.69 | ~ (pred(v2) = v0))
% 261.05/66.69 (29) pred(all_4_98) = all_4_68
% 261.05/66.69 (30) pred(n0) = n10
% 261.05/66.69
% 261.05/66.69 Begin of proof
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (8), (29) imply:
% 261.05/66.69 | (31) pred(n0) = all_4_68
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (1), (7) imply:
% 261.05/66.69 | (32) pred(n0) = all_4_71
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (8), (23) imply:
% 261.05/66.69 | (33) succ(n0) = all_4_70
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (1), (14) imply:
% 261.05/66.69 | (34) succ(n0) = all_4_67
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (1), (22) imply:
% 261.05/66.69 | (35) sum(n0, n0) = n0
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (12) with n1, all_4_67, n0, simplifying with (9),
% 261.05/66.69 | (34) gives:
% 261.05/66.69 | (36) all_4_67 = n1
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (12) with all_4_70, all_4_67, n0, simplifying with
% 261.05/66.69 | (33), (34) gives:
% 261.05/66.69 | (37) all_4_67 = all_4_70
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (28) with n10, all_4_68, n0, simplifying with (30),
% 261.05/66.69 | (31) gives:
% 261.05/66.69 | (38) all_4_68 = n10
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (28) with all_4_71, all_4_68, n0, simplifying with
% 261.05/66.69 | (31), (32) gives:
% 261.05/66.69 | (39) all_4_68 = all_4_71
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (36), (37) imply:
% 261.05/66.69 | (40) all_4_70 = n1
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (38), (39) imply:
% 261.05/66.69 | (41) all_4_71 = n10
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (19), (36), (38) imply:
% 261.05/66.69 | (42) sum(n10, n1) = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (24), (38), (40) imply:
% 261.05/66.69 | (43) sum(n10, n1) = all_4_64
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (17), (36), (41) imply:
% 261.05/66.69 | (44) sum(n10, n1) = all_4_65
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (3), (40), (41) imply:
% 261.05/66.69 | (45) sum(n10, n1) = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with n0, all_4_65, n1, n10, simplifying with
% 261.05/66.69 | (6), (44) gives:
% 261.05/66.69 | (46) all_4_65 = n0
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_66, all_4_65, n1, n10, simplifying
% 261.05/66.69 | with (42), (44) gives:
% 261.05/66.69 | (47) all_4_65 = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_66, all_4_64, n1, n10, simplifying
% 261.05/66.69 | with (42), (43) gives:
% 261.05/66.69 | (48) all_4_64 = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_69, all_4_64, n1, n10, simplifying
% 261.05/66.69 | with (43), (45) gives:
% 261.05/66.69 | (49) all_4_64 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (48), (49) imply:
% 261.05/66.69 | (50) all_4_66 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (50) implies:
% 261.05/66.69 | (51) all_4_66 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (46), (47) imply:
% 261.05/66.69 | (52) all_4_66 = n0
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (52) implies:
% 261.05/66.69 | (53) all_4_66 = n0
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (51), (53) imply:
% 261.05/66.69 | (54) all_4_69 = n0
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (49), (54) imply:
% 261.05/66.69 | (55) all_4_64 = n0
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (11), (46), (55) imply:
% 261.05/66.69 | (56) sum(n0, n0) = all_4_96
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (21), (53), (54) imply:
% 261.05/66.69 | (57) sum(n0, n0) = all_4_97
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with n0, all_4_96, n0, n0, simplifying with
% 261.05/66.69 | (35), (56) gives:
% 261.05/66.69 | (58) all_4_96 = n0
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_97, all_4_96, n0, n0, simplifying
% 261.05/66.69 | with (56), (57) gives:
% 261.05/66.69 | (59) all_4_96 = all_4_97
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (58), (59) imply:
% 261.05/66.69 | (60) all_4_97 = n0
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (60) implies:
% 261.05/66.69 | (61) all_4_97 = n0
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (15), (58) imply:
% 261.05/66.69 | (62) pred(n0) = all_4_60
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (13), (61) imply:
% 261.05/66.69 | (63) pred(n0) = all_4_63
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (16), (58) imply:
% 261.05/66.69 | (64) succ(n0) = all_4_62
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (25), (61) imply:
% 261.05/66.69 | (65) succ(n0) = all_4_59
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (12) with n1, all_4_59, n0, simplifying with (9),
% 261.05/66.69 | (65) gives:
% 261.05/66.69 | (66) all_4_59 = n1
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (12) with all_4_62, all_4_59, n0, simplifying with
% 261.05/66.69 | (64), (65) gives:
% 261.05/66.69 | (67) all_4_59 = all_4_62
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (28) with n10, all_4_60, n0, simplifying with (30),
% 261.05/66.69 | (62) gives:
% 261.05/66.69 | (68) all_4_60 = n10
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (28) with all_4_63, all_4_60, n0, simplifying with
% 261.05/66.69 | (62), (63) gives:
% 261.05/66.69 | (69) all_4_60 = all_4_63
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (66), (67) imply:
% 261.05/66.69 | (70) all_4_62 = n1
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (68), (69) imply:
% 261.05/66.69 | (71) all_4_63 = n10
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (18), (66), (68) imply:
% 261.05/66.69 | (72) sum(n10, n1) = all_4_58
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (2), (68), (70) imply:
% 261.05/66.69 | (73) sum(n10, n1) = all_4_56
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (4), (66), (71) imply:
% 261.05/66.69 | (74) sum(n10, n1) = all_4_57
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (5), (70), (71) imply:
% 261.05/66.69 | (75) sum(n10, n1) = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with n0, all_4_57, n1, n10, simplifying with
% 261.05/66.69 | (6), (74) gives:
% 261.05/66.69 | (76) all_4_57 = n0
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_58, all_4_57, n1, n10, simplifying
% 261.05/66.69 | with (72), (74) gives:
% 261.05/66.69 | (77) all_4_57 = all_4_58
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_57, all_4_56, n1, n10, simplifying
% 261.05/66.69 | with (73), (74) gives:
% 261.05/66.69 | (78) all_4_56 = all_4_57
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_61, all_4_56, n1, n10, simplifying
% 261.05/66.69 | with (73), (75) gives:
% 261.05/66.69 | (79) all_4_56 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (78), (79) imply:
% 261.05/66.69 | (80) all_4_57 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (80) implies:
% 261.05/66.69 | (81) all_4_57 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (76), (77) imply:
% 261.05/66.69 | (82) all_4_58 = n0
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (77), (81) imply:
% 261.05/66.69 | (83) all_4_58 = all_4_61
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (82), (83) imply:
% 261.05/66.69 | (84) all_4_61 = n0
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (79), (84) imply:
% 261.05/66.69 | (85) all_4_56 = n0
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (10), (76), (85) imply:
% 261.05/66.69 | (86) sum(n0, n0) = all_4_94
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (26), (82), (84) imply:
% 261.05/66.69 | (87) sum(n0, n0) = all_4_95
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with n0, all_4_94, n0, n0, simplifying with
% 261.05/66.69 | (35), (86) gives:
% 261.05/66.69 | (88) all_4_94 = n0
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (20) with all_4_95, all_4_94, n0, n0, simplifying
% 261.05/66.69 | with (86), (87) gives:
% 261.05/66.69 | (89) all_4_94 = all_4_95
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (88), (89) imply:
% 261.05/66.69 | (90) all_4_95 = n0
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (27), (88), (90) imply:
% 261.05/66.69 | (91) $false
% 261.05/66.69 |
% 261.05/66.69 | CLOSE: (91) is inconsistent.
% 261.05/66.69 |
% 261.05/66.69 End of proof
% 261.05/66.69
% 261.05/66.69 Sub-proof #101 shows that the following formulas are inconsistent:
% 261.05/66.69 ----------------------------------------------------------------
% 261.05/66.69 (1) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.69 (2) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.69 (3) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.69 (4) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.69 (5) pred(n8) = n7
% 261.05/66.69 (6) pred(all_4_99) = all_4_71
% 261.05/66.69 (7) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.69 (8) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.69 ~ (succ(v2) = v0))
% 261.05/66.69 (10) pred(all_4_97) = all_4_63
% 261.05/66.69 (11) succ(all_4_99) = all_4_67
% 261.05/66.69 (12) pred(all_4_96) = all_4_60
% 261.05/66.69 (13) succ(all_4_96) = all_4_62
% 261.05/66.69 (14) all_4_98 = n2
% 261.05/66.69 (15) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.69 (16) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.69 (17) sum(n5, n5) = n10
% 261.05/66.69 (18) succ(n2) = n3
% 261.05/66.69 (19) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.69 (20) succ(n8) = n9
% 261.05/66.69 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.69 (22) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.69 (23) sum(n7, n9) = n5
% 261.05/66.69 (24) all_4_99 = n2
% 261.05/66.69 (25) pred(n2) = n1
% 261.05/66.69 (26) succ(all_4_98) = all_4_70
% 261.05/66.69 (27) sum(n4, n4) = n8
% 261.05/66.69 (28) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.69 (29) succ(all_4_97) = all_4_59
% 261.05/66.69 (30) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.69 (31) ~ (all_4_94 = all_4_95)
% 261.05/66.69 (32) sum(n1, n3) = n4
% 261.05/66.69 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.69 | ~ (pred(v2) = v0))
% 261.05/66.69 (34) pred(all_4_98) = all_4_68
% 261.05/66.69
% 261.05/66.69 Begin of proof
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (14), (34) imply:
% 261.05/66.69 | (35) pred(n2) = all_4_68
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (6), (24) imply:
% 261.05/66.69 | (36) pred(n2) = all_4_71
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (14), (26) imply:
% 261.05/66.69 | (37) succ(n2) = all_4_70
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (11), (24) imply:
% 261.05/66.69 | (38) succ(n2) = all_4_67
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (9) with n3, all_4_67, n2, simplifying with (18),
% 261.05/66.69 | (38) gives:
% 261.05/66.69 | (39) all_4_67 = n3
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (9) with all_4_70, all_4_67, n2, simplifying with
% 261.05/66.69 | (37), (38) gives:
% 261.05/66.69 | (40) all_4_67 = all_4_70
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (33) with n1, all_4_68, n2, simplifying with (25),
% 261.05/66.69 | (35) gives:
% 261.05/66.69 | (41) all_4_68 = n1
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (33) with all_4_71, all_4_68, n2, simplifying with
% 261.05/66.69 | (35), (36) gives:
% 261.05/66.69 | (42) all_4_68 = all_4_71
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (39), (40) imply:
% 261.05/66.69 | (43) all_4_70 = n3
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (41), (42) imply:
% 261.05/66.69 | (44) all_4_71 = n1
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (19), (39), (41) imply:
% 261.05/66.69 | (45) sum(n1, n3) = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (28), (41), (43) imply:
% 261.05/66.69 | (46) sum(n1, n3) = all_4_64
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (15), (39), (44) imply:
% 261.05/66.69 | (47) sum(n1, n3) = all_4_65
% 261.05/66.69 |
% 261.05/66.69 | REDUCE: (2), (43), (44) imply:
% 261.05/66.69 | (48) sum(n1, n3) = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (21) with n4, all_4_65, n3, n1, simplifying with
% 261.05/66.69 | (32), (47) gives:
% 261.05/66.69 | (49) all_4_65 = n4
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (21) with all_4_66, all_4_65, n3, n1, simplifying
% 261.05/66.69 | with (45), (47) gives:
% 261.05/66.69 | (50) all_4_65 = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (21) with all_4_66, all_4_64, n3, n1, simplifying
% 261.05/66.69 | with (45), (46) gives:
% 261.05/66.69 | (51) all_4_64 = all_4_66
% 261.05/66.69 |
% 261.05/66.69 | GROUND_INST: instantiating (21) with all_4_69, all_4_64, n3, n1, simplifying
% 261.05/66.69 | with (46), (48) gives:
% 261.05/66.69 | (52) all_4_64 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (51), (52) imply:
% 261.05/66.69 | (53) all_4_66 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (53) implies:
% 261.05/66.69 | (54) all_4_66 = all_4_69
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (49), (50) imply:
% 261.05/66.69 | (55) all_4_66 = n4
% 261.05/66.69 |
% 261.05/66.69 | SIMP: (55) implies:
% 261.05/66.69 | (56) all_4_66 = n4
% 261.05/66.69 |
% 261.05/66.69 | COMBINE_EQS: (54), (56) imply:
% 261.05/66.70 | (57) all_4_69 = n4
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (52), (57) imply:
% 261.05/66.70 | (58) all_4_64 = n4
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (8), (49), (58) imply:
% 261.05/66.70 | (59) sum(n4, n4) = all_4_96
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (22), (56), (57) imply:
% 261.05/66.70 | (60) sum(n4, n4) = all_4_97
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (21) with n8, all_4_96, n4, n4, simplifying with
% 261.05/66.70 | (27), (59) gives:
% 261.05/66.70 | (61) all_4_96 = n8
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (21) with all_4_97, all_4_96, n4, n4, simplifying
% 261.05/66.70 | with (59), (60) gives:
% 261.05/66.70 | (62) all_4_96 = all_4_97
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (61), (62) imply:
% 261.05/66.70 | (63) all_4_97 = n8
% 261.05/66.70 |
% 261.05/66.70 | SIMP: (63) implies:
% 261.05/66.70 | (64) all_4_97 = n8
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (12), (61) imply:
% 261.05/66.70 | (65) pred(n8) = all_4_60
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (10), (64) imply:
% 261.05/66.70 | (66) pred(n8) = all_4_63
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (13), (61) imply:
% 261.05/66.70 | (67) succ(n8) = all_4_62
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (29), (64) imply:
% 261.05/66.70 | (68) succ(n8) = all_4_59
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (9) with n9, all_4_59, n8, simplifying with (20),
% 261.05/66.70 | (68) gives:
% 261.05/66.70 | (69) all_4_59 = n9
% 261.05/66.70 |
% 261.05/66.70 | REF_CLOSE: (1), (3), (4), (5), (7), (9), (16), (17), (21), (23), (30), (31),
% 261.05/66.70 | (33), (65), (66), (67), (68), (69) are inconsistent by sub-proof
% 261.05/66.70 | #102.
% 261.05/66.70 |
% 261.05/66.70 End of proof
% 261.05/66.70
% 261.05/66.70 Sub-proof #102 shows that the following formulas are inconsistent:
% 261.05/66.70 ----------------------------------------------------------------
% 261.05/66.70 (1) pred(n8) = all_4_60
% 261.05/66.70 (2) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.70 (3) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.70 (4) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.70 (5) pred(n8) = n7
% 261.05/66.70 (6) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.70 (7) succ(n8) = all_4_62
% 261.05/66.70 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.70 ~ (succ(v2) = v0))
% 261.05/66.70 (9) pred(n8) = all_4_63
% 261.05/66.70 (10) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.70 (11) sum(n5, n5) = n10
% 261.05/66.70 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.70 (13) sum(n7, n9) = n5
% 261.05/66.70 (14) succ(n8) = all_4_59
% 261.05/66.70 (15) all_4_59 = n9
% 261.05/66.70 (16) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.70 (17) ~ (all_4_94 = all_4_95)
% 261.05/66.70 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.70 | ~ (pred(v2) = v0))
% 261.05/66.70
% 261.05/66.70 Begin of proof
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (8) with all_4_62, all_4_59, n8, simplifying with
% 261.05/66.70 | (7), (14) gives:
% 261.05/66.70 | (19) all_4_59 = all_4_62
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (18) with n7, all_4_60, n8, simplifying with (1),
% 261.05/66.70 | (5) gives:
% 261.05/66.70 | (20) all_4_60 = n7
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (18) with all_4_63, all_4_60, n8, simplifying with
% 261.05/66.70 | (1), (9) gives:
% 261.05/66.70 | (21) all_4_60 = all_4_63
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (15), (19) imply:
% 261.05/66.70 | (22) all_4_62 = n9
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.70 | (23) all_4_63 = n7
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (10), (15), (20) imply:
% 261.05/66.70 | (24) sum(n7, n9) = all_4_58
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (2), (20), (22) imply:
% 261.05/66.70 | (25) sum(n7, n9) = all_4_56
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (3), (15), (23) imply:
% 261.05/66.70 | (26) sum(n7, n9) = all_4_57
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (4), (22), (23) imply:
% 261.05/66.70 | (27) sum(n7, n9) = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (12) with n5, all_4_57, n9, n7, simplifying with
% 261.05/66.70 | (13), (26) gives:
% 261.05/66.70 | (28) all_4_57 = n5
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (12) with all_4_58, all_4_57, n9, n7, simplifying
% 261.05/66.70 | with (24), (26) gives:
% 261.05/66.70 | (29) all_4_57 = all_4_58
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (12) with all_4_57, all_4_56, n9, n7, simplifying
% 261.05/66.70 | with (25), (26) gives:
% 261.05/66.70 | (30) all_4_56 = all_4_57
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (12) with all_4_61, all_4_56, n9, n7, simplifying
% 261.05/66.70 | with (25), (27) gives:
% 261.05/66.70 | (31) all_4_56 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.70 | (32) all_4_57 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | SIMP: (32) implies:
% 261.05/66.70 | (33) all_4_57 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.70 | (34) all_4_58 = n5
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (29), (33) imply:
% 261.05/66.70 | (35) all_4_58 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (34), (35) imply:
% 261.05/66.70 | (36) all_4_61 = n5
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.70 | (37) all_4_56 = n5
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (6), (28), (37) imply:
% 261.05/66.70 | (38) sum(n5, n5) = all_4_94
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (16), (34), (36) imply:
% 261.05/66.70 | (39) sum(n5, n5) = all_4_95
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (12) with n10, all_4_94, n5, n5, simplifying with
% 261.05/66.70 | (11), (38) gives:
% 261.05/66.70 | (40) all_4_94 = n10
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (12) with all_4_95, all_4_94, n5, n5, simplifying
% 261.05/66.70 | with (38), (39) gives:
% 261.05/66.70 | (41) all_4_94 = all_4_95
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.70 | (42) all_4_95 = n10
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (17), (40), (42) imply:
% 261.05/66.70 | (43) $false
% 261.05/66.70 |
% 261.05/66.70 | CLOSE: (43) is inconsistent.
% 261.05/66.70 |
% 261.05/66.70 End of proof
% 261.05/66.70
% 261.05/66.70 Sub-proof #103 shows that the following formulas are inconsistent:
% 261.05/66.70 ----------------------------------------------------------------
% 261.05/66.70 (1) sum(n4, n6) = n10
% 261.05/66.70 (2) succ(n5) = all_4_59
% 261.05/66.70 (3) pred(n5) = all_4_63
% 261.05/66.70 (4) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.70 (5) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.70 (6) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.70 (7) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.70 (8) sum(n10, n10) = n9
% 261.05/66.70 (9) pred(n5) = n4
% 261.05/66.70 (10) pred(n5) = all_4_60
% 261.05/66.70 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.70 | ~ (succ(v2) = v0))
% 261.05/66.70 (12) all_4_59 = n6
% 261.05/66.70 (13) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.70 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.70 (15) succ(n5) = all_4_62
% 261.05/66.70 (16) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.70 (17) ~ (all_4_94 = all_4_95)
% 261.05/66.70 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.70 | ~ (pred(v2) = v0))
% 261.05/66.70
% 261.05/66.70 Begin of proof
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (11) with all_4_62, all_4_59, n5, simplifying with
% 261.05/66.70 | (2), (15) gives:
% 261.05/66.70 | (19) all_4_59 = all_4_62
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (18) with n4, all_4_60, n5, simplifying with (9),
% 261.05/66.70 | (10) gives:
% 261.05/66.70 | (20) all_4_60 = n4
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (18) with all_4_63, all_4_60, n5, simplifying with
% 261.05/66.70 | (3), (10) gives:
% 261.05/66.70 | (21) all_4_60 = all_4_63
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (12), (19) imply:
% 261.05/66.70 | (22) all_4_62 = n6
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.70 | (23) all_4_63 = n4
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (12), (13), (20) imply:
% 261.05/66.70 | (24) sum(n4, n6) = all_4_58
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (4), (20), (22) imply:
% 261.05/66.70 | (25) sum(n4, n6) = all_4_56
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (5), (12), (23) imply:
% 261.05/66.70 | (26) sum(n4, n6) = all_4_57
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (6), (22), (23) imply:
% 261.05/66.70 | (27) sum(n4, n6) = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (14) with n10, all_4_57, n6, n4, simplifying with
% 261.05/66.70 | (1), (26) gives:
% 261.05/66.70 | (28) all_4_57 = n10
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (14) with all_4_58, all_4_57, n6, n4, simplifying
% 261.05/66.70 | with (24), (26) gives:
% 261.05/66.70 | (29) all_4_57 = all_4_58
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (14) with all_4_57, all_4_56, n6, n4, simplifying
% 261.05/66.70 | with (25), (26) gives:
% 261.05/66.70 | (30) all_4_56 = all_4_57
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (14) with all_4_61, all_4_56, n6, n4, simplifying
% 261.05/66.70 | with (25), (27) gives:
% 261.05/66.70 | (31) all_4_56 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.70 | (32) all_4_57 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | SIMP: (32) implies:
% 261.05/66.70 | (33) all_4_57 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.70 | (34) all_4_58 = n10
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (29), (33) imply:
% 261.05/66.70 | (35) all_4_58 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (34), (35) imply:
% 261.05/66.70 | (36) all_4_61 = n10
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.70 | (37) all_4_56 = n10
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (7), (28), (37) imply:
% 261.05/66.70 | (38) sum(n10, n10) = all_4_94
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (16), (34), (36) imply:
% 261.05/66.70 | (39) sum(n10, n10) = all_4_95
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (14) with n9, all_4_94, n10, n10, simplifying with
% 261.05/66.70 | (8), (38) gives:
% 261.05/66.70 | (40) all_4_94 = n9
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (14) with all_4_95, all_4_94, n10, n10, simplifying
% 261.05/66.70 | with (38), (39) gives:
% 261.05/66.70 | (41) all_4_94 = all_4_95
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.70 | (42) all_4_95 = n9
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (17), (40), (42) imply:
% 261.05/66.70 | (43) $false
% 261.05/66.70 |
% 261.05/66.70 | CLOSE: (43) is inconsistent.
% 261.05/66.70 |
% 261.05/66.70 End of proof
% 261.05/66.70
% 261.05/66.70 Sub-proof #104 shows that the following formulas are inconsistent:
% 261.05/66.70 ----------------------------------------------------------------
% 261.05/66.70 (1) all_4_98 = n6
% 261.05/66.70 (2) all_4_96 = n2
% 261.05/66.70 (3) all_4_97 = n2
% 261.05/66.70 (4) all_4_99 = n6
% 261.05/66.70 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.05/66.70
% 261.05/66.70 Begin of proof
% 261.05/66.70 |
% 261.05/66.70 | BETA: splitting (5) gives:
% 261.05/66.70 |
% 261.05/66.70 | Case 1:
% 261.05/66.70 | |
% 261.05/66.70 | | (6) ~ (all_4_96 = all_4_97)
% 261.05/66.70 | |
% 261.05/66.70 | | REDUCE: (2), (3), (6) imply:
% 261.05/66.70 | | (7) $false
% 261.05/66.70 | |
% 261.05/66.70 | | CLOSE: (7) is inconsistent.
% 261.05/66.70 | |
% 261.05/66.70 | Case 2:
% 261.05/66.70 | |
% 261.05/66.70 | | (8) ~ (all_4_98 = all_4_99)
% 261.05/66.70 | |
% 261.05/66.70 | | REDUCE: (1), (4), (8) imply:
% 261.05/66.70 | | (9) $false
% 261.05/66.70 | |
% 261.05/66.70 | | CLOSE: (9) is inconsistent.
% 261.05/66.70 | |
% 261.05/66.70 | End of split
% 261.05/66.70 |
% 261.05/66.70 End of proof
% 261.05/66.70
% 261.05/66.70 Sub-proof #105 shows that the following formulas are inconsistent:
% 261.05/66.70 ----------------------------------------------------------------
% 261.05/66.70 (1) succ(n2) = all_4_62
% 261.05/66.70 (2) pred(n2) = all_4_60
% 261.05/66.70 (3) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.70 (4) pred(n2) = all_4_63
% 261.05/66.70 (5) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.70 (6) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.70 (7) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.70 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.05/66.70 ~ (succ(v2) = v0))
% 261.05/66.70 (9) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.70 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.70 (11) succ(n2) = all_4_59
% 261.05/66.70 (12) pred(n2) = n1
% 261.05/66.70 (13) all_4_59 = n3
% 261.05/66.70 (14) sum(n4, n4) = n8
% 261.05/66.70 (15) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.70 (16) ~ (all_4_94 = all_4_95)
% 261.05/66.70 (17) sum(n1, n3) = n4
% 261.05/66.70 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.70 | ~ (pred(v2) = v0))
% 261.05/66.70
% 261.05/66.70 Begin of proof
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (8) with all_4_62, all_4_59, n2, simplifying with
% 261.05/66.70 | (1), (11) gives:
% 261.05/66.70 | (19) all_4_59 = all_4_62
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (18) with n1, all_4_60, n2, simplifying with (2),
% 261.05/66.70 | (12) gives:
% 261.05/66.70 | (20) all_4_60 = n1
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (18) with all_4_63, all_4_60, n2, simplifying with
% 261.05/66.70 | (2), (4) gives:
% 261.05/66.70 | (21) all_4_60 = all_4_63
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (13), (19) imply:
% 261.05/66.70 | (22) all_4_62 = n3
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (20), (21) imply:
% 261.05/66.70 | (23) all_4_63 = n1
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (9), (13), (20) imply:
% 261.05/66.70 | (24) sum(n1, n3) = all_4_58
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (3), (20), (22) imply:
% 261.05/66.70 | (25) sum(n1, n3) = all_4_56
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (5), (13), (23) imply:
% 261.05/66.70 | (26) sum(n1, n3) = all_4_57
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (6), (22), (23) imply:
% 261.05/66.70 | (27) sum(n1, n3) = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (10) with n4, all_4_57, n3, n1, simplifying with
% 261.05/66.70 | (17), (26) gives:
% 261.05/66.70 | (28) all_4_57 = n4
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (10) with all_4_58, all_4_57, n3, n1, simplifying
% 261.05/66.70 | with (24), (26) gives:
% 261.05/66.70 | (29) all_4_57 = all_4_58
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (10) with all_4_57, all_4_56, n3, n1, simplifying
% 261.05/66.70 | with (25), (26) gives:
% 261.05/66.70 | (30) all_4_56 = all_4_57
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (10) with all_4_61, all_4_56, n3, n1, simplifying
% 261.05/66.70 | with (25), (27) gives:
% 261.05/66.70 | (31) all_4_56 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (30), (31) imply:
% 261.05/66.70 | (32) all_4_57 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | SIMP: (32) implies:
% 261.05/66.70 | (33) all_4_57 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (28), (29) imply:
% 261.05/66.70 | (34) all_4_58 = n4
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (29), (33) imply:
% 261.05/66.70 | (35) all_4_58 = all_4_61
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (34), (35) imply:
% 261.05/66.70 | (36) all_4_61 = n4
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (31), (36) imply:
% 261.05/66.70 | (37) all_4_56 = n4
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (7), (28), (37) imply:
% 261.05/66.70 | (38) sum(n4, n4) = all_4_94
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (15), (34), (36) imply:
% 261.05/66.70 | (39) sum(n4, n4) = all_4_95
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (10) with n8, all_4_94, n4, n4, simplifying with
% 261.05/66.70 | (14), (38) gives:
% 261.05/66.70 | (40) all_4_94 = n8
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (10) with all_4_95, all_4_94, n4, n4, simplifying
% 261.05/66.70 | with (38), (39) gives:
% 261.05/66.70 | (41) all_4_94 = all_4_95
% 261.05/66.70 |
% 261.05/66.70 | COMBINE_EQS: (40), (41) imply:
% 261.05/66.70 | (42) all_4_95 = n8
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (16), (40), (42) imply:
% 261.05/66.70 | (43) $false
% 261.05/66.70 |
% 261.05/66.70 | CLOSE: (43) is inconsistent.
% 261.05/66.70 |
% 261.05/66.70 End of proof
% 261.05/66.70
% 261.05/66.70 Sub-proof #106 shows that the following formulas are inconsistent:
% 261.05/66.70 ----------------------------------------------------------------
% 261.05/66.70 (1) succ(all_4_95) = all_4_51
% 261.05/66.70 (2) succ(n1) = n2
% 261.05/66.70 (3) sum(n2, n2) = n4
% 261.05/66.70 (4) pred(all_4_95) = all_4_55
% 261.05/66.70 (5) all_4_98 = n9
% 261.05/66.70 (6) succ(n9) = n10
% 261.05/66.70 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.05/66.70 (8) sum(all_4_60, all_4_62) = all_4_56
% 261.05/66.70 (9) sum(all_4_71, all_4_70) = all_4_69
% 261.05/66.70 (10) sum(all_4_55, all_4_54) = all_4_53
% 261.05/66.70 (11) sum(n2, n4) = n6
% 261.05/66.70 (12) sum(all_4_63, all_4_59) = all_4_57
% 261.05/66.70 (13) sum(all_4_63, all_4_62) = all_4_61
% 261.05/66.70 (14) succ(all_4_94) = all_4_54
% 261.05/66.70 (15) pred(all_4_99) = all_4_71
% 261.05/66.70 (16) sum(n8, n10) = n7
% 261.05/66.70 (17) sum(all_4_57, all_4_56) = all_4_94
% 261.05/66.70 (18) sum(n0, n2) = n2
% 261.05/66.70 (19) sum(n10, n10) = n9
% 261.05/66.70 (20) ~ (all_4_92 = all_4_93)
% 261.05/66.70 (21) sum(all_4_65, all_4_64) = all_4_96
% 261.05/66.70 (22) sum(n10, n10) = all_4_99
% 261.05/66.70 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.05/66.70 | ~ (succ(v2) = v0))
% 261.05/66.70 (24) pred(all_4_97) = all_4_63
% 261.05/66.70 (25) succ(all_4_99) = all_4_67
% 261.05/66.70 (26) pred(n9) = n8
% 261.05/66.70 (27) succ(n3) = n4
% 261.05/66.70 (28) pred(all_4_96) = all_4_60
% 261.05/66.70 (29) succ(all_4_96) = all_4_62
% 261.05/66.70 (30) pred(n3) = n2
% 261.05/66.70 (31) sum(all_4_55, all_4_51) = all_4_49
% 261.05/66.70 (32) sum(all_4_71, all_4_67) = all_4_65
% 261.05/66.70 (33) sum(all_4_60, all_4_59) = all_4_58
% 261.05/66.70 (34) sum(all_4_68, all_4_67) = all_4_66
% 261.05/66.70 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.05/66.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.05/66.70 (36) sum(n6, n6) = n1
% 261.05/66.70 (37) sum(all_4_69, all_4_66) = all_4_97
% 261.05/66.70 (38) succ(all_4_98) = all_4_70
% 261.05/66.70 (39) pred(n1) = n0
% 261.05/66.70 (40) sum(all_4_68, all_4_70) = all_4_64
% 261.05/66.70 (41) succ(all_4_97) = all_4_59
% 261.05/66.70 (42) sum(all_4_61, all_4_58) = all_4_95
% 261.05/66.70 (43) sum(n7, n7) = n3
% 261.05/66.70 (44) sum(all_4_49, all_4_48) = all_4_92
% 261.05/66.70 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.05/66.70 | ~ (pred(v2) = v0))
% 261.05/66.70 (46) sum(all_4_52, all_4_51) = all_4_50
% 261.05/66.70 (47) sum(all_4_53, all_4_50) = all_4_93
% 261.05/66.70 (48) pred(all_4_98) = all_4_68
% 261.05/66.70 (49) pred(all_4_94) = all_4_52
% 261.05/66.70
% 261.05/66.70 Begin of proof
% 261.05/66.70 |
% 261.05/66.70 | GROUND_INST: instantiating (35) with n9, all_4_99, n10, n10, simplifying with
% 261.05/66.70 | (19), (22) gives:
% 261.05/66.70 | (50) all_4_99 = n9
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (5), (48) imply:
% 261.05/66.70 | (51) pred(n9) = all_4_68
% 261.05/66.70 |
% 261.05/66.70 | REDUCE: (15), (50) imply:
% 261.09/66.70 | (52) pred(n9) = all_4_71
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (5), (38) imply:
% 261.09/66.70 | (53) succ(n9) = all_4_70
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (25), (50) imply:
% 261.09/66.70 | (54) succ(n9) = all_4_67
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (23) with n10, all_4_67, n9, simplifying with (6),
% 261.09/66.70 | (54) gives:
% 261.09/66.70 | (55) all_4_67 = n10
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n9, simplifying with
% 261.09/66.70 | (53), (54) gives:
% 261.09/66.70 | (56) all_4_67 = all_4_70
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (45) with n8, all_4_68, n9, simplifying with (26),
% 261.09/66.70 | (51) gives:
% 261.09/66.70 | (57) all_4_68 = n8
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (45) with all_4_71, all_4_68, n9, simplifying with
% 261.09/66.70 | (51), (52) gives:
% 261.09/66.70 | (58) all_4_68 = all_4_71
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (55), (56) imply:
% 261.09/66.70 | (59) all_4_70 = n10
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (57), (58) imply:
% 261.09/66.70 | (60) all_4_71 = n8
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (34), (55), (57) imply:
% 261.09/66.70 | (61) sum(n8, n10) = all_4_66
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (40), (57), (59) imply:
% 261.09/66.70 | (62) sum(n8, n10) = all_4_64
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (32), (55), (60) imply:
% 261.09/66.70 | (63) sum(n8, n10) = all_4_65
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (9), (59), (60) imply:
% 261.09/66.70 | (64) sum(n8, n10) = all_4_69
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with n7, all_4_65, n10, n8, simplifying with
% 261.09/66.70 | (16), (63) gives:
% 261.09/66.70 | (65) all_4_65 = n7
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_66, all_4_65, n10, n8, simplifying
% 261.09/66.70 | with (61), (63) gives:
% 261.09/66.70 | (66) all_4_65 = all_4_66
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_66, all_4_64, n10, n8, simplifying
% 261.09/66.70 | with (61), (62) gives:
% 261.09/66.70 | (67) all_4_64 = all_4_66
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_69, all_4_64, n10, n8, simplifying
% 261.09/66.70 | with (62), (64) gives:
% 261.09/66.70 | (68) all_4_64 = all_4_69
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (67), (68) imply:
% 261.09/66.70 | (69) all_4_66 = all_4_69
% 261.09/66.70 |
% 261.09/66.70 | SIMP: (69) implies:
% 261.09/66.70 | (70) all_4_66 = all_4_69
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (65), (66) imply:
% 261.09/66.70 | (71) all_4_66 = n7
% 261.09/66.70 |
% 261.09/66.70 | SIMP: (71) implies:
% 261.09/66.70 | (72) all_4_66 = n7
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (70), (72) imply:
% 261.09/66.70 | (73) all_4_69 = n7
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (68), (73) imply:
% 261.09/66.70 | (74) all_4_64 = n7
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (21), (65), (74) imply:
% 261.09/66.70 | (75) sum(n7, n7) = all_4_96
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (37), (72), (73) imply:
% 261.09/66.70 | (76) sum(n7, n7) = all_4_97
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with n3, all_4_96, n7, n7, simplifying with
% 261.09/66.70 | (43), (75) gives:
% 261.09/66.70 | (77) all_4_96 = n3
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_97, all_4_96, n7, n7, simplifying
% 261.09/66.70 | with (75), (76) gives:
% 261.09/66.70 | (78) all_4_96 = all_4_97
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (77), (78) imply:
% 261.09/66.70 | (79) all_4_97 = n3
% 261.09/66.70 |
% 261.09/66.70 | SIMP: (79) implies:
% 261.09/66.70 | (80) all_4_97 = n3
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (28), (77) imply:
% 261.09/66.70 | (81) pred(n3) = all_4_60
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (24), (80) imply:
% 261.09/66.70 | (82) pred(n3) = all_4_63
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (29), (77) imply:
% 261.09/66.70 | (83) succ(n3) = all_4_62
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (41), (80) imply:
% 261.09/66.70 | (84) succ(n3) = all_4_59
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (23) with n4, all_4_59, n3, simplifying with (27),
% 261.09/66.70 | (84) gives:
% 261.09/66.70 | (85) all_4_59 = n4
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n3, simplifying with
% 261.09/66.70 | (83), (84) gives:
% 261.09/66.70 | (86) all_4_59 = all_4_62
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (45) with n2, all_4_60, n3, simplifying with (30),
% 261.09/66.70 | (81) gives:
% 261.09/66.70 | (87) all_4_60 = n2
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (45) with all_4_63, all_4_60, n3, simplifying with
% 261.09/66.70 | (81), (82) gives:
% 261.09/66.70 | (88) all_4_60 = all_4_63
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (85), (86) imply:
% 261.09/66.70 | (89) all_4_62 = n4
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (87), (88) imply:
% 261.09/66.70 | (90) all_4_63 = n2
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (33), (85), (87) imply:
% 261.09/66.70 | (91) sum(n2, n4) = all_4_58
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (8), (87), (89) imply:
% 261.09/66.70 | (92) sum(n2, n4) = all_4_56
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (12), (85), (90) imply:
% 261.09/66.70 | (93) sum(n2, n4) = all_4_57
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (13), (89), (90) imply:
% 261.09/66.70 | (94) sum(n2, n4) = all_4_61
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with n6, all_4_57, n4, n2, simplifying with
% 261.09/66.70 | (11), (93) gives:
% 261.09/66.70 | (95) all_4_57 = n6
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_58, all_4_57, n4, n2, simplifying
% 261.09/66.70 | with (91), (93) gives:
% 261.09/66.70 | (96) all_4_57 = all_4_58
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_57, all_4_56, n4, n2, simplifying
% 261.09/66.70 | with (92), (93) gives:
% 261.09/66.70 | (97) all_4_56 = all_4_57
% 261.09/66.70 |
% 261.09/66.70 | GROUND_INST: instantiating (35) with all_4_61, all_4_56, n4, n2, simplifying
% 261.09/66.70 | with (92), (94) gives:
% 261.09/66.70 | (98) all_4_56 = all_4_61
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (97), (98) imply:
% 261.09/66.70 | (99) all_4_57 = all_4_61
% 261.09/66.70 |
% 261.09/66.70 | SIMP: (99) implies:
% 261.09/66.70 | (100) all_4_57 = all_4_61
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (95), (96) imply:
% 261.09/66.70 | (101) all_4_58 = n6
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (96), (100) imply:
% 261.09/66.70 | (102) all_4_58 = all_4_61
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (101), (102) imply:
% 261.09/66.70 | (103) all_4_61 = n6
% 261.09/66.70 |
% 261.09/66.70 | COMBINE_EQS: (98), (103) imply:
% 261.09/66.70 | (104) all_4_56 = n6
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (17), (95), (104) imply:
% 261.09/66.70 | (105) sum(n6, n6) = all_4_94
% 261.09/66.70 |
% 261.09/66.70 | REDUCE: (42), (101), (103) imply:
% 261.09/66.70 | (106) sum(n6, n6) = all_4_95
% 261.09/66.70 |
% 261.09/66.71 | GROUND_INST: instantiating (35) with n1, all_4_94, n6, n6, simplifying with
% 261.09/66.71 | (36), (105) gives:
% 261.09/66.71 | (107) all_4_94 = n1
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (35) with all_4_95, all_4_94, n6, n6, simplifying
% 261.09/66.71 | with (105), (106) gives:
% 261.09/66.71 | (108) all_4_94 = all_4_95
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (107), (108) imply:
% 261.09/66.71 | (109) all_4_95 = n1
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (49), (107) imply:
% 261.09/66.71 | (110) pred(n1) = all_4_52
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (4), (109) imply:
% 261.09/66.71 | (111) pred(n1) = all_4_55
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (14), (107) imply:
% 261.09/66.71 | (112) succ(n1) = all_4_54
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (1), (109) imply:
% 261.09/66.71 | (113) succ(n1) = all_4_51
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (23) with n2, all_4_51, n1, simplifying with (2),
% 261.09/66.71 | (113) gives:
% 261.09/66.71 | (114) all_4_51 = n2
% 261.09/66.71 |
% 261.09/66.71 | REF_CLOSE: (3), (7), (10), (18), (20), (23), (31), (35), (39), (44), (45),
% 261.09/66.71 | (46), (47), (110), (111), (112), (113), (114) are inconsistent by
% 261.09/66.71 | sub-proof #107.
% 261.09/66.71 |
% 261.09/66.71 End of proof
% 261.09/66.71
% 261.09/66.71 Sub-proof #107 shows that the following formulas are inconsistent:
% 261.09/66.71 ----------------------------------------------------------------
% 261.09/66.71 (1) sum(n2, n2) = n4
% 261.09/66.71 (2) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.71 (3) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.71 (4) sum(n0, n2) = n2
% 261.09/66.71 (5) ~ (all_4_92 = all_4_93)
% 261.09/66.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.09/66.71 ~ (succ(v2) = v0))
% 261.09/66.71 (7) pred(n1) = all_4_52
% 261.09/66.71 (8) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.71 (10) succ(n1) = all_4_54
% 261.09/66.71 (11) all_4_51 = n2
% 261.09/66.71 (12) pred(n1) = n0
% 261.09/66.71 (13) succ(n1) = all_4_51
% 261.09/66.71 (14) pred(n1) = all_4_55
% 261.09/66.71 (15) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.71 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.71 | ~ (pred(v2) = v0))
% 261.09/66.71 (17) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.71 (18) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.71
% 261.09/66.71 Begin of proof
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (6) with all_4_54, all_4_51, n1, simplifying with
% 261.09/66.71 | (10), (13) gives:
% 261.09/66.71 | (19) all_4_51 = all_4_54
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (16) with n0, all_4_52, n1, simplifying with (7),
% 261.09/66.71 | (12) gives:
% 261.09/66.71 | (20) all_4_52 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (16) with all_4_55, all_4_52, n1, simplifying with
% 261.09/66.71 | (7), (14) gives:
% 261.09/66.71 | (21) all_4_52 = all_4_55
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (11), (19) imply:
% 261.09/66.71 | (22) all_4_54 = n2
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (20), (21) imply:
% 261.09/66.71 | (23) all_4_55 = n0
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (23) implies:
% 261.09/66.71 | (24) all_4_55 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (11), (17), (20) imply:
% 261.09/66.71 | (25) sum(n0, n2) = all_4_50
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (2), (20), (22) imply:
% 261.09/66.71 | (26) sum(n0, n2) = all_4_48
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (8), (11), (24) imply:
% 261.09/66.71 | (27) sum(n0, n2) = all_4_49
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (3), (22), (24) imply:
% 261.09/66.71 | (28) sum(n0, n2) = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (9) with n2, all_4_49, n2, n0, simplifying with
% 261.09/66.71 | (4), (27) gives:
% 261.09/66.71 | (29) all_4_49 = n2
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (9) with all_4_50, all_4_49, n2, n0, simplifying
% 261.09/66.71 | with (25), (27) gives:
% 261.09/66.71 | (30) all_4_49 = all_4_50
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (9) with all_4_49, all_4_48, n2, n0, simplifying
% 261.09/66.71 | with (26), (27) gives:
% 261.09/66.71 | (31) all_4_48 = all_4_49
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (9) with all_4_53, all_4_48, n2, n0, simplifying
% 261.09/66.71 | with (26), (28) gives:
% 261.09/66.71 | (32) all_4_48 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (31), (32) imply:
% 261.09/66.71 | (33) all_4_49 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (33) implies:
% 261.09/66.71 | (34) all_4_49 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (29), (30) imply:
% 261.09/66.71 | (35) all_4_50 = n2
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (30), (34) imply:
% 261.09/66.71 | (36) all_4_50 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (35), (36) imply:
% 261.09/66.71 | (37) all_4_53 = n2
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (32), (37) imply:
% 261.09/66.71 | (38) all_4_48 = n2
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (15), (29), (38) imply:
% 261.09/66.71 | (39) sum(n2, n2) = all_4_92
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (18), (35), (37) imply:
% 261.09/66.71 | (40) sum(n2, n2) = all_4_93
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (9) with n4, all_4_92, n2, n2, simplifying with
% 261.09/66.71 | (1), (39) gives:
% 261.09/66.71 | (41) all_4_92 = n4
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (9) with all_4_93, all_4_92, n2, n2, simplifying
% 261.09/66.71 | with (39), (40) gives:
% 261.09/66.71 | (42) all_4_92 = all_4_93
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (41), (42) imply:
% 261.09/66.71 | (43) all_4_93 = n4
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (43) implies:
% 261.09/66.71 | (44) all_4_93 = n4
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (5), (41), (44) imply:
% 261.09/66.71 | (45) $false
% 261.09/66.71 |
% 261.09/66.71 | CLOSE: (45) is inconsistent.
% 261.09/66.71 |
% 261.09/66.71 End of proof
% 261.09/66.71
% 261.09/66.71 Sub-proof #108 shows that the following formulas are inconsistent:
% 261.09/66.71 ----------------------------------------------------------------
% 261.09/66.71 (1) succ(all_4_95) = all_4_51
% 261.09/66.71 (2) all_4_99 = n0
% 261.09/66.71 (3) pred(all_4_95) = all_4_55
% 261.09/66.71 (4) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.71 (5) sum(all_4_60, all_4_62) = all_4_56
% 261.09/66.71 (6) sum(all_4_71, all_4_70) = all_4_69
% 261.09/66.71 (7) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.71 (8) sum(all_4_63, all_4_59) = all_4_57
% 261.09/66.71 (9) sum(all_4_63, all_4_62) = all_4_61
% 261.09/66.71 (10) succ(all_4_94) = all_4_54
% 261.09/66.71 (11) sum(n10, n1) = n0
% 261.09/66.71 (12) pred(all_4_99) = all_4_71
% 261.09/66.71 (13) all_4_98 = n0
% 261.09/66.71 (14) succ(n0) = n1
% 261.09/66.71 (15) sum(all_4_57, all_4_56) = all_4_94
% 261.09/66.71 (16) ~ (all_4_92 = all_4_93)
% 261.09/66.71 (17) sum(all_4_65, all_4_64) = all_4_96
% 261.09/66.71 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.09/66.71 | ~ (succ(v2) = v0))
% 261.09/66.71 (19) pred(all_4_97) = all_4_63
% 261.09/66.71 (20) succ(all_4_99) = all_4_67
% 261.09/66.71 (21) pred(all_4_96) = all_4_60
% 261.09/66.71 (22) succ(all_4_96) = all_4_62
% 261.09/66.71 (23) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.71 (24) sum(all_4_71, all_4_67) = all_4_65
% 261.09/66.71 (25) sum(all_4_60, all_4_59) = all_4_58
% 261.09/66.71 (26) sum(all_4_68, all_4_67) = all_4_66
% 261.09/66.71 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.71 (28) sum(all_4_69, all_4_66) = all_4_97
% 261.09/66.71 (29) sum(n0, n0) = all_4_99
% 261.09/66.71 (30) succ(all_4_98) = all_4_70
% 261.09/66.71 (31) sum(all_4_68, all_4_70) = all_4_64
% 261.09/66.71 (32) succ(all_4_97) = all_4_59
% 261.09/66.71 (33) sum(all_4_61, all_4_58) = all_4_95
% 261.09/66.71 (34) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.71 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.71 | ~ (pred(v2) = v0))
% 261.09/66.71 (36) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.71 (37) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.71 (38) pred(all_4_98) = all_4_68
% 261.09/66.71 (39) pred(n0) = n10
% 261.09/66.71 (40) pred(all_4_94) = all_4_52
% 261.09/66.71
% 261.09/66.71 Begin of proof
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (13), (38) imply:
% 261.09/66.71 | (41) pred(n0) = all_4_68
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (2), (12) imply:
% 261.09/66.71 | (42) pred(n0) = all_4_71
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (13), (30) imply:
% 261.09/66.71 | (43) succ(n0) = all_4_70
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (2), (20) imply:
% 261.09/66.71 | (44) succ(n0) = all_4_67
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (2), (29) imply:
% 261.09/66.71 | (45) sum(n0, n0) = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (18) with n1, all_4_67, n0, simplifying with (14),
% 261.09/66.71 | (44) gives:
% 261.09/66.71 | (46) all_4_67 = n1
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (18) with all_4_70, all_4_67, n0, simplifying with
% 261.09/66.71 | (43), (44) gives:
% 261.09/66.71 | (47) all_4_67 = all_4_70
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (35) with n10, all_4_68, n0, simplifying with (39),
% 261.09/66.71 | (41) gives:
% 261.09/66.71 | (48) all_4_68 = n10
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (35) with all_4_71, all_4_68, n0, simplifying with
% 261.09/66.71 | (41), (42) gives:
% 261.09/66.71 | (49) all_4_68 = all_4_71
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (46), (47) imply:
% 261.09/66.71 | (50) all_4_70 = n1
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (48), (49) imply:
% 261.09/66.71 | (51) all_4_71 = n10
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (26), (46), (48) imply:
% 261.09/66.71 | (52) sum(n10, n1) = all_4_66
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (31), (48), (50) imply:
% 261.09/66.71 | (53) sum(n10, n1) = all_4_64
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (24), (46), (51) imply:
% 261.09/66.71 | (54) sum(n10, n1) = all_4_65
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (6), (50), (51) imply:
% 261.09/66.71 | (55) sum(n10, n1) = all_4_69
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with n0, all_4_65, n1, n10, simplifying with
% 261.09/66.71 | (11), (54) gives:
% 261.09/66.71 | (56) all_4_65 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_66, all_4_65, n1, n10, simplifying
% 261.09/66.71 | with (52), (54) gives:
% 261.09/66.71 | (57) all_4_65 = all_4_66
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_66, all_4_64, n1, n10, simplifying
% 261.09/66.71 | with (52), (53) gives:
% 261.09/66.71 | (58) all_4_64 = all_4_66
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_69, all_4_64, n1, n10, simplifying
% 261.09/66.71 | with (53), (55) gives:
% 261.09/66.71 | (59) all_4_64 = all_4_69
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (58), (59) imply:
% 261.09/66.71 | (60) all_4_66 = all_4_69
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (60) implies:
% 261.09/66.71 | (61) all_4_66 = all_4_69
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (56), (57) imply:
% 261.09/66.71 | (62) all_4_66 = n0
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (62) implies:
% 261.09/66.71 | (63) all_4_66 = n0
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (61), (63) imply:
% 261.09/66.71 | (64) all_4_69 = n0
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (59), (64) imply:
% 261.09/66.71 | (65) all_4_64 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (17), (56), (65) imply:
% 261.09/66.71 | (66) sum(n0, n0) = all_4_96
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (28), (63), (64) imply:
% 261.09/66.71 | (67) sum(n0, n0) = all_4_97
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with n0, all_4_96, n0, n0, simplifying with
% 261.09/66.71 | (45), (66) gives:
% 261.09/66.71 | (68) all_4_96 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_97, all_4_96, n0, n0, simplifying
% 261.09/66.71 | with (66), (67) gives:
% 261.09/66.71 | (69) all_4_96 = all_4_97
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (68), (69) imply:
% 261.09/66.71 | (70) all_4_97 = n0
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (70) implies:
% 261.09/66.71 | (71) all_4_97 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (21), (68) imply:
% 261.09/66.71 | (72) pred(n0) = all_4_60
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (19), (71) imply:
% 261.09/66.71 | (73) pred(n0) = all_4_63
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (22), (68) imply:
% 261.09/66.71 | (74) succ(n0) = all_4_62
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (32), (71) imply:
% 261.09/66.71 | (75) succ(n0) = all_4_59
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (18) with n1, all_4_59, n0, simplifying with (14),
% 261.09/66.71 | (75) gives:
% 261.09/66.71 | (76) all_4_59 = n1
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (18) with all_4_62, all_4_59, n0, simplifying with
% 261.09/66.71 | (74), (75) gives:
% 261.09/66.71 | (77) all_4_59 = all_4_62
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (35) with n10, all_4_60, n0, simplifying with (39),
% 261.09/66.71 | (72) gives:
% 261.09/66.71 | (78) all_4_60 = n10
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (35) with all_4_63, all_4_60, n0, simplifying with
% 261.09/66.71 | (72), (73) gives:
% 261.09/66.71 | (79) all_4_60 = all_4_63
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (76), (77) imply:
% 261.09/66.71 | (80) all_4_62 = n1
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (78), (79) imply:
% 261.09/66.71 | (81) all_4_63 = n10
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (25), (76), (78) imply:
% 261.09/66.71 | (82) sum(n10, n1) = all_4_58
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (5), (78), (80) imply:
% 261.09/66.71 | (83) sum(n10, n1) = all_4_56
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (8), (76), (81) imply:
% 261.09/66.71 | (84) sum(n10, n1) = all_4_57
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (9), (80), (81) imply:
% 261.09/66.71 | (85) sum(n10, n1) = all_4_61
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with n0, all_4_57, n1, n10, simplifying with
% 261.09/66.71 | (11), (84) gives:
% 261.09/66.71 | (86) all_4_57 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_58, all_4_57, n1, n10, simplifying
% 261.09/66.71 | with (82), (84) gives:
% 261.09/66.71 | (87) all_4_57 = all_4_58
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_57, all_4_56, n1, n10, simplifying
% 261.09/66.71 | with (83), (84) gives:
% 261.09/66.71 | (88) all_4_56 = all_4_57
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_61, all_4_56, n1, n10, simplifying
% 261.09/66.71 | with (83), (85) gives:
% 261.09/66.71 | (89) all_4_56 = all_4_61
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (88), (89) imply:
% 261.09/66.71 | (90) all_4_57 = all_4_61
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (90) implies:
% 261.09/66.71 | (91) all_4_57 = all_4_61
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (86), (87) imply:
% 261.09/66.71 | (92) all_4_58 = n0
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (87), (91) imply:
% 261.09/66.71 | (93) all_4_58 = all_4_61
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (92), (93) imply:
% 261.09/66.71 | (94) all_4_61 = n0
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (89), (94) imply:
% 261.09/66.71 | (95) all_4_56 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (15), (86), (95) imply:
% 261.09/66.71 | (96) sum(n0, n0) = all_4_94
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (33), (92), (94) imply:
% 261.09/66.71 | (97) sum(n0, n0) = all_4_95
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with n0, all_4_94, n0, n0, simplifying with
% 261.09/66.71 | (45), (96) gives:
% 261.09/66.71 | (98) all_4_94 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (27) with all_4_95, all_4_94, n0, n0, simplifying
% 261.09/66.71 | with (96), (97) gives:
% 261.09/66.71 | (99) all_4_94 = all_4_95
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (98), (99) imply:
% 261.09/66.71 | (100) all_4_95 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (40), (98) imply:
% 261.09/66.71 | (101) pred(n0) = all_4_52
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (3), (100) imply:
% 261.09/66.71 | (102) pred(n0) = all_4_55
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (10), (98) imply:
% 261.09/66.71 | (103) succ(n0) = all_4_54
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (1), (100) imply:
% 261.09/66.71 | (104) succ(n0) = all_4_51
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (18) with n1, all_4_51, n0, simplifying with (14),
% 261.09/66.71 | (104) gives:
% 261.09/66.71 | (105) all_4_51 = n1
% 261.09/66.71 |
% 261.09/66.71 | REF_CLOSE: (4), (7), (11), (16), (18), (23), (27), (34), (35), (36), (37),
% 261.09/66.71 | (39), (45), (101), (102), (103), (104), (105) are inconsistent by
% 261.09/66.71 | sub-proof #109.
% 261.09/66.71 |
% 261.09/66.71 End of proof
% 261.09/66.71
% 261.09/66.71 Sub-proof #109 shows that the following formulas are inconsistent:
% 261.09/66.71 ----------------------------------------------------------------
% 261.09/66.71 (1) pred(n0) = all_4_55
% 261.09/66.71 (2) all_4_51 = n1
% 261.09/66.71 (3) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.71 (4) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.71 (5) sum(n10, n1) = n0
% 261.09/66.71 (6) succ(n0) = all_4_51
% 261.09/66.71 (7) ~ (all_4_92 = all_4_93)
% 261.09/66.71 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.09/66.71 ~ (succ(v2) = v0))
% 261.09/66.71 (9) sum(n0, n0) = n0
% 261.09/66.71 (10) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.71 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.71 (12) succ(n0) = all_4_54
% 261.09/66.71 (13) pred(n0) = all_4_52
% 261.09/66.71 (14) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.71 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.71 | ~ (pred(v2) = v0))
% 261.09/66.71 (16) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.71 (17) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.71 (18) pred(n0) = n10
% 261.09/66.71
% 261.09/66.71 Begin of proof
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (8) with all_4_54, all_4_51, n0, simplifying with
% 261.09/66.71 | (6), (12) gives:
% 261.09/66.71 | (19) all_4_51 = all_4_54
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (15) with n10, all_4_52, n0, simplifying with (13),
% 261.09/66.71 | (18) gives:
% 261.09/66.71 | (20) all_4_52 = n10
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (15) with all_4_55, all_4_52, n0, simplifying with
% 261.09/66.71 | (1), (13) gives:
% 261.09/66.71 | (21) all_4_52 = all_4_55
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (2), (19) imply:
% 261.09/66.71 | (22) all_4_54 = n1
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (20), (21) imply:
% 261.09/66.71 | (23) all_4_55 = n10
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (23) implies:
% 261.09/66.71 | (24) all_4_55 = n10
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (2), (16), (20) imply:
% 261.09/66.71 | (25) sum(n10, n1) = all_4_50
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (3), (20), (22) imply:
% 261.09/66.71 | (26) sum(n10, n1) = all_4_48
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (2), (10), (24) imply:
% 261.09/66.71 | (27) sum(n10, n1) = all_4_49
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (4), (22), (24) imply:
% 261.09/66.71 | (28) sum(n10, n1) = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (11) with n0, all_4_49, n1, n10, simplifying with
% 261.09/66.71 | (5), (27) gives:
% 261.09/66.71 | (29) all_4_49 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (11) with all_4_50, all_4_49, n1, n10, simplifying
% 261.09/66.71 | with (25), (27) gives:
% 261.09/66.71 | (30) all_4_49 = all_4_50
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (11) with all_4_49, all_4_48, n1, n10, simplifying
% 261.09/66.71 | with (26), (27) gives:
% 261.09/66.71 | (31) all_4_48 = all_4_49
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (11) with all_4_53, all_4_48, n1, n10, simplifying
% 261.09/66.71 | with (26), (28) gives:
% 261.09/66.71 | (32) all_4_48 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (31), (32) imply:
% 261.09/66.71 | (33) all_4_49 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (33) implies:
% 261.09/66.71 | (34) all_4_49 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (29), (30) imply:
% 261.09/66.71 | (35) all_4_50 = n0
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (30), (34) imply:
% 261.09/66.71 | (36) all_4_50 = all_4_53
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (35), (36) imply:
% 261.09/66.71 | (37) all_4_53 = n0
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (32), (37) imply:
% 261.09/66.71 | (38) all_4_48 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (14), (29), (38) imply:
% 261.09/66.71 | (39) sum(n0, n0) = all_4_92
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (17), (35), (37) imply:
% 261.09/66.71 | (40) sum(n0, n0) = all_4_93
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (11) with n0, all_4_92, n0, n0, simplifying with
% 261.09/66.71 | (9), (39) gives:
% 261.09/66.71 | (41) all_4_92 = n0
% 261.09/66.71 |
% 261.09/66.71 | GROUND_INST: instantiating (11) with all_4_93, all_4_92, n0, n0, simplifying
% 261.09/66.71 | with (39), (40) gives:
% 261.09/66.71 | (42) all_4_92 = all_4_93
% 261.09/66.71 |
% 261.09/66.71 | COMBINE_EQS: (41), (42) imply:
% 261.09/66.71 | (43) all_4_93 = n0
% 261.09/66.71 |
% 261.09/66.71 | SIMP: (43) implies:
% 261.09/66.71 | (44) all_4_93 = n0
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (7), (41), (44) imply:
% 261.09/66.71 | (45) $false
% 261.09/66.71 |
% 261.09/66.71 | CLOSE: (45) is inconsistent.
% 261.09/66.71 |
% 261.09/66.71 End of proof
% 261.09/66.71
% 261.09/66.71 Sub-proof #110 shows that the following formulas are inconsistent:
% 261.09/66.71 ----------------------------------------------------------------
% 261.09/66.71 (1) succ(all_4_95) = all_4_51
% 261.09/66.71 (2) pred(all_4_95) = all_4_55
% 261.09/66.71 (3) sum(n9, n0) = n9
% 261.09/66.71 (4) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.71 (5) sum(all_4_60, all_4_62) = all_4_56
% 261.09/66.71 (6) sum(all_4_71, all_4_70) = all_4_69
% 261.09/66.71 (7) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.71 (8) sum(all_4_63, all_4_59) = all_4_57
% 261.09/66.71 (9) sum(all_4_63, all_4_62) = all_4_61
% 261.09/66.71 (10) succ(all_4_94) = all_4_54
% 261.09/66.71 (11) pred(n8) = n7
% 261.09/66.71 (12) pred(all_4_99) = all_4_71
% 261.09/66.71 (13) sum(all_4_57, all_4_56) = all_4_94
% 261.09/66.71 (14) ~ (all_4_92 = all_4_93)
% 261.09/66.71 (15) sum(all_4_65, all_4_64) = all_4_96
% 261.09/66.71 (16) succ(n10) = n0
% 261.09/66.71 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.09/66.71 | ~ (succ(v2) = v0))
% 261.09/66.71 (18) pred(all_4_97) = all_4_63
% 261.09/66.71 (19) succ(all_4_99) = all_4_67
% 261.09/66.71 (20) pred(all_4_96) = all_4_60
% 261.09/66.71 (21) succ(all_4_96) = all_4_62
% 261.09/66.71 (22) all_4_98 = n2
% 261.09/66.71 (23) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.71 (24) sum(all_4_71, all_4_67) = all_4_65
% 261.09/66.71 (25) sum(all_4_60, all_4_59) = all_4_58
% 261.09/66.71 (26) sum(n5, n5) = n10
% 261.09/66.71 (27) succ(n2) = n3
% 261.09/66.71 (28) sum(all_4_68, all_4_67) = all_4_66
% 261.09/66.71 (29) succ(n8) = n9
% 261.09/66.71 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.71 (31) sum(n9, n9) = n7
% 261.09/66.71 (32) pred(n10) = n9
% 261.09/66.71 (33) sum(all_4_69, all_4_66) = all_4_97
% 261.09/66.71 (34) sum(n7, n9) = n5
% 261.09/66.71 (35) all_4_99 = n2
% 261.09/66.71 (36) pred(n2) = n1
% 261.09/66.71 (37) succ(all_4_98) = all_4_70
% 261.09/66.71 (38) sum(n4, n4) = n8
% 261.09/66.71 (39) sum(all_4_68, all_4_70) = all_4_64
% 261.09/66.71 (40) succ(all_4_97) = all_4_59
% 261.09/66.71 (41) sum(all_4_61, all_4_58) = all_4_95
% 261.09/66.71 (42) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.71 (43) sum(n1, n3) = n4
% 261.09/66.71 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.71 | ~ (pred(v2) = v0))
% 261.09/66.71 (45) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.71 (46) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.71 (47) pred(all_4_98) = all_4_68
% 261.09/66.71 (48) pred(all_4_94) = all_4_52
% 261.09/66.71
% 261.09/66.71 Begin of proof
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (22), (47) imply:
% 261.09/66.71 | (49) pred(n2) = all_4_68
% 261.09/66.71 |
% 261.09/66.71 | REDUCE: (12), (35) imply:
% 261.09/66.71 | (50) pred(n2) = all_4_71
% 261.09/66.71 |
% 261.09/66.72 | REDUCE: (22), (37) imply:
% 261.09/66.72 | (51) succ(n2) = all_4_70
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (19), (35) imply:
% 261.09/66.72 | (52) succ(n2) = all_4_67
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (17) with n3, all_4_67, n2, simplifying with (27),
% 261.09/66.72 | (52) gives:
% 261.09/66.72 | (53) all_4_67 = n3
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (17) with all_4_70, all_4_67, n2, simplifying with
% 261.09/66.72 | (51), (52) gives:
% 261.09/66.72 | (54) all_4_67 = all_4_70
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with n1, all_4_68, n2, simplifying with (36),
% 261.09/66.72 | (49) gives:
% 261.09/66.72 | (55) all_4_68 = n1
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n2, simplifying with
% 261.09/66.72 | (49), (50) gives:
% 261.09/66.72 | (56) all_4_68 = all_4_71
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (53), (54) imply:
% 261.09/66.72 | (57) all_4_70 = n3
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (55), (56) imply:
% 261.09/66.72 | (58) all_4_71 = n1
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (28), (53), (55) imply:
% 261.09/66.72 | (59) sum(n1, n3) = all_4_66
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (39), (55), (57) imply:
% 261.09/66.72 | (60) sum(n1, n3) = all_4_64
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (24), (53), (58) imply:
% 261.09/66.72 | (61) sum(n1, n3) = all_4_65
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (6), (57), (58) imply:
% 261.09/66.72 | (62) sum(n1, n3) = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with n4, all_4_65, n3, n1, simplifying with
% 261.09/66.72 | (43), (61) gives:
% 261.09/66.72 | (63) all_4_65 = n4
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_66, all_4_65, n3, n1, simplifying
% 261.09/66.72 | with (59), (61) gives:
% 261.09/66.72 | (64) all_4_65 = all_4_66
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_66, all_4_64, n3, n1, simplifying
% 261.09/66.72 | with (59), (60) gives:
% 261.09/66.72 | (65) all_4_64 = all_4_66
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_69, all_4_64, n3, n1, simplifying
% 261.09/66.72 | with (60), (62) gives:
% 261.09/66.72 | (66) all_4_64 = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (65), (66) imply:
% 261.09/66.72 | (67) all_4_66 = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (67) implies:
% 261.09/66.72 | (68) all_4_66 = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (63), (64) imply:
% 261.09/66.72 | (69) all_4_66 = n4
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (69) implies:
% 261.09/66.72 | (70) all_4_66 = n4
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (68), (70) imply:
% 261.09/66.72 | (71) all_4_69 = n4
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (66), (71) imply:
% 261.09/66.72 | (72) all_4_64 = n4
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (15), (63), (72) imply:
% 261.09/66.72 | (73) sum(n4, n4) = all_4_96
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (33), (70), (71) imply:
% 261.09/66.72 | (74) sum(n4, n4) = all_4_97
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with n8, all_4_96, n4, n4, simplifying with
% 261.09/66.72 | (38), (73) gives:
% 261.09/66.72 | (75) all_4_96 = n8
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_97, all_4_96, n4, n4, simplifying
% 261.09/66.72 | with (73), (74) gives:
% 261.09/66.72 | (76) all_4_96 = all_4_97
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (75), (76) imply:
% 261.09/66.72 | (77) all_4_97 = n8
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (77) implies:
% 261.09/66.72 | (78) all_4_97 = n8
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (20), (75) imply:
% 261.09/66.72 | (79) pred(n8) = all_4_60
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (18), (78) imply:
% 261.09/66.72 | (80) pred(n8) = all_4_63
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (21), (75) imply:
% 261.09/66.72 | (81) succ(n8) = all_4_62
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (40), (78) imply:
% 261.09/66.72 | (82) succ(n8) = all_4_59
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (17) with n9, all_4_59, n8, simplifying with (29),
% 261.09/66.72 | (82) gives:
% 261.09/66.72 | (83) all_4_59 = n9
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (17) with all_4_62, all_4_59, n8, simplifying with
% 261.09/66.72 | (81), (82) gives:
% 261.09/66.72 | (84) all_4_59 = all_4_62
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with n7, all_4_60, n8, simplifying with (11),
% 261.09/66.72 | (79) gives:
% 261.09/66.72 | (85) all_4_60 = n7
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n8, simplifying with
% 261.09/66.72 | (79), (80) gives:
% 261.09/66.72 | (86) all_4_60 = all_4_63
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (83), (84) imply:
% 261.09/66.72 | (87) all_4_62 = n9
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (85), (86) imply:
% 261.09/66.72 | (88) all_4_63 = n7
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (25), (83), (85) imply:
% 261.09/66.72 | (89) sum(n7, n9) = all_4_58
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (5), (85), (87) imply:
% 261.09/66.72 | (90) sum(n7, n9) = all_4_56
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (8), (83), (88) imply:
% 261.09/66.72 | (91) sum(n7, n9) = all_4_57
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (9), (87), (88) imply:
% 261.09/66.72 | (92) sum(n7, n9) = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with n5, all_4_57, n9, n7, simplifying with
% 261.09/66.72 | (34), (91) gives:
% 261.09/66.72 | (93) all_4_57 = n5
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_58, all_4_57, n9, n7, simplifying
% 261.09/66.72 | with (89), (91) gives:
% 261.09/66.72 | (94) all_4_57 = all_4_58
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_57, all_4_56, n9, n7, simplifying
% 261.09/66.72 | with (90), (91) gives:
% 261.09/66.72 | (95) all_4_56 = all_4_57
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_61, all_4_56, n9, n7, simplifying
% 261.09/66.72 | with (90), (92) gives:
% 261.09/66.72 | (96) all_4_56 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (95), (96) imply:
% 261.09/66.72 | (97) all_4_57 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (97) implies:
% 261.09/66.72 | (98) all_4_57 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (93), (94) imply:
% 261.09/66.72 | (99) all_4_58 = n5
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (94), (98) imply:
% 261.09/66.72 | (100) all_4_58 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (99), (100) imply:
% 261.09/66.72 | (101) all_4_61 = n5
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (96), (101) imply:
% 261.09/66.72 | (102) all_4_56 = n5
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (13), (93), (102) imply:
% 261.09/66.72 | (103) sum(n5, n5) = all_4_94
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (41), (99), (101) imply:
% 261.09/66.72 | (104) sum(n5, n5) = all_4_95
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with n10, all_4_94, n5, n5, simplifying with
% 261.09/66.72 | (26), (103) gives:
% 261.09/66.72 | (105) all_4_94 = n10
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_95, all_4_94, n5, n5, simplifying
% 261.09/66.72 | with (103), (104) gives:
% 261.09/66.72 | (106) all_4_94 = all_4_95
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (105), (106) imply:
% 261.09/66.72 | (107) all_4_95 = n10
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (48), (105) imply:
% 261.09/66.72 | (108) pred(n10) = all_4_52
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (2), (107) imply:
% 261.09/66.72 | (109) pred(n10) = all_4_55
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (10), (105) imply:
% 261.09/66.72 | (110) succ(n10) = all_4_54
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (1), (107) imply:
% 261.09/66.72 | (111) succ(n10) = all_4_51
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (17) with n0, all_4_51, n10, simplifying with (16),
% 261.09/66.72 | (111) gives:
% 261.09/66.72 | (112) all_4_51 = n0
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (17) with all_4_54, all_4_51, n10, simplifying with
% 261.09/66.72 | (110), (111) gives:
% 261.09/66.72 | (113) all_4_51 = all_4_54
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with n9, all_4_52, n10, simplifying with (32),
% 261.09/66.72 | (108) gives:
% 261.09/66.72 | (114) all_4_52 = n9
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with all_4_55, all_4_52, n10, simplifying with
% 261.09/66.72 | (108), (109) gives:
% 261.09/66.72 | (115) all_4_52 = all_4_55
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (112), (113) imply:
% 261.09/66.72 | (116) all_4_54 = n0
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (114), (115) imply:
% 261.09/66.72 | (117) all_4_55 = n9
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (117) implies:
% 261.09/66.72 | (118) all_4_55 = n9
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (45), (112), (114) imply:
% 261.09/66.72 | (119) sum(n9, n0) = all_4_50
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (4), (114), (116) imply:
% 261.09/66.72 | (120) sum(n9, n0) = all_4_48
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (23), (112), (118) imply:
% 261.09/66.72 | (121) sum(n9, n0) = all_4_49
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (7), (116), (118) imply:
% 261.09/66.72 | (122) sum(n9, n0) = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with n9, all_4_49, n0, n9, simplifying with
% 261.09/66.72 | (3), (121) gives:
% 261.09/66.72 | (123) all_4_49 = n9
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_50, all_4_49, n0, n9, simplifying
% 261.09/66.72 | with (119), (121) gives:
% 261.09/66.72 | (124) all_4_49 = all_4_50
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_49, all_4_48, n0, n9, simplifying
% 261.09/66.72 | with (120), (121) gives:
% 261.09/66.72 | (125) all_4_48 = all_4_49
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_53, all_4_48, n0, n9, simplifying
% 261.09/66.72 | with (120), (122) gives:
% 261.09/66.72 | (126) all_4_48 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (125), (126) imply:
% 261.09/66.72 | (127) all_4_49 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (127) implies:
% 261.09/66.72 | (128) all_4_49 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (123), (124) imply:
% 261.09/66.72 | (129) all_4_50 = n9
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (124), (128) imply:
% 261.09/66.72 | (130) all_4_50 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (129), (130) imply:
% 261.09/66.72 | (131) all_4_53 = n9
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (126), (131) imply:
% 261.09/66.72 | (132) all_4_48 = n9
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (42), (123), (132) imply:
% 261.09/66.72 | (133) sum(n9, n9) = all_4_92
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (46), (129), (131) imply:
% 261.09/66.72 | (134) sum(n9, n9) = all_4_93
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with n7, all_4_92, n9, n9, simplifying with
% 261.09/66.72 | (31), (133) gives:
% 261.09/66.72 | (135) all_4_92 = n7
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (30) with all_4_93, all_4_92, n9, n9, simplifying
% 261.09/66.72 | with (133), (134) gives:
% 261.09/66.72 | (136) all_4_92 = all_4_93
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (135), (136) imply:
% 261.09/66.72 | (137) all_4_93 = n7
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (137) implies:
% 261.09/66.72 | (138) all_4_93 = n7
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (14), (135), (138) imply:
% 261.09/66.72 | (139) $false
% 261.09/66.72 |
% 261.09/66.72 | CLOSE: (139) is inconsistent.
% 261.09/66.72 |
% 261.09/66.72 End of proof
% 261.09/66.72
% 261.09/66.72 Sub-proof #111 shows that the following formulas are inconsistent:
% 261.09/66.72 ----------------------------------------------------------------
% 261.09/66.72 (1) succ(all_4_95) = all_4_51
% 261.09/66.72 (2) sum(n4, n6) = n10
% 261.09/66.72 (3) pred(all_4_95) = all_4_55
% 261.09/66.72 (4) succ(n9) = n10
% 261.09/66.72 (5) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.72 (6) sum(all_4_60, all_4_62) = all_4_56
% 261.09/66.72 (7) sum(all_4_71, all_4_70) = all_4_69
% 261.09/66.72 (8) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.72 (9) sum(all_4_63, all_4_59) = all_4_57
% 261.09/66.72 (10) sum(all_4_63, all_4_62) = all_4_61
% 261.09/66.72 (11) succ(all_4_94) = all_4_54
% 261.09/66.72 (12) sum(n8, n8) = n5
% 261.09/66.72 (13) pred(all_4_99) = all_4_71
% 261.09/66.72 (14) sum(n8, n10) = n7
% 261.09/66.72 (15) sum(all_4_57, all_4_56) = all_4_94
% 261.09/66.72 (16) sum(n3, n5) = n8
% 261.09/66.72 (17) sum(n10, n10) = n9
% 261.09/66.72 (18) pred(n5) = n4
% 261.09/66.72 (19) ~ (all_4_92 = all_4_93)
% 261.09/66.72 (20) sum(all_4_65, all_4_64) = all_4_96
% 261.09/66.72 (21) pred(n4) = n3
% 261.09/66.72 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.09/66.72 | ~ (succ(v2) = v0))
% 261.09/66.72 (23) pred(all_4_97) = all_4_63
% 261.09/66.72 (24) succ(all_4_99) = all_4_67
% 261.09/66.72 (25) pred(n9) = n8
% 261.09/66.72 (26) pred(all_4_96) = all_4_60
% 261.09/66.72 (27) succ(all_4_96) = all_4_62
% 261.09/66.72 (28) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.72 (29) sum(all_4_71, all_4_67) = all_4_65
% 261.09/66.72 (30) sum(all_4_60, all_4_59) = all_4_58
% 261.09/66.72 (31) sum(all_4_68, all_4_67) = all_4_66
% 261.09/66.72 (32) all_4_99 = n4
% 261.09/66.72 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.72 (34) succ(n5) = n6
% 261.09/66.72 (35) sum(all_4_69, all_4_66) = all_4_97
% 261.09/66.72 (36) succ(n4) = n5
% 261.09/66.72 (37) succ(all_4_98) = all_4_70
% 261.09/66.72 (38) sum(all_4_68, all_4_70) = all_4_64
% 261.09/66.72 (39) succ(all_4_97) = all_4_59
% 261.09/66.72 (40) sum(all_4_61, all_4_58) = all_4_95
% 261.09/66.72 (41) sum(n7, n7) = n3
% 261.09/66.72 (42) all_4_98 = n4
% 261.09/66.72 (43) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.72 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.72 | ~ (pred(v2) = v0))
% 261.09/66.72 (45) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.72 (46) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.72 (47) pred(all_4_98) = all_4_68
% 261.09/66.72 (48) pred(all_4_94) = all_4_52
% 261.09/66.72
% 261.09/66.72 Begin of proof
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (42), (47) imply:
% 261.09/66.72 | (49) pred(n4) = all_4_68
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (13), (32) imply:
% 261.09/66.72 | (50) pred(n4) = all_4_71
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (37), (42) imply:
% 261.09/66.72 | (51) succ(n4) = all_4_70
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (24), (32) imply:
% 261.09/66.72 | (52) succ(n4) = all_4_67
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (22) with n5, all_4_67, n4, simplifying with (36),
% 261.09/66.72 | (52) gives:
% 261.09/66.72 | (53) all_4_67 = n5
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (22) with all_4_70, all_4_67, n4, simplifying with
% 261.09/66.72 | (51), (52) gives:
% 261.09/66.72 | (54) all_4_67 = all_4_70
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with n3, all_4_68, n4, simplifying with (21),
% 261.09/66.72 | (49) gives:
% 261.09/66.72 | (55) all_4_68 = n3
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n4, simplifying with
% 261.09/66.72 | (49), (50) gives:
% 261.09/66.72 | (56) all_4_68 = all_4_71
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (53), (54) imply:
% 261.09/66.72 | (57) all_4_70 = n5
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (55), (56) imply:
% 261.09/66.72 | (58) all_4_71 = n3
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (31), (53), (55) imply:
% 261.09/66.72 | (59) sum(n3, n5) = all_4_66
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (38), (55), (57) imply:
% 261.09/66.72 | (60) sum(n3, n5) = all_4_64
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (29), (53), (58) imply:
% 261.09/66.72 | (61) sum(n3, n5) = all_4_65
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (7), (57), (58) imply:
% 261.09/66.72 | (62) sum(n3, n5) = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with n8, all_4_65, n5, n3, simplifying with
% 261.09/66.72 | (16), (61) gives:
% 261.09/66.72 | (63) all_4_65 = n8
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_66, all_4_65, n5, n3, simplifying
% 261.09/66.72 | with (59), (61) gives:
% 261.09/66.72 | (64) all_4_65 = all_4_66
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_66, all_4_64, n5, n3, simplifying
% 261.09/66.72 | with (59), (60) gives:
% 261.09/66.72 | (65) all_4_64 = all_4_66
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_69, all_4_64, n5, n3, simplifying
% 261.09/66.72 | with (60), (62) gives:
% 261.09/66.72 | (66) all_4_64 = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (65), (66) imply:
% 261.09/66.72 | (67) all_4_66 = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (67) implies:
% 261.09/66.72 | (68) all_4_66 = all_4_69
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (63), (64) imply:
% 261.09/66.72 | (69) all_4_66 = n8
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (69) implies:
% 261.09/66.72 | (70) all_4_66 = n8
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (68), (70) imply:
% 261.09/66.72 | (71) all_4_69 = n8
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (66), (71) imply:
% 261.09/66.72 | (72) all_4_64 = n8
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (20), (63), (72) imply:
% 261.09/66.72 | (73) sum(n8, n8) = all_4_96
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (35), (70), (71) imply:
% 261.09/66.72 | (74) sum(n8, n8) = all_4_97
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with n5, all_4_96, n8, n8, simplifying with
% 261.09/66.72 | (12), (73) gives:
% 261.09/66.72 | (75) all_4_96 = n5
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_97, all_4_96, n8, n8, simplifying
% 261.09/66.72 | with (73), (74) gives:
% 261.09/66.72 | (76) all_4_96 = all_4_97
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (75), (76) imply:
% 261.09/66.72 | (77) all_4_97 = n5
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (77) implies:
% 261.09/66.72 | (78) all_4_97 = n5
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (26), (75) imply:
% 261.09/66.72 | (79) pred(n5) = all_4_60
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (23), (78) imply:
% 261.09/66.72 | (80) pred(n5) = all_4_63
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (27), (75) imply:
% 261.09/66.72 | (81) succ(n5) = all_4_62
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (39), (78) imply:
% 261.09/66.72 | (82) succ(n5) = all_4_59
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (22) with n6, all_4_59, n5, simplifying with (34),
% 261.09/66.72 | (82) gives:
% 261.09/66.72 | (83) all_4_59 = n6
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (22) with all_4_62, all_4_59, n5, simplifying with
% 261.09/66.72 | (81), (82) gives:
% 261.09/66.72 | (84) all_4_59 = all_4_62
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with n4, all_4_60, n5, simplifying with (18),
% 261.09/66.72 | (79) gives:
% 261.09/66.72 | (85) all_4_60 = n4
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n5, simplifying with
% 261.09/66.72 | (79), (80) gives:
% 261.09/66.72 | (86) all_4_60 = all_4_63
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (83), (84) imply:
% 261.09/66.72 | (87) all_4_62 = n6
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (85), (86) imply:
% 261.09/66.72 | (88) all_4_63 = n4
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (30), (83), (85) imply:
% 261.09/66.72 | (89) sum(n4, n6) = all_4_58
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (6), (85), (87) imply:
% 261.09/66.72 | (90) sum(n4, n6) = all_4_56
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (9), (83), (88) imply:
% 261.09/66.72 | (91) sum(n4, n6) = all_4_57
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (10), (87), (88) imply:
% 261.09/66.72 | (92) sum(n4, n6) = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with n10, all_4_57, n6, n4, simplifying with
% 261.09/66.72 | (2), (91) gives:
% 261.09/66.72 | (93) all_4_57 = n10
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_58, all_4_57, n6, n4, simplifying
% 261.09/66.72 | with (89), (91) gives:
% 261.09/66.72 | (94) all_4_57 = all_4_58
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_57, all_4_56, n6, n4, simplifying
% 261.09/66.72 | with (90), (91) gives:
% 261.09/66.72 | (95) all_4_56 = all_4_57
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_61, all_4_56, n6, n4, simplifying
% 261.09/66.72 | with (90), (92) gives:
% 261.09/66.72 | (96) all_4_56 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (95), (96) imply:
% 261.09/66.72 | (97) all_4_57 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (97) implies:
% 261.09/66.72 | (98) all_4_57 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (93), (94) imply:
% 261.09/66.72 | (99) all_4_58 = n10
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (94), (98) imply:
% 261.09/66.72 | (100) all_4_58 = all_4_61
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (99), (100) imply:
% 261.09/66.72 | (101) all_4_61 = n10
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (96), (101) imply:
% 261.09/66.72 | (102) all_4_56 = n10
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (15), (93), (102) imply:
% 261.09/66.72 | (103) sum(n10, n10) = all_4_94
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (40), (99), (101) imply:
% 261.09/66.72 | (104) sum(n10, n10) = all_4_95
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with n9, all_4_94, n10, n10, simplifying with
% 261.09/66.72 | (17), (103) gives:
% 261.09/66.72 | (105) all_4_94 = n9
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (33) with all_4_95, all_4_94, n10, n10, simplifying
% 261.09/66.72 | with (103), (104) gives:
% 261.09/66.72 | (106) all_4_94 = all_4_95
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (105), (106) imply:
% 261.09/66.72 | (107) all_4_95 = n9
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (48), (105) imply:
% 261.09/66.72 | (108) pred(n9) = all_4_52
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (3), (107) imply:
% 261.09/66.72 | (109) pred(n9) = all_4_55
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (11), (105) imply:
% 261.09/66.72 | (110) succ(n9) = all_4_54
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (1), (107) imply:
% 261.09/66.72 | (111) succ(n9) = all_4_51
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (22) with n10, all_4_51, n9, simplifying with (4),
% 261.09/66.72 | (111) gives:
% 261.09/66.72 | (112) all_4_51 = n10
% 261.09/66.72 |
% 261.09/66.72 | REF_CLOSE: (5), (8), (14), (19), (22), (25), (28), (33), (41), (43), (44),
% 261.09/66.72 | (45), (46), (108), (109), (110), (111), (112) are inconsistent by
% 261.09/66.72 | sub-proof #112.
% 261.09/66.72 |
% 261.09/66.72 End of proof
% 261.09/66.72
% 261.09/66.72 Sub-proof #112 shows that the following formulas are inconsistent:
% 261.09/66.72 ----------------------------------------------------------------
% 261.09/66.72 (1) succ(n9) = all_4_51
% 261.09/66.72 (2) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.72 (3) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.72 (4) sum(n8, n10) = n7
% 261.09/66.72 (5) all_4_51 = n10
% 261.09/66.72 (6) pred(n9) = all_4_52
% 261.09/66.72 (7) ~ (all_4_92 = all_4_93)
% 261.09/66.72 (8) pred(n9) = all_4_55
% 261.09/66.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.09/66.72 ~ (succ(v2) = v0))
% 261.09/66.72 (10) pred(n9) = n8
% 261.09/66.72 (11) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.72 (12) succ(n9) = all_4_54
% 261.09/66.72 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.72 (14) sum(n7, n7) = n3
% 261.09/66.72 (15) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.72 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.72 | ~ (pred(v2) = v0))
% 261.09/66.72 (17) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.72 (18) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.72
% 261.09/66.72 Begin of proof
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (9) with all_4_54, all_4_51, n9, simplifying with
% 261.09/66.72 | (1), (12) gives:
% 261.09/66.72 | (19) all_4_51 = all_4_54
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (16) with n8, all_4_52, n9, simplifying with (6),
% 261.09/66.72 | (10) gives:
% 261.09/66.72 | (20) all_4_52 = n8
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (16) with all_4_55, all_4_52, n9, simplifying with
% 261.09/66.72 | (6), (8) gives:
% 261.09/66.72 | (21) all_4_52 = all_4_55
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (5), (19) imply:
% 261.09/66.72 | (22) all_4_54 = n10
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (20), (21) imply:
% 261.09/66.72 | (23) all_4_55 = n8
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (23) implies:
% 261.09/66.72 | (24) all_4_55 = n8
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (5), (17), (20) imply:
% 261.09/66.72 | (25) sum(n8, n10) = all_4_50
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (2), (20), (22) imply:
% 261.09/66.72 | (26) sum(n8, n10) = all_4_48
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (5), (11), (24) imply:
% 261.09/66.72 | (27) sum(n8, n10) = all_4_49
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (3), (22), (24) imply:
% 261.09/66.72 | (28) sum(n8, n10) = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (13) with n7, all_4_49, n10, n8, simplifying with
% 261.09/66.72 | (4), (27) gives:
% 261.09/66.72 | (29) all_4_49 = n7
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (13) with all_4_50, all_4_49, n10, n8, simplifying
% 261.09/66.72 | with (25), (27) gives:
% 261.09/66.72 | (30) all_4_49 = all_4_50
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (13) with all_4_49, all_4_48, n10, n8, simplifying
% 261.09/66.72 | with (26), (27) gives:
% 261.09/66.72 | (31) all_4_48 = all_4_49
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (13) with all_4_53, all_4_48, n10, n8, simplifying
% 261.09/66.72 | with (26), (28) gives:
% 261.09/66.72 | (32) all_4_48 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (31), (32) imply:
% 261.09/66.72 | (33) all_4_49 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (33) implies:
% 261.09/66.72 | (34) all_4_49 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (29), (30) imply:
% 261.09/66.72 | (35) all_4_50 = n7
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (30), (34) imply:
% 261.09/66.72 | (36) all_4_50 = all_4_53
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (35), (36) imply:
% 261.09/66.72 | (37) all_4_53 = n7
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (32), (37) imply:
% 261.09/66.72 | (38) all_4_48 = n7
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (15), (29), (38) imply:
% 261.09/66.72 | (39) sum(n7, n7) = all_4_92
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (18), (35), (37) imply:
% 261.09/66.72 | (40) sum(n7, n7) = all_4_93
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (13) with n3, all_4_92, n7, n7, simplifying with
% 261.09/66.72 | (14), (39) gives:
% 261.09/66.72 | (41) all_4_92 = n3
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (13) with all_4_93, all_4_92, n7, n7, simplifying
% 261.09/66.72 | with (39), (40) gives:
% 261.09/66.72 | (42) all_4_92 = all_4_93
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (41), (42) imply:
% 261.09/66.72 | (43) all_4_93 = n3
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (43) implies:
% 261.09/66.72 | (44) all_4_93 = n3
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (7), (41), (44) imply:
% 261.09/66.72 | (45) $false
% 261.09/66.72 |
% 261.09/66.72 | CLOSE: (45) is inconsistent.
% 261.09/66.72 |
% 261.09/66.72 End of proof
% 261.09/66.72
% 261.09/66.72 Sub-proof #113 shows that the following formulas are inconsistent:
% 261.09/66.72 ----------------------------------------------------------------
% 261.09/66.72 (1) pred(n8) = all_4_55
% 261.09/66.72 (2) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.72 (3) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.72 (4) pred(n8) = n7
% 261.09/66.72 (5) ~ (all_4_92 = all_4_93)
% 261.09/66.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.09/66.72 ~ (succ(v2) = v0))
% 261.09/66.72 (7) succ(n8) = all_4_51
% 261.09/66.72 (8) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.72 (9) succ(n8) = all_4_54
% 261.09/66.72 (10) sum(n5, n5) = n10
% 261.09/66.72 (11) all_4_51 = n9
% 261.09/66.72 (12) pred(n8) = all_4_52
% 261.09/66.72 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.72 (14) sum(n7, n9) = n5
% 261.09/66.72 (15) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.72 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.72 | ~ (pred(v2) = v0))
% 261.09/66.72 (17) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.72 (18) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.72
% 261.09/66.72 Begin of proof
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (6) with all_4_54, all_4_51, n8, simplifying with
% 261.09/66.72 | (7), (9) gives:
% 261.09/66.72 | (19) all_4_51 = all_4_54
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (16) with n7, all_4_52, n8, simplifying with (4),
% 261.09/66.72 | (12) gives:
% 261.09/66.72 | (20) all_4_52 = n7
% 261.09/66.72 |
% 261.09/66.72 | GROUND_INST: instantiating (16) with all_4_55, all_4_52, n8, simplifying with
% 261.09/66.72 | (1), (12) gives:
% 261.09/66.72 | (21) all_4_52 = all_4_55
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (11), (19) imply:
% 261.09/66.72 | (22) all_4_54 = n9
% 261.09/66.72 |
% 261.09/66.72 | COMBINE_EQS: (20), (21) imply:
% 261.09/66.72 | (23) all_4_55 = n7
% 261.09/66.72 |
% 261.09/66.72 | SIMP: (23) implies:
% 261.09/66.72 | (24) all_4_55 = n7
% 261.09/66.72 |
% 261.09/66.72 | REDUCE: (11), (17), (20) imply:
% 261.09/66.73 | (25) sum(n7, n9) = all_4_50
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (2), (20), (22) imply:
% 261.09/66.73 | (26) sum(n7, n9) = all_4_48
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (8), (11), (24) imply:
% 261.09/66.73 | (27) sum(n7, n9) = all_4_49
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (3), (22), (24) imply:
% 261.09/66.73 | (28) sum(n7, n9) = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (13) with n5, all_4_49, n9, n7, simplifying with
% 261.09/66.73 | (14), (27) gives:
% 261.09/66.73 | (29) all_4_49 = n5
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (13) with all_4_50, all_4_49, n9, n7, simplifying
% 261.09/66.73 | with (25), (27) gives:
% 261.09/66.73 | (30) all_4_49 = all_4_50
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (13) with all_4_49, all_4_48, n9, n7, simplifying
% 261.09/66.73 | with (26), (27) gives:
% 261.09/66.73 | (31) all_4_48 = all_4_49
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (13) with all_4_53, all_4_48, n9, n7, simplifying
% 261.09/66.73 | with (26), (28) gives:
% 261.09/66.73 | (32) all_4_48 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (31), (32) imply:
% 261.09/66.73 | (33) all_4_49 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | SIMP: (33) implies:
% 261.09/66.73 | (34) all_4_49 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (29), (30) imply:
% 261.09/66.73 | (35) all_4_50 = n5
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (30), (34) imply:
% 261.09/66.73 | (36) all_4_50 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (35), (36) imply:
% 261.09/66.73 | (37) all_4_53 = n5
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (32), (37) imply:
% 261.09/66.73 | (38) all_4_48 = n5
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (15), (29), (38) imply:
% 261.09/66.73 | (39) sum(n5, n5) = all_4_92
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (18), (35), (37) imply:
% 261.09/66.73 | (40) sum(n5, n5) = all_4_93
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (13) with n10, all_4_92, n5, n5, simplifying with
% 261.09/66.73 | (10), (39) gives:
% 261.09/66.73 | (41) all_4_92 = n10
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (13) with all_4_93, all_4_92, n5, n5, simplifying
% 261.09/66.73 | with (39), (40) gives:
% 261.09/66.73 | (42) all_4_92 = all_4_93
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (41), (42) imply:
% 261.09/66.73 | (43) all_4_93 = n10
% 261.09/66.73 |
% 261.09/66.73 | SIMP: (43) implies:
% 261.09/66.73 | (44) all_4_93 = n10
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (5), (41), (44) imply:
% 261.09/66.73 | (45) $false
% 261.09/66.73 |
% 261.09/66.73 | CLOSE: (45) is inconsistent.
% 261.09/66.73 |
% 261.09/66.73 End of proof
% 261.09/66.73
% 261.09/66.73 Sub-proof #114 shows that the following formulas are inconsistent:
% 261.09/66.73 ----------------------------------------------------------------
% 261.09/66.73 (1) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.09/66.73 all_4_99)
% 261.09/66.73 (2) all_4_96 = n10
% 261.09/66.73 (3) all_4_94 = n7
% 261.09/66.73 (4) all_4_97 = n10
% 261.09/66.73 (5) all_4_99 = n8
% 261.09/66.73 (6) all_4_95 = n7
% 261.09/66.73 (7) all_4_98 = n8
% 261.09/66.73
% 261.09/66.73 Begin of proof
% 261.09/66.73 |
% 261.09/66.73 | BETA: splitting (1) gives:
% 261.09/66.73 |
% 261.09/66.73 | Case 1:
% 261.09/66.73 | |
% 261.09/66.73 | | (8) ~ (all_4_94 = all_4_95)
% 261.09/66.73 | |
% 261.09/66.73 | | REDUCE: (3), (6), (8) imply:
% 261.09/66.73 | | (9) $false
% 261.09/66.73 | |
% 261.09/66.73 | | CLOSE: (9) is inconsistent.
% 261.09/66.73 | |
% 261.09/66.73 | Case 2:
% 261.09/66.73 | |
% 261.09/66.73 | | (10) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.09/66.73 | |
% 261.09/66.73 | | REF_CLOSE: (2), (4), (5), (7), (10) are inconsistent by sub-proof #115.
% 261.09/66.73 | |
% 261.09/66.73 | End of split
% 261.09/66.73 |
% 261.09/66.73 End of proof
% 261.09/66.73
% 261.09/66.73 Sub-proof #115 shows that the following formulas are inconsistent:
% 261.09/66.73 ----------------------------------------------------------------
% 261.09/66.73 (1) all_4_96 = n10
% 261.09/66.73 (2) all_4_97 = n10
% 261.09/66.73 (3) all_4_99 = n8
% 261.09/66.73 (4) all_4_98 = n8
% 261.09/66.73 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.09/66.73
% 261.09/66.73 Begin of proof
% 261.09/66.73 |
% 261.09/66.73 | BETA: splitting (5) gives:
% 261.09/66.73 |
% 261.09/66.73 | Case 1:
% 261.09/66.73 | |
% 261.09/66.73 | | (6) ~ (all_4_96 = all_4_97)
% 261.09/66.73 | |
% 261.09/66.73 | | REDUCE: (1), (2), (6) imply:
% 261.09/66.73 | | (7) $false
% 261.09/66.73 | |
% 261.09/66.73 | | CLOSE: (7) is inconsistent.
% 261.09/66.73 | |
% 261.09/66.73 | Case 2:
% 261.09/66.73 | |
% 261.09/66.73 | | (8) ~ (all_4_98 = all_4_99)
% 261.09/66.73 | |
% 261.09/66.73 | | REDUCE: (3), (4), (8) imply:
% 261.09/66.73 | | (9) $false
% 261.09/66.73 | |
% 261.09/66.73 | | CLOSE: (9) is inconsistent.
% 261.09/66.73 | |
% 261.09/66.73 | End of split
% 261.09/66.73 |
% 261.09/66.73 End of proof
% 261.09/66.73
% 261.09/66.73 Sub-proof #116 shows that the following formulas are inconsistent:
% 261.09/66.73 ----------------------------------------------------------------
% 261.09/66.73 (1) pred(n7) = all_4_52
% 261.09/66.73 (2) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.73 (3) sum(n3, n3) = n6
% 261.09/66.73 (4) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.73 (5) pred(n7) = all_4_55
% 261.09/66.73 (6) succ(n7) = all_4_54
% 261.09/66.73 (7) sum(n6, n8) = n3
% 261.09/66.73 (8) ~ (all_4_92 = all_4_93)
% 261.09/66.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.09/66.73 ~ (succ(v2) = v0))
% 261.09/66.73 (10) sum(all_4_55, all_4_51) = all_4_49
% 261.09/66.73 (11) pred(n7) = n6
% 261.09/66.73 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.09/66.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.09/66.73 (13) all_4_51 = n8
% 261.09/66.73 (14) succ(n7) = all_4_51
% 261.09/66.73 (15) sum(all_4_49, all_4_48) = all_4_92
% 261.09/66.73 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.09/66.73 | ~ (pred(v2) = v0))
% 261.09/66.73 (17) sum(all_4_52, all_4_51) = all_4_50
% 261.09/66.73 (18) sum(all_4_53, all_4_50) = all_4_93
% 261.09/66.73
% 261.09/66.73 Begin of proof
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (9) with all_4_54, all_4_51, n7, simplifying with
% 261.09/66.73 | (6), (14) gives:
% 261.09/66.73 | (19) all_4_51 = all_4_54
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (16) with n6, all_4_52, n7, simplifying with (1),
% 261.09/66.73 | (11) gives:
% 261.09/66.73 | (20) all_4_52 = n6
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (16) with all_4_55, all_4_52, n7, simplifying with
% 261.09/66.73 | (1), (5) gives:
% 261.09/66.73 | (21) all_4_52 = all_4_55
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (13), (19) imply:
% 261.09/66.73 | (22) all_4_54 = n8
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (20), (21) imply:
% 261.09/66.73 | (23) all_4_55 = n6
% 261.09/66.73 |
% 261.09/66.73 | SIMP: (23) implies:
% 261.09/66.73 | (24) all_4_55 = n6
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (13), (17), (20) imply:
% 261.09/66.73 | (25) sum(n6, n8) = all_4_50
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (2), (20), (22) imply:
% 261.09/66.73 | (26) sum(n6, n8) = all_4_48
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (10), (13), (24) imply:
% 261.09/66.73 | (27) sum(n6, n8) = all_4_49
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (4), (22), (24) imply:
% 261.09/66.73 | (28) sum(n6, n8) = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (12) with n3, all_4_49, n8, n6, simplifying with
% 261.09/66.73 | (7), (27) gives:
% 261.09/66.73 | (29) all_4_49 = n3
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (12) with all_4_50, all_4_49, n8, n6, simplifying
% 261.09/66.73 | with (25), (27) gives:
% 261.09/66.73 | (30) all_4_49 = all_4_50
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (12) with all_4_49, all_4_48, n8, n6, simplifying
% 261.09/66.73 | with (26), (27) gives:
% 261.09/66.73 | (31) all_4_48 = all_4_49
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (12) with all_4_53, all_4_48, n8, n6, simplifying
% 261.09/66.73 | with (26), (28) gives:
% 261.09/66.73 | (32) all_4_48 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (31), (32) imply:
% 261.09/66.73 | (33) all_4_49 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | SIMP: (33) implies:
% 261.09/66.73 | (34) all_4_49 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (29), (30) imply:
% 261.09/66.73 | (35) all_4_50 = n3
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (30), (34) imply:
% 261.09/66.73 | (36) all_4_50 = all_4_53
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (35), (36) imply:
% 261.09/66.73 | (37) all_4_53 = n3
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (32), (37) imply:
% 261.09/66.73 | (38) all_4_48 = n3
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (15), (29), (38) imply:
% 261.09/66.73 | (39) sum(n3, n3) = all_4_92
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (18), (35), (37) imply:
% 261.09/66.73 | (40) sum(n3, n3) = all_4_93
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (12) with n6, all_4_92, n3, n3, simplifying with
% 261.09/66.73 | (3), (39) gives:
% 261.09/66.73 | (41) all_4_92 = n6
% 261.09/66.73 |
% 261.09/66.73 | GROUND_INST: instantiating (12) with all_4_93, all_4_92, n3, n3, simplifying
% 261.09/66.73 | with (39), (40) gives:
% 261.09/66.73 | (42) all_4_92 = all_4_93
% 261.09/66.73 |
% 261.09/66.73 | COMBINE_EQS: (41), (42) imply:
% 261.09/66.73 | (43) all_4_93 = n6
% 261.09/66.73 |
% 261.09/66.73 | SIMP: (43) implies:
% 261.09/66.73 | (44) all_4_93 = n6
% 261.09/66.73 |
% 261.09/66.73 | REDUCE: (8), (41), (44) imply:
% 261.09/66.73 | (45) $false
% 261.09/66.73 |
% 261.09/66.73 | CLOSE: (45) is inconsistent.
% 261.09/66.73 |
% 261.09/66.73 End of proof
% 261.09/66.73
% 261.09/66.73 Sub-proof #117 shows that the following formulas are inconsistent:
% 261.09/66.73 ----------------------------------------------------------------
% 261.09/66.73 (1) succ(all_4_95) = all_4_51
% 261.09/66.73 (2) succ(n1) = n2
% 261.09/66.73 (3) succ(all_4_92) = all_4_46
% 261.09/66.73 (4) sum(n2, n2) = n4
% 261.09/66.73 (5) pred(all_4_95) = all_4_55
% 261.09/66.73 (6) sum(all_4_44, all_4_46) = all_4_40
% 261.09/66.73 (7) all_4_98 = n9
% 261.09/66.73 (8) succ(n9) = n10
% 261.09/66.73 (9) ~ (all_4_90 = all_4_91)
% 261.09/66.73 (10) sum(all_4_52, all_4_54) = all_4_48
% 261.09/66.73 (11) sum(all_4_60, all_4_62) = all_4_56
% 261.09/66.73 (12) sum(all_4_71, all_4_70) = all_4_69
% 261.09/66.73 (13) sum(all_4_55, all_4_54) = all_4_53
% 261.09/66.73 (14) sum(n2, n4) = n6
% 261.09/66.73 (15) sum(all_4_63, all_4_59) = all_4_57
% 261.09/66.73 (16) sum(all_4_63, all_4_62) = all_4_61
% 261.09/66.73 (17) succ(all_4_94) = all_4_54
% 261.09/66.73 (18) sum(n8, n8) = n5
% 261.09/66.73 (19) pred(all_4_99) = all_4_71
% 261.14/66.73 (20) sum(n8, n10) = n7
% 261.14/66.73 (21) sum(all_4_57, all_4_56) = all_4_94
% 261.14/66.73 (22) sum(n0, n2) = n2
% 261.14/66.73 (23) sum(n3, n5) = n8
% 261.14/66.73 (24) sum(all_4_47, all_4_43) = all_4_41
% 261.14/66.73 (25) pred(all_4_92) = all_4_44
% 261.14/66.73 (26) sum(all_4_65, all_4_64) = all_4_96
% 261.14/66.73 (27) pred(n4) = n3
% 261.14/66.73 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.14/66.73 | ~ (succ(v2) = v0))
% 261.14/66.73 (29) pred(all_4_97) = all_4_63
% 261.14/66.73 (30) succ(all_4_99) = all_4_67
% 261.14/66.73 (31) pred(n9) = n8
% 261.14/66.73 (32) succ(n3) = n4
% 261.14/66.73 (33) pred(all_4_96) = all_4_60
% 261.14/66.73 (34) succ(all_4_96) = all_4_62
% 261.14/66.73 (35) pred(n3) = n2
% 261.14/66.73 (36) sum(all_4_55, all_4_51) = all_4_49
% 261.14/66.73 (37) sum(all_4_47, all_4_46) = all_4_45
% 261.14/66.73 (38) pred(all_4_93) = all_4_47
% 261.14/66.73 (39) sum(all_4_71, all_4_67) = all_4_65
% 261.14/66.73 (40) sum(all_4_60, all_4_59) = all_4_58
% 261.14/66.73 (41) sum(all_4_41, all_4_40) = all_4_90
% 261.14/66.73 (42) sum(all_4_68, all_4_67) = all_4_66
% 261.14/66.73 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.14/66.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.14/66.73 (44) all_4_99 = n9
% 261.14/66.73 (45) sum(all_4_45, all_4_42) = all_4_91
% 261.14/66.73 (46) sum(n6, n6) = n1
% 261.14/66.73 (47) sum(all_4_44, all_4_43) = all_4_42
% 261.14/66.73 (48) sum(all_4_69, all_4_66) = all_4_97
% 261.14/66.73 (49) succ(n4) = n5
% 261.14/66.73 (50) succ(all_4_98) = all_4_70
% 261.14/66.73 (51) pred(n1) = n0
% 261.14/66.73 (52) sum(all_4_68, all_4_70) = all_4_64
% 261.14/66.73 (53) succ(all_4_97) = all_4_59
% 261.14/66.73 (54) sum(all_4_61, all_4_58) = all_4_95
% 261.14/66.73 (55) sum(n7, n7) = n3
% 261.14/66.73 (56) sum(all_4_49, all_4_48) = all_4_92
% 261.14/66.73 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.14/66.73 | ~ (pred(v2) = v0))
% 261.14/66.73 (58) sum(all_4_52, all_4_51) = all_4_50
% 261.14/66.73 (59) sum(all_4_53, all_4_50) = all_4_93
% 261.14/66.73 (60) succ(all_4_93) = all_4_43
% 261.14/66.73 (61) pred(all_4_98) = all_4_68
% 261.14/66.73 (62) pred(all_4_94) = all_4_52
% 261.14/66.73
% 261.14/66.73 Begin of proof
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (7), (61) imply:
% 261.14/66.73 | (63) pred(n9) = all_4_68
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (19), (44) imply:
% 261.14/66.73 | (64) pred(n9) = all_4_71
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (7), (50) imply:
% 261.14/66.73 | (65) succ(n9) = all_4_70
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (30), (44) imply:
% 261.14/66.73 | (66) succ(n9) = all_4_67
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with n10, all_4_67, n9, simplifying with (8),
% 261.14/66.73 | (66) gives:
% 261.14/66.73 | (67) all_4_67 = n10
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with all_4_70, all_4_67, n9, simplifying with
% 261.14/66.73 | (65), (66) gives:
% 261.14/66.73 | (68) all_4_67 = all_4_70
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with n8, all_4_68, n9, simplifying with (31),
% 261.14/66.73 | (63) gives:
% 261.14/66.73 | (69) all_4_68 = n8
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n9, simplifying with
% 261.14/66.73 | (63), (64) gives:
% 261.14/66.73 | (70) all_4_68 = all_4_71
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (67), (68) imply:
% 261.14/66.73 | (71) all_4_70 = n10
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (69), (70) imply:
% 261.14/66.73 | (72) all_4_71 = n8
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (42), (67), (69) imply:
% 261.14/66.73 | (73) sum(n8, n10) = all_4_66
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (52), (69), (71) imply:
% 261.14/66.73 | (74) sum(n8, n10) = all_4_64
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (39), (67), (72) imply:
% 261.14/66.73 | (75) sum(n8, n10) = all_4_65
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (12), (71), (72) imply:
% 261.14/66.73 | (76) sum(n8, n10) = all_4_69
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n7, all_4_65, n10, n8, simplifying with
% 261.14/66.73 | (20), (75) gives:
% 261.14/66.73 | (77) all_4_65 = n7
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_66, all_4_65, n10, n8, simplifying
% 261.14/66.73 | with (73), (75) gives:
% 261.14/66.73 | (78) all_4_65 = all_4_66
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_66, all_4_64, n10, n8, simplifying
% 261.14/66.73 | with (73), (74) gives:
% 261.14/66.73 | (79) all_4_64 = all_4_66
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_69, all_4_64, n10, n8, simplifying
% 261.14/66.73 | with (74), (76) gives:
% 261.14/66.73 | (80) all_4_64 = all_4_69
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (79), (80) imply:
% 261.14/66.73 | (81) all_4_66 = all_4_69
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (81) implies:
% 261.14/66.73 | (82) all_4_66 = all_4_69
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (77), (78) imply:
% 261.14/66.73 | (83) all_4_66 = n7
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (83) implies:
% 261.14/66.73 | (84) all_4_66 = n7
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (82), (84) imply:
% 261.14/66.73 | (85) all_4_69 = n7
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (80), (85) imply:
% 261.14/66.73 | (86) all_4_64 = n7
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (26), (77), (86) imply:
% 261.14/66.73 | (87) sum(n7, n7) = all_4_96
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (48), (84), (85) imply:
% 261.14/66.73 | (88) sum(n7, n7) = all_4_97
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n3, all_4_96, n7, n7, simplifying with
% 261.14/66.73 | (55), (87) gives:
% 261.14/66.73 | (89) all_4_96 = n3
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_97, all_4_96, n7, n7, simplifying
% 261.14/66.73 | with (87), (88) gives:
% 261.14/66.73 | (90) all_4_96 = all_4_97
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (89), (90) imply:
% 261.14/66.73 | (91) all_4_97 = n3
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (91) implies:
% 261.14/66.73 | (92) all_4_97 = n3
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (33), (89) imply:
% 261.14/66.73 | (93) pred(n3) = all_4_60
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (29), (92) imply:
% 261.14/66.73 | (94) pred(n3) = all_4_63
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (34), (89) imply:
% 261.14/66.73 | (95) succ(n3) = all_4_62
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (53), (92) imply:
% 261.14/66.73 | (96) succ(n3) = all_4_59
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with n4, all_4_59, n3, simplifying with (32),
% 261.14/66.73 | (96) gives:
% 261.14/66.73 | (97) all_4_59 = n4
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with all_4_62, all_4_59, n3, simplifying with
% 261.14/66.73 | (95), (96) gives:
% 261.14/66.73 | (98) all_4_59 = all_4_62
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with n2, all_4_60, n3, simplifying with (35),
% 261.14/66.73 | (93) gives:
% 261.14/66.73 | (99) all_4_60 = n2
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n3, simplifying with
% 261.14/66.73 | (93), (94) gives:
% 261.14/66.73 | (100) all_4_60 = all_4_63
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (97), (98) imply:
% 261.14/66.73 | (101) all_4_62 = n4
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (99), (100) imply:
% 261.14/66.73 | (102) all_4_63 = n2
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (40), (97), (99) imply:
% 261.14/66.73 | (103) sum(n2, n4) = all_4_58
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (11), (99), (101) imply:
% 261.14/66.73 | (104) sum(n2, n4) = all_4_56
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (15), (97), (102) imply:
% 261.14/66.73 | (105) sum(n2, n4) = all_4_57
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (16), (101), (102) imply:
% 261.14/66.73 | (106) sum(n2, n4) = all_4_61
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n6, all_4_57, n4, n2, simplifying with
% 261.14/66.73 | (14), (105) gives:
% 261.14/66.73 | (107) all_4_57 = n6
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_58, all_4_57, n4, n2, simplifying
% 261.14/66.73 | with (103), (105) gives:
% 261.14/66.73 | (108) all_4_57 = all_4_58
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_57, all_4_56, n4, n2, simplifying
% 261.14/66.73 | with (104), (105) gives:
% 261.14/66.73 | (109) all_4_56 = all_4_57
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_61, all_4_56, n4, n2, simplifying
% 261.14/66.73 | with (104), (106) gives:
% 261.14/66.73 | (110) all_4_56 = all_4_61
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (109), (110) imply:
% 261.14/66.73 | (111) all_4_57 = all_4_61
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (111) implies:
% 261.14/66.73 | (112) all_4_57 = all_4_61
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (107), (108) imply:
% 261.14/66.73 | (113) all_4_58 = n6
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (108), (112) imply:
% 261.14/66.73 | (114) all_4_58 = all_4_61
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (113), (114) imply:
% 261.14/66.73 | (115) all_4_61 = n6
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (110), (115) imply:
% 261.14/66.73 | (116) all_4_56 = n6
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (21), (107), (116) imply:
% 261.14/66.73 | (117) sum(n6, n6) = all_4_94
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (54), (113), (115) imply:
% 261.14/66.73 | (118) sum(n6, n6) = all_4_95
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n1, all_4_94, n6, n6, simplifying with
% 261.14/66.73 | (46), (117) gives:
% 261.14/66.73 | (119) all_4_94 = n1
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_95, all_4_94, n6, n6, simplifying
% 261.14/66.73 | with (117), (118) gives:
% 261.14/66.73 | (120) all_4_94 = all_4_95
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (119), (120) imply:
% 261.14/66.73 | (121) all_4_95 = n1
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (62), (119) imply:
% 261.14/66.73 | (122) pred(n1) = all_4_52
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (5), (121) imply:
% 261.14/66.73 | (123) pred(n1) = all_4_55
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (17), (119) imply:
% 261.14/66.73 | (124) succ(n1) = all_4_54
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (1), (121) imply:
% 261.14/66.73 | (125) succ(n1) = all_4_51
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with n2, all_4_51, n1, simplifying with (2),
% 261.14/66.73 | (125) gives:
% 261.14/66.73 | (126) all_4_51 = n2
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with all_4_54, all_4_51, n1, simplifying with
% 261.14/66.73 | (124), (125) gives:
% 261.14/66.73 | (127) all_4_51 = all_4_54
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with n0, all_4_52, n1, simplifying with (51),
% 261.14/66.73 | (122) gives:
% 261.14/66.73 | (128) all_4_52 = n0
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n1, simplifying with
% 261.14/66.73 | (122), (123) gives:
% 261.14/66.73 | (129) all_4_52 = all_4_55
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (126), (127) imply:
% 261.14/66.73 | (130) all_4_54 = n2
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (128), (129) imply:
% 261.14/66.73 | (131) all_4_55 = n0
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (131) implies:
% 261.14/66.73 | (132) all_4_55 = n0
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (58), (126), (128) imply:
% 261.14/66.73 | (133) sum(n0, n2) = all_4_50
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (10), (128), (130) imply:
% 261.14/66.73 | (134) sum(n0, n2) = all_4_48
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (36), (126), (132) imply:
% 261.14/66.73 | (135) sum(n0, n2) = all_4_49
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (13), (130), (132) imply:
% 261.14/66.73 | (136) sum(n0, n2) = all_4_53
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n2, all_4_49, n2, n0, simplifying with
% 261.14/66.73 | (22), (135) gives:
% 261.14/66.73 | (137) all_4_49 = n2
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_50, all_4_49, n2, n0, simplifying
% 261.14/66.73 | with (133), (135) gives:
% 261.14/66.73 | (138) all_4_49 = all_4_50
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_49, all_4_48, n2, n0, simplifying
% 261.14/66.73 | with (134), (135) gives:
% 261.14/66.73 | (139) all_4_48 = all_4_49
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_53, all_4_48, n2, n0, simplifying
% 261.14/66.73 | with (134), (136) gives:
% 261.14/66.73 | (140) all_4_48 = all_4_53
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (139), (140) imply:
% 261.14/66.73 | (141) all_4_49 = all_4_53
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (141) implies:
% 261.14/66.73 | (142) all_4_49 = all_4_53
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (137), (138) imply:
% 261.14/66.73 | (143) all_4_50 = n2
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (138), (142) imply:
% 261.14/66.73 | (144) all_4_50 = all_4_53
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (143), (144) imply:
% 261.14/66.73 | (145) all_4_53 = n2
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (140), (145) imply:
% 261.14/66.73 | (146) all_4_48 = n2
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (56), (137), (146) imply:
% 261.14/66.73 | (147) sum(n2, n2) = all_4_92
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (59), (143), (145) imply:
% 261.14/66.73 | (148) sum(n2, n2) = all_4_93
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n4, all_4_92, n2, n2, simplifying with
% 261.14/66.73 | (4), (147) gives:
% 261.14/66.73 | (149) all_4_92 = n4
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_93, all_4_92, n2, n2, simplifying
% 261.14/66.73 | with (147), (148) gives:
% 261.14/66.73 | (150) all_4_92 = all_4_93
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (149), (150) imply:
% 261.14/66.73 | (151) all_4_93 = n4
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (151) implies:
% 261.14/66.73 | (152) all_4_93 = n4
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (25), (149) imply:
% 261.14/66.73 | (153) pred(n4) = all_4_44
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (38), (152) imply:
% 261.14/66.73 | (154) pred(n4) = all_4_47
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (3), (149) imply:
% 261.14/66.73 | (155) succ(n4) = all_4_46
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (60), (152) imply:
% 261.14/66.73 | (156) succ(n4) = all_4_43
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with n5, all_4_43, n4, simplifying with (49),
% 261.14/66.73 | (156) gives:
% 261.14/66.73 | (157) all_4_43 = n5
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (28) with all_4_46, all_4_43, n4, simplifying with
% 261.14/66.73 | (155), (156) gives:
% 261.14/66.73 | (158) all_4_43 = all_4_46
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with n3, all_4_44, n4, simplifying with (27),
% 261.14/66.73 | (153) gives:
% 261.14/66.73 | (159) all_4_44 = n3
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (57) with all_4_47, all_4_44, n4, simplifying with
% 261.14/66.73 | (153), (154) gives:
% 261.14/66.73 | (160) all_4_44 = all_4_47
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (157), (158) imply:
% 261.14/66.73 | (161) all_4_46 = n5
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (159), (160) imply:
% 261.14/66.73 | (162) all_4_47 = n3
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (47), (157), (159) imply:
% 261.14/66.73 | (163) sum(n3, n5) = all_4_42
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (6), (159), (161) imply:
% 261.14/66.73 | (164) sum(n3, n5) = all_4_40
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (24), (157), (162) imply:
% 261.14/66.73 | (165) sum(n3, n5) = all_4_41
% 261.14/66.73 |
% 261.14/66.73 | REDUCE: (37), (161), (162) imply:
% 261.14/66.73 | (166) sum(n3, n5) = all_4_45
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with n8, all_4_41, n5, n3, simplifying with
% 261.14/66.73 | (23), (165) gives:
% 261.14/66.73 | (167) all_4_41 = n8
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_42, all_4_41, n5, n3, simplifying
% 261.14/66.73 | with (163), (165) gives:
% 261.14/66.73 | (168) all_4_41 = all_4_42
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_41, all_4_40, n5, n3, simplifying
% 261.14/66.73 | with (164), (165) gives:
% 261.14/66.73 | (169) all_4_40 = all_4_41
% 261.14/66.73 |
% 261.14/66.73 | GROUND_INST: instantiating (43) with all_4_45, all_4_40, n5, n3, simplifying
% 261.14/66.73 | with (164), (166) gives:
% 261.14/66.73 | (170) all_4_40 = all_4_45
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (169), (170) imply:
% 261.14/66.73 | (171) all_4_41 = all_4_45
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (171) implies:
% 261.14/66.73 | (172) all_4_41 = all_4_45
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (167), (168) imply:
% 261.14/66.73 | (173) all_4_42 = n8
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (168), (172) imply:
% 261.14/66.73 | (174) all_4_42 = all_4_45
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (173), (174) imply:
% 261.14/66.73 | (175) all_4_45 = n8
% 261.14/66.73 |
% 261.14/66.73 | SIMP: (175) implies:
% 261.14/66.73 | (176) all_4_45 = n8
% 261.14/66.73 |
% 261.14/66.73 | COMBINE_EQS: (170), (176) imply:
% 261.14/66.74 | (177) all_4_40 = n8
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (41), (167), (177) imply:
% 261.14/66.74 | (178) sum(n8, n8) = all_4_90
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (45), (173), (176) imply:
% 261.14/66.74 | (179) sum(n8, n8) = all_4_91
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (43) with n5, all_4_90, n8, n8, simplifying with
% 261.14/66.74 | (18), (178) gives:
% 261.14/66.74 | (180) all_4_90 = n5
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (43) with all_4_91, all_4_90, n8, n8, simplifying
% 261.14/66.74 | with (178), (179) gives:
% 261.14/66.74 | (181) all_4_90 = all_4_91
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (180), (181) imply:
% 261.14/66.74 | (182) all_4_91 = n5
% 261.14/66.74 |
% 261.14/66.74 | SIMP: (182) implies:
% 261.14/66.74 | (183) all_4_91 = n5
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (9), (180), (183) imply:
% 261.14/66.74 | (184) $false
% 261.14/66.74 |
% 261.14/66.74 | CLOSE: (184) is inconsistent.
% 261.14/66.74 |
% 261.14/66.74 End of proof
% 261.14/66.74
% 261.14/66.74 Sub-proof #118 shows that the following formulas are inconsistent:
% 261.14/66.74 ----------------------------------------------------------------
% 261.14/66.74 (1) succ(all_4_95) = all_4_51
% 261.14/66.74 (2) succ(all_4_92) = all_4_46
% 261.14/66.74 (3) all_4_99 = n0
% 261.14/66.74 (4) pred(all_4_95) = all_4_55
% 261.14/66.74 (5) sum(all_4_44, all_4_46) = all_4_40
% 261.14/66.74 (6) ~ (all_4_90 = all_4_91)
% 261.14/66.74 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.14/66.74 (8) sum(all_4_60, all_4_62) = all_4_56
% 261.14/66.74 (9) sum(all_4_71, all_4_70) = all_4_69
% 261.14/66.74 (10) sum(all_4_55, all_4_54) = all_4_53
% 261.14/66.74 (11) sum(all_4_63, all_4_59) = all_4_57
% 261.14/66.74 (12) sum(all_4_63, all_4_62) = all_4_61
% 261.14/66.74 (13) succ(all_4_94) = all_4_54
% 261.14/66.74 (14) sum(n10, n1) = n0
% 261.14/66.74 (15) pred(all_4_99) = all_4_71
% 261.14/66.74 (16) all_4_98 = n0
% 261.14/66.74 (17) succ(n0) = n1
% 261.14/66.74 (18) sum(all_4_57, all_4_56) = all_4_94
% 261.14/66.74 (19) sum(all_4_47, all_4_43) = all_4_41
% 261.14/66.74 (20) pred(all_4_92) = all_4_44
% 261.14/66.74 (21) sum(all_4_65, all_4_64) = all_4_96
% 261.14/66.74 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.14/66.74 | ~ (succ(v2) = v0))
% 261.14/66.74 (23) pred(all_4_97) = all_4_63
% 261.14/66.74 (24) succ(all_4_99) = all_4_67
% 261.14/66.74 (25) pred(all_4_96) = all_4_60
% 261.14/66.74 (26) succ(all_4_96) = all_4_62
% 261.14/66.74 (27) sum(all_4_55, all_4_51) = all_4_49
% 261.14/66.74 (28) sum(all_4_47, all_4_46) = all_4_45
% 261.14/66.74 (29) pred(all_4_93) = all_4_47
% 261.14/66.74 (30) sum(all_4_71, all_4_67) = all_4_65
% 261.14/66.74 (31) sum(all_4_60, all_4_59) = all_4_58
% 261.14/66.74 (32) sum(all_4_41, all_4_40) = all_4_90
% 261.14/66.74 (33) sum(all_4_68, all_4_67) = all_4_66
% 261.14/66.74 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.14/66.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.14/66.74 (35) sum(all_4_45, all_4_42) = all_4_91
% 261.14/66.74 (36) sum(all_4_44, all_4_43) = all_4_42
% 261.14/66.74 (37) sum(all_4_69, all_4_66) = all_4_97
% 261.14/66.74 (38) sum(n0, n0) = all_4_99
% 261.14/66.74 (39) succ(all_4_98) = all_4_70
% 261.14/66.74 (40) sum(all_4_68, all_4_70) = all_4_64
% 261.14/66.74 (41) succ(all_4_97) = all_4_59
% 261.14/66.74 (42) sum(all_4_61, all_4_58) = all_4_95
% 261.14/66.74 (43) sum(all_4_49, all_4_48) = all_4_92
% 261.14/66.74 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.14/66.74 | ~ (pred(v2) = v0))
% 261.14/66.74 (45) sum(all_4_52, all_4_51) = all_4_50
% 261.14/66.74 (46) sum(all_4_53, all_4_50) = all_4_93
% 261.14/66.74 (47) succ(all_4_93) = all_4_43
% 261.14/66.74 (48) pred(all_4_98) = all_4_68
% 261.14/66.74 (49) pred(n0) = n10
% 261.14/66.74 (50) pred(all_4_94) = all_4_52
% 261.14/66.74
% 261.14/66.74 Begin of proof
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (16), (48) imply:
% 261.14/66.74 | (51) pred(n0) = all_4_68
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (3), (15) imply:
% 261.14/66.74 | (52) pred(n0) = all_4_71
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (16), (39) imply:
% 261.14/66.74 | (53) succ(n0) = all_4_70
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (3), (24) imply:
% 261.14/66.74 | (54) succ(n0) = all_4_67
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (3), (38) imply:
% 261.14/66.74 | (55) sum(n0, n0) = n0
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (22) with n1, all_4_67, n0, simplifying with (17),
% 261.14/66.74 | (54) gives:
% 261.14/66.74 | (56) all_4_67 = n1
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (22) with all_4_70, all_4_67, n0, simplifying with
% 261.14/66.74 | (53), (54) gives:
% 261.14/66.74 | (57) all_4_67 = all_4_70
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (44) with n10, all_4_68, n0, simplifying with (49),
% 261.14/66.74 | (51) gives:
% 261.14/66.74 | (58) all_4_68 = n10
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (44) with all_4_71, all_4_68, n0, simplifying with
% 261.14/66.74 | (51), (52) gives:
% 261.14/66.74 | (59) all_4_68 = all_4_71
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (56), (57) imply:
% 261.14/66.74 | (60) all_4_70 = n1
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (58), (59) imply:
% 261.14/66.74 | (61) all_4_71 = n10
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (33), (56), (58) imply:
% 261.14/66.74 | (62) sum(n10, n1) = all_4_66
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (40), (58), (60) imply:
% 261.14/66.74 | (63) sum(n10, n1) = all_4_64
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (30), (56), (61) imply:
% 261.14/66.74 | (64) sum(n10, n1) = all_4_65
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (9), (60), (61) imply:
% 261.14/66.74 | (65) sum(n10, n1) = all_4_69
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with n0, all_4_65, n1, n10, simplifying with
% 261.14/66.74 | (14), (64) gives:
% 261.14/66.74 | (66) all_4_65 = n0
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_66, all_4_65, n1, n10, simplifying
% 261.14/66.74 | with (62), (64) gives:
% 261.14/66.74 | (67) all_4_65 = all_4_66
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_66, all_4_64, n1, n10, simplifying
% 261.14/66.74 | with (62), (63) gives:
% 261.14/66.74 | (68) all_4_64 = all_4_66
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_69, all_4_64, n1, n10, simplifying
% 261.14/66.74 | with (63), (65) gives:
% 261.14/66.74 | (69) all_4_64 = all_4_69
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (68), (69) imply:
% 261.14/66.74 | (70) all_4_66 = all_4_69
% 261.14/66.74 |
% 261.14/66.74 | SIMP: (70) implies:
% 261.14/66.74 | (71) all_4_66 = all_4_69
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (66), (67) imply:
% 261.14/66.74 | (72) all_4_66 = n0
% 261.14/66.74 |
% 261.14/66.74 | SIMP: (72) implies:
% 261.14/66.74 | (73) all_4_66 = n0
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (71), (73) imply:
% 261.14/66.74 | (74) all_4_69 = n0
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (69), (74) imply:
% 261.14/66.74 | (75) all_4_64 = n0
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (21), (66), (75) imply:
% 261.14/66.74 | (76) sum(n0, n0) = all_4_96
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (37), (73), (74) imply:
% 261.14/66.74 | (77) sum(n0, n0) = all_4_97
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with n0, all_4_96, n0, n0, simplifying with
% 261.14/66.74 | (55), (76) gives:
% 261.14/66.74 | (78) all_4_96 = n0
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_97, all_4_96, n0, n0, simplifying
% 261.14/66.74 | with (76), (77) gives:
% 261.14/66.74 | (79) all_4_96 = all_4_97
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (78), (79) imply:
% 261.14/66.74 | (80) all_4_97 = n0
% 261.14/66.74 |
% 261.14/66.74 | SIMP: (80) implies:
% 261.14/66.74 | (81) all_4_97 = n0
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (25), (78) imply:
% 261.14/66.74 | (82) pred(n0) = all_4_60
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (23), (81) imply:
% 261.14/66.74 | (83) pred(n0) = all_4_63
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (26), (78) imply:
% 261.14/66.74 | (84) succ(n0) = all_4_62
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (41), (81) imply:
% 261.14/66.74 | (85) succ(n0) = all_4_59
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (22) with n1, all_4_59, n0, simplifying with (17),
% 261.14/66.74 | (85) gives:
% 261.14/66.74 | (86) all_4_59 = n1
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (22) with all_4_62, all_4_59, n0, simplifying with
% 261.14/66.74 | (84), (85) gives:
% 261.14/66.74 | (87) all_4_59 = all_4_62
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (44) with n10, all_4_60, n0, simplifying with (49),
% 261.14/66.74 | (82) gives:
% 261.14/66.74 | (88) all_4_60 = n10
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (44) with all_4_63, all_4_60, n0, simplifying with
% 261.14/66.74 | (82), (83) gives:
% 261.14/66.74 | (89) all_4_60 = all_4_63
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (86), (87) imply:
% 261.14/66.74 | (90) all_4_62 = n1
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (88), (89) imply:
% 261.14/66.74 | (91) all_4_63 = n10
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (31), (86), (88) imply:
% 261.14/66.74 | (92) sum(n10, n1) = all_4_58
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (8), (88), (90) imply:
% 261.14/66.74 | (93) sum(n10, n1) = all_4_56
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (11), (86), (91) imply:
% 261.14/66.74 | (94) sum(n10, n1) = all_4_57
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (12), (90), (91) imply:
% 261.14/66.74 | (95) sum(n10, n1) = all_4_61
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with n0, all_4_57, n1, n10, simplifying with
% 261.14/66.74 | (14), (94) gives:
% 261.14/66.74 | (96) all_4_57 = n0
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_58, all_4_57, n1, n10, simplifying
% 261.14/66.74 | with (92), (94) gives:
% 261.14/66.74 | (97) all_4_57 = all_4_58
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_57, all_4_56, n1, n10, simplifying
% 261.14/66.74 | with (93), (94) gives:
% 261.14/66.74 | (98) all_4_56 = all_4_57
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_61, all_4_56, n1, n10, simplifying
% 261.14/66.74 | with (93), (95) gives:
% 261.14/66.74 | (99) all_4_56 = all_4_61
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (98), (99) imply:
% 261.14/66.74 | (100) all_4_57 = all_4_61
% 261.14/66.74 |
% 261.14/66.74 | SIMP: (100) implies:
% 261.14/66.74 | (101) all_4_57 = all_4_61
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (96), (97) imply:
% 261.14/66.74 | (102) all_4_58 = n0
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (97), (101) imply:
% 261.14/66.74 | (103) all_4_58 = all_4_61
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (102), (103) imply:
% 261.14/66.74 | (104) all_4_61 = n0
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (99), (104) imply:
% 261.14/66.74 | (105) all_4_56 = n0
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (18), (96), (105) imply:
% 261.14/66.74 | (106) sum(n0, n0) = all_4_94
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (42), (102), (104) imply:
% 261.14/66.74 | (107) sum(n0, n0) = all_4_95
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with n0, all_4_94, n0, n0, simplifying with
% 261.14/66.74 | (55), (106) gives:
% 261.14/66.74 | (108) all_4_94 = n0
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with all_4_95, all_4_94, n0, n0, simplifying
% 261.14/66.74 | with (106), (107) gives:
% 261.14/66.74 | (109) all_4_94 = all_4_95
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (108), (109) imply:
% 261.14/66.74 | (110) all_4_95 = n0
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (50), (108) imply:
% 261.14/66.74 | (111) pred(n0) = all_4_52
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (4), (110) imply:
% 261.14/66.74 | (112) pred(n0) = all_4_55
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (13), (108) imply:
% 261.14/66.74 | (113) succ(n0) = all_4_54
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (1), (110) imply:
% 261.14/66.74 | (114) succ(n0) = all_4_51
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (22) with n1, all_4_51, n0, simplifying with (17),
% 261.14/66.74 | (114) gives:
% 261.14/66.74 | (115) all_4_51 = n1
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (22) with all_4_54, all_4_51, n0, simplifying with
% 261.14/66.74 | (113), (114) gives:
% 261.14/66.74 | (116) all_4_51 = all_4_54
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (44) with n10, all_4_52, n0, simplifying with (49),
% 261.14/66.74 | (111) gives:
% 261.14/66.74 | (117) all_4_52 = n10
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (44) with all_4_55, all_4_52, n0, simplifying with
% 261.14/66.74 | (111), (112) gives:
% 261.14/66.74 | (118) all_4_52 = all_4_55
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (115), (116) imply:
% 261.14/66.74 | (119) all_4_54 = n1
% 261.14/66.74 |
% 261.14/66.74 | COMBINE_EQS: (117), (118) imply:
% 261.14/66.74 | (120) all_4_55 = n10
% 261.14/66.74 |
% 261.14/66.74 | SIMP: (120) implies:
% 261.14/66.74 | (121) all_4_55 = n10
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (45), (115), (117) imply:
% 261.14/66.74 | (122) sum(n10, n1) = all_4_50
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (7), (117), (119) imply:
% 261.14/66.74 | (123) sum(n10, n1) = all_4_48
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (27), (115), (121) imply:
% 261.14/66.74 | (124) sum(n10, n1) = all_4_49
% 261.14/66.74 |
% 261.14/66.74 | REDUCE: (10), (119), (121) imply:
% 261.14/66.74 | (125) sum(n10, n1) = all_4_53
% 261.14/66.74 |
% 261.14/66.74 | GROUND_INST: instantiating (34) with n0, all_4_49, n1, n10, simplifying with
% 261.14/66.74 | (14), (124) gives:
% 261.15/66.74 | (126) all_4_49 = n0
% 261.15/66.74 |
% 261.15/66.74 | GROUND_INST: instantiating (34) with all_4_50, all_4_49, n1, n10, simplifying
% 261.15/66.74 | with (122), (124) gives:
% 261.15/66.74 | (127) all_4_49 = all_4_50
% 261.15/66.74 |
% 261.15/66.74 | GROUND_INST: instantiating (34) with all_4_49, all_4_48, n1, n10, simplifying
% 261.15/66.74 | with (123), (124) gives:
% 261.15/66.74 | (128) all_4_48 = all_4_49
% 261.15/66.74 |
% 261.15/66.74 | GROUND_INST: instantiating (34) with all_4_53, all_4_48, n1, n10, simplifying
% 261.15/66.74 | with (123), (125) gives:
% 261.15/66.74 | (129) all_4_48 = all_4_53
% 261.15/66.74 |
% 261.15/66.74 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.74 | (130) all_4_49 = all_4_53
% 261.15/66.74 |
% 261.15/66.74 | SIMP: (130) implies:
% 261.15/66.74 | (131) all_4_49 = all_4_53
% 261.15/66.74 |
% 261.15/66.74 | COMBINE_EQS: (126), (127) imply:
% 261.15/66.74 | (132) all_4_50 = n0
% 261.15/66.74 |
% 261.15/66.74 | COMBINE_EQS: (127), (131) imply:
% 261.15/66.74 | (133) all_4_50 = all_4_53
% 261.15/66.74 |
% 261.15/66.74 | COMBINE_EQS: (132), (133) imply:
% 261.15/66.74 | (134) all_4_53 = n0
% 261.15/66.74 |
% 261.15/66.74 | COMBINE_EQS: (129), (134) imply:
% 261.15/66.74 | (135) all_4_48 = n0
% 261.15/66.74 |
% 261.15/66.74 | REDUCE: (43), (126), (135) imply:
% 261.15/66.74 | (136) sum(n0, n0) = all_4_92
% 261.15/66.74 |
% 261.15/66.74 | REDUCE: (46), (132), (134) imply:
% 261.15/66.74 | (137) sum(n0, n0) = all_4_93
% 261.15/66.74 |
% 261.15/66.74 | GROUND_INST: instantiating (34) with n0, all_4_92, n0, n0, simplifying with
% 261.15/66.74 | (55), (136) gives:
% 261.15/66.74 | (138) all_4_92 = n0
% 261.15/66.74 |
% 261.15/66.74 | GROUND_INST: instantiating (34) with all_4_93, all_4_92, n0, n0, simplifying
% 261.15/66.74 | with (136), (137) gives:
% 261.15/66.74 | (139) all_4_92 = all_4_93
% 261.15/66.74 |
% 261.15/66.74 | COMBINE_EQS: (138), (139) imply:
% 261.15/66.74 | (140) all_4_93 = n0
% 261.15/66.74 |
% 261.15/66.74 | SIMP: (140) implies:
% 261.15/66.74 | (141) all_4_93 = n0
% 261.15/66.74 |
% 261.15/66.74 | REDUCE: (20), (138) imply:
% 261.15/66.74 | (142) pred(n0) = all_4_44
% 261.15/66.74 |
% 261.15/66.74 | REDUCE: (29), (141) imply:
% 261.15/66.74 | (143) pred(n0) = all_4_47
% 261.15/66.74 |
% 261.15/66.74 | REDUCE: (2), (138) imply:
% 261.15/66.74 | (144) succ(n0) = all_4_46
% 261.15/66.74 |
% 261.15/66.74 | REDUCE: (47), (141) imply:
% 261.15/66.74 | (145) succ(n0) = all_4_43
% 261.15/66.74 |
% 261.15/66.74 | GROUND_INST: instantiating (22) with n1, all_4_43, n0, simplifying with (17),
% 261.15/66.74 | (145) gives:
% 261.15/66.74 | (146) all_4_43 = n1
% 261.15/66.74 |
% 261.15/66.74 | REF_CLOSE: (5), (6), (14), (19), (22), (28), (32), (34), (35), (36), (44),
% 261.15/66.74 | (49), (55), (142), (143), (144), (145), (146) are inconsistent by
% 261.15/66.74 | sub-proof #119.
% 261.15/66.74 |
% 261.15/66.74 End of proof
% 261.15/66.74
% 261.15/66.74 Sub-proof #119 shows that the following formulas are inconsistent:
% 261.15/66.74 ----------------------------------------------------------------
% 261.15/66.74 (1) all_4_43 = n1
% 261.15/66.74 (2) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.74 (3) ~ (all_4_90 = all_4_91)
% 261.15/66.74 (4) pred(n0) = all_4_47
% 261.15/66.74 (5) sum(n10, n1) = n0
% 261.15/66.74 (6) pred(n0) = all_4_44
% 261.15/66.74 (7) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.75 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.15/66.75 ~ (succ(v2) = v0))
% 261.15/66.75 (9) succ(n0) = all_4_43
% 261.15/66.75 (10) sum(n0, n0) = n0
% 261.15/66.75 (11) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.75 (12) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.75 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.75 (14) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.75 (15) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.75 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.75 | ~ (pred(v2) = v0))
% 261.15/66.75 (17) pred(n0) = n10
% 261.15/66.75 (18) succ(n0) = all_4_46
% 261.15/66.75
% 261.15/66.75 Begin of proof
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (8) with all_4_46, all_4_43, n0, simplifying with
% 261.15/66.75 | (9), (18) gives:
% 261.15/66.75 | (19) all_4_43 = all_4_46
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (16) with n10, all_4_44, n0, simplifying with (6),
% 261.15/66.75 | (17) gives:
% 261.15/66.75 | (20) all_4_44 = n10
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (16) with all_4_47, all_4_44, n0, simplifying with
% 261.15/66.75 | (4), (6) gives:
% 261.15/66.75 | (21) all_4_44 = all_4_47
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (1), (19) imply:
% 261.15/66.75 | (22) all_4_46 = n1
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (20), (21) imply:
% 261.15/66.75 | (23) all_4_47 = n10
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (1), (15), (20) imply:
% 261.15/66.75 | (24) sum(n10, n1) = all_4_42
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (2), (20), (22) imply:
% 261.15/66.75 | (25) sum(n10, n1) = all_4_40
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (1), (7), (23) imply:
% 261.15/66.75 | (26) sum(n10, n1) = all_4_41
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (11), (22), (23) imply:
% 261.15/66.75 | (27) sum(n10, n1) = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (13) with n0, all_4_41, n1, n10, simplifying with
% 261.15/66.75 | (5), (26) gives:
% 261.15/66.75 | (28) all_4_41 = n0
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (13) with all_4_42, all_4_41, n1, n10, simplifying
% 261.15/66.75 | with (24), (26) gives:
% 261.15/66.75 | (29) all_4_41 = all_4_42
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (13) with all_4_41, all_4_40, n1, n10, simplifying
% 261.15/66.75 | with (25), (26) gives:
% 261.15/66.75 | (30) all_4_40 = all_4_41
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (13) with all_4_45, all_4_40, n1, n10, simplifying
% 261.15/66.75 | with (25), (27) gives:
% 261.15/66.75 | (31) all_4_40 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (30), (31) imply:
% 261.15/66.75 | (32) all_4_41 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (32) implies:
% 261.15/66.75 | (33) all_4_41 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (28), (29) imply:
% 261.15/66.75 | (34) all_4_42 = n0
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (29), (33) imply:
% 261.15/66.75 | (35) all_4_42 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (34), (35) imply:
% 261.15/66.75 | (36) all_4_45 = n0
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (36) implies:
% 261.15/66.75 | (37) all_4_45 = n0
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (31), (37) imply:
% 261.15/66.75 | (38) all_4_40 = n0
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (12), (28), (38) imply:
% 261.15/66.75 | (39) sum(n0, n0) = all_4_90
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (14), (34), (37) imply:
% 261.15/66.75 | (40) sum(n0, n0) = all_4_91
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (13) with n0, all_4_90, n0, n0, simplifying with
% 261.15/66.75 | (10), (39) gives:
% 261.15/66.75 | (41) all_4_90 = n0
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (13) with all_4_91, all_4_90, n0, n0, simplifying
% 261.15/66.75 | with (39), (40) gives:
% 261.15/66.75 | (42) all_4_90 = all_4_91
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (41), (42) imply:
% 261.15/66.75 | (43) all_4_91 = n0
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (43) implies:
% 261.15/66.75 | (44) all_4_91 = n0
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (3), (41), (44) imply:
% 261.15/66.75 | (45) $false
% 261.15/66.75 |
% 261.15/66.75 | CLOSE: (45) is inconsistent.
% 261.15/66.75 |
% 261.15/66.75 End of proof
% 261.15/66.75
% 261.15/66.75 Sub-proof #120 shows that the following formulas are inconsistent:
% 261.15/66.75 ----------------------------------------------------------------
% 261.15/66.75 (1) succ(all_4_95) = all_4_51
% 261.15/66.75 (2) succ(all_4_92) = all_4_46
% 261.15/66.75 (3) pred(all_4_95) = all_4_55
% 261.15/66.75 (4) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.75 (5) sum(n9, n0) = n9
% 261.15/66.75 (6) ~ (all_4_90 = all_4_91)
% 261.15/66.75 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.75 (8) sum(n3, n3) = n6
% 261.15/66.75 (9) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.75 (10) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.75 (11) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.75 (12) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.75 (13) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.75 (14) succ(all_4_94) = all_4_54
% 261.15/66.75 (15) pred(n8) = n7
% 261.15/66.75 (16) pred(all_4_99) = all_4_71
% 261.15/66.75 (17) sum(n6, n8) = n3
% 261.15/66.75 (18) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.75 (19) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.75 (20) pred(all_4_92) = all_4_44
% 261.15/66.75 (21) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.75 (22) succ(n10) = n0
% 261.15/66.75 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.75 | ~ (succ(v2) = v0))
% 261.15/66.75 (24) pred(all_4_97) = all_4_63
% 261.15/66.75 (25) succ(all_4_99) = all_4_67
% 261.15/66.75 (26) pred(all_4_96) = all_4_60
% 261.15/66.75 (27) succ(all_4_96) = all_4_62
% 261.15/66.75 (28) all_4_98 = n2
% 261.15/66.75 (29) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.75 (30) pred(n7) = n6
% 261.15/66.75 (31) succ(n7) = n8
% 261.15/66.75 (32) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.75 (33) pred(all_4_93) = all_4_47
% 261.15/66.75 (34) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.75 (35) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.75 (36) sum(n5, n5) = n10
% 261.15/66.75 (37) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.75 (38) succ(n2) = n3
% 261.15/66.75 (39) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.75 (40) succ(n8) = n9
% 261.15/66.75 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.75 (42) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.75 (43) sum(n9, n9) = n7
% 261.15/66.75 (44) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.75 (45) pred(n10) = n9
% 261.15/66.75 (46) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.75 (47) sum(n7, n9) = n5
% 261.15/66.75 (48) all_4_99 = n2
% 261.15/66.75 (49) pred(n2) = n1
% 261.15/66.75 (50) succ(all_4_98) = all_4_70
% 261.15/66.75 (51) sum(n4, n4) = n8
% 261.15/66.75 (52) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.75 (53) succ(all_4_97) = all_4_59
% 261.15/66.75 (54) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.75 (55) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.75 (56) sum(n1, n3) = n4
% 261.15/66.75 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.75 | ~ (pred(v2) = v0))
% 261.15/66.75 (58) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.75 (59) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.75 (60) succ(all_4_93) = all_4_43
% 261.15/66.75 (61) pred(all_4_98) = all_4_68
% 261.15/66.75 (62) pred(all_4_94) = all_4_52
% 261.15/66.75
% 261.15/66.75 Begin of proof
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (28), (61) imply:
% 261.15/66.75 | (63) pred(n2) = all_4_68
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (16), (48) imply:
% 261.15/66.75 | (64) pred(n2) = all_4_71
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (28), (50) imply:
% 261.15/66.75 | (65) succ(n2) = all_4_70
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (25), (48) imply:
% 261.15/66.75 | (66) succ(n2) = all_4_67
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with n3, all_4_67, n2, simplifying with (38),
% 261.15/66.75 | (66) gives:
% 261.15/66.75 | (67) all_4_67 = n3
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n2, simplifying with
% 261.15/66.75 | (65), (66) gives:
% 261.15/66.75 | (68) all_4_67 = all_4_70
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (57) with n1, all_4_68, n2, simplifying with (49),
% 261.15/66.75 | (63) gives:
% 261.15/66.75 | (69) all_4_68 = n1
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n2, simplifying with
% 261.15/66.75 | (63), (64) gives:
% 261.15/66.75 | (70) all_4_68 = all_4_71
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (67), (68) imply:
% 261.15/66.75 | (71) all_4_70 = n3
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (69), (70) imply:
% 261.15/66.75 | (72) all_4_71 = n1
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (39), (67), (69) imply:
% 261.15/66.75 | (73) sum(n1, n3) = all_4_66
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (52), (69), (71) imply:
% 261.15/66.75 | (74) sum(n1, n3) = all_4_64
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (34), (67), (72) imply:
% 261.15/66.75 | (75) sum(n1, n3) = all_4_65
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (10), (71), (72) imply:
% 261.15/66.75 | (76) sum(n1, n3) = all_4_69
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with n4, all_4_65, n3, n1, simplifying with
% 261.15/66.75 | (56), (75) gives:
% 261.15/66.75 | (77) all_4_65 = n4
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_66, all_4_65, n3, n1, simplifying
% 261.15/66.75 | with (73), (75) gives:
% 261.15/66.75 | (78) all_4_65 = all_4_66
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_66, all_4_64, n3, n1, simplifying
% 261.15/66.75 | with (73), (74) gives:
% 261.15/66.75 | (79) all_4_64 = all_4_66
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_69, all_4_64, n3, n1, simplifying
% 261.15/66.75 | with (74), (76) gives:
% 261.15/66.75 | (80) all_4_64 = all_4_69
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (79), (80) imply:
% 261.15/66.75 | (81) all_4_66 = all_4_69
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (81) implies:
% 261.15/66.75 | (82) all_4_66 = all_4_69
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (77), (78) imply:
% 261.15/66.75 | (83) all_4_66 = n4
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (83) implies:
% 261.15/66.75 | (84) all_4_66 = n4
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (82), (84) imply:
% 261.15/66.75 | (85) all_4_69 = n4
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (80), (85) imply:
% 261.15/66.75 | (86) all_4_64 = n4
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (21), (77), (86) imply:
% 261.15/66.75 | (87) sum(n4, n4) = all_4_96
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (46), (84), (85) imply:
% 261.15/66.75 | (88) sum(n4, n4) = all_4_97
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with n8, all_4_96, n4, n4, simplifying with
% 261.15/66.75 | (51), (87) gives:
% 261.15/66.75 | (89) all_4_96 = n8
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_97, all_4_96, n4, n4, simplifying
% 261.15/66.75 | with (87), (88) gives:
% 261.15/66.75 | (90) all_4_96 = all_4_97
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (89), (90) imply:
% 261.15/66.75 | (91) all_4_97 = n8
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (91) implies:
% 261.15/66.75 | (92) all_4_97 = n8
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (26), (89) imply:
% 261.15/66.75 | (93) pred(n8) = all_4_60
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (24), (92) imply:
% 261.15/66.75 | (94) pred(n8) = all_4_63
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (27), (89) imply:
% 261.15/66.75 | (95) succ(n8) = all_4_62
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (53), (92) imply:
% 261.15/66.75 | (96) succ(n8) = all_4_59
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with n9, all_4_59, n8, simplifying with (40),
% 261.15/66.75 | (96) gives:
% 261.15/66.75 | (97) all_4_59 = n9
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n8, simplifying with
% 261.15/66.75 | (95), (96) gives:
% 261.15/66.75 | (98) all_4_59 = all_4_62
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (57) with n7, all_4_60, n8, simplifying with (15),
% 261.15/66.75 | (93) gives:
% 261.15/66.75 | (99) all_4_60 = n7
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n8, simplifying with
% 261.15/66.75 | (93), (94) gives:
% 261.15/66.75 | (100) all_4_60 = all_4_63
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (97), (98) imply:
% 261.15/66.75 | (101) all_4_62 = n9
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (99), (100) imply:
% 261.15/66.75 | (102) all_4_63 = n7
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (35), (97), (99) imply:
% 261.15/66.75 | (103) sum(n7, n9) = all_4_58
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (9), (99), (101) imply:
% 261.15/66.75 | (104) sum(n7, n9) = all_4_56
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (12), (97), (102) imply:
% 261.15/66.75 | (105) sum(n7, n9) = all_4_57
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (13), (101), (102) imply:
% 261.15/66.75 | (106) sum(n7, n9) = all_4_61
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with n5, all_4_57, n9, n7, simplifying with
% 261.15/66.75 | (47), (105) gives:
% 261.15/66.75 | (107) all_4_57 = n5
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_58, all_4_57, n9, n7, simplifying
% 261.15/66.75 | with (103), (105) gives:
% 261.15/66.75 | (108) all_4_57 = all_4_58
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_57, all_4_56, n9, n7, simplifying
% 261.15/66.75 | with (104), (105) gives:
% 261.15/66.75 | (109) all_4_56 = all_4_57
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_61, all_4_56, n9, n7, simplifying
% 261.15/66.75 | with (104), (106) gives:
% 261.15/66.75 | (110) all_4_56 = all_4_61
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (109), (110) imply:
% 261.15/66.75 | (111) all_4_57 = all_4_61
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (111) implies:
% 261.15/66.75 | (112) all_4_57 = all_4_61
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (107), (108) imply:
% 261.15/66.75 | (113) all_4_58 = n5
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (108), (112) imply:
% 261.15/66.75 | (114) all_4_58 = all_4_61
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (113), (114) imply:
% 261.15/66.75 | (115) all_4_61 = n5
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (110), (115) imply:
% 261.15/66.75 | (116) all_4_56 = n5
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (18), (107), (116) imply:
% 261.15/66.75 | (117) sum(n5, n5) = all_4_94
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (54), (113), (115) imply:
% 261.15/66.75 | (118) sum(n5, n5) = all_4_95
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with n10, all_4_94, n5, n5, simplifying with
% 261.15/66.75 | (36), (117) gives:
% 261.15/66.75 | (119) all_4_94 = n10
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_95, all_4_94, n5, n5, simplifying
% 261.15/66.75 | with (117), (118) gives:
% 261.15/66.75 | (120) all_4_94 = all_4_95
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (119), (120) imply:
% 261.15/66.75 | (121) all_4_95 = n10
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (62), (119) imply:
% 261.15/66.75 | (122) pred(n10) = all_4_52
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (3), (121) imply:
% 261.15/66.75 | (123) pred(n10) = all_4_55
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (14), (119) imply:
% 261.15/66.75 | (124) succ(n10) = all_4_54
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (1), (121) imply:
% 261.15/66.75 | (125) succ(n10) = all_4_51
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with n0, all_4_51, n10, simplifying with (22),
% 261.15/66.75 | (125) gives:
% 261.15/66.75 | (126) all_4_51 = n0
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with all_4_54, all_4_51, n10, simplifying with
% 261.15/66.75 | (124), (125) gives:
% 261.15/66.75 | (127) all_4_51 = all_4_54
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (57) with n9, all_4_52, n10, simplifying with (45),
% 261.15/66.75 | (122) gives:
% 261.15/66.75 | (128) all_4_52 = n9
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n10, simplifying with
% 261.15/66.75 | (122), (123) gives:
% 261.15/66.75 | (129) all_4_52 = all_4_55
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (126), (127) imply:
% 261.15/66.75 | (130) all_4_54 = n0
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.75 | (131) all_4_55 = n9
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (131) implies:
% 261.15/66.75 | (132) all_4_55 = n9
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (58), (126), (128) imply:
% 261.15/66.75 | (133) sum(n9, n0) = all_4_50
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (7), (128), (130) imply:
% 261.15/66.75 | (134) sum(n9, n0) = all_4_48
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (29), (126), (132) imply:
% 261.15/66.75 | (135) sum(n9, n0) = all_4_49
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (11), (130), (132) imply:
% 261.15/66.75 | (136) sum(n9, n0) = all_4_53
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with n9, all_4_49, n0, n9, simplifying with
% 261.15/66.75 | (5), (135) gives:
% 261.15/66.75 | (137) all_4_49 = n9
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_50, all_4_49, n0, n9, simplifying
% 261.15/66.75 | with (133), (135) gives:
% 261.15/66.75 | (138) all_4_49 = all_4_50
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_49, all_4_48, n0, n9, simplifying
% 261.15/66.75 | with (134), (135) gives:
% 261.15/66.75 | (139) all_4_48 = all_4_49
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_53, all_4_48, n0, n9, simplifying
% 261.15/66.75 | with (134), (136) gives:
% 261.15/66.75 | (140) all_4_48 = all_4_53
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (139), (140) imply:
% 261.15/66.75 | (141) all_4_49 = all_4_53
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (141) implies:
% 261.15/66.75 | (142) all_4_49 = all_4_53
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (137), (138) imply:
% 261.15/66.75 | (143) all_4_50 = n9
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (138), (142) imply:
% 261.15/66.75 | (144) all_4_50 = all_4_53
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.75 | (145) all_4_53 = n9
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (140), (145) imply:
% 261.15/66.75 | (146) all_4_48 = n9
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (55), (137), (146) imply:
% 261.15/66.75 | (147) sum(n9, n9) = all_4_92
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (59), (143), (145) imply:
% 261.15/66.75 | (148) sum(n9, n9) = all_4_93
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with n7, all_4_92, n9, n9, simplifying with
% 261.15/66.75 | (43), (147) gives:
% 261.15/66.75 | (149) all_4_92 = n7
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (41) with all_4_93, all_4_92, n9, n9, simplifying
% 261.15/66.75 | with (147), (148) gives:
% 261.15/66.75 | (150) all_4_92 = all_4_93
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (149), (150) imply:
% 261.15/66.75 | (151) all_4_93 = n7
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (151) implies:
% 261.15/66.75 | (152) all_4_93 = n7
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (20), (149) imply:
% 261.15/66.75 | (153) pred(n7) = all_4_44
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (33), (152) imply:
% 261.15/66.75 | (154) pred(n7) = all_4_47
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (2), (149) imply:
% 261.15/66.75 | (155) succ(n7) = all_4_46
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (60), (152) imply:
% 261.15/66.75 | (156) succ(n7) = all_4_43
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (23) with n8, all_4_43, n7, simplifying with (31),
% 261.15/66.75 | (156) gives:
% 261.15/66.75 | (157) all_4_43 = n8
% 261.15/66.75 |
% 261.15/66.75 | REF_CLOSE: (4), (6), (8), (17), (19), (23), (30), (32), (37), (41), (42),
% 261.15/66.75 | (44), (57), (153), (154), (155), (156), (157) are inconsistent by
% 261.15/66.75 | sub-proof #121.
% 261.15/66.75 |
% 261.15/66.75 End of proof
% 261.15/66.75
% 261.15/66.75 Sub-proof #121 shows that the following formulas are inconsistent:
% 261.15/66.75 ----------------------------------------------------------------
% 261.15/66.75 (1) pred(n7) = all_4_47
% 261.15/66.75 (2) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.75 (3) succ(n7) = all_4_46
% 261.15/66.75 (4) ~ (all_4_90 = all_4_91)
% 261.15/66.75 (5) sum(n3, n3) = n6
% 261.15/66.75 (6) succ(n7) = all_4_43
% 261.15/66.75 (7) sum(n6, n8) = n3
% 261.15/66.75 (8) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.15/66.75 ~ (succ(v2) = v0))
% 261.15/66.75 (10) pred(n7) = n6
% 261.15/66.75 (11) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.75 (12) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.75 (13) all_4_43 = n8
% 261.15/66.75 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.75 (15) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.75 (16) pred(n7) = all_4_44
% 261.15/66.75 (17) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.75 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.75 | ~ (pred(v2) = v0))
% 261.15/66.75
% 261.15/66.75 Begin of proof
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (9) with all_4_46, all_4_43, n7, simplifying with
% 261.15/66.75 | (3), (6) gives:
% 261.15/66.75 | (19) all_4_43 = all_4_46
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (18) with n6, all_4_44, n7, simplifying with (10),
% 261.15/66.75 | (16) gives:
% 261.15/66.75 | (20) all_4_44 = n6
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (18) with all_4_47, all_4_44, n7, simplifying with
% 261.15/66.75 | (1), (16) gives:
% 261.15/66.75 | (21) all_4_44 = all_4_47
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (13), (19) imply:
% 261.15/66.75 | (22) all_4_46 = n8
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (20), (21) imply:
% 261.15/66.75 | (23) all_4_47 = n6
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (13), (17), (20) imply:
% 261.15/66.75 | (24) sum(n6, n8) = all_4_42
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (2), (20), (22) imply:
% 261.15/66.75 | (25) sum(n6, n8) = all_4_40
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (8), (13), (23) imply:
% 261.15/66.75 | (26) sum(n6, n8) = all_4_41
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (11), (22), (23) imply:
% 261.15/66.75 | (27) sum(n6, n8) = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (14) with n3, all_4_41, n8, n6, simplifying with
% 261.15/66.75 | (7), (26) gives:
% 261.15/66.75 | (28) all_4_41 = n3
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (14) with all_4_42, all_4_41, n8, n6, simplifying
% 261.15/66.75 | with (24), (26) gives:
% 261.15/66.75 | (29) all_4_41 = all_4_42
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (14) with all_4_41, all_4_40, n8, n6, simplifying
% 261.15/66.75 | with (25), (26) gives:
% 261.15/66.75 | (30) all_4_40 = all_4_41
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (14) with all_4_45, all_4_40, n8, n6, simplifying
% 261.15/66.75 | with (25), (27) gives:
% 261.15/66.75 | (31) all_4_40 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (30), (31) imply:
% 261.15/66.75 | (32) all_4_41 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (32) implies:
% 261.15/66.75 | (33) all_4_41 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (28), (29) imply:
% 261.15/66.75 | (34) all_4_42 = n3
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (29), (33) imply:
% 261.15/66.75 | (35) all_4_42 = all_4_45
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (34), (35) imply:
% 261.15/66.75 | (36) all_4_45 = n3
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (36) implies:
% 261.15/66.75 | (37) all_4_45 = n3
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (31), (37) imply:
% 261.15/66.75 | (38) all_4_40 = n3
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (12), (28), (38) imply:
% 261.15/66.75 | (39) sum(n3, n3) = all_4_90
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (15), (34), (37) imply:
% 261.15/66.75 | (40) sum(n3, n3) = all_4_91
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (14) with n6, all_4_90, n3, n3, simplifying with
% 261.15/66.75 | (5), (39) gives:
% 261.15/66.75 | (41) all_4_90 = n6
% 261.15/66.75 |
% 261.15/66.75 | GROUND_INST: instantiating (14) with all_4_91, all_4_90, n3, n3, simplifying
% 261.15/66.75 | with (39), (40) gives:
% 261.15/66.75 | (42) all_4_90 = all_4_91
% 261.15/66.75 |
% 261.15/66.75 | COMBINE_EQS: (41), (42) imply:
% 261.15/66.75 | (43) all_4_91 = n6
% 261.15/66.75 |
% 261.15/66.75 | SIMP: (43) implies:
% 261.15/66.75 | (44) all_4_91 = n6
% 261.15/66.75 |
% 261.15/66.75 | REDUCE: (4), (41), (44) imply:
% 261.15/66.75 | (45) $false
% 261.15/66.75 |
% 261.15/66.75 | CLOSE: (45) is inconsistent.
% 261.15/66.75 |
% 261.15/66.75 End of proof
% 261.15/66.75
% 261.15/66.75 Sub-proof #122 shows that the following formulas are inconsistent:
% 261.15/66.75 ----------------------------------------------------------------
% 261.15/66.75 (1) succ(all_4_95) = all_4_51
% 261.15/66.75 (2) sum(n4, n6) = n10
% 261.15/66.75 (3) succ(all_4_92) = all_4_46
% 261.15/66.75 (4) pred(all_4_95) = all_4_55
% 261.15/66.75 (5) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.75 (6) succ(n9) = n10
% 261.15/66.75 (7) ~ (all_4_90 = all_4_91)
% 261.15/66.75 (8) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.75 (9) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.75 (10) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.75 (11) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.75 (12) sum(n2, n4) = n6
% 261.15/66.75 (13) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.75 (14) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.75 (15) succ(all_4_94) = all_4_54
% 261.15/66.75 (16) sum(n8, n8) = n5
% 261.15/66.75 (17) pred(all_4_99) = all_4_71
% 261.15/66.75 (18) sum(n8, n10) = n7
% 261.15/66.75 (19) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.75 (20) sum(n3, n5) = n8
% 261.15/66.75 (21) sum(n10, n10) = n9
% 261.15/66.75 (22) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.75 (23) pred(n5) = n4
% 261.15/66.75 (24) pred(all_4_92) = all_4_44
% 261.15/66.75 (25) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.75 (26) pred(n4) = n3
% 261.15/66.75 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.75 | ~ (succ(v2) = v0))
% 261.15/66.75 (28) pred(all_4_97) = all_4_63
% 261.15/66.75 (29) succ(all_4_99) = all_4_67
% 261.15/66.75 (30) pred(n9) = n8
% 261.15/66.75 (31) succ(n3) = n4
% 261.15/66.75 (32) pred(all_4_96) = all_4_60
% 261.15/66.75 (33) succ(all_4_96) = all_4_62
% 261.15/66.75 (34) pred(n3) = n2
% 261.15/66.75 (35) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.75 (36) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.75 (37) pred(all_4_93) = all_4_47
% 261.15/66.75 (38) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.75 (39) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.75 (40) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.75 (41) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.75 (42) all_4_99 = n4
% 261.15/66.75 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.75 (44) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.75 (45) sum(n6, n6) = n1
% 261.15/66.75 (46) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.75 (47) succ(n5) = n6
% 261.15/66.75 (48) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.75 (49) succ(n4) = n5
% 261.15/66.75 (50) succ(all_4_98) = all_4_70
% 261.15/66.75 (51) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.75 (52) succ(all_4_97) = all_4_59
% 261.15/66.75 (53) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.75 (54) sum(n7, n7) = n3
% 261.15/66.75 (55) all_4_98 = n4
% 261.15/66.75 (56) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.75 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.75 | ~ (pred(v2) = v0))
% 261.15/66.75 (58) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.75 (59) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.76 (60) succ(all_4_93) = all_4_43
% 261.15/66.76 (61) pred(all_4_98) = all_4_68
% 261.15/66.76 (62) pred(all_4_94) = all_4_52
% 261.15/66.76
% 261.15/66.76 Begin of proof
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (55), (61) imply:
% 261.15/66.76 | (63) pred(n4) = all_4_68
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (17), (42) imply:
% 261.15/66.76 | (64) pred(n4) = all_4_71
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (50), (55) imply:
% 261.15/66.76 | (65) succ(n4) = all_4_70
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (29), (42) imply:
% 261.15/66.76 | (66) succ(n4) = all_4_67
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with n5, all_4_67, n4, simplifying with (49),
% 261.15/66.76 | (66) gives:
% 261.15/66.76 | (67) all_4_67 = n5
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with all_4_70, all_4_67, n4, simplifying with
% 261.15/66.76 | (65), (66) gives:
% 261.15/66.76 | (68) all_4_67 = all_4_70
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with n3, all_4_68, n4, simplifying with (26),
% 261.15/66.76 | (63) gives:
% 261.15/66.76 | (69) all_4_68 = n3
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with all_4_71, all_4_68, n4, simplifying with
% 261.15/66.76 | (63), (64) gives:
% 261.15/66.76 | (70) all_4_68 = all_4_71
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (67), (68) imply:
% 261.15/66.76 | (71) all_4_70 = n5
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (69), (70) imply:
% 261.15/66.76 | (72) all_4_71 = n3
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (41), (67), (69) imply:
% 261.15/66.76 | (73) sum(n3, n5) = all_4_66
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (51), (69), (71) imply:
% 261.15/66.76 | (74) sum(n3, n5) = all_4_64
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (38), (67), (72) imply:
% 261.15/66.76 | (75) sum(n3, n5) = all_4_65
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (10), (71), (72) imply:
% 261.15/66.76 | (76) sum(n3, n5) = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n8, all_4_65, n5, n3, simplifying with
% 261.15/66.76 | (20), (75) gives:
% 261.15/66.76 | (77) all_4_65 = n8
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_66, all_4_65, n5, n3, simplifying
% 261.15/66.76 | with (73), (75) gives:
% 261.15/66.76 | (78) all_4_65 = all_4_66
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_66, all_4_64, n5, n3, simplifying
% 261.15/66.76 | with (73), (74) gives:
% 261.15/66.76 | (79) all_4_64 = all_4_66
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_69, all_4_64, n5, n3, simplifying
% 261.15/66.76 | with (74), (76) gives:
% 261.15/66.76 | (80) all_4_64 = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (79), (80) imply:
% 261.15/66.76 | (81) all_4_66 = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (81) implies:
% 261.15/66.76 | (82) all_4_66 = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (77), (78) imply:
% 261.15/66.76 | (83) all_4_66 = n8
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (83) implies:
% 261.15/66.76 | (84) all_4_66 = n8
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (82), (84) imply:
% 261.15/66.76 | (85) all_4_69 = n8
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (80), (85) imply:
% 261.15/66.76 | (86) all_4_64 = n8
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (25), (77), (86) imply:
% 261.15/66.76 | (87) sum(n8, n8) = all_4_96
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (48), (84), (85) imply:
% 261.15/66.76 | (88) sum(n8, n8) = all_4_97
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n5, all_4_96, n8, n8, simplifying with
% 261.15/66.76 | (16), (87) gives:
% 261.15/66.76 | (89) all_4_96 = n5
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_97, all_4_96, n8, n8, simplifying
% 261.15/66.76 | with (87), (88) gives:
% 261.15/66.76 | (90) all_4_96 = all_4_97
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (89), (90) imply:
% 261.15/66.76 | (91) all_4_97 = n5
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (91) implies:
% 261.15/66.76 | (92) all_4_97 = n5
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (32), (89) imply:
% 261.15/66.76 | (93) pred(n5) = all_4_60
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (28), (92) imply:
% 261.15/66.76 | (94) pred(n5) = all_4_63
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (33), (89) imply:
% 261.15/66.76 | (95) succ(n5) = all_4_62
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (52), (92) imply:
% 261.15/66.76 | (96) succ(n5) = all_4_59
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with n6, all_4_59, n5, simplifying with (47),
% 261.15/66.76 | (96) gives:
% 261.15/66.76 | (97) all_4_59 = n6
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with all_4_62, all_4_59, n5, simplifying with
% 261.15/66.76 | (95), (96) gives:
% 261.15/66.76 | (98) all_4_59 = all_4_62
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with n4, all_4_60, n5, simplifying with (23),
% 261.15/66.76 | (93) gives:
% 261.15/66.76 | (99) all_4_60 = n4
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with all_4_63, all_4_60, n5, simplifying with
% 261.15/66.76 | (93), (94) gives:
% 261.15/66.76 | (100) all_4_60 = all_4_63
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (97), (98) imply:
% 261.15/66.76 | (101) all_4_62 = n6
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (99), (100) imply:
% 261.15/66.76 | (102) all_4_63 = n4
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (39), (97), (99) imply:
% 261.15/66.76 | (103) sum(n4, n6) = all_4_58
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (9), (99), (101) imply:
% 261.15/66.76 | (104) sum(n4, n6) = all_4_56
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (13), (97), (102) imply:
% 261.15/66.76 | (105) sum(n4, n6) = all_4_57
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (14), (101), (102) imply:
% 261.15/66.76 | (106) sum(n4, n6) = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n10, all_4_57, n6, n4, simplifying with
% 261.15/66.76 | (2), (105) gives:
% 261.15/66.76 | (107) all_4_57 = n10
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_58, all_4_57, n6, n4, simplifying
% 261.15/66.76 | with (103), (105) gives:
% 261.15/66.76 | (108) all_4_57 = all_4_58
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_57, all_4_56, n6, n4, simplifying
% 261.15/66.76 | with (104), (105) gives:
% 261.15/66.76 | (109) all_4_56 = all_4_57
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_61, all_4_56, n6, n4, simplifying
% 261.15/66.76 | with (104), (106) gives:
% 261.15/66.76 | (110) all_4_56 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (109), (110) imply:
% 261.15/66.76 | (111) all_4_57 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (111) implies:
% 261.15/66.76 | (112) all_4_57 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (107), (108) imply:
% 261.15/66.76 | (113) all_4_58 = n10
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (108), (112) imply:
% 261.15/66.76 | (114) all_4_58 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (113), (114) imply:
% 261.15/66.76 | (115) all_4_61 = n10
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (110), (115) imply:
% 261.15/66.76 | (116) all_4_56 = n10
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (19), (107), (116) imply:
% 261.15/66.76 | (117) sum(n10, n10) = all_4_94
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (53), (113), (115) imply:
% 261.15/66.76 | (118) sum(n10, n10) = all_4_95
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n9, all_4_94, n10, n10, simplifying with
% 261.15/66.76 | (21), (117) gives:
% 261.15/66.76 | (119) all_4_94 = n9
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_95, all_4_94, n10, n10, simplifying
% 261.15/66.76 | with (117), (118) gives:
% 261.15/66.76 | (120) all_4_94 = all_4_95
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (119), (120) imply:
% 261.15/66.76 | (121) all_4_95 = n9
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (62), (119) imply:
% 261.15/66.76 | (122) pred(n9) = all_4_52
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (4), (121) imply:
% 261.15/66.76 | (123) pred(n9) = all_4_55
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (15), (119) imply:
% 261.15/66.76 | (124) succ(n9) = all_4_54
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (1), (121) imply:
% 261.15/66.76 | (125) succ(n9) = all_4_51
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with n10, all_4_51, n9, simplifying with (6),
% 261.15/66.76 | (125) gives:
% 261.15/66.76 | (126) all_4_51 = n10
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with all_4_54, all_4_51, n9, simplifying with
% 261.15/66.76 | (124), (125) gives:
% 261.15/66.76 | (127) all_4_51 = all_4_54
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with n8, all_4_52, n9, simplifying with (30),
% 261.15/66.76 | (122) gives:
% 261.15/66.76 | (128) all_4_52 = n8
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with all_4_55, all_4_52, n9, simplifying with
% 261.15/66.76 | (122), (123) gives:
% 261.15/66.76 | (129) all_4_52 = all_4_55
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (126), (127) imply:
% 261.15/66.76 | (130) all_4_54 = n10
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.76 | (131) all_4_55 = n8
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (131) implies:
% 261.15/66.76 | (132) all_4_55 = n8
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (58), (126), (128) imply:
% 261.15/66.76 | (133) sum(n8, n10) = all_4_50
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (8), (128), (130) imply:
% 261.15/66.76 | (134) sum(n8, n10) = all_4_48
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (35), (126), (132) imply:
% 261.15/66.76 | (135) sum(n8, n10) = all_4_49
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (11), (130), (132) imply:
% 261.15/66.76 | (136) sum(n8, n10) = all_4_53
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n7, all_4_49, n10, n8, simplifying with
% 261.15/66.76 | (18), (135) gives:
% 261.15/66.76 | (137) all_4_49 = n7
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_50, all_4_49, n10, n8, simplifying
% 261.15/66.76 | with (133), (135) gives:
% 261.15/66.76 | (138) all_4_49 = all_4_50
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_49, all_4_48, n10, n8, simplifying
% 261.15/66.76 | with (134), (135) gives:
% 261.15/66.76 | (139) all_4_48 = all_4_49
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_53, all_4_48, n10, n8, simplifying
% 261.15/66.76 | with (134), (136) gives:
% 261.15/66.76 | (140) all_4_48 = all_4_53
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (139), (140) imply:
% 261.15/66.76 | (141) all_4_49 = all_4_53
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (141) implies:
% 261.15/66.76 | (142) all_4_49 = all_4_53
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (137), (138) imply:
% 261.15/66.76 | (143) all_4_50 = n7
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (138), (142) imply:
% 261.15/66.76 | (144) all_4_50 = all_4_53
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.76 | (145) all_4_53 = n7
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (140), (145) imply:
% 261.15/66.76 | (146) all_4_48 = n7
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (56), (137), (146) imply:
% 261.15/66.76 | (147) sum(n7, n7) = all_4_92
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (59), (143), (145) imply:
% 261.15/66.76 | (148) sum(n7, n7) = all_4_93
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n3, all_4_92, n7, n7, simplifying with
% 261.15/66.76 | (54), (147) gives:
% 261.15/66.76 | (149) all_4_92 = n3
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_93, all_4_92, n7, n7, simplifying
% 261.15/66.76 | with (147), (148) gives:
% 261.15/66.76 | (150) all_4_92 = all_4_93
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (149), (150) imply:
% 261.15/66.76 | (151) all_4_93 = n3
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (151) implies:
% 261.15/66.76 | (152) all_4_93 = n3
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (24), (149) imply:
% 261.15/66.76 | (153) pred(n3) = all_4_44
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (37), (152) imply:
% 261.15/66.76 | (154) pred(n3) = all_4_47
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (3), (149) imply:
% 261.15/66.76 | (155) succ(n3) = all_4_46
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (60), (152) imply:
% 261.15/66.76 | (156) succ(n3) = all_4_43
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with n4, all_4_43, n3, simplifying with (31),
% 261.15/66.76 | (156) gives:
% 261.15/66.76 | (157) all_4_43 = n4
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (27) with all_4_46, all_4_43, n3, simplifying with
% 261.15/66.76 | (155), (156) gives:
% 261.15/66.76 | (158) all_4_43 = all_4_46
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with n2, all_4_44, n3, simplifying with (34),
% 261.15/66.76 | (153) gives:
% 261.15/66.76 | (159) all_4_44 = n2
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (57) with all_4_47, all_4_44, n3, simplifying with
% 261.15/66.76 | (153), (154) gives:
% 261.15/66.76 | (160) all_4_44 = all_4_47
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (157), (158) imply:
% 261.15/66.76 | (161) all_4_46 = n4
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (159), (160) imply:
% 261.15/66.76 | (162) all_4_47 = n2
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (46), (157), (159) imply:
% 261.15/66.76 | (163) sum(n2, n4) = all_4_42
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (5), (159), (161) imply:
% 261.15/66.76 | (164) sum(n2, n4) = all_4_40
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (22), (157), (162) imply:
% 261.15/66.76 | (165) sum(n2, n4) = all_4_41
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (36), (161), (162) imply:
% 261.15/66.76 | (166) sum(n2, n4) = all_4_45
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n6, all_4_41, n4, n2, simplifying with
% 261.15/66.76 | (12), (165) gives:
% 261.15/66.76 | (167) all_4_41 = n6
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_42, all_4_41, n4, n2, simplifying
% 261.15/66.76 | with (163), (165) gives:
% 261.15/66.76 | (168) all_4_41 = all_4_42
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_41, all_4_40, n4, n2, simplifying
% 261.15/66.76 | with (164), (165) gives:
% 261.15/66.76 | (169) all_4_40 = all_4_41
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_45, all_4_40, n4, n2, simplifying
% 261.15/66.76 | with (164), (166) gives:
% 261.15/66.76 | (170) all_4_40 = all_4_45
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (169), (170) imply:
% 261.15/66.76 | (171) all_4_41 = all_4_45
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (171) implies:
% 261.15/66.76 | (172) all_4_41 = all_4_45
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (167), (168) imply:
% 261.15/66.76 | (173) all_4_42 = n6
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (168), (172) imply:
% 261.15/66.76 | (174) all_4_42 = all_4_45
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (173), (174) imply:
% 261.15/66.76 | (175) all_4_45 = n6
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (175) implies:
% 261.15/66.76 | (176) all_4_45 = n6
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (170), (176) imply:
% 261.15/66.76 | (177) all_4_40 = n6
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (40), (167), (177) imply:
% 261.15/66.76 | (178) sum(n6, n6) = all_4_90
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (44), (173), (176) imply:
% 261.15/66.76 | (179) sum(n6, n6) = all_4_91
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with n1, all_4_90, n6, n6, simplifying with
% 261.15/66.76 | (45), (178) gives:
% 261.15/66.76 | (180) all_4_90 = n1
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (43) with all_4_91, all_4_90, n6, n6, simplifying
% 261.15/66.76 | with (178), (179) gives:
% 261.15/66.76 | (181) all_4_90 = all_4_91
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (180), (181) imply:
% 261.15/66.76 | (182) all_4_91 = n1
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (182) implies:
% 261.15/66.76 | (183) all_4_91 = n1
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (7), (180), (183) imply:
% 261.15/66.76 | (184) $false
% 261.15/66.76 |
% 261.15/66.76 | CLOSE: (184) is inconsistent.
% 261.15/66.76 |
% 261.15/66.76 End of proof
% 261.15/66.76
% 261.15/66.76 Sub-proof #123 shows that the following formulas are inconsistent:
% 261.15/66.76 ----------------------------------------------------------------
% 261.15/66.76 (1) succ(all_4_95) = all_4_51
% 261.15/66.76 (2) succ(all_4_92) = all_4_46
% 261.15/66.76 (3) pred(all_4_95) = all_4_55
% 261.15/66.76 (4) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.76 (5) sum(n9, n0) = n9
% 261.15/66.76 (6) ~ (all_4_90 = all_4_91)
% 261.15/66.76 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.76 (8) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.76 (9) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.76 (10) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.76 (11) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.76 (12) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.76 (13) succ(all_4_94) = all_4_54
% 261.15/66.76 (14) pred(n8) = n7
% 261.15/66.76 (15) pred(all_4_99) = all_4_71
% 261.15/66.76 (16) all_4_98 = n6
% 261.15/66.76 (17) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.76 (18) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.76 (19) pred(all_4_92) = all_4_44
% 261.15/66.76 (20) sum(n5, n7) = n1
% 261.15/66.76 (21) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.76 (22) succ(n10) = n0
% 261.15/66.76 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.76 | ~ (succ(v2) = v0))
% 261.15/66.76 (24) pred(all_4_97) = all_4_63
% 261.15/66.76 (25) succ(all_4_99) = all_4_67
% 261.15/66.76 (26) pred(n6) = n5
% 261.15/66.76 (27) pred(all_4_96) = all_4_60
% 261.15/66.76 (28) succ(all_4_96) = all_4_62
% 261.15/66.76 (29) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.76 (30) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.76 (31) pred(all_4_93) = all_4_47
% 261.15/66.76 (32) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.76 (33) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.76 (34) sum(n5, n5) = n10
% 261.15/66.76 (35) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.76 (36) succ(n2) = n3
% 261.15/66.76 (37) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.76 (38) succ(n6) = n7
% 261.15/66.76 (39) succ(n8) = n9
% 261.15/66.76 (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.76 (41) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.76 (42) sum(n9, n9) = n7
% 261.15/66.76 (43) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.76 (44) pred(n10) = n9
% 261.15/66.76 (45) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.76 (46) sum(n7, n9) = n5
% 261.15/66.76 (47) pred(n2) = n1
% 261.15/66.76 (48) succ(all_4_98) = all_4_70
% 261.15/66.76 (49) sum(n4, n4) = n8
% 261.15/66.76 (50) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.76 (51) succ(all_4_97) = all_4_59
% 261.15/66.76 (52) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.76 (53) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.76 (54) all_4_99 = n6
% 261.15/66.76 (55) sum(n1, n3) = n4
% 261.15/66.76 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.76 | ~ (pred(v2) = v0))
% 261.15/66.76 (57) sum(n1, n1) = n2
% 261.15/66.76 (58) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.76 (59) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.76 (60) succ(all_4_93) = all_4_43
% 261.15/66.76 (61) pred(all_4_98) = all_4_68
% 261.15/66.76 (62) pred(all_4_94) = all_4_52
% 261.15/66.76
% 261.15/66.76 Begin of proof
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (16), (61) imply:
% 261.15/66.76 | (63) pred(n6) = all_4_68
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (15), (54) imply:
% 261.15/66.76 | (64) pred(n6) = all_4_71
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (16), (48) imply:
% 261.15/66.76 | (65) succ(n6) = all_4_70
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (25), (54) imply:
% 261.15/66.76 | (66) succ(n6) = all_4_67
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (23) with n7, all_4_67, n6, simplifying with (38),
% 261.15/66.76 | (66) gives:
% 261.15/66.76 | (67) all_4_67 = n7
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (23) with all_4_70, all_4_67, n6, simplifying with
% 261.15/66.76 | (65), (66) gives:
% 261.15/66.76 | (68) all_4_67 = all_4_70
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (56) with n5, all_4_68, n6, simplifying with (26),
% 261.15/66.76 | (63) gives:
% 261.15/66.76 | (69) all_4_68 = n5
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (56) with all_4_71, all_4_68, n6, simplifying with
% 261.15/66.76 | (63), (64) gives:
% 261.15/66.76 | (70) all_4_68 = all_4_71
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (67), (68) imply:
% 261.15/66.76 | (71) all_4_70 = n7
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (69), (70) imply:
% 261.15/66.76 | (72) all_4_71 = n5
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (37), (67), (69) imply:
% 261.15/66.76 | (73) sum(n5, n7) = all_4_66
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (50), (69), (71) imply:
% 261.15/66.76 | (74) sum(n5, n7) = all_4_64
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (32), (67), (72) imply:
% 261.15/66.76 | (75) sum(n5, n7) = all_4_65
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (9), (71), (72) imply:
% 261.15/66.76 | (76) sum(n5, n7) = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with n1, all_4_65, n7, n5, simplifying with
% 261.15/66.76 | (20), (75) gives:
% 261.15/66.76 | (77) all_4_65 = n1
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_66, all_4_65, n7, n5, simplifying
% 261.15/66.76 | with (73), (75) gives:
% 261.15/66.76 | (78) all_4_65 = all_4_66
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_66, all_4_64, n7, n5, simplifying
% 261.15/66.76 | with (73), (74) gives:
% 261.15/66.76 | (79) all_4_64 = all_4_66
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_69, all_4_64, n7, n5, simplifying
% 261.15/66.76 | with (74), (76) gives:
% 261.15/66.76 | (80) all_4_64 = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (79), (80) imply:
% 261.15/66.76 | (81) all_4_66 = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (81) implies:
% 261.15/66.76 | (82) all_4_66 = all_4_69
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (77), (78) imply:
% 261.15/66.76 | (83) all_4_66 = n1
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (83) implies:
% 261.15/66.76 | (84) all_4_66 = n1
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (82), (84) imply:
% 261.15/66.76 | (85) all_4_69 = n1
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (80), (85) imply:
% 261.15/66.76 | (86) all_4_64 = n1
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (21), (77), (86) imply:
% 261.15/66.76 | (87) sum(n1, n1) = all_4_96
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (45), (84), (85) imply:
% 261.15/66.76 | (88) sum(n1, n1) = all_4_97
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with n2, all_4_96, n1, n1, simplifying with
% 261.15/66.76 | (57), (87) gives:
% 261.15/66.76 | (89) all_4_96 = n2
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_97, all_4_96, n1, n1, simplifying
% 261.15/66.76 | with (87), (88) gives:
% 261.15/66.76 | (90) all_4_96 = all_4_97
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (89), (90) imply:
% 261.15/66.76 | (91) all_4_97 = n2
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (91) implies:
% 261.15/66.76 | (92) all_4_97 = n2
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (27), (89) imply:
% 261.15/66.76 | (93) pred(n2) = all_4_60
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (24), (92) imply:
% 261.15/66.76 | (94) pred(n2) = all_4_63
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (28), (89) imply:
% 261.15/66.76 | (95) succ(n2) = all_4_62
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (51), (92) imply:
% 261.15/66.76 | (96) succ(n2) = all_4_59
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (23) with n3, all_4_59, n2, simplifying with (36),
% 261.15/66.76 | (96) gives:
% 261.15/66.76 | (97) all_4_59 = n3
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (23) with all_4_62, all_4_59, n2, simplifying with
% 261.15/66.76 | (95), (96) gives:
% 261.15/66.76 | (98) all_4_59 = all_4_62
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (56) with n1, all_4_60, n2, simplifying with (47),
% 261.15/66.76 | (93) gives:
% 261.15/66.76 | (99) all_4_60 = n1
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (56) with all_4_63, all_4_60, n2, simplifying with
% 261.15/66.76 | (93), (94) gives:
% 261.15/66.76 | (100) all_4_60 = all_4_63
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (97), (98) imply:
% 261.15/66.76 | (101) all_4_62 = n3
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (99), (100) imply:
% 261.15/66.76 | (102) all_4_63 = n1
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (33), (97), (99) imply:
% 261.15/66.76 | (103) sum(n1, n3) = all_4_58
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (8), (99), (101) imply:
% 261.15/66.76 | (104) sum(n1, n3) = all_4_56
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (11), (97), (102) imply:
% 261.15/66.76 | (105) sum(n1, n3) = all_4_57
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (12), (101), (102) imply:
% 261.15/66.76 | (106) sum(n1, n3) = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with n4, all_4_57, n3, n1, simplifying with
% 261.15/66.76 | (55), (105) gives:
% 261.15/66.76 | (107) all_4_57 = n4
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_58, all_4_57, n3, n1, simplifying
% 261.15/66.76 | with (103), (105) gives:
% 261.15/66.76 | (108) all_4_57 = all_4_58
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_57, all_4_56, n3, n1, simplifying
% 261.15/66.76 | with (104), (105) gives:
% 261.15/66.76 | (109) all_4_56 = all_4_57
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_61, all_4_56, n3, n1, simplifying
% 261.15/66.76 | with (104), (106) gives:
% 261.15/66.76 | (110) all_4_56 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (109), (110) imply:
% 261.15/66.76 | (111) all_4_57 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (111) implies:
% 261.15/66.76 | (112) all_4_57 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (107), (108) imply:
% 261.15/66.76 | (113) all_4_58 = n4
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (108), (112) imply:
% 261.15/66.76 | (114) all_4_58 = all_4_61
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (113), (114) imply:
% 261.15/66.76 | (115) all_4_61 = n4
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (110), (115) imply:
% 261.15/66.76 | (116) all_4_56 = n4
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (17), (107), (116) imply:
% 261.15/66.76 | (117) sum(n4, n4) = all_4_94
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (52), (113), (115) imply:
% 261.15/66.76 | (118) sum(n4, n4) = all_4_95
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with n8, all_4_94, n4, n4, simplifying with
% 261.15/66.76 | (49), (117) gives:
% 261.15/66.76 | (119) all_4_94 = n8
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_95, all_4_94, n4, n4, simplifying
% 261.15/66.76 | with (117), (118) gives:
% 261.15/66.76 | (120) all_4_94 = all_4_95
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (119), (120) imply:
% 261.15/66.76 | (121) all_4_95 = n8
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (62), (119) imply:
% 261.15/66.76 | (122) pred(n8) = all_4_52
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (3), (121) imply:
% 261.15/66.76 | (123) pred(n8) = all_4_55
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (13), (119) imply:
% 261.15/66.76 | (124) succ(n8) = all_4_54
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (1), (121) imply:
% 261.15/66.76 | (125) succ(n8) = all_4_51
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (23) with n9, all_4_51, n8, simplifying with (39),
% 261.15/66.76 | (125) gives:
% 261.15/66.76 | (126) all_4_51 = n9
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (23) with all_4_54, all_4_51, n8, simplifying with
% 261.15/66.76 | (124), (125) gives:
% 261.15/66.76 | (127) all_4_51 = all_4_54
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (56) with n7, all_4_52, n8, simplifying with (14),
% 261.15/66.76 | (122) gives:
% 261.15/66.76 | (128) all_4_52 = n7
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (56) with all_4_55, all_4_52, n8, simplifying with
% 261.15/66.76 | (122), (123) gives:
% 261.15/66.76 | (129) all_4_52 = all_4_55
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (126), (127) imply:
% 261.15/66.76 | (130) all_4_54 = n9
% 261.15/66.76 |
% 261.15/66.76 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.76 | (131) all_4_55 = n7
% 261.15/66.76 |
% 261.15/66.76 | SIMP: (131) implies:
% 261.15/66.76 | (132) all_4_55 = n7
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (58), (126), (128) imply:
% 261.15/66.76 | (133) sum(n7, n9) = all_4_50
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (7), (128), (130) imply:
% 261.15/66.76 | (134) sum(n7, n9) = all_4_48
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (29), (126), (132) imply:
% 261.15/66.76 | (135) sum(n7, n9) = all_4_49
% 261.15/66.76 |
% 261.15/66.76 | REDUCE: (10), (130), (132) imply:
% 261.15/66.76 | (136) sum(n7, n9) = all_4_53
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with n5, all_4_49, n9, n7, simplifying with
% 261.15/66.76 | (46), (135) gives:
% 261.15/66.76 | (137) all_4_49 = n5
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_50, all_4_49, n9, n7, simplifying
% 261.15/66.76 | with (133), (135) gives:
% 261.15/66.76 | (138) all_4_49 = all_4_50
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_49, all_4_48, n9, n7, simplifying
% 261.15/66.76 | with (134), (135) gives:
% 261.15/66.76 | (139) all_4_48 = all_4_49
% 261.15/66.76 |
% 261.15/66.76 | GROUND_INST: instantiating (40) with all_4_53, all_4_48, n9, n7, simplifying
% 261.15/66.76 | with (134), (136) gives:
% 261.15/66.76 | (140) all_4_48 = all_4_53
% 261.15/66.76 |
% 261.15/66.77 | COMBINE_EQS: (139), (140) imply:
% 261.15/66.77 | (141) all_4_49 = all_4_53
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (141) implies:
% 261.15/66.77 | (142) all_4_49 = all_4_53
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (137), (138) imply:
% 261.15/66.77 | (143) all_4_50 = n5
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (138), (142) imply:
% 261.15/66.77 | (144) all_4_50 = all_4_53
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.77 | (145) all_4_53 = n5
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (140), (145) imply:
% 261.15/66.77 | (146) all_4_48 = n5
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (53), (137), (146) imply:
% 261.15/66.77 | (147) sum(n5, n5) = all_4_92
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (59), (143), (145) imply:
% 261.15/66.77 | (148) sum(n5, n5) = all_4_93
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (40) with n10, all_4_92, n5, n5, simplifying with
% 261.15/66.77 | (34), (147) gives:
% 261.15/66.77 | (149) all_4_92 = n10
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (40) with all_4_93, all_4_92, n5, n5, simplifying
% 261.15/66.77 | with (147), (148) gives:
% 261.15/66.77 | (150) all_4_92 = all_4_93
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (149), (150) imply:
% 261.15/66.77 | (151) all_4_93 = n10
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (151) implies:
% 261.15/66.77 | (152) all_4_93 = n10
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (19), (149) imply:
% 261.15/66.77 | (153) pred(n10) = all_4_44
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (31), (152) imply:
% 261.15/66.77 | (154) pred(n10) = all_4_47
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (2), (149) imply:
% 261.15/66.77 | (155) succ(n10) = all_4_46
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (60), (152) imply:
% 261.15/66.77 | (156) succ(n10) = all_4_43
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (23) with n0, all_4_43, n10, simplifying with (22),
% 261.15/66.77 | (156) gives:
% 261.15/66.77 | (157) all_4_43 = n0
% 261.15/66.77 |
% 261.15/66.77 | REF_CLOSE: (4), (5), (6), (18), (23), (30), (35), (40), (41), (42), (43),
% 261.15/66.77 | (44), (56), (153), (154), (155), (156), (157) are inconsistent by
% 261.15/66.77 | sub-proof #124.
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #124 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) succ(n10) = all_4_46
% 261.15/66.77 (2) pred(n10) = all_4_47
% 261.15/66.77 (3) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.77 (4) sum(n9, n0) = n9
% 261.15/66.77 (5) ~ (all_4_90 = all_4_91)
% 261.15/66.77 (6) pred(n10) = all_4_44
% 261.15/66.77 (7) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.77 (8) succ(n10) = all_4_43
% 261.15/66.77 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.15/66.77 ~ (succ(v2) = v0))
% 261.15/66.77 (10) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.77 (11) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.77 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.77 (13) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.77 (14) sum(n9, n9) = n7
% 261.15/66.77 (15) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.77 (16) pred(n10) = n9
% 261.15/66.77 (17) all_4_43 = n0
% 261.15/66.77 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.77 | ~ (pred(v2) = v0))
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (9) with all_4_46, all_4_43, n10, simplifying with
% 261.15/66.77 | (1), (8) gives:
% 261.15/66.77 | (19) all_4_43 = all_4_46
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (18) with n9, all_4_44, n10, simplifying with (6),
% 261.15/66.77 | (16) gives:
% 261.15/66.77 | (20) all_4_44 = n9
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (18) with all_4_47, all_4_44, n10, simplifying with
% 261.15/66.77 | (2), (6) gives:
% 261.15/66.77 | (21) all_4_44 = all_4_47
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (17), (19) imply:
% 261.15/66.77 | (22) all_4_46 = n0
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (20), (21) imply:
% 261.15/66.77 | (23) all_4_47 = n9
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (15), (17), (20) imply:
% 261.15/66.77 | (24) sum(n9, n0) = all_4_42
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (3), (20), (22) imply:
% 261.15/66.77 | (25) sum(n9, n0) = all_4_40
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (7), (17), (23) imply:
% 261.15/66.77 | (26) sum(n9, n0) = all_4_41
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (10), (22), (23) imply:
% 261.15/66.77 | (27) sum(n9, n0) = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (12) with n9, all_4_41, n0, n9, simplifying with
% 261.15/66.77 | (4), (26) gives:
% 261.15/66.77 | (28) all_4_41 = n9
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (12) with all_4_42, all_4_41, n0, n9, simplifying
% 261.15/66.77 | with (24), (26) gives:
% 261.15/66.77 | (29) all_4_41 = all_4_42
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (12) with all_4_41, all_4_40, n0, n9, simplifying
% 261.15/66.77 | with (25), (26) gives:
% 261.15/66.77 | (30) all_4_40 = all_4_41
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (12) with all_4_45, all_4_40, n0, n9, simplifying
% 261.15/66.77 | with (25), (27) gives:
% 261.15/66.77 | (31) all_4_40 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (30), (31) imply:
% 261.15/66.77 | (32) all_4_41 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (32) implies:
% 261.15/66.77 | (33) all_4_41 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (28), (29) imply:
% 261.15/66.77 | (34) all_4_42 = n9
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (29), (33) imply:
% 261.15/66.77 | (35) all_4_42 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (34), (35) imply:
% 261.15/66.77 | (36) all_4_45 = n9
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (36) implies:
% 261.15/66.77 | (37) all_4_45 = n9
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (31), (37) imply:
% 261.15/66.77 | (38) all_4_40 = n9
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (11), (28), (38) imply:
% 261.15/66.77 | (39) sum(n9, n9) = all_4_90
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (13), (34), (37) imply:
% 261.15/66.77 | (40) sum(n9, n9) = all_4_91
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (12) with n7, all_4_90, n9, n9, simplifying with
% 261.15/66.77 | (14), (39) gives:
% 261.15/66.77 | (41) all_4_90 = n7
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (12) with all_4_91, all_4_90, n9, n9, simplifying
% 261.15/66.77 | with (39), (40) gives:
% 261.15/66.77 | (42) all_4_90 = all_4_91
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (41), (42) imply:
% 261.15/66.77 | (43) all_4_91 = n7
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (43) implies:
% 261.15/66.77 | (44) all_4_91 = n7
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (5), (41), (44) imply:
% 261.15/66.77 | (45) $false
% 261.15/66.77 |
% 261.15/66.77 | CLOSE: (45) is inconsistent.
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #125 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.77 (2) ~ (all_4_90 = all_4_91)
% 261.15/66.77 (3) succ(n6) = all_4_43
% 261.15/66.77 (4) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.77 (5) sum(n5, n7) = n1
% 261.15/66.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.15/66.77 ~ (succ(v2) = v0))
% 261.15/66.77 (7) pred(n6) = n5
% 261.15/66.77 (8) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.77 (9) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.77 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.77 (11) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.77 (12) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.77 (13) pred(n6) = all_4_47
% 261.15/66.77 (14) all_4_43 = n7
% 261.15/66.77 (15) pred(n6) = all_4_44
% 261.15/66.77 (16) succ(n6) = all_4_46
% 261.15/66.77 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.77 | ~ (pred(v2) = v0))
% 261.15/66.77 (18) sum(n1, n1) = n2
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (6) with all_4_46, all_4_43, n6, simplifying with
% 261.15/66.77 | (3), (16) gives:
% 261.15/66.77 | (19) all_4_43 = all_4_46
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (17) with n5, all_4_44, n6, simplifying with (7),
% 261.15/66.77 | (15) gives:
% 261.15/66.77 | (20) all_4_44 = n5
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (17) with all_4_47, all_4_44, n6, simplifying with
% 261.15/66.77 | (13), (15) gives:
% 261.15/66.77 | (21) all_4_44 = all_4_47
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (14), (19) imply:
% 261.15/66.77 | (22) all_4_46 = n7
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (20), (21) imply:
% 261.15/66.77 | (23) all_4_47 = n5
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (12), (14), (20) imply:
% 261.15/66.77 | (24) sum(n5, n7) = all_4_42
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (1), (20), (22) imply:
% 261.15/66.77 | (25) sum(n5, n7) = all_4_40
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (4), (14), (23) imply:
% 261.15/66.77 | (26) sum(n5, n7) = all_4_41
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (8), (22), (23) imply:
% 261.15/66.77 | (27) sum(n5, n7) = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with n1, all_4_41, n7, n5, simplifying with
% 261.15/66.77 | (5), (26) gives:
% 261.15/66.77 | (28) all_4_41 = n1
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_42, all_4_41, n7, n5, simplifying
% 261.15/66.77 | with (24), (26) gives:
% 261.15/66.77 | (29) all_4_41 = all_4_42
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_41, all_4_40, n7, n5, simplifying
% 261.15/66.77 | with (25), (26) gives:
% 261.15/66.77 | (30) all_4_40 = all_4_41
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_45, all_4_40, n7, n5, simplifying
% 261.15/66.77 | with (25), (27) gives:
% 261.15/66.77 | (31) all_4_40 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (30), (31) imply:
% 261.15/66.77 | (32) all_4_41 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (32) implies:
% 261.15/66.77 | (33) all_4_41 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (28), (29) imply:
% 261.15/66.77 | (34) all_4_42 = n1
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (29), (33) imply:
% 261.15/66.77 | (35) all_4_42 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (34), (35) imply:
% 261.15/66.77 | (36) all_4_45 = n1
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (36) implies:
% 261.15/66.77 | (37) all_4_45 = n1
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (31), (37) imply:
% 261.15/66.77 | (38) all_4_40 = n1
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (9), (28), (38) imply:
% 261.15/66.77 | (39) sum(n1, n1) = all_4_90
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (11), (34), (37) imply:
% 261.15/66.77 | (40) sum(n1, n1) = all_4_91
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with n2, all_4_90, n1, n1, simplifying with
% 261.15/66.77 | (18), (39) gives:
% 261.15/66.77 | (41) all_4_90 = n2
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_91, all_4_90, n1, n1, simplifying
% 261.15/66.77 | with (39), (40) gives:
% 261.15/66.77 | (42) all_4_90 = all_4_91
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (41), (42) imply:
% 261.15/66.77 | (43) all_4_91 = n2
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (43) implies:
% 261.15/66.77 | (44) all_4_91 = n2
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (2), (41), (44) imply:
% 261.15/66.77 | (45) $false
% 261.15/66.77 |
% 261.15/66.77 | CLOSE: (45) is inconsistent.
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #126 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) all_4_97 = n7
% 261.15/66.77 (2) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.15/66.77 all_4_97) | ~ (all_4_98 = all_4_99)
% 261.15/66.77 (3) all_4_96 = n7
% 261.15/66.77 (4) all_4_93 = n2
% 261.15/66.77 (5) all_4_99 = n10
% 261.15/66.77 (6) all_4_98 = n10
% 261.15/66.77 (7) all_4_95 = n6
% 261.15/66.77 (8) all_4_92 = n2
% 261.15/66.77 (9) all_4_94 = n6
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | BETA: splitting (2) gives:
% 261.15/66.77 |
% 261.15/66.77 | Case 1:
% 261.15/66.77 | |
% 261.15/66.77 | | (10) ~ (all_4_92 = all_4_93)
% 261.15/66.77 | |
% 261.15/66.77 | | REDUCE: (4), (8), (10) imply:
% 261.15/66.77 | | (11) $false
% 261.15/66.77 | |
% 261.15/66.77 | | CLOSE: (11) is inconsistent.
% 261.15/66.77 | |
% 261.15/66.77 | Case 2:
% 261.15/66.77 | |
% 261.15/66.77 | | (12) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.15/66.77 | | all_4_99)
% 261.15/66.77 | |
% 261.15/66.77 | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (12) are inconsistent by sub-proof
% 261.15/66.77 | | #127.
% 261.15/66.77 | |
% 261.15/66.77 | End of split
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #127 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) all_4_97 = n7
% 261.15/66.77 (2) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.15/66.77 all_4_99)
% 261.15/66.77 (3) all_4_96 = n7
% 261.15/66.77 (4) all_4_99 = n10
% 261.15/66.77 (5) all_4_98 = n10
% 261.15/66.77 (6) all_4_95 = n6
% 261.15/66.77 (7) all_4_94 = n6
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | BETA: splitting (2) gives:
% 261.15/66.77 |
% 261.15/66.77 | Case 1:
% 261.15/66.77 | |
% 261.15/66.77 | | (8) ~ (all_4_94 = all_4_95)
% 261.15/66.77 | |
% 261.15/66.77 | | REDUCE: (6), (7), (8) imply:
% 261.15/66.77 | | (9) $false
% 261.15/66.77 | |
% 261.15/66.77 | | CLOSE: (9) is inconsistent.
% 261.15/66.77 | |
% 261.15/66.77 | Case 2:
% 261.15/66.77 | |
% 261.15/66.77 | | (10) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.15/66.77 | |
% 261.15/66.77 | | REF_CLOSE: (1), (3), (4), (5), (10) are inconsistent by sub-proof #128.
% 261.15/66.77 | |
% 261.15/66.77 | End of split
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #128 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) all_4_97 = n7
% 261.15/66.77 (2) all_4_96 = n7
% 261.15/66.77 (3) all_4_99 = n10
% 261.15/66.77 (4) all_4_98 = n10
% 261.15/66.77 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | BETA: splitting (5) gives:
% 261.15/66.77 |
% 261.15/66.77 | Case 1:
% 261.15/66.77 | |
% 261.15/66.77 | | (6) ~ (all_4_96 = all_4_97)
% 261.15/66.77 | |
% 261.15/66.77 | | REDUCE: (1), (2), (6) imply:
% 261.15/66.77 | | (7) $false
% 261.15/66.77 | |
% 261.15/66.77 | | CLOSE: (7) is inconsistent.
% 261.15/66.77 | |
% 261.15/66.77 | Case 2:
% 261.15/66.77 | |
% 261.15/66.77 | | (8) ~ (all_4_98 = all_4_99)
% 261.15/66.77 | |
% 261.15/66.77 | | REDUCE: (3), (4), (8) imply:
% 261.15/66.77 | | (9) $false
% 261.15/66.77 | |
% 261.15/66.77 | | CLOSE: (9) is inconsistent.
% 261.15/66.77 | |
% 261.15/66.77 | End of split
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #129 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) pred(n2) = all_4_47
% 261.15/66.77 (2) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.77 (3) ~ (all_4_90 = all_4_91)
% 261.15/66.77 (4) pred(n2) = all_4_44
% 261.15/66.77 (5) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.15/66.77 ~ (succ(v2) = v0))
% 261.15/66.77 (7) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.77 (8) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.77 (9) all_4_43 = n3
% 261.15/66.77 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.77 (11) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.77 (12) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.77 (13) pred(n2) = n1
% 261.15/66.77 (14) succ(n2) = all_4_43
% 261.15/66.77 (15) sum(n4, n4) = n8
% 261.15/66.77 (16) succ(n2) = all_4_46
% 261.15/66.77 (17) sum(n1, n3) = n4
% 261.15/66.77 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.77 | ~ (pred(v2) = v0))
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (6) with all_4_46, all_4_43, n2, simplifying with
% 261.15/66.77 | (14), (16) gives:
% 261.15/66.77 | (19) all_4_43 = all_4_46
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (18) with n1, all_4_44, n2, simplifying with (4),
% 261.15/66.77 | (13) gives:
% 261.15/66.77 | (20) all_4_44 = n1
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (18) with all_4_47, all_4_44, n2, simplifying with
% 261.15/66.77 | (1), (4) gives:
% 261.15/66.77 | (21) all_4_44 = all_4_47
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (9), (19) imply:
% 261.15/66.77 | (22) all_4_46 = n3
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (20), (21) imply:
% 261.15/66.77 | (23) all_4_47 = n1
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (9), (12), (20) imply:
% 261.15/66.77 | (24) sum(n1, n3) = all_4_42
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (2), (20), (22) imply:
% 261.15/66.77 | (25) sum(n1, n3) = all_4_40
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (5), (9), (23) imply:
% 261.15/66.77 | (26) sum(n1, n3) = all_4_41
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (7), (22), (23) imply:
% 261.15/66.77 | (27) sum(n1, n3) = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with n4, all_4_41, n3, n1, simplifying with
% 261.15/66.77 | (17), (26) gives:
% 261.15/66.77 | (28) all_4_41 = n4
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_42, all_4_41, n3, n1, simplifying
% 261.15/66.77 | with (24), (26) gives:
% 261.15/66.77 | (29) all_4_41 = all_4_42
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_41, all_4_40, n3, n1, simplifying
% 261.15/66.77 | with (25), (26) gives:
% 261.15/66.77 | (30) all_4_40 = all_4_41
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_45, all_4_40, n3, n1, simplifying
% 261.15/66.77 | with (25), (27) gives:
% 261.15/66.77 | (31) all_4_40 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (30), (31) imply:
% 261.15/66.77 | (32) all_4_41 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (32) implies:
% 261.15/66.77 | (33) all_4_41 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (28), (29) imply:
% 261.15/66.77 | (34) all_4_42 = n4
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (29), (33) imply:
% 261.15/66.77 | (35) all_4_42 = all_4_45
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (34), (35) imply:
% 261.15/66.77 | (36) all_4_45 = n4
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (36) implies:
% 261.15/66.77 | (37) all_4_45 = n4
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (31), (37) imply:
% 261.15/66.77 | (38) all_4_40 = n4
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (8), (28), (38) imply:
% 261.15/66.77 | (39) sum(n4, n4) = all_4_90
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (11), (34), (37) imply:
% 261.15/66.77 | (40) sum(n4, n4) = all_4_91
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with n8, all_4_90, n4, n4, simplifying with
% 261.15/66.77 | (15), (39) gives:
% 261.15/66.77 | (41) all_4_90 = n8
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (10) with all_4_91, all_4_90, n4, n4, simplifying
% 261.15/66.77 | with (39), (40) gives:
% 261.15/66.77 | (42) all_4_90 = all_4_91
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (41), (42) imply:
% 261.15/66.77 | (43) all_4_91 = n8
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (43) implies:
% 261.15/66.77 | (44) all_4_91 = n8
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (3), (41), (44) imply:
% 261.15/66.77 | (45) $false
% 261.15/66.77 |
% 261.15/66.77 | CLOSE: (45) is inconsistent.
% 261.15/66.77 |
% 261.15/66.77 End of proof
% 261.15/66.77
% 261.15/66.77 Sub-proof #130 shows that the following formulas are inconsistent:
% 261.15/66.77 ----------------------------------------------------------------
% 261.15/66.77 (1) succ(all_4_95) = all_4_51
% 261.15/66.77 (2) succ(n1) = n2
% 261.15/66.77 (3) succ(all_4_91) = all_4_35
% 261.15/66.77 (4) sum(n4, n6) = n10
% 261.15/66.77 (5) succ(all_4_92) = all_4_46
% 261.15/66.77 (6) sum(n2, n2) = n4
% 261.15/66.77 (7) pred(all_4_95) = all_4_55
% 261.15/66.77 (8) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.77 (9) all_4_98 = n9
% 261.15/66.77 (10) succ(n9) = n10
% 261.15/66.77 (11) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.77 (12) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.77 (13) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.77 (14) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.77 (15) sum(n2, n4) = n6
% 261.15/66.77 (16) ~ (all_4_88 = all_4_89)
% 261.15/66.77 (17) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.77 (18) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.77 (19) succ(all_4_94) = all_4_54
% 261.15/66.77 (20) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.77 (21) sum(n8, n8) = n5
% 261.15/66.77 (22) pred(all_4_99) = all_4_71
% 261.15/66.77 (23) succ(all_4_90) = all_4_38
% 261.15/66.77 (24) sum(n8, n10) = n7
% 261.15/66.77 (25) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.77 (26) sum(n0, n2) = n2
% 261.15/66.77 (27) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.77 (28) sum(n3, n5) = n8
% 261.15/66.77 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.77 (30) pred(n5) = n4
% 261.15/66.77 (31) pred(all_4_91) = all_4_39
% 261.15/66.77 (32) pred(all_4_92) = all_4_44
% 261.15/66.77 (33) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.77 (34) pred(n4) = n3
% 261.15/66.77 (35) sum(n10, n10) = all_4_99
% 261.15/66.77 (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.77 | ~ (succ(v2) = v0))
% 261.15/66.77 (37) pred(all_4_97) = all_4_63
% 261.15/66.77 (38) succ(all_4_99) = all_4_67
% 261.15/66.77 (39) pred(n9) = n8
% 261.15/66.77 (40) succ(n3) = n4
% 261.15/66.77 (41) pred(all_4_96) = all_4_60
% 261.15/66.77 (42) succ(all_4_96) = all_4_62
% 261.15/66.77 (43) pred(n3) = n2
% 261.15/66.77 (44) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.77 (45) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.77 (46) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.77 (47) pred(all_4_93) = all_4_47
% 261.15/66.77 (48) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.77 (49) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.77 (50) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.77 (51) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.77 (52) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.77 (53) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.77 (54) all_4_99 = n9
% 261.15/66.77 (55) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.77 (56) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.77 (57) sum(n6, n6) = n1
% 261.15/66.77 (58) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.77 (59) succ(n5) = n6
% 261.15/66.77 (60) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.77 (61) succ(n4) = n5
% 261.15/66.77 (62) succ(all_4_98) = all_4_70
% 261.15/66.77 (63) pred(all_4_90) = all_4_36
% 261.15/66.77 (64) pred(n1) = n0
% 261.15/66.77 (65) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.77 (66) succ(all_4_97) = all_4_59
% 261.15/66.77 (67) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.77 (68) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.77 (69) sum(n7, n7) = n3
% 261.15/66.77 (70) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.77 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.77 | ~ (pred(v2) = v0))
% 261.15/66.77 (72) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.77 (73) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.77 (74) succ(all_4_93) = all_4_43
% 261.15/66.77 (75) pred(all_4_98) = all_4_68
% 261.15/66.77 (76) pred(all_4_94) = all_4_52
% 261.15/66.77
% 261.15/66.77 Begin of proof
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (9), (75) imply:
% 261.15/66.77 | (77) pred(n9) = all_4_68
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (22), (54) imply:
% 261.15/66.77 | (78) pred(n9) = all_4_71
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (9), (62) imply:
% 261.15/66.77 | (79) succ(n9) = all_4_70
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (38), (54) imply:
% 261.15/66.77 | (80) succ(n9) = all_4_67
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (35), (54) imply:
% 261.15/66.77 | (81) sum(n10, n10) = n9
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (36) with n10, all_4_67, n9, simplifying with (10),
% 261.15/66.77 | (80) gives:
% 261.15/66.77 | (82) all_4_67 = n10
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (36) with all_4_70, all_4_67, n9, simplifying with
% 261.15/66.77 | (79), (80) gives:
% 261.15/66.77 | (83) all_4_67 = all_4_70
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (71) with n8, all_4_68, n9, simplifying with (39),
% 261.15/66.77 | (77) gives:
% 261.15/66.77 | (84) all_4_68 = n8
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (71) with all_4_71, all_4_68, n9, simplifying with
% 261.15/66.77 | (77), (78) gives:
% 261.15/66.77 | (85) all_4_68 = all_4_71
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (82), (83) imply:
% 261.15/66.77 | (86) all_4_70 = n10
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (84), (85) imply:
% 261.15/66.77 | (87) all_4_71 = n8
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (51), (82), (84) imply:
% 261.15/66.77 | (88) sum(n8, n10) = all_4_66
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (65), (84), (86) imply:
% 261.15/66.77 | (89) sum(n8, n10) = all_4_64
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (48), (82), (87) imply:
% 261.15/66.77 | (90) sum(n8, n10) = all_4_65
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (13), (86), (87) imply:
% 261.15/66.77 | (91) sum(n8, n10) = all_4_69
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (53) with n7, all_4_65, n10, n8, simplifying with
% 261.15/66.77 | (24), (90) gives:
% 261.15/66.77 | (92) all_4_65 = n7
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (53) with all_4_66, all_4_65, n10, n8, simplifying
% 261.15/66.77 | with (88), (90) gives:
% 261.15/66.77 | (93) all_4_65 = all_4_66
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (53) with all_4_66, all_4_64, n10, n8, simplifying
% 261.15/66.77 | with (88), (89) gives:
% 261.15/66.77 | (94) all_4_64 = all_4_66
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (53) with all_4_69, all_4_64, n10, n8, simplifying
% 261.15/66.77 | with (89), (91) gives:
% 261.15/66.77 | (95) all_4_64 = all_4_69
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (94), (95) imply:
% 261.15/66.77 | (96) all_4_66 = all_4_69
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (96) implies:
% 261.15/66.77 | (97) all_4_66 = all_4_69
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (92), (93) imply:
% 261.15/66.77 | (98) all_4_66 = n7
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (98) implies:
% 261.15/66.77 | (99) all_4_66 = n7
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (97), (99) imply:
% 261.15/66.77 | (100) all_4_69 = n7
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (95), (100) imply:
% 261.15/66.77 | (101) all_4_64 = n7
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (33), (92), (101) imply:
% 261.15/66.77 | (102) sum(n7, n7) = all_4_96
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (60), (99), (100) imply:
% 261.15/66.77 | (103) sum(n7, n7) = all_4_97
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (53) with n3, all_4_96, n7, n7, simplifying with
% 261.15/66.77 | (69), (102) gives:
% 261.15/66.77 | (104) all_4_96 = n3
% 261.15/66.77 |
% 261.15/66.77 | GROUND_INST: instantiating (53) with all_4_97, all_4_96, n7, n7, simplifying
% 261.15/66.77 | with (102), (103) gives:
% 261.15/66.77 | (105) all_4_96 = all_4_97
% 261.15/66.77 |
% 261.15/66.77 | COMBINE_EQS: (104), (105) imply:
% 261.15/66.77 | (106) all_4_97 = n3
% 261.15/66.77 |
% 261.15/66.77 | SIMP: (106) implies:
% 261.15/66.77 | (107) all_4_97 = n3
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (41), (104) imply:
% 261.15/66.77 | (108) pred(n3) = all_4_60
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (37), (107) imply:
% 261.15/66.77 | (109) pred(n3) = all_4_63
% 261.15/66.77 |
% 261.15/66.77 | REDUCE: (42), (104) imply:
% 261.15/66.78 | (110) succ(n3) = all_4_62
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (66), (107) imply:
% 261.15/66.78 | (111) succ(n3) = all_4_59
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with n4, all_4_59, n3, simplifying with (40),
% 261.15/66.78 | (111) gives:
% 261.15/66.78 | (112) all_4_59 = n4
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with all_4_62, all_4_59, n3, simplifying with
% 261.15/66.78 | (110), (111) gives:
% 261.15/66.78 | (113) all_4_59 = all_4_62
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with n2, all_4_60, n3, simplifying with (43),
% 261.15/66.78 | (108) gives:
% 261.15/66.78 | (114) all_4_60 = n2
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with all_4_63, all_4_60, n3, simplifying with
% 261.15/66.78 | (108), (109) gives:
% 261.15/66.78 | (115) all_4_60 = all_4_63
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (112), (113) imply:
% 261.15/66.78 | (116) all_4_62 = n4
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (114), (115) imply:
% 261.15/66.78 | (117) all_4_63 = n2
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (49), (112), (114) imply:
% 261.15/66.78 | (118) sum(n2, n4) = all_4_58
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (12), (114), (116) imply:
% 261.15/66.78 | (119) sum(n2, n4) = all_4_56
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (17), (112), (117) imply:
% 261.15/66.78 | (120) sum(n2, n4) = all_4_57
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (18), (116), (117) imply:
% 261.15/66.78 | (121) sum(n2, n4) = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n6, all_4_57, n4, n2, simplifying with
% 261.15/66.78 | (15), (120) gives:
% 261.15/66.78 | (122) all_4_57 = n6
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_58, all_4_57, n4, n2, simplifying
% 261.15/66.78 | with (118), (120) gives:
% 261.15/66.78 | (123) all_4_57 = all_4_58
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_57, all_4_56, n4, n2, simplifying
% 261.15/66.78 | with (119), (120) gives:
% 261.15/66.78 | (124) all_4_56 = all_4_57
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_61, all_4_56, n4, n2, simplifying
% 261.15/66.78 | with (119), (121) gives:
% 261.15/66.78 | (125) all_4_56 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (124), (125) imply:
% 261.15/66.78 | (126) all_4_57 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (126) implies:
% 261.15/66.78 | (127) all_4_57 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (122), (123) imply:
% 261.15/66.78 | (128) all_4_58 = n6
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (123), (127) imply:
% 261.15/66.78 | (129) all_4_58 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.78 | (130) all_4_61 = n6
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (125), (130) imply:
% 261.15/66.78 | (131) all_4_56 = n6
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (25), (122), (131) imply:
% 261.15/66.78 | (132) sum(n6, n6) = all_4_94
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (68), (128), (130) imply:
% 261.15/66.78 | (133) sum(n6, n6) = all_4_95
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n1, all_4_94, n6, n6, simplifying with
% 261.15/66.78 | (57), (132) gives:
% 261.15/66.78 | (134) all_4_94 = n1
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_95, all_4_94, n6, n6, simplifying
% 261.15/66.78 | with (132), (133) gives:
% 261.15/66.78 | (135) all_4_94 = all_4_95
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (134), (135) imply:
% 261.15/66.78 | (136) all_4_95 = n1
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (76), (134) imply:
% 261.15/66.78 | (137) pred(n1) = all_4_52
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (7), (136) imply:
% 261.15/66.78 | (138) pred(n1) = all_4_55
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (19), (134) imply:
% 261.15/66.78 | (139) succ(n1) = all_4_54
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (1), (136) imply:
% 261.15/66.78 | (140) succ(n1) = all_4_51
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with n2, all_4_51, n1, simplifying with (2),
% 261.15/66.78 | (140) gives:
% 261.15/66.78 | (141) all_4_51 = n2
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with all_4_54, all_4_51, n1, simplifying with
% 261.15/66.78 | (139), (140) gives:
% 261.15/66.78 | (142) all_4_51 = all_4_54
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with n0, all_4_52, n1, simplifying with (64),
% 261.15/66.78 | (137) gives:
% 261.15/66.78 | (143) all_4_52 = n0
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with all_4_55, all_4_52, n1, simplifying with
% 261.15/66.78 | (137), (138) gives:
% 261.15/66.78 | (144) all_4_52 = all_4_55
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (141), (142) imply:
% 261.15/66.78 | (145) all_4_54 = n2
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.78 | (146) all_4_55 = n0
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (146) implies:
% 261.15/66.78 | (147) all_4_55 = n0
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (72), (141), (143) imply:
% 261.15/66.78 | (148) sum(n0, n2) = all_4_50
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (11), (143), (145) imply:
% 261.15/66.78 | (149) sum(n0, n2) = all_4_48
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (44), (141), (147) imply:
% 261.15/66.78 | (150) sum(n0, n2) = all_4_49
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (14), (145), (147) imply:
% 261.15/66.78 | (151) sum(n0, n2) = all_4_53
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n2, all_4_49, n2, n0, simplifying with
% 261.15/66.78 | (26), (150) gives:
% 261.15/66.78 | (152) all_4_49 = n2
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_50, all_4_49, n2, n0, simplifying
% 261.15/66.78 | with (148), (150) gives:
% 261.15/66.78 | (153) all_4_49 = all_4_50
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_49, all_4_48, n2, n0, simplifying
% 261.15/66.78 | with (149), (150) gives:
% 261.15/66.78 | (154) all_4_48 = all_4_49
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_53, all_4_48, n2, n0, simplifying
% 261.15/66.78 | with (149), (151) gives:
% 261.15/66.78 | (155) all_4_48 = all_4_53
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (154), (155) imply:
% 261.15/66.78 | (156) all_4_49 = all_4_53
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (156) implies:
% 261.15/66.78 | (157) all_4_49 = all_4_53
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (152), (153) imply:
% 261.15/66.78 | (158) all_4_50 = n2
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (153), (157) imply:
% 261.15/66.78 | (159) all_4_50 = all_4_53
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (158), (159) imply:
% 261.15/66.78 | (160) all_4_53 = n2
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (155), (160) imply:
% 261.15/66.78 | (161) all_4_48 = n2
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (70), (152), (161) imply:
% 261.15/66.78 | (162) sum(n2, n2) = all_4_92
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (73), (158), (160) imply:
% 261.15/66.78 | (163) sum(n2, n2) = all_4_93
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n4, all_4_92, n2, n2, simplifying with
% 261.15/66.78 | (6), (162) gives:
% 261.15/66.78 | (164) all_4_92 = n4
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_93, all_4_92, n2, n2, simplifying
% 261.15/66.78 | with (162), (163) gives:
% 261.15/66.78 | (165) all_4_92 = all_4_93
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (164), (165) imply:
% 261.15/66.78 | (166) all_4_93 = n4
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (166) implies:
% 261.15/66.78 | (167) all_4_93 = n4
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (32), (164) imply:
% 261.15/66.78 | (168) pred(n4) = all_4_44
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (47), (167) imply:
% 261.15/66.78 | (169) pred(n4) = all_4_47
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (5), (164) imply:
% 261.15/66.78 | (170) succ(n4) = all_4_46
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (74), (167) imply:
% 261.15/66.78 | (171) succ(n4) = all_4_43
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with n5, all_4_43, n4, simplifying with (61),
% 261.15/66.78 | (171) gives:
% 261.15/66.78 | (172) all_4_43 = n5
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with all_4_46, all_4_43, n4, simplifying with
% 261.15/66.78 | (170), (171) gives:
% 261.15/66.78 | (173) all_4_43 = all_4_46
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with n3, all_4_44, n4, simplifying with (34),
% 261.15/66.78 | (168) gives:
% 261.15/66.78 | (174) all_4_44 = n3
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with all_4_47, all_4_44, n4, simplifying with
% 261.15/66.78 | (168), (169) gives:
% 261.15/66.78 | (175) all_4_44 = all_4_47
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (172), (173) imply:
% 261.15/66.78 | (176) all_4_46 = n5
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (174), (175) imply:
% 261.15/66.78 | (177) all_4_47 = n3
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (58), (172), (174) imply:
% 261.15/66.78 | (178) sum(n3, n5) = all_4_42
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (8), (174), (176) imply:
% 261.15/66.78 | (179) sum(n3, n5) = all_4_40
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (29), (172), (177) imply:
% 261.15/66.78 | (180) sum(n3, n5) = all_4_41
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (46), (176), (177) imply:
% 261.15/66.78 | (181) sum(n3, n5) = all_4_45
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n8, all_4_41, n5, n3, simplifying with
% 261.15/66.78 | (28), (180) gives:
% 261.15/66.78 | (182) all_4_41 = n8
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_42, all_4_41, n5, n3, simplifying
% 261.15/66.78 | with (178), (180) gives:
% 261.15/66.78 | (183) all_4_41 = all_4_42
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_41, all_4_40, n5, n3, simplifying
% 261.15/66.78 | with (179), (180) gives:
% 261.15/66.78 | (184) all_4_40 = all_4_41
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_45, all_4_40, n5, n3, simplifying
% 261.15/66.78 | with (179), (181) gives:
% 261.15/66.78 | (185) all_4_40 = all_4_45
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (184), (185) imply:
% 261.15/66.78 | (186) all_4_41 = all_4_45
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (186) implies:
% 261.15/66.78 | (187) all_4_41 = all_4_45
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (182), (183) imply:
% 261.15/66.78 | (188) all_4_42 = n8
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (183), (187) imply:
% 261.15/66.78 | (189) all_4_42 = all_4_45
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (188), (189) imply:
% 261.15/66.78 | (190) all_4_45 = n8
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (190) implies:
% 261.15/66.78 | (191) all_4_45 = n8
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (185), (191) imply:
% 261.15/66.78 | (192) all_4_40 = n8
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (50), (182), (192) imply:
% 261.15/66.78 | (193) sum(n8, n8) = all_4_90
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (55), (188), (191) imply:
% 261.15/66.78 | (194) sum(n8, n8) = all_4_91
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n5, all_4_90, n8, n8, simplifying with
% 261.15/66.78 | (21), (193) gives:
% 261.15/66.78 | (195) all_4_90 = n5
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_91, all_4_90, n8, n8, simplifying
% 261.15/66.78 | with (193), (194) gives:
% 261.15/66.78 | (196) all_4_90 = all_4_91
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (195), (196) imply:
% 261.15/66.78 | (197) all_4_91 = n5
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (197) implies:
% 261.15/66.78 | (198) all_4_91 = n5
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (63), (195) imply:
% 261.15/66.78 | (199) pred(n5) = all_4_36
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (31), (198) imply:
% 261.15/66.78 | (200) pred(n5) = all_4_39
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (23), (195) imply:
% 261.15/66.78 | (201) succ(n5) = all_4_38
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (3), (198) imply:
% 261.15/66.78 | (202) succ(n5) = all_4_35
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with n6, all_4_35, n5, simplifying with (59),
% 261.15/66.78 | (202) gives:
% 261.15/66.78 | (203) all_4_35 = n6
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (36) with all_4_38, all_4_35, n5, simplifying with
% 261.15/66.78 | (201), (202) gives:
% 261.15/66.78 | (204) all_4_35 = all_4_38
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with n4, all_4_36, n5, simplifying with (30),
% 261.15/66.78 | (199) gives:
% 261.15/66.78 | (205) all_4_36 = n4
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (71) with all_4_39, all_4_36, n5, simplifying with
% 261.15/66.78 | (199), (200) gives:
% 261.15/66.78 | (206) all_4_36 = all_4_39
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (203), (204) imply:
% 261.15/66.78 | (207) all_4_38 = n6
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (205), (206) imply:
% 261.15/66.78 | (208) all_4_39 = n4
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (45), (203), (205) imply:
% 261.15/66.78 | (209) sum(n4, n6) = all_4_34
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (67), (205), (207) imply:
% 261.15/66.78 | (210) sum(n4, n6) = all_4_32
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (52), (203), (208) imply:
% 261.15/66.78 | (211) sum(n4, n6) = all_4_33
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (56), (207), (208) imply:
% 261.15/66.78 | (212) sum(n4, n6) = all_4_37
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n10, all_4_33, n6, n4, simplifying with
% 261.15/66.78 | (4), (211) gives:
% 261.15/66.78 | (213) all_4_33 = n10
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_34, all_4_33, n6, n4, simplifying
% 261.15/66.78 | with (209), (211) gives:
% 261.15/66.78 | (214) all_4_33 = all_4_34
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_33, all_4_32, n6, n4, simplifying
% 261.15/66.78 | with (210), (211) gives:
% 261.15/66.78 | (215) all_4_32 = all_4_33
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_37, all_4_32, n6, n4, simplifying
% 261.15/66.78 | with (210), (212) gives:
% 261.15/66.78 | (216) all_4_32 = all_4_37
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (215), (216) imply:
% 261.15/66.78 | (217) all_4_33 = all_4_37
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (217) implies:
% 261.15/66.78 | (218) all_4_33 = all_4_37
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (213), (214) imply:
% 261.15/66.78 | (219) all_4_34 = n10
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (214), (218) imply:
% 261.15/66.78 | (220) all_4_34 = all_4_37
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (219), (220) imply:
% 261.15/66.78 | (221) all_4_37 = n10
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (216), (221) imply:
% 261.15/66.78 | (222) all_4_32 = n10
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (27), (213), (222) imply:
% 261.15/66.78 | (223) sum(n10, n10) = all_4_88
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (20), (219), (221) imply:
% 261.15/66.78 | (224) sum(n10, n10) = all_4_89
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with n9, all_4_88, n10, n10, simplifying with
% 261.15/66.78 | (81), (223) gives:
% 261.15/66.78 | (225) all_4_88 = n9
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (53) with all_4_89, all_4_88, n10, n10, simplifying
% 261.15/66.78 | with (223), (224) gives:
% 261.15/66.78 | (226) all_4_88 = all_4_89
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (225), (226) imply:
% 261.15/66.78 | (227) all_4_89 = n9
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (16), (225), (227) imply:
% 261.15/66.78 | (228) $false
% 261.15/66.78 |
% 261.15/66.78 | CLOSE: (228) is inconsistent.
% 261.15/66.78 |
% 261.15/66.78 End of proof
% 261.15/66.78
% 261.15/66.78 Sub-proof #131 shows that the following formulas are inconsistent:
% 261.15/66.78 ----------------------------------------------------------------
% 261.15/66.78 (1) succ(all_4_95) = all_4_51
% 261.15/66.78 (2) succ(all_4_91) = all_4_35
% 261.15/66.78 (3) succ(all_4_92) = all_4_46
% 261.15/66.78 (4) all_4_99 = n0
% 261.15/66.78 (5) pred(all_4_95) = all_4_55
% 261.15/66.78 (6) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.78 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.78 (8) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.78 (9) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.78 (10) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.78 (11) ~ (all_4_88 = all_4_89)
% 261.15/66.78 (12) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.78 (13) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.78 (14) succ(all_4_94) = all_4_54
% 261.15/66.78 (15) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.78 (16) sum(n10, n1) = n0
% 261.15/66.78 (17) pred(all_4_99) = all_4_71
% 261.15/66.78 (18) succ(all_4_90) = all_4_38
% 261.15/66.78 (19) all_4_98 = n0
% 261.15/66.78 (20) succ(n0) = n1
% 261.15/66.78 (21) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.78 (22) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.78 (23) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.78 (24) pred(all_4_91) = all_4_39
% 261.15/66.78 (25) pred(all_4_92) = all_4_44
% 261.15/66.78 (26) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.78 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.78 | ~ (succ(v2) = v0))
% 261.15/66.78 (28) pred(all_4_97) = all_4_63
% 261.15/66.78 (29) succ(all_4_99) = all_4_67
% 261.15/66.78 (30) pred(all_4_96) = all_4_60
% 261.15/66.78 (31) succ(all_4_96) = all_4_62
% 261.15/66.78 (32) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.78 (33) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.78 (34) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.78 (35) pred(all_4_93) = all_4_47
% 261.15/66.78 (36) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.78 (37) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.78 (38) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.78 (39) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.78 (40) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.78 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.78 (42) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.78 (43) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.78 (44) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.78 (45) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.78 (46) sum(n0, n0) = all_4_99
% 261.15/66.78 (47) succ(all_4_98) = all_4_70
% 261.15/66.78 (48) pred(all_4_90) = all_4_36
% 261.15/66.78 (49) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.78 (50) succ(all_4_97) = all_4_59
% 261.15/66.78 (51) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.78 (52) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.78 (53) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.78 (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.78 | ~ (pred(v2) = v0))
% 261.15/66.78 (55) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.78 (56) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.78 (57) succ(all_4_93) = all_4_43
% 261.15/66.78 (58) pred(all_4_98) = all_4_68
% 261.15/66.78 (59) pred(n0) = n10
% 261.15/66.78 (60) pred(all_4_94) = all_4_52
% 261.15/66.78
% 261.15/66.78 Begin of proof
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (19), (58) imply:
% 261.15/66.78 | (61) pred(n0) = all_4_68
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (4), (17) imply:
% 261.15/66.78 | (62) pred(n0) = all_4_71
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (19), (47) imply:
% 261.15/66.78 | (63) succ(n0) = all_4_70
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (4), (29) imply:
% 261.15/66.78 | (64) succ(n0) = all_4_67
% 261.15/66.78 |
% 261.15/66.78 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 261.15/66.78 | (13), (14), (15), (16), (18), (20), (21), (22), (23), (24), (25),
% 261.15/66.78 | (26), (27), (28), (30), (31), (32), (33), (34), (35), (36), (37),
% 261.15/66.78 | (38), (39), (40), (41), (42), (43), (44), (45), (46), (48), (49),
% 261.15/66.78 | (50), (51), (52), (53), (54), (55), (56), (57), (59), (60), (61),
% 261.15/66.78 | (62), (63), (64) are inconsistent by sub-proof #132.
% 261.15/66.78 |
% 261.15/66.78 End of proof
% 261.15/66.78
% 261.15/66.78 Sub-proof #132 shows that the following formulas are inconsistent:
% 261.15/66.78 ----------------------------------------------------------------
% 261.15/66.78 (1) succ(all_4_95) = all_4_51
% 261.15/66.78 (2) succ(all_4_91) = all_4_35
% 261.15/66.78 (3) succ(all_4_92) = all_4_46
% 261.15/66.78 (4) all_4_99 = n0
% 261.15/66.78 (5) pred(all_4_95) = all_4_55
% 261.15/66.78 (6) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.78 (7) succ(n0) = all_4_70
% 261.15/66.78 (8) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.78 (9) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.78 (10) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.78 (11) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.78 (12) ~ (all_4_88 = all_4_89)
% 261.15/66.78 (13) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.78 (14) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.78 (15) succ(all_4_94) = all_4_54
% 261.15/66.78 (16) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.78 (17) succ(n0) = all_4_67
% 261.15/66.78 (18) sum(n10, n1) = n0
% 261.15/66.78 (19) succ(all_4_90) = all_4_38
% 261.15/66.78 (20) succ(n0) = n1
% 261.15/66.78 (21) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.78 (22) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.78 (23) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.78 (24) pred(all_4_91) = all_4_39
% 261.15/66.78 (25) pred(all_4_92) = all_4_44
% 261.15/66.78 (26) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.78 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.78 | ~ (succ(v2) = v0))
% 261.15/66.78 (28) pred(all_4_97) = all_4_63
% 261.15/66.78 (29) pred(all_4_96) = all_4_60
% 261.15/66.78 (30) succ(all_4_96) = all_4_62
% 261.15/66.78 (31) pred(n0) = all_4_71
% 261.15/66.78 (32) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.78 (33) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.78 (34) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.78 (35) pred(all_4_93) = all_4_47
% 261.15/66.78 (36) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.78 (37) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.78 (38) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.78 (39) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.78 (40) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.78 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.78 (42) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.78 (43) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.78 (44) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.78 (45) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.78 (46) sum(n0, n0) = all_4_99
% 261.15/66.78 (47) pred(all_4_90) = all_4_36
% 261.15/66.78 (48) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.78 (49) succ(all_4_97) = all_4_59
% 261.15/66.78 (50) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.78 (51) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.78 (52) pred(n0) = all_4_68
% 261.15/66.78 (53) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.78 (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.78 | ~ (pred(v2) = v0))
% 261.15/66.78 (55) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.78 (56) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.78 (57) succ(all_4_93) = all_4_43
% 261.15/66.78 (58) pred(n0) = n10
% 261.15/66.78 (59) pred(all_4_94) = all_4_52
% 261.15/66.78
% 261.15/66.78 Begin of proof
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (4), (46) imply:
% 261.15/66.78 | (60) sum(n0, n0) = n0
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (27) with n1, all_4_67, n0, simplifying with (17),
% 261.15/66.78 | (20) gives:
% 261.15/66.78 | (61) all_4_67 = n1
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (27) with all_4_70, all_4_67, n0, simplifying with
% 261.15/66.78 | (7), (17) gives:
% 261.15/66.78 | (62) all_4_67 = all_4_70
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (54) with n10, all_4_68, n0, simplifying with (52),
% 261.15/66.78 | (58) gives:
% 261.15/66.78 | (63) all_4_68 = n10
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (54) with all_4_71, all_4_68, n0, simplifying with
% 261.15/66.78 | (31), (52) gives:
% 261.15/66.78 | (64) all_4_68 = all_4_71
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (61), (62) imply:
% 261.15/66.78 | (65) all_4_70 = n1
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (63), (64) imply:
% 261.15/66.78 | (66) all_4_71 = n10
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (39), (61), (63) imply:
% 261.15/66.78 | (67) sum(n10, n1) = all_4_66
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (48), (63), (65) imply:
% 261.15/66.78 | (68) sum(n10, n1) = all_4_64
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (36), (61), (66) imply:
% 261.15/66.78 | (69) sum(n10, n1) = all_4_65
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (10), (65), (66) imply:
% 261.15/66.78 | (70) sum(n10, n1) = all_4_69
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with n0, all_4_65, n1, n10, simplifying with
% 261.15/66.78 | (18), (69) gives:
% 261.15/66.78 | (71) all_4_65 = n0
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_66, all_4_65, n1, n10, simplifying
% 261.15/66.78 | with (67), (69) gives:
% 261.15/66.78 | (72) all_4_65 = all_4_66
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_66, all_4_64, n1, n10, simplifying
% 261.15/66.78 | with (67), (68) gives:
% 261.15/66.78 | (73) all_4_64 = all_4_66
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_69, all_4_64, n1, n10, simplifying
% 261.15/66.78 | with (68), (70) gives:
% 261.15/66.78 | (74) all_4_64 = all_4_69
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (73), (74) imply:
% 261.15/66.78 | (75) all_4_66 = all_4_69
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (75) implies:
% 261.15/66.78 | (76) all_4_66 = all_4_69
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (71), (72) imply:
% 261.15/66.78 | (77) all_4_66 = n0
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (77) implies:
% 261.15/66.78 | (78) all_4_66 = n0
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (76), (78) imply:
% 261.15/66.78 | (79) all_4_69 = n0
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (74), (79) imply:
% 261.15/66.78 | (80) all_4_64 = n0
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (26), (71), (80) imply:
% 261.15/66.78 | (81) sum(n0, n0) = all_4_96
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (45), (78), (79) imply:
% 261.15/66.78 | (82) sum(n0, n0) = all_4_97
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with n0, all_4_96, n0, n0, simplifying with
% 261.15/66.78 | (60), (81) gives:
% 261.15/66.78 | (83) all_4_96 = n0
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_97, all_4_96, n0, n0, simplifying
% 261.15/66.78 | with (81), (82) gives:
% 261.15/66.78 | (84) all_4_96 = all_4_97
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (83), (84) imply:
% 261.15/66.78 | (85) all_4_97 = n0
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (85) implies:
% 261.15/66.78 | (86) all_4_97 = n0
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (29), (83) imply:
% 261.15/66.78 | (87) pred(n0) = all_4_60
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (28), (86) imply:
% 261.15/66.78 | (88) pred(n0) = all_4_63
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (30), (83) imply:
% 261.15/66.78 | (89) succ(n0) = all_4_62
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (49), (86) imply:
% 261.15/66.78 | (90) succ(n0) = all_4_59
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (27) with n1, all_4_59, n0, simplifying with (20),
% 261.15/66.78 | (90) gives:
% 261.15/66.78 | (91) all_4_59 = n1
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (27) with all_4_62, all_4_59, n0, simplifying with
% 261.15/66.78 | (89), (90) gives:
% 261.15/66.78 | (92) all_4_59 = all_4_62
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (54) with n10, all_4_60, n0, simplifying with (58),
% 261.15/66.78 | (87) gives:
% 261.15/66.78 | (93) all_4_60 = n10
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (54) with all_4_63, all_4_60, n0, simplifying with
% 261.15/66.78 | (87), (88) gives:
% 261.15/66.78 | (94) all_4_60 = all_4_63
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (91), (92) imply:
% 261.15/66.78 | (95) all_4_62 = n1
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (93), (94) imply:
% 261.15/66.78 | (96) all_4_63 = n10
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (37), (91), (93) imply:
% 261.15/66.78 | (97) sum(n10, n1) = all_4_58
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (9), (93), (95) imply:
% 261.15/66.78 | (98) sum(n10, n1) = all_4_56
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (13), (91), (96) imply:
% 261.15/66.78 | (99) sum(n10, n1) = all_4_57
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (14), (95), (96) imply:
% 261.15/66.78 | (100) sum(n10, n1) = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with n0, all_4_57, n1, n10, simplifying with
% 261.15/66.78 | (18), (99) gives:
% 261.15/66.78 | (101) all_4_57 = n0
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_58, all_4_57, n1, n10, simplifying
% 261.15/66.78 | with (97), (99) gives:
% 261.15/66.78 | (102) all_4_57 = all_4_58
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_57, all_4_56, n1, n10, simplifying
% 261.15/66.78 | with (98), (99) gives:
% 261.15/66.78 | (103) all_4_56 = all_4_57
% 261.15/66.78 |
% 261.15/66.78 | GROUND_INST: instantiating (41) with all_4_61, all_4_56, n1, n10, simplifying
% 261.15/66.78 | with (98), (100) gives:
% 261.15/66.78 | (104) all_4_56 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (103), (104) imply:
% 261.15/66.78 | (105) all_4_57 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | SIMP: (105) implies:
% 261.15/66.78 | (106) all_4_57 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (101), (102) imply:
% 261.15/66.78 | (107) all_4_58 = n0
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (102), (106) imply:
% 261.15/66.78 | (108) all_4_58 = all_4_61
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (107), (108) imply:
% 261.15/66.78 | (109) all_4_61 = n0
% 261.15/66.78 |
% 261.15/66.78 | COMBINE_EQS: (104), (109) imply:
% 261.15/66.78 | (110) all_4_56 = n0
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (21), (101), (110) imply:
% 261.15/66.78 | (111) sum(n0, n0) = all_4_94
% 261.15/66.78 |
% 261.15/66.78 | REDUCE: (51), (107), (109) imply:
% 261.15/66.78 | (112) sum(n0, n0) = all_4_95
% 261.15/66.78 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_94, n0, n0, simplifying with
% 261.15/66.79 | (60), (111) gives:
% 261.15/66.79 | (113) all_4_94 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_95, all_4_94, n0, n0, simplifying
% 261.15/66.79 | with (111), (112) gives:
% 261.15/66.79 | (114) all_4_94 = all_4_95
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (113), (114) imply:
% 261.15/66.79 | (115) all_4_95 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (59), (113) imply:
% 261.15/66.79 | (116) pred(n0) = all_4_52
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (5), (115) imply:
% 261.15/66.79 | (117) pred(n0) = all_4_55
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (15), (113) imply:
% 261.15/66.79 | (118) succ(n0) = all_4_54
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (1), (115) imply:
% 261.15/66.79 | (119) succ(n0) = all_4_51
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (27) with n1, all_4_51, n0, simplifying with (20),
% 261.15/66.79 | (119) gives:
% 261.15/66.79 | (120) all_4_51 = n1
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (27) with all_4_54, all_4_51, n0, simplifying with
% 261.15/66.79 | (118), (119) gives:
% 261.15/66.79 | (121) all_4_51 = all_4_54
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (54) with n10, all_4_52, n0, simplifying with (58),
% 261.15/66.79 | (116) gives:
% 261.15/66.79 | (122) all_4_52 = n10
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (54) with all_4_55, all_4_52, n0, simplifying with
% 261.15/66.79 | (116), (117) gives:
% 261.15/66.79 | (123) all_4_52 = all_4_55
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (120), (121) imply:
% 261.15/66.79 | (124) all_4_54 = n1
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (122), (123) imply:
% 261.15/66.79 | (125) all_4_55 = n10
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (125) implies:
% 261.15/66.79 | (126) all_4_55 = n10
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (55), (120), (122) imply:
% 261.15/66.79 | (127) sum(n10, n1) = all_4_50
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (8), (122), (124) imply:
% 261.15/66.79 | (128) sum(n10, n1) = all_4_48
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (32), (120), (126) imply:
% 261.15/66.79 | (129) sum(n10, n1) = all_4_49
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (11), (124), (126) imply:
% 261.15/66.79 | (130) sum(n10, n1) = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_49, n1, n10, simplifying with
% 261.15/66.79 | (18), (129) gives:
% 261.15/66.79 | (131) all_4_49 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_50, all_4_49, n1, n10, simplifying
% 261.15/66.79 | with (127), (129) gives:
% 261.15/66.79 | (132) all_4_49 = all_4_50
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_49, all_4_48, n1, n10, simplifying
% 261.15/66.79 | with (128), (129) gives:
% 261.15/66.79 | (133) all_4_48 = all_4_49
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_53, all_4_48, n1, n10, simplifying
% 261.15/66.79 | with (128), (130) gives:
% 261.15/66.79 | (134) all_4_48 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (133), (134) imply:
% 261.15/66.79 | (135) all_4_49 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (135) implies:
% 261.15/66.79 | (136) all_4_49 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (131), (132) imply:
% 261.15/66.79 | (137) all_4_50 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (132), (136) imply:
% 261.15/66.79 | (138) all_4_50 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (137), (138) imply:
% 261.15/66.79 | (139) all_4_53 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (134), (139) imply:
% 261.15/66.79 | (140) all_4_48 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (53), (131), (140) imply:
% 261.15/66.79 | (141) sum(n0, n0) = all_4_92
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (56), (137), (139) imply:
% 261.15/66.79 | (142) sum(n0, n0) = all_4_93
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_92, n0, n0, simplifying with
% 261.15/66.79 | (60), (141) gives:
% 261.15/66.79 | (143) all_4_92 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_93, all_4_92, n0, n0, simplifying
% 261.15/66.79 | with (141), (142) gives:
% 261.15/66.79 | (144) all_4_92 = all_4_93
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.79 | (145) all_4_93 = n0
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (145) implies:
% 261.15/66.79 | (146) all_4_93 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (25), (143) imply:
% 261.15/66.79 | (147) pred(n0) = all_4_44
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (35), (146) imply:
% 261.15/66.79 | (148) pred(n0) = all_4_47
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (3), (143) imply:
% 261.15/66.79 | (149) succ(n0) = all_4_46
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (57), (146) imply:
% 261.15/66.79 | (150) succ(n0) = all_4_43
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (27) with n1, all_4_43, n0, simplifying with (20),
% 261.15/66.79 | (150) gives:
% 261.15/66.79 | (151) all_4_43 = n1
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (27) with all_4_46, all_4_43, n0, simplifying with
% 261.15/66.79 | (149), (150) gives:
% 261.15/66.79 | (152) all_4_43 = all_4_46
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (54) with n10, all_4_44, n0, simplifying with (58),
% 261.15/66.79 | (147) gives:
% 261.15/66.79 | (153) all_4_44 = n10
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (54) with all_4_47, all_4_44, n0, simplifying with
% 261.15/66.79 | (147), (148) gives:
% 261.15/66.79 | (154) all_4_44 = all_4_47
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (151), (152) imply:
% 261.15/66.79 | (155) all_4_46 = n1
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (153), (154) imply:
% 261.15/66.79 | (156) all_4_47 = n10
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (44), (151), (153) imply:
% 261.15/66.79 | (157) sum(n10, n1) = all_4_42
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (6), (153), (155) imply:
% 261.15/66.79 | (158) sum(n10, n1) = all_4_40
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (23), (151), (156) imply:
% 261.15/66.79 | (159) sum(n10, n1) = all_4_41
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (34), (155), (156) imply:
% 261.15/66.79 | (160) sum(n10, n1) = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_41, n1, n10, simplifying with
% 261.15/66.79 | (18), (159) gives:
% 261.15/66.79 | (161) all_4_41 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_42, all_4_41, n1, n10, simplifying
% 261.15/66.79 | with (157), (159) gives:
% 261.15/66.79 | (162) all_4_41 = all_4_42
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_41, all_4_40, n1, n10, simplifying
% 261.15/66.79 | with (158), (159) gives:
% 261.15/66.79 | (163) all_4_40 = all_4_41
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_45, all_4_40, n1, n10, simplifying
% 261.15/66.79 | with (158), (160) gives:
% 261.15/66.79 | (164) all_4_40 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (163), (164) imply:
% 261.15/66.79 | (165) all_4_41 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (165) implies:
% 261.15/66.79 | (166) all_4_41 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (161), (162) imply:
% 261.15/66.79 | (167) all_4_42 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (162), (166) imply:
% 261.15/66.79 | (168) all_4_42 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (167), (168) imply:
% 261.15/66.79 | (169) all_4_45 = n0
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (169) implies:
% 261.15/66.79 | (170) all_4_45 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (164), (170) imply:
% 261.15/66.79 | (171) all_4_40 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (38), (161), (171) imply:
% 261.15/66.79 | (172) sum(n0, n0) = all_4_90
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (42), (167), (170) imply:
% 261.15/66.79 | (173) sum(n0, n0) = all_4_91
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_90, n0, n0, simplifying with
% 261.15/66.79 | (60), (172) gives:
% 261.15/66.79 | (174) all_4_90 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_91, all_4_90, n0, n0, simplifying
% 261.15/66.79 | with (172), (173) gives:
% 261.15/66.79 | (175) all_4_90 = all_4_91
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (174), (175) imply:
% 261.15/66.79 | (176) all_4_91 = n0
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (176) implies:
% 261.15/66.79 | (177) all_4_91 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (47), (174) imply:
% 261.15/66.79 | (178) pred(n0) = all_4_36
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (24), (177) imply:
% 261.15/66.79 | (179) pred(n0) = all_4_39
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (19), (174) imply:
% 261.15/66.79 | (180) succ(n0) = all_4_38
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (2), (177) imply:
% 261.15/66.79 | (181) succ(n0) = all_4_35
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (27) with n1, all_4_35, n0, simplifying with (20),
% 261.15/66.79 | (181) gives:
% 261.15/66.79 | (182) all_4_35 = n1
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (27) with all_4_38, all_4_35, n0, simplifying with
% 261.15/66.79 | (180), (181) gives:
% 261.15/66.79 | (183) all_4_35 = all_4_38
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (54) with n10, all_4_36, n0, simplifying with (58),
% 261.15/66.79 | (178) gives:
% 261.15/66.79 | (184) all_4_36 = n10
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (54) with all_4_39, all_4_36, n0, simplifying with
% 261.15/66.79 | (178), (179) gives:
% 261.15/66.79 | (185) all_4_36 = all_4_39
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (182), (183) imply:
% 261.15/66.79 | (186) all_4_38 = n1
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (184), (185) imply:
% 261.15/66.79 | (187) all_4_39 = n10
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (33), (182), (184) imply:
% 261.15/66.79 | (188) sum(n10, n1) = all_4_34
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (50), (184), (186) imply:
% 261.15/66.79 | (189) sum(n10, n1) = all_4_32
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (40), (182), (187) imply:
% 261.15/66.79 | (190) sum(n10, n1) = all_4_33
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (43), (186), (187) imply:
% 261.15/66.79 | (191) sum(n10, n1) = all_4_37
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_33, n1, n10, simplifying with
% 261.15/66.79 | (18), (190) gives:
% 261.15/66.79 | (192) all_4_33 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_34, all_4_33, n1, n10, simplifying
% 261.15/66.79 | with (188), (190) gives:
% 261.15/66.79 | (193) all_4_33 = all_4_34
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_33, all_4_32, n1, n10, simplifying
% 261.15/66.79 | with (189), (190) gives:
% 261.15/66.79 | (194) all_4_32 = all_4_33
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_37, all_4_32, n1, n10, simplifying
% 261.15/66.79 | with (189), (191) gives:
% 261.15/66.79 | (195) all_4_32 = all_4_37
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (194), (195) imply:
% 261.15/66.79 | (196) all_4_33 = all_4_37
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (196) implies:
% 261.15/66.79 | (197) all_4_33 = all_4_37
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (192), (193) imply:
% 261.15/66.79 | (198) all_4_34 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (193), (197) imply:
% 261.15/66.79 | (199) all_4_34 = all_4_37
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (198), (199) imply:
% 261.15/66.79 | (200) all_4_37 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (195), (200) imply:
% 261.15/66.79 | (201) all_4_32 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (22), (192), (201) imply:
% 261.15/66.79 | (202) sum(n0, n0) = all_4_88
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (16), (198), (200) imply:
% 261.15/66.79 | (203) sum(n0, n0) = all_4_89
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with n0, all_4_88, n0, n0, simplifying with
% 261.15/66.79 | (60), (202) gives:
% 261.15/66.79 | (204) all_4_88 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (41) with all_4_89, all_4_88, n0, n0, simplifying
% 261.15/66.79 | with (202), (203) gives:
% 261.15/66.79 | (205) all_4_88 = all_4_89
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (204), (205) imply:
% 261.15/66.79 | (206) all_4_89 = n0
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (12), (204), (206) imply:
% 261.15/66.79 | (207) $false
% 261.15/66.79 |
% 261.15/66.79 | CLOSE: (207) is inconsistent.
% 261.15/66.79 |
% 261.15/66.79 End of proof
% 261.15/66.79
% 261.15/66.79 Sub-proof #133 shows that the following formulas are inconsistent:
% 261.15/66.79 ----------------------------------------------------------------
% 261.15/66.79 (1) succ(all_4_95) = all_4_51
% 261.15/66.79 (2) succ(all_4_91) = all_4_35
% 261.15/66.79 (3) succ(all_4_92) = all_4_46
% 261.15/66.79 (4) pred(all_4_95) = all_4_55
% 261.15/66.79 (5) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.79 (6) sum(n9, n0) = n9
% 261.15/66.79 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.79 (8) sum(n3, n3) = n6
% 261.15/66.79 (9) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.79 (10) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.79 (11) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.79 (12) ~ (all_4_88 = all_4_89)
% 261.15/66.79 (13) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.79 (14) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.79 (15) succ(all_4_94) = all_4_54
% 261.15/66.79 (16) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.79 (17) pred(n8) = n7
% 261.15/66.79 (18) pred(all_4_99) = all_4_71
% 261.15/66.79 (19) succ(all_4_90) = all_4_38
% 261.15/66.79 (20) sum(n6, n8) = n3
% 261.15/66.79 (21) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.79 (22) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.79 (23) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.79 (24) pred(all_4_91) = all_4_39
% 261.15/66.79 (25) pred(all_4_92) = all_4_44
% 261.15/66.79 (26) sum(n5, n7) = n1
% 261.15/66.79 (27) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.79 (28) succ(n10) = n0
% 261.15/66.79 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.79 | ~ (succ(v2) = v0))
% 261.15/66.79 (30) pred(all_4_97) = all_4_63
% 261.15/66.79 (31) succ(all_4_99) = all_4_67
% 261.15/66.79 (32) pred(n6) = n5
% 261.15/66.79 (33) pred(all_4_96) = all_4_60
% 261.15/66.79 (34) succ(all_4_96) = all_4_62
% 261.15/66.79 (35) all_4_98 = n2
% 261.15/66.79 (36) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.79 (37) pred(n7) = n6
% 261.15/66.79 (38) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.79 (39) succ(n7) = n8
% 261.15/66.79 (40) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.79 (41) pred(all_4_93) = all_4_47
% 261.15/66.79 (42) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.79 (43) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.79 (44) sum(n5, n5) = n10
% 261.15/66.79 (45) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.79 (46) succ(n2) = n3
% 261.15/66.79 (47) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.79 (48) succ(n6) = n7
% 261.15/66.79 (49) succ(n8) = n9
% 261.15/66.79 (50) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.79 (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.79 (52) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.79 (53) sum(n9, n9) = n7
% 261.15/66.79 (54) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.79 (55) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.79 (56) sum(n1, n1) = all_4_99
% 261.15/66.79 (57) pred(n10) = n9
% 261.15/66.79 (58) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.79 (59) sum(n7, n9) = n5
% 261.15/66.79 (60) all_4_99 = n2
% 261.15/66.79 (61) pred(n2) = n1
% 261.15/66.79 (62) succ(all_4_98) = all_4_70
% 261.15/66.79 (63) pred(all_4_90) = all_4_36
% 261.15/66.79 (64) sum(n4, n4) = n8
% 261.15/66.79 (65) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.79 (66) succ(all_4_97) = all_4_59
% 261.15/66.79 (67) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.79 (68) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.79 (69) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.79 (70) sum(n1, n3) = n4
% 261.15/66.79 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.79 | ~ (pred(v2) = v0))
% 261.15/66.79 (72) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.79 (73) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.79 (74) succ(all_4_93) = all_4_43
% 261.15/66.79 (75) pred(all_4_98) = all_4_68
% 261.15/66.79 (76) pred(all_4_94) = all_4_52
% 261.15/66.79
% 261.15/66.79 Begin of proof
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (35), (75) imply:
% 261.15/66.79 | (77) pred(n2) = all_4_68
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (18), (60) imply:
% 261.15/66.79 | (78) pred(n2) = all_4_71
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (35), (62) imply:
% 261.15/66.79 | (79) succ(n2) = all_4_70
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (31), (60) imply:
% 261.15/66.79 | (80) succ(n2) = all_4_67
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (56), (60) imply:
% 261.15/66.79 | (81) sum(n1, n1) = n2
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with n3, all_4_67, n2, simplifying with (46),
% 261.15/66.79 | (80) gives:
% 261.15/66.79 | (82) all_4_67 = n3
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with all_4_70, all_4_67, n2, simplifying with
% 261.15/66.79 | (79), (80) gives:
% 261.15/66.79 | (83) all_4_67 = all_4_70
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with n1, all_4_68, n2, simplifying with (61),
% 261.15/66.79 | (77) gives:
% 261.15/66.79 | (84) all_4_68 = n1
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with all_4_71, all_4_68, n2, simplifying with
% 261.15/66.79 | (77), (78) gives:
% 261.15/66.79 | (85) all_4_68 = all_4_71
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (82), (83) imply:
% 261.15/66.79 | (86) all_4_70 = n3
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (84), (85) imply:
% 261.15/66.79 | (87) all_4_71 = n1
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (47), (82), (84) imply:
% 261.15/66.79 | (88) sum(n1, n3) = all_4_66
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (65), (84), (86) imply:
% 261.15/66.79 | (89) sum(n1, n3) = all_4_64
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (42), (82), (87) imply:
% 261.15/66.79 | (90) sum(n1, n3) = all_4_65
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (10), (86), (87) imply:
% 261.15/66.79 | (91) sum(n1, n3) = all_4_69
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n4, all_4_65, n3, n1, simplifying with
% 261.15/66.79 | (70), (90) gives:
% 261.15/66.79 | (92) all_4_65 = n4
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_66, all_4_65, n3, n1, simplifying
% 261.15/66.79 | with (88), (90) gives:
% 261.15/66.79 | (93) all_4_65 = all_4_66
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_66, all_4_64, n3, n1, simplifying
% 261.15/66.79 | with (88), (89) gives:
% 261.15/66.79 | (94) all_4_64 = all_4_66
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_69, all_4_64, n3, n1, simplifying
% 261.15/66.79 | with (89), (91) gives:
% 261.15/66.79 | (95) all_4_64 = all_4_69
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (94), (95) imply:
% 261.15/66.79 | (96) all_4_66 = all_4_69
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (96) implies:
% 261.15/66.79 | (97) all_4_66 = all_4_69
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (92), (93) imply:
% 261.15/66.79 | (98) all_4_66 = n4
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (98) implies:
% 261.15/66.79 | (99) all_4_66 = n4
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (97), (99) imply:
% 261.15/66.79 | (100) all_4_69 = n4
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (95), (100) imply:
% 261.15/66.79 | (101) all_4_64 = n4
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (27), (92), (101) imply:
% 261.15/66.79 | (102) sum(n4, n4) = all_4_96
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (58), (99), (100) imply:
% 261.15/66.79 | (103) sum(n4, n4) = all_4_97
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n8, all_4_96, n4, n4, simplifying with
% 261.15/66.79 | (64), (102) gives:
% 261.15/66.79 | (104) all_4_96 = n8
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_97, all_4_96, n4, n4, simplifying
% 261.15/66.79 | with (102), (103) gives:
% 261.15/66.79 | (105) all_4_96 = all_4_97
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (104), (105) imply:
% 261.15/66.79 | (106) all_4_97 = n8
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (106) implies:
% 261.15/66.79 | (107) all_4_97 = n8
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (33), (104) imply:
% 261.15/66.79 | (108) pred(n8) = all_4_60
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (30), (107) imply:
% 261.15/66.79 | (109) pred(n8) = all_4_63
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (34), (104) imply:
% 261.15/66.79 | (110) succ(n8) = all_4_62
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (66), (107) imply:
% 261.15/66.79 | (111) succ(n8) = all_4_59
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with n9, all_4_59, n8, simplifying with (49),
% 261.15/66.79 | (111) gives:
% 261.15/66.79 | (112) all_4_59 = n9
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with all_4_62, all_4_59, n8, simplifying with
% 261.15/66.79 | (110), (111) gives:
% 261.15/66.79 | (113) all_4_59 = all_4_62
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with n7, all_4_60, n8, simplifying with (17),
% 261.15/66.79 | (108) gives:
% 261.15/66.79 | (114) all_4_60 = n7
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with all_4_63, all_4_60, n8, simplifying with
% 261.15/66.79 | (108), (109) gives:
% 261.15/66.79 | (115) all_4_60 = all_4_63
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (112), (113) imply:
% 261.15/66.79 | (116) all_4_62 = n9
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (114), (115) imply:
% 261.15/66.79 | (117) all_4_63 = n7
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (43), (112), (114) imply:
% 261.15/66.79 | (118) sum(n7, n9) = all_4_58
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (9), (114), (116) imply:
% 261.15/66.79 | (119) sum(n7, n9) = all_4_56
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (13), (112), (117) imply:
% 261.15/66.79 | (120) sum(n7, n9) = all_4_57
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (14), (116), (117) imply:
% 261.15/66.79 | (121) sum(n7, n9) = all_4_61
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n5, all_4_57, n9, n7, simplifying with
% 261.15/66.79 | (59), (120) gives:
% 261.15/66.79 | (122) all_4_57 = n5
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_58, all_4_57, n9, n7, simplifying
% 261.15/66.79 | with (118), (120) gives:
% 261.15/66.79 | (123) all_4_57 = all_4_58
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_57, all_4_56, n9, n7, simplifying
% 261.15/66.79 | with (119), (120) gives:
% 261.15/66.79 | (124) all_4_56 = all_4_57
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_61, all_4_56, n9, n7, simplifying
% 261.15/66.79 | with (119), (121) gives:
% 261.15/66.79 | (125) all_4_56 = all_4_61
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (124), (125) imply:
% 261.15/66.79 | (126) all_4_57 = all_4_61
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (126) implies:
% 261.15/66.79 | (127) all_4_57 = all_4_61
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (122), (123) imply:
% 261.15/66.79 | (128) all_4_58 = n5
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (123), (127) imply:
% 261.15/66.79 | (129) all_4_58 = all_4_61
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.79 | (130) all_4_61 = n5
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (125), (130) imply:
% 261.15/66.79 | (131) all_4_56 = n5
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (21), (122), (131) imply:
% 261.15/66.79 | (132) sum(n5, n5) = all_4_94
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (68), (128), (130) imply:
% 261.15/66.79 | (133) sum(n5, n5) = all_4_95
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n10, all_4_94, n5, n5, simplifying with
% 261.15/66.79 | (44), (132) gives:
% 261.15/66.79 | (134) all_4_94 = n10
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_95, all_4_94, n5, n5, simplifying
% 261.15/66.79 | with (132), (133) gives:
% 261.15/66.79 | (135) all_4_94 = all_4_95
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (134), (135) imply:
% 261.15/66.79 | (136) all_4_95 = n10
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (76), (134) imply:
% 261.15/66.79 | (137) pred(n10) = all_4_52
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (4), (136) imply:
% 261.15/66.79 | (138) pred(n10) = all_4_55
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (15), (134) imply:
% 261.15/66.79 | (139) succ(n10) = all_4_54
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (1), (136) imply:
% 261.15/66.79 | (140) succ(n10) = all_4_51
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with n0, all_4_51, n10, simplifying with (28),
% 261.15/66.79 | (140) gives:
% 261.15/66.79 | (141) all_4_51 = n0
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with all_4_54, all_4_51, n10, simplifying with
% 261.15/66.79 | (139), (140) gives:
% 261.15/66.79 | (142) all_4_51 = all_4_54
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with n9, all_4_52, n10, simplifying with (57),
% 261.15/66.79 | (137) gives:
% 261.15/66.79 | (143) all_4_52 = n9
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with all_4_55, all_4_52, n10, simplifying with
% 261.15/66.79 | (137), (138) gives:
% 261.15/66.79 | (144) all_4_52 = all_4_55
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (141), (142) imply:
% 261.15/66.79 | (145) all_4_54 = n0
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.79 | (146) all_4_55 = n9
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (146) implies:
% 261.15/66.79 | (147) all_4_55 = n9
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (72), (141), (143) imply:
% 261.15/66.79 | (148) sum(n9, n0) = all_4_50
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (7), (143), (145) imply:
% 261.15/66.79 | (149) sum(n9, n0) = all_4_48
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (36), (141), (147) imply:
% 261.15/66.79 | (150) sum(n9, n0) = all_4_49
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (11), (145), (147) imply:
% 261.15/66.79 | (151) sum(n9, n0) = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n9, all_4_49, n0, n9, simplifying with
% 261.15/66.79 | (6), (150) gives:
% 261.15/66.79 | (152) all_4_49 = n9
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_50, all_4_49, n0, n9, simplifying
% 261.15/66.79 | with (148), (150) gives:
% 261.15/66.79 | (153) all_4_49 = all_4_50
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_49, all_4_48, n0, n9, simplifying
% 261.15/66.79 | with (149), (150) gives:
% 261.15/66.79 | (154) all_4_48 = all_4_49
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_53, all_4_48, n0, n9, simplifying
% 261.15/66.79 | with (149), (151) gives:
% 261.15/66.79 | (155) all_4_48 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (154), (155) imply:
% 261.15/66.79 | (156) all_4_49 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (156) implies:
% 261.15/66.79 | (157) all_4_49 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (152), (153) imply:
% 261.15/66.79 | (158) all_4_50 = n9
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (153), (157) imply:
% 261.15/66.79 | (159) all_4_50 = all_4_53
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (158), (159) imply:
% 261.15/66.79 | (160) all_4_53 = n9
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (155), (160) imply:
% 261.15/66.79 | (161) all_4_48 = n9
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (69), (152), (161) imply:
% 261.15/66.79 | (162) sum(n9, n9) = all_4_92
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (73), (158), (160) imply:
% 261.15/66.79 | (163) sum(n9, n9) = all_4_93
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n7, all_4_92, n9, n9, simplifying with
% 261.15/66.79 | (53), (162) gives:
% 261.15/66.79 | (164) all_4_92 = n7
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_93, all_4_92, n9, n9, simplifying
% 261.15/66.79 | with (162), (163) gives:
% 261.15/66.79 | (165) all_4_92 = all_4_93
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (164), (165) imply:
% 261.15/66.79 | (166) all_4_93 = n7
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (166) implies:
% 261.15/66.79 | (167) all_4_93 = n7
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (25), (164) imply:
% 261.15/66.79 | (168) pred(n7) = all_4_44
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (41), (167) imply:
% 261.15/66.79 | (169) pred(n7) = all_4_47
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (3), (164) imply:
% 261.15/66.79 | (170) succ(n7) = all_4_46
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (74), (167) imply:
% 261.15/66.79 | (171) succ(n7) = all_4_43
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with n8, all_4_43, n7, simplifying with (39),
% 261.15/66.79 | (171) gives:
% 261.15/66.79 | (172) all_4_43 = n8
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (29) with all_4_46, all_4_43, n7, simplifying with
% 261.15/66.79 | (170), (171) gives:
% 261.15/66.79 | (173) all_4_43 = all_4_46
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with n6, all_4_44, n7, simplifying with (37),
% 261.15/66.79 | (168) gives:
% 261.15/66.79 | (174) all_4_44 = n6
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (71) with all_4_47, all_4_44, n7, simplifying with
% 261.15/66.79 | (168), (169) gives:
% 261.15/66.79 | (175) all_4_44 = all_4_47
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (172), (173) imply:
% 261.15/66.79 | (176) all_4_46 = n8
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (174), (175) imply:
% 261.15/66.79 | (177) all_4_47 = n6
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (55), (172), (174) imply:
% 261.15/66.79 | (178) sum(n6, n8) = all_4_42
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (5), (174), (176) imply:
% 261.15/66.79 | (179) sum(n6, n8) = all_4_40
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (23), (172), (177) imply:
% 261.15/66.79 | (180) sum(n6, n8) = all_4_41
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (40), (176), (177) imply:
% 261.15/66.79 | (181) sum(n6, n8) = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with n3, all_4_41, n8, n6, simplifying with
% 261.15/66.79 | (20), (180) gives:
% 261.15/66.79 | (182) all_4_41 = n3
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_42, all_4_41, n8, n6, simplifying
% 261.15/66.79 | with (178), (180) gives:
% 261.15/66.79 | (183) all_4_41 = all_4_42
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_41, all_4_40, n8, n6, simplifying
% 261.15/66.79 | with (179), (180) gives:
% 261.15/66.79 | (184) all_4_40 = all_4_41
% 261.15/66.79 |
% 261.15/66.79 | GROUND_INST: instantiating (51) with all_4_45, all_4_40, n8, n6, simplifying
% 261.15/66.79 | with (179), (181) gives:
% 261.15/66.79 | (185) all_4_40 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (184), (185) imply:
% 261.15/66.79 | (186) all_4_41 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (186) implies:
% 261.15/66.79 | (187) all_4_41 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (182), (183) imply:
% 261.15/66.79 | (188) all_4_42 = n3
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (183), (187) imply:
% 261.15/66.79 | (189) all_4_42 = all_4_45
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (188), (189) imply:
% 261.15/66.79 | (190) all_4_45 = n3
% 261.15/66.79 |
% 261.15/66.79 | SIMP: (190) implies:
% 261.15/66.79 | (191) all_4_45 = n3
% 261.15/66.79 |
% 261.15/66.79 | COMBINE_EQS: (185), (191) imply:
% 261.15/66.79 | (192) all_4_40 = n3
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (45), (182), (192) imply:
% 261.15/66.79 | (193) sum(n3, n3) = all_4_90
% 261.15/66.79 |
% 261.15/66.79 | REDUCE: (52), (188), (191) imply:
% 261.15/66.79 | (194) sum(n3, n3) = all_4_91
% 261.15/66.79 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with n6, all_4_90, n3, n3, simplifying with
% 261.15/66.80 | (8), (193) gives:
% 261.15/66.80 | (195) all_4_90 = n6
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with all_4_91, all_4_90, n3, n3, simplifying
% 261.15/66.80 | with (193), (194) gives:
% 261.15/66.80 | (196) all_4_90 = all_4_91
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (195), (196) imply:
% 261.15/66.80 | (197) all_4_91 = n6
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (197) implies:
% 261.15/66.80 | (198) all_4_91 = n6
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (63), (195) imply:
% 261.15/66.80 | (199) pred(n6) = all_4_36
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (24), (198) imply:
% 261.15/66.80 | (200) pred(n6) = all_4_39
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (19), (195) imply:
% 261.15/66.80 | (201) succ(n6) = all_4_38
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (2), (198) imply:
% 261.15/66.80 | (202) succ(n6) = all_4_35
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (29) with n7, all_4_35, n6, simplifying with (48),
% 261.15/66.80 | (202) gives:
% 261.15/66.80 | (203) all_4_35 = n7
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (29) with all_4_38, all_4_35, n6, simplifying with
% 261.15/66.80 | (201), (202) gives:
% 261.15/66.80 | (204) all_4_35 = all_4_38
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with n5, all_4_36, n6, simplifying with (32),
% 261.15/66.80 | (199) gives:
% 261.15/66.80 | (205) all_4_36 = n5
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with all_4_39, all_4_36, n6, simplifying with
% 261.15/66.80 | (199), (200) gives:
% 261.15/66.80 | (206) all_4_36 = all_4_39
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (203), (204) imply:
% 261.15/66.80 | (207) all_4_38 = n7
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (205), (206) imply:
% 261.15/66.80 | (208) all_4_39 = n5
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (38), (203), (205) imply:
% 261.15/66.80 | (209) sum(n5, n7) = all_4_34
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (67), (205), (207) imply:
% 261.15/66.80 | (210) sum(n5, n7) = all_4_32
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (50), (203), (208) imply:
% 261.15/66.80 | (211) sum(n5, n7) = all_4_33
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (54), (207), (208) imply:
% 261.15/66.80 | (212) sum(n5, n7) = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with n1, all_4_33, n7, n5, simplifying with
% 261.15/66.80 | (26), (211) gives:
% 261.15/66.80 | (213) all_4_33 = n1
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with all_4_34, all_4_33, n7, n5, simplifying
% 261.15/66.80 | with (209), (211) gives:
% 261.15/66.80 | (214) all_4_33 = all_4_34
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with all_4_33, all_4_32, n7, n5, simplifying
% 261.15/66.80 | with (210), (211) gives:
% 261.15/66.80 | (215) all_4_32 = all_4_33
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with all_4_37, all_4_32, n7, n5, simplifying
% 261.15/66.80 | with (210), (212) gives:
% 261.15/66.80 | (216) all_4_32 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (215), (216) imply:
% 261.15/66.80 | (217) all_4_33 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (217) implies:
% 261.15/66.80 | (218) all_4_33 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (213), (214) imply:
% 261.15/66.80 | (219) all_4_34 = n1
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (214), (218) imply:
% 261.15/66.80 | (220) all_4_34 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (219), (220) imply:
% 261.15/66.80 | (221) all_4_37 = n1
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (216), (221) imply:
% 261.15/66.80 | (222) all_4_32 = n1
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (22), (213), (222) imply:
% 261.15/66.80 | (223) sum(n1, n1) = all_4_88
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (16), (219), (221) imply:
% 261.15/66.80 | (224) sum(n1, n1) = all_4_89
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with n2, all_4_88, n1, n1, simplifying with
% 261.15/66.80 | (81), (223) gives:
% 261.15/66.80 | (225) all_4_88 = n2
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (51) with all_4_89, all_4_88, n1, n1, simplifying
% 261.15/66.80 | with (223), (224) gives:
% 261.15/66.80 | (226) all_4_88 = all_4_89
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (225), (226) imply:
% 261.15/66.80 | (227) all_4_89 = n2
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (12), (225), (227) imply:
% 261.15/66.80 | (228) $false
% 261.15/66.80 |
% 261.15/66.80 | CLOSE: (228) is inconsistent.
% 261.15/66.80 |
% 261.15/66.80 End of proof
% 261.15/66.80
% 261.15/66.80 Sub-proof #134 shows that the following formulas are inconsistent:
% 261.15/66.80 ----------------------------------------------------------------
% 261.15/66.80 (1) succ(all_4_95) = all_4_51
% 261.15/66.80 (2) succ(n1) = n2
% 261.15/66.80 (3) succ(all_4_91) = all_4_35
% 261.15/66.80 (4) sum(n4, n6) = n10
% 261.15/66.80 (5) succ(all_4_92) = all_4_46
% 261.15/66.80 (6) pred(all_4_95) = all_4_55
% 261.15/66.80 (7) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.80 (8) succ(n9) = n10
% 261.15/66.80 (9) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.80 (10) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.80 (11) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.80 (12) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.80 (13) sum(n2, n4) = n6
% 261.15/66.80 (14) ~ (all_4_88 = all_4_89)
% 261.15/66.80 (15) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.80 (16) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.80 (17) succ(all_4_94) = all_4_54
% 261.15/66.80 (18) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.80 (19) sum(n8, n8) = n5
% 261.15/66.80 (20) pred(all_4_99) = all_4_71
% 261.15/66.80 (21) succ(all_4_90) = all_4_38
% 261.15/66.80 (22) sum(n8, n10) = n7
% 261.15/66.80 (23) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.80 (24) sum(n0, n2) = n2
% 261.15/66.80 (25) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.80 (26) sum(n3, n5) = n8
% 261.15/66.80 (27) sum(n10, n10) = n9
% 261.15/66.80 (28) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.80 (29) pred(n5) = n4
% 261.15/66.80 (30) pred(all_4_91) = all_4_39
% 261.15/66.80 (31) pred(all_4_92) = all_4_44
% 261.15/66.80 (32) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.80 (33) pred(n4) = n3
% 261.15/66.80 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.80 | ~ (succ(v2) = v0))
% 261.15/66.80 (35) pred(all_4_97) = all_4_63
% 261.15/66.80 (36) succ(all_4_99) = all_4_67
% 261.15/66.80 (37) pred(n9) = n8
% 261.15/66.80 (38) succ(n3) = n4
% 261.15/66.80 (39) pred(all_4_96) = all_4_60
% 261.15/66.80 (40) succ(all_4_96) = all_4_62
% 261.15/66.80 (41) pred(n3) = n2
% 261.15/66.80 (42) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.80 (43) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.80 (44) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.80 (45) pred(all_4_93) = all_4_47
% 261.15/66.80 (46) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.80 (47) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.80 (48) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.80 (49) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.80 (50) all_4_99 = n4
% 261.15/66.80 (51) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.80 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.80 (53) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.80 (54) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.80 (55) sum(n6, n6) = n1
% 261.15/66.80 (56) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.80 (57) sum(n2, n2) = all_4_99
% 261.15/66.80 (58) succ(n5) = n6
% 261.15/66.80 (59) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.80 (60) succ(n4) = n5
% 261.15/66.80 (61) succ(all_4_98) = all_4_70
% 261.15/66.80 (62) pred(all_4_90) = all_4_36
% 261.15/66.80 (63) pred(n1) = n0
% 261.15/66.80 (64) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.80 (65) succ(all_4_97) = all_4_59
% 261.15/66.80 (66) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.80 (67) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.80 (68) sum(n7, n7) = n3
% 261.15/66.80 (69) all_4_98 = n4
% 261.15/66.80 (70) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.80 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.80 | ~ (pred(v2) = v0))
% 261.15/66.80 (72) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.80 (73) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.80 (74) succ(all_4_93) = all_4_43
% 261.15/66.80 (75) pred(all_4_98) = all_4_68
% 261.15/66.80 (76) pred(all_4_94) = all_4_52
% 261.15/66.80
% 261.15/66.80 Begin of proof
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (69), (75) imply:
% 261.15/66.80 | (77) pred(n4) = all_4_68
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (20), (50) imply:
% 261.15/66.80 | (78) pred(n4) = all_4_71
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (61), (69) imply:
% 261.15/66.80 | (79) succ(n4) = all_4_70
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (36), (50) imply:
% 261.15/66.80 | (80) succ(n4) = all_4_67
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (50), (57) imply:
% 261.15/66.80 | (81) sum(n2, n2) = n4
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with n5, all_4_67, n4, simplifying with (60),
% 261.15/66.80 | (80) gives:
% 261.15/66.80 | (82) all_4_67 = n5
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with all_4_70, all_4_67, n4, simplifying with
% 261.15/66.80 | (79), (80) gives:
% 261.15/66.80 | (83) all_4_67 = all_4_70
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with n3, all_4_68, n4, simplifying with (33),
% 261.15/66.80 | (77) gives:
% 261.15/66.80 | (84) all_4_68 = n3
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with all_4_71, all_4_68, n4, simplifying with
% 261.15/66.80 | (77), (78) gives:
% 261.15/66.80 | (85) all_4_68 = all_4_71
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (82), (83) imply:
% 261.15/66.80 | (86) all_4_70 = n5
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (84), (85) imply:
% 261.15/66.80 | (87) all_4_71 = n3
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (49), (82), (84) imply:
% 261.15/66.80 | (88) sum(n3, n5) = all_4_66
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (64), (84), (86) imply:
% 261.15/66.80 | (89) sum(n3, n5) = all_4_64
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (46), (82), (87) imply:
% 261.15/66.80 | (90) sum(n3, n5) = all_4_65
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (11), (86), (87) imply:
% 261.15/66.80 | (91) sum(n3, n5) = all_4_69
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n8, all_4_65, n5, n3, simplifying with
% 261.15/66.80 | (26), (90) gives:
% 261.15/66.80 | (92) all_4_65 = n8
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_66, all_4_65, n5, n3, simplifying
% 261.15/66.80 | with (88), (90) gives:
% 261.15/66.80 | (93) all_4_65 = all_4_66
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_66, all_4_64, n5, n3, simplifying
% 261.15/66.80 | with (88), (89) gives:
% 261.15/66.80 | (94) all_4_64 = all_4_66
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_69, all_4_64, n5, n3, simplifying
% 261.15/66.80 | with (89), (91) gives:
% 261.15/66.80 | (95) all_4_64 = all_4_69
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (94), (95) imply:
% 261.15/66.80 | (96) all_4_66 = all_4_69
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (96) implies:
% 261.15/66.80 | (97) all_4_66 = all_4_69
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (92), (93) imply:
% 261.15/66.80 | (98) all_4_66 = n8
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (98) implies:
% 261.15/66.80 | (99) all_4_66 = n8
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (97), (99) imply:
% 261.15/66.80 | (100) all_4_69 = n8
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (95), (100) imply:
% 261.15/66.80 | (101) all_4_64 = n8
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (32), (92), (101) imply:
% 261.15/66.80 | (102) sum(n8, n8) = all_4_96
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (59), (99), (100) imply:
% 261.15/66.80 | (103) sum(n8, n8) = all_4_97
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n5, all_4_96, n8, n8, simplifying with
% 261.15/66.80 | (19), (102) gives:
% 261.15/66.80 | (104) all_4_96 = n5
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_97, all_4_96, n8, n8, simplifying
% 261.15/66.80 | with (102), (103) gives:
% 261.15/66.80 | (105) all_4_96 = all_4_97
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (104), (105) imply:
% 261.15/66.80 | (106) all_4_97 = n5
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (106) implies:
% 261.15/66.80 | (107) all_4_97 = n5
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (39), (104) imply:
% 261.15/66.80 | (108) pred(n5) = all_4_60
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (35), (107) imply:
% 261.15/66.80 | (109) pred(n5) = all_4_63
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (40), (104) imply:
% 261.15/66.80 | (110) succ(n5) = all_4_62
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (65), (107) imply:
% 261.15/66.80 | (111) succ(n5) = all_4_59
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with n6, all_4_59, n5, simplifying with (58),
% 261.15/66.80 | (111) gives:
% 261.15/66.80 | (112) all_4_59 = n6
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with all_4_62, all_4_59, n5, simplifying with
% 261.15/66.80 | (110), (111) gives:
% 261.15/66.80 | (113) all_4_59 = all_4_62
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with n4, all_4_60, n5, simplifying with (29),
% 261.15/66.80 | (108) gives:
% 261.15/66.80 | (114) all_4_60 = n4
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with all_4_63, all_4_60, n5, simplifying with
% 261.15/66.80 | (108), (109) gives:
% 261.15/66.80 | (115) all_4_60 = all_4_63
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (112), (113) imply:
% 261.15/66.80 | (116) all_4_62 = n6
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (114), (115) imply:
% 261.15/66.80 | (117) all_4_63 = n4
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (47), (112), (114) imply:
% 261.15/66.80 | (118) sum(n4, n6) = all_4_58
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (10), (114), (116) imply:
% 261.15/66.80 | (119) sum(n4, n6) = all_4_56
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (15), (112), (117) imply:
% 261.15/66.80 | (120) sum(n4, n6) = all_4_57
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (16), (116), (117) imply:
% 261.15/66.80 | (121) sum(n4, n6) = all_4_61
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n10, all_4_57, n6, n4, simplifying with
% 261.15/66.80 | (4), (120) gives:
% 261.15/66.80 | (122) all_4_57 = n10
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_58, all_4_57, n6, n4, simplifying
% 261.15/66.80 | with (118), (120) gives:
% 261.15/66.80 | (123) all_4_57 = all_4_58
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_57, all_4_56, n6, n4, simplifying
% 261.15/66.80 | with (119), (120) gives:
% 261.15/66.80 | (124) all_4_56 = all_4_57
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_61, all_4_56, n6, n4, simplifying
% 261.15/66.80 | with (119), (121) gives:
% 261.15/66.80 | (125) all_4_56 = all_4_61
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (124), (125) imply:
% 261.15/66.80 | (126) all_4_57 = all_4_61
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (126) implies:
% 261.15/66.80 | (127) all_4_57 = all_4_61
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (122), (123) imply:
% 261.15/66.80 | (128) all_4_58 = n10
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (123), (127) imply:
% 261.15/66.80 | (129) all_4_58 = all_4_61
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (128), (129) imply:
% 261.15/66.80 | (130) all_4_61 = n10
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (125), (130) imply:
% 261.15/66.80 | (131) all_4_56 = n10
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (23), (122), (131) imply:
% 261.15/66.80 | (132) sum(n10, n10) = all_4_94
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (67), (128), (130) imply:
% 261.15/66.80 | (133) sum(n10, n10) = all_4_95
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n9, all_4_94, n10, n10, simplifying with
% 261.15/66.80 | (27), (132) gives:
% 261.15/66.80 | (134) all_4_94 = n9
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_95, all_4_94, n10, n10, simplifying
% 261.15/66.80 | with (132), (133) gives:
% 261.15/66.80 | (135) all_4_94 = all_4_95
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (134), (135) imply:
% 261.15/66.80 | (136) all_4_95 = n9
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (76), (134) imply:
% 261.15/66.80 | (137) pred(n9) = all_4_52
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (6), (136) imply:
% 261.15/66.80 | (138) pred(n9) = all_4_55
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (17), (134) imply:
% 261.15/66.80 | (139) succ(n9) = all_4_54
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (1), (136) imply:
% 261.15/66.80 | (140) succ(n9) = all_4_51
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with n10, all_4_51, n9, simplifying with (8),
% 261.15/66.80 | (140) gives:
% 261.15/66.80 | (141) all_4_51 = n10
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with all_4_54, all_4_51, n9, simplifying with
% 261.15/66.80 | (139), (140) gives:
% 261.15/66.80 | (142) all_4_51 = all_4_54
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with n8, all_4_52, n9, simplifying with (37),
% 261.15/66.80 | (137) gives:
% 261.15/66.80 | (143) all_4_52 = n8
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with all_4_55, all_4_52, n9, simplifying with
% 261.15/66.80 | (137), (138) gives:
% 261.15/66.80 | (144) all_4_52 = all_4_55
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (141), (142) imply:
% 261.15/66.80 | (145) all_4_54 = n10
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (143), (144) imply:
% 261.15/66.80 | (146) all_4_55 = n8
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (146) implies:
% 261.15/66.80 | (147) all_4_55 = n8
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (72), (141), (143) imply:
% 261.15/66.80 | (148) sum(n8, n10) = all_4_50
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (9), (143), (145) imply:
% 261.15/66.80 | (149) sum(n8, n10) = all_4_48
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (42), (141), (147) imply:
% 261.15/66.80 | (150) sum(n8, n10) = all_4_49
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (12), (145), (147) imply:
% 261.15/66.80 | (151) sum(n8, n10) = all_4_53
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n7, all_4_49, n10, n8, simplifying with
% 261.15/66.80 | (22), (150) gives:
% 261.15/66.80 | (152) all_4_49 = n7
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_50, all_4_49, n10, n8, simplifying
% 261.15/66.80 | with (148), (150) gives:
% 261.15/66.80 | (153) all_4_49 = all_4_50
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_49, all_4_48, n10, n8, simplifying
% 261.15/66.80 | with (149), (150) gives:
% 261.15/66.80 | (154) all_4_48 = all_4_49
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_53, all_4_48, n10, n8, simplifying
% 261.15/66.80 | with (149), (151) gives:
% 261.15/66.80 | (155) all_4_48 = all_4_53
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (154), (155) imply:
% 261.15/66.80 | (156) all_4_49 = all_4_53
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (156) implies:
% 261.15/66.80 | (157) all_4_49 = all_4_53
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (152), (153) imply:
% 261.15/66.80 | (158) all_4_50 = n7
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (153), (157) imply:
% 261.15/66.80 | (159) all_4_50 = all_4_53
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (158), (159) imply:
% 261.15/66.80 | (160) all_4_53 = n7
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (155), (160) imply:
% 261.15/66.80 | (161) all_4_48 = n7
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (70), (152), (161) imply:
% 261.15/66.80 | (162) sum(n7, n7) = all_4_92
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (73), (158), (160) imply:
% 261.15/66.80 | (163) sum(n7, n7) = all_4_93
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n3, all_4_92, n7, n7, simplifying with
% 261.15/66.80 | (68), (162) gives:
% 261.15/66.80 | (164) all_4_92 = n3
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_93, all_4_92, n7, n7, simplifying
% 261.15/66.80 | with (162), (163) gives:
% 261.15/66.80 | (165) all_4_92 = all_4_93
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (164), (165) imply:
% 261.15/66.80 | (166) all_4_93 = n3
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (166) implies:
% 261.15/66.80 | (167) all_4_93 = n3
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (31), (164) imply:
% 261.15/66.80 | (168) pred(n3) = all_4_44
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (45), (167) imply:
% 261.15/66.80 | (169) pred(n3) = all_4_47
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (5), (164) imply:
% 261.15/66.80 | (170) succ(n3) = all_4_46
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (74), (167) imply:
% 261.15/66.80 | (171) succ(n3) = all_4_43
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with n4, all_4_43, n3, simplifying with (38),
% 261.15/66.80 | (171) gives:
% 261.15/66.80 | (172) all_4_43 = n4
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with all_4_46, all_4_43, n3, simplifying with
% 261.15/66.80 | (170), (171) gives:
% 261.15/66.80 | (173) all_4_43 = all_4_46
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with n2, all_4_44, n3, simplifying with (41),
% 261.15/66.80 | (168) gives:
% 261.15/66.80 | (174) all_4_44 = n2
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (71) with all_4_47, all_4_44, n3, simplifying with
% 261.15/66.80 | (168), (169) gives:
% 261.15/66.80 | (175) all_4_44 = all_4_47
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (172), (173) imply:
% 261.15/66.80 | (176) all_4_46 = n4
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (174), (175) imply:
% 261.15/66.80 | (177) all_4_47 = n2
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (56), (172), (174) imply:
% 261.15/66.80 | (178) sum(n2, n4) = all_4_42
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (7), (174), (176) imply:
% 261.15/66.80 | (179) sum(n2, n4) = all_4_40
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (28), (172), (177) imply:
% 261.15/66.80 | (180) sum(n2, n4) = all_4_41
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (44), (176), (177) imply:
% 261.15/66.80 | (181) sum(n2, n4) = all_4_45
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n6, all_4_41, n4, n2, simplifying with
% 261.15/66.80 | (13), (180) gives:
% 261.15/66.80 | (182) all_4_41 = n6
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_42, all_4_41, n4, n2, simplifying
% 261.15/66.80 | with (178), (180) gives:
% 261.15/66.80 | (183) all_4_41 = all_4_42
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_41, all_4_40, n4, n2, simplifying
% 261.15/66.80 | with (179), (180) gives:
% 261.15/66.80 | (184) all_4_40 = all_4_41
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_45, all_4_40, n4, n2, simplifying
% 261.15/66.80 | with (179), (181) gives:
% 261.15/66.80 | (185) all_4_40 = all_4_45
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (184), (185) imply:
% 261.15/66.80 | (186) all_4_41 = all_4_45
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (186) implies:
% 261.15/66.80 | (187) all_4_41 = all_4_45
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (182), (183) imply:
% 261.15/66.80 | (188) all_4_42 = n6
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (183), (187) imply:
% 261.15/66.80 | (189) all_4_42 = all_4_45
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (188), (189) imply:
% 261.15/66.80 | (190) all_4_45 = n6
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (190) implies:
% 261.15/66.80 | (191) all_4_45 = n6
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (185), (191) imply:
% 261.15/66.80 | (192) all_4_40 = n6
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (48), (182), (192) imply:
% 261.15/66.80 | (193) sum(n6, n6) = all_4_90
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (53), (188), (191) imply:
% 261.15/66.80 | (194) sum(n6, n6) = all_4_91
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with n1, all_4_90, n6, n6, simplifying with
% 261.15/66.80 | (55), (193) gives:
% 261.15/66.80 | (195) all_4_90 = n1
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (52) with all_4_91, all_4_90, n6, n6, simplifying
% 261.15/66.80 | with (193), (194) gives:
% 261.15/66.80 | (196) all_4_90 = all_4_91
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (195), (196) imply:
% 261.15/66.80 | (197) all_4_91 = n1
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (197) implies:
% 261.15/66.80 | (198) all_4_91 = n1
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (62), (195) imply:
% 261.15/66.80 | (199) pred(n1) = all_4_36
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (30), (198) imply:
% 261.15/66.80 | (200) pred(n1) = all_4_39
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (21), (195) imply:
% 261.15/66.80 | (201) succ(n1) = all_4_38
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (3), (198) imply:
% 261.15/66.80 | (202) succ(n1) = all_4_35
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (34) with n2, all_4_35, n1, simplifying with (2),
% 261.15/66.80 | (202) gives:
% 261.15/66.80 | (203) all_4_35 = n2
% 261.15/66.80 |
% 261.15/66.80 | REF_CLOSE: (14), (18), (24), (25), (34), (43), (51), (52), (54), (63), (66),
% 261.15/66.80 | (71), (81), (199), (200), (201), (202), (203) are inconsistent by
% 261.15/66.80 | sub-proof #135.
% 261.15/66.80 |
% 261.15/66.80 End of proof
% 261.15/66.80
% 261.15/66.80 Sub-proof #135 shows that the following formulas are inconsistent:
% 261.15/66.80 ----------------------------------------------------------------
% 261.15/66.80 (1) sum(n2, n2) = n4
% 261.15/66.80 (2) ~ (all_4_88 = all_4_89)
% 261.15/66.80 (3) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.80 (4) succ(n1) = all_4_38
% 261.15/66.80 (5) sum(n0, n2) = n2
% 261.15/66.80 (6) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.80 (7) pred(n1) = all_4_39
% 261.15/66.80 (8) pred(n1) = all_4_36
% 261.15/66.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.15/66.80 ~ (succ(v2) = v0))
% 261.15/66.80 (10) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.80 (11) succ(n1) = all_4_35
% 261.15/66.80 (12) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.80 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.80 (14) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.80 (15) all_4_35 = n2
% 261.15/66.80 (16) pred(n1) = n0
% 261.15/66.80 (17) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.80 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.80 | ~ (pred(v2) = v0))
% 261.15/66.80
% 261.15/66.80 Begin of proof
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (9) with all_4_38, all_4_35, n1, simplifying with
% 261.15/66.80 | (4), (11) gives:
% 261.15/66.80 | (19) all_4_35 = all_4_38
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (18) with n0, all_4_36, n1, simplifying with (8),
% 261.15/66.80 | (16) gives:
% 261.15/66.80 | (20) all_4_36 = n0
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (18) with all_4_39, all_4_36, n1, simplifying with
% 261.15/66.80 | (7), (8) gives:
% 261.15/66.80 | (21) all_4_36 = all_4_39
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (15), (19) imply:
% 261.15/66.80 | (22) all_4_38 = n2
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (20), (21) imply:
% 261.15/66.80 | (23) all_4_39 = n0
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (10), (15), (20) imply:
% 261.15/66.80 | (24) sum(n0, n2) = all_4_34
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (17), (20), (22) imply:
% 261.15/66.80 | (25) sum(n0, n2) = all_4_32
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (12), (15), (23) imply:
% 261.15/66.80 | (26) sum(n0, n2) = all_4_33
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (14), (22), (23) imply:
% 261.15/66.80 | (27) sum(n0, n2) = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (13) with n2, all_4_33, n2, n0, simplifying with
% 261.15/66.80 | (5), (26) gives:
% 261.15/66.80 | (28) all_4_33 = n2
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (13) with all_4_34, all_4_33, n2, n0, simplifying
% 261.15/66.80 | with (24), (26) gives:
% 261.15/66.80 | (29) all_4_33 = all_4_34
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (13) with all_4_33, all_4_32, n2, n0, simplifying
% 261.15/66.80 | with (25), (26) gives:
% 261.15/66.80 | (30) all_4_32 = all_4_33
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (13) with all_4_37, all_4_32, n2, n0, simplifying
% 261.15/66.80 | with (25), (27) gives:
% 261.15/66.80 | (31) all_4_32 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (30), (31) imply:
% 261.15/66.80 | (32) all_4_33 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | SIMP: (32) implies:
% 261.15/66.80 | (33) all_4_33 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (28), (29) imply:
% 261.15/66.80 | (34) all_4_34 = n2
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (29), (33) imply:
% 261.15/66.80 | (35) all_4_34 = all_4_37
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (34), (35) imply:
% 261.15/66.80 | (36) all_4_37 = n2
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (31), (36) imply:
% 261.15/66.80 | (37) all_4_32 = n2
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (6), (28), (37) imply:
% 261.15/66.80 | (38) sum(n2, n2) = all_4_88
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (3), (34), (36) imply:
% 261.15/66.80 | (39) sum(n2, n2) = all_4_89
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (13) with n4, all_4_88, n2, n2, simplifying with
% 261.15/66.80 | (1), (38) gives:
% 261.15/66.80 | (40) all_4_88 = n4
% 261.15/66.80 |
% 261.15/66.80 | GROUND_INST: instantiating (13) with all_4_89, all_4_88, n2, n2, simplifying
% 261.15/66.80 | with (38), (39) gives:
% 261.15/66.80 | (41) all_4_88 = all_4_89
% 261.15/66.80 |
% 261.15/66.80 | COMBINE_EQS: (40), (41) imply:
% 261.15/66.80 | (42) all_4_89 = n4
% 261.15/66.80 |
% 261.15/66.80 | REDUCE: (2), (40), (42) imply:
% 261.15/66.80 | (43) $false
% 261.15/66.80 |
% 261.15/66.80 | CLOSE: (43) is inconsistent.
% 261.15/66.80 |
% 261.15/66.80 End of proof
% 261.15/66.80
% 261.15/66.80 Sub-proof #136 shows that the following formulas are inconsistent:
% 261.15/66.80 ----------------------------------------------------------------
% 261.15/66.80 (1) succ(all_4_95) = all_4_51
% 261.15/66.80 (2) succ(all_4_91) = all_4_35
% 261.15/66.80 (3) succ(all_4_92) = all_4_46
% 261.15/66.80 (4) pred(all_4_95) = all_4_55
% 261.15/66.80 (5) sum(all_4_44, all_4_46) = all_4_40
% 261.15/66.80 (6) sum(n9, n0) = n9
% 261.15/66.81 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.15/66.81 (8) sum(all_4_60, all_4_62) = all_4_56
% 261.15/66.81 (9) sum(all_4_71, all_4_70) = all_4_69
% 261.15/66.81 (10) sum(all_4_55, all_4_54) = all_4_53
% 261.15/66.81 (11) ~ (all_4_88 = all_4_89)
% 261.15/66.81 (12) sum(all_4_63, all_4_59) = all_4_57
% 261.15/66.81 (13) sum(all_4_63, all_4_62) = all_4_61
% 261.15/66.81 (14) succ(all_4_94) = all_4_54
% 261.15/66.81 (15) sum(all_4_37, all_4_34) = all_4_89
% 261.15/66.81 (16) pred(n8) = n7
% 261.15/66.81 (17) pred(all_4_99) = all_4_71
% 261.15/66.81 (18) succ(all_4_90) = all_4_38
% 261.15/66.81 (19) sum(n6, n8) = n3
% 261.15/66.81 (20) all_4_98 = n6
% 261.15/66.81 (21) sum(all_4_57, all_4_56) = all_4_94
% 261.15/66.81 (22) sum(all_4_33, all_4_32) = all_4_88
% 261.15/66.81 (23) sum(all_4_47, all_4_43) = all_4_41
% 261.15/66.81 (24) pred(all_4_91) = all_4_39
% 261.15/66.81 (25) pred(all_4_92) = all_4_44
% 261.15/66.81 (26) sum(n5, n7) = n1
% 261.15/66.81 (27) sum(all_4_65, all_4_64) = all_4_96
% 261.15/66.81 (28) succ(n10) = n0
% 261.15/66.81 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.15/66.81 | ~ (succ(v2) = v0))
% 261.15/66.81 (30) pred(all_4_97) = all_4_63
% 261.15/66.81 (31) succ(all_4_99) = all_4_67
% 261.15/66.81 (32) pred(n6) = n5
% 261.15/66.81 (33) pred(all_4_96) = all_4_60
% 261.15/66.81 (34) succ(all_4_96) = all_4_62
% 261.15/66.81 (35) sum(all_4_55, all_4_51) = all_4_49
% 261.15/66.81 (36) pred(n7) = n6
% 261.15/66.81 (37) sum(all_4_36, all_4_35) = all_4_34
% 261.15/66.81 (38) succ(n7) = n8
% 261.15/66.81 (39) sum(all_4_47, all_4_46) = all_4_45
% 261.15/66.81 (40) pred(all_4_93) = all_4_47
% 261.15/66.81 (41) sum(all_4_71, all_4_67) = all_4_65
% 261.15/66.81 (42) sum(all_4_60, all_4_59) = all_4_58
% 261.15/66.81 (43) sum(n5, n5) = n10
% 261.15/66.81 (44) sum(all_4_41, all_4_40) = all_4_90
% 261.15/66.81 (45) succ(n2) = n3
% 261.15/66.81 (46) sum(all_4_68, all_4_67) = all_4_66
% 261.15/66.81 (47) succ(n6) = n7
% 261.15/66.81 (48) succ(n8) = n9
% 261.15/66.81 (49) sum(all_4_39, all_4_35) = all_4_33
% 261.15/66.81 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.15/66.81 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.15/66.81 (51) sum(all_4_45, all_4_42) = all_4_91
% 261.15/66.81 (52) sum(n9, n9) = n7
% 261.15/66.81 (53) sum(all_4_39, all_4_38) = all_4_37
% 261.15/66.81 (54) sum(all_4_44, all_4_43) = all_4_42
% 261.15/66.81 (55) pred(n10) = n9
% 261.15/66.81 (56) sum(all_4_69, all_4_66) = all_4_97
% 261.15/66.81 (57) sum(n7, n9) = n5
% 261.15/66.81 (58) pred(n2) = n1
% 261.15/66.81 (59) sum(n3, n3) = all_4_99
% 261.15/66.81 (60) succ(all_4_98) = all_4_70
% 261.15/66.81 (61) pred(all_4_90) = all_4_36
% 261.15/66.81 (62) sum(n4, n4) = n8
% 261.15/66.81 (63) sum(all_4_68, all_4_70) = all_4_64
% 261.15/66.81 (64) succ(all_4_97) = all_4_59
% 261.15/66.81 (65) sum(all_4_36, all_4_38) = all_4_32
% 261.15/66.81 (66) sum(all_4_61, all_4_58) = all_4_95
% 261.15/66.81 (67) sum(all_4_49, all_4_48) = all_4_92
% 261.15/66.81 (68) all_4_99 = n6
% 261.15/66.81 (69) sum(n1, n3) = n4
% 261.15/66.81 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.15/66.81 | ~ (pred(v2) = v0))
% 261.15/66.81 (71) sum(n1, n1) = n2
% 261.15/66.81 (72) sum(all_4_52, all_4_51) = all_4_50
% 261.15/66.81 (73) sum(all_4_53, all_4_50) = all_4_93
% 261.15/66.81 (74) succ(all_4_93) = all_4_43
% 261.15/66.81 (75) pred(all_4_98) = all_4_68
% 261.15/66.81 (76) pred(all_4_94) = all_4_52
% 261.15/66.81
% 261.15/66.81 Begin of proof
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (20), (75) imply:
% 261.15/66.81 | (77) pred(n6) = all_4_68
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (17), (68) imply:
% 261.15/66.81 | (78) pred(n6) = all_4_71
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (20), (60) imply:
% 261.15/66.81 | (79) succ(n6) = all_4_70
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (31), (68) imply:
% 261.15/66.81 | (80) succ(n6) = all_4_67
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (59), (68) imply:
% 261.15/66.81 | (81) sum(n3, n3) = n6
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (29) with n7, all_4_67, n6, simplifying with (47),
% 261.15/66.81 | (80) gives:
% 261.15/66.81 | (82) all_4_67 = n7
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (29) with all_4_70, all_4_67, n6, simplifying with
% 261.15/66.81 | (79), (80) gives:
% 261.15/66.81 | (83) all_4_67 = all_4_70
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (70) with n5, all_4_68, n6, simplifying with (32),
% 261.15/66.81 | (77) gives:
% 261.15/66.81 | (84) all_4_68 = n5
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (70) with all_4_71, all_4_68, n6, simplifying with
% 261.15/66.81 | (77), (78) gives:
% 261.15/66.81 | (85) all_4_68 = all_4_71
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (82), (83) imply:
% 261.15/66.81 | (86) all_4_70 = n7
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (84), (85) imply:
% 261.15/66.81 | (87) all_4_71 = n5
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (46), (82), (84) imply:
% 261.15/66.81 | (88) sum(n5, n7) = all_4_66
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (63), (84), (86) imply:
% 261.15/66.81 | (89) sum(n5, n7) = all_4_64
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (41), (82), (87) imply:
% 261.15/66.81 | (90) sum(n5, n7) = all_4_65
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (9), (86), (87) imply:
% 261.15/66.81 | (91) sum(n5, n7) = all_4_69
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (50) with n1, all_4_65, n7, n5, simplifying with
% 261.15/66.81 | (26), (90) gives:
% 261.15/66.81 | (92) all_4_65 = n1
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (50) with all_4_66, all_4_65, n7, n5, simplifying
% 261.15/66.81 | with (88), (90) gives:
% 261.15/66.81 | (93) all_4_65 = all_4_66
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (50) with all_4_66, all_4_64, n7, n5, simplifying
% 261.15/66.81 | with (88), (89) gives:
% 261.15/66.81 | (94) all_4_64 = all_4_66
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (50) with all_4_69, all_4_64, n7, n5, simplifying
% 261.15/66.81 | with (89), (91) gives:
% 261.15/66.81 | (95) all_4_64 = all_4_69
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (94), (95) imply:
% 261.15/66.81 | (96) all_4_66 = all_4_69
% 261.15/66.81 |
% 261.15/66.81 | SIMP: (96) implies:
% 261.15/66.81 | (97) all_4_66 = all_4_69
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (92), (93) imply:
% 261.15/66.81 | (98) all_4_66 = n1
% 261.15/66.81 |
% 261.15/66.81 | SIMP: (98) implies:
% 261.15/66.81 | (99) all_4_66 = n1
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (97), (99) imply:
% 261.15/66.81 | (100) all_4_69 = n1
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (95), (100) imply:
% 261.15/66.81 | (101) all_4_64 = n1
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (27), (92), (101) imply:
% 261.15/66.81 | (102) sum(n1, n1) = all_4_96
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (56), (99), (100) imply:
% 261.15/66.81 | (103) sum(n1, n1) = all_4_97
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (50) with n2, all_4_96, n1, n1, simplifying with
% 261.15/66.81 | (71), (102) gives:
% 261.15/66.81 | (104) all_4_96 = n2
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (50) with all_4_97, all_4_96, n1, n1, simplifying
% 261.15/66.81 | with (102), (103) gives:
% 261.15/66.81 | (105) all_4_96 = all_4_97
% 261.15/66.81 |
% 261.15/66.81 | COMBINE_EQS: (104), (105) imply:
% 261.15/66.81 | (106) all_4_97 = n2
% 261.15/66.81 |
% 261.15/66.81 | SIMP: (106) implies:
% 261.15/66.81 | (107) all_4_97 = n2
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (33), (104) imply:
% 261.15/66.81 | (108) pred(n2) = all_4_60
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (30), (107) imply:
% 261.15/66.81 | (109) pred(n2) = all_4_63
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (34), (104) imply:
% 261.15/66.81 | (110) succ(n2) = all_4_62
% 261.15/66.81 |
% 261.15/66.81 | REDUCE: (64), (107) imply:
% 261.15/66.81 | (111) succ(n2) = all_4_59
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (29) with n3, all_4_59, n2, simplifying with (45),
% 261.15/66.81 | (111) gives:
% 261.15/66.81 | (112) all_4_59 = n3
% 261.15/66.81 |
% 261.15/66.81 | GROUND_INST: instantiating (29) with all_4_62, all_4_59, n2, simplifying with
% 261.15/66.81 | (110), (111) gives:
% 261.15/66.81 | (113) all_4_59 = all_4_62
% 261.15/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (70) with n1, all_4_60, n2, simplifying with (58),
% 261.24/66.81 | (108) gives:
% 261.24/66.81 | (114) all_4_60 = n1
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (70) with all_4_63, all_4_60, n2, simplifying with
% 261.24/66.81 | (108), (109) gives:
% 261.24/66.81 | (115) all_4_60 = all_4_63
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (112), (113) imply:
% 261.24/66.81 | (116) all_4_62 = n3
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (114), (115) imply:
% 261.24/66.81 | (117) all_4_63 = n1
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (42), (112), (114) imply:
% 261.24/66.81 | (118) sum(n1, n3) = all_4_58
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (8), (114), (116) imply:
% 261.24/66.81 | (119) sum(n1, n3) = all_4_56
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (12), (112), (117) imply:
% 261.24/66.81 | (120) sum(n1, n3) = all_4_57
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (13), (116), (117) imply:
% 261.24/66.81 | (121) sum(n1, n3) = all_4_61
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with n4, all_4_57, n3, n1, simplifying with
% 261.24/66.81 | (69), (120) gives:
% 261.24/66.81 | (122) all_4_57 = n4
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_58, all_4_57, n3, n1, simplifying
% 261.24/66.81 | with (118), (120) gives:
% 261.24/66.81 | (123) all_4_57 = all_4_58
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_57, all_4_56, n3, n1, simplifying
% 261.24/66.81 | with (119), (120) gives:
% 261.24/66.81 | (124) all_4_56 = all_4_57
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_61, all_4_56, n3, n1, simplifying
% 261.24/66.81 | with (119), (121) gives:
% 261.24/66.81 | (125) all_4_56 = all_4_61
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (124), (125) imply:
% 261.24/66.81 | (126) all_4_57 = all_4_61
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (126) implies:
% 261.24/66.81 | (127) all_4_57 = all_4_61
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (122), (123) imply:
% 261.24/66.81 | (128) all_4_58 = n4
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (123), (127) imply:
% 261.24/66.81 | (129) all_4_58 = all_4_61
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (128), (129) imply:
% 261.24/66.81 | (130) all_4_61 = n4
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (125), (130) imply:
% 261.24/66.81 | (131) all_4_56 = n4
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (21), (122), (131) imply:
% 261.24/66.81 | (132) sum(n4, n4) = all_4_94
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (66), (128), (130) imply:
% 261.24/66.81 | (133) sum(n4, n4) = all_4_95
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with n8, all_4_94, n4, n4, simplifying with
% 261.24/66.81 | (62), (132) gives:
% 261.24/66.81 | (134) all_4_94 = n8
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_95, all_4_94, n4, n4, simplifying
% 261.24/66.81 | with (132), (133) gives:
% 261.24/66.81 | (135) all_4_94 = all_4_95
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (134), (135) imply:
% 261.24/66.81 | (136) all_4_95 = n8
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (76), (134) imply:
% 261.24/66.81 | (137) pred(n8) = all_4_52
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (4), (136) imply:
% 261.24/66.81 | (138) pred(n8) = all_4_55
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (14), (134) imply:
% 261.24/66.81 | (139) succ(n8) = all_4_54
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (1), (136) imply:
% 261.24/66.81 | (140) succ(n8) = all_4_51
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (29) with n9, all_4_51, n8, simplifying with (48),
% 261.24/66.81 | (140) gives:
% 261.24/66.81 | (141) all_4_51 = n9
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (29) with all_4_54, all_4_51, n8, simplifying with
% 261.24/66.81 | (139), (140) gives:
% 261.24/66.81 | (142) all_4_51 = all_4_54
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (70) with n7, all_4_52, n8, simplifying with (16),
% 261.24/66.81 | (137) gives:
% 261.24/66.81 | (143) all_4_52 = n7
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (70) with all_4_55, all_4_52, n8, simplifying with
% 261.24/66.81 | (137), (138) gives:
% 261.24/66.81 | (144) all_4_52 = all_4_55
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (141), (142) imply:
% 261.24/66.81 | (145) all_4_54 = n9
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (143), (144) imply:
% 261.24/66.81 | (146) all_4_55 = n7
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (146) implies:
% 261.24/66.81 | (147) all_4_55 = n7
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (72), (141), (143) imply:
% 261.24/66.81 | (148) sum(n7, n9) = all_4_50
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (7), (143), (145) imply:
% 261.24/66.81 | (149) sum(n7, n9) = all_4_48
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (35), (141), (147) imply:
% 261.24/66.81 | (150) sum(n7, n9) = all_4_49
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (10), (145), (147) imply:
% 261.24/66.81 | (151) sum(n7, n9) = all_4_53
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with n5, all_4_49, n9, n7, simplifying with
% 261.24/66.81 | (57), (150) gives:
% 261.24/66.81 | (152) all_4_49 = n5
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_50, all_4_49, n9, n7, simplifying
% 261.24/66.81 | with (148), (150) gives:
% 261.24/66.81 | (153) all_4_49 = all_4_50
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_49, all_4_48, n9, n7, simplifying
% 261.24/66.81 | with (149), (150) gives:
% 261.24/66.81 | (154) all_4_48 = all_4_49
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_53, all_4_48, n9, n7, simplifying
% 261.24/66.81 | with (149), (151) gives:
% 261.24/66.81 | (155) all_4_48 = all_4_53
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (154), (155) imply:
% 261.24/66.81 | (156) all_4_49 = all_4_53
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (156) implies:
% 261.24/66.81 | (157) all_4_49 = all_4_53
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (152), (153) imply:
% 261.24/66.81 | (158) all_4_50 = n5
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (153), (157) imply:
% 261.24/66.81 | (159) all_4_50 = all_4_53
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (158), (159) imply:
% 261.24/66.81 | (160) all_4_53 = n5
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (155), (160) imply:
% 261.24/66.81 | (161) all_4_48 = n5
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (67), (152), (161) imply:
% 261.24/66.81 | (162) sum(n5, n5) = all_4_92
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (73), (158), (160) imply:
% 261.24/66.81 | (163) sum(n5, n5) = all_4_93
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with n10, all_4_92, n5, n5, simplifying with
% 261.24/66.81 | (43), (162) gives:
% 261.24/66.81 | (164) all_4_92 = n10
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_93, all_4_92, n5, n5, simplifying
% 261.24/66.81 | with (162), (163) gives:
% 261.24/66.81 | (165) all_4_92 = all_4_93
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (164), (165) imply:
% 261.24/66.81 | (166) all_4_93 = n10
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (166) implies:
% 261.24/66.81 | (167) all_4_93 = n10
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (25), (164) imply:
% 261.24/66.81 | (168) pred(n10) = all_4_44
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (40), (167) imply:
% 261.24/66.81 | (169) pred(n10) = all_4_47
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (3), (164) imply:
% 261.24/66.81 | (170) succ(n10) = all_4_46
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (74), (167) imply:
% 261.24/66.81 | (171) succ(n10) = all_4_43
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (29) with n0, all_4_43, n10, simplifying with (28),
% 261.24/66.81 | (171) gives:
% 261.24/66.81 | (172) all_4_43 = n0
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (29) with all_4_46, all_4_43, n10, simplifying with
% 261.24/66.81 | (170), (171) gives:
% 261.24/66.81 | (173) all_4_43 = all_4_46
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (70) with n9, all_4_44, n10, simplifying with (55),
% 261.24/66.81 | (168) gives:
% 261.24/66.81 | (174) all_4_44 = n9
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (70) with all_4_47, all_4_44, n10, simplifying with
% 261.24/66.81 | (168), (169) gives:
% 261.24/66.81 | (175) all_4_44 = all_4_47
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (172), (173) imply:
% 261.24/66.81 | (176) all_4_46 = n0
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (174), (175) imply:
% 261.24/66.81 | (177) all_4_47 = n9
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (54), (172), (174) imply:
% 261.24/66.81 | (178) sum(n9, n0) = all_4_42
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (5), (174), (176) imply:
% 261.24/66.81 | (179) sum(n9, n0) = all_4_40
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (23), (172), (177) imply:
% 261.24/66.81 | (180) sum(n9, n0) = all_4_41
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (39), (176), (177) imply:
% 261.24/66.81 | (181) sum(n9, n0) = all_4_45
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with n9, all_4_41, n0, n9, simplifying with
% 261.24/66.81 | (6), (180) gives:
% 261.24/66.81 | (182) all_4_41 = n9
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_42, all_4_41, n0, n9, simplifying
% 261.24/66.81 | with (178), (180) gives:
% 261.24/66.81 | (183) all_4_41 = all_4_42
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_41, all_4_40, n0, n9, simplifying
% 261.24/66.81 | with (179), (180) gives:
% 261.24/66.81 | (184) all_4_40 = all_4_41
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_45, all_4_40, n0, n9, simplifying
% 261.24/66.81 | with (179), (181) gives:
% 261.24/66.81 | (185) all_4_40 = all_4_45
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (184), (185) imply:
% 261.24/66.81 | (186) all_4_41 = all_4_45
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (186) implies:
% 261.24/66.81 | (187) all_4_41 = all_4_45
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (182), (183) imply:
% 261.24/66.81 | (188) all_4_42 = n9
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (183), (187) imply:
% 261.24/66.81 | (189) all_4_42 = all_4_45
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (188), (189) imply:
% 261.24/66.81 | (190) all_4_45 = n9
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (190) implies:
% 261.24/66.81 | (191) all_4_45 = n9
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (185), (191) imply:
% 261.24/66.81 | (192) all_4_40 = n9
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (44), (182), (192) imply:
% 261.24/66.81 | (193) sum(n9, n9) = all_4_90
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (51), (188), (191) imply:
% 261.24/66.81 | (194) sum(n9, n9) = all_4_91
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with n7, all_4_90, n9, n9, simplifying with
% 261.24/66.81 | (52), (193) gives:
% 261.24/66.81 | (195) all_4_90 = n7
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (50) with all_4_91, all_4_90, n9, n9, simplifying
% 261.24/66.81 | with (193), (194) gives:
% 261.24/66.81 | (196) all_4_90 = all_4_91
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (195), (196) imply:
% 261.24/66.81 | (197) all_4_91 = n7
% 261.24/66.81 |
% 261.24/66.81 | SIMP: (197) implies:
% 261.24/66.81 | (198) all_4_91 = n7
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (61), (195) imply:
% 261.24/66.81 | (199) pred(n7) = all_4_36
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (24), (198) imply:
% 261.24/66.81 | (200) pred(n7) = all_4_39
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (18), (195) imply:
% 261.24/66.81 | (201) succ(n7) = all_4_38
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (2), (198) imply:
% 261.24/66.81 | (202) succ(n7) = all_4_35
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (29) with n8, all_4_35, n7, simplifying with (38),
% 261.24/66.81 | (202) gives:
% 261.24/66.81 | (203) all_4_35 = n8
% 261.24/66.81 |
% 261.24/66.81 | REF_CLOSE: (11), (15), (19), (22), (29), (36), (37), (49), (50), (53), (65),
% 261.24/66.81 | (70), (81), (199), (200), (201), (202), (203) are inconsistent by
% 261.24/66.81 | sub-proof #137.
% 261.24/66.81 |
% 261.24/66.81 End of proof
% 261.24/66.81
% 261.24/66.81 Sub-proof #137 shows that the following formulas are inconsistent:
% 261.24/66.81 ----------------------------------------------------------------
% 261.24/66.81 (1) pred(n7) = all_4_36
% 261.24/66.81 (2) pred(n7) = all_4_39
% 261.24/66.81 (3) sum(n3, n3) = n6
% 261.24/66.81 (4) ~ (all_4_88 = all_4_89)
% 261.24/66.81 (5) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.81 (6) all_4_35 = n8
% 261.24/66.81 (7) sum(n6, n8) = n3
% 261.24/66.81 (8) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.81 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.24/66.81 ~ (succ(v2) = v0))
% 261.24/66.81 (10) pred(n7) = n6
% 261.24/66.81 (11) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.81 (12) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.81 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.81 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.81 (14) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.81 (15) succ(n7) = all_4_35
% 261.24/66.81 (16) succ(n7) = all_4_38
% 261.24/66.81 (17) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.81 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.81 | ~ (pred(v2) = v0))
% 261.24/66.81
% 261.24/66.81 Begin of proof
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (9) with all_4_38, all_4_35, n7, simplifying with
% 261.24/66.81 | (15), (16) gives:
% 261.24/66.81 | (19) all_4_35 = all_4_38
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (18) with n6, all_4_36, n7, simplifying with (1),
% 261.24/66.81 | (10) gives:
% 261.24/66.81 | (20) all_4_36 = n6
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (18) with all_4_39, all_4_36, n7, simplifying with
% 261.24/66.81 | (1), (2) gives:
% 261.24/66.81 | (21) all_4_36 = all_4_39
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (6), (19) imply:
% 261.24/66.81 | (22) all_4_38 = n8
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (20), (21) imply:
% 261.24/66.81 | (23) all_4_39 = n6
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (6), (11), (20) imply:
% 261.24/66.81 | (24) sum(n6, n8) = all_4_34
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (17), (20), (22) imply:
% 261.24/66.81 | (25) sum(n6, n8) = all_4_32
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (6), (12), (23) imply:
% 261.24/66.81 | (26) sum(n6, n8) = all_4_33
% 261.24/66.81 |
% 261.24/66.81 | REDUCE: (14), (22), (23) imply:
% 261.24/66.81 | (27) sum(n6, n8) = all_4_37
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (13) with n3, all_4_33, n8, n6, simplifying with
% 261.24/66.81 | (7), (26) gives:
% 261.24/66.81 | (28) all_4_33 = n3
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (13) with all_4_34, all_4_33, n8, n6, simplifying
% 261.24/66.81 | with (24), (26) gives:
% 261.24/66.81 | (29) all_4_33 = all_4_34
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (13) with all_4_33, all_4_32, n8, n6, simplifying
% 261.24/66.81 | with (25), (26) gives:
% 261.24/66.81 | (30) all_4_32 = all_4_33
% 261.24/66.81 |
% 261.24/66.81 | GROUND_INST: instantiating (13) with all_4_37, all_4_32, n8, n6, simplifying
% 261.24/66.81 | with (25), (27) gives:
% 261.24/66.81 | (31) all_4_32 = all_4_37
% 261.24/66.81 |
% 261.24/66.81 | COMBINE_EQS: (30), (31) imply:
% 261.24/66.82 | (32) all_4_33 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (32) implies:
% 261.24/66.82 | (33) all_4_33 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (28), (29) imply:
% 261.24/66.82 | (34) all_4_34 = n3
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (29), (33) imply:
% 261.24/66.82 | (35) all_4_34 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (34), (35) imply:
% 261.24/66.82 | (36) all_4_37 = n3
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (31), (36) imply:
% 261.24/66.82 | (37) all_4_32 = n3
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (8), (28), (37) imply:
% 261.24/66.82 | (38) sum(n3, n3) = all_4_88
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (5), (34), (36) imply:
% 261.24/66.82 | (39) sum(n3, n3) = all_4_89
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (13) with n6, all_4_88, n3, n3, simplifying with
% 261.24/66.82 | (3), (38) gives:
% 261.24/66.82 | (40) all_4_88 = n6
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (13) with all_4_89, all_4_88, n3, n3, simplifying
% 261.24/66.82 | with (38), (39) gives:
% 261.24/66.82 | (41) all_4_88 = all_4_89
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (40), (41) imply:
% 261.24/66.82 | (42) all_4_89 = n6
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (4), (40), (42) imply:
% 261.24/66.82 | (43) $false
% 261.24/66.82 |
% 261.24/66.82 | CLOSE: (43) is inconsistent.
% 261.24/66.82 |
% 261.24/66.82 End of proof
% 261.24/66.82
% 261.24/66.82 Sub-proof #138 shows that the following formulas are inconsistent:
% 261.24/66.82 ----------------------------------------------------------------
% 261.24/66.82 (1) succ(all_4_95) = all_4_51
% 261.24/66.82 (2) succ(all_4_91) = all_4_35
% 261.24/66.82 (3) succ(all_4_92) = all_4_46
% 261.24/66.82 (4) pred(all_4_95) = all_4_55
% 261.24/66.82 (5) sum(all_4_44, all_4_46) = all_4_40
% 261.24/66.82 (6) sum(n9, n0) = n9
% 261.24/66.82 (7) sum(all_4_52, all_4_54) = all_4_48
% 261.24/66.82 (8) sum(n3, n3) = n6
% 261.24/66.82 (9) sum(all_4_60, all_4_62) = all_4_56
% 261.24/66.82 (10) sum(all_4_71, all_4_70) = all_4_69
% 261.24/66.82 (11) sum(all_4_55, all_4_54) = all_4_53
% 261.24/66.82 (12) ~ (all_4_88 = all_4_89)
% 261.24/66.82 (13) sum(all_4_63, all_4_59) = all_4_57
% 261.24/66.82 (14) sum(all_4_63, all_4_62) = all_4_61
% 261.24/66.82 (15) succ(all_4_94) = all_4_54
% 261.24/66.82 (16) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.82 (17) pred(n8) = n7
% 261.24/66.82 (18) pred(all_4_99) = all_4_71
% 261.24/66.82 (19) succ(all_4_90) = all_4_38
% 261.24/66.82 (20) sum(n6, n8) = n3
% 261.24/66.82 (21) sum(all_4_57, all_4_56) = all_4_94
% 261.24/66.82 (22) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.82 (23) sum(all_4_47, all_4_43) = all_4_41
% 261.24/66.82 (24) pred(all_4_91) = all_4_39
% 261.24/66.82 (25) pred(all_4_92) = all_4_44
% 261.24/66.82 (26) sum(n5, n7) = n1
% 261.24/66.82 (27) sum(all_4_65, all_4_64) = all_4_96
% 261.24/66.82 (28) succ(n10) = n0
% 261.24/66.82 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.24/66.82 | ~ (succ(v2) = v0))
% 261.24/66.82 (30) pred(all_4_97) = all_4_63
% 261.24/66.82 (31) succ(all_4_99) = all_4_67
% 261.24/66.82 (32) pred(n6) = n5
% 261.24/66.82 (33) pred(all_4_96) = all_4_60
% 261.24/66.82 (34) succ(all_4_96) = all_4_62
% 261.24/66.82 (35) sum(all_4_55, all_4_51) = all_4_49
% 261.24/66.82 (36) pred(n7) = n6
% 261.24/66.82 (37) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.82 (38) succ(n7) = n8
% 261.24/66.82 (39) sum(all_4_47, all_4_46) = all_4_45
% 261.24/66.82 (40) pred(all_4_93) = all_4_47
% 261.24/66.82 (41) sum(all_4_71, all_4_67) = all_4_65
% 261.24/66.82 (42) sum(all_4_60, all_4_59) = all_4_58
% 261.24/66.82 (43) sum(n5, n5) = n10
% 261.24/66.82 (44) all_4_99 = n8
% 261.24/66.82 (45) sum(all_4_41, all_4_40) = all_4_90
% 261.24/66.82 (46) succ(n2) = n3
% 261.24/66.82 (47) sum(all_4_68, all_4_67) = all_4_66
% 261.24/66.82 (48) succ(n6) = n7
% 261.24/66.82 (49) succ(n8) = n9
% 261.24/66.82 (50) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.82 (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.82 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.82 (52) sum(all_4_45, all_4_42) = all_4_91
% 261.24/66.82 (53) sum(n9, n9) = n7
% 261.24/66.82 (54) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.82 (55) sum(n4, n4) = all_4_99
% 261.24/66.82 (56) sum(all_4_44, all_4_43) = all_4_42
% 261.24/66.82 (57) pred(n10) = n9
% 261.24/66.82 (58) sum(all_4_69, all_4_66) = all_4_97
% 261.24/66.82 (59) sum(n7, n9) = n5
% 261.24/66.82 (60) pred(n2) = n1
% 261.24/66.82 (61) succ(all_4_98) = all_4_70
% 261.24/66.82 (62) all_4_98 = n8
% 261.24/66.82 (63) pred(all_4_90) = all_4_36
% 261.24/66.82 (64) sum(all_4_68, all_4_70) = all_4_64
% 261.24/66.82 (65) succ(all_4_97) = all_4_59
% 261.24/66.82 (66) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.82 (67) sum(all_4_61, all_4_58) = all_4_95
% 261.24/66.82 (68) sum(all_4_49, all_4_48) = all_4_92
% 261.24/66.82 (69) sum(n1, n3) = n4
% 261.24/66.82 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.82 | ~ (pred(v2) = v0))
% 261.24/66.82 (71) sum(n1, n1) = n2
% 261.24/66.82 (72) sum(all_4_52, all_4_51) = all_4_50
% 261.24/66.82 (73) sum(all_4_53, all_4_50) = all_4_93
% 261.24/66.82 (74) succ(all_4_93) = all_4_43
% 261.24/66.82 (75) pred(all_4_98) = all_4_68
% 261.24/66.82 (76) pred(all_4_94) = all_4_52
% 261.24/66.82
% 261.24/66.82 Begin of proof
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (62), (75) imply:
% 261.24/66.82 | (77) pred(n8) = all_4_68
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (18), (44) imply:
% 261.24/66.82 | (78) pred(n8) = all_4_71
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (61), (62) imply:
% 261.24/66.82 | (79) succ(n8) = all_4_70
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (31), (44) imply:
% 261.24/66.82 | (80) succ(n8) = all_4_67
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (44), (55) imply:
% 261.24/66.82 | (81) sum(n4, n4) = n8
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with n9, all_4_67, n8, simplifying with (49),
% 261.24/66.82 | (80) gives:
% 261.24/66.82 | (82) all_4_67 = n9
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with all_4_70, all_4_67, n8, simplifying with
% 261.24/66.82 | (79), (80) gives:
% 261.24/66.82 | (83) all_4_67 = all_4_70
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with n7, all_4_68, n8, simplifying with (17),
% 261.24/66.82 | (77) gives:
% 261.24/66.82 | (84) all_4_68 = n7
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with all_4_71, all_4_68, n8, simplifying with
% 261.24/66.82 | (77), (78) gives:
% 261.24/66.82 | (85) all_4_68 = all_4_71
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (82), (83) imply:
% 261.24/66.82 | (86) all_4_70 = n9
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (84), (85) imply:
% 261.24/66.82 | (87) all_4_71 = n7
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (47), (82), (84) imply:
% 261.24/66.82 | (88) sum(n7, n9) = all_4_66
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (64), (84), (86) imply:
% 261.24/66.82 | (89) sum(n7, n9) = all_4_64
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (41), (82), (87) imply:
% 261.24/66.82 | (90) sum(n7, n9) = all_4_65
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (10), (86), (87) imply:
% 261.24/66.82 | (91) sum(n7, n9) = all_4_69
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n5, all_4_65, n9, n7, simplifying with
% 261.24/66.82 | (59), (90) gives:
% 261.24/66.82 | (92) all_4_65 = n5
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_66, all_4_65, n9, n7, simplifying
% 261.24/66.82 | with (88), (90) gives:
% 261.24/66.82 | (93) all_4_65 = all_4_66
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_66, all_4_64, n9, n7, simplifying
% 261.24/66.82 | with (88), (89) gives:
% 261.24/66.82 | (94) all_4_64 = all_4_66
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_69, all_4_64, n9, n7, simplifying
% 261.24/66.82 | with (89), (91) gives:
% 261.24/66.82 | (95) all_4_64 = all_4_69
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (94), (95) imply:
% 261.24/66.82 | (96) all_4_66 = all_4_69
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (96) implies:
% 261.24/66.82 | (97) all_4_66 = all_4_69
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (92), (93) imply:
% 261.24/66.82 | (98) all_4_66 = n5
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (98) implies:
% 261.24/66.82 | (99) all_4_66 = n5
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (97), (99) imply:
% 261.24/66.82 | (100) all_4_69 = n5
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (95), (100) imply:
% 261.24/66.82 | (101) all_4_64 = n5
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (27), (92), (101) imply:
% 261.24/66.82 | (102) sum(n5, n5) = all_4_96
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (58), (99), (100) imply:
% 261.24/66.82 | (103) sum(n5, n5) = all_4_97
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n10, all_4_96, n5, n5, simplifying with
% 261.24/66.82 | (43), (102) gives:
% 261.24/66.82 | (104) all_4_96 = n10
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_97, all_4_96, n5, n5, simplifying
% 261.24/66.82 | with (102), (103) gives:
% 261.24/66.82 | (105) all_4_96 = all_4_97
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (104), (105) imply:
% 261.24/66.82 | (106) all_4_97 = n10
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (106) implies:
% 261.24/66.82 | (107) all_4_97 = n10
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (33), (104) imply:
% 261.24/66.82 | (108) pred(n10) = all_4_60
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (30), (107) imply:
% 261.24/66.82 | (109) pred(n10) = all_4_63
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (34), (104) imply:
% 261.24/66.82 | (110) succ(n10) = all_4_62
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (65), (107) imply:
% 261.24/66.82 | (111) succ(n10) = all_4_59
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with n0, all_4_59, n10, simplifying with (28),
% 261.24/66.82 | (111) gives:
% 261.24/66.82 | (112) all_4_59 = n0
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with all_4_62, all_4_59, n10, simplifying with
% 261.24/66.82 | (110), (111) gives:
% 261.24/66.82 | (113) all_4_59 = all_4_62
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with n9, all_4_60, n10, simplifying with (57),
% 261.24/66.82 | (108) gives:
% 261.24/66.82 | (114) all_4_60 = n9
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with all_4_63, all_4_60, n10, simplifying with
% 261.24/66.82 | (108), (109) gives:
% 261.24/66.82 | (115) all_4_60 = all_4_63
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (112), (113) imply:
% 261.24/66.82 | (116) all_4_62 = n0
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (114), (115) imply:
% 261.24/66.82 | (117) all_4_63 = n9
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (42), (112), (114) imply:
% 261.24/66.82 | (118) sum(n9, n0) = all_4_58
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (9), (114), (116) imply:
% 261.24/66.82 | (119) sum(n9, n0) = all_4_56
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (13), (112), (117) imply:
% 261.24/66.82 | (120) sum(n9, n0) = all_4_57
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (14), (116), (117) imply:
% 261.24/66.82 | (121) sum(n9, n0) = all_4_61
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n9, all_4_57, n0, n9, simplifying with
% 261.24/66.82 | (6), (120) gives:
% 261.24/66.82 | (122) all_4_57 = n9
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_58, all_4_57, n0, n9, simplifying
% 261.24/66.82 | with (118), (120) gives:
% 261.24/66.82 | (123) all_4_57 = all_4_58
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_57, all_4_56, n0, n9, simplifying
% 261.24/66.82 | with (119), (120) gives:
% 261.24/66.82 | (124) all_4_56 = all_4_57
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_61, all_4_56, n0, n9, simplifying
% 261.24/66.82 | with (119), (121) gives:
% 261.24/66.82 | (125) all_4_56 = all_4_61
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (124), (125) imply:
% 261.24/66.82 | (126) all_4_57 = all_4_61
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (126) implies:
% 261.24/66.82 | (127) all_4_57 = all_4_61
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (122), (123) imply:
% 261.24/66.82 | (128) all_4_58 = n9
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (123), (127) imply:
% 261.24/66.82 | (129) all_4_58 = all_4_61
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (128), (129) imply:
% 261.24/66.82 | (130) all_4_61 = n9
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (125), (130) imply:
% 261.24/66.82 | (131) all_4_56 = n9
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (21), (122), (131) imply:
% 261.24/66.82 | (132) sum(n9, n9) = all_4_94
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (67), (128), (130) imply:
% 261.24/66.82 | (133) sum(n9, n9) = all_4_95
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n7, all_4_94, n9, n9, simplifying with
% 261.24/66.82 | (53), (132) gives:
% 261.24/66.82 | (134) all_4_94 = n7
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_95, all_4_94, n9, n9, simplifying
% 261.24/66.82 | with (132), (133) gives:
% 261.24/66.82 | (135) all_4_94 = all_4_95
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (134), (135) imply:
% 261.24/66.82 | (136) all_4_95 = n7
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (76), (134) imply:
% 261.24/66.82 | (137) pred(n7) = all_4_52
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (4), (136) imply:
% 261.24/66.82 | (138) pred(n7) = all_4_55
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (15), (134) imply:
% 261.24/66.82 | (139) succ(n7) = all_4_54
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (1), (136) imply:
% 261.24/66.82 | (140) succ(n7) = all_4_51
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with n8, all_4_51, n7, simplifying with (38),
% 261.24/66.82 | (140) gives:
% 261.24/66.82 | (141) all_4_51 = n8
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with all_4_54, all_4_51, n7, simplifying with
% 261.24/66.82 | (139), (140) gives:
% 261.24/66.82 | (142) all_4_51 = all_4_54
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with n6, all_4_52, n7, simplifying with (36),
% 261.24/66.82 | (137) gives:
% 261.24/66.82 | (143) all_4_52 = n6
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with all_4_55, all_4_52, n7, simplifying with
% 261.24/66.82 | (137), (138) gives:
% 261.24/66.82 | (144) all_4_52 = all_4_55
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (141), (142) imply:
% 261.24/66.82 | (145) all_4_54 = n8
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (143), (144) imply:
% 261.24/66.82 | (146) all_4_55 = n6
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (146) implies:
% 261.24/66.82 | (147) all_4_55 = n6
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (72), (141), (143) imply:
% 261.24/66.82 | (148) sum(n6, n8) = all_4_50
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (7), (143), (145) imply:
% 261.24/66.82 | (149) sum(n6, n8) = all_4_48
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (35), (141), (147) imply:
% 261.24/66.82 | (150) sum(n6, n8) = all_4_49
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (11), (145), (147) imply:
% 261.24/66.82 | (151) sum(n6, n8) = all_4_53
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n3, all_4_49, n8, n6, simplifying with
% 261.24/66.82 | (20), (150) gives:
% 261.24/66.82 | (152) all_4_49 = n3
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_50, all_4_49, n8, n6, simplifying
% 261.24/66.82 | with (148), (150) gives:
% 261.24/66.82 | (153) all_4_49 = all_4_50
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_49, all_4_48, n8, n6, simplifying
% 261.24/66.82 | with (149), (150) gives:
% 261.24/66.82 | (154) all_4_48 = all_4_49
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_53, all_4_48, n8, n6, simplifying
% 261.24/66.82 | with (149), (151) gives:
% 261.24/66.82 | (155) all_4_48 = all_4_53
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (154), (155) imply:
% 261.24/66.82 | (156) all_4_49 = all_4_53
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (156) implies:
% 261.24/66.82 | (157) all_4_49 = all_4_53
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (152), (153) imply:
% 261.24/66.82 | (158) all_4_50 = n3
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (153), (157) imply:
% 261.24/66.82 | (159) all_4_50 = all_4_53
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (158), (159) imply:
% 261.24/66.82 | (160) all_4_53 = n3
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (155), (160) imply:
% 261.24/66.82 | (161) all_4_48 = n3
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (68), (152), (161) imply:
% 261.24/66.82 | (162) sum(n3, n3) = all_4_92
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (73), (158), (160) imply:
% 261.24/66.82 | (163) sum(n3, n3) = all_4_93
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n6, all_4_92, n3, n3, simplifying with
% 261.24/66.82 | (8), (162) gives:
% 261.24/66.82 | (164) all_4_92 = n6
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_93, all_4_92, n3, n3, simplifying
% 261.24/66.82 | with (162), (163) gives:
% 261.24/66.82 | (165) all_4_92 = all_4_93
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (164), (165) imply:
% 261.24/66.82 | (166) all_4_93 = n6
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (166) implies:
% 261.24/66.82 | (167) all_4_93 = n6
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (25), (164) imply:
% 261.24/66.82 | (168) pred(n6) = all_4_44
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (40), (167) imply:
% 261.24/66.82 | (169) pred(n6) = all_4_47
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (3), (164) imply:
% 261.24/66.82 | (170) succ(n6) = all_4_46
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (74), (167) imply:
% 261.24/66.82 | (171) succ(n6) = all_4_43
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with n7, all_4_43, n6, simplifying with (48),
% 261.24/66.82 | (171) gives:
% 261.24/66.82 | (172) all_4_43 = n7
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with all_4_46, all_4_43, n6, simplifying with
% 261.24/66.82 | (170), (171) gives:
% 261.24/66.82 | (173) all_4_43 = all_4_46
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with n5, all_4_44, n6, simplifying with (32),
% 261.24/66.82 | (168) gives:
% 261.24/66.82 | (174) all_4_44 = n5
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (70) with all_4_47, all_4_44, n6, simplifying with
% 261.24/66.82 | (168), (169) gives:
% 261.24/66.82 | (175) all_4_44 = all_4_47
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (172), (173) imply:
% 261.24/66.82 | (176) all_4_46 = n7
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (174), (175) imply:
% 261.24/66.82 | (177) all_4_47 = n5
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (56), (172), (174) imply:
% 261.24/66.82 | (178) sum(n5, n7) = all_4_42
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (5), (174), (176) imply:
% 261.24/66.82 | (179) sum(n5, n7) = all_4_40
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (23), (172), (177) imply:
% 261.24/66.82 | (180) sum(n5, n7) = all_4_41
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (39), (176), (177) imply:
% 261.24/66.82 | (181) sum(n5, n7) = all_4_45
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n1, all_4_41, n7, n5, simplifying with
% 261.24/66.82 | (26), (180) gives:
% 261.24/66.82 | (182) all_4_41 = n1
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_42, all_4_41, n7, n5, simplifying
% 261.24/66.82 | with (178), (180) gives:
% 261.24/66.82 | (183) all_4_41 = all_4_42
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_41, all_4_40, n7, n5, simplifying
% 261.24/66.82 | with (179), (180) gives:
% 261.24/66.82 | (184) all_4_40 = all_4_41
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_45, all_4_40, n7, n5, simplifying
% 261.24/66.82 | with (179), (181) gives:
% 261.24/66.82 | (185) all_4_40 = all_4_45
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (184), (185) imply:
% 261.24/66.82 | (186) all_4_41 = all_4_45
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (186) implies:
% 261.24/66.82 | (187) all_4_41 = all_4_45
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (182), (183) imply:
% 261.24/66.82 | (188) all_4_42 = n1
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (183), (187) imply:
% 261.24/66.82 | (189) all_4_42 = all_4_45
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (188), (189) imply:
% 261.24/66.82 | (190) all_4_45 = n1
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (190) implies:
% 261.24/66.82 | (191) all_4_45 = n1
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (185), (191) imply:
% 261.24/66.82 | (192) all_4_40 = n1
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (45), (182), (192) imply:
% 261.24/66.82 | (193) sum(n1, n1) = all_4_90
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (52), (188), (191) imply:
% 261.24/66.82 | (194) sum(n1, n1) = all_4_91
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with n2, all_4_90, n1, n1, simplifying with
% 261.24/66.82 | (71), (193) gives:
% 261.24/66.82 | (195) all_4_90 = n2
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (51) with all_4_91, all_4_90, n1, n1, simplifying
% 261.24/66.82 | with (193), (194) gives:
% 261.24/66.82 | (196) all_4_90 = all_4_91
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (195), (196) imply:
% 261.24/66.82 | (197) all_4_91 = n2
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (197) implies:
% 261.24/66.82 | (198) all_4_91 = n2
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (63), (195) imply:
% 261.24/66.82 | (199) pred(n2) = all_4_36
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (24), (198) imply:
% 261.24/66.82 | (200) pred(n2) = all_4_39
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (19), (195) imply:
% 261.24/66.82 | (201) succ(n2) = all_4_38
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (2), (198) imply:
% 261.24/66.82 | (202) succ(n2) = all_4_35
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (29) with n3, all_4_35, n2, simplifying with (46),
% 261.24/66.82 | (202) gives:
% 261.24/66.82 | (203) all_4_35 = n3
% 261.24/66.82 |
% 261.24/66.82 | REF_CLOSE: (12), (16), (22), (29), (37), (50), (51), (54), (60), (66), (69),
% 261.24/66.82 | (70), (81), (199), (200), (201), (202), (203) are inconsistent by
% 261.24/66.82 | sub-proof #139.
% 261.24/66.82 |
% 261.24/66.82 End of proof
% 261.24/66.82
% 261.24/66.82 Sub-proof #139 shows that the following formulas are inconsistent:
% 261.24/66.82 ----------------------------------------------------------------
% 261.24/66.82 (1) succ(n2) = all_4_38
% 261.24/66.82 (2) succ(n2) = all_4_35
% 261.24/66.82 (3) ~ (all_4_88 = all_4_89)
% 261.24/66.82 (4) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.82 (5) pred(n2) = all_4_36
% 261.24/66.82 (6) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.82 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.24/66.82 ~ (succ(v2) = v0))
% 261.24/66.82 (8) pred(n2) = all_4_39
% 261.24/66.82 (9) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.82 (10) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.82 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.82 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.82 (12) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.82 (13) all_4_35 = n3
% 261.24/66.82 (14) pred(n2) = n1
% 261.24/66.82 (15) sum(n4, n4) = n8
% 261.24/66.82 (16) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.82 (17) sum(n1, n3) = n4
% 261.24/66.82 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.82 | ~ (pred(v2) = v0))
% 261.24/66.82
% 261.24/66.82 Begin of proof
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (7) with all_4_38, all_4_35, n2, simplifying with
% 261.24/66.82 | (1), (2) gives:
% 261.24/66.82 | (19) all_4_35 = all_4_38
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (18) with n1, all_4_36, n2, simplifying with (5),
% 261.24/66.82 | (14) gives:
% 261.24/66.82 | (20) all_4_36 = n1
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (18) with all_4_39, all_4_36, n2, simplifying with
% 261.24/66.82 | (5), (8) gives:
% 261.24/66.82 | (21) all_4_36 = all_4_39
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (13), (19) imply:
% 261.24/66.82 | (22) all_4_38 = n3
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (20), (21) imply:
% 261.24/66.82 | (23) all_4_39 = n1
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (9), (13), (20) imply:
% 261.24/66.82 | (24) sum(n1, n3) = all_4_34
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (16), (20), (22) imply:
% 261.24/66.82 | (25) sum(n1, n3) = all_4_32
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (10), (13), (23) imply:
% 261.24/66.82 | (26) sum(n1, n3) = all_4_33
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (12), (22), (23) imply:
% 261.24/66.82 | (27) sum(n1, n3) = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (11) with n4, all_4_33, n3, n1, simplifying with
% 261.24/66.82 | (17), (26) gives:
% 261.24/66.82 | (28) all_4_33 = n4
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (11) with all_4_34, all_4_33, n3, n1, simplifying
% 261.24/66.82 | with (24), (26) gives:
% 261.24/66.82 | (29) all_4_33 = all_4_34
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (11) with all_4_33, all_4_32, n3, n1, simplifying
% 261.24/66.82 | with (25), (26) gives:
% 261.24/66.82 | (30) all_4_32 = all_4_33
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (11) with all_4_37, all_4_32, n3, n1, simplifying
% 261.24/66.82 | with (25), (27) gives:
% 261.24/66.82 | (31) all_4_32 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (30), (31) imply:
% 261.24/66.82 | (32) all_4_33 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | SIMP: (32) implies:
% 261.24/66.82 | (33) all_4_33 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (28), (29) imply:
% 261.24/66.82 | (34) all_4_34 = n4
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (29), (33) imply:
% 261.24/66.82 | (35) all_4_34 = all_4_37
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (34), (35) imply:
% 261.24/66.82 | (36) all_4_37 = n4
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (31), (36) imply:
% 261.24/66.82 | (37) all_4_32 = n4
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (6), (28), (37) imply:
% 261.24/66.82 | (38) sum(n4, n4) = all_4_88
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (4), (34), (36) imply:
% 261.24/66.82 | (39) sum(n4, n4) = all_4_89
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (11) with n8, all_4_88, n4, n4, simplifying with
% 261.24/66.82 | (15), (38) gives:
% 261.24/66.82 | (40) all_4_88 = n8
% 261.24/66.82 |
% 261.24/66.82 | GROUND_INST: instantiating (11) with all_4_89, all_4_88, n4, n4, simplifying
% 261.24/66.82 | with (38), (39) gives:
% 261.24/66.82 | (41) all_4_88 = all_4_89
% 261.24/66.82 |
% 261.24/66.82 | COMBINE_EQS: (40), (41) imply:
% 261.24/66.82 | (42) all_4_89 = n8
% 261.24/66.82 |
% 261.24/66.82 | REDUCE: (3), (40), (42) imply:
% 261.24/66.82 | (43) $false
% 261.24/66.82 |
% 261.24/66.82 | CLOSE: (43) is inconsistent.
% 261.24/66.82 |
% 261.24/66.82 End of proof
% 261.24/66.82
% 261.24/66.82 Sub-proof #140 shows that the following formulas are inconsistent:
% 261.24/66.82 ----------------------------------------------------------------
% 261.24/66.82 (1) ~ (all_4_88 = all_4_89)
% 261.24/66.82 (2) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.82 (3) pred(n8) = n7
% 261.24/66.82 (4) all_4_35 = n9
% 261.24/66.82 (5) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.82 (6) pred(n8) = all_4_36
% 261.24/66.82 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.24/66.82 ~ (succ(v2) = v0))
% 261.24/66.82 (8) succ(n8) = all_4_38
% 261.24/66.82 (9) succ(n8) = all_4_35
% 261.24/66.82 (10) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.82 (11) sum(n5, n5) = n10
% 261.24/66.82 (12) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.82 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.82 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.82 (14) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.83 (15) sum(n7, n9) = n5
% 261.24/66.83 (16) pred(n8) = all_4_39
% 261.24/66.83 (17) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.83 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.83 | ~ (pred(v2) = v0))
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (7) with all_4_38, all_4_35, n8, simplifying with
% 261.24/66.83 | (8), (9) gives:
% 261.24/66.83 | (19) all_4_35 = all_4_38
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (18) with n7, all_4_36, n8, simplifying with (3),
% 261.24/66.83 | (6) gives:
% 261.24/66.83 | (20) all_4_36 = n7
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (18) with all_4_39, all_4_36, n8, simplifying with
% 261.24/66.83 | (6), (16) gives:
% 261.24/66.83 | (21) all_4_36 = all_4_39
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (4), (19) imply:
% 261.24/66.83 | (22) all_4_38 = n9
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (20), (21) imply:
% 261.24/66.83 | (23) all_4_39 = n7
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (4), (10), (20) imply:
% 261.24/66.83 | (24) sum(n7, n9) = all_4_34
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (17), (20), (22) imply:
% 261.24/66.83 | (25) sum(n7, n9) = all_4_32
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (4), (12), (23) imply:
% 261.24/66.83 | (26) sum(n7, n9) = all_4_33
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (14), (22), (23) imply:
% 261.24/66.83 | (27) sum(n7, n9) = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (13) with n5, all_4_33, n9, n7, simplifying with
% 261.24/66.83 | (15), (26) gives:
% 261.24/66.83 | (28) all_4_33 = n5
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (13) with all_4_34, all_4_33, n9, n7, simplifying
% 261.24/66.83 | with (24), (26) gives:
% 261.24/66.83 | (29) all_4_33 = all_4_34
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (13) with all_4_33, all_4_32, n9, n7, simplifying
% 261.24/66.83 | with (25), (26) gives:
% 261.24/66.83 | (30) all_4_32 = all_4_33
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (13) with all_4_37, all_4_32, n9, n7, simplifying
% 261.24/66.83 | with (25), (27) gives:
% 261.24/66.83 | (31) all_4_32 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (30), (31) imply:
% 261.24/66.83 | (32) all_4_33 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (32) implies:
% 261.24/66.83 | (33) all_4_33 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (28), (29) imply:
% 261.24/66.83 | (34) all_4_34 = n5
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (29), (33) imply:
% 261.24/66.83 | (35) all_4_34 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (34), (35) imply:
% 261.24/66.83 | (36) all_4_37 = n5
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (31), (36) imply:
% 261.24/66.83 | (37) all_4_32 = n5
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (5), (28), (37) imply:
% 261.24/66.83 | (38) sum(n5, n5) = all_4_88
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (2), (34), (36) imply:
% 261.24/66.83 | (39) sum(n5, n5) = all_4_89
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (13) with n10, all_4_88, n5, n5, simplifying with
% 261.24/66.83 | (11), (38) gives:
% 261.24/66.83 | (40) all_4_88 = n10
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (13) with all_4_89, all_4_88, n5, n5, simplifying
% 261.24/66.83 | with (38), (39) gives:
% 261.24/66.83 | (41) all_4_88 = all_4_89
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (40), (41) imply:
% 261.24/66.83 | (42) all_4_89 = n10
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (1), (40), (42) imply:
% 261.24/66.83 | (43) $false
% 261.24/66.83 |
% 261.24/66.83 | CLOSE: (43) is inconsistent.
% 261.24/66.83 |
% 261.24/66.83 End of proof
% 261.24/66.83
% 261.24/66.83 Sub-proof #141 shows that the following formulas are inconsistent:
% 261.24/66.83 ----------------------------------------------------------------
% 261.24/66.83 (1) all_4_94 = n5
% 261.24/66.83 (2) all_4_97 = n4
% 261.24/66.83 (3) all_4_96 = n4
% 261.24/66.83 (4) all_4_92 = n9
% 261.24/66.83 (5) all_4_90 = n3
% 261.24/66.83 (6) all_4_93 = n9
% 261.24/66.83 (7) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.24/66.83 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.24/66.83 (8) all_4_99 = n1
% 261.24/66.83 (9) all_4_98 = n1
% 261.24/66.83 (10) all_4_95 = n5
% 261.24/66.83 (11) all_4_91 = n3
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | BETA: splitting (7) gives:
% 261.24/66.83 |
% 261.24/66.83 | Case 1:
% 261.24/66.83 | |
% 261.24/66.83 | | (12) ~ (all_4_90 = all_4_91)
% 261.24/66.83 | |
% 261.24/66.83 | | REDUCE: (5), (11), (12) imply:
% 261.24/66.83 | | (13) $false
% 261.24/66.83 | |
% 261.24/66.83 | | CLOSE: (13) is inconsistent.
% 261.24/66.83 | |
% 261.24/66.83 | Case 2:
% 261.24/66.83 | |
% 261.24/66.83 | | (14) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.24/66.83 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 261.24/66.83 | |
% 261.24/66.83 | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (14) are inconsistent by
% 261.24/66.83 | | sub-proof #142.
% 261.24/66.83 | |
% 261.24/66.83 | End of split
% 261.24/66.83 |
% 261.24/66.83 End of proof
% 261.24/66.83
% 261.24/66.83 Sub-proof #142 shows that the following formulas are inconsistent:
% 261.24/66.83 ----------------------------------------------------------------
% 261.24/66.83 (1) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.24/66.83 all_4_97) | ~ (all_4_98 = all_4_99)
% 261.24/66.83 (2) all_4_94 = n5
% 261.24/66.83 (3) all_4_97 = n4
% 261.24/66.83 (4) all_4_96 = n4
% 261.24/66.83 (5) all_4_92 = n9
% 261.24/66.83 (6) all_4_93 = n9
% 261.24/66.83 (7) all_4_99 = n1
% 261.24/66.83 (8) all_4_98 = n1
% 261.24/66.83 (9) all_4_95 = n5
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | BETA: splitting (1) gives:
% 261.24/66.83 |
% 261.24/66.83 | Case 1:
% 261.24/66.83 | |
% 261.24/66.83 | | (10) ~ (all_4_92 = all_4_93)
% 261.24/66.83 | |
% 261.24/66.83 | | REDUCE: (5), (6), (10) imply:
% 261.24/66.83 | | (11) $false
% 261.24/66.83 | |
% 261.24/66.83 | | CLOSE: (11) is inconsistent.
% 261.24/66.83 | |
% 261.24/66.83 | Case 2:
% 261.24/66.83 | |
% 261.24/66.83 | | (12) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.24/66.83 | | all_4_99)
% 261.24/66.83 | |
% 261.24/66.83 | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (12) are inconsistent by sub-proof
% 261.24/66.83 | | #143.
% 261.24/66.83 | |
% 261.24/66.83 | End of split
% 261.24/66.83 |
% 261.24/66.83 End of proof
% 261.24/66.83
% 261.24/66.83 Sub-proof #143 shows that the following formulas are inconsistent:
% 261.24/66.83 ----------------------------------------------------------------
% 261.24/66.83 (1) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.24/66.83 all_4_99)
% 261.24/66.83 (2) all_4_94 = n5
% 261.24/66.83 (3) all_4_97 = n4
% 261.24/66.83 (4) all_4_96 = n4
% 261.24/66.83 (5) all_4_99 = n1
% 261.24/66.83 (6) all_4_98 = n1
% 261.24/66.83 (7) all_4_95 = n5
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | BETA: splitting (1) gives:
% 261.24/66.83 |
% 261.24/66.83 | Case 1:
% 261.24/66.83 | |
% 261.24/66.83 | | (8) ~ (all_4_94 = all_4_95)
% 261.24/66.83 | |
% 261.24/66.83 | | REDUCE: (2), (7), (8) imply:
% 261.24/66.83 | | (9) $false
% 261.24/66.83 | |
% 261.24/66.83 | | CLOSE: (9) is inconsistent.
% 261.24/66.83 | |
% 261.24/66.83 | Case 2:
% 261.24/66.83 | |
% 261.24/66.83 | | (10) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.24/66.83 | |
% 261.24/66.83 | | REF_CLOSE: (3), (4), (5), (6), (10) are inconsistent by sub-proof #144.
% 261.24/66.83 | |
% 261.24/66.83 | End of split
% 261.24/66.83 |
% 261.24/66.83 End of proof
% 261.24/66.83
% 261.24/66.83 Sub-proof #144 shows that the following formulas are inconsistent:
% 261.24/66.83 ----------------------------------------------------------------
% 261.24/66.83 (1) all_4_97 = n4
% 261.24/66.83 (2) all_4_96 = n4
% 261.24/66.83 (3) all_4_99 = n1
% 261.24/66.83 (4) all_4_98 = n1
% 261.24/66.83 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | BETA: splitting (5) gives:
% 261.24/66.83 |
% 261.24/66.83 | Case 1:
% 261.24/66.83 | |
% 261.24/66.83 | | (6) ~ (all_4_96 = all_4_97)
% 261.24/66.83 | |
% 261.24/66.83 | | REDUCE: (1), (2), (6) imply:
% 261.24/66.83 | | (7) $false
% 261.24/66.83 | |
% 261.24/66.83 | | CLOSE: (7) is inconsistent.
% 261.24/66.83 | |
% 261.24/66.83 | Case 2:
% 261.24/66.83 | |
% 261.24/66.83 | | (8) ~ (all_4_98 = all_4_99)
% 261.24/66.83 | |
% 261.24/66.83 | | REDUCE: (3), (4), (8) imply:
% 261.24/66.83 | | (9) $false
% 261.24/66.83 | |
% 261.24/66.83 | | CLOSE: (9) is inconsistent.
% 261.24/66.83 | |
% 261.24/66.83 | End of split
% 261.24/66.83 |
% 261.24/66.83 End of proof
% 261.24/66.83
% 261.24/66.83 Sub-proof #145 shows that the following formulas are inconsistent:
% 261.24/66.83 ----------------------------------------------------------------
% 261.24/66.83 (1) sum(n2, n4) = n6
% 261.24/66.83 (2) ~ (all_4_88 = all_4_89)
% 261.24/66.83 (3) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.83 (4) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.83 (5) all_4_35 = n4
% 261.24/66.83 (6) pred(n3) = all_4_39
% 261.24/66.83 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.24/66.83 ~ (succ(v2) = v0))
% 261.24/66.83 (8) pred(n3) = all_4_36
% 261.24/66.83 (9) pred(n3) = n2
% 261.24/66.83 (10) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.83 (11) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.83 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.83 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.83 (13) succ(n3) = all_4_35
% 261.24/66.83 (14) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.83 (15) sum(n6, n6) = n1
% 261.24/66.83 (16) succ(n3) = all_4_38
% 261.24/66.83 (17) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.83 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.83 | ~ (pred(v2) = v0))
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (7) with all_4_38, all_4_35, n3, simplifying with
% 261.24/66.83 | (13), (16) gives:
% 261.24/66.83 | (19) all_4_35 = all_4_38
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (18) with n2, all_4_36, n3, simplifying with (8),
% 261.24/66.83 | (9) gives:
% 261.24/66.83 | (20) all_4_36 = n2
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (18) with all_4_39, all_4_36, n3, simplifying with
% 261.24/66.83 | (6), (8) gives:
% 261.24/66.83 | (21) all_4_36 = all_4_39
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (5), (19) imply:
% 261.24/66.83 | (22) all_4_38 = n4
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (20), (21) imply:
% 261.24/66.83 | (23) all_4_39 = n2
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (5), (10), (20) imply:
% 261.24/66.83 | (24) sum(n2, n4) = all_4_34
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (17), (20), (22) imply:
% 261.24/66.83 | (25) sum(n2, n4) = all_4_32
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (5), (11), (23) imply:
% 261.24/66.83 | (26) sum(n2, n4) = all_4_33
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (14), (22), (23) imply:
% 261.24/66.83 | (27) sum(n2, n4) = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (12) with n6, all_4_33, n4, n2, simplifying with
% 261.24/66.83 | (1), (26) gives:
% 261.24/66.83 | (28) all_4_33 = n6
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (12) with all_4_34, all_4_33, n4, n2, simplifying
% 261.24/66.83 | with (24), (26) gives:
% 261.24/66.83 | (29) all_4_33 = all_4_34
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (12) with all_4_33, all_4_32, n4, n2, simplifying
% 261.24/66.83 | with (25), (26) gives:
% 261.24/66.83 | (30) all_4_32 = all_4_33
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (12) with all_4_37, all_4_32, n4, n2, simplifying
% 261.24/66.83 | with (25), (27) gives:
% 261.24/66.83 | (31) all_4_32 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (30), (31) imply:
% 261.24/66.83 | (32) all_4_33 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (32) implies:
% 261.24/66.83 | (33) all_4_33 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (28), (29) imply:
% 261.24/66.83 | (34) all_4_34 = n6
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (29), (33) imply:
% 261.24/66.83 | (35) all_4_34 = all_4_37
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (34), (35) imply:
% 261.24/66.83 | (36) all_4_37 = n6
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (31), (36) imply:
% 261.24/66.83 | (37) all_4_32 = n6
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (4), (28), (37) imply:
% 261.24/66.83 | (38) sum(n6, n6) = all_4_88
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (3), (34), (36) imply:
% 261.24/66.83 | (39) sum(n6, n6) = all_4_89
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (12) with n1, all_4_88, n6, n6, simplifying with
% 261.24/66.83 | (15), (38) gives:
% 261.24/66.83 | (40) all_4_88 = n1
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (12) with all_4_89, all_4_88, n6, n6, simplifying
% 261.24/66.83 | with (38), (39) gives:
% 261.24/66.83 | (41) all_4_88 = all_4_89
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (40), (41) imply:
% 261.24/66.83 | (42) all_4_89 = n1
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (2), (40), (42) imply:
% 261.24/66.83 | (43) $false
% 261.24/66.83 |
% 261.24/66.83 | CLOSE: (43) is inconsistent.
% 261.24/66.83 |
% 261.24/66.83 End of proof
% 261.24/66.83
% 261.24/66.83 Sub-proof #146 shows that the following formulas are inconsistent:
% 261.24/66.83 ----------------------------------------------------------------
% 261.24/66.83 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.24/66.83 (2) succ(all_4_95) = all_4_51
% 261.24/66.83 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.24/66.83 (4) succ(n1) = n2
% 261.24/66.83 (5) succ(all_4_91) = all_4_35
% 261.24/66.83 (6) sum(n4, n6) = n10
% 261.24/66.83 (7) succ(all_4_92) = all_4_46
% 261.24/66.83 (8) succ(all_4_89) = all_4_27
% 261.24/66.83 (9) sum(n2, n2) = n4
% 261.24/66.83 (10) pred(all_4_95) = all_4_55
% 261.24/66.83 (11) sum(all_4_44, all_4_46) = all_4_40
% 261.24/66.83 (12) all_4_98 = n9
% 261.24/66.83 (13) sum(all_4_28, all_4_30) = all_4_24
% 261.24/66.83 (14) succ(n9) = n10
% 261.24/66.83 (15) sum(all_4_52, all_4_54) = all_4_48
% 261.24/66.83 (16) sum(all_4_60, all_4_62) = all_4_56
% 261.24/66.83 (17) sum(all_4_71, all_4_70) = all_4_69
% 261.24/66.83 (18) sum(all_4_55, all_4_54) = all_4_53
% 261.24/66.83 (19) sum(n2, n4) = n6
% 261.24/66.83 (20) sum(all_4_63, all_4_59) = all_4_57
% 261.24/66.83 (21) sum(all_4_31, all_4_27) = all_4_25
% 261.24/66.83 (22) sum(all_4_63, all_4_62) = all_4_61
% 261.24/66.83 (23) succ(all_4_94) = all_4_54
% 261.24/66.83 (24) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.83 (25) sum(n8, n8) = n5
% 261.24/66.83 (26) pred(all_4_99) = all_4_71
% 261.24/66.83 (27) succ(all_4_90) = all_4_38
% 261.24/66.83 (28) pred(all_4_88) = all_4_28
% 261.24/66.83 (29) sum(all_4_31, all_4_30) = all_4_29
% 261.24/66.83 (30) sum(n8, n10) = n7
% 261.24/66.83 (31) sum(all_4_57, all_4_56) = all_4_94
% 261.24/66.83 (32) sum(n0, n2) = n2
% 261.24/66.83 (33) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.83 (34) sum(n3, n5) = n8
% 261.24/66.83 (35) sum(all_4_47, all_4_43) = all_4_41
% 261.24/66.83 (36) pred(n5) = n4
% 261.24/66.83 (37) sum(all_4_29, all_4_26) = all_4_87
% 261.24/66.83 (38) pred(all_4_91) = all_4_39
% 261.24/66.83 (39) pred(all_4_89) = all_4_31
% 261.24/66.83 (40) pred(all_4_92) = all_4_44
% 261.24/66.83 (41) sum(all_4_65, all_4_64) = all_4_96
% 261.24/66.83 (42) pred(n4) = n3
% 261.24/66.83 (43) sum(n10, n10) = all_4_99
% 261.24/66.83 (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.24/66.83 | ~ (succ(v2) = v0))
% 261.24/66.83 (45) pred(all_4_97) = all_4_63
% 261.24/66.83 (46) succ(all_4_99) = all_4_67
% 261.24/66.83 (47) pred(n9) = n8
% 261.24/66.83 (48) succ(n3) = n4
% 261.24/66.83 (49) pred(all_4_96) = all_4_60
% 261.24/66.83 (50) succ(all_4_96) = all_4_62
% 261.24/66.83 (51) pred(n3) = n2
% 261.24/66.83 (52) succ(all_4_88) = all_4_30
% 261.24/66.83 (53) sum(all_4_55, all_4_51) = all_4_49
% 261.24/66.83 (54) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.83 (55) sum(all_4_47, all_4_46) = all_4_45
% 261.24/66.83 (56) pred(all_4_93) = all_4_47
% 261.24/66.83 (57) sum(all_4_71, all_4_67) = all_4_65
% 261.24/66.83 (58) sum(all_4_60, all_4_59) = all_4_58
% 261.24/66.83 (59) sum(all_4_41, all_4_40) = all_4_90
% 261.24/66.83 (60) sum(all_4_68, all_4_67) = all_4_66
% 261.24/66.83 (61) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.83 (62) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.83 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.83 (63) all_4_99 = n9
% 261.24/66.83 (64) sum(all_4_45, all_4_42) = all_4_91
% 261.24/66.83 (65) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.83 (66) sum(n6, n6) = n1
% 261.24/66.83 (67) sum(all_4_44, all_4_43) = all_4_42
% 261.24/66.83 (68) succ(n5) = n6
% 261.24/66.83 (69) sum(all_4_69, all_4_66) = all_4_97
% 261.24/66.83 (70) succ(n4) = n5
% 261.24/66.83 (71) succ(all_4_98) = all_4_70
% 261.24/66.83 (72) pred(all_4_90) = all_4_36
% 261.24/66.83 (73) pred(n1) = n0
% 261.24/66.83 (74) sum(all_4_68, all_4_70) = all_4_64
% 261.24/66.83 (75) succ(all_4_97) = all_4_59
% 261.24/66.83 (76) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.83 (77) sum(all_4_61, all_4_58) = all_4_95
% 261.24/66.83 (78) sum(n7, n7) = n3
% 261.24/66.83 (79) sum(all_4_49, all_4_48) = all_4_92
% 261.24/66.83 (80) ~ (all_4_86 = all_4_87)
% 261.24/66.83 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.83 | ~ (pred(v2) = v0))
% 261.24/66.83 (82) sum(all_4_52, all_4_51) = all_4_50
% 261.24/66.83 (83) sum(all_4_53, all_4_50) = all_4_93
% 261.24/66.83 (84) succ(all_4_93) = all_4_43
% 261.24/66.83 (85) pred(all_4_98) = all_4_68
% 261.24/66.83 (86) pred(all_4_94) = all_4_52
% 261.24/66.83
% 261.24/66.83 Begin of proof
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (12), (85) imply:
% 261.24/66.83 | (87) pred(n9) = all_4_68
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (26), (63) imply:
% 261.24/66.83 | (88) pred(n9) = all_4_71
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (12), (71) imply:
% 261.24/66.83 | (89) succ(n9) = all_4_70
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (46), (63) imply:
% 261.24/66.83 | (90) succ(n9) = all_4_67
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (43), (63) imply:
% 261.24/66.83 | (91) sum(n10, n10) = n9
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (44) with n10, all_4_67, n9, simplifying with (14),
% 261.24/66.83 | (90) gives:
% 261.24/66.83 | (92) all_4_67 = n10
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (44) with all_4_70, all_4_67, n9, simplifying with
% 261.24/66.83 | (89), (90) gives:
% 261.24/66.83 | (93) all_4_67 = all_4_70
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (81) with n8, all_4_68, n9, simplifying with (47),
% 261.24/66.83 | (87) gives:
% 261.24/66.83 | (94) all_4_68 = n8
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (81) with all_4_71, all_4_68, n9, simplifying with
% 261.24/66.83 | (87), (88) gives:
% 261.24/66.83 | (95) all_4_68 = all_4_71
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (92), (93) imply:
% 261.24/66.83 | (96) all_4_70 = n10
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (94), (95) imply:
% 261.24/66.83 | (97) all_4_71 = n8
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (60), (92), (94) imply:
% 261.24/66.83 | (98) sum(n8, n10) = all_4_66
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (74), (94), (96) imply:
% 261.24/66.83 | (99) sum(n8, n10) = all_4_64
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (57), (92), (97) imply:
% 261.24/66.83 | (100) sum(n8, n10) = all_4_65
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (17), (96), (97) imply:
% 261.24/66.83 | (101) sum(n8, n10) = all_4_69
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with n7, all_4_65, n10, n8, simplifying with
% 261.24/66.83 | (30), (100) gives:
% 261.24/66.83 | (102) all_4_65 = n7
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_66, all_4_65, n10, n8, simplifying
% 261.24/66.83 | with (98), (100) gives:
% 261.24/66.83 | (103) all_4_65 = all_4_66
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_66, all_4_64, n10, n8, simplifying
% 261.24/66.83 | with (98), (99) gives:
% 261.24/66.83 | (104) all_4_64 = all_4_66
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_69, all_4_64, n10, n8, simplifying
% 261.24/66.83 | with (99), (101) gives:
% 261.24/66.83 | (105) all_4_64 = all_4_69
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (104), (105) imply:
% 261.24/66.83 | (106) all_4_66 = all_4_69
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (106) implies:
% 261.24/66.83 | (107) all_4_66 = all_4_69
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (102), (103) imply:
% 261.24/66.83 | (108) all_4_66 = n7
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (108) implies:
% 261.24/66.83 | (109) all_4_66 = n7
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (107), (109) imply:
% 261.24/66.83 | (110) all_4_69 = n7
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (105), (110) imply:
% 261.24/66.83 | (111) all_4_64 = n7
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (41), (102), (111) imply:
% 261.24/66.83 | (112) sum(n7, n7) = all_4_96
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (69), (109), (110) imply:
% 261.24/66.83 | (113) sum(n7, n7) = all_4_97
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with n3, all_4_96, n7, n7, simplifying with
% 261.24/66.83 | (78), (112) gives:
% 261.24/66.83 | (114) all_4_96 = n3
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_97, all_4_96, n7, n7, simplifying
% 261.24/66.83 | with (112), (113) gives:
% 261.24/66.83 | (115) all_4_96 = all_4_97
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (114), (115) imply:
% 261.24/66.83 | (116) all_4_97 = n3
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (116) implies:
% 261.24/66.83 | (117) all_4_97 = n3
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (49), (114) imply:
% 261.24/66.83 | (118) pred(n3) = all_4_60
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (45), (117) imply:
% 261.24/66.83 | (119) pred(n3) = all_4_63
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (50), (114) imply:
% 261.24/66.83 | (120) succ(n3) = all_4_62
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (75), (117) imply:
% 261.24/66.83 | (121) succ(n3) = all_4_59
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (44) with n4, all_4_59, n3, simplifying with (48),
% 261.24/66.83 | (121) gives:
% 261.24/66.83 | (122) all_4_59 = n4
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (44) with all_4_62, all_4_59, n3, simplifying with
% 261.24/66.83 | (120), (121) gives:
% 261.24/66.83 | (123) all_4_59 = all_4_62
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (81) with n2, all_4_60, n3, simplifying with (51),
% 261.24/66.83 | (118) gives:
% 261.24/66.83 | (124) all_4_60 = n2
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (81) with all_4_63, all_4_60, n3, simplifying with
% 261.24/66.83 | (118), (119) gives:
% 261.24/66.83 | (125) all_4_60 = all_4_63
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (122), (123) imply:
% 261.24/66.83 | (126) all_4_62 = n4
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (124), (125) imply:
% 261.24/66.83 | (127) all_4_63 = n2
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (58), (122), (124) imply:
% 261.24/66.83 | (128) sum(n2, n4) = all_4_58
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (16), (124), (126) imply:
% 261.24/66.83 | (129) sum(n2, n4) = all_4_56
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (20), (122), (127) imply:
% 261.24/66.83 | (130) sum(n2, n4) = all_4_57
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (22), (126), (127) imply:
% 261.24/66.83 | (131) sum(n2, n4) = all_4_61
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with n6, all_4_57, n4, n2, simplifying with
% 261.24/66.83 | (19), (130) gives:
% 261.24/66.83 | (132) all_4_57 = n6
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_58, all_4_57, n4, n2, simplifying
% 261.24/66.83 | with (128), (130) gives:
% 261.24/66.83 | (133) all_4_57 = all_4_58
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_57, all_4_56, n4, n2, simplifying
% 261.24/66.83 | with (129), (130) gives:
% 261.24/66.83 | (134) all_4_56 = all_4_57
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_61, all_4_56, n4, n2, simplifying
% 261.24/66.83 | with (129), (131) gives:
% 261.24/66.83 | (135) all_4_56 = all_4_61
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (134), (135) imply:
% 261.24/66.83 | (136) all_4_57 = all_4_61
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (136) implies:
% 261.24/66.83 | (137) all_4_57 = all_4_61
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (132), (133) imply:
% 261.24/66.83 | (138) all_4_58 = n6
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (133), (137) imply:
% 261.24/66.83 | (139) all_4_58 = all_4_61
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (138), (139) imply:
% 261.24/66.83 | (140) all_4_61 = n6
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (135), (140) imply:
% 261.24/66.83 | (141) all_4_56 = n6
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (31), (132), (141) imply:
% 261.24/66.83 | (142) sum(n6, n6) = all_4_94
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (77), (138), (140) imply:
% 261.24/66.83 | (143) sum(n6, n6) = all_4_95
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with n1, all_4_94, n6, n6, simplifying with
% 261.24/66.83 | (66), (142) gives:
% 261.24/66.83 | (144) all_4_94 = n1
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_95, all_4_94, n6, n6, simplifying
% 261.24/66.83 | with (142), (143) gives:
% 261.24/66.83 | (145) all_4_94 = all_4_95
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (144), (145) imply:
% 261.24/66.83 | (146) all_4_95 = n1
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (86), (144) imply:
% 261.24/66.83 | (147) pred(n1) = all_4_52
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (10), (146) imply:
% 261.24/66.83 | (148) pred(n1) = all_4_55
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (23), (144) imply:
% 261.24/66.83 | (149) succ(n1) = all_4_54
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (2), (146) imply:
% 261.24/66.83 | (150) succ(n1) = all_4_51
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (44) with n2, all_4_51, n1, simplifying with (4),
% 261.24/66.83 | (150) gives:
% 261.24/66.83 | (151) all_4_51 = n2
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (44) with all_4_54, all_4_51, n1, simplifying with
% 261.24/66.83 | (149), (150) gives:
% 261.24/66.83 | (152) all_4_51 = all_4_54
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (81) with n0, all_4_52, n1, simplifying with (73),
% 261.24/66.83 | (147) gives:
% 261.24/66.83 | (153) all_4_52 = n0
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (81) with all_4_55, all_4_52, n1, simplifying with
% 261.24/66.83 | (147), (148) gives:
% 261.24/66.83 | (154) all_4_52 = all_4_55
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (151), (152) imply:
% 261.24/66.83 | (155) all_4_54 = n2
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (153), (154) imply:
% 261.24/66.83 | (156) all_4_55 = n0
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (156) implies:
% 261.24/66.83 | (157) all_4_55 = n0
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (82), (151), (153) imply:
% 261.24/66.83 | (158) sum(n0, n2) = all_4_50
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (15), (153), (155) imply:
% 261.24/66.83 | (159) sum(n0, n2) = all_4_48
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (53), (151), (157) imply:
% 261.24/66.83 | (160) sum(n0, n2) = all_4_49
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (18), (155), (157) imply:
% 261.24/66.83 | (161) sum(n0, n2) = all_4_53
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with n2, all_4_49, n2, n0, simplifying with
% 261.24/66.83 | (32), (160) gives:
% 261.24/66.83 | (162) all_4_49 = n2
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_50, all_4_49, n2, n0, simplifying
% 261.24/66.83 | with (158), (160) gives:
% 261.24/66.83 | (163) all_4_49 = all_4_50
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_49, all_4_48, n2, n0, simplifying
% 261.24/66.83 | with (159), (160) gives:
% 261.24/66.83 | (164) all_4_48 = all_4_49
% 261.24/66.83 |
% 261.24/66.83 | GROUND_INST: instantiating (62) with all_4_53, all_4_48, n2, n0, simplifying
% 261.24/66.83 | with (159), (161) gives:
% 261.24/66.83 | (165) all_4_48 = all_4_53
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (164), (165) imply:
% 261.24/66.83 | (166) all_4_49 = all_4_53
% 261.24/66.83 |
% 261.24/66.83 | SIMP: (166) implies:
% 261.24/66.83 | (167) all_4_49 = all_4_53
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (162), (163) imply:
% 261.24/66.83 | (168) all_4_50 = n2
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (163), (167) imply:
% 261.24/66.83 | (169) all_4_50 = all_4_53
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (168), (169) imply:
% 261.24/66.83 | (170) all_4_53 = n2
% 261.24/66.83 |
% 261.24/66.83 | COMBINE_EQS: (165), (170) imply:
% 261.24/66.83 | (171) all_4_48 = n2
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (79), (162), (171) imply:
% 261.24/66.83 | (172) sum(n2, n2) = all_4_92
% 261.24/66.83 |
% 261.24/66.83 | REDUCE: (83), (168), (170) imply:
% 261.24/66.83 | (173) sum(n2, n2) = all_4_93
% 261.24/66.83 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n4, all_4_92, n2, n2, simplifying with
% 261.24/66.84 | (9), (172) gives:
% 261.24/66.84 | (174) all_4_92 = n4
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_93, all_4_92, n2, n2, simplifying
% 261.24/66.84 | with (172), (173) gives:
% 261.24/66.84 | (175) all_4_92 = all_4_93
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (174), (175) imply:
% 261.24/66.84 | (176) all_4_93 = n4
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (176) implies:
% 261.24/66.84 | (177) all_4_93 = n4
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (40), (174) imply:
% 261.24/66.84 | (178) pred(n4) = all_4_44
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (56), (177) imply:
% 261.24/66.84 | (179) pred(n4) = all_4_47
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (7), (174) imply:
% 261.24/66.84 | (180) succ(n4) = all_4_46
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (84), (177) imply:
% 261.24/66.84 | (181) succ(n4) = all_4_43
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (44) with n5, all_4_43, n4, simplifying with (70),
% 261.24/66.84 | (181) gives:
% 261.24/66.84 | (182) all_4_43 = n5
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (44) with all_4_46, all_4_43, n4, simplifying with
% 261.24/66.84 | (180), (181) gives:
% 261.24/66.84 | (183) all_4_43 = all_4_46
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (81) with n3, all_4_44, n4, simplifying with (42),
% 261.24/66.84 | (178) gives:
% 261.24/66.84 | (184) all_4_44 = n3
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (81) with all_4_47, all_4_44, n4, simplifying with
% 261.24/66.84 | (178), (179) gives:
% 261.24/66.84 | (185) all_4_44 = all_4_47
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (182), (183) imply:
% 261.24/66.84 | (186) all_4_46 = n5
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (184), (185) imply:
% 261.24/66.84 | (187) all_4_47 = n3
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (67), (182), (184) imply:
% 261.24/66.84 | (188) sum(n3, n5) = all_4_42
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (11), (184), (186) imply:
% 261.24/66.84 | (189) sum(n3, n5) = all_4_40
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (35), (182), (187) imply:
% 261.24/66.84 | (190) sum(n3, n5) = all_4_41
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (55), (186), (187) imply:
% 261.24/66.84 | (191) sum(n3, n5) = all_4_45
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n8, all_4_41, n5, n3, simplifying with
% 261.24/66.84 | (34), (190) gives:
% 261.24/66.84 | (192) all_4_41 = n8
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_42, all_4_41, n5, n3, simplifying
% 261.24/66.84 | with (188), (190) gives:
% 261.24/66.84 | (193) all_4_41 = all_4_42
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_41, all_4_40, n5, n3, simplifying
% 261.24/66.84 | with (189), (190) gives:
% 261.24/66.84 | (194) all_4_40 = all_4_41
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_45, all_4_40, n5, n3, simplifying
% 261.24/66.84 | with (189), (191) gives:
% 261.24/66.84 | (195) all_4_40 = all_4_45
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (194), (195) imply:
% 261.24/66.84 | (196) all_4_41 = all_4_45
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (196) implies:
% 261.24/66.84 | (197) all_4_41 = all_4_45
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (192), (193) imply:
% 261.24/66.84 | (198) all_4_42 = n8
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (193), (197) imply:
% 261.24/66.84 | (199) all_4_42 = all_4_45
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (198), (199) imply:
% 261.24/66.84 | (200) all_4_45 = n8
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (200) implies:
% 261.24/66.84 | (201) all_4_45 = n8
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (195), (201) imply:
% 261.24/66.84 | (202) all_4_40 = n8
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (59), (192), (202) imply:
% 261.24/66.84 | (203) sum(n8, n8) = all_4_90
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (64), (198), (201) imply:
% 261.24/66.84 | (204) sum(n8, n8) = all_4_91
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n5, all_4_90, n8, n8, simplifying with
% 261.24/66.84 | (25), (203) gives:
% 261.24/66.84 | (205) all_4_90 = n5
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_91, all_4_90, n8, n8, simplifying
% 261.24/66.84 | with (203), (204) gives:
% 261.24/66.84 | (206) all_4_90 = all_4_91
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (205), (206) imply:
% 261.24/66.84 | (207) all_4_91 = n5
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (207) implies:
% 261.24/66.84 | (208) all_4_91 = n5
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (72), (205) imply:
% 261.24/66.84 | (209) pred(n5) = all_4_36
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (38), (208) imply:
% 261.24/66.84 | (210) pred(n5) = all_4_39
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (27), (205) imply:
% 261.24/66.84 | (211) succ(n5) = all_4_38
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (5), (208) imply:
% 261.24/66.84 | (212) succ(n5) = all_4_35
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (44) with n6, all_4_35, n5, simplifying with (68),
% 261.24/66.84 | (212) gives:
% 261.24/66.84 | (213) all_4_35 = n6
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (44) with all_4_38, all_4_35, n5, simplifying with
% 261.24/66.84 | (211), (212) gives:
% 261.24/66.84 | (214) all_4_35 = all_4_38
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (81) with n4, all_4_36, n5, simplifying with (36),
% 261.24/66.84 | (209) gives:
% 261.24/66.84 | (215) all_4_36 = n4
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (81) with all_4_39, all_4_36, n5, simplifying with
% 261.24/66.84 | (209), (210) gives:
% 261.24/66.84 | (216) all_4_36 = all_4_39
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (213), (214) imply:
% 261.24/66.84 | (217) all_4_38 = n6
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (215), (216) imply:
% 261.24/66.84 | (218) all_4_39 = n4
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (54), (213), (215) imply:
% 261.24/66.84 | (219) sum(n4, n6) = all_4_34
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (76), (215), (217) imply:
% 261.24/66.84 | (220) sum(n4, n6) = all_4_32
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (61), (213), (218) imply:
% 261.24/66.84 | (221) sum(n4, n6) = all_4_33
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (65), (217), (218) imply:
% 261.24/66.84 | (222) sum(n4, n6) = all_4_37
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n10, all_4_33, n6, n4, simplifying with
% 261.24/66.84 | (6), (221) gives:
% 261.24/66.84 | (223) all_4_33 = n10
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_34, all_4_33, n6, n4, simplifying
% 261.24/66.84 | with (219), (221) gives:
% 261.24/66.84 | (224) all_4_33 = all_4_34
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_33, all_4_32, n6, n4, simplifying
% 261.24/66.84 | with (220), (221) gives:
% 261.24/66.84 | (225) all_4_32 = all_4_33
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_37, all_4_32, n6, n4, simplifying
% 261.24/66.84 | with (220), (222) gives:
% 261.24/66.84 | (226) all_4_32 = all_4_37
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (225), (226) imply:
% 261.24/66.84 | (227) all_4_33 = all_4_37
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (227) implies:
% 261.24/66.84 | (228) all_4_33 = all_4_37
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (223), (224) imply:
% 261.24/66.84 | (229) all_4_34 = n10
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (224), (228) imply:
% 261.24/66.84 | (230) all_4_34 = all_4_37
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (229), (230) imply:
% 261.24/66.84 | (231) all_4_37 = n10
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (226), (231) imply:
% 261.24/66.84 | (232) all_4_32 = n10
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (33), (223), (232) imply:
% 261.24/66.84 | (233) sum(n10, n10) = all_4_88
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (24), (229), (231) imply:
% 261.24/66.84 | (234) sum(n10, n10) = all_4_89
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n9, all_4_88, n10, n10, simplifying with
% 261.24/66.84 | (91), (233) gives:
% 261.24/66.84 | (235) all_4_88 = n9
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_89, all_4_88, n10, n10, simplifying
% 261.24/66.84 | with (233), (234) gives:
% 261.24/66.84 | (236) all_4_88 = all_4_89
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (235), (236) imply:
% 261.24/66.84 | (237) all_4_89 = n9
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (28), (235) imply:
% 261.24/66.84 | (238) pred(n9) = all_4_28
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (39), (237) imply:
% 261.24/66.84 | (239) pred(n9) = all_4_31
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (52), (235) imply:
% 261.24/66.84 | (240) succ(n9) = all_4_30
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (8), (237) imply:
% 261.24/66.84 | (241) succ(n9) = all_4_27
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (44) with n10, all_4_27, n9, simplifying with (14),
% 261.24/66.84 | (241) gives:
% 261.24/66.84 | (242) all_4_27 = n10
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (44) with all_4_30, all_4_27, n9, simplifying with
% 261.24/66.84 | (240), (241) gives:
% 261.24/66.84 | (243) all_4_27 = all_4_30
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (81) with n8, all_4_28, n9, simplifying with (47),
% 261.24/66.84 | (238) gives:
% 261.24/66.84 | (244) all_4_28 = n8
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (81) with all_4_31, all_4_28, n9, simplifying with
% 261.24/66.84 | (238), (239) gives:
% 261.24/66.84 | (245) all_4_28 = all_4_31
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (242), (243) imply:
% 261.24/66.84 | (246) all_4_30 = n10
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (244), (245) imply:
% 261.24/66.84 | (247) all_4_31 = n8
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (1), (242), (244) imply:
% 261.24/66.84 | (248) sum(n8, n10) = all_4_26
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (13), (244), (246) imply:
% 261.24/66.84 | (249) sum(n8, n10) = all_4_24
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (21), (242), (247) imply:
% 261.24/66.84 | (250) sum(n8, n10) = all_4_25
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (29), (246), (247) imply:
% 261.24/66.84 | (251) sum(n8, n10) = all_4_29
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n7, all_4_25, n10, n8, simplifying with
% 261.24/66.84 | (30), (250) gives:
% 261.24/66.84 | (252) all_4_25 = n7
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_26, all_4_25, n10, n8, simplifying
% 261.24/66.84 | with (248), (250) gives:
% 261.24/66.84 | (253) all_4_25 = all_4_26
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_25, all_4_24, n10, n8, simplifying
% 261.24/66.84 | with (249), (250) gives:
% 261.24/66.84 | (254) all_4_24 = all_4_25
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_29, all_4_24, n10, n8, simplifying
% 261.24/66.84 | with (249), (251) gives:
% 261.24/66.84 | (255) all_4_24 = all_4_29
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (254), (255) imply:
% 261.24/66.84 | (256) all_4_25 = all_4_29
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (256) implies:
% 261.24/66.84 | (257) all_4_25 = all_4_29
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (252), (253) imply:
% 261.24/66.84 | (258) all_4_26 = n7
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (253), (257) imply:
% 261.24/66.84 | (259) all_4_26 = all_4_29
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (258), (259) imply:
% 261.24/66.84 | (260) all_4_29 = n7
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (255), (260) imply:
% 261.24/66.84 | (261) all_4_24 = n7
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (3), (252), (261) imply:
% 261.24/66.84 | (262) sum(n7, n7) = all_4_86
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (37), (258), (260) imply:
% 261.24/66.84 | (263) sum(n7, n7) = all_4_87
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with n3, all_4_86, n7, n7, simplifying with
% 261.24/66.84 | (78), (262) gives:
% 261.24/66.84 | (264) all_4_86 = n3
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (62) with all_4_87, all_4_86, n7, n7, simplifying
% 261.24/66.84 | with (262), (263) gives:
% 261.24/66.84 | (265) all_4_86 = all_4_87
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (264), (265) imply:
% 261.24/66.84 | (266) all_4_87 = n3
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (266) implies:
% 261.24/66.84 | (267) all_4_87 = n3
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (80), (264), (267) imply:
% 261.24/66.84 | (268) $false
% 261.24/66.84 |
% 261.24/66.84 | CLOSE: (268) is inconsistent.
% 261.24/66.84 |
% 261.24/66.84 End of proof
% 261.24/66.84
% 261.24/66.84 Sub-proof #147 shows that the following formulas are inconsistent:
% 261.24/66.84 ----------------------------------------------------------------
% 261.24/66.84 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.24/66.84 (2) succ(all_4_95) = all_4_51
% 261.24/66.84 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.24/66.84 (4) succ(all_4_91) = all_4_35
% 261.24/66.84 (5) succ(all_4_92) = all_4_46
% 261.24/66.84 (6) all_4_99 = n0
% 261.24/66.84 (7) succ(all_4_89) = all_4_27
% 261.24/66.84 (8) pred(all_4_95) = all_4_55
% 261.24/66.84 (9) sum(all_4_44, all_4_46) = all_4_40
% 261.24/66.84 (10) sum(all_4_28, all_4_30) = all_4_24
% 261.24/66.84 (11) sum(all_4_52, all_4_54) = all_4_48
% 261.24/66.84 (12) sum(all_4_60, all_4_62) = all_4_56
% 261.24/66.84 (13) sum(all_4_71, all_4_70) = all_4_69
% 261.24/66.84 (14) sum(all_4_55, all_4_54) = all_4_53
% 261.24/66.84 (15) sum(all_4_63, all_4_59) = all_4_57
% 261.24/66.84 (16) sum(all_4_31, all_4_27) = all_4_25
% 261.24/66.84 (17) sum(all_4_63, all_4_62) = all_4_61
% 261.24/66.84 (18) succ(all_4_94) = all_4_54
% 261.24/66.84 (19) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.84 (20) sum(n10, n1) = n0
% 261.24/66.84 (21) pred(all_4_99) = all_4_71
% 261.24/66.84 (22) succ(all_4_90) = all_4_38
% 261.24/66.84 (23) pred(all_4_88) = all_4_28
% 261.24/66.84 (24) all_4_98 = n0
% 261.24/66.84 (25) succ(n0) = n1
% 261.24/66.84 (26) sum(all_4_31, all_4_30) = all_4_29
% 261.24/66.84 (27) sum(all_4_57, all_4_56) = all_4_94
% 261.24/66.84 (28) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.84 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.24/66.84 (30) sum(all_4_29, all_4_26) = all_4_87
% 261.24/66.84 (31) pred(all_4_91) = all_4_39
% 261.24/66.84 (32) pred(all_4_89) = all_4_31
% 261.24/66.84 (33) pred(all_4_92) = all_4_44
% 261.24/66.84 (34) sum(all_4_65, all_4_64) = all_4_96
% 261.24/66.84 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.24/66.84 | ~ (succ(v2) = v0))
% 261.24/66.84 (36) pred(all_4_97) = all_4_63
% 261.24/66.84 (37) succ(all_4_99) = all_4_67
% 261.24/66.84 (38) pred(all_4_96) = all_4_60
% 261.24/66.84 (39) succ(all_4_96) = all_4_62
% 261.24/66.84 (40) succ(all_4_88) = all_4_30
% 261.24/66.84 (41) sum(all_4_55, all_4_51) = all_4_49
% 261.24/66.84 (42) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.84 (43) sum(all_4_47, all_4_46) = all_4_45
% 261.24/66.84 (44) pred(all_4_93) = all_4_47
% 261.24/66.84 (45) sum(all_4_71, all_4_67) = all_4_65
% 261.24/66.84 (46) sum(all_4_60, all_4_59) = all_4_58
% 261.24/66.84 (47) sum(all_4_41, all_4_40) = all_4_90
% 261.24/66.84 (48) sum(all_4_68, all_4_67) = all_4_66
% 261.24/66.84 (49) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.84 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.84 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.84 (51) sum(all_4_45, all_4_42) = all_4_91
% 261.24/66.84 (52) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.84 (53) sum(all_4_44, all_4_43) = all_4_42
% 261.24/66.84 (54) sum(all_4_69, all_4_66) = all_4_97
% 261.24/66.84 (55) sum(n0, n0) = all_4_99
% 261.24/66.84 (56) succ(all_4_98) = all_4_70
% 261.24/66.84 (57) pred(all_4_90) = all_4_36
% 261.24/66.84 (58) sum(all_4_68, all_4_70) = all_4_64
% 261.24/66.84 (59) succ(all_4_97) = all_4_59
% 261.24/66.84 (60) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.84 (61) sum(all_4_61, all_4_58) = all_4_95
% 261.24/66.84 (62) sum(all_4_49, all_4_48) = all_4_92
% 261.24/66.84 (63) ~ (all_4_86 = all_4_87)
% 261.24/66.84 (64) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.84 | ~ (pred(v2) = v0))
% 261.24/66.84 (65) sum(all_4_52, all_4_51) = all_4_50
% 261.24/66.84 (66) sum(all_4_53, all_4_50) = all_4_93
% 261.24/66.84 (67) succ(all_4_93) = all_4_43
% 261.24/66.84 (68) pred(all_4_98) = all_4_68
% 261.24/66.84 (69) pred(n0) = n10
% 261.24/66.84 (70) pred(all_4_94) = all_4_52
% 261.24/66.84
% 261.24/66.84 Begin of proof
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (24), (68) imply:
% 261.24/66.84 | (71) pred(n0) = all_4_68
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (6), (21) imply:
% 261.24/66.84 | (72) pred(n0) = all_4_71
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (24), (56) imply:
% 261.24/66.84 | (73) succ(n0) = all_4_70
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (6), (37) imply:
% 261.24/66.84 | (74) succ(n0) = all_4_67
% 261.24/66.84 |
% 261.24/66.84 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 261.24/66.84 | (13), (14), (15), (16), (17), (18), (19), (20), (22), (23), (25),
% 261.24/66.84 | (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 261.24/66.84 | (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 261.24/66.84 | (49), (50), (51), (52), (53), (54), (55), (57), (58), (59), (60),
% 261.24/66.84 | (61), (62), (63), (64), (65), (66), (67), (69), (70), (71), (72),
% 261.24/66.84 | (73), (74) are inconsistent by sub-proof #148.
% 261.24/66.84 |
% 261.24/66.84 End of proof
% 261.24/66.84
% 261.24/66.84 Sub-proof #148 shows that the following formulas are inconsistent:
% 261.24/66.84 ----------------------------------------------------------------
% 261.24/66.84 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.24/66.84 (2) succ(all_4_95) = all_4_51
% 261.24/66.84 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.24/66.84 (4) succ(all_4_91) = all_4_35
% 261.24/66.84 (5) succ(all_4_92) = all_4_46
% 261.24/66.84 (6) all_4_99 = n0
% 261.24/66.84 (7) succ(all_4_89) = all_4_27
% 261.24/66.84 (8) pred(all_4_95) = all_4_55
% 261.24/66.84 (9) sum(all_4_44, all_4_46) = all_4_40
% 261.24/66.84 (10) sum(all_4_28, all_4_30) = all_4_24
% 261.24/66.84 (11) succ(n0) = all_4_70
% 261.24/66.84 (12) sum(all_4_52, all_4_54) = all_4_48
% 261.24/66.84 (13) sum(all_4_60, all_4_62) = all_4_56
% 261.24/66.84 (14) sum(all_4_71, all_4_70) = all_4_69
% 261.24/66.84 (15) sum(all_4_55, all_4_54) = all_4_53
% 261.24/66.84 (16) sum(all_4_63, all_4_59) = all_4_57
% 261.24/66.84 (17) sum(all_4_31, all_4_27) = all_4_25
% 261.24/66.84 (18) sum(all_4_63, all_4_62) = all_4_61
% 261.24/66.84 (19) succ(all_4_94) = all_4_54
% 261.24/66.84 (20) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.84 (21) succ(n0) = all_4_67
% 261.24/66.84 (22) sum(n10, n1) = n0
% 261.24/66.84 (23) succ(all_4_90) = all_4_38
% 261.24/66.84 (24) pred(all_4_88) = all_4_28
% 261.24/66.84 (25) succ(n0) = n1
% 261.24/66.84 (26) sum(all_4_31, all_4_30) = all_4_29
% 261.24/66.84 (27) sum(all_4_57, all_4_56) = all_4_94
% 261.24/66.84 (28) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.84 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.24/66.84 (30) sum(all_4_29, all_4_26) = all_4_87
% 261.24/66.84 (31) pred(all_4_91) = all_4_39
% 261.24/66.84 (32) pred(all_4_89) = all_4_31
% 261.24/66.84 (33) pred(all_4_92) = all_4_44
% 261.24/66.84 (34) sum(all_4_65, all_4_64) = all_4_96
% 261.24/66.84 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.24/66.84 | ~ (succ(v2) = v0))
% 261.24/66.84 (36) pred(all_4_97) = all_4_63
% 261.24/66.84 (37) pred(all_4_96) = all_4_60
% 261.24/66.84 (38) succ(all_4_96) = all_4_62
% 261.24/66.84 (39) succ(all_4_88) = all_4_30
% 261.24/66.84 (40) pred(n0) = all_4_71
% 261.24/66.84 (41) sum(all_4_55, all_4_51) = all_4_49
% 261.24/66.84 (42) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.84 (43) sum(all_4_47, all_4_46) = all_4_45
% 261.24/66.84 (44) pred(all_4_93) = all_4_47
% 261.24/66.84 (45) sum(all_4_71, all_4_67) = all_4_65
% 261.24/66.84 (46) sum(all_4_60, all_4_59) = all_4_58
% 261.24/66.84 (47) sum(all_4_41, all_4_40) = all_4_90
% 261.24/66.84 (48) sum(all_4_68, all_4_67) = all_4_66
% 261.24/66.84 (49) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.84 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.84 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.84 (51) sum(all_4_45, all_4_42) = all_4_91
% 261.24/66.84 (52) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.84 (53) sum(all_4_44, all_4_43) = all_4_42
% 261.24/66.84 (54) sum(all_4_69, all_4_66) = all_4_97
% 261.24/66.84 (55) sum(n0, n0) = all_4_99
% 261.24/66.84 (56) pred(all_4_90) = all_4_36
% 261.24/66.84 (57) sum(all_4_68, all_4_70) = all_4_64
% 261.24/66.84 (58) succ(all_4_97) = all_4_59
% 261.24/66.84 (59) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.84 (60) sum(all_4_61, all_4_58) = all_4_95
% 261.24/66.84 (61) pred(n0) = all_4_68
% 261.24/66.84 (62) sum(all_4_49, all_4_48) = all_4_92
% 261.24/66.84 (63) ~ (all_4_86 = all_4_87)
% 261.24/66.84 (64) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.84 | ~ (pred(v2) = v0))
% 261.24/66.84 (65) sum(all_4_52, all_4_51) = all_4_50
% 261.24/66.84 (66) sum(all_4_53, all_4_50) = all_4_93
% 261.24/66.84 (67) succ(all_4_93) = all_4_43
% 261.24/66.84 (68) pred(n0) = n10
% 261.24/66.84 (69) pred(all_4_94) = all_4_52
% 261.24/66.84
% 261.24/66.84 Begin of proof
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (6), (55) imply:
% 261.24/66.84 | (70) sum(n0, n0) = n0
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (35) with n1, all_4_67, n0, simplifying with (21),
% 261.24/66.84 | (25) gives:
% 261.24/66.84 | (71) all_4_67 = n1
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (35) with all_4_70, all_4_67, n0, simplifying with
% 261.24/66.84 | (11), (21) gives:
% 261.24/66.84 | (72) all_4_67 = all_4_70
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (64) with n10, all_4_68, n0, simplifying with (61),
% 261.24/66.84 | (68) gives:
% 261.24/66.84 | (73) all_4_68 = n10
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (64) with all_4_71, all_4_68, n0, simplifying with
% 261.24/66.84 | (40), (61) gives:
% 261.24/66.84 | (74) all_4_68 = all_4_71
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (71), (72) imply:
% 261.24/66.84 | (75) all_4_70 = n1
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (73), (74) imply:
% 261.24/66.84 | (76) all_4_71 = n10
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (48), (71), (73) imply:
% 261.24/66.84 | (77) sum(n10, n1) = all_4_66
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (57), (73), (75) imply:
% 261.24/66.84 | (78) sum(n10, n1) = all_4_64
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (45), (71), (76) imply:
% 261.24/66.84 | (79) sum(n10, n1) = all_4_65
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (14), (75), (76) imply:
% 261.24/66.84 | (80) sum(n10, n1) = all_4_69
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with n0, all_4_65, n1, n10, simplifying with
% 261.24/66.84 | (22), (79) gives:
% 261.24/66.84 | (81) all_4_65 = n0
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_66, all_4_65, n1, n10, simplifying
% 261.24/66.84 | with (77), (79) gives:
% 261.24/66.84 | (82) all_4_65 = all_4_66
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_66, all_4_64, n1, n10, simplifying
% 261.24/66.84 | with (77), (78) gives:
% 261.24/66.84 | (83) all_4_64 = all_4_66
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_69, all_4_64, n1, n10, simplifying
% 261.24/66.84 | with (78), (80) gives:
% 261.24/66.84 | (84) all_4_64 = all_4_69
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (83), (84) imply:
% 261.24/66.84 | (85) all_4_66 = all_4_69
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (85) implies:
% 261.24/66.84 | (86) all_4_66 = all_4_69
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (81), (82) imply:
% 261.24/66.84 | (87) all_4_66 = n0
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (87) implies:
% 261.24/66.84 | (88) all_4_66 = n0
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (86), (88) imply:
% 261.24/66.84 | (89) all_4_69 = n0
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (84), (89) imply:
% 261.24/66.84 | (90) all_4_64 = n0
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (34), (81), (90) imply:
% 261.24/66.84 | (91) sum(n0, n0) = all_4_96
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (54), (88), (89) imply:
% 261.24/66.84 | (92) sum(n0, n0) = all_4_97
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with n0, all_4_96, n0, n0, simplifying with
% 261.24/66.84 | (70), (91) gives:
% 261.24/66.84 | (93) all_4_96 = n0
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_97, all_4_96, n0, n0, simplifying
% 261.24/66.84 | with (91), (92) gives:
% 261.24/66.84 | (94) all_4_96 = all_4_97
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (93), (94) imply:
% 261.24/66.84 | (95) all_4_97 = n0
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (95) implies:
% 261.24/66.84 | (96) all_4_97 = n0
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (37), (93) imply:
% 261.24/66.84 | (97) pred(n0) = all_4_60
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (36), (96) imply:
% 261.24/66.84 | (98) pred(n0) = all_4_63
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (38), (93) imply:
% 261.24/66.84 | (99) succ(n0) = all_4_62
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (58), (96) imply:
% 261.24/66.84 | (100) succ(n0) = all_4_59
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (35) with n1, all_4_59, n0, simplifying with (25),
% 261.24/66.84 | (100) gives:
% 261.24/66.84 | (101) all_4_59 = n1
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (35) with all_4_62, all_4_59, n0, simplifying with
% 261.24/66.84 | (99), (100) gives:
% 261.24/66.84 | (102) all_4_59 = all_4_62
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (64) with n10, all_4_60, n0, simplifying with (68),
% 261.24/66.84 | (97) gives:
% 261.24/66.84 | (103) all_4_60 = n10
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (64) with all_4_63, all_4_60, n0, simplifying with
% 261.24/66.84 | (97), (98) gives:
% 261.24/66.84 | (104) all_4_60 = all_4_63
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (101), (102) imply:
% 261.24/66.84 | (105) all_4_62 = n1
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (103), (104) imply:
% 261.24/66.84 | (106) all_4_63 = n10
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (46), (101), (103) imply:
% 261.24/66.84 | (107) sum(n10, n1) = all_4_58
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (13), (103), (105) imply:
% 261.24/66.84 | (108) sum(n10, n1) = all_4_56
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (16), (101), (106) imply:
% 261.24/66.84 | (109) sum(n10, n1) = all_4_57
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (18), (105), (106) imply:
% 261.24/66.84 | (110) sum(n10, n1) = all_4_61
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with n0, all_4_57, n1, n10, simplifying with
% 261.24/66.84 | (22), (109) gives:
% 261.24/66.84 | (111) all_4_57 = n0
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_58, all_4_57, n1, n10, simplifying
% 261.24/66.84 | with (107), (109) gives:
% 261.24/66.84 | (112) all_4_57 = all_4_58
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_57, all_4_56, n1, n10, simplifying
% 261.24/66.84 | with (108), (109) gives:
% 261.24/66.84 | (113) all_4_56 = all_4_57
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_61, all_4_56, n1, n10, simplifying
% 261.24/66.84 | with (108), (110) gives:
% 261.24/66.84 | (114) all_4_56 = all_4_61
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (113), (114) imply:
% 261.24/66.84 | (115) all_4_57 = all_4_61
% 261.24/66.84 |
% 261.24/66.84 | SIMP: (115) implies:
% 261.24/66.84 | (116) all_4_57 = all_4_61
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (111), (112) imply:
% 261.24/66.84 | (117) all_4_58 = n0
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (112), (116) imply:
% 261.24/66.84 | (118) all_4_58 = all_4_61
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (117), (118) imply:
% 261.24/66.84 | (119) all_4_61 = n0
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (114), (119) imply:
% 261.24/66.84 | (120) all_4_56 = n0
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (27), (111), (120) imply:
% 261.24/66.84 | (121) sum(n0, n0) = all_4_94
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (60), (117), (119) imply:
% 261.24/66.84 | (122) sum(n0, n0) = all_4_95
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with n0, all_4_94, n0, n0, simplifying with
% 261.24/66.84 | (70), (121) gives:
% 261.24/66.84 | (123) all_4_94 = n0
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (50) with all_4_95, all_4_94, n0, n0, simplifying
% 261.24/66.84 | with (121), (122) gives:
% 261.24/66.84 | (124) all_4_94 = all_4_95
% 261.24/66.84 |
% 261.24/66.84 | COMBINE_EQS: (123), (124) imply:
% 261.24/66.84 | (125) all_4_95 = n0
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (69), (123) imply:
% 261.24/66.84 | (126) pred(n0) = all_4_52
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (8), (125) imply:
% 261.24/66.84 | (127) pred(n0) = all_4_55
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (19), (123) imply:
% 261.24/66.84 | (128) succ(n0) = all_4_54
% 261.24/66.84 |
% 261.24/66.84 | REDUCE: (2), (125) imply:
% 261.24/66.84 | (129) succ(n0) = all_4_51
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (35) with n1, all_4_51, n0, simplifying with (25),
% 261.24/66.84 | (129) gives:
% 261.24/66.84 | (130) all_4_51 = n1
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (35) with all_4_54, all_4_51, n0, simplifying with
% 261.24/66.84 | (128), (129) gives:
% 261.24/66.84 | (131) all_4_51 = all_4_54
% 261.24/66.84 |
% 261.24/66.84 | GROUND_INST: instantiating (64) with n10, all_4_52, n0, simplifying with (68),
% 261.24/66.84 | (126) gives:
% 261.24/66.84 | (132) all_4_52 = n10
% 261.24/66.84 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with all_4_55, all_4_52, n0, simplifying with
% 261.24/66.85 | (126), (127) gives:
% 261.24/66.85 | (133) all_4_52 = all_4_55
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (130), (131) imply:
% 261.24/66.85 | (134) all_4_54 = n1
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (132), (133) imply:
% 261.24/66.85 | (135) all_4_55 = n10
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (135) implies:
% 261.24/66.85 | (136) all_4_55 = n10
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (65), (130), (132) imply:
% 261.24/66.85 | (137) sum(n10, n1) = all_4_50
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (12), (132), (134) imply:
% 261.24/66.85 | (138) sum(n10, n1) = all_4_48
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (41), (130), (136) imply:
% 261.24/66.85 | (139) sum(n10, n1) = all_4_49
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (15), (134), (136) imply:
% 261.24/66.85 | (140) sum(n10, n1) = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_49, n1, n10, simplifying with
% 261.24/66.85 | (22), (139) gives:
% 261.24/66.85 | (141) all_4_49 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_50, all_4_49, n1, n10, simplifying
% 261.24/66.85 | with (137), (139) gives:
% 261.24/66.85 | (142) all_4_49 = all_4_50
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_49, all_4_48, n1, n10, simplifying
% 261.24/66.85 | with (138), (139) gives:
% 261.24/66.85 | (143) all_4_48 = all_4_49
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_53, all_4_48, n1, n10, simplifying
% 261.24/66.85 | with (138), (140) gives:
% 261.24/66.85 | (144) all_4_48 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (143), (144) imply:
% 261.24/66.85 | (145) all_4_49 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (145) implies:
% 261.24/66.85 | (146) all_4_49 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (141), (142) imply:
% 261.24/66.85 | (147) all_4_50 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (142), (146) imply:
% 261.24/66.85 | (148) all_4_50 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (147), (148) imply:
% 261.24/66.85 | (149) all_4_53 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (144), (149) imply:
% 261.24/66.85 | (150) all_4_48 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (62), (141), (150) imply:
% 261.24/66.85 | (151) sum(n0, n0) = all_4_92
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (66), (147), (149) imply:
% 261.24/66.85 | (152) sum(n0, n0) = all_4_93
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_92, n0, n0, simplifying with
% 261.24/66.85 | (70), (151) gives:
% 261.24/66.85 | (153) all_4_92 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_93, all_4_92, n0, n0, simplifying
% 261.24/66.85 | with (151), (152) gives:
% 261.24/66.85 | (154) all_4_92 = all_4_93
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (153), (154) imply:
% 261.24/66.85 | (155) all_4_93 = n0
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (155) implies:
% 261.24/66.85 | (156) all_4_93 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (33), (153) imply:
% 261.24/66.85 | (157) pred(n0) = all_4_44
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (44), (156) imply:
% 261.24/66.85 | (158) pred(n0) = all_4_47
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (5), (153) imply:
% 261.24/66.85 | (159) succ(n0) = all_4_46
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (67), (156) imply:
% 261.24/66.85 | (160) succ(n0) = all_4_43
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (35) with n1, all_4_43, n0, simplifying with (25),
% 261.24/66.85 | (160) gives:
% 261.24/66.85 | (161) all_4_43 = n1
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (35) with all_4_46, all_4_43, n0, simplifying with
% 261.24/66.85 | (159), (160) gives:
% 261.24/66.85 | (162) all_4_43 = all_4_46
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with n10, all_4_44, n0, simplifying with (68),
% 261.24/66.85 | (157) gives:
% 261.24/66.85 | (163) all_4_44 = n10
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with all_4_47, all_4_44, n0, simplifying with
% 261.24/66.85 | (157), (158) gives:
% 261.24/66.85 | (164) all_4_44 = all_4_47
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (161), (162) imply:
% 261.24/66.85 | (165) all_4_46 = n1
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (163), (164) imply:
% 261.24/66.85 | (166) all_4_47 = n10
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (53), (161), (163) imply:
% 261.24/66.85 | (167) sum(n10, n1) = all_4_42
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (9), (163), (165) imply:
% 261.24/66.85 | (168) sum(n10, n1) = all_4_40
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (29), (161), (166) imply:
% 261.24/66.85 | (169) sum(n10, n1) = all_4_41
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (43), (165), (166) imply:
% 261.24/66.85 | (170) sum(n10, n1) = all_4_45
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_41, n1, n10, simplifying with
% 261.24/66.85 | (22), (169) gives:
% 261.24/66.85 | (171) all_4_41 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_42, all_4_41, n1, n10, simplifying
% 261.24/66.85 | with (167), (169) gives:
% 261.24/66.85 | (172) all_4_41 = all_4_42
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_41, all_4_40, n1, n10, simplifying
% 261.24/66.85 | with (168), (169) gives:
% 261.24/66.85 | (173) all_4_40 = all_4_41
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_45, all_4_40, n1, n10, simplifying
% 261.24/66.85 | with (168), (170) gives:
% 261.24/66.85 | (174) all_4_40 = all_4_45
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (173), (174) imply:
% 261.24/66.85 | (175) all_4_41 = all_4_45
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (175) implies:
% 261.24/66.85 | (176) all_4_41 = all_4_45
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (171), (172) imply:
% 261.24/66.85 | (177) all_4_42 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (172), (176) imply:
% 261.24/66.85 | (178) all_4_42 = all_4_45
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (177), (178) imply:
% 261.24/66.85 | (179) all_4_45 = n0
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (179) implies:
% 261.24/66.85 | (180) all_4_45 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (174), (180) imply:
% 261.24/66.85 | (181) all_4_40 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (47), (171), (181) imply:
% 261.24/66.85 | (182) sum(n0, n0) = all_4_90
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (51), (177), (180) imply:
% 261.24/66.85 | (183) sum(n0, n0) = all_4_91
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_90, n0, n0, simplifying with
% 261.24/66.85 | (70), (182) gives:
% 261.24/66.85 | (184) all_4_90 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_91, all_4_90, n0, n0, simplifying
% 261.24/66.85 | with (182), (183) gives:
% 261.24/66.85 | (185) all_4_90 = all_4_91
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (184), (185) imply:
% 261.24/66.85 | (186) all_4_91 = n0
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (186) implies:
% 261.24/66.85 | (187) all_4_91 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (56), (184) imply:
% 261.24/66.85 | (188) pred(n0) = all_4_36
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (31), (187) imply:
% 261.24/66.85 | (189) pred(n0) = all_4_39
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (23), (184) imply:
% 261.24/66.85 | (190) succ(n0) = all_4_38
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (4), (187) imply:
% 261.24/66.85 | (191) succ(n0) = all_4_35
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (35) with n1, all_4_35, n0, simplifying with (25),
% 261.24/66.85 | (191) gives:
% 261.24/66.85 | (192) all_4_35 = n1
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (35) with all_4_38, all_4_35, n0, simplifying with
% 261.24/66.85 | (190), (191) gives:
% 261.24/66.85 | (193) all_4_35 = all_4_38
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with n10, all_4_36, n0, simplifying with (68),
% 261.24/66.85 | (188) gives:
% 261.24/66.85 | (194) all_4_36 = n10
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with all_4_39, all_4_36, n0, simplifying with
% 261.24/66.85 | (188), (189) gives:
% 261.24/66.85 | (195) all_4_36 = all_4_39
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (192), (193) imply:
% 261.24/66.85 | (196) all_4_38 = n1
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (194), (195) imply:
% 261.24/66.85 | (197) all_4_39 = n10
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (42), (192), (194) imply:
% 261.24/66.85 | (198) sum(n10, n1) = all_4_34
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (59), (194), (196) imply:
% 261.24/66.85 | (199) sum(n10, n1) = all_4_32
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (49), (192), (197) imply:
% 261.24/66.85 | (200) sum(n10, n1) = all_4_33
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (52), (196), (197) imply:
% 261.24/66.85 | (201) sum(n10, n1) = all_4_37
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_33, n1, n10, simplifying with
% 261.24/66.85 | (22), (200) gives:
% 261.24/66.85 | (202) all_4_33 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_34, all_4_33, n1, n10, simplifying
% 261.24/66.85 | with (198), (200) gives:
% 261.24/66.85 | (203) all_4_33 = all_4_34
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_33, all_4_32, n1, n10, simplifying
% 261.24/66.85 | with (199), (200) gives:
% 261.24/66.85 | (204) all_4_32 = all_4_33
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_37, all_4_32, n1, n10, simplifying
% 261.24/66.85 | with (199), (201) gives:
% 261.24/66.85 | (205) all_4_32 = all_4_37
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (204), (205) imply:
% 261.24/66.85 | (206) all_4_33 = all_4_37
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (206) implies:
% 261.24/66.85 | (207) all_4_33 = all_4_37
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (202), (203) imply:
% 261.24/66.85 | (208) all_4_34 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (203), (207) imply:
% 261.24/66.85 | (209) all_4_34 = all_4_37
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (208), (209) imply:
% 261.24/66.85 | (210) all_4_37 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (205), (210) imply:
% 261.24/66.85 | (211) all_4_32 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (28), (202), (211) imply:
% 261.24/66.85 | (212) sum(n0, n0) = all_4_88
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (20), (208), (210) imply:
% 261.24/66.85 | (213) sum(n0, n0) = all_4_89
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_88, n0, n0, simplifying with
% 261.24/66.85 | (70), (212) gives:
% 261.24/66.85 | (214) all_4_88 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_89, all_4_88, n0, n0, simplifying
% 261.24/66.85 | with (212), (213) gives:
% 261.24/66.85 | (215) all_4_88 = all_4_89
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (214), (215) imply:
% 261.24/66.85 | (216) all_4_89 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (24), (214) imply:
% 261.24/66.85 | (217) pred(n0) = all_4_28
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (32), (216) imply:
% 261.24/66.85 | (218) pred(n0) = all_4_31
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (39), (214) imply:
% 261.24/66.85 | (219) succ(n0) = all_4_30
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (7), (216) imply:
% 261.24/66.85 | (220) succ(n0) = all_4_27
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (35) with n1, all_4_27, n0, simplifying with (25),
% 261.24/66.85 | (220) gives:
% 261.24/66.85 | (221) all_4_27 = n1
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (35) with all_4_30, all_4_27, n0, simplifying with
% 261.24/66.85 | (219), (220) gives:
% 261.24/66.85 | (222) all_4_27 = all_4_30
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with n10, all_4_28, n0, simplifying with (68),
% 261.24/66.85 | (217) gives:
% 261.24/66.85 | (223) all_4_28 = n10
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (64) with all_4_31, all_4_28, n0, simplifying with
% 261.24/66.85 | (217), (218) gives:
% 261.24/66.85 | (224) all_4_28 = all_4_31
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (221), (222) imply:
% 261.24/66.85 | (225) all_4_30 = n1
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (223), (224) imply:
% 261.24/66.85 | (226) all_4_31 = n10
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (1), (221), (223) imply:
% 261.24/66.85 | (227) sum(n10, n1) = all_4_26
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (10), (223), (225) imply:
% 261.24/66.85 | (228) sum(n10, n1) = all_4_24
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (17), (221), (226) imply:
% 261.24/66.85 | (229) sum(n10, n1) = all_4_25
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (26), (225), (226) imply:
% 261.24/66.85 | (230) sum(n10, n1) = all_4_29
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_25, n1, n10, simplifying with
% 261.24/66.85 | (22), (229) gives:
% 261.24/66.85 | (231) all_4_25 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_26, all_4_25, n1, n10, simplifying
% 261.24/66.85 | with (227), (229) gives:
% 261.24/66.85 | (232) all_4_25 = all_4_26
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_25, all_4_24, n1, n10, simplifying
% 261.24/66.85 | with (228), (229) gives:
% 261.24/66.85 | (233) all_4_24 = all_4_25
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_29, all_4_24, n1, n10, simplifying
% 261.24/66.85 | with (228), (230) gives:
% 261.24/66.85 | (234) all_4_24 = all_4_29
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (233), (234) imply:
% 261.24/66.85 | (235) all_4_25 = all_4_29
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (235) implies:
% 261.24/66.85 | (236) all_4_25 = all_4_29
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (231), (232) imply:
% 261.24/66.85 | (237) all_4_26 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (232), (236) imply:
% 261.24/66.85 | (238) all_4_26 = all_4_29
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (237), (238) imply:
% 261.24/66.85 | (239) all_4_29 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (234), (239) imply:
% 261.24/66.85 | (240) all_4_24 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (3), (231), (240) imply:
% 261.24/66.85 | (241) sum(n0, n0) = all_4_86
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (30), (237), (239) imply:
% 261.24/66.85 | (242) sum(n0, n0) = all_4_87
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with n0, all_4_86, n0, n0, simplifying with
% 261.24/66.85 | (70), (241) gives:
% 261.24/66.85 | (243) all_4_86 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (50) with all_4_87, all_4_86, n0, n0, simplifying
% 261.24/66.85 | with (241), (242) gives:
% 261.24/66.85 | (244) all_4_86 = all_4_87
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (243), (244) imply:
% 261.24/66.85 | (245) all_4_87 = n0
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (245) implies:
% 261.24/66.85 | (246) all_4_87 = n0
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (63), (243), (246) imply:
% 261.24/66.85 | (247) $false
% 261.24/66.85 |
% 261.24/66.85 | CLOSE: (247) is inconsistent.
% 261.24/66.85 |
% 261.24/66.85 End of proof
% 261.24/66.85
% 261.24/66.85 Sub-proof #149 shows that the following formulas are inconsistent:
% 261.24/66.85 ----------------------------------------------------------------
% 261.24/66.85 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.24/66.85 (2) succ(all_4_95) = all_4_51
% 261.24/66.85 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.24/66.85 (4) succ(all_4_91) = all_4_35
% 261.24/66.85 (5) succ(all_4_92) = all_4_46
% 261.24/66.85 (6) succ(all_4_89) = all_4_27
% 261.24/66.85 (7) pred(all_4_95) = all_4_55
% 261.24/66.85 (8) sum(all_4_44, all_4_46) = all_4_40
% 261.24/66.85 (9) sum(all_4_28, all_4_30) = all_4_24
% 261.24/66.85 (10) sum(n9, n0) = n9
% 261.24/66.85 (11) sum(all_4_52, all_4_54) = all_4_48
% 261.24/66.85 (12) sum(n3, n3) = n6
% 261.24/66.85 (13) sum(all_4_60, all_4_62) = all_4_56
% 261.24/66.85 (14) sum(all_4_71, all_4_70) = all_4_69
% 261.24/66.85 (15) sum(all_4_55, all_4_54) = all_4_53
% 261.24/66.85 (16) sum(all_4_63, all_4_59) = all_4_57
% 261.24/66.85 (17) sum(all_4_31, all_4_27) = all_4_25
% 261.24/66.85 (18) sum(all_4_63, all_4_62) = all_4_61
% 261.24/66.85 (19) succ(all_4_94) = all_4_54
% 261.24/66.85 (20) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.85 (21) pred(n8) = n7
% 261.24/66.85 (22) pred(all_4_99) = all_4_71
% 261.24/66.85 (23) succ(all_4_90) = all_4_38
% 261.24/66.85 (24) sum(n6, n8) = n3
% 261.24/66.85 (25) pred(all_4_88) = all_4_28
% 261.24/66.85 (26) sum(all_4_31, all_4_30) = all_4_29
% 261.24/66.85 (27) sum(all_4_57, all_4_56) = all_4_94
% 261.24/66.85 (28) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.85 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.24/66.85 (30) sum(all_4_29, all_4_26) = all_4_87
% 261.24/66.85 (31) pred(all_4_91) = all_4_39
% 261.24/66.85 (32) pred(all_4_89) = all_4_31
% 261.24/66.85 (33) pred(all_4_92) = all_4_44
% 261.24/66.85 (34) sum(n5, n7) = n1
% 261.24/66.85 (35) sum(all_4_65, all_4_64) = all_4_96
% 261.24/66.85 (36) succ(n10) = n0
% 261.24/66.85 (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.24/66.85 | ~ (succ(v2) = v0))
% 261.24/66.85 (38) pred(all_4_97) = all_4_63
% 261.24/66.85 (39) succ(all_4_99) = all_4_67
% 261.24/66.85 (40) pred(n6) = n5
% 261.24/66.85 (41) pred(all_4_96) = all_4_60
% 261.24/66.85 (42) succ(all_4_96) = all_4_62
% 261.24/66.85 (43) succ(all_4_88) = all_4_30
% 261.24/66.85 (44) all_4_98 = n2
% 261.24/66.85 (45) sum(all_4_55, all_4_51) = all_4_49
% 261.24/66.85 (46) pred(n7) = n6
% 261.24/66.85 (47) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.85 (48) succ(n7) = n8
% 261.24/66.85 (49) sum(all_4_47, all_4_46) = all_4_45
% 261.24/66.85 (50) pred(all_4_93) = all_4_47
% 261.24/66.85 (51) sum(all_4_71, all_4_67) = all_4_65
% 261.24/66.85 (52) sum(all_4_60, all_4_59) = all_4_58
% 261.24/66.85 (53) sum(n5, n5) = n10
% 261.24/66.85 (54) sum(all_4_41, all_4_40) = all_4_90
% 261.24/66.85 (55) succ(n2) = n3
% 261.24/66.85 (56) sum(all_4_68, all_4_67) = all_4_66
% 261.24/66.85 (57) succ(n6) = n7
% 261.24/66.85 (58) succ(n8) = n9
% 261.24/66.85 (59) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.85 (60) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.85 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.85 (61) sum(all_4_45, all_4_42) = all_4_91
% 261.24/66.85 (62) sum(n9, n9) = n7
% 261.24/66.85 (63) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.85 (64) sum(all_4_44, all_4_43) = all_4_42
% 261.24/66.85 (65) sum(n1, n1) = all_4_99
% 261.24/66.85 (66) pred(n10) = n9
% 261.24/66.85 (67) sum(all_4_69, all_4_66) = all_4_97
% 261.24/66.85 (68) sum(n7, n9) = n5
% 261.24/66.85 (69) all_4_99 = n2
% 261.24/66.85 (70) pred(n2) = n1
% 261.24/66.85 (71) succ(all_4_98) = all_4_70
% 261.24/66.85 (72) pred(all_4_90) = all_4_36
% 261.24/66.85 (73) sum(n4, n4) = n8
% 261.24/66.85 (74) sum(all_4_68, all_4_70) = all_4_64
% 261.24/66.85 (75) succ(all_4_97) = all_4_59
% 261.24/66.85 (76) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.85 (77) sum(all_4_61, all_4_58) = all_4_95
% 261.24/66.85 (78) sum(all_4_49, all_4_48) = all_4_92
% 261.24/66.85 (79) ~ (all_4_86 = all_4_87)
% 261.24/66.85 (80) sum(n1, n3) = n4
% 261.24/66.85 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.85 | ~ (pred(v2) = v0))
% 261.24/66.85 (82) sum(all_4_52, all_4_51) = all_4_50
% 261.24/66.85 (83) sum(all_4_53, all_4_50) = all_4_93
% 261.24/66.85 (84) succ(all_4_93) = all_4_43
% 261.24/66.85 (85) pred(all_4_98) = all_4_68
% 261.24/66.85 (86) pred(all_4_94) = all_4_52
% 261.24/66.85
% 261.24/66.85 Begin of proof
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (44), (85) imply:
% 261.24/66.85 | (87) pred(n2) = all_4_68
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (22), (69) imply:
% 261.24/66.85 | (88) pred(n2) = all_4_71
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (44), (71) imply:
% 261.24/66.85 | (89) succ(n2) = all_4_70
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (39), (69) imply:
% 261.24/66.85 | (90) succ(n2) = all_4_67
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (65), (69) imply:
% 261.24/66.85 | (91) sum(n1, n1) = n2
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (37) with n3, all_4_67, n2, simplifying with (55),
% 261.24/66.85 | (90) gives:
% 261.24/66.85 | (92) all_4_67 = n3
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (37) with all_4_70, all_4_67, n2, simplifying with
% 261.24/66.85 | (89), (90) gives:
% 261.24/66.85 | (93) all_4_67 = all_4_70
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (81) with n1, all_4_68, n2, simplifying with (70),
% 261.24/66.85 | (87) gives:
% 261.24/66.85 | (94) all_4_68 = n1
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (81) with all_4_71, all_4_68, n2, simplifying with
% 261.24/66.85 | (87), (88) gives:
% 261.24/66.85 | (95) all_4_68 = all_4_71
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (92), (93) imply:
% 261.24/66.85 | (96) all_4_70 = n3
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (94), (95) imply:
% 261.24/66.85 | (97) all_4_71 = n1
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (56), (92), (94) imply:
% 261.24/66.85 | (98) sum(n1, n3) = all_4_66
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (74), (94), (96) imply:
% 261.24/66.85 | (99) sum(n1, n3) = all_4_64
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (51), (92), (97) imply:
% 261.24/66.85 | (100) sum(n1, n3) = all_4_65
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (14), (96), (97) imply:
% 261.24/66.85 | (101) sum(n1, n3) = all_4_69
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with n4, all_4_65, n3, n1, simplifying with
% 261.24/66.85 | (80), (100) gives:
% 261.24/66.85 | (102) all_4_65 = n4
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_66, all_4_65, n3, n1, simplifying
% 261.24/66.85 | with (98), (100) gives:
% 261.24/66.85 | (103) all_4_65 = all_4_66
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_66, all_4_64, n3, n1, simplifying
% 261.24/66.85 | with (98), (99) gives:
% 261.24/66.85 | (104) all_4_64 = all_4_66
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_69, all_4_64, n3, n1, simplifying
% 261.24/66.85 | with (99), (101) gives:
% 261.24/66.85 | (105) all_4_64 = all_4_69
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (104), (105) imply:
% 261.24/66.85 | (106) all_4_66 = all_4_69
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (106) implies:
% 261.24/66.85 | (107) all_4_66 = all_4_69
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (102), (103) imply:
% 261.24/66.85 | (108) all_4_66 = n4
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (108) implies:
% 261.24/66.85 | (109) all_4_66 = n4
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (107), (109) imply:
% 261.24/66.85 | (110) all_4_69 = n4
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (105), (110) imply:
% 261.24/66.85 | (111) all_4_64 = n4
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (35), (102), (111) imply:
% 261.24/66.85 | (112) sum(n4, n4) = all_4_96
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (67), (109), (110) imply:
% 261.24/66.85 | (113) sum(n4, n4) = all_4_97
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with n8, all_4_96, n4, n4, simplifying with
% 261.24/66.85 | (73), (112) gives:
% 261.24/66.85 | (114) all_4_96 = n8
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_97, all_4_96, n4, n4, simplifying
% 261.24/66.85 | with (112), (113) gives:
% 261.24/66.85 | (115) all_4_96 = all_4_97
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (114), (115) imply:
% 261.24/66.85 | (116) all_4_97 = n8
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (116) implies:
% 261.24/66.85 | (117) all_4_97 = n8
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (41), (114) imply:
% 261.24/66.85 | (118) pred(n8) = all_4_60
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (38), (117) imply:
% 261.24/66.85 | (119) pred(n8) = all_4_63
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (42), (114) imply:
% 261.24/66.85 | (120) succ(n8) = all_4_62
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (75), (117) imply:
% 261.24/66.85 | (121) succ(n8) = all_4_59
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (37) with n9, all_4_59, n8, simplifying with (58),
% 261.24/66.85 | (121) gives:
% 261.24/66.85 | (122) all_4_59 = n9
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (37) with all_4_62, all_4_59, n8, simplifying with
% 261.24/66.85 | (120), (121) gives:
% 261.24/66.85 | (123) all_4_59 = all_4_62
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (81) with n7, all_4_60, n8, simplifying with (21),
% 261.24/66.85 | (118) gives:
% 261.24/66.85 | (124) all_4_60 = n7
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (81) with all_4_63, all_4_60, n8, simplifying with
% 261.24/66.85 | (118), (119) gives:
% 261.24/66.85 | (125) all_4_60 = all_4_63
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (122), (123) imply:
% 261.24/66.85 | (126) all_4_62 = n9
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (124), (125) imply:
% 261.24/66.85 | (127) all_4_63 = n7
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (52), (122), (124) imply:
% 261.24/66.85 | (128) sum(n7, n9) = all_4_58
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (13), (124), (126) imply:
% 261.24/66.85 | (129) sum(n7, n9) = all_4_56
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (16), (122), (127) imply:
% 261.24/66.85 | (130) sum(n7, n9) = all_4_57
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (18), (126), (127) imply:
% 261.24/66.85 | (131) sum(n7, n9) = all_4_61
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with n5, all_4_57, n9, n7, simplifying with
% 261.24/66.85 | (68), (130) gives:
% 261.24/66.85 | (132) all_4_57 = n5
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_58, all_4_57, n9, n7, simplifying
% 261.24/66.85 | with (128), (130) gives:
% 261.24/66.85 | (133) all_4_57 = all_4_58
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_57, all_4_56, n9, n7, simplifying
% 261.24/66.85 | with (129), (130) gives:
% 261.24/66.85 | (134) all_4_56 = all_4_57
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_61, all_4_56, n9, n7, simplifying
% 261.24/66.85 | with (129), (131) gives:
% 261.24/66.85 | (135) all_4_56 = all_4_61
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (134), (135) imply:
% 261.24/66.85 | (136) all_4_57 = all_4_61
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (136) implies:
% 261.24/66.85 | (137) all_4_57 = all_4_61
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (132), (133) imply:
% 261.24/66.85 | (138) all_4_58 = n5
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (133), (137) imply:
% 261.24/66.85 | (139) all_4_58 = all_4_61
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (138), (139) imply:
% 261.24/66.85 | (140) all_4_61 = n5
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (135), (140) imply:
% 261.24/66.85 | (141) all_4_56 = n5
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (27), (132), (141) imply:
% 261.24/66.85 | (142) sum(n5, n5) = all_4_94
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (77), (138), (140) imply:
% 261.24/66.85 | (143) sum(n5, n5) = all_4_95
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with n10, all_4_94, n5, n5, simplifying with
% 261.24/66.85 | (53), (142) gives:
% 261.24/66.85 | (144) all_4_94 = n10
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_95, all_4_94, n5, n5, simplifying
% 261.24/66.85 | with (142), (143) gives:
% 261.24/66.85 | (145) all_4_94 = all_4_95
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (144), (145) imply:
% 261.24/66.85 | (146) all_4_95 = n10
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (86), (144) imply:
% 261.24/66.85 | (147) pred(n10) = all_4_52
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (7), (146) imply:
% 261.24/66.85 | (148) pred(n10) = all_4_55
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (19), (144) imply:
% 261.24/66.85 | (149) succ(n10) = all_4_54
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (2), (146) imply:
% 261.24/66.85 | (150) succ(n10) = all_4_51
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (37) with n0, all_4_51, n10, simplifying with (36),
% 261.24/66.85 | (150) gives:
% 261.24/66.85 | (151) all_4_51 = n0
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (37) with all_4_54, all_4_51, n10, simplifying with
% 261.24/66.85 | (149), (150) gives:
% 261.24/66.85 | (152) all_4_51 = all_4_54
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (81) with n9, all_4_52, n10, simplifying with (66),
% 261.24/66.85 | (147) gives:
% 261.24/66.85 | (153) all_4_52 = n9
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (81) with all_4_55, all_4_52, n10, simplifying with
% 261.24/66.85 | (147), (148) gives:
% 261.24/66.85 | (154) all_4_52 = all_4_55
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (151), (152) imply:
% 261.24/66.85 | (155) all_4_54 = n0
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (153), (154) imply:
% 261.24/66.85 | (156) all_4_55 = n9
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (156) implies:
% 261.24/66.85 | (157) all_4_55 = n9
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (82), (151), (153) imply:
% 261.24/66.85 | (158) sum(n9, n0) = all_4_50
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (11), (153), (155) imply:
% 261.24/66.85 | (159) sum(n9, n0) = all_4_48
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (45), (151), (157) imply:
% 261.24/66.85 | (160) sum(n9, n0) = all_4_49
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (15), (155), (157) imply:
% 261.24/66.85 | (161) sum(n9, n0) = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with n9, all_4_49, n0, n9, simplifying with
% 261.24/66.85 | (10), (160) gives:
% 261.24/66.85 | (162) all_4_49 = n9
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_50, all_4_49, n0, n9, simplifying
% 261.24/66.85 | with (158), (160) gives:
% 261.24/66.85 | (163) all_4_49 = all_4_50
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_49, all_4_48, n0, n9, simplifying
% 261.24/66.85 | with (159), (160) gives:
% 261.24/66.85 | (164) all_4_48 = all_4_49
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_53, all_4_48, n0, n9, simplifying
% 261.24/66.85 | with (159), (161) gives:
% 261.24/66.85 | (165) all_4_48 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (164), (165) imply:
% 261.24/66.85 | (166) all_4_49 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (166) implies:
% 261.24/66.85 | (167) all_4_49 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (162), (163) imply:
% 261.24/66.85 | (168) all_4_50 = n9
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (163), (167) imply:
% 261.24/66.85 | (169) all_4_50 = all_4_53
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (168), (169) imply:
% 261.24/66.85 | (170) all_4_53 = n9
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (165), (170) imply:
% 261.24/66.85 | (171) all_4_48 = n9
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (78), (162), (171) imply:
% 261.24/66.85 | (172) sum(n9, n9) = all_4_92
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (83), (168), (170) imply:
% 261.24/66.85 | (173) sum(n9, n9) = all_4_93
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with n7, all_4_92, n9, n9, simplifying with
% 261.24/66.85 | (62), (172) gives:
% 261.24/66.85 | (174) all_4_92 = n7
% 261.24/66.85 |
% 261.24/66.85 | GROUND_INST: instantiating (60) with all_4_93, all_4_92, n9, n9, simplifying
% 261.24/66.85 | with (172), (173) gives:
% 261.24/66.85 | (175) all_4_92 = all_4_93
% 261.24/66.85 |
% 261.24/66.85 | COMBINE_EQS: (174), (175) imply:
% 261.24/66.85 | (176) all_4_93 = n7
% 261.24/66.85 |
% 261.24/66.85 | SIMP: (176) implies:
% 261.24/66.85 | (177) all_4_93 = n7
% 261.24/66.85 |
% 261.24/66.85 | REDUCE: (33), (174) imply:
% 261.24/66.86 | (178) pred(n7) = all_4_44
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (50), (177) imply:
% 261.24/66.86 | (179) pred(n7) = all_4_47
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (5), (174) imply:
% 261.24/66.86 | (180) succ(n7) = all_4_46
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (84), (177) imply:
% 261.24/66.86 | (181) succ(n7) = all_4_43
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (37) with n8, all_4_43, n7, simplifying with (48),
% 261.24/66.86 | (181) gives:
% 261.24/66.86 | (182) all_4_43 = n8
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (37) with all_4_46, all_4_43, n7, simplifying with
% 261.24/66.86 | (180), (181) gives:
% 261.24/66.86 | (183) all_4_43 = all_4_46
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n6, all_4_44, n7, simplifying with (46),
% 261.24/66.86 | (178) gives:
% 261.24/66.86 | (184) all_4_44 = n6
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_47, all_4_44, n7, simplifying with
% 261.24/66.86 | (178), (179) gives:
% 261.24/66.86 | (185) all_4_44 = all_4_47
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (182), (183) imply:
% 261.24/66.86 | (186) all_4_46 = n8
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (184), (185) imply:
% 261.24/66.86 | (187) all_4_47 = n6
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (64), (182), (184) imply:
% 261.24/66.86 | (188) sum(n6, n8) = all_4_42
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (8), (184), (186) imply:
% 261.24/66.86 | (189) sum(n6, n8) = all_4_40
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (29), (182), (187) imply:
% 261.24/66.86 | (190) sum(n6, n8) = all_4_41
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (49), (186), (187) imply:
% 261.24/66.86 | (191) sum(n6, n8) = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with n3, all_4_41, n8, n6, simplifying with
% 261.24/66.86 | (24), (190) gives:
% 261.24/66.86 | (192) all_4_41 = n3
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_42, all_4_41, n8, n6, simplifying
% 261.24/66.86 | with (188), (190) gives:
% 261.24/66.86 | (193) all_4_41 = all_4_42
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_41, all_4_40, n8, n6, simplifying
% 261.24/66.86 | with (189), (190) gives:
% 261.24/66.86 | (194) all_4_40 = all_4_41
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_45, all_4_40, n8, n6, simplifying
% 261.24/66.86 | with (189), (191) gives:
% 261.24/66.86 | (195) all_4_40 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (194), (195) imply:
% 261.24/66.86 | (196) all_4_41 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (196) implies:
% 261.24/66.86 | (197) all_4_41 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (192), (193) imply:
% 261.24/66.86 | (198) all_4_42 = n3
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (193), (197) imply:
% 261.24/66.86 | (199) all_4_42 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (198), (199) imply:
% 261.24/66.86 | (200) all_4_45 = n3
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (200) implies:
% 261.24/66.86 | (201) all_4_45 = n3
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (195), (201) imply:
% 261.24/66.86 | (202) all_4_40 = n3
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (54), (192), (202) imply:
% 261.24/66.86 | (203) sum(n3, n3) = all_4_90
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (61), (198), (201) imply:
% 261.24/66.86 | (204) sum(n3, n3) = all_4_91
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with n6, all_4_90, n3, n3, simplifying with
% 261.24/66.86 | (12), (203) gives:
% 261.24/66.86 | (205) all_4_90 = n6
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_91, all_4_90, n3, n3, simplifying
% 261.24/66.86 | with (203), (204) gives:
% 261.24/66.86 | (206) all_4_90 = all_4_91
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (205), (206) imply:
% 261.24/66.86 | (207) all_4_91 = n6
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (207) implies:
% 261.24/66.86 | (208) all_4_91 = n6
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (72), (205) imply:
% 261.24/66.86 | (209) pred(n6) = all_4_36
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (31), (208) imply:
% 261.24/66.86 | (210) pred(n6) = all_4_39
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (23), (205) imply:
% 261.24/66.86 | (211) succ(n6) = all_4_38
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (4), (208) imply:
% 261.24/66.86 | (212) succ(n6) = all_4_35
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (37) with n7, all_4_35, n6, simplifying with (57),
% 261.24/66.86 | (212) gives:
% 261.24/66.86 | (213) all_4_35 = n7
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (37) with all_4_38, all_4_35, n6, simplifying with
% 261.24/66.86 | (211), (212) gives:
% 261.24/66.86 | (214) all_4_35 = all_4_38
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n5, all_4_36, n6, simplifying with (40),
% 261.24/66.86 | (209) gives:
% 261.24/66.86 | (215) all_4_36 = n5
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_39, all_4_36, n6, simplifying with
% 261.24/66.86 | (209), (210) gives:
% 261.24/66.86 | (216) all_4_36 = all_4_39
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (213), (214) imply:
% 261.24/66.86 | (217) all_4_38 = n7
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (215), (216) imply:
% 261.24/66.86 | (218) all_4_39 = n5
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (47), (213), (215) imply:
% 261.24/66.86 | (219) sum(n5, n7) = all_4_34
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (76), (215), (217) imply:
% 261.24/66.86 | (220) sum(n5, n7) = all_4_32
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (59), (213), (218) imply:
% 261.24/66.86 | (221) sum(n5, n7) = all_4_33
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (63), (217), (218) imply:
% 261.24/66.86 | (222) sum(n5, n7) = all_4_37
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with n1, all_4_33, n7, n5, simplifying with
% 261.24/66.86 | (34), (221) gives:
% 261.24/66.86 | (223) all_4_33 = n1
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_34, all_4_33, n7, n5, simplifying
% 261.24/66.86 | with (219), (221) gives:
% 261.24/66.86 | (224) all_4_33 = all_4_34
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_33, all_4_32, n7, n5, simplifying
% 261.24/66.86 | with (220), (221) gives:
% 261.24/66.86 | (225) all_4_32 = all_4_33
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_37, all_4_32, n7, n5, simplifying
% 261.24/66.86 | with (220), (222) gives:
% 261.24/66.86 | (226) all_4_32 = all_4_37
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (225), (226) imply:
% 261.24/66.86 | (227) all_4_33 = all_4_37
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (227) implies:
% 261.24/66.86 | (228) all_4_33 = all_4_37
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (223), (224) imply:
% 261.24/66.86 | (229) all_4_34 = n1
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (224), (228) imply:
% 261.24/66.86 | (230) all_4_34 = all_4_37
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (229), (230) imply:
% 261.24/66.86 | (231) all_4_37 = n1
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (226), (231) imply:
% 261.24/66.86 | (232) all_4_32 = n1
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (28), (223), (232) imply:
% 261.24/66.86 | (233) sum(n1, n1) = all_4_88
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (20), (229), (231) imply:
% 261.24/66.86 | (234) sum(n1, n1) = all_4_89
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with n2, all_4_88, n1, n1, simplifying with
% 261.24/66.86 | (91), (233) gives:
% 261.24/66.86 | (235) all_4_88 = n2
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_89, all_4_88, n1, n1, simplifying
% 261.24/66.86 | with (233), (234) gives:
% 261.24/66.86 | (236) all_4_88 = all_4_89
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (235), (236) imply:
% 261.24/66.86 | (237) all_4_89 = n2
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (25), (235) imply:
% 261.24/66.86 | (238) pred(n2) = all_4_28
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (32), (237) imply:
% 261.24/66.86 | (239) pred(n2) = all_4_31
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (43), (235) imply:
% 261.24/66.86 | (240) succ(n2) = all_4_30
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (6), (237) imply:
% 261.24/66.86 | (241) succ(n2) = all_4_27
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (37) with n3, all_4_27, n2, simplifying with (55),
% 261.24/66.86 | (241) gives:
% 261.24/66.86 | (242) all_4_27 = n3
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (37) with all_4_30, all_4_27, n2, simplifying with
% 261.24/66.86 | (240), (241) gives:
% 261.24/66.86 | (243) all_4_27 = all_4_30
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n1, all_4_28, n2, simplifying with (70),
% 261.24/66.86 | (238) gives:
% 261.24/66.86 | (244) all_4_28 = n1
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_31, all_4_28, n2, simplifying with
% 261.24/66.86 | (238), (239) gives:
% 261.24/66.86 | (245) all_4_28 = all_4_31
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (242), (243) imply:
% 261.24/66.86 | (246) all_4_30 = n3
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (244), (245) imply:
% 261.24/66.86 | (247) all_4_31 = n1
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (1), (242), (244) imply:
% 261.24/66.86 | (248) sum(n1, n3) = all_4_26
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (9), (244), (246) imply:
% 261.24/66.86 | (249) sum(n1, n3) = all_4_24
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (17), (242), (247) imply:
% 261.24/66.86 | (250) sum(n1, n3) = all_4_25
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (26), (246), (247) imply:
% 261.24/66.86 | (251) sum(n1, n3) = all_4_29
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with n4, all_4_25, n3, n1, simplifying with
% 261.24/66.86 | (80), (250) gives:
% 261.24/66.86 | (252) all_4_25 = n4
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_26, all_4_25, n3, n1, simplifying
% 261.24/66.86 | with (248), (250) gives:
% 261.24/66.86 | (253) all_4_25 = all_4_26
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_25, all_4_24, n3, n1, simplifying
% 261.24/66.86 | with (249), (250) gives:
% 261.24/66.86 | (254) all_4_24 = all_4_25
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_29, all_4_24, n3, n1, simplifying
% 261.24/66.86 | with (249), (251) gives:
% 261.24/66.86 | (255) all_4_24 = all_4_29
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (254), (255) imply:
% 261.24/66.86 | (256) all_4_25 = all_4_29
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (256) implies:
% 261.24/66.86 | (257) all_4_25 = all_4_29
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (252), (253) imply:
% 261.24/66.86 | (258) all_4_26 = n4
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (253), (257) imply:
% 261.24/66.86 | (259) all_4_26 = all_4_29
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (258), (259) imply:
% 261.24/66.86 | (260) all_4_29 = n4
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (255), (260) imply:
% 261.24/66.86 | (261) all_4_24 = n4
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (3), (252), (261) imply:
% 261.24/66.86 | (262) sum(n4, n4) = all_4_86
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (30), (258), (260) imply:
% 261.24/66.86 | (263) sum(n4, n4) = all_4_87
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with n8, all_4_86, n4, n4, simplifying with
% 261.24/66.86 | (73), (262) gives:
% 261.24/66.86 | (264) all_4_86 = n8
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (60) with all_4_87, all_4_86, n4, n4, simplifying
% 261.24/66.86 | with (262), (263) gives:
% 261.24/66.86 | (265) all_4_86 = all_4_87
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (264), (265) imply:
% 261.24/66.86 | (266) all_4_87 = n8
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (266) implies:
% 261.24/66.86 | (267) all_4_87 = n8
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (79), (264), (267) imply:
% 261.24/66.86 | (268) $false
% 261.24/66.86 |
% 261.24/66.86 | CLOSE: (268) is inconsistent.
% 261.24/66.86 |
% 261.24/66.86 End of proof
% 261.24/66.86
% 261.24/66.86 Sub-proof #150 shows that the following formulas are inconsistent:
% 261.24/66.86 ----------------------------------------------------------------
% 261.24/66.86 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.24/66.86 (2) succ(all_4_95) = all_4_51
% 261.24/66.86 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.24/66.86 (4) succ(n1) = n2
% 261.24/66.86 (5) succ(all_4_91) = all_4_35
% 261.24/66.86 (6) sum(n4, n6) = n10
% 261.24/66.86 (7) succ(all_4_92) = all_4_46
% 261.24/66.86 (8) succ(all_4_89) = all_4_27
% 261.24/66.86 (9) pred(all_4_95) = all_4_55
% 261.24/66.86 (10) sum(all_4_44, all_4_46) = all_4_40
% 261.24/66.86 (11) sum(all_4_28, all_4_30) = all_4_24
% 261.24/66.86 (12) succ(n9) = n10
% 261.24/66.86 (13) sum(all_4_52, all_4_54) = all_4_48
% 261.24/66.86 (14) sum(all_4_60, all_4_62) = all_4_56
% 261.24/66.86 (15) sum(all_4_71, all_4_70) = all_4_69
% 261.24/66.86 (16) sum(all_4_55, all_4_54) = all_4_53
% 261.24/66.86 (17) sum(n2, n4) = n6
% 261.24/66.86 (18) sum(all_4_63, all_4_59) = all_4_57
% 261.24/66.86 (19) sum(all_4_31, all_4_27) = all_4_25
% 261.24/66.86 (20) sum(all_4_63, all_4_62) = all_4_61
% 261.24/66.86 (21) succ(all_4_94) = all_4_54
% 261.24/66.86 (22) sum(all_4_37, all_4_34) = all_4_89
% 261.24/66.86 (23) sum(n8, n8) = n5
% 261.24/66.86 (24) pred(all_4_99) = all_4_71
% 261.24/66.86 (25) succ(all_4_90) = all_4_38
% 261.24/66.86 (26) pred(all_4_88) = all_4_28
% 261.24/66.86 (27) sum(all_4_31, all_4_30) = all_4_29
% 261.24/66.86 (28) sum(n8, n10) = n7
% 261.24/66.86 (29) sum(all_4_57, all_4_56) = all_4_94
% 261.24/66.86 (30) sum(n0, n2) = n2
% 261.24/66.86 (31) sum(all_4_33, all_4_32) = all_4_88
% 261.24/66.86 (32) sum(n3, n5) = n8
% 261.24/66.86 (33) sum(n10, n10) = n9
% 261.24/66.86 (34) sum(all_4_47, all_4_43) = all_4_41
% 261.24/66.86 (35) pred(n5) = n4
% 261.24/66.86 (36) sum(all_4_29, all_4_26) = all_4_87
% 261.24/66.86 (37) pred(all_4_91) = all_4_39
% 261.24/66.86 (38) pred(all_4_89) = all_4_31
% 261.24/66.86 (39) pred(all_4_92) = all_4_44
% 261.24/66.86 (40) sum(all_4_65, all_4_64) = all_4_96
% 261.24/66.86 (41) pred(n4) = n3
% 261.24/66.86 (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.24/66.86 | ~ (succ(v2) = v0))
% 261.24/66.86 (43) pred(all_4_97) = all_4_63
% 261.24/66.86 (44) succ(all_4_99) = all_4_67
% 261.24/66.86 (45) pred(n9) = n8
% 261.24/66.86 (46) succ(n3) = n4
% 261.24/66.86 (47) pred(all_4_96) = all_4_60
% 261.24/66.86 (48) succ(all_4_96) = all_4_62
% 261.24/66.86 (49) pred(n3) = n2
% 261.24/66.86 (50) succ(all_4_88) = all_4_30
% 261.24/66.86 (51) sum(all_4_55, all_4_51) = all_4_49
% 261.24/66.86 (52) sum(all_4_36, all_4_35) = all_4_34
% 261.24/66.86 (53) sum(all_4_47, all_4_46) = all_4_45
% 261.24/66.86 (54) pred(all_4_93) = all_4_47
% 261.24/66.86 (55) sum(all_4_71, all_4_67) = all_4_65
% 261.24/66.86 (56) sum(all_4_60, all_4_59) = all_4_58
% 261.24/66.86 (57) sum(all_4_41, all_4_40) = all_4_90
% 261.24/66.86 (58) sum(all_4_68, all_4_67) = all_4_66
% 261.24/66.86 (59) all_4_99 = n4
% 261.24/66.86 (60) sum(all_4_39, all_4_35) = all_4_33
% 261.24/66.86 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.24/66.86 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.24/66.86 (62) sum(all_4_45, all_4_42) = all_4_91
% 261.24/66.86 (63) sum(all_4_39, all_4_38) = all_4_37
% 261.24/66.86 (64) sum(n6, n6) = n1
% 261.24/66.86 (65) sum(all_4_44, all_4_43) = all_4_42
% 261.24/66.86 (66) sum(n2, n2) = all_4_99
% 261.24/66.86 (67) succ(n5) = n6
% 261.24/66.86 (68) sum(all_4_69, all_4_66) = all_4_97
% 261.24/66.86 (69) succ(n4) = n5
% 261.24/66.86 (70) succ(all_4_98) = all_4_70
% 261.24/66.86 (71) pred(all_4_90) = all_4_36
% 261.24/66.86 (72) pred(n1) = n0
% 261.24/66.86 (73) sum(all_4_68, all_4_70) = all_4_64
% 261.24/66.86 (74) succ(all_4_97) = all_4_59
% 261.24/66.86 (75) sum(all_4_36, all_4_38) = all_4_32
% 261.24/66.86 (76) sum(all_4_61, all_4_58) = all_4_95
% 261.24/66.86 (77) sum(n7, n7) = n3
% 261.24/66.86 (78) all_4_98 = n4
% 261.24/66.86 (79) sum(all_4_49, all_4_48) = all_4_92
% 261.24/66.86 (80) ~ (all_4_86 = all_4_87)
% 261.24/66.86 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.24/66.86 | ~ (pred(v2) = v0))
% 261.24/66.86 (82) sum(all_4_52, all_4_51) = all_4_50
% 261.24/66.86 (83) sum(all_4_53, all_4_50) = all_4_93
% 261.24/66.86 (84) succ(all_4_93) = all_4_43
% 261.24/66.86 (85) pred(all_4_98) = all_4_68
% 261.24/66.86 (86) pred(all_4_94) = all_4_52
% 261.24/66.86
% 261.24/66.86 Begin of proof
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (78), (85) imply:
% 261.24/66.86 | (87) pred(n4) = all_4_68
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (24), (59) imply:
% 261.24/66.86 | (88) pred(n4) = all_4_71
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (70), (78) imply:
% 261.24/66.86 | (89) succ(n4) = all_4_70
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (44), (59) imply:
% 261.24/66.86 | (90) succ(n4) = all_4_67
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (59), (66) imply:
% 261.24/66.86 | (91) sum(n2, n2) = n4
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with n5, all_4_67, n4, simplifying with (69),
% 261.24/66.86 | (90) gives:
% 261.24/66.86 | (92) all_4_67 = n5
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with all_4_70, all_4_67, n4, simplifying with
% 261.24/66.86 | (89), (90) gives:
% 261.24/66.86 | (93) all_4_67 = all_4_70
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n3, all_4_68, n4, simplifying with (41),
% 261.24/66.86 | (87) gives:
% 261.24/66.86 | (94) all_4_68 = n3
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_71, all_4_68, n4, simplifying with
% 261.24/66.86 | (87), (88) gives:
% 261.24/66.86 | (95) all_4_68 = all_4_71
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (92), (93) imply:
% 261.24/66.86 | (96) all_4_70 = n5
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (94), (95) imply:
% 261.24/66.86 | (97) all_4_71 = n3
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (58), (92), (94) imply:
% 261.24/66.86 | (98) sum(n3, n5) = all_4_66
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (73), (94), (96) imply:
% 261.24/66.86 | (99) sum(n3, n5) = all_4_64
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (55), (92), (97) imply:
% 261.24/66.86 | (100) sum(n3, n5) = all_4_65
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (15), (96), (97) imply:
% 261.24/66.86 | (101) sum(n3, n5) = all_4_69
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n8, all_4_65, n5, n3, simplifying with
% 261.24/66.86 | (32), (100) gives:
% 261.24/66.86 | (102) all_4_65 = n8
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_66, all_4_65, n5, n3, simplifying
% 261.24/66.86 | with (98), (100) gives:
% 261.24/66.86 | (103) all_4_65 = all_4_66
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_66, all_4_64, n5, n3, simplifying
% 261.24/66.86 | with (98), (99) gives:
% 261.24/66.86 | (104) all_4_64 = all_4_66
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_69, all_4_64, n5, n3, simplifying
% 261.24/66.86 | with (99), (101) gives:
% 261.24/66.86 | (105) all_4_64 = all_4_69
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (104), (105) imply:
% 261.24/66.86 | (106) all_4_66 = all_4_69
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (106) implies:
% 261.24/66.86 | (107) all_4_66 = all_4_69
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (102), (103) imply:
% 261.24/66.86 | (108) all_4_66 = n8
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (108) implies:
% 261.24/66.86 | (109) all_4_66 = n8
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (107), (109) imply:
% 261.24/66.86 | (110) all_4_69 = n8
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (105), (110) imply:
% 261.24/66.86 | (111) all_4_64 = n8
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (40), (102), (111) imply:
% 261.24/66.86 | (112) sum(n8, n8) = all_4_96
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (68), (109), (110) imply:
% 261.24/66.86 | (113) sum(n8, n8) = all_4_97
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n5, all_4_96, n8, n8, simplifying with
% 261.24/66.86 | (23), (112) gives:
% 261.24/66.86 | (114) all_4_96 = n5
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_97, all_4_96, n8, n8, simplifying
% 261.24/66.86 | with (112), (113) gives:
% 261.24/66.86 | (115) all_4_96 = all_4_97
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (114), (115) imply:
% 261.24/66.86 | (116) all_4_97 = n5
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (116) implies:
% 261.24/66.86 | (117) all_4_97 = n5
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (47), (114) imply:
% 261.24/66.86 | (118) pred(n5) = all_4_60
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (43), (117) imply:
% 261.24/66.86 | (119) pred(n5) = all_4_63
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (48), (114) imply:
% 261.24/66.86 | (120) succ(n5) = all_4_62
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (74), (117) imply:
% 261.24/66.86 | (121) succ(n5) = all_4_59
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with n6, all_4_59, n5, simplifying with (67),
% 261.24/66.86 | (121) gives:
% 261.24/66.86 | (122) all_4_59 = n6
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with all_4_62, all_4_59, n5, simplifying with
% 261.24/66.86 | (120), (121) gives:
% 261.24/66.86 | (123) all_4_59 = all_4_62
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n4, all_4_60, n5, simplifying with (35),
% 261.24/66.86 | (118) gives:
% 261.24/66.86 | (124) all_4_60 = n4
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_63, all_4_60, n5, simplifying with
% 261.24/66.86 | (118), (119) gives:
% 261.24/66.86 | (125) all_4_60 = all_4_63
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (122), (123) imply:
% 261.24/66.86 | (126) all_4_62 = n6
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (124), (125) imply:
% 261.24/66.86 | (127) all_4_63 = n4
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (56), (122), (124) imply:
% 261.24/66.86 | (128) sum(n4, n6) = all_4_58
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (14), (124), (126) imply:
% 261.24/66.86 | (129) sum(n4, n6) = all_4_56
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (18), (122), (127) imply:
% 261.24/66.86 | (130) sum(n4, n6) = all_4_57
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (20), (126), (127) imply:
% 261.24/66.86 | (131) sum(n4, n6) = all_4_61
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n10, all_4_57, n6, n4, simplifying with
% 261.24/66.86 | (6), (130) gives:
% 261.24/66.86 | (132) all_4_57 = n10
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_58, all_4_57, n6, n4, simplifying
% 261.24/66.86 | with (128), (130) gives:
% 261.24/66.86 | (133) all_4_57 = all_4_58
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_57, all_4_56, n6, n4, simplifying
% 261.24/66.86 | with (129), (130) gives:
% 261.24/66.86 | (134) all_4_56 = all_4_57
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_61, all_4_56, n6, n4, simplifying
% 261.24/66.86 | with (129), (131) gives:
% 261.24/66.86 | (135) all_4_56 = all_4_61
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (134), (135) imply:
% 261.24/66.86 | (136) all_4_57 = all_4_61
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (136) implies:
% 261.24/66.86 | (137) all_4_57 = all_4_61
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (132), (133) imply:
% 261.24/66.86 | (138) all_4_58 = n10
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (133), (137) imply:
% 261.24/66.86 | (139) all_4_58 = all_4_61
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (138), (139) imply:
% 261.24/66.86 | (140) all_4_61 = n10
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (135), (140) imply:
% 261.24/66.86 | (141) all_4_56 = n10
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (29), (132), (141) imply:
% 261.24/66.86 | (142) sum(n10, n10) = all_4_94
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (76), (138), (140) imply:
% 261.24/66.86 | (143) sum(n10, n10) = all_4_95
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n9, all_4_94, n10, n10, simplifying with
% 261.24/66.86 | (33), (142) gives:
% 261.24/66.86 | (144) all_4_94 = n9
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_95, all_4_94, n10, n10, simplifying
% 261.24/66.86 | with (142), (143) gives:
% 261.24/66.86 | (145) all_4_94 = all_4_95
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (144), (145) imply:
% 261.24/66.86 | (146) all_4_95 = n9
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (86), (144) imply:
% 261.24/66.86 | (147) pred(n9) = all_4_52
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (9), (146) imply:
% 261.24/66.86 | (148) pred(n9) = all_4_55
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (21), (144) imply:
% 261.24/66.86 | (149) succ(n9) = all_4_54
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (2), (146) imply:
% 261.24/66.86 | (150) succ(n9) = all_4_51
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with n10, all_4_51, n9, simplifying with (12),
% 261.24/66.86 | (150) gives:
% 261.24/66.86 | (151) all_4_51 = n10
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with all_4_54, all_4_51, n9, simplifying with
% 261.24/66.86 | (149), (150) gives:
% 261.24/66.86 | (152) all_4_51 = all_4_54
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n8, all_4_52, n9, simplifying with (45),
% 261.24/66.86 | (147) gives:
% 261.24/66.86 | (153) all_4_52 = n8
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_55, all_4_52, n9, simplifying with
% 261.24/66.86 | (147), (148) gives:
% 261.24/66.86 | (154) all_4_52 = all_4_55
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (151), (152) imply:
% 261.24/66.86 | (155) all_4_54 = n10
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (153), (154) imply:
% 261.24/66.86 | (156) all_4_55 = n8
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (156) implies:
% 261.24/66.86 | (157) all_4_55 = n8
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (82), (151), (153) imply:
% 261.24/66.86 | (158) sum(n8, n10) = all_4_50
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (13), (153), (155) imply:
% 261.24/66.86 | (159) sum(n8, n10) = all_4_48
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (51), (151), (157) imply:
% 261.24/66.86 | (160) sum(n8, n10) = all_4_49
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (16), (155), (157) imply:
% 261.24/66.86 | (161) sum(n8, n10) = all_4_53
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n7, all_4_49, n10, n8, simplifying with
% 261.24/66.86 | (28), (160) gives:
% 261.24/66.86 | (162) all_4_49 = n7
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_50, all_4_49, n10, n8, simplifying
% 261.24/66.86 | with (158), (160) gives:
% 261.24/66.86 | (163) all_4_49 = all_4_50
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_49, all_4_48, n10, n8, simplifying
% 261.24/66.86 | with (159), (160) gives:
% 261.24/66.86 | (164) all_4_48 = all_4_49
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_53, all_4_48, n10, n8, simplifying
% 261.24/66.86 | with (159), (161) gives:
% 261.24/66.86 | (165) all_4_48 = all_4_53
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (164), (165) imply:
% 261.24/66.86 | (166) all_4_49 = all_4_53
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (166) implies:
% 261.24/66.86 | (167) all_4_49 = all_4_53
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (162), (163) imply:
% 261.24/66.86 | (168) all_4_50 = n7
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (163), (167) imply:
% 261.24/66.86 | (169) all_4_50 = all_4_53
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (168), (169) imply:
% 261.24/66.86 | (170) all_4_53 = n7
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (165), (170) imply:
% 261.24/66.86 | (171) all_4_48 = n7
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (79), (162), (171) imply:
% 261.24/66.86 | (172) sum(n7, n7) = all_4_92
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (83), (168), (170) imply:
% 261.24/66.86 | (173) sum(n7, n7) = all_4_93
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n3, all_4_92, n7, n7, simplifying with
% 261.24/66.86 | (77), (172) gives:
% 261.24/66.86 | (174) all_4_92 = n3
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_93, all_4_92, n7, n7, simplifying
% 261.24/66.86 | with (172), (173) gives:
% 261.24/66.86 | (175) all_4_92 = all_4_93
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (174), (175) imply:
% 261.24/66.86 | (176) all_4_93 = n3
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (176) implies:
% 261.24/66.86 | (177) all_4_93 = n3
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (39), (174) imply:
% 261.24/66.86 | (178) pred(n3) = all_4_44
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (54), (177) imply:
% 261.24/66.86 | (179) pred(n3) = all_4_47
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (7), (174) imply:
% 261.24/66.86 | (180) succ(n3) = all_4_46
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (84), (177) imply:
% 261.24/66.86 | (181) succ(n3) = all_4_43
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with n4, all_4_43, n3, simplifying with (46),
% 261.24/66.86 | (181) gives:
% 261.24/66.86 | (182) all_4_43 = n4
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (42) with all_4_46, all_4_43, n3, simplifying with
% 261.24/66.86 | (180), (181) gives:
% 261.24/66.86 | (183) all_4_43 = all_4_46
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with n2, all_4_44, n3, simplifying with (49),
% 261.24/66.86 | (178) gives:
% 261.24/66.86 | (184) all_4_44 = n2
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (81) with all_4_47, all_4_44, n3, simplifying with
% 261.24/66.86 | (178), (179) gives:
% 261.24/66.86 | (185) all_4_44 = all_4_47
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (182), (183) imply:
% 261.24/66.86 | (186) all_4_46 = n4
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (184), (185) imply:
% 261.24/66.86 | (187) all_4_47 = n2
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (65), (182), (184) imply:
% 261.24/66.86 | (188) sum(n2, n4) = all_4_42
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (10), (184), (186) imply:
% 261.24/66.86 | (189) sum(n2, n4) = all_4_40
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (34), (182), (187) imply:
% 261.24/66.86 | (190) sum(n2, n4) = all_4_41
% 261.24/66.86 |
% 261.24/66.86 | REDUCE: (53), (186), (187) imply:
% 261.24/66.86 | (191) sum(n2, n4) = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with n6, all_4_41, n4, n2, simplifying with
% 261.24/66.86 | (17), (190) gives:
% 261.24/66.86 | (192) all_4_41 = n6
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_42, all_4_41, n4, n2, simplifying
% 261.24/66.86 | with (188), (190) gives:
% 261.24/66.86 | (193) all_4_41 = all_4_42
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_41, all_4_40, n4, n2, simplifying
% 261.24/66.86 | with (189), (190) gives:
% 261.24/66.86 | (194) all_4_40 = all_4_41
% 261.24/66.86 |
% 261.24/66.86 | GROUND_INST: instantiating (61) with all_4_45, all_4_40, n4, n2, simplifying
% 261.24/66.86 | with (189), (191) gives:
% 261.24/66.86 | (195) all_4_40 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (194), (195) imply:
% 261.24/66.86 | (196) all_4_41 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (196) implies:
% 261.24/66.86 | (197) all_4_41 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (192), (193) imply:
% 261.24/66.86 | (198) all_4_42 = n6
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (193), (197) imply:
% 261.24/66.86 | (199) all_4_42 = all_4_45
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (198), (199) imply:
% 261.24/66.86 | (200) all_4_45 = n6
% 261.24/66.86 |
% 261.24/66.86 | SIMP: (200) implies:
% 261.24/66.86 | (201) all_4_45 = n6
% 261.24/66.86 |
% 261.24/66.86 | COMBINE_EQS: (195), (201) imply:
% 261.24/66.87 | (202) all_4_40 = n6
% 261.24/66.87 |
% 261.24/66.87 | REDUCE: (57), (192), (202) imply:
% 261.24/66.87 | (203) sum(n6, n6) = all_4_90
% 261.24/66.87 |
% 261.24/66.87 | REDUCE: (62), (198), (201) imply:
% 261.24/66.87 | (204) sum(n6, n6) = all_4_91
% 261.24/66.87 |
% 261.24/66.87 | GROUND_INST: instantiating (61) with n1, all_4_90, n6, n6, simplifying with
% 261.24/66.87 | (64), (203) gives:
% 261.24/66.87 | (205) all_4_90 = n1
% 261.24/66.87 |
% 261.24/66.87 | GROUND_INST: instantiating (61) with all_4_91, all_4_90, n6, n6, simplifying
% 261.24/66.87 | with (203), (204) gives:
% 261.24/66.87 | (206) all_4_90 = all_4_91
% 261.24/66.87 |
% 261.24/66.87 | COMBINE_EQS: (205), (206) imply:
% 261.24/66.87 | (207) all_4_91 = n1
% 261.24/66.87 |
% 261.24/66.87 | SIMP: (207) implies:
% 261.24/66.87 | (208) all_4_91 = n1
% 261.24/66.87 |
% 261.24/66.87 | REDUCE: (71), (205) imply:
% 261.24/66.87 | (209) pred(n1) = all_4_36
% 261.24/66.87 |
% 261.24/66.87 | REDUCE: (37), (208) imply:
% 261.24/66.87 | (210) pred(n1) = all_4_39
% 261.24/66.87 |
% 261.24/66.87 | REDUCE: (25), (205) imply:
% 261.24/66.87 | (211) succ(n1) = all_4_38
% 261.24/66.87 |
% 261.24/66.87 | REDUCE: (5), (208) imply:
% 261.24/66.87 | (212) succ(n1) = all_4_35
% 261.24/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (42) with n2, all_4_35, n1, simplifying with (4),
% 261.31/66.87 | (212) gives:
% 261.31/66.87 | (213) all_4_35 = n2
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (42) with all_4_38, all_4_35, n1, simplifying with
% 261.31/66.87 | (211), (212) gives:
% 261.31/66.87 | (214) all_4_35 = all_4_38
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (81) with n0, all_4_36, n1, simplifying with (72),
% 261.31/66.87 | (209) gives:
% 261.31/66.87 | (215) all_4_36 = n0
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (81) with all_4_39, all_4_36, n1, simplifying with
% 261.31/66.87 | (209), (210) gives:
% 261.31/66.87 | (216) all_4_36 = all_4_39
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (213), (214) imply:
% 261.31/66.87 | (217) all_4_38 = n2
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.87 | (218) all_4_39 = n0
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (52), (213), (215) imply:
% 261.31/66.87 | (219) sum(n0, n2) = all_4_34
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (75), (215), (217) imply:
% 261.31/66.87 | (220) sum(n0, n2) = all_4_32
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (60), (213), (218) imply:
% 261.31/66.87 | (221) sum(n0, n2) = all_4_33
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (63), (217), (218) imply:
% 261.31/66.87 | (222) sum(n0, n2) = all_4_37
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with n2, all_4_33, n2, n0, simplifying with
% 261.31/66.87 | (30), (221) gives:
% 261.31/66.87 | (223) all_4_33 = n2
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_34, all_4_33, n2, n0, simplifying
% 261.31/66.87 | with (219), (221) gives:
% 261.31/66.87 | (224) all_4_33 = all_4_34
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_33, all_4_32, n2, n0, simplifying
% 261.31/66.87 | with (220), (221) gives:
% 261.31/66.87 | (225) all_4_32 = all_4_33
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_37, all_4_32, n2, n0, simplifying
% 261.31/66.87 | with (220), (222) gives:
% 261.31/66.87 | (226) all_4_32 = all_4_37
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.87 | (227) all_4_33 = all_4_37
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (227) implies:
% 261.31/66.87 | (228) all_4_33 = all_4_37
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.87 | (229) all_4_34 = n2
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (224), (228) imply:
% 261.31/66.87 | (230) all_4_34 = all_4_37
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (229), (230) imply:
% 261.31/66.87 | (231) all_4_37 = n2
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (226), (231) imply:
% 261.31/66.87 | (232) all_4_32 = n2
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (31), (223), (232) imply:
% 261.31/66.87 | (233) sum(n2, n2) = all_4_88
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (22), (229), (231) imply:
% 261.31/66.87 | (234) sum(n2, n2) = all_4_89
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with n4, all_4_88, n2, n2, simplifying with
% 261.31/66.87 | (91), (233) gives:
% 261.31/66.87 | (235) all_4_88 = n4
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_89, all_4_88, n2, n2, simplifying
% 261.31/66.87 | with (233), (234) gives:
% 261.31/66.87 | (236) all_4_88 = all_4_89
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.87 | (237) all_4_89 = n4
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (26), (235) imply:
% 261.31/66.87 | (238) pred(n4) = all_4_28
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (38), (237) imply:
% 261.31/66.87 | (239) pred(n4) = all_4_31
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (50), (235) imply:
% 261.31/66.87 | (240) succ(n4) = all_4_30
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (8), (237) imply:
% 261.31/66.87 | (241) succ(n4) = all_4_27
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (42) with n5, all_4_27, n4, simplifying with (69),
% 261.31/66.87 | (241) gives:
% 261.31/66.87 | (242) all_4_27 = n5
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (42) with all_4_30, all_4_27, n4, simplifying with
% 261.31/66.87 | (240), (241) gives:
% 261.31/66.87 | (243) all_4_27 = all_4_30
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (81) with n3, all_4_28, n4, simplifying with (41),
% 261.31/66.87 | (238) gives:
% 261.31/66.87 | (244) all_4_28 = n3
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (81) with all_4_31, all_4_28, n4, simplifying with
% 261.31/66.87 | (238), (239) gives:
% 261.31/66.87 | (245) all_4_28 = all_4_31
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (242), (243) imply:
% 261.31/66.87 | (246) all_4_30 = n5
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (244), (245) imply:
% 261.31/66.87 | (247) all_4_31 = n3
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (1), (242), (244) imply:
% 261.31/66.87 | (248) sum(n3, n5) = all_4_26
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (11), (244), (246) imply:
% 261.31/66.87 | (249) sum(n3, n5) = all_4_24
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (19), (242), (247) imply:
% 261.31/66.87 | (250) sum(n3, n5) = all_4_25
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (27), (246), (247) imply:
% 261.31/66.87 | (251) sum(n3, n5) = all_4_29
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with n8, all_4_25, n5, n3, simplifying with
% 261.31/66.87 | (32), (250) gives:
% 261.31/66.87 | (252) all_4_25 = n8
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_26, all_4_25, n5, n3, simplifying
% 261.31/66.87 | with (248), (250) gives:
% 261.31/66.87 | (253) all_4_25 = all_4_26
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_25, all_4_24, n5, n3, simplifying
% 261.31/66.87 | with (249), (250) gives:
% 261.31/66.87 | (254) all_4_24 = all_4_25
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_29, all_4_24, n5, n3, simplifying
% 261.31/66.87 | with (249), (251) gives:
% 261.31/66.87 | (255) all_4_24 = all_4_29
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (254), (255) imply:
% 261.31/66.87 | (256) all_4_25 = all_4_29
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (256) implies:
% 261.31/66.87 | (257) all_4_25 = all_4_29
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (252), (253) imply:
% 261.31/66.87 | (258) all_4_26 = n8
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (253), (257) imply:
% 261.31/66.87 | (259) all_4_26 = all_4_29
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (258), (259) imply:
% 261.31/66.87 | (260) all_4_29 = n8
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (255), (260) imply:
% 261.31/66.87 | (261) all_4_24 = n8
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (3), (252), (261) imply:
% 261.31/66.87 | (262) sum(n8, n8) = all_4_86
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (36), (258), (260) imply:
% 261.31/66.87 | (263) sum(n8, n8) = all_4_87
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with n5, all_4_86, n8, n8, simplifying with
% 261.31/66.87 | (23), (262) gives:
% 261.31/66.87 | (264) all_4_86 = n5
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (61) with all_4_87, all_4_86, n8, n8, simplifying
% 261.31/66.87 | with (262), (263) gives:
% 261.31/66.87 | (265) all_4_86 = all_4_87
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (264), (265) imply:
% 261.31/66.87 | (266) all_4_87 = n5
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (266) implies:
% 261.31/66.87 | (267) all_4_87 = n5
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (80), (264), (267) imply:
% 261.31/66.87 | (268) $false
% 261.31/66.87 |
% 261.31/66.87 | CLOSE: (268) is inconsistent.
% 261.31/66.87 |
% 261.31/66.87 End of proof
% 261.31/66.87
% 261.31/66.87 Sub-proof #151 shows that the following formulas are inconsistent:
% 261.31/66.87 ----------------------------------------------------------------
% 261.31/66.87 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.87 (2) succ(all_4_95) = all_4_51
% 261.31/66.87 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.87 (4) succ(all_4_91) = all_4_35
% 261.31/66.87 (5) succ(all_4_92) = all_4_46
% 261.31/66.87 (6) succ(all_4_89) = all_4_27
% 261.31/66.87 (7) pred(all_4_95) = all_4_55
% 261.31/66.87 (8) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.87 (9) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.87 (10) sum(n9, n0) = n9
% 261.31/66.87 (11) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.87 (12) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.87 (13) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.87 (14) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.87 (15) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.87 (16) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.87 (17) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.87 (18) succ(all_4_94) = all_4_54
% 261.31/66.87 (19) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.87 (20) pred(n8) = n7
% 261.31/66.87 (21) pred(all_4_99) = all_4_71
% 261.31/66.87 (22) succ(all_4_90) = all_4_38
% 261.31/66.87 (23) sum(n6, n8) = n3
% 261.31/66.87 (24) pred(all_4_88) = all_4_28
% 261.31/66.87 (25) all_4_98 = n6
% 261.31/66.87 (26) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.87 (27) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.87 (28) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.87 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.87 (30) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.87 (31) pred(all_4_91) = all_4_39
% 261.31/66.87 (32) pred(all_4_89) = all_4_31
% 261.31/66.87 (33) pred(all_4_92) = all_4_44
% 261.31/66.87 (34) sum(n5, n7) = n1
% 261.31/66.87 (35) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.87 (36) succ(n10) = n0
% 261.31/66.87 (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.87 | ~ (succ(v2) = v0))
% 261.31/66.87 (38) pred(all_4_97) = all_4_63
% 261.31/66.87 (39) succ(all_4_99) = all_4_67
% 261.31/66.87 (40) pred(n6) = n5
% 261.31/66.87 (41) pred(all_4_96) = all_4_60
% 261.31/66.87 (42) succ(all_4_96) = all_4_62
% 261.31/66.87 (43) succ(all_4_88) = all_4_30
% 261.31/66.87 (44) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.87 (45) pred(n7) = n6
% 261.31/66.87 (46) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.87 (47) succ(n7) = n8
% 261.31/66.87 (48) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.87 (49) pred(all_4_93) = all_4_47
% 261.31/66.87 (50) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.87 (51) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.87 (52) sum(n5, n5) = n10
% 261.31/66.87 (53) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.87 (54) succ(n2) = n3
% 261.31/66.87 (55) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.87 (56) succ(n6) = n7
% 261.31/66.87 (57) succ(n8) = n9
% 261.31/66.87 (58) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.87 (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.87 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.87 (60) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.87 (61) sum(n9, n9) = n7
% 261.31/66.87 (62) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.87 (63) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.87 (64) pred(n10) = n9
% 261.31/66.87 (65) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.87 (66) sum(n7, n9) = n5
% 261.31/66.87 (67) pred(n2) = n1
% 261.31/66.87 (68) sum(n3, n3) = all_4_99
% 261.31/66.87 (69) succ(all_4_98) = all_4_70
% 261.31/66.87 (70) pred(all_4_90) = all_4_36
% 261.31/66.87 (71) sum(n4, n4) = n8
% 261.31/66.87 (72) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.87 (73) succ(all_4_97) = all_4_59
% 261.31/66.87 (74) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.87 (75) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.87 (76) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.87 (77) all_4_99 = n6
% 261.31/66.87 (78) ~ (all_4_86 = all_4_87)
% 261.31/66.87 (79) sum(n1, n3) = n4
% 261.31/66.87 (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.87 | ~ (pred(v2) = v0))
% 261.31/66.87 (81) sum(n1, n1) = n2
% 261.31/66.87 (82) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.87 (83) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.87 (84) succ(all_4_93) = all_4_43
% 261.31/66.87 (85) pred(all_4_98) = all_4_68
% 261.31/66.87 (86) pred(all_4_94) = all_4_52
% 261.31/66.87
% 261.31/66.87 Begin of proof
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (25), (85) imply:
% 261.31/66.87 | (87) pred(n6) = all_4_68
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (21), (77) imply:
% 261.31/66.87 | (88) pred(n6) = all_4_71
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (25), (69) imply:
% 261.31/66.87 | (89) succ(n6) = all_4_70
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (39), (77) imply:
% 261.31/66.87 | (90) succ(n6) = all_4_67
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (68), (77) imply:
% 261.31/66.87 | (91) sum(n3, n3) = n6
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with n7, all_4_67, n6, simplifying with (56),
% 261.31/66.87 | (90) gives:
% 261.31/66.87 | (92) all_4_67 = n7
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with all_4_70, all_4_67, n6, simplifying with
% 261.31/66.87 | (89), (90) gives:
% 261.31/66.87 | (93) all_4_67 = all_4_70
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with n5, all_4_68, n6, simplifying with (40),
% 261.31/66.87 | (87) gives:
% 261.31/66.87 | (94) all_4_68 = n5
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with all_4_71, all_4_68, n6, simplifying with
% 261.31/66.87 | (87), (88) gives:
% 261.31/66.87 | (95) all_4_68 = all_4_71
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (92), (93) imply:
% 261.31/66.87 | (96) all_4_70 = n7
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (94), (95) imply:
% 261.31/66.87 | (97) all_4_71 = n5
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (55), (92), (94) imply:
% 261.31/66.87 | (98) sum(n5, n7) = all_4_66
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (72), (94), (96) imply:
% 261.31/66.87 | (99) sum(n5, n7) = all_4_64
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (50), (92), (97) imply:
% 261.31/66.87 | (100) sum(n5, n7) = all_4_65
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (13), (96), (97) imply:
% 261.31/66.87 | (101) sum(n5, n7) = all_4_69
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n1, all_4_65, n7, n5, simplifying with
% 261.31/66.87 | (34), (100) gives:
% 261.31/66.87 | (102) all_4_65 = n1
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_66, all_4_65, n7, n5, simplifying
% 261.31/66.87 | with (98), (100) gives:
% 261.31/66.87 | (103) all_4_65 = all_4_66
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_66, all_4_64, n7, n5, simplifying
% 261.31/66.87 | with (98), (99) gives:
% 261.31/66.87 | (104) all_4_64 = all_4_66
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_69, all_4_64, n7, n5, simplifying
% 261.31/66.87 | with (99), (101) gives:
% 261.31/66.87 | (105) all_4_64 = all_4_69
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.87 | (106) all_4_66 = all_4_69
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (106) implies:
% 261.31/66.87 | (107) all_4_66 = all_4_69
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.87 | (108) all_4_66 = n1
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (108) implies:
% 261.31/66.87 | (109) all_4_66 = n1
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (107), (109) imply:
% 261.31/66.87 | (110) all_4_69 = n1
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (105), (110) imply:
% 261.31/66.87 | (111) all_4_64 = n1
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (35), (102), (111) imply:
% 261.31/66.87 | (112) sum(n1, n1) = all_4_96
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (65), (109), (110) imply:
% 261.31/66.87 | (113) sum(n1, n1) = all_4_97
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n2, all_4_96, n1, n1, simplifying with
% 261.31/66.87 | (81), (112) gives:
% 261.31/66.87 | (114) all_4_96 = n2
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_97, all_4_96, n1, n1, simplifying
% 261.31/66.87 | with (112), (113) gives:
% 261.31/66.87 | (115) all_4_96 = all_4_97
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.87 | (116) all_4_97 = n2
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (116) implies:
% 261.31/66.87 | (117) all_4_97 = n2
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (41), (114) imply:
% 261.31/66.87 | (118) pred(n2) = all_4_60
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (38), (117) imply:
% 261.31/66.87 | (119) pred(n2) = all_4_63
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (42), (114) imply:
% 261.31/66.87 | (120) succ(n2) = all_4_62
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (73), (117) imply:
% 261.31/66.87 | (121) succ(n2) = all_4_59
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with n3, all_4_59, n2, simplifying with (54),
% 261.31/66.87 | (121) gives:
% 261.31/66.87 | (122) all_4_59 = n3
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with all_4_62, all_4_59, n2, simplifying with
% 261.31/66.87 | (120), (121) gives:
% 261.31/66.87 | (123) all_4_59 = all_4_62
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with n1, all_4_60, n2, simplifying with (67),
% 261.31/66.87 | (118) gives:
% 261.31/66.87 | (124) all_4_60 = n1
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with all_4_63, all_4_60, n2, simplifying with
% 261.31/66.87 | (118), (119) gives:
% 261.31/66.87 | (125) all_4_60 = all_4_63
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (122), (123) imply:
% 261.31/66.87 | (126) all_4_62 = n3
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.87 | (127) all_4_63 = n1
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (51), (122), (124) imply:
% 261.31/66.87 | (128) sum(n1, n3) = all_4_58
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (12), (124), (126) imply:
% 261.31/66.87 | (129) sum(n1, n3) = all_4_56
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (15), (122), (127) imply:
% 261.31/66.87 | (130) sum(n1, n3) = all_4_57
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (17), (126), (127) imply:
% 261.31/66.87 | (131) sum(n1, n3) = all_4_61
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n4, all_4_57, n3, n1, simplifying with
% 261.31/66.87 | (79), (130) gives:
% 261.31/66.87 | (132) all_4_57 = n4
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_58, all_4_57, n3, n1, simplifying
% 261.31/66.87 | with (128), (130) gives:
% 261.31/66.87 | (133) all_4_57 = all_4_58
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_57, all_4_56, n3, n1, simplifying
% 261.31/66.87 | with (129), (130) gives:
% 261.31/66.87 | (134) all_4_56 = all_4_57
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_61, all_4_56, n3, n1, simplifying
% 261.31/66.87 | with (129), (131) gives:
% 261.31/66.87 | (135) all_4_56 = all_4_61
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.87 | (136) all_4_57 = all_4_61
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (136) implies:
% 261.31/66.87 | (137) all_4_57 = all_4_61
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.87 | (138) all_4_58 = n4
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (133), (137) imply:
% 261.31/66.87 | (139) all_4_58 = all_4_61
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (138), (139) imply:
% 261.31/66.87 | (140) all_4_61 = n4
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (135), (140) imply:
% 261.31/66.87 | (141) all_4_56 = n4
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (27), (132), (141) imply:
% 261.31/66.87 | (142) sum(n4, n4) = all_4_94
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (75), (138), (140) imply:
% 261.31/66.87 | (143) sum(n4, n4) = all_4_95
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n8, all_4_94, n4, n4, simplifying with
% 261.31/66.87 | (71), (142) gives:
% 261.31/66.87 | (144) all_4_94 = n8
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_95, all_4_94, n4, n4, simplifying
% 261.31/66.87 | with (142), (143) gives:
% 261.31/66.87 | (145) all_4_94 = all_4_95
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.87 | (146) all_4_95 = n8
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (86), (144) imply:
% 261.31/66.87 | (147) pred(n8) = all_4_52
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (7), (146) imply:
% 261.31/66.87 | (148) pred(n8) = all_4_55
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (18), (144) imply:
% 261.31/66.87 | (149) succ(n8) = all_4_54
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (2), (146) imply:
% 261.31/66.87 | (150) succ(n8) = all_4_51
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with n9, all_4_51, n8, simplifying with (57),
% 261.31/66.87 | (150) gives:
% 261.31/66.87 | (151) all_4_51 = n9
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with all_4_54, all_4_51, n8, simplifying with
% 261.31/66.87 | (149), (150) gives:
% 261.31/66.87 | (152) all_4_51 = all_4_54
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with n7, all_4_52, n8, simplifying with (20),
% 261.31/66.87 | (147) gives:
% 261.31/66.87 | (153) all_4_52 = n7
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with all_4_55, all_4_52, n8, simplifying with
% 261.31/66.87 | (147), (148) gives:
% 261.31/66.87 | (154) all_4_52 = all_4_55
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (151), (152) imply:
% 261.31/66.87 | (155) all_4_54 = n9
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (153), (154) imply:
% 261.31/66.87 | (156) all_4_55 = n7
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (156) implies:
% 261.31/66.87 | (157) all_4_55 = n7
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (82), (151), (153) imply:
% 261.31/66.87 | (158) sum(n7, n9) = all_4_50
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (11), (153), (155) imply:
% 261.31/66.87 | (159) sum(n7, n9) = all_4_48
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (44), (151), (157) imply:
% 261.31/66.87 | (160) sum(n7, n9) = all_4_49
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (14), (155), (157) imply:
% 261.31/66.87 | (161) sum(n7, n9) = all_4_53
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n5, all_4_49, n9, n7, simplifying with
% 261.31/66.87 | (66), (160) gives:
% 261.31/66.87 | (162) all_4_49 = n5
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_50, all_4_49, n9, n7, simplifying
% 261.31/66.87 | with (158), (160) gives:
% 261.31/66.87 | (163) all_4_49 = all_4_50
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_49, all_4_48, n9, n7, simplifying
% 261.31/66.87 | with (159), (160) gives:
% 261.31/66.87 | (164) all_4_48 = all_4_49
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_53, all_4_48, n9, n7, simplifying
% 261.31/66.87 | with (159), (161) gives:
% 261.31/66.87 | (165) all_4_48 = all_4_53
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (164), (165) imply:
% 261.31/66.87 | (166) all_4_49 = all_4_53
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (166) implies:
% 261.31/66.87 | (167) all_4_49 = all_4_53
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (162), (163) imply:
% 261.31/66.87 | (168) all_4_50 = n5
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (163), (167) imply:
% 261.31/66.87 | (169) all_4_50 = all_4_53
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (168), (169) imply:
% 261.31/66.87 | (170) all_4_53 = n5
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (165), (170) imply:
% 261.31/66.87 | (171) all_4_48 = n5
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (76), (162), (171) imply:
% 261.31/66.87 | (172) sum(n5, n5) = all_4_92
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (83), (168), (170) imply:
% 261.31/66.87 | (173) sum(n5, n5) = all_4_93
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n10, all_4_92, n5, n5, simplifying with
% 261.31/66.87 | (52), (172) gives:
% 261.31/66.87 | (174) all_4_92 = n10
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_93, all_4_92, n5, n5, simplifying
% 261.31/66.87 | with (172), (173) gives:
% 261.31/66.87 | (175) all_4_92 = all_4_93
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.87 | (176) all_4_93 = n10
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (176) implies:
% 261.31/66.87 | (177) all_4_93 = n10
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (33), (174) imply:
% 261.31/66.87 | (178) pred(n10) = all_4_44
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (49), (177) imply:
% 261.31/66.87 | (179) pred(n10) = all_4_47
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (5), (174) imply:
% 261.31/66.87 | (180) succ(n10) = all_4_46
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (84), (177) imply:
% 261.31/66.87 | (181) succ(n10) = all_4_43
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with n0, all_4_43, n10, simplifying with (36),
% 261.31/66.87 | (181) gives:
% 261.31/66.87 | (182) all_4_43 = n0
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (37) with all_4_46, all_4_43, n10, simplifying with
% 261.31/66.87 | (180), (181) gives:
% 261.31/66.87 | (183) all_4_43 = all_4_46
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with n9, all_4_44, n10, simplifying with (64),
% 261.31/66.87 | (178) gives:
% 261.31/66.87 | (184) all_4_44 = n9
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (80) with all_4_47, all_4_44, n10, simplifying with
% 261.31/66.87 | (178), (179) gives:
% 261.31/66.87 | (185) all_4_44 = all_4_47
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (182), (183) imply:
% 261.31/66.87 | (186) all_4_46 = n0
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.87 | (187) all_4_47 = n9
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (63), (182), (184) imply:
% 261.31/66.87 | (188) sum(n9, n0) = all_4_42
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (8), (184), (186) imply:
% 261.31/66.87 | (189) sum(n9, n0) = all_4_40
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (29), (182), (187) imply:
% 261.31/66.87 | (190) sum(n9, n0) = all_4_41
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (48), (186), (187) imply:
% 261.31/66.87 | (191) sum(n9, n0) = all_4_45
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n9, all_4_41, n0, n9, simplifying with
% 261.31/66.87 | (10), (190) gives:
% 261.31/66.87 | (192) all_4_41 = n9
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_42, all_4_41, n0, n9, simplifying
% 261.31/66.87 | with (188), (190) gives:
% 261.31/66.87 | (193) all_4_41 = all_4_42
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_41, all_4_40, n0, n9, simplifying
% 261.31/66.87 | with (189), (190) gives:
% 261.31/66.87 | (194) all_4_40 = all_4_41
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_45, all_4_40, n0, n9, simplifying
% 261.31/66.87 | with (189), (191) gives:
% 261.31/66.87 | (195) all_4_40 = all_4_45
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.87 | (196) all_4_41 = all_4_45
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (196) implies:
% 261.31/66.87 | (197) all_4_41 = all_4_45
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.87 | (198) all_4_42 = n9
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (193), (197) imply:
% 261.31/66.87 | (199) all_4_42 = all_4_45
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (198), (199) imply:
% 261.31/66.87 | (200) all_4_45 = n9
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (200) implies:
% 261.31/66.87 | (201) all_4_45 = n9
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (195), (201) imply:
% 261.31/66.87 | (202) all_4_40 = n9
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (53), (192), (202) imply:
% 261.31/66.87 | (203) sum(n9, n9) = all_4_90
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (60), (198), (201) imply:
% 261.31/66.87 | (204) sum(n9, n9) = all_4_91
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with n7, all_4_90, n9, n9, simplifying with
% 261.31/66.87 | (61), (203) gives:
% 261.31/66.87 | (205) all_4_90 = n7
% 261.31/66.87 |
% 261.31/66.87 | GROUND_INST: instantiating (59) with all_4_91, all_4_90, n9, n9, simplifying
% 261.31/66.87 | with (203), (204) gives:
% 261.31/66.87 | (206) all_4_90 = all_4_91
% 261.31/66.87 |
% 261.31/66.87 | COMBINE_EQS: (205), (206) imply:
% 261.31/66.87 | (207) all_4_91 = n7
% 261.31/66.87 |
% 261.31/66.87 | SIMP: (207) implies:
% 261.31/66.87 | (208) all_4_91 = n7
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (70), (205) imply:
% 261.31/66.87 | (209) pred(n7) = all_4_36
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (31), (208) imply:
% 261.31/66.87 | (210) pred(n7) = all_4_39
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (22), (205) imply:
% 261.31/66.87 | (211) succ(n7) = all_4_38
% 261.31/66.87 |
% 261.31/66.87 | REDUCE: (4), (208) imply:
% 261.31/66.87 | (212) succ(n7) = all_4_35
% 261.31/66.87 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n8, all_4_35, n7, simplifying with (47),
% 261.31/66.88 | (212) gives:
% 261.31/66.88 | (213) all_4_35 = n8
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_38, all_4_35, n7, simplifying with
% 261.31/66.88 | (211), (212) gives:
% 261.31/66.88 | (214) all_4_35 = all_4_38
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n6, all_4_36, n7, simplifying with (45),
% 261.31/66.88 | (209) gives:
% 261.31/66.88 | (215) all_4_36 = n6
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_39, all_4_36, n7, simplifying with
% 261.31/66.88 | (209), (210) gives:
% 261.31/66.88 | (216) all_4_36 = all_4_39
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (213), (214) imply:
% 261.31/66.88 | (217) all_4_38 = n8
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.88 | (218) all_4_39 = n6
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (46), (213), (215) imply:
% 261.31/66.88 | (219) sum(n6, n8) = all_4_34
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (74), (215), (217) imply:
% 261.31/66.88 | (220) sum(n6, n8) = all_4_32
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (58), (213), (218) imply:
% 261.31/66.88 | (221) sum(n6, n8) = all_4_33
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (62), (217), (218) imply:
% 261.31/66.88 | (222) sum(n6, n8) = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with n3, all_4_33, n8, n6, simplifying with
% 261.31/66.88 | (23), (221) gives:
% 261.31/66.88 | (223) all_4_33 = n3
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_34, all_4_33, n8, n6, simplifying
% 261.31/66.88 | with (219), (221) gives:
% 261.31/66.88 | (224) all_4_33 = all_4_34
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_33, all_4_32, n8, n6, simplifying
% 261.31/66.88 | with (220), (221) gives:
% 261.31/66.88 | (225) all_4_32 = all_4_33
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_37, all_4_32, n8, n6, simplifying
% 261.31/66.88 | with (220), (222) gives:
% 261.31/66.88 | (226) all_4_32 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.88 | (227) all_4_33 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (227) implies:
% 261.31/66.88 | (228) all_4_33 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.88 | (229) all_4_34 = n3
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (224), (228) imply:
% 261.31/66.88 | (230) all_4_34 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (229), (230) imply:
% 261.31/66.88 | (231) all_4_37 = n3
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (226), (231) imply:
% 261.31/66.88 | (232) all_4_32 = n3
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (28), (223), (232) imply:
% 261.31/66.88 | (233) sum(n3, n3) = all_4_88
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (19), (229), (231) imply:
% 261.31/66.88 | (234) sum(n3, n3) = all_4_89
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with n6, all_4_88, n3, n3, simplifying with
% 261.31/66.88 | (91), (233) gives:
% 261.31/66.88 | (235) all_4_88 = n6
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_89, all_4_88, n3, n3, simplifying
% 261.31/66.88 | with (233), (234) gives:
% 261.31/66.88 | (236) all_4_88 = all_4_89
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.88 | (237) all_4_89 = n6
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (24), (235) imply:
% 261.31/66.88 | (238) pred(n6) = all_4_28
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (32), (237) imply:
% 261.31/66.88 | (239) pred(n6) = all_4_31
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (43), (235) imply:
% 261.31/66.88 | (240) succ(n6) = all_4_30
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (6), (237) imply:
% 261.31/66.88 | (241) succ(n6) = all_4_27
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n7, all_4_27, n6, simplifying with (56),
% 261.31/66.88 | (241) gives:
% 261.31/66.88 | (242) all_4_27 = n7
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_30, all_4_27, n6, simplifying with
% 261.31/66.88 | (240), (241) gives:
% 261.31/66.88 | (243) all_4_27 = all_4_30
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n5, all_4_28, n6, simplifying with (40),
% 261.31/66.88 | (238) gives:
% 261.31/66.88 | (244) all_4_28 = n5
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_31, all_4_28, n6, simplifying with
% 261.31/66.88 | (238), (239) gives:
% 261.31/66.88 | (245) all_4_28 = all_4_31
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (242), (243) imply:
% 261.31/66.88 | (246) all_4_30 = n7
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (244), (245) imply:
% 261.31/66.88 | (247) all_4_31 = n5
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (1), (242), (244) imply:
% 261.31/66.88 | (248) sum(n5, n7) = all_4_26
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (9), (244), (246) imply:
% 261.31/66.88 | (249) sum(n5, n7) = all_4_24
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (16), (242), (247) imply:
% 261.31/66.88 | (250) sum(n5, n7) = all_4_25
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (26), (246), (247) imply:
% 261.31/66.88 | (251) sum(n5, n7) = all_4_29
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with n1, all_4_25, n7, n5, simplifying with
% 261.31/66.88 | (34), (250) gives:
% 261.31/66.88 | (252) all_4_25 = n1
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_26, all_4_25, n7, n5, simplifying
% 261.31/66.88 | with (248), (250) gives:
% 261.31/66.88 | (253) all_4_25 = all_4_26
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_25, all_4_24, n7, n5, simplifying
% 261.31/66.88 | with (249), (250) gives:
% 261.31/66.88 | (254) all_4_24 = all_4_25
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_29, all_4_24, n7, n5, simplifying
% 261.31/66.88 | with (249), (251) gives:
% 261.31/66.88 | (255) all_4_24 = all_4_29
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (254), (255) imply:
% 261.31/66.88 | (256) all_4_25 = all_4_29
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (256) implies:
% 261.31/66.88 | (257) all_4_25 = all_4_29
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (252), (253) imply:
% 261.31/66.88 | (258) all_4_26 = n1
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (253), (257) imply:
% 261.31/66.88 | (259) all_4_26 = all_4_29
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (258), (259) imply:
% 261.31/66.88 | (260) all_4_29 = n1
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (255), (260) imply:
% 261.31/66.88 | (261) all_4_24 = n1
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (3), (252), (261) imply:
% 261.31/66.88 | (262) sum(n1, n1) = all_4_86
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (30), (258), (260) imply:
% 261.31/66.88 | (263) sum(n1, n1) = all_4_87
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with n2, all_4_86, n1, n1, simplifying with
% 261.31/66.88 | (81), (262) gives:
% 261.31/66.88 | (264) all_4_86 = n2
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (59) with all_4_87, all_4_86, n1, n1, simplifying
% 261.31/66.88 | with (262), (263) gives:
% 261.31/66.88 | (265) all_4_86 = all_4_87
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (264), (265) imply:
% 261.31/66.88 | (266) all_4_87 = n2
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (266) implies:
% 261.31/66.88 | (267) all_4_87 = n2
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (78), (264), (267) imply:
% 261.31/66.88 | (268) $false
% 261.31/66.88 |
% 261.31/66.88 | CLOSE: (268) is inconsistent.
% 261.31/66.88 |
% 261.31/66.88 End of proof
% 261.31/66.88
% 261.31/66.88 Sub-proof #152 shows that the following formulas are inconsistent:
% 261.31/66.88 ----------------------------------------------------------------
% 261.31/66.88 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.88 (2) succ(all_4_95) = all_4_51
% 261.31/66.88 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.88 (4) succ(all_4_91) = all_4_35
% 261.31/66.88 (5) succ(all_4_92) = all_4_46
% 261.31/66.88 (6) succ(all_4_89) = all_4_27
% 261.31/66.88 (7) pred(all_4_95) = all_4_55
% 261.31/66.88 (8) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.88 (9) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.88 (10) sum(n9, n0) = n9
% 261.31/66.88 (11) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.88 (12) sum(n3, n3) = n6
% 261.31/66.88 (13) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.88 (14) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.88 (15) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.88 (16) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.88 (17) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.88 (18) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.88 (19) succ(all_4_94) = all_4_54
% 261.31/66.88 (20) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.88 (21) pred(n8) = n7
% 261.31/66.88 (22) pred(all_4_99) = all_4_71
% 261.31/66.88 (23) succ(all_4_90) = all_4_38
% 261.31/66.88 (24) sum(n6, n8) = n3
% 261.31/66.88 (25) pred(all_4_88) = all_4_28
% 261.31/66.88 (26) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.88 (27) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.88 (28) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.88 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.88 (30) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.88 (31) pred(all_4_91) = all_4_39
% 261.31/66.88 (32) pred(all_4_89) = all_4_31
% 261.31/66.88 (33) pred(all_4_92) = all_4_44
% 261.31/66.88 (34) sum(n5, n7) = n1
% 261.31/66.88 (35) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.88 (36) succ(n10) = n0
% 261.31/66.88 (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.88 | ~ (succ(v2) = v0))
% 261.31/66.88 (38) pred(all_4_97) = all_4_63
% 261.31/66.88 (39) succ(all_4_99) = all_4_67
% 261.31/66.88 (40) pred(n6) = n5
% 261.31/66.88 (41) pred(all_4_96) = all_4_60
% 261.31/66.88 (42) succ(all_4_96) = all_4_62
% 261.31/66.88 (43) succ(all_4_88) = all_4_30
% 261.31/66.88 (44) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.88 (45) pred(n7) = n6
% 261.31/66.88 (46) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.88 (47) succ(n7) = n8
% 261.31/66.88 (48) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.88 (49) pred(all_4_93) = all_4_47
% 261.31/66.88 (50) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.88 (51) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.88 (52) sum(n5, n5) = n10
% 261.31/66.88 (53) all_4_99 = n8
% 261.31/66.88 (54) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.88 (55) succ(n2) = n3
% 261.31/66.88 (56) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.88 (57) succ(n6) = n7
% 261.31/66.88 (58) succ(n8) = n9
% 261.31/66.88 (59) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.88 (60) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.88 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.88 (61) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.88 (62) sum(n9, n9) = n7
% 261.31/66.88 (63) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.88 (64) sum(n4, n4) = all_4_99
% 261.31/66.88 (65) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.88 (66) pred(n10) = n9
% 261.31/66.88 (67) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.88 (68) sum(n7, n9) = n5
% 261.31/66.88 (69) pred(n2) = n1
% 261.31/66.88 (70) succ(all_4_98) = all_4_70
% 261.31/66.88 (71) all_4_98 = n8
% 261.31/66.88 (72) pred(all_4_90) = all_4_36
% 261.31/66.88 (73) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.88 (74) succ(all_4_97) = all_4_59
% 261.31/66.88 (75) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.88 (76) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.88 (77) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.88 (78) ~ (all_4_86 = all_4_87)
% 261.31/66.88 (79) sum(n1, n3) = n4
% 261.31/66.88 (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.88 | ~ (pred(v2) = v0))
% 261.31/66.88 (81) sum(n1, n1) = n2
% 261.31/66.88 (82) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.88 (83) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.88 (84) succ(all_4_93) = all_4_43
% 261.31/66.88 (85) pred(all_4_98) = all_4_68
% 261.31/66.88 (86) pred(all_4_94) = all_4_52
% 261.31/66.88
% 261.31/66.88 Begin of proof
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (71), (85) imply:
% 261.31/66.88 | (87) pred(n8) = all_4_68
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (22), (53) imply:
% 261.31/66.88 | (88) pred(n8) = all_4_71
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (70), (71) imply:
% 261.31/66.88 | (89) succ(n8) = all_4_70
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (39), (53) imply:
% 261.31/66.88 | (90) succ(n8) = all_4_67
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (53), (64) imply:
% 261.31/66.88 | (91) sum(n4, n4) = n8
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n9, all_4_67, n8, simplifying with (58),
% 261.31/66.88 | (90) gives:
% 261.31/66.88 | (92) all_4_67 = n9
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_70, all_4_67, n8, simplifying with
% 261.31/66.88 | (89), (90) gives:
% 261.31/66.88 | (93) all_4_67 = all_4_70
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n7, all_4_68, n8, simplifying with (21),
% 261.31/66.88 | (87) gives:
% 261.31/66.88 | (94) all_4_68 = n7
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_71, all_4_68, n8, simplifying with
% 261.31/66.88 | (87), (88) gives:
% 261.31/66.88 | (95) all_4_68 = all_4_71
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (92), (93) imply:
% 261.31/66.88 | (96) all_4_70 = n9
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (94), (95) imply:
% 261.31/66.88 | (97) all_4_71 = n7
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (56), (92), (94) imply:
% 261.31/66.88 | (98) sum(n7, n9) = all_4_66
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (73), (94), (96) imply:
% 261.31/66.88 | (99) sum(n7, n9) = all_4_64
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (50), (92), (97) imply:
% 261.31/66.88 | (100) sum(n7, n9) = all_4_65
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (14), (96), (97) imply:
% 261.31/66.88 | (101) sum(n7, n9) = all_4_69
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n5, all_4_65, n9, n7, simplifying with
% 261.31/66.88 | (68), (100) gives:
% 261.31/66.88 | (102) all_4_65 = n5
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_66, all_4_65, n9, n7, simplifying
% 261.31/66.88 | with (98), (100) gives:
% 261.31/66.88 | (103) all_4_65 = all_4_66
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_66, all_4_64, n9, n7, simplifying
% 261.31/66.88 | with (98), (99) gives:
% 261.31/66.88 | (104) all_4_64 = all_4_66
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_69, all_4_64, n9, n7, simplifying
% 261.31/66.88 | with (99), (101) gives:
% 261.31/66.88 | (105) all_4_64 = all_4_69
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.88 | (106) all_4_66 = all_4_69
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (106) implies:
% 261.31/66.88 | (107) all_4_66 = all_4_69
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.88 | (108) all_4_66 = n5
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (108) implies:
% 261.31/66.88 | (109) all_4_66 = n5
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (107), (109) imply:
% 261.31/66.88 | (110) all_4_69 = n5
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (105), (110) imply:
% 261.31/66.88 | (111) all_4_64 = n5
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (35), (102), (111) imply:
% 261.31/66.88 | (112) sum(n5, n5) = all_4_96
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (67), (109), (110) imply:
% 261.31/66.88 | (113) sum(n5, n5) = all_4_97
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n10, all_4_96, n5, n5, simplifying with
% 261.31/66.88 | (52), (112) gives:
% 261.31/66.88 | (114) all_4_96 = n10
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_97, all_4_96, n5, n5, simplifying
% 261.31/66.88 | with (112), (113) gives:
% 261.31/66.88 | (115) all_4_96 = all_4_97
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.88 | (116) all_4_97 = n10
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (116) implies:
% 261.31/66.88 | (117) all_4_97 = n10
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (41), (114) imply:
% 261.31/66.88 | (118) pred(n10) = all_4_60
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (38), (117) imply:
% 261.31/66.88 | (119) pred(n10) = all_4_63
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (42), (114) imply:
% 261.31/66.88 | (120) succ(n10) = all_4_62
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (74), (117) imply:
% 261.31/66.88 | (121) succ(n10) = all_4_59
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n0, all_4_59, n10, simplifying with (36),
% 261.31/66.88 | (121) gives:
% 261.31/66.88 | (122) all_4_59 = n0
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_62, all_4_59, n10, simplifying with
% 261.31/66.88 | (120), (121) gives:
% 261.31/66.88 | (123) all_4_59 = all_4_62
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n9, all_4_60, n10, simplifying with (66),
% 261.31/66.88 | (118) gives:
% 261.31/66.88 | (124) all_4_60 = n9
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_63, all_4_60, n10, simplifying with
% 261.31/66.88 | (118), (119) gives:
% 261.31/66.88 | (125) all_4_60 = all_4_63
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (122), (123) imply:
% 261.31/66.88 | (126) all_4_62 = n0
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.88 | (127) all_4_63 = n9
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (51), (122), (124) imply:
% 261.31/66.88 | (128) sum(n9, n0) = all_4_58
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (13), (124), (126) imply:
% 261.31/66.88 | (129) sum(n9, n0) = all_4_56
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (16), (122), (127) imply:
% 261.31/66.88 | (130) sum(n9, n0) = all_4_57
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (18), (126), (127) imply:
% 261.31/66.88 | (131) sum(n9, n0) = all_4_61
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n9, all_4_57, n0, n9, simplifying with
% 261.31/66.88 | (10), (130) gives:
% 261.31/66.88 | (132) all_4_57 = n9
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_58, all_4_57, n0, n9, simplifying
% 261.31/66.88 | with (128), (130) gives:
% 261.31/66.88 | (133) all_4_57 = all_4_58
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_57, all_4_56, n0, n9, simplifying
% 261.31/66.88 | with (129), (130) gives:
% 261.31/66.88 | (134) all_4_56 = all_4_57
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_61, all_4_56, n0, n9, simplifying
% 261.31/66.88 | with (129), (131) gives:
% 261.31/66.88 | (135) all_4_56 = all_4_61
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.88 | (136) all_4_57 = all_4_61
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (136) implies:
% 261.31/66.88 | (137) all_4_57 = all_4_61
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.88 | (138) all_4_58 = n9
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (133), (137) imply:
% 261.31/66.88 | (139) all_4_58 = all_4_61
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (138), (139) imply:
% 261.31/66.88 | (140) all_4_61 = n9
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (135), (140) imply:
% 261.31/66.88 | (141) all_4_56 = n9
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (27), (132), (141) imply:
% 261.31/66.88 | (142) sum(n9, n9) = all_4_94
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (76), (138), (140) imply:
% 261.31/66.88 | (143) sum(n9, n9) = all_4_95
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n7, all_4_94, n9, n9, simplifying with
% 261.31/66.88 | (62), (142) gives:
% 261.31/66.88 | (144) all_4_94 = n7
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_95, all_4_94, n9, n9, simplifying
% 261.31/66.88 | with (142), (143) gives:
% 261.31/66.88 | (145) all_4_94 = all_4_95
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.88 | (146) all_4_95 = n7
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (86), (144) imply:
% 261.31/66.88 | (147) pred(n7) = all_4_52
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (7), (146) imply:
% 261.31/66.88 | (148) pred(n7) = all_4_55
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (19), (144) imply:
% 261.31/66.88 | (149) succ(n7) = all_4_54
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (2), (146) imply:
% 261.31/66.88 | (150) succ(n7) = all_4_51
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n8, all_4_51, n7, simplifying with (47),
% 261.31/66.88 | (150) gives:
% 261.31/66.88 | (151) all_4_51 = n8
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_54, all_4_51, n7, simplifying with
% 261.31/66.88 | (149), (150) gives:
% 261.31/66.88 | (152) all_4_51 = all_4_54
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n6, all_4_52, n7, simplifying with (45),
% 261.31/66.88 | (147) gives:
% 261.31/66.88 | (153) all_4_52 = n6
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_55, all_4_52, n7, simplifying with
% 261.31/66.88 | (147), (148) gives:
% 261.31/66.88 | (154) all_4_52 = all_4_55
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (151), (152) imply:
% 261.31/66.88 | (155) all_4_54 = n8
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (153), (154) imply:
% 261.31/66.88 | (156) all_4_55 = n6
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (156) implies:
% 261.31/66.88 | (157) all_4_55 = n6
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (82), (151), (153) imply:
% 261.31/66.88 | (158) sum(n6, n8) = all_4_50
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (11), (153), (155) imply:
% 261.31/66.88 | (159) sum(n6, n8) = all_4_48
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (44), (151), (157) imply:
% 261.31/66.88 | (160) sum(n6, n8) = all_4_49
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (15), (155), (157) imply:
% 261.31/66.88 | (161) sum(n6, n8) = all_4_53
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n3, all_4_49, n8, n6, simplifying with
% 261.31/66.88 | (24), (160) gives:
% 261.31/66.88 | (162) all_4_49 = n3
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_50, all_4_49, n8, n6, simplifying
% 261.31/66.88 | with (158), (160) gives:
% 261.31/66.88 | (163) all_4_49 = all_4_50
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_49, all_4_48, n8, n6, simplifying
% 261.31/66.88 | with (159), (160) gives:
% 261.31/66.88 | (164) all_4_48 = all_4_49
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_53, all_4_48, n8, n6, simplifying
% 261.31/66.88 | with (159), (161) gives:
% 261.31/66.88 | (165) all_4_48 = all_4_53
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (164), (165) imply:
% 261.31/66.88 | (166) all_4_49 = all_4_53
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (166) implies:
% 261.31/66.88 | (167) all_4_49 = all_4_53
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (162), (163) imply:
% 261.31/66.88 | (168) all_4_50 = n3
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (163), (167) imply:
% 261.31/66.88 | (169) all_4_50 = all_4_53
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (168), (169) imply:
% 261.31/66.88 | (170) all_4_53 = n3
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (165), (170) imply:
% 261.31/66.88 | (171) all_4_48 = n3
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (77), (162), (171) imply:
% 261.31/66.88 | (172) sum(n3, n3) = all_4_92
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (83), (168), (170) imply:
% 261.31/66.88 | (173) sum(n3, n3) = all_4_93
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n6, all_4_92, n3, n3, simplifying with
% 261.31/66.88 | (12), (172) gives:
% 261.31/66.88 | (174) all_4_92 = n6
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_93, all_4_92, n3, n3, simplifying
% 261.31/66.88 | with (172), (173) gives:
% 261.31/66.88 | (175) all_4_92 = all_4_93
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.88 | (176) all_4_93 = n6
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (176) implies:
% 261.31/66.88 | (177) all_4_93 = n6
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (33), (174) imply:
% 261.31/66.88 | (178) pred(n6) = all_4_44
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (49), (177) imply:
% 261.31/66.88 | (179) pred(n6) = all_4_47
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (5), (174) imply:
% 261.31/66.88 | (180) succ(n6) = all_4_46
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (84), (177) imply:
% 261.31/66.88 | (181) succ(n6) = all_4_43
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n7, all_4_43, n6, simplifying with (57),
% 261.31/66.88 | (181) gives:
% 261.31/66.88 | (182) all_4_43 = n7
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_46, all_4_43, n6, simplifying with
% 261.31/66.88 | (180), (181) gives:
% 261.31/66.88 | (183) all_4_43 = all_4_46
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n5, all_4_44, n6, simplifying with (40),
% 261.31/66.88 | (178) gives:
% 261.31/66.88 | (184) all_4_44 = n5
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_47, all_4_44, n6, simplifying with
% 261.31/66.88 | (178), (179) gives:
% 261.31/66.88 | (185) all_4_44 = all_4_47
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (182), (183) imply:
% 261.31/66.88 | (186) all_4_46 = n7
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.88 | (187) all_4_47 = n5
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (65), (182), (184) imply:
% 261.31/66.88 | (188) sum(n5, n7) = all_4_42
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (8), (184), (186) imply:
% 261.31/66.88 | (189) sum(n5, n7) = all_4_40
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (29), (182), (187) imply:
% 261.31/66.88 | (190) sum(n5, n7) = all_4_41
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (48), (186), (187) imply:
% 261.31/66.88 | (191) sum(n5, n7) = all_4_45
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n1, all_4_41, n7, n5, simplifying with
% 261.31/66.88 | (34), (190) gives:
% 261.31/66.88 | (192) all_4_41 = n1
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_42, all_4_41, n7, n5, simplifying
% 261.31/66.88 | with (188), (190) gives:
% 261.31/66.88 | (193) all_4_41 = all_4_42
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_41, all_4_40, n7, n5, simplifying
% 261.31/66.88 | with (189), (190) gives:
% 261.31/66.88 | (194) all_4_40 = all_4_41
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_45, all_4_40, n7, n5, simplifying
% 261.31/66.88 | with (189), (191) gives:
% 261.31/66.88 | (195) all_4_40 = all_4_45
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.88 | (196) all_4_41 = all_4_45
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (196) implies:
% 261.31/66.88 | (197) all_4_41 = all_4_45
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.88 | (198) all_4_42 = n1
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (193), (197) imply:
% 261.31/66.88 | (199) all_4_42 = all_4_45
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (198), (199) imply:
% 261.31/66.88 | (200) all_4_45 = n1
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (200) implies:
% 261.31/66.88 | (201) all_4_45 = n1
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (195), (201) imply:
% 261.31/66.88 | (202) all_4_40 = n1
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (54), (192), (202) imply:
% 261.31/66.88 | (203) sum(n1, n1) = all_4_90
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (61), (198), (201) imply:
% 261.31/66.88 | (204) sum(n1, n1) = all_4_91
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n2, all_4_90, n1, n1, simplifying with
% 261.31/66.88 | (81), (203) gives:
% 261.31/66.88 | (205) all_4_90 = n2
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_91, all_4_90, n1, n1, simplifying
% 261.31/66.88 | with (203), (204) gives:
% 261.31/66.88 | (206) all_4_90 = all_4_91
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (205), (206) imply:
% 261.31/66.88 | (207) all_4_91 = n2
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (207) implies:
% 261.31/66.88 | (208) all_4_91 = n2
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (72), (205) imply:
% 261.31/66.88 | (209) pred(n2) = all_4_36
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (31), (208) imply:
% 261.31/66.88 | (210) pred(n2) = all_4_39
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (23), (205) imply:
% 261.31/66.88 | (211) succ(n2) = all_4_38
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (4), (208) imply:
% 261.31/66.88 | (212) succ(n2) = all_4_35
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with n3, all_4_35, n2, simplifying with (55),
% 261.31/66.88 | (212) gives:
% 261.31/66.88 | (213) all_4_35 = n3
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (37) with all_4_38, all_4_35, n2, simplifying with
% 261.31/66.88 | (211), (212) gives:
% 261.31/66.88 | (214) all_4_35 = all_4_38
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with n1, all_4_36, n2, simplifying with (69),
% 261.31/66.88 | (209) gives:
% 261.31/66.88 | (215) all_4_36 = n1
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (80) with all_4_39, all_4_36, n2, simplifying with
% 261.31/66.88 | (209), (210) gives:
% 261.31/66.88 | (216) all_4_36 = all_4_39
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (213), (214) imply:
% 261.31/66.88 | (217) all_4_38 = n3
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.88 | (218) all_4_39 = n1
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (46), (213), (215) imply:
% 261.31/66.88 | (219) sum(n1, n3) = all_4_34
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (75), (215), (217) imply:
% 261.31/66.88 | (220) sum(n1, n3) = all_4_32
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (59), (213), (218) imply:
% 261.31/66.88 | (221) sum(n1, n3) = all_4_33
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (63), (217), (218) imply:
% 261.31/66.88 | (222) sum(n1, n3) = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n4, all_4_33, n3, n1, simplifying with
% 261.31/66.88 | (79), (221) gives:
% 261.31/66.88 | (223) all_4_33 = n4
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_34, all_4_33, n3, n1, simplifying
% 261.31/66.88 | with (219), (221) gives:
% 261.31/66.88 | (224) all_4_33 = all_4_34
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_33, all_4_32, n3, n1, simplifying
% 261.31/66.88 | with (220), (221) gives:
% 261.31/66.88 | (225) all_4_32 = all_4_33
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with all_4_37, all_4_32, n3, n1, simplifying
% 261.31/66.88 | with (220), (222) gives:
% 261.31/66.88 | (226) all_4_32 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.88 | (227) all_4_33 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | SIMP: (227) implies:
% 261.31/66.88 | (228) all_4_33 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.88 | (229) all_4_34 = n4
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (224), (228) imply:
% 261.31/66.88 | (230) all_4_34 = all_4_37
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (229), (230) imply:
% 261.31/66.88 | (231) all_4_37 = n4
% 261.31/66.88 |
% 261.31/66.88 | COMBINE_EQS: (226), (231) imply:
% 261.31/66.88 | (232) all_4_32 = n4
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (28), (223), (232) imply:
% 261.31/66.88 | (233) sum(n4, n4) = all_4_88
% 261.31/66.88 |
% 261.31/66.88 | REDUCE: (20), (229), (231) imply:
% 261.31/66.88 | (234) sum(n4, n4) = all_4_89
% 261.31/66.88 |
% 261.31/66.88 | GROUND_INST: instantiating (60) with n8, all_4_88, n4, n4, simplifying with
% 261.31/66.88 | (91), (233) gives:
% 261.31/66.88 | (235) all_4_88 = n8
% 261.31/66.88 |
% 261.31/66.89 | GROUND_INST: instantiating (60) with all_4_89, all_4_88, n4, n4, simplifying
% 261.31/66.89 | with (233), (234) gives:
% 261.31/66.89 | (236) all_4_88 = all_4_89
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.89 | (237) all_4_89 = n8
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (25), (235) imply:
% 261.31/66.89 | (238) pred(n8) = all_4_28
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (32), (237) imply:
% 261.31/66.89 | (239) pred(n8) = all_4_31
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (43), (235) imply:
% 261.31/66.89 | (240) succ(n8) = all_4_30
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (6), (237) imply:
% 261.31/66.89 | (241) succ(n8) = all_4_27
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (37) with n9, all_4_27, n8, simplifying with (58),
% 261.31/66.89 | (241) gives:
% 261.31/66.89 | (242) all_4_27 = n9
% 261.31/66.89 |
% 261.31/66.89 | REF_CLOSE: (1), (3), (9), (17), (21), (26), (30), (37), (52), (60), (68),
% 261.31/66.89 | (78), (80), (238), (239), (240), (241), (242) are inconsistent by
% 261.31/66.89 | sub-proof #153.
% 261.31/66.89 |
% 261.31/66.89 End of proof
% 261.31/66.89
% 261.31/66.89 Sub-proof #153 shows that the following formulas are inconsistent:
% 261.31/66.89 ----------------------------------------------------------------
% 261.31/66.89 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.89 (2) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.89 (3) succ(n8) = all_4_27
% 261.31/66.89 (4) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.89 (5) all_4_27 = n9
% 261.31/66.89 (6) pred(n8) = all_4_31
% 261.31/66.89 (7) succ(n8) = all_4_30
% 261.31/66.89 (8) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.89 (9) pred(n8) = n7
% 261.31/66.89 (10) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.89 (11) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.89 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.89 | ~ (succ(v2) = v0))
% 261.31/66.89 (13) sum(n5, n5) = n10
% 261.31/66.89 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.89 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.89 (15) pred(n8) = all_4_28
% 261.31/66.89 (16) sum(n7, n9) = n5
% 261.31/66.89 (17) ~ (all_4_86 = all_4_87)
% 261.31/66.89 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.89 | ~ (pred(v2) = v0))
% 261.31/66.89
% 261.31/66.89 Begin of proof
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (12) with all_4_30, all_4_27, n8, simplifying with
% 261.31/66.89 | (3), (7) gives:
% 261.31/66.89 | (19) all_4_27 = all_4_30
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (18) with n7, all_4_28, n8, simplifying with (9),
% 261.31/66.89 | (15) gives:
% 261.31/66.89 | (20) all_4_28 = n7
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (18) with all_4_31, all_4_28, n8, simplifying with
% 261.31/66.89 | (6), (15) gives:
% 261.31/66.89 | (21) all_4_28 = all_4_31
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (5), (19) imply:
% 261.31/66.89 | (22) all_4_30 = n9
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (20), (21) imply:
% 261.31/66.89 | (23) all_4_31 = n7
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (1), (5), (20) imply:
% 261.31/66.89 | (24) sum(n7, n9) = all_4_26
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (4), (20), (22) imply:
% 261.31/66.89 | (25) sum(n7, n9) = all_4_24
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (5), (8), (23) imply:
% 261.31/66.89 | (26) sum(n7, n9) = all_4_25
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (10), (22), (23) imply:
% 261.31/66.89 | (27) sum(n7, n9) = all_4_29
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (14) with n5, all_4_25, n9, n7, simplifying with
% 261.31/66.89 | (16), (26) gives:
% 261.31/66.89 | (28) all_4_25 = n5
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (14) with all_4_26, all_4_25, n9, n7, simplifying
% 261.31/66.89 | with (24), (26) gives:
% 261.31/66.89 | (29) all_4_25 = all_4_26
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (14) with all_4_25, all_4_24, n9, n7, simplifying
% 261.31/66.89 | with (25), (26) gives:
% 261.31/66.89 | (30) all_4_24 = all_4_25
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (14) with all_4_29, all_4_24, n9, n7, simplifying
% 261.31/66.89 | with (25), (27) gives:
% 261.31/66.89 | (31) all_4_24 = all_4_29
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (30), (31) imply:
% 261.31/66.89 | (32) all_4_25 = all_4_29
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (32) implies:
% 261.31/66.89 | (33) all_4_25 = all_4_29
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (28), (29) imply:
% 261.31/66.89 | (34) all_4_26 = n5
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (29), (33) imply:
% 261.31/66.89 | (35) all_4_26 = all_4_29
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (34), (35) imply:
% 261.31/66.89 | (36) all_4_29 = n5
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (31), (36) imply:
% 261.31/66.89 | (37) all_4_24 = n5
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (2), (28), (37) imply:
% 261.31/66.89 | (38) sum(n5, n5) = all_4_86
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (11), (34), (36) imply:
% 261.31/66.89 | (39) sum(n5, n5) = all_4_87
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (14) with n10, all_4_86, n5, n5, simplifying with
% 261.31/66.89 | (13), (38) gives:
% 261.31/66.89 | (40) all_4_86 = n10
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (14) with all_4_87, all_4_86, n5, n5, simplifying
% 261.31/66.89 | with (38), (39) gives:
% 261.31/66.89 | (41) all_4_86 = all_4_87
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (40), (41) imply:
% 261.31/66.89 | (42) all_4_87 = n10
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (42) implies:
% 261.31/66.89 | (43) all_4_87 = n10
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (17), (40), (43) imply:
% 261.31/66.89 | (44) $false
% 261.31/66.89 |
% 261.31/66.89 | CLOSE: (44) is inconsistent.
% 261.31/66.89 |
% 261.31/66.89 End of proof
% 261.31/66.89
% 261.31/66.89 Sub-proof #154 shows that the following formulas are inconsistent:
% 261.31/66.89 ----------------------------------------------------------------
% 261.31/66.89 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.89 (2) succ(all_4_95) = all_4_51
% 261.31/66.89 (3) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.89 (4) succ(all_4_91) = all_4_35
% 261.31/66.89 (5) succ(all_4_92) = all_4_46
% 261.31/66.89 (6) succ(all_4_89) = all_4_27
% 261.31/66.89 (7) pred(all_4_95) = all_4_55
% 261.31/66.89 (8) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.89 (9) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.89 (10) sum(n9, n0) = n9
% 261.31/66.89 (11) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.89 (12) sum(n3, n3) = n6
% 261.31/66.89 (13) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.89 (14) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.89 (15) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.89 (16) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.89 (17) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.89 (18) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.89 (19) succ(all_4_94) = all_4_54
% 261.31/66.89 (20) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.89 (21) pred(n8) = n7
% 261.31/66.89 (22) pred(all_4_99) = all_4_71
% 261.31/66.89 (23) succ(all_4_90) = all_4_38
% 261.31/66.89 (24) sum(n6, n8) = n3
% 261.31/66.89 (25) pred(all_4_88) = all_4_28
% 261.31/66.89 (26) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.89 (27) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.89 (28) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.89 (29) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.89 (30) all_4_99 = n10
% 261.31/66.89 (31) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.89 (32) pred(all_4_91) = all_4_39
% 261.31/66.89 (33) pred(all_4_89) = all_4_31
% 261.31/66.89 (34) pred(all_4_92) = all_4_44
% 261.31/66.89 (35) sum(n5, n7) = n1
% 261.31/66.89 (36) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.89 (37) succ(n10) = n0
% 261.31/66.89 (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.89 | ~ (succ(v2) = v0))
% 261.31/66.89 (39) pred(all_4_97) = all_4_63
% 261.31/66.89 (40) succ(all_4_99) = all_4_67
% 261.31/66.89 (41) pred(n6) = n5
% 261.31/66.89 (42) pred(all_4_96) = all_4_60
% 261.31/66.89 (43) succ(all_4_96) = all_4_62
% 261.31/66.89 (44) succ(all_4_88) = all_4_30
% 261.31/66.89 (45) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.89 (46) pred(n7) = n6
% 261.31/66.89 (47) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.89 (48) succ(n7) = n8
% 261.31/66.89 (49) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.89 (50) pred(all_4_93) = all_4_47
% 261.31/66.89 (51) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.89 (52) sum(n5, n5) = all_4_99
% 261.31/66.89 (53) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.89 (54) all_4_98 = n10
% 261.31/66.89 (55) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.89 (56) succ(n2) = n3
% 261.31/66.89 (57) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.89 (58) succ(n6) = n7
% 261.31/66.89 (59) succ(n8) = n9
% 261.31/66.89 (60) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.89 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.89 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.89 (62) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.89 (63) sum(n9, n9) = n7
% 261.31/66.89 (64) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.89 (65) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.89 (66) pred(n10) = n9
% 261.31/66.89 (67) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.89 (68) sum(n7, n9) = n5
% 261.31/66.89 (69) pred(n2) = n1
% 261.31/66.89 (70) succ(all_4_98) = all_4_70
% 261.31/66.89 (71) pred(all_4_90) = all_4_36
% 261.31/66.89 (72) sum(n4, n4) = n8
% 261.31/66.89 (73) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.89 (74) succ(all_4_97) = all_4_59
% 261.31/66.89 (75) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.89 (76) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.89 (77) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.89 (78) ~ (all_4_86 = all_4_87)
% 261.31/66.89 (79) sum(n1, n3) = n4
% 261.31/66.89 (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.89 | ~ (pred(v2) = v0))
% 261.31/66.89 (81) sum(n1, n1) = n2
% 261.31/66.89 (82) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.89 (83) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.89 (84) succ(all_4_93) = all_4_43
% 261.31/66.89 (85) pred(all_4_98) = all_4_68
% 261.31/66.89 (86) pred(all_4_94) = all_4_52
% 261.31/66.89
% 261.31/66.89 Begin of proof
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (54), (85) imply:
% 261.31/66.89 | (87) pred(n10) = all_4_68
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (22), (30) imply:
% 261.31/66.89 | (88) pred(n10) = all_4_71
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (54), (70) imply:
% 261.31/66.89 | (89) succ(n10) = all_4_70
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (30), (40) imply:
% 261.31/66.89 | (90) succ(n10) = all_4_67
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (30), (52) imply:
% 261.31/66.89 | (91) sum(n5, n5) = n10
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with n0, all_4_67, n10, simplifying with (37),
% 261.31/66.89 | (90) gives:
% 261.31/66.89 | (92) all_4_67 = n0
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with all_4_70, all_4_67, n10, simplifying with
% 261.31/66.89 | (89), (90) gives:
% 261.31/66.89 | (93) all_4_67 = all_4_70
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with n9, all_4_68, n10, simplifying with (66),
% 261.31/66.89 | (87) gives:
% 261.31/66.89 | (94) all_4_68 = n9
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with all_4_71, all_4_68, n10, simplifying with
% 261.31/66.89 | (87), (88) gives:
% 261.31/66.89 | (95) all_4_68 = all_4_71
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (92), (93) imply:
% 261.31/66.89 | (96) all_4_70 = n0
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (94), (95) imply:
% 261.31/66.89 | (97) all_4_71 = n9
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (57), (92), (94) imply:
% 261.31/66.89 | (98) sum(n9, n0) = all_4_66
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (73), (94), (96) imply:
% 261.31/66.89 | (99) sum(n9, n0) = all_4_64
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (51), (92), (97) imply:
% 261.31/66.89 | (100) sum(n9, n0) = all_4_65
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (14), (96), (97) imply:
% 261.31/66.89 | (101) sum(n9, n0) = all_4_69
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n9, all_4_65, n0, n9, simplifying with
% 261.31/66.89 | (10), (100) gives:
% 261.31/66.89 | (102) all_4_65 = n9
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_66, all_4_65, n0, n9, simplifying
% 261.31/66.89 | with (98), (100) gives:
% 261.31/66.89 | (103) all_4_65 = all_4_66
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_66, all_4_64, n0, n9, simplifying
% 261.31/66.89 | with (98), (99) gives:
% 261.31/66.89 | (104) all_4_64 = all_4_66
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_69, all_4_64, n0, n9, simplifying
% 261.31/66.89 | with (99), (101) gives:
% 261.31/66.89 | (105) all_4_64 = all_4_69
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.89 | (106) all_4_66 = all_4_69
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (106) implies:
% 261.31/66.89 | (107) all_4_66 = all_4_69
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.89 | (108) all_4_66 = n9
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (108) implies:
% 261.31/66.89 | (109) all_4_66 = n9
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (107), (109) imply:
% 261.31/66.89 | (110) all_4_69 = n9
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (105), (110) imply:
% 261.31/66.89 | (111) all_4_64 = n9
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (36), (102), (111) imply:
% 261.31/66.89 | (112) sum(n9, n9) = all_4_96
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (67), (109), (110) imply:
% 261.31/66.89 | (113) sum(n9, n9) = all_4_97
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n7, all_4_96, n9, n9, simplifying with
% 261.31/66.89 | (63), (112) gives:
% 261.31/66.89 | (114) all_4_96 = n7
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_97, all_4_96, n9, n9, simplifying
% 261.31/66.89 | with (112), (113) gives:
% 261.31/66.89 | (115) all_4_96 = all_4_97
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.89 | (116) all_4_97 = n7
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (116) implies:
% 261.31/66.89 | (117) all_4_97 = n7
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (42), (114) imply:
% 261.31/66.89 | (118) pred(n7) = all_4_60
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (39), (117) imply:
% 261.31/66.89 | (119) pred(n7) = all_4_63
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (43), (114) imply:
% 261.31/66.89 | (120) succ(n7) = all_4_62
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (74), (117) imply:
% 261.31/66.89 | (121) succ(n7) = all_4_59
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with n8, all_4_59, n7, simplifying with (48),
% 261.31/66.89 | (121) gives:
% 261.31/66.89 | (122) all_4_59 = n8
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with all_4_62, all_4_59, n7, simplifying with
% 261.31/66.89 | (120), (121) gives:
% 261.31/66.89 | (123) all_4_59 = all_4_62
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with n6, all_4_60, n7, simplifying with (46),
% 261.31/66.89 | (118) gives:
% 261.31/66.89 | (124) all_4_60 = n6
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with all_4_63, all_4_60, n7, simplifying with
% 261.31/66.89 | (118), (119) gives:
% 261.31/66.89 | (125) all_4_60 = all_4_63
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (122), (123) imply:
% 261.31/66.89 | (126) all_4_62 = n8
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.89 | (127) all_4_63 = n6
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (53), (122), (124) imply:
% 261.31/66.89 | (128) sum(n6, n8) = all_4_58
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (13), (124), (126) imply:
% 261.31/66.89 | (129) sum(n6, n8) = all_4_56
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (16), (122), (127) imply:
% 261.31/66.89 | (130) sum(n6, n8) = all_4_57
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (18), (126), (127) imply:
% 261.31/66.89 | (131) sum(n6, n8) = all_4_61
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n3, all_4_57, n8, n6, simplifying with
% 261.31/66.89 | (24), (130) gives:
% 261.31/66.89 | (132) all_4_57 = n3
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_58, all_4_57, n8, n6, simplifying
% 261.31/66.89 | with (128), (130) gives:
% 261.31/66.89 | (133) all_4_57 = all_4_58
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_57, all_4_56, n8, n6, simplifying
% 261.31/66.89 | with (129), (130) gives:
% 261.31/66.89 | (134) all_4_56 = all_4_57
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_61, all_4_56, n8, n6, simplifying
% 261.31/66.89 | with (129), (131) gives:
% 261.31/66.89 | (135) all_4_56 = all_4_61
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.89 | (136) all_4_57 = all_4_61
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (136) implies:
% 261.31/66.89 | (137) all_4_57 = all_4_61
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.89 | (138) all_4_58 = n3
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (133), (137) imply:
% 261.31/66.89 | (139) all_4_58 = all_4_61
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (138), (139) imply:
% 261.31/66.89 | (140) all_4_61 = n3
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (135), (140) imply:
% 261.31/66.89 | (141) all_4_56 = n3
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (27), (132), (141) imply:
% 261.31/66.89 | (142) sum(n3, n3) = all_4_94
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (76), (138), (140) imply:
% 261.31/66.89 | (143) sum(n3, n3) = all_4_95
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n6, all_4_94, n3, n3, simplifying with
% 261.31/66.89 | (12), (142) gives:
% 261.31/66.89 | (144) all_4_94 = n6
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_95, all_4_94, n3, n3, simplifying
% 261.31/66.89 | with (142), (143) gives:
% 261.31/66.89 | (145) all_4_94 = all_4_95
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.89 | (146) all_4_95 = n6
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (86), (144) imply:
% 261.31/66.89 | (147) pred(n6) = all_4_52
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (7), (146) imply:
% 261.31/66.89 | (148) pred(n6) = all_4_55
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (19), (144) imply:
% 261.31/66.89 | (149) succ(n6) = all_4_54
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (2), (146) imply:
% 261.31/66.89 | (150) succ(n6) = all_4_51
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with n7, all_4_51, n6, simplifying with (58),
% 261.31/66.89 | (150) gives:
% 261.31/66.89 | (151) all_4_51 = n7
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with all_4_54, all_4_51, n6, simplifying with
% 261.31/66.89 | (149), (150) gives:
% 261.31/66.89 | (152) all_4_51 = all_4_54
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with n5, all_4_52, n6, simplifying with (41),
% 261.31/66.89 | (147) gives:
% 261.31/66.89 | (153) all_4_52 = n5
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with all_4_55, all_4_52, n6, simplifying with
% 261.31/66.89 | (147), (148) gives:
% 261.31/66.89 | (154) all_4_52 = all_4_55
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (151), (152) imply:
% 261.31/66.89 | (155) all_4_54 = n7
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (153), (154) imply:
% 261.31/66.89 | (156) all_4_55 = n5
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (156) implies:
% 261.31/66.89 | (157) all_4_55 = n5
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (82), (151), (153) imply:
% 261.31/66.89 | (158) sum(n5, n7) = all_4_50
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (11), (153), (155) imply:
% 261.31/66.89 | (159) sum(n5, n7) = all_4_48
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (45), (151), (157) imply:
% 261.31/66.89 | (160) sum(n5, n7) = all_4_49
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (15), (155), (157) imply:
% 261.31/66.89 | (161) sum(n5, n7) = all_4_53
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n1, all_4_49, n7, n5, simplifying with
% 261.31/66.89 | (35), (160) gives:
% 261.31/66.89 | (162) all_4_49 = n1
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_50, all_4_49, n7, n5, simplifying
% 261.31/66.89 | with (158), (160) gives:
% 261.31/66.89 | (163) all_4_49 = all_4_50
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_49, all_4_48, n7, n5, simplifying
% 261.31/66.89 | with (159), (160) gives:
% 261.31/66.89 | (164) all_4_48 = all_4_49
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_53, all_4_48, n7, n5, simplifying
% 261.31/66.89 | with (159), (161) gives:
% 261.31/66.89 | (165) all_4_48 = all_4_53
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (164), (165) imply:
% 261.31/66.89 | (166) all_4_49 = all_4_53
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (166) implies:
% 261.31/66.89 | (167) all_4_49 = all_4_53
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (162), (163) imply:
% 261.31/66.89 | (168) all_4_50 = n1
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (163), (167) imply:
% 261.31/66.89 | (169) all_4_50 = all_4_53
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (168), (169) imply:
% 261.31/66.89 | (170) all_4_53 = n1
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (165), (170) imply:
% 261.31/66.89 | (171) all_4_48 = n1
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (77), (162), (171) imply:
% 261.31/66.89 | (172) sum(n1, n1) = all_4_92
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (83), (168), (170) imply:
% 261.31/66.89 | (173) sum(n1, n1) = all_4_93
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n2, all_4_92, n1, n1, simplifying with
% 261.31/66.89 | (81), (172) gives:
% 261.31/66.89 | (174) all_4_92 = n2
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_93, all_4_92, n1, n1, simplifying
% 261.31/66.89 | with (172), (173) gives:
% 261.31/66.89 | (175) all_4_92 = all_4_93
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.89 | (176) all_4_93 = n2
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (176) implies:
% 261.31/66.89 | (177) all_4_93 = n2
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (34), (174) imply:
% 261.31/66.89 | (178) pred(n2) = all_4_44
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (50), (177) imply:
% 261.31/66.89 | (179) pred(n2) = all_4_47
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (5), (174) imply:
% 261.31/66.89 | (180) succ(n2) = all_4_46
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (84), (177) imply:
% 261.31/66.89 | (181) succ(n2) = all_4_43
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with n3, all_4_43, n2, simplifying with (56),
% 261.31/66.89 | (181) gives:
% 261.31/66.89 | (182) all_4_43 = n3
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with all_4_46, all_4_43, n2, simplifying with
% 261.31/66.89 | (180), (181) gives:
% 261.31/66.89 | (183) all_4_43 = all_4_46
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with n1, all_4_44, n2, simplifying with (69),
% 261.31/66.89 | (178) gives:
% 261.31/66.89 | (184) all_4_44 = n1
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with all_4_47, all_4_44, n2, simplifying with
% 261.31/66.89 | (178), (179) gives:
% 261.31/66.89 | (185) all_4_44 = all_4_47
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (182), (183) imply:
% 261.31/66.89 | (186) all_4_46 = n3
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.89 | (187) all_4_47 = n1
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (65), (182), (184) imply:
% 261.31/66.89 | (188) sum(n1, n3) = all_4_42
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (8), (184), (186) imply:
% 261.31/66.89 | (189) sum(n1, n3) = all_4_40
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (29), (182), (187) imply:
% 261.31/66.89 | (190) sum(n1, n3) = all_4_41
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (49), (186), (187) imply:
% 261.31/66.89 | (191) sum(n1, n3) = all_4_45
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n4, all_4_41, n3, n1, simplifying with
% 261.31/66.89 | (79), (190) gives:
% 261.31/66.89 | (192) all_4_41 = n4
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_42, all_4_41, n3, n1, simplifying
% 261.31/66.89 | with (188), (190) gives:
% 261.31/66.89 | (193) all_4_41 = all_4_42
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_41, all_4_40, n3, n1, simplifying
% 261.31/66.89 | with (189), (190) gives:
% 261.31/66.89 | (194) all_4_40 = all_4_41
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_45, all_4_40, n3, n1, simplifying
% 261.31/66.89 | with (189), (191) gives:
% 261.31/66.89 | (195) all_4_40 = all_4_45
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.89 | (196) all_4_41 = all_4_45
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (196) implies:
% 261.31/66.89 | (197) all_4_41 = all_4_45
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.89 | (198) all_4_42 = n4
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (193), (197) imply:
% 261.31/66.89 | (199) all_4_42 = all_4_45
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (198), (199) imply:
% 261.31/66.89 | (200) all_4_45 = n4
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (200) implies:
% 261.31/66.89 | (201) all_4_45 = n4
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (195), (201) imply:
% 261.31/66.89 | (202) all_4_40 = n4
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (55), (192), (202) imply:
% 261.31/66.89 | (203) sum(n4, n4) = all_4_90
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (62), (198), (201) imply:
% 261.31/66.89 | (204) sum(n4, n4) = all_4_91
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n8, all_4_90, n4, n4, simplifying with
% 261.31/66.89 | (72), (203) gives:
% 261.31/66.89 | (205) all_4_90 = n8
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_91, all_4_90, n4, n4, simplifying
% 261.31/66.89 | with (203), (204) gives:
% 261.31/66.89 | (206) all_4_90 = all_4_91
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (205), (206) imply:
% 261.31/66.89 | (207) all_4_91 = n8
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (207) implies:
% 261.31/66.89 | (208) all_4_91 = n8
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (71), (205) imply:
% 261.31/66.89 | (209) pred(n8) = all_4_36
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (32), (208) imply:
% 261.31/66.89 | (210) pred(n8) = all_4_39
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (23), (205) imply:
% 261.31/66.89 | (211) succ(n8) = all_4_38
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (4), (208) imply:
% 261.31/66.89 | (212) succ(n8) = all_4_35
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with n9, all_4_35, n8, simplifying with (59),
% 261.31/66.89 | (212) gives:
% 261.31/66.89 | (213) all_4_35 = n9
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with all_4_38, all_4_35, n8, simplifying with
% 261.31/66.89 | (211), (212) gives:
% 261.31/66.89 | (214) all_4_35 = all_4_38
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with n7, all_4_36, n8, simplifying with (21),
% 261.31/66.89 | (209) gives:
% 261.31/66.89 | (215) all_4_36 = n7
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (80) with all_4_39, all_4_36, n8, simplifying with
% 261.31/66.89 | (209), (210) gives:
% 261.31/66.89 | (216) all_4_36 = all_4_39
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (213), (214) imply:
% 261.31/66.89 | (217) all_4_38 = n9
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.89 | (218) all_4_39 = n7
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (47), (213), (215) imply:
% 261.31/66.89 | (219) sum(n7, n9) = all_4_34
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (75), (215), (217) imply:
% 261.31/66.89 | (220) sum(n7, n9) = all_4_32
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (60), (213), (218) imply:
% 261.31/66.89 | (221) sum(n7, n9) = all_4_33
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (64), (217), (218) imply:
% 261.31/66.89 | (222) sum(n7, n9) = all_4_37
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n5, all_4_33, n9, n7, simplifying with
% 261.31/66.89 | (68), (221) gives:
% 261.31/66.89 | (223) all_4_33 = n5
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_34, all_4_33, n9, n7, simplifying
% 261.31/66.89 | with (219), (221) gives:
% 261.31/66.89 | (224) all_4_33 = all_4_34
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_33, all_4_32, n9, n7, simplifying
% 261.31/66.89 | with (220), (221) gives:
% 261.31/66.89 | (225) all_4_32 = all_4_33
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_37, all_4_32, n9, n7, simplifying
% 261.31/66.89 | with (220), (222) gives:
% 261.31/66.89 | (226) all_4_32 = all_4_37
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.89 | (227) all_4_33 = all_4_37
% 261.31/66.89 |
% 261.31/66.89 | SIMP: (227) implies:
% 261.31/66.89 | (228) all_4_33 = all_4_37
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.89 | (229) all_4_34 = n5
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (224), (228) imply:
% 261.31/66.89 | (230) all_4_34 = all_4_37
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (229), (230) imply:
% 261.31/66.89 | (231) all_4_37 = n5
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (226), (231) imply:
% 261.31/66.89 | (232) all_4_32 = n5
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (28), (223), (232) imply:
% 261.31/66.89 | (233) sum(n5, n5) = all_4_88
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (20), (229), (231) imply:
% 261.31/66.89 | (234) sum(n5, n5) = all_4_89
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with n10, all_4_88, n5, n5, simplifying with
% 261.31/66.89 | (91), (233) gives:
% 261.31/66.89 | (235) all_4_88 = n10
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (61) with all_4_89, all_4_88, n5, n5, simplifying
% 261.31/66.89 | with (233), (234) gives:
% 261.31/66.89 | (236) all_4_88 = all_4_89
% 261.31/66.89 |
% 261.31/66.89 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.89 | (237) all_4_89 = n10
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (25), (235) imply:
% 261.31/66.89 | (238) pred(n10) = all_4_28
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (33), (237) imply:
% 261.31/66.89 | (239) pred(n10) = all_4_31
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (44), (235) imply:
% 261.31/66.89 | (240) succ(n10) = all_4_30
% 261.31/66.89 |
% 261.31/66.89 | REDUCE: (6), (237) imply:
% 261.31/66.89 | (241) succ(n10) = all_4_27
% 261.31/66.89 |
% 261.31/66.89 | GROUND_INST: instantiating (38) with n0, all_4_27, n10, simplifying with (37),
% 261.31/66.89 | (241) gives:
% 261.31/66.89 | (242) all_4_27 = n0
% 261.31/66.89 |
% 261.31/66.89 | REF_CLOSE: (1), (3), (9), (10), (17), (26), (31), (38), (61), (63), (66),
% 261.31/66.89 | (78), (80), (238), (239), (240), (241), (242) are inconsistent by
% 261.31/66.89 | sub-proof #155.
% 261.31/66.89 |
% 261.31/66.89 End of proof
% 261.31/66.89
% 261.31/66.89 Sub-proof #155 shows that the following formulas are inconsistent:
% 261.31/66.89 ----------------------------------------------------------------
% 261.31/66.90 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.90 (2) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.90 (3) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.90 (4) sum(n9, n0) = n9
% 261.31/66.90 (5) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.90 (6) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.90 (7) succ(n10) = all_4_30
% 261.31/66.90 (8) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.90 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.31/66.90 ~ (succ(v2) = v0))
% 261.31/66.90 (10) pred(n10) = all_4_31
% 261.31/66.90 (11) pred(n10) = all_4_28
% 261.31/66.90 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.90 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.90 (13) sum(n9, n9) = n7
% 261.31/66.90 (14) pred(n10) = n9
% 261.31/66.90 (15) all_4_27 = n0
% 261.31/66.90 (16) succ(n10) = all_4_27
% 261.31/66.90 (17) ~ (all_4_86 = all_4_87)
% 261.31/66.90 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.90 | ~ (pred(v2) = v0))
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (9) with all_4_30, all_4_27, n10, simplifying with
% 261.31/66.90 | (7), (16) gives:
% 261.31/66.90 | (19) all_4_27 = all_4_30
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (18) with n9, all_4_28, n10, simplifying with (11),
% 261.31/66.90 | (14) gives:
% 261.31/66.90 | (20) all_4_28 = n9
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (18) with all_4_31, all_4_28, n10, simplifying with
% 261.31/66.90 | (10), (11) gives:
% 261.31/66.90 | (21) all_4_28 = all_4_31
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (15), (19) imply:
% 261.31/66.90 | (22) all_4_30 = n0
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (20), (21) imply:
% 261.31/66.90 | (23) all_4_31 = n9
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (1), (15), (20) imply:
% 261.31/66.90 | (24) sum(n9, n0) = all_4_26
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (3), (20), (22) imply:
% 261.31/66.90 | (25) sum(n9, n0) = all_4_24
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (5), (15), (23) imply:
% 261.31/66.90 | (26) sum(n9, n0) = all_4_25
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (6), (22), (23) imply:
% 261.31/66.90 | (27) sum(n9, n0) = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with n9, all_4_25, n0, n9, simplifying with
% 261.31/66.90 | (4), (26) gives:
% 261.31/66.90 | (28) all_4_25 = n9
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_26, all_4_25, n0, n9, simplifying
% 261.31/66.90 | with (24), (26) gives:
% 261.31/66.90 | (29) all_4_25 = all_4_26
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_25, all_4_24, n0, n9, simplifying
% 261.31/66.90 | with (25), (26) gives:
% 261.31/66.90 | (30) all_4_24 = all_4_25
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_29, all_4_24, n0, n9, simplifying
% 261.31/66.90 | with (25), (27) gives:
% 261.31/66.90 | (31) all_4_24 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (30), (31) imply:
% 261.31/66.90 | (32) all_4_25 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (32) implies:
% 261.31/66.90 | (33) all_4_25 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (28), (29) imply:
% 261.31/66.90 | (34) all_4_26 = n9
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (29), (33) imply:
% 261.31/66.90 | (35) all_4_26 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (34), (35) imply:
% 261.31/66.90 | (36) all_4_29 = n9
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (31), (36) imply:
% 261.31/66.90 | (37) all_4_24 = n9
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (2), (28), (37) imply:
% 261.31/66.90 | (38) sum(n9, n9) = all_4_86
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (8), (34), (36) imply:
% 261.31/66.90 | (39) sum(n9, n9) = all_4_87
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with n7, all_4_86, n9, n9, simplifying with
% 261.31/66.90 | (13), (38) gives:
% 261.31/66.90 | (40) all_4_86 = n7
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_87, all_4_86, n9, n9, simplifying
% 261.31/66.90 | with (38), (39) gives:
% 261.31/66.90 | (41) all_4_86 = all_4_87
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (40), (41) imply:
% 261.31/66.90 | (42) all_4_87 = n7
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (42) implies:
% 261.31/66.90 | (43) all_4_87 = n7
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (17), (40), (43) imply:
% 261.31/66.90 | (44) $false
% 261.31/66.90 |
% 261.31/66.90 | CLOSE: (44) is inconsistent.
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #156 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.90 (2) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.90 (3) sum(n2, n2) = n4
% 261.31/66.90 (4) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.90 (5) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.90 (6) succ(n1) = all_4_27
% 261.31/66.90 (7) pred(n1) = all_4_28
% 261.31/66.90 (8) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.90 (9) sum(n0, n2) = n2
% 261.31/66.90 (10) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.90 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.90 | ~ (succ(v2) = v0))
% 261.31/66.90 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.90 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.90 (13) succ(n1) = all_4_30
% 261.31/66.90 (14) all_4_27 = n2
% 261.31/66.90 (15) pred(n1) = all_4_31
% 261.31/66.90 (16) pred(n1) = n0
% 261.31/66.90 (17) ~ (all_4_86 = all_4_87)
% 261.31/66.90 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.90 | ~ (pred(v2) = v0))
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (11) with all_4_30, all_4_27, n1, simplifying with
% 261.31/66.90 | (6), (13) gives:
% 261.31/66.90 | (19) all_4_27 = all_4_30
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (18) with n0, all_4_28, n1, simplifying with (7),
% 261.31/66.90 | (16) gives:
% 261.31/66.90 | (20) all_4_28 = n0
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (18) with all_4_31, all_4_28, n1, simplifying with
% 261.31/66.90 | (7), (15) gives:
% 261.31/66.90 | (21) all_4_28 = all_4_31
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (14), (19) imply:
% 261.31/66.90 | (22) all_4_30 = n2
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (20), (21) imply:
% 261.31/66.90 | (23) all_4_31 = n0
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (1), (14), (20) imply:
% 261.31/66.90 | (24) sum(n0, n2) = all_4_26
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (4), (20), (22) imply:
% 261.31/66.90 | (25) sum(n0, n2) = all_4_24
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (5), (14), (23) imply:
% 261.31/66.90 | (26) sum(n0, n2) = all_4_25
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (8), (22), (23) imply:
% 261.31/66.90 | (27) sum(n0, n2) = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with n2, all_4_25, n2, n0, simplifying with
% 261.31/66.90 | (9), (26) gives:
% 261.31/66.90 | (28) all_4_25 = n2
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_26, all_4_25, n2, n0, simplifying
% 261.31/66.90 | with (24), (26) gives:
% 261.31/66.90 | (29) all_4_25 = all_4_26
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_25, all_4_24, n2, n0, simplifying
% 261.31/66.90 | with (25), (26) gives:
% 261.31/66.90 | (30) all_4_24 = all_4_25
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_29, all_4_24, n2, n0, simplifying
% 261.31/66.90 | with (25), (27) gives:
% 261.31/66.90 | (31) all_4_24 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (30), (31) imply:
% 261.31/66.90 | (32) all_4_25 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (32) implies:
% 261.31/66.90 | (33) all_4_25 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (28), (29) imply:
% 261.31/66.90 | (34) all_4_26 = n2
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (29), (33) imply:
% 261.31/66.90 | (35) all_4_26 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (34), (35) imply:
% 261.31/66.90 | (36) all_4_29 = n2
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (31), (36) imply:
% 261.31/66.90 | (37) all_4_24 = n2
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (2), (28), (37) imply:
% 261.31/66.90 | (38) sum(n2, n2) = all_4_86
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (10), (34), (36) imply:
% 261.31/66.90 | (39) sum(n2, n2) = all_4_87
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with n4, all_4_86, n2, n2, simplifying with
% 261.31/66.90 | (3), (38) gives:
% 261.31/66.90 | (40) all_4_86 = n4
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (12) with all_4_87, all_4_86, n2, n2, simplifying
% 261.31/66.90 | with (38), (39) gives:
% 261.31/66.90 | (41) all_4_86 = all_4_87
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (40), (41) imply:
% 261.31/66.90 | (42) all_4_87 = n4
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (42) implies:
% 261.31/66.90 | (43) all_4_87 = n4
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (17), (40), (43) imply:
% 261.31/66.90 | (44) $false
% 261.31/66.90 |
% 261.31/66.90 | CLOSE: (44) is inconsistent.
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #157 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) all_4_97 = n1
% 261.31/66.90 (2) all_4_90 = n9
% 261.31/66.90 (3) all_4_88 = n3
% 261.31/66.90 (4) all_4_93 = n5
% 261.31/66.90 (5) all_4_96 = n1
% 261.31/66.90 (6) all_4_98 = n3
% 261.31/66.90 (7) all_4_89 = n3
% 261.31/66.90 (8) all_4_91 = n9
% 261.31/66.90 (9) all_4_95 = n4
% 261.31/66.90 (10) all_4_94 = n4
% 261.31/66.90 (11) all_4_99 = n3
% 261.31/66.90 (12) all_4_92 = n5
% 261.31/66.90 (13) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.31/66.90 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 261.31/66.90 (all_4_98 = all_4_99)
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | BETA: splitting (13) gives:
% 261.31/66.90 |
% 261.31/66.90 | Case 1:
% 261.31/66.90 | |
% 261.31/66.90 | | (14) ~ (all_4_88 = all_4_89)
% 261.31/66.90 | |
% 261.31/66.90 | | REDUCE: (3), (7), (14) imply:
% 261.31/66.90 | | (15) $false
% 261.31/66.90 | |
% 261.31/66.90 | | CLOSE: (15) is inconsistent.
% 261.31/66.90 | |
% 261.31/66.90 | Case 2:
% 261.31/66.90 | |
% 261.31/66.90 | | (16) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.31/66.90 | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.31/66.90 | |
% 261.31/66.90 | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12), (16) are
% 261.31/66.90 | | inconsistent by sub-proof #158.
% 261.31/66.90 | |
% 261.31/66.90 | End of split
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #158 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) all_4_97 = n1
% 261.31/66.90 (2) all_4_90 = n9
% 261.31/66.90 (3) all_4_93 = n5
% 261.31/66.90 (4) all_4_96 = n1
% 261.31/66.90 (5) all_4_98 = n3
% 261.31/66.90 (6) all_4_91 = n9
% 261.31/66.90 (7) all_4_95 = n4
% 261.31/66.90 (8) all_4_94 = n4
% 261.31/66.90 (9) all_4_99 = n3
% 261.31/66.90 (10) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.31/66.90 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.31/66.90 (11) all_4_92 = n5
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | BETA: splitting (10) gives:
% 261.31/66.90 |
% 261.31/66.90 | Case 1:
% 261.31/66.90 | |
% 261.31/66.90 | | (12) ~ (all_4_90 = all_4_91)
% 261.31/66.90 | |
% 261.31/66.90 | | REDUCE: (2), (6), (12) imply:
% 261.31/66.90 | | (13) $false
% 261.31/66.90 | |
% 261.31/66.90 | | CLOSE: (13) is inconsistent.
% 261.31/66.90 | |
% 261.31/66.90 | Case 2:
% 261.31/66.90 | |
% 261.31/66.90 | | (14) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.31/66.90 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 261.31/66.90 | |
% 261.31/66.90 | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (14) are inconsistent by
% 261.31/66.90 | | sub-proof #159.
% 261.31/66.90 | |
% 261.31/66.90 | End of split
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #159 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) all_4_97 = n1
% 261.31/66.90 (2) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.31/66.90 all_4_97) | ~ (all_4_98 = all_4_99)
% 261.31/66.90 (3) all_4_93 = n5
% 261.31/66.90 (4) all_4_96 = n1
% 261.31/66.90 (5) all_4_98 = n3
% 261.31/66.90 (6) all_4_95 = n4
% 261.31/66.90 (7) all_4_94 = n4
% 261.31/66.90 (8) all_4_99 = n3
% 261.31/66.90 (9) all_4_92 = n5
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | BETA: splitting (2) gives:
% 261.31/66.90 |
% 261.31/66.90 | Case 1:
% 261.31/66.90 | |
% 261.31/66.90 | | (10) ~ (all_4_92 = all_4_93)
% 261.31/66.90 | |
% 261.31/66.90 | | REDUCE: (3), (9), (10) imply:
% 261.31/66.90 | | (11) $false
% 261.31/66.90 | |
% 261.31/66.90 | | CLOSE: (11) is inconsistent.
% 261.31/66.90 | |
% 261.31/66.90 | Case 2:
% 261.31/66.90 | |
% 261.31/66.90 | | (12) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.31/66.90 | | all_4_99)
% 261.31/66.90 | |
% 261.31/66.90 | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (12) are inconsistent by sub-proof
% 261.31/66.90 | | #160.
% 261.31/66.90 | |
% 261.31/66.90 | End of split
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #160 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) all_4_97 = n1
% 261.31/66.90 (2) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.31/66.90 all_4_99)
% 261.31/66.90 (3) all_4_96 = n1
% 261.31/66.90 (4) all_4_98 = n3
% 261.31/66.90 (5) all_4_95 = n4
% 261.31/66.90 (6) all_4_94 = n4
% 261.31/66.90 (7) all_4_99 = n3
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | BETA: splitting (2) gives:
% 261.31/66.90 |
% 261.31/66.90 | Case 1:
% 261.31/66.90 | |
% 261.31/66.90 | | (8) ~ (all_4_94 = all_4_95)
% 261.31/66.90 | |
% 261.31/66.90 | | REDUCE: (5), (6), (8) imply:
% 261.31/66.90 | | (9) $false
% 261.31/66.90 | |
% 261.31/66.90 | | CLOSE: (9) is inconsistent.
% 261.31/66.90 | |
% 261.31/66.90 | Case 2:
% 261.31/66.90 | |
% 261.31/66.90 | | (10) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.31/66.90 | |
% 261.31/66.90 | | REF_CLOSE: (1), (3), (4), (7), (10) are inconsistent by sub-proof #161.
% 261.31/66.90 | |
% 261.31/66.90 | End of split
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #161 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) all_4_97 = n1
% 261.31/66.90 (2) all_4_96 = n1
% 261.31/66.90 (3) all_4_98 = n3
% 261.31/66.90 (4) all_4_99 = n3
% 261.31/66.90 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | BETA: splitting (5) gives:
% 261.31/66.90 |
% 261.31/66.90 | Case 1:
% 261.31/66.90 | |
% 261.31/66.90 | | (6) ~ (all_4_96 = all_4_97)
% 261.31/66.90 | |
% 261.31/66.90 | | REDUCE: (1), (2), (6) imply:
% 261.31/66.90 | | (7) $false
% 261.31/66.90 | |
% 261.31/66.90 | | CLOSE: (7) is inconsistent.
% 261.31/66.90 | |
% 261.31/66.90 | Case 2:
% 261.31/66.90 | |
% 261.31/66.90 | | (8) ~ (all_4_98 = all_4_99)
% 261.31/66.90 | |
% 261.31/66.90 | | REDUCE: (3), (4), (8) imply:
% 261.31/66.90 | | (9) $false
% 261.31/66.90 | |
% 261.31/66.90 | | CLOSE: (9) is inconsistent.
% 261.31/66.90 | |
% 261.31/66.90 | End of split
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #162 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.90 (2) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.90 (3) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.90 (4) sum(n2, n4) = n6
% 261.31/66.90 (5) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.90 (6) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.90 (7) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.90 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.31/66.90 ~ (succ(v2) = v0))
% 261.31/66.90 (9) pred(n3) = n2
% 261.31/66.90 (10) succ(n3) = all_4_30
% 261.31/66.90 (11) pred(n3) = all_4_28
% 261.31/66.90 (12) all_4_27 = n4
% 261.31/66.90 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.90 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.90 (14) sum(n6, n6) = n1
% 261.31/66.90 (15) succ(n3) = all_4_27
% 261.31/66.90 (16) pred(n3) = all_4_31
% 261.31/66.90 (17) ~ (all_4_86 = all_4_87)
% 261.31/66.90 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.90 | ~ (pred(v2) = v0))
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (8) with all_4_30, all_4_27, n3, simplifying with
% 261.31/66.90 | (10), (15) gives:
% 261.31/66.90 | (19) all_4_27 = all_4_30
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (18) with n2, all_4_28, n3, simplifying with (9),
% 261.31/66.90 | (11) gives:
% 261.31/66.90 | (20) all_4_28 = n2
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (18) with all_4_31, all_4_28, n3, simplifying with
% 261.31/66.90 | (11), (16) gives:
% 261.31/66.90 | (21) all_4_28 = all_4_31
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (12), (19) imply:
% 261.31/66.90 | (22) all_4_30 = n4
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (20), (21) imply:
% 261.31/66.90 | (23) all_4_31 = n2
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (1), (12), (20) imply:
% 261.31/66.90 | (24) sum(n2, n4) = all_4_26
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (3), (20), (22) imply:
% 261.31/66.90 | (25) sum(n2, n4) = all_4_24
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (5), (12), (23) imply:
% 261.31/66.90 | (26) sum(n2, n4) = all_4_25
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (6), (22), (23) imply:
% 261.31/66.90 | (27) sum(n2, n4) = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (13) with n6, all_4_25, n4, n2, simplifying with
% 261.31/66.90 | (4), (26) gives:
% 261.31/66.90 | (28) all_4_25 = n6
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (13) with all_4_26, all_4_25, n4, n2, simplifying
% 261.31/66.90 | with (24), (26) gives:
% 261.31/66.90 | (29) all_4_25 = all_4_26
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (13) with all_4_25, all_4_24, n4, n2, simplifying
% 261.31/66.90 | with (25), (26) gives:
% 261.31/66.90 | (30) all_4_24 = all_4_25
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (13) with all_4_29, all_4_24, n4, n2, simplifying
% 261.31/66.90 | with (25), (27) gives:
% 261.31/66.90 | (31) all_4_24 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (30), (31) imply:
% 261.31/66.90 | (32) all_4_25 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (32) implies:
% 261.31/66.90 | (33) all_4_25 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (28), (29) imply:
% 261.31/66.90 | (34) all_4_26 = n6
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (29), (33) imply:
% 261.31/66.90 | (35) all_4_26 = all_4_29
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (34), (35) imply:
% 261.31/66.90 | (36) all_4_29 = n6
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (31), (36) imply:
% 261.31/66.90 | (37) all_4_24 = n6
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (2), (28), (37) imply:
% 261.31/66.90 | (38) sum(n6, n6) = all_4_86
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (7), (34), (36) imply:
% 261.31/66.90 | (39) sum(n6, n6) = all_4_87
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (13) with n1, all_4_86, n6, n6, simplifying with
% 261.31/66.90 | (14), (38) gives:
% 261.31/66.90 | (40) all_4_86 = n1
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (13) with all_4_87, all_4_86, n6, n6, simplifying
% 261.31/66.90 | with (38), (39) gives:
% 261.31/66.90 | (41) all_4_86 = all_4_87
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (40), (41) imply:
% 261.31/66.90 | (42) all_4_87 = n1
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (42) implies:
% 261.31/66.90 | (43) all_4_87 = n1
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (17), (40), (43) imply:
% 261.31/66.90 | (44) $false
% 261.31/66.90 |
% 261.31/66.90 | CLOSE: (44) is inconsistent.
% 261.31/66.90 |
% 261.31/66.90 End of proof
% 261.31/66.90
% 261.31/66.90 Sub-proof #163 shows that the following formulas are inconsistent:
% 261.31/66.90 ----------------------------------------------------------------
% 261.31/66.90 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.90 (2) succ(all_4_95) = all_4_51
% 261.31/66.90 (3) succ(all_4_87) = all_4_19
% 261.31/66.90 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.90 (5) succ(n1) = n2
% 261.31/66.90 (6) succ(all_4_91) = all_4_35
% 261.31/66.90 (7) sum(n4, n6) = n10
% 261.31/66.90 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.31/66.90 (9) succ(all_4_92) = all_4_46
% 261.31/66.90 (10) sum(all_4_23, all_4_19) = all_4_17
% 261.31/66.90 (11) ~ (all_4_84 = all_4_85)
% 261.31/66.90 (12) succ(all_4_89) = all_4_27
% 261.31/66.90 (13) sum(n2, n2) = n4
% 261.31/66.90 (14) pred(all_4_95) = all_4_55
% 261.31/66.90 (15) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.90 (16) all_4_98 = n9
% 261.31/66.90 (17) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.90 (18) sum(all_4_20, all_4_19) = all_4_18
% 261.31/66.90 (19) succ(n9) = n10
% 261.31/66.90 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.90 (21) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.90 (22) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.90 (23) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.90 (24) sum(all_4_23, all_4_22) = all_4_21
% 261.31/66.90 (25) sum(n2, n4) = n6
% 261.31/66.90 (26) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.90 (27) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.90 (28) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.90 (29) succ(all_4_94) = all_4_54
% 261.31/66.90 (30) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.90 (31) sum(n8, n8) = n5
% 261.31/66.90 (32) succ(all_4_86) = all_4_22
% 261.31/66.90 (33) pred(all_4_99) = all_4_71
% 261.31/66.90 (34) pred(all_4_86) = all_4_20
% 261.31/66.90 (35) succ(all_4_90) = all_4_38
% 261.31/66.90 (36) pred(all_4_88) = all_4_28
% 261.31/66.90 (37) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.90 (38) sum(n8, n10) = n7
% 261.31/66.90 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.90 (40) sum(n0, n2) = n2
% 261.31/66.90 (41) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.90 (42) sum(n3, n5) = n8
% 261.31/66.90 (43) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.90 (44) pred(n5) = n4
% 261.31/66.90 (45) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.90 (46) pred(all_4_91) = all_4_39
% 261.31/66.90 (47) pred(all_4_89) = all_4_31
% 261.31/66.90 (48) pred(all_4_92) = all_4_44
% 261.31/66.90 (49) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.90 (50) pred(n4) = n3
% 261.31/66.90 (51) sum(n10, n10) = all_4_99
% 261.31/66.90 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.90 | ~ (succ(v2) = v0))
% 261.31/66.90 (53) pred(all_4_97) = all_4_63
% 261.31/66.90 (54) succ(all_4_99) = all_4_67
% 261.31/66.90 (55) pred(n9) = n8
% 261.31/66.90 (56) succ(n3) = n4
% 261.31/66.90 (57) pred(all_4_96) = all_4_60
% 261.31/66.90 (58) succ(all_4_96) = all_4_62
% 261.31/66.90 (59) pred(n3) = n2
% 261.31/66.90 (60) succ(all_4_88) = all_4_30
% 261.31/66.90 (61) sum(all_4_20, all_4_22) = all_4_16
% 261.31/66.90 (62) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.90 (63) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.90 (64) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.90 (65) pred(all_4_93) = all_4_47
% 261.31/66.90 (66) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.90 (67) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.90 (68) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.90 (69) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.90 (70) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.90 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.90 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.90 (72) pred(all_4_87) = all_4_23
% 261.31/66.90 (73) all_4_99 = n9
% 261.31/66.90 (74) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.90 (75) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.90 (76) sum(n6, n6) = n1
% 261.31/66.90 (77) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.90 (78) succ(n5) = n6
% 261.31/66.90 (79) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.90 (80) succ(n4) = n5
% 261.31/66.90 (81) sum(all_4_17, all_4_16) = all_4_84
% 261.31/66.90 (82) succ(all_4_98) = all_4_70
% 261.31/66.90 (83) pred(all_4_90) = all_4_36
% 261.31/66.90 (84) pred(n1) = n0
% 261.31/66.90 (85) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.90 (86) succ(all_4_97) = all_4_59
% 261.31/66.90 (87) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.90 (88) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.90 (89) sum(n7, n7) = n3
% 261.31/66.90 (90) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.90 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.90 | ~ (pred(v2) = v0))
% 261.31/66.90 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.90 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.90 (94) succ(all_4_93) = all_4_43
% 261.31/66.90 (95) pred(all_4_98) = all_4_68
% 261.31/66.90 (96) pred(all_4_94) = all_4_52
% 261.31/66.90
% 261.31/66.90 Begin of proof
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (16), (95) imply:
% 261.31/66.90 | (97) pred(n9) = all_4_68
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (33), (73) imply:
% 261.31/66.90 | (98) pred(n9) = all_4_71
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (16), (82) imply:
% 261.31/66.90 | (99) succ(n9) = all_4_70
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (54), (73) imply:
% 261.31/66.90 | (100) succ(n9) = all_4_67
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (51), (73) imply:
% 261.31/66.90 | (101) sum(n10, n10) = n9
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (52) with n10, all_4_67, n9, simplifying with (19),
% 261.31/66.90 | (100) gives:
% 261.31/66.90 | (102) all_4_67 = n10
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (52) with all_4_70, all_4_67, n9, simplifying with
% 261.31/66.90 | (99), (100) gives:
% 261.31/66.90 | (103) all_4_67 = all_4_70
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (91) with n8, all_4_68, n9, simplifying with (55),
% 261.31/66.90 | (97) gives:
% 261.31/66.90 | (104) all_4_68 = n8
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n9, simplifying with
% 261.31/66.90 | (97), (98) gives:
% 261.31/66.90 | (105) all_4_68 = all_4_71
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.90 | (106) all_4_70 = n10
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.90 | (107) all_4_71 = n8
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (69), (102), (104) imply:
% 261.31/66.90 | (108) sum(n8, n10) = all_4_66
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (85), (104), (106) imply:
% 261.31/66.90 | (109) sum(n8, n10) = all_4_64
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (66), (102), (107) imply:
% 261.31/66.90 | (110) sum(n8, n10) = all_4_65
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (22), (106), (107) imply:
% 261.31/66.90 | (111) sum(n8, n10) = all_4_69
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (71) with n7, all_4_65, n10, n8, simplifying with
% 261.31/66.90 | (38), (110) gives:
% 261.31/66.90 | (112) all_4_65 = n7
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (71) with all_4_66, all_4_65, n10, n8, simplifying
% 261.31/66.90 | with (108), (110) gives:
% 261.31/66.90 | (113) all_4_65 = all_4_66
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (71) with all_4_66, all_4_64, n10, n8, simplifying
% 261.31/66.90 | with (108), (109) gives:
% 261.31/66.90 | (114) all_4_64 = all_4_66
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (71) with all_4_69, all_4_64, n10, n8, simplifying
% 261.31/66.90 | with (109), (111) gives:
% 261.31/66.90 | (115) all_4_64 = all_4_69
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.90 | (116) all_4_66 = all_4_69
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (116) implies:
% 261.31/66.90 | (117) all_4_66 = all_4_69
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (112), (113) imply:
% 261.31/66.90 | (118) all_4_66 = n7
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (118) implies:
% 261.31/66.90 | (119) all_4_66 = n7
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (117), (119) imply:
% 261.31/66.90 | (120) all_4_69 = n7
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (115), (120) imply:
% 261.31/66.90 | (121) all_4_64 = n7
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (49), (112), (121) imply:
% 261.31/66.90 | (122) sum(n7, n7) = all_4_96
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (79), (119), (120) imply:
% 261.31/66.90 | (123) sum(n7, n7) = all_4_97
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (71) with n3, all_4_96, n7, n7, simplifying with
% 261.31/66.90 | (89), (122) gives:
% 261.31/66.90 | (124) all_4_96 = n3
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (71) with all_4_97, all_4_96, n7, n7, simplifying
% 261.31/66.90 | with (122), (123) gives:
% 261.31/66.90 | (125) all_4_96 = all_4_97
% 261.31/66.90 |
% 261.31/66.90 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.90 | (126) all_4_97 = n3
% 261.31/66.90 |
% 261.31/66.90 | SIMP: (126) implies:
% 261.31/66.90 | (127) all_4_97 = n3
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (57), (124) imply:
% 261.31/66.90 | (128) pred(n3) = all_4_60
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (53), (127) imply:
% 261.31/66.90 | (129) pred(n3) = all_4_63
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (58), (124) imply:
% 261.31/66.90 | (130) succ(n3) = all_4_62
% 261.31/66.90 |
% 261.31/66.90 | REDUCE: (86), (127) imply:
% 261.31/66.90 | (131) succ(n3) = all_4_59
% 261.31/66.90 |
% 261.31/66.90 | GROUND_INST: instantiating (52) with n4, all_4_59, n3, simplifying with (56),
% 261.31/66.90 | (131) gives:
% 261.31/66.91 | (132) all_4_59 = n4
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with all_4_62, all_4_59, n3, simplifying with
% 261.31/66.91 | (130), (131) gives:
% 261.31/66.91 | (133) all_4_59 = all_4_62
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with n2, all_4_60, n3, simplifying with (59),
% 261.31/66.91 | (128) gives:
% 261.31/66.91 | (134) all_4_60 = n2
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n3, simplifying with
% 261.31/66.91 | (128), (129) gives:
% 261.31/66.91 | (135) all_4_60 = all_4_63
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.91 | (136) all_4_62 = n4
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.91 | (137) all_4_63 = n2
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (67), (132), (134) imply:
% 261.31/66.91 | (138) sum(n2, n4) = all_4_58
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (21), (134), (136) imply:
% 261.31/66.91 | (139) sum(n2, n4) = all_4_56
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (26), (132), (137) imply:
% 261.31/66.91 | (140) sum(n2, n4) = all_4_57
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (28), (136), (137) imply:
% 261.31/66.91 | (141) sum(n2, n4) = all_4_61
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n6, all_4_57, n4, n2, simplifying with
% 261.31/66.91 | (25), (140) gives:
% 261.31/66.91 | (142) all_4_57 = n6
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_58, all_4_57, n4, n2, simplifying
% 261.31/66.91 | with (138), (140) gives:
% 261.31/66.91 | (143) all_4_57 = all_4_58
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_57, all_4_56, n4, n2, simplifying
% 261.31/66.91 | with (139), (140) gives:
% 261.31/66.91 | (144) all_4_56 = all_4_57
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_61, all_4_56, n4, n2, simplifying
% 261.31/66.91 | with (139), (141) gives:
% 261.31/66.91 | (145) all_4_56 = all_4_61
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.91 | (146) all_4_57 = all_4_61
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (146) implies:
% 261.31/66.91 | (147) all_4_57 = all_4_61
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (142), (143) imply:
% 261.31/66.91 | (148) all_4_58 = n6
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (143), (147) imply:
% 261.31/66.91 | (149) all_4_58 = all_4_61
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (148), (149) imply:
% 261.31/66.91 | (150) all_4_61 = n6
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (145), (150) imply:
% 261.31/66.91 | (151) all_4_56 = n6
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (39), (142), (151) imply:
% 261.31/66.91 | (152) sum(n6, n6) = all_4_94
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (88), (148), (150) imply:
% 261.31/66.91 | (153) sum(n6, n6) = all_4_95
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n1, all_4_94, n6, n6, simplifying with
% 261.31/66.91 | (76), (152) gives:
% 261.31/66.91 | (154) all_4_94 = n1
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_95, all_4_94, n6, n6, simplifying
% 261.31/66.91 | with (152), (153) gives:
% 261.31/66.91 | (155) all_4_94 = all_4_95
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (154), (155) imply:
% 261.31/66.91 | (156) all_4_95 = n1
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (96), (154) imply:
% 261.31/66.91 | (157) pred(n1) = all_4_52
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (14), (156) imply:
% 261.31/66.91 | (158) pred(n1) = all_4_55
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (29), (154) imply:
% 261.31/66.91 | (159) succ(n1) = all_4_54
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (2), (156) imply:
% 261.31/66.91 | (160) succ(n1) = all_4_51
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with n2, all_4_51, n1, simplifying with (5),
% 261.31/66.91 | (160) gives:
% 261.31/66.91 | (161) all_4_51 = n2
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with all_4_54, all_4_51, n1, simplifying with
% 261.31/66.91 | (159), (160) gives:
% 261.31/66.91 | (162) all_4_51 = all_4_54
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with n0, all_4_52, n1, simplifying with (84),
% 261.31/66.91 | (157) gives:
% 261.31/66.91 | (163) all_4_52 = n0
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n1, simplifying with
% 261.31/66.91 | (157), (158) gives:
% 261.31/66.91 | (164) all_4_52 = all_4_55
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (161), (162) imply:
% 261.31/66.91 | (165) all_4_54 = n2
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (163), (164) imply:
% 261.31/66.91 | (166) all_4_55 = n0
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (166) implies:
% 261.31/66.91 | (167) all_4_55 = n0
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (92), (161), (163) imply:
% 261.31/66.91 | (168) sum(n0, n2) = all_4_50
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (20), (163), (165) imply:
% 261.31/66.91 | (169) sum(n0, n2) = all_4_48
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (62), (161), (167) imply:
% 261.31/66.91 | (170) sum(n0, n2) = all_4_49
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (23), (165), (167) imply:
% 261.31/66.91 | (171) sum(n0, n2) = all_4_53
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n2, all_4_49, n2, n0, simplifying with
% 261.31/66.91 | (40), (170) gives:
% 261.31/66.91 | (172) all_4_49 = n2
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_50, all_4_49, n2, n0, simplifying
% 261.31/66.91 | with (168), (170) gives:
% 261.31/66.91 | (173) all_4_49 = all_4_50
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_49, all_4_48, n2, n0, simplifying
% 261.31/66.91 | with (169), (170) gives:
% 261.31/66.91 | (174) all_4_48 = all_4_49
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_53, all_4_48, n2, n0, simplifying
% 261.31/66.91 | with (169), (171) gives:
% 261.31/66.91 | (175) all_4_48 = all_4_53
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.91 | (176) all_4_49 = all_4_53
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (176) implies:
% 261.31/66.91 | (177) all_4_49 = all_4_53
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (172), (173) imply:
% 261.31/66.91 | (178) all_4_50 = n2
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (173), (177) imply:
% 261.31/66.91 | (179) all_4_50 = all_4_53
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (178), (179) imply:
% 261.31/66.91 | (180) all_4_53 = n2
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (175), (180) imply:
% 261.31/66.91 | (181) all_4_48 = n2
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (90), (172), (181) imply:
% 261.31/66.91 | (182) sum(n2, n2) = all_4_92
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (93), (178), (180) imply:
% 261.31/66.91 | (183) sum(n2, n2) = all_4_93
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n4, all_4_92, n2, n2, simplifying with
% 261.31/66.91 | (13), (182) gives:
% 261.31/66.91 | (184) all_4_92 = n4
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_93, all_4_92, n2, n2, simplifying
% 261.31/66.91 | with (182), (183) gives:
% 261.31/66.91 | (185) all_4_92 = all_4_93
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.91 | (186) all_4_93 = n4
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (186) implies:
% 261.31/66.91 | (187) all_4_93 = n4
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (48), (184) imply:
% 261.31/66.91 | (188) pred(n4) = all_4_44
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (65), (187) imply:
% 261.31/66.91 | (189) pred(n4) = all_4_47
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (9), (184) imply:
% 261.31/66.91 | (190) succ(n4) = all_4_46
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (94), (187) imply:
% 261.31/66.91 | (191) succ(n4) = all_4_43
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with n5, all_4_43, n4, simplifying with (80),
% 261.31/66.91 | (191) gives:
% 261.31/66.91 | (192) all_4_43 = n5
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with all_4_46, all_4_43, n4, simplifying with
% 261.31/66.91 | (190), (191) gives:
% 261.31/66.91 | (193) all_4_43 = all_4_46
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with n3, all_4_44, n4, simplifying with (50),
% 261.31/66.91 | (188) gives:
% 261.31/66.91 | (194) all_4_44 = n3
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n4, simplifying with
% 261.31/66.91 | (188), (189) gives:
% 261.31/66.91 | (195) all_4_44 = all_4_47
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.91 | (196) all_4_46 = n5
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.91 | (197) all_4_47 = n3
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (77), (192), (194) imply:
% 261.31/66.91 | (198) sum(n3, n5) = all_4_42
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (15), (194), (196) imply:
% 261.31/66.91 | (199) sum(n3, n5) = all_4_40
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (43), (192), (197) imply:
% 261.31/66.91 | (200) sum(n3, n5) = all_4_41
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (64), (196), (197) imply:
% 261.31/66.91 | (201) sum(n3, n5) = all_4_45
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n8, all_4_41, n5, n3, simplifying with
% 261.31/66.91 | (42), (200) gives:
% 261.31/66.91 | (202) all_4_41 = n8
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_42, all_4_41, n5, n3, simplifying
% 261.31/66.91 | with (198), (200) gives:
% 261.31/66.91 | (203) all_4_41 = all_4_42
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_41, all_4_40, n5, n3, simplifying
% 261.31/66.91 | with (199), (200) gives:
% 261.31/66.91 | (204) all_4_40 = all_4_41
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_45, all_4_40, n5, n3, simplifying
% 261.31/66.91 | with (199), (201) gives:
% 261.31/66.91 | (205) all_4_40 = all_4_45
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (204), (205) imply:
% 261.31/66.91 | (206) all_4_41 = all_4_45
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (206) implies:
% 261.31/66.91 | (207) all_4_41 = all_4_45
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (202), (203) imply:
% 261.31/66.91 | (208) all_4_42 = n8
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (203), (207) imply:
% 261.31/66.91 | (209) all_4_42 = all_4_45
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (208), (209) imply:
% 261.31/66.91 | (210) all_4_45 = n8
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (210) implies:
% 261.31/66.91 | (211) all_4_45 = n8
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (205), (211) imply:
% 261.31/66.91 | (212) all_4_40 = n8
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (68), (202), (212) imply:
% 261.31/66.91 | (213) sum(n8, n8) = all_4_90
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (74), (208), (211) imply:
% 261.31/66.91 | (214) sum(n8, n8) = all_4_91
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n5, all_4_90, n8, n8, simplifying with
% 261.31/66.91 | (31), (213) gives:
% 261.31/66.91 | (215) all_4_90 = n5
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_91, all_4_90, n8, n8, simplifying
% 261.31/66.91 | with (213), (214) gives:
% 261.31/66.91 | (216) all_4_90 = all_4_91
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.91 | (217) all_4_91 = n5
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (217) implies:
% 261.31/66.91 | (218) all_4_91 = n5
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (83), (215) imply:
% 261.31/66.91 | (219) pred(n5) = all_4_36
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (46), (218) imply:
% 261.31/66.91 | (220) pred(n5) = all_4_39
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (35), (215) imply:
% 261.31/66.91 | (221) succ(n5) = all_4_38
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (6), (218) imply:
% 261.31/66.91 | (222) succ(n5) = all_4_35
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with n6, all_4_35, n5, simplifying with (78),
% 261.31/66.91 | (222) gives:
% 261.31/66.91 | (223) all_4_35 = n6
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with all_4_38, all_4_35, n5, simplifying with
% 261.31/66.91 | (221), (222) gives:
% 261.31/66.91 | (224) all_4_35 = all_4_38
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with n4, all_4_36, n5, simplifying with (44),
% 261.31/66.91 | (219) gives:
% 261.31/66.91 | (225) all_4_36 = n4
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n5, simplifying with
% 261.31/66.91 | (219), (220) gives:
% 261.31/66.91 | (226) all_4_36 = all_4_39
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.91 | (227) all_4_38 = n6
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.91 | (228) all_4_39 = n4
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (63), (223), (225) imply:
% 261.31/66.91 | (229) sum(n4, n6) = all_4_34
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (87), (225), (227) imply:
% 261.31/66.91 | (230) sum(n4, n6) = all_4_32
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (70), (223), (228) imply:
% 261.31/66.91 | (231) sum(n4, n6) = all_4_33
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (75), (227), (228) imply:
% 261.31/66.91 | (232) sum(n4, n6) = all_4_37
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n10, all_4_33, n6, n4, simplifying with
% 261.31/66.91 | (7), (231) gives:
% 261.31/66.91 | (233) all_4_33 = n10
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_34, all_4_33, n6, n4, simplifying
% 261.31/66.91 | with (229), (231) gives:
% 261.31/66.91 | (234) all_4_33 = all_4_34
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_33, all_4_32, n6, n4, simplifying
% 261.31/66.91 | with (230), (231) gives:
% 261.31/66.91 | (235) all_4_32 = all_4_33
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_37, all_4_32, n6, n4, simplifying
% 261.31/66.91 | with (230), (232) gives:
% 261.31/66.91 | (236) all_4_32 = all_4_37
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.91 | (237) all_4_33 = all_4_37
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (237) implies:
% 261.31/66.91 | (238) all_4_33 = all_4_37
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (233), (234) imply:
% 261.31/66.91 | (239) all_4_34 = n10
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (234), (238) imply:
% 261.31/66.91 | (240) all_4_34 = all_4_37
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (239), (240) imply:
% 261.31/66.91 | (241) all_4_37 = n10
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (236), (241) imply:
% 261.31/66.91 | (242) all_4_32 = n10
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (41), (233), (242) imply:
% 261.31/66.91 | (243) sum(n10, n10) = all_4_88
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (30), (239), (241) imply:
% 261.31/66.91 | (244) sum(n10, n10) = all_4_89
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n9, all_4_88, n10, n10, simplifying with
% 261.31/66.91 | (101), (243) gives:
% 261.31/66.91 | (245) all_4_88 = n9
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_89, all_4_88, n10, n10, simplifying
% 261.31/66.91 | with (243), (244) gives:
% 261.31/66.91 | (246) all_4_88 = all_4_89
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (245), (246) imply:
% 261.31/66.91 | (247) all_4_89 = n9
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (36), (245) imply:
% 261.31/66.91 | (248) pred(n9) = all_4_28
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (47), (247) imply:
% 261.31/66.91 | (249) pred(n9) = all_4_31
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (60), (245) imply:
% 261.31/66.91 | (250) succ(n9) = all_4_30
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (12), (247) imply:
% 261.31/66.91 | (251) succ(n9) = all_4_27
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with n10, all_4_27, n9, simplifying with (19),
% 261.31/66.91 | (251) gives:
% 261.31/66.91 | (252) all_4_27 = n10
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with all_4_30, all_4_27, n9, simplifying with
% 261.31/66.91 | (250), (251) gives:
% 261.31/66.91 | (253) all_4_27 = all_4_30
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with n8, all_4_28, n9, simplifying with (55),
% 261.31/66.91 | (248) gives:
% 261.31/66.91 | (254) all_4_28 = n8
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n9, simplifying with
% 261.31/66.91 | (248), (249) gives:
% 261.31/66.91 | (255) all_4_28 = all_4_31
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (252), (253) imply:
% 261.31/66.91 | (256) all_4_30 = n10
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (254), (255) imply:
% 261.31/66.91 | (257) all_4_31 = n8
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (1), (252), (254) imply:
% 261.31/66.91 | (258) sum(n8, n10) = all_4_26
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (17), (254), (256) imply:
% 261.31/66.91 | (259) sum(n8, n10) = all_4_24
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (27), (252), (257) imply:
% 261.31/66.91 | (260) sum(n8, n10) = all_4_25
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (37), (256), (257) imply:
% 261.31/66.91 | (261) sum(n8, n10) = all_4_29
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n7, all_4_25, n10, n8, simplifying with
% 261.31/66.91 | (38), (260) gives:
% 261.31/66.91 | (262) all_4_25 = n7
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_26, all_4_25, n10, n8, simplifying
% 261.31/66.91 | with (258), (260) gives:
% 261.31/66.91 | (263) all_4_25 = all_4_26
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_25, all_4_24, n10, n8, simplifying
% 261.31/66.91 | with (259), (260) gives:
% 261.31/66.91 | (264) all_4_24 = all_4_25
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_29, all_4_24, n10, n8, simplifying
% 261.31/66.91 | with (259), (261) gives:
% 261.31/66.91 | (265) all_4_24 = all_4_29
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (264), (265) imply:
% 261.31/66.91 | (266) all_4_25 = all_4_29
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (266) implies:
% 261.31/66.91 | (267) all_4_25 = all_4_29
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (262), (263) imply:
% 261.31/66.91 | (268) all_4_26 = n7
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (263), (267) imply:
% 261.31/66.91 | (269) all_4_26 = all_4_29
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (268), (269) imply:
% 261.31/66.91 | (270) all_4_29 = n7
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (265), (270) imply:
% 261.31/66.91 | (271) all_4_24 = n7
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (4), (262), (271) imply:
% 261.31/66.91 | (272) sum(n7, n7) = all_4_86
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (45), (268), (270) imply:
% 261.31/66.91 | (273) sum(n7, n7) = all_4_87
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n3, all_4_86, n7, n7, simplifying with
% 261.31/66.91 | (89), (272) gives:
% 261.31/66.91 | (274) all_4_86 = n3
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_87, all_4_86, n7, n7, simplifying
% 261.31/66.91 | with (272), (273) gives:
% 261.31/66.91 | (275) all_4_86 = all_4_87
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (274), (275) imply:
% 261.31/66.91 | (276) all_4_87 = n3
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (276) implies:
% 261.31/66.91 | (277) all_4_87 = n3
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (34), (274) imply:
% 261.31/66.91 | (278) pred(n3) = all_4_20
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (72), (277) imply:
% 261.31/66.91 | (279) pred(n3) = all_4_23
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (32), (274) imply:
% 261.31/66.91 | (280) succ(n3) = all_4_22
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (3), (277) imply:
% 261.31/66.91 | (281) succ(n3) = all_4_19
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with n4, all_4_19, n3, simplifying with (56),
% 261.31/66.91 | (281) gives:
% 261.31/66.91 | (282) all_4_19 = n4
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (52) with all_4_22, all_4_19, n3, simplifying with
% 261.31/66.91 | (280), (281) gives:
% 261.31/66.91 | (283) all_4_19 = all_4_22
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with n2, all_4_20, n3, simplifying with (59),
% 261.31/66.91 | (278) gives:
% 261.31/66.91 | (284) all_4_20 = n2
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (91) with all_4_23, all_4_20, n3, simplifying with
% 261.31/66.91 | (278), (279) gives:
% 261.31/66.91 | (285) all_4_20 = all_4_23
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (282), (283) imply:
% 261.31/66.91 | (286) all_4_22 = n4
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (284), (285) imply:
% 261.31/66.91 | (287) all_4_23 = n2
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (18), (282), (284) imply:
% 261.31/66.91 | (288) sum(n2, n4) = all_4_18
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (61), (284), (286) imply:
% 261.31/66.91 | (289) sum(n2, n4) = all_4_16
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (10), (282), (287) imply:
% 261.31/66.91 | (290) sum(n2, n4) = all_4_17
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (24), (286), (287) imply:
% 261.31/66.91 | (291) sum(n2, n4) = all_4_21
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n6, all_4_17, n4, n2, simplifying with
% 261.31/66.91 | (25), (290) gives:
% 261.31/66.91 | (292) all_4_17 = n6
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_18, all_4_17, n4, n2, simplifying
% 261.31/66.91 | with (288), (290) gives:
% 261.31/66.91 | (293) all_4_17 = all_4_18
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_17, all_4_16, n4, n2, simplifying
% 261.31/66.91 | with (289), (290) gives:
% 261.31/66.91 | (294) all_4_16 = all_4_17
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_21, all_4_16, n4, n2, simplifying
% 261.31/66.91 | with (289), (291) gives:
% 261.31/66.91 | (295) all_4_16 = all_4_21
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (294), (295) imply:
% 261.31/66.91 | (296) all_4_17 = all_4_21
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (296) implies:
% 261.31/66.91 | (297) all_4_17 = all_4_21
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (292), (293) imply:
% 261.31/66.91 | (298) all_4_18 = n6
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (293), (297) imply:
% 261.31/66.91 | (299) all_4_18 = all_4_21
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (298), (299) imply:
% 261.31/66.91 | (300) all_4_21 = n6
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (295), (300) imply:
% 261.31/66.91 | (301) all_4_16 = n6
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (81), (292), (301) imply:
% 261.31/66.91 | (302) sum(n6, n6) = all_4_84
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (8), (298), (300) imply:
% 261.31/66.91 | (303) sum(n6, n6) = all_4_85
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with n1, all_4_84, n6, n6, simplifying with
% 261.31/66.91 | (76), (302) gives:
% 261.31/66.91 | (304) all_4_84 = n1
% 261.31/66.91 |
% 261.31/66.91 | GROUND_INST: instantiating (71) with all_4_85, all_4_84, n6, n6, simplifying
% 261.31/66.91 | with (302), (303) gives:
% 261.31/66.91 | (305) all_4_84 = all_4_85
% 261.31/66.91 |
% 261.31/66.91 | COMBINE_EQS: (304), (305) imply:
% 261.31/66.91 | (306) all_4_85 = n1
% 261.31/66.91 |
% 261.31/66.91 | SIMP: (306) implies:
% 261.31/66.91 | (307) all_4_85 = n1
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (11), (304), (307) imply:
% 261.31/66.91 | (308) $false
% 261.31/66.91 |
% 261.31/66.91 | CLOSE: (308) is inconsistent.
% 261.31/66.91 |
% 261.31/66.91 End of proof
% 261.31/66.91
% 261.31/66.91 Sub-proof #164 shows that the following formulas are inconsistent:
% 261.31/66.91 ----------------------------------------------------------------
% 261.31/66.91 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.91 (2) succ(all_4_95) = all_4_51
% 261.31/66.91 (3) succ(all_4_87) = all_4_19
% 261.31/66.91 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.91 (5) succ(all_4_91) = all_4_35
% 261.31/66.91 (6) sum(all_4_21, all_4_18) = all_4_85
% 261.31/66.91 (7) succ(all_4_92) = all_4_46
% 261.31/66.91 (8) all_4_99 = n0
% 261.31/66.91 (9) sum(all_4_23, all_4_19) = all_4_17
% 261.31/66.91 (10) ~ (all_4_84 = all_4_85)
% 261.31/66.91 (11) succ(all_4_89) = all_4_27
% 261.31/66.91 (12) pred(all_4_95) = all_4_55
% 261.31/66.91 (13) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.91 (14) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.91 (15) sum(all_4_20, all_4_19) = all_4_18
% 261.31/66.91 (16) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.91 (17) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.91 (18) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.91 (19) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.91 (20) sum(all_4_23, all_4_22) = all_4_21
% 261.31/66.91 (21) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.91 (22) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.91 (23) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.91 (24) succ(all_4_94) = all_4_54
% 261.31/66.91 (25) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.91 (26) sum(n10, n1) = n0
% 261.31/66.91 (27) succ(all_4_86) = all_4_22
% 261.31/66.91 (28) pred(all_4_99) = all_4_71
% 261.31/66.91 (29) pred(all_4_86) = all_4_20
% 261.31/66.91 (30) succ(all_4_90) = all_4_38
% 261.31/66.91 (31) pred(all_4_88) = all_4_28
% 261.31/66.91 (32) all_4_98 = n0
% 261.31/66.91 (33) succ(n0) = n1
% 261.31/66.91 (34) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.91 (35) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.91 (36) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.91 (37) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.91 (38) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.91 (39) pred(all_4_91) = all_4_39
% 261.31/66.91 (40) pred(all_4_89) = all_4_31
% 261.31/66.91 (41) pred(all_4_92) = all_4_44
% 261.31/66.91 (42) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.91 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.91 | ~ (succ(v2) = v0))
% 261.31/66.91 (44) pred(all_4_97) = all_4_63
% 261.31/66.91 (45) succ(all_4_99) = all_4_67
% 261.31/66.91 (46) pred(all_4_96) = all_4_60
% 261.31/66.91 (47) succ(all_4_96) = all_4_62
% 261.31/66.91 (48) succ(all_4_88) = all_4_30
% 261.31/66.91 (49) sum(all_4_20, all_4_22) = all_4_16
% 261.31/66.91 (50) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.91 (51) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.91 (52) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.91 (53) pred(all_4_93) = all_4_47
% 261.31/66.91 (54) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.91 (55) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.91 (56) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.91 (57) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.91 (58) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.91 (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.91 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.91 (60) pred(all_4_87) = all_4_23
% 261.31/66.91 (61) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.91 (62) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.91 (63) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.91 (64) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.91 (65) sum(n0, n0) = all_4_99
% 261.31/66.91 (66) sum(all_4_17, all_4_16) = all_4_84
% 261.31/66.91 (67) succ(all_4_98) = all_4_70
% 261.31/66.91 (68) pred(all_4_90) = all_4_36
% 261.31/66.91 (69) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.91 (70) succ(all_4_97) = all_4_59
% 261.31/66.91 (71) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.91 (72) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.91 (73) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.91 (74) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.91 | ~ (pred(v2) = v0))
% 261.31/66.91 (75) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.91 (76) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.91 (77) succ(all_4_93) = all_4_43
% 261.31/66.91 (78) pred(all_4_98) = all_4_68
% 261.31/66.91 (79) pred(n0) = n10
% 261.31/66.91 (80) pred(all_4_94) = all_4_52
% 261.31/66.91
% 261.31/66.91 Begin of proof
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (32), (78) imply:
% 261.31/66.91 | (81) pred(n0) = all_4_68
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (8), (28) imply:
% 261.31/66.91 | (82) pred(n0) = all_4_71
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (32), (67) imply:
% 261.31/66.91 | (83) succ(n0) = all_4_70
% 261.31/66.91 |
% 261.31/66.91 | REDUCE: (8), (45) imply:
% 261.31/66.91 | (84) succ(n0) = all_4_67
% 261.31/66.91 |
% 261.31/66.91 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 261.31/66.91 | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 261.31/66.91 | (24), (25), (26), (27), (29), (30), (31), (33), (34), (35), (36),
% 261.31/66.91 | (37), (38), (39), (40), (41), (42), (43), (44), (46), (47), (48),
% 261.31/66.91 | (49), (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 261.31/66.91 | (60), (61), (62), (63), (64), (65), (66), (68), (69), (70), (71),
% 261.31/66.91 | (72), (73), (74), (75), (76), (77), (79), (80), (81), (82), (83),
% 261.31/66.91 | (84) are inconsistent by sub-proof #165.
% 261.31/66.91 |
% 261.31/66.91 End of proof
% 261.31/66.91
% 261.31/66.91 Sub-proof #165 shows that the following formulas are inconsistent:
% 261.31/66.91 ----------------------------------------------------------------
% 261.31/66.91 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.91 (2) succ(all_4_95) = all_4_51
% 261.31/66.91 (3) succ(all_4_87) = all_4_19
% 261.31/66.91 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.91 (5) succ(all_4_91) = all_4_35
% 261.31/66.91 (6) sum(all_4_21, all_4_18) = all_4_85
% 261.31/66.91 (7) succ(all_4_92) = all_4_46
% 261.31/66.91 (8) all_4_99 = n0
% 261.31/66.91 (9) sum(all_4_23, all_4_19) = all_4_17
% 261.31/66.91 (10) ~ (all_4_84 = all_4_85)
% 261.31/66.91 (11) succ(all_4_89) = all_4_27
% 261.31/66.91 (12) pred(all_4_95) = all_4_55
% 261.31/66.91 (13) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.91 (14) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.91 (15) sum(all_4_20, all_4_19) = all_4_18
% 261.31/66.91 (16) succ(n0) = all_4_70
% 261.31/66.91 (17) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.91 (18) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.91 (19) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.91 (20) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.91 (21) sum(all_4_23, all_4_22) = all_4_21
% 261.31/66.91 (22) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.91 (23) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.91 (24) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.91 (25) succ(all_4_94) = all_4_54
% 261.31/66.91 (26) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.91 (27) succ(n0) = all_4_67
% 261.31/66.91 (28) sum(n10, n1) = n0
% 261.31/66.91 (29) succ(all_4_86) = all_4_22
% 261.31/66.91 (30) pred(all_4_86) = all_4_20
% 261.31/66.91 (31) succ(all_4_90) = all_4_38
% 261.31/66.91 (32) pred(all_4_88) = all_4_28
% 261.31/66.91 (33) succ(n0) = n1
% 261.31/66.91 (34) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.91 (35) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.91 (36) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.91 (37) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.91 (38) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.91 (39) pred(all_4_91) = all_4_39
% 261.31/66.91 (40) pred(all_4_89) = all_4_31
% 261.31/66.91 (41) pred(all_4_92) = all_4_44
% 261.31/66.92 (42) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.92 (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.92 | ~ (succ(v2) = v0))
% 261.31/66.92 (44) pred(all_4_97) = all_4_63
% 261.31/66.92 (45) pred(all_4_96) = all_4_60
% 261.31/66.92 (46) succ(all_4_96) = all_4_62
% 261.31/66.92 (47) succ(all_4_88) = all_4_30
% 261.31/66.92 (48) sum(all_4_20, all_4_22) = all_4_16
% 261.31/66.92 (49) pred(n0) = all_4_71
% 261.31/66.92 (50) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.92 (51) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.92 (52) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.92 (53) pred(all_4_93) = all_4_47
% 261.31/66.92 (54) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.92 (55) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.92 (56) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.92 (57) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.92 (58) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.92 (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.92 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.92 (60) pred(all_4_87) = all_4_23
% 261.31/66.92 (61) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.92 (62) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.92 (63) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.92 (64) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.92 (65) sum(n0, n0) = all_4_99
% 261.31/66.92 (66) sum(all_4_17, all_4_16) = all_4_84
% 261.31/66.92 (67) pred(all_4_90) = all_4_36
% 261.31/66.92 (68) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.92 (69) succ(all_4_97) = all_4_59
% 261.31/66.92 (70) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.92 (71) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.92 (72) pred(n0) = all_4_68
% 261.31/66.92 (73) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.92 (74) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.92 | ~ (pred(v2) = v0))
% 261.31/66.92 (75) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.92 (76) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.92 (77) succ(all_4_93) = all_4_43
% 261.31/66.92 (78) pred(n0) = n10
% 261.31/66.92 (79) pred(all_4_94) = all_4_52
% 261.31/66.92
% 261.31/66.92 Begin of proof
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (8), (65) imply:
% 261.31/66.92 | (80) sum(n0, n0) = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_67, n0, simplifying with (27),
% 261.31/66.92 | (33) gives:
% 261.31/66.92 | (81) all_4_67 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_70, all_4_67, n0, simplifying with
% 261.31/66.92 | (16), (27) gives:
% 261.31/66.92 | (82) all_4_67 = all_4_70
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_68, n0, simplifying with (72),
% 261.31/66.92 | (78) gives:
% 261.31/66.92 | (83) all_4_68 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_71, all_4_68, n0, simplifying with
% 261.31/66.92 | (49), (72) gives:
% 261.31/66.92 | (84) all_4_68 = all_4_71
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (81), (82) imply:
% 261.31/66.92 | (85) all_4_70 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (83), (84) imply:
% 261.31/66.92 | (86) all_4_71 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (57), (81), (83) imply:
% 261.31/66.92 | (87) sum(n10, n1) = all_4_66
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (68), (83), (85) imply:
% 261.31/66.92 | (88) sum(n10, n1) = all_4_64
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (54), (81), (86) imply:
% 261.31/66.92 | (89) sum(n10, n1) = all_4_65
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (19), (85), (86) imply:
% 261.31/66.92 | (90) sum(n10, n1) = all_4_69
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_65, n1, n10, simplifying with
% 261.31/66.92 | (28), (89) gives:
% 261.31/66.92 | (91) all_4_65 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_66, all_4_65, n1, n10, simplifying
% 261.31/66.92 | with (87), (89) gives:
% 261.31/66.92 | (92) all_4_65 = all_4_66
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_66, all_4_64, n1, n10, simplifying
% 261.31/66.92 | with (87), (88) gives:
% 261.31/66.92 | (93) all_4_64 = all_4_66
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_69, all_4_64, n1, n10, simplifying
% 261.31/66.92 | with (88), (90) gives:
% 261.31/66.92 | (94) all_4_64 = all_4_69
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (93), (94) imply:
% 261.31/66.92 | (95) all_4_66 = all_4_69
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (95) implies:
% 261.31/66.92 | (96) all_4_66 = all_4_69
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (91), (92) imply:
% 261.31/66.92 | (97) all_4_66 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (97) implies:
% 261.31/66.92 | (98) all_4_66 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (96), (98) imply:
% 261.31/66.92 | (99) all_4_69 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (94), (99) imply:
% 261.31/66.92 | (100) all_4_64 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (42), (91), (100) imply:
% 261.31/66.92 | (101) sum(n0, n0) = all_4_96
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (64), (98), (99) imply:
% 261.31/66.92 | (102) sum(n0, n0) = all_4_97
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_96, n0, n0, simplifying with
% 261.31/66.92 | (80), (101) gives:
% 261.31/66.92 | (103) all_4_96 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_97, all_4_96, n0, n0, simplifying
% 261.31/66.92 | with (101), (102) gives:
% 261.31/66.92 | (104) all_4_96 = all_4_97
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (103), (104) imply:
% 261.31/66.92 | (105) all_4_97 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (105) implies:
% 261.31/66.92 | (106) all_4_97 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (45), (103) imply:
% 261.31/66.92 | (107) pred(n0) = all_4_60
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (44), (106) imply:
% 261.31/66.92 | (108) pred(n0) = all_4_63
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (46), (103) imply:
% 261.31/66.92 | (109) succ(n0) = all_4_62
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (69), (106) imply:
% 261.31/66.92 | (110) succ(n0) = all_4_59
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_59, n0, simplifying with (33),
% 261.31/66.92 | (110) gives:
% 261.31/66.92 | (111) all_4_59 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_62, all_4_59, n0, simplifying with
% 261.31/66.92 | (109), (110) gives:
% 261.31/66.92 | (112) all_4_59 = all_4_62
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_60, n0, simplifying with (78),
% 261.31/66.92 | (107) gives:
% 261.31/66.92 | (113) all_4_60 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_63, all_4_60, n0, simplifying with
% 261.31/66.92 | (107), (108) gives:
% 261.31/66.92 | (114) all_4_60 = all_4_63
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (111), (112) imply:
% 261.31/66.92 | (115) all_4_62 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (113), (114) imply:
% 261.31/66.92 | (116) all_4_63 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (55), (111), (113) imply:
% 261.31/66.92 | (117) sum(n10, n1) = all_4_58
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (18), (113), (115) imply:
% 261.31/66.92 | (118) sum(n10, n1) = all_4_56
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (22), (111), (116) imply:
% 261.31/66.92 | (119) sum(n10, n1) = all_4_57
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (24), (115), (116) imply:
% 261.31/66.92 | (120) sum(n10, n1) = all_4_61
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_57, n1, n10, simplifying with
% 261.31/66.92 | (28), (119) gives:
% 261.31/66.92 | (121) all_4_57 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_58, all_4_57, n1, n10, simplifying
% 261.31/66.92 | with (117), (119) gives:
% 261.31/66.92 | (122) all_4_57 = all_4_58
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_57, all_4_56, n1, n10, simplifying
% 261.31/66.92 | with (118), (119) gives:
% 261.31/66.92 | (123) all_4_56 = all_4_57
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_61, all_4_56, n1, n10, simplifying
% 261.31/66.92 | with (118), (120) gives:
% 261.31/66.92 | (124) all_4_56 = all_4_61
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (123), (124) imply:
% 261.31/66.92 | (125) all_4_57 = all_4_61
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (125) implies:
% 261.31/66.92 | (126) all_4_57 = all_4_61
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (121), (122) imply:
% 261.31/66.92 | (127) all_4_58 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (122), (126) imply:
% 261.31/66.92 | (128) all_4_58 = all_4_61
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (127), (128) imply:
% 261.31/66.92 | (129) all_4_61 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (124), (129) imply:
% 261.31/66.92 | (130) all_4_56 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (35), (121), (130) imply:
% 261.31/66.92 | (131) sum(n0, n0) = all_4_94
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (71), (127), (129) imply:
% 261.31/66.92 | (132) sum(n0, n0) = all_4_95
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_94, n0, n0, simplifying with
% 261.31/66.92 | (80), (131) gives:
% 261.31/66.92 | (133) all_4_94 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_95, all_4_94, n0, n0, simplifying
% 261.31/66.92 | with (131), (132) gives:
% 261.31/66.92 | (134) all_4_94 = all_4_95
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (133), (134) imply:
% 261.31/66.92 | (135) all_4_95 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (79), (133) imply:
% 261.31/66.92 | (136) pred(n0) = all_4_52
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (12), (135) imply:
% 261.31/66.92 | (137) pred(n0) = all_4_55
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (25), (133) imply:
% 261.31/66.92 | (138) succ(n0) = all_4_54
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (2), (135) imply:
% 261.31/66.92 | (139) succ(n0) = all_4_51
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_51, n0, simplifying with (33),
% 261.31/66.92 | (139) gives:
% 261.31/66.92 | (140) all_4_51 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_54, all_4_51, n0, simplifying with
% 261.31/66.92 | (138), (139) gives:
% 261.31/66.92 | (141) all_4_51 = all_4_54
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_52, n0, simplifying with (78),
% 261.31/66.92 | (136) gives:
% 261.31/66.92 | (142) all_4_52 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_55, all_4_52, n0, simplifying with
% 261.31/66.92 | (136), (137) gives:
% 261.31/66.92 | (143) all_4_52 = all_4_55
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (140), (141) imply:
% 261.31/66.92 | (144) all_4_54 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (142), (143) imply:
% 261.31/66.92 | (145) all_4_55 = n10
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (145) implies:
% 261.31/66.92 | (146) all_4_55 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (75), (140), (142) imply:
% 261.31/66.92 | (147) sum(n10, n1) = all_4_50
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (17), (142), (144) imply:
% 261.31/66.92 | (148) sum(n10, n1) = all_4_48
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (50), (140), (146) imply:
% 261.31/66.92 | (149) sum(n10, n1) = all_4_49
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (20), (144), (146) imply:
% 261.31/66.92 | (150) sum(n10, n1) = all_4_53
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_49, n1, n10, simplifying with
% 261.31/66.92 | (28), (149) gives:
% 261.31/66.92 | (151) all_4_49 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_50, all_4_49, n1, n10, simplifying
% 261.31/66.92 | with (147), (149) gives:
% 261.31/66.92 | (152) all_4_49 = all_4_50
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_49, all_4_48, n1, n10, simplifying
% 261.31/66.92 | with (148), (149) gives:
% 261.31/66.92 | (153) all_4_48 = all_4_49
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_53, all_4_48, n1, n10, simplifying
% 261.31/66.92 | with (148), (150) gives:
% 261.31/66.92 | (154) all_4_48 = all_4_53
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (153), (154) imply:
% 261.31/66.92 | (155) all_4_49 = all_4_53
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (155) implies:
% 261.31/66.92 | (156) all_4_49 = all_4_53
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (151), (152) imply:
% 261.31/66.92 | (157) all_4_50 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (152), (156) imply:
% 261.31/66.92 | (158) all_4_50 = all_4_53
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (157), (158) imply:
% 261.31/66.92 | (159) all_4_53 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (154), (159) imply:
% 261.31/66.92 | (160) all_4_48 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (73), (151), (160) imply:
% 261.31/66.92 | (161) sum(n0, n0) = all_4_92
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (76), (157), (159) imply:
% 261.31/66.92 | (162) sum(n0, n0) = all_4_93
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_92, n0, n0, simplifying with
% 261.31/66.92 | (80), (161) gives:
% 261.31/66.92 | (163) all_4_92 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_93, all_4_92, n0, n0, simplifying
% 261.31/66.92 | with (161), (162) gives:
% 261.31/66.92 | (164) all_4_92 = all_4_93
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (163), (164) imply:
% 261.31/66.92 | (165) all_4_93 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (165) implies:
% 261.31/66.92 | (166) all_4_93 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (41), (163) imply:
% 261.31/66.92 | (167) pred(n0) = all_4_44
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (53), (166) imply:
% 261.31/66.92 | (168) pred(n0) = all_4_47
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (7), (163) imply:
% 261.31/66.92 | (169) succ(n0) = all_4_46
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (77), (166) imply:
% 261.31/66.92 | (170) succ(n0) = all_4_43
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_43, n0, simplifying with (33),
% 261.31/66.92 | (170) gives:
% 261.31/66.92 | (171) all_4_43 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_46, all_4_43, n0, simplifying with
% 261.31/66.92 | (169), (170) gives:
% 261.31/66.92 | (172) all_4_43 = all_4_46
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_44, n0, simplifying with (78),
% 261.31/66.92 | (167) gives:
% 261.31/66.92 | (173) all_4_44 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_47, all_4_44, n0, simplifying with
% 261.31/66.92 | (167), (168) gives:
% 261.31/66.92 | (174) all_4_44 = all_4_47
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (171), (172) imply:
% 261.31/66.92 | (175) all_4_46 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (173), (174) imply:
% 261.31/66.92 | (176) all_4_47 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (63), (171), (173) imply:
% 261.31/66.92 | (177) sum(n10, n1) = all_4_42
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (13), (173), (175) imply:
% 261.31/66.92 | (178) sum(n10, n1) = all_4_40
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (37), (171), (176) imply:
% 261.31/66.92 | (179) sum(n10, n1) = all_4_41
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (52), (175), (176) imply:
% 261.31/66.92 | (180) sum(n10, n1) = all_4_45
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_41, n1, n10, simplifying with
% 261.31/66.92 | (28), (179) gives:
% 261.31/66.92 | (181) all_4_41 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_42, all_4_41, n1, n10, simplifying
% 261.31/66.92 | with (177), (179) gives:
% 261.31/66.92 | (182) all_4_41 = all_4_42
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_41, all_4_40, n1, n10, simplifying
% 261.31/66.92 | with (178), (179) gives:
% 261.31/66.92 | (183) all_4_40 = all_4_41
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_45, all_4_40, n1, n10, simplifying
% 261.31/66.92 | with (178), (180) gives:
% 261.31/66.92 | (184) all_4_40 = all_4_45
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (183), (184) imply:
% 261.31/66.92 | (185) all_4_41 = all_4_45
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (185) implies:
% 261.31/66.92 | (186) all_4_41 = all_4_45
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (181), (182) imply:
% 261.31/66.92 | (187) all_4_42 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (182), (186) imply:
% 261.31/66.92 | (188) all_4_42 = all_4_45
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (187), (188) imply:
% 261.31/66.92 | (189) all_4_45 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (189) implies:
% 261.31/66.92 | (190) all_4_45 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (184), (190) imply:
% 261.31/66.92 | (191) all_4_40 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (56), (181), (191) imply:
% 261.31/66.92 | (192) sum(n0, n0) = all_4_90
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (61), (187), (190) imply:
% 261.31/66.92 | (193) sum(n0, n0) = all_4_91
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_90, n0, n0, simplifying with
% 261.31/66.92 | (80), (192) gives:
% 261.31/66.92 | (194) all_4_90 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_91, all_4_90, n0, n0, simplifying
% 261.31/66.92 | with (192), (193) gives:
% 261.31/66.92 | (195) all_4_90 = all_4_91
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.92 | (196) all_4_91 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (196) implies:
% 261.31/66.92 | (197) all_4_91 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (67), (194) imply:
% 261.31/66.92 | (198) pred(n0) = all_4_36
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (39), (197) imply:
% 261.31/66.92 | (199) pred(n0) = all_4_39
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (31), (194) imply:
% 261.31/66.92 | (200) succ(n0) = all_4_38
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (5), (197) imply:
% 261.31/66.92 | (201) succ(n0) = all_4_35
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_35, n0, simplifying with (33),
% 261.31/66.92 | (201) gives:
% 261.31/66.92 | (202) all_4_35 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_38, all_4_35, n0, simplifying with
% 261.31/66.92 | (200), (201) gives:
% 261.31/66.92 | (203) all_4_35 = all_4_38
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_36, n0, simplifying with (78),
% 261.31/66.92 | (198) gives:
% 261.31/66.92 | (204) all_4_36 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_39, all_4_36, n0, simplifying with
% 261.31/66.92 | (198), (199) gives:
% 261.31/66.92 | (205) all_4_36 = all_4_39
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (202), (203) imply:
% 261.31/66.92 | (206) all_4_38 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (204), (205) imply:
% 261.31/66.92 | (207) all_4_39 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (51), (202), (204) imply:
% 261.31/66.92 | (208) sum(n10, n1) = all_4_34
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (70), (204), (206) imply:
% 261.31/66.92 | (209) sum(n10, n1) = all_4_32
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (58), (202), (207) imply:
% 261.31/66.92 | (210) sum(n10, n1) = all_4_33
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (62), (206), (207) imply:
% 261.31/66.92 | (211) sum(n10, n1) = all_4_37
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_33, n1, n10, simplifying with
% 261.31/66.92 | (28), (210) gives:
% 261.31/66.92 | (212) all_4_33 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_34, all_4_33, n1, n10, simplifying
% 261.31/66.92 | with (208), (210) gives:
% 261.31/66.92 | (213) all_4_33 = all_4_34
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_33, all_4_32, n1, n10, simplifying
% 261.31/66.92 | with (209), (210) gives:
% 261.31/66.92 | (214) all_4_32 = all_4_33
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_37, all_4_32, n1, n10, simplifying
% 261.31/66.92 | with (209), (211) gives:
% 261.31/66.92 | (215) all_4_32 = all_4_37
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (214), (215) imply:
% 261.31/66.92 | (216) all_4_33 = all_4_37
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (216) implies:
% 261.31/66.92 | (217) all_4_33 = all_4_37
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (212), (213) imply:
% 261.31/66.92 | (218) all_4_34 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (213), (217) imply:
% 261.31/66.92 | (219) all_4_34 = all_4_37
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (218), (219) imply:
% 261.31/66.92 | (220) all_4_37 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (215), (220) imply:
% 261.31/66.92 | (221) all_4_32 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (36), (212), (221) imply:
% 261.31/66.92 | (222) sum(n0, n0) = all_4_88
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (26), (218), (220) imply:
% 261.31/66.92 | (223) sum(n0, n0) = all_4_89
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_88, n0, n0, simplifying with
% 261.31/66.92 | (80), (222) gives:
% 261.31/66.92 | (224) all_4_88 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_89, all_4_88, n0, n0, simplifying
% 261.31/66.92 | with (222), (223) gives:
% 261.31/66.92 | (225) all_4_88 = all_4_89
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (224), (225) imply:
% 261.31/66.92 | (226) all_4_89 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (32), (224) imply:
% 261.31/66.92 | (227) pred(n0) = all_4_28
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (40), (226) imply:
% 261.31/66.92 | (228) pred(n0) = all_4_31
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (47), (224) imply:
% 261.31/66.92 | (229) succ(n0) = all_4_30
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (11), (226) imply:
% 261.31/66.92 | (230) succ(n0) = all_4_27
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_27, n0, simplifying with (33),
% 261.31/66.92 | (230) gives:
% 261.31/66.92 | (231) all_4_27 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_30, all_4_27, n0, simplifying with
% 261.31/66.92 | (229), (230) gives:
% 261.31/66.92 | (232) all_4_27 = all_4_30
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_28, n0, simplifying with (78),
% 261.31/66.92 | (227) gives:
% 261.31/66.92 | (233) all_4_28 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_31, all_4_28, n0, simplifying with
% 261.31/66.92 | (227), (228) gives:
% 261.31/66.92 | (234) all_4_28 = all_4_31
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (231), (232) imply:
% 261.31/66.92 | (235) all_4_30 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (233), (234) imply:
% 261.31/66.92 | (236) all_4_31 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (1), (231), (233) imply:
% 261.31/66.92 | (237) sum(n10, n1) = all_4_26
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (14), (233), (235) imply:
% 261.31/66.92 | (238) sum(n10, n1) = all_4_24
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (23), (231), (236) imply:
% 261.31/66.92 | (239) sum(n10, n1) = all_4_25
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (34), (235), (236) imply:
% 261.31/66.92 | (240) sum(n10, n1) = all_4_29
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_25, n1, n10, simplifying with
% 261.31/66.92 | (28), (239) gives:
% 261.31/66.92 | (241) all_4_25 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_26, all_4_25, n1, n10, simplifying
% 261.31/66.92 | with (237), (239) gives:
% 261.31/66.92 | (242) all_4_25 = all_4_26
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_25, all_4_24, n1, n10, simplifying
% 261.31/66.92 | with (238), (239) gives:
% 261.31/66.92 | (243) all_4_24 = all_4_25
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_29, all_4_24, n1, n10, simplifying
% 261.31/66.92 | with (238), (240) gives:
% 261.31/66.92 | (244) all_4_24 = all_4_29
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (243), (244) imply:
% 261.31/66.92 | (245) all_4_25 = all_4_29
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (245) implies:
% 261.31/66.92 | (246) all_4_25 = all_4_29
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (241), (242) imply:
% 261.31/66.92 | (247) all_4_26 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (242), (246) imply:
% 261.31/66.92 | (248) all_4_26 = all_4_29
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (247), (248) imply:
% 261.31/66.92 | (249) all_4_29 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (244), (249) imply:
% 261.31/66.92 | (250) all_4_24 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (4), (241), (250) imply:
% 261.31/66.92 | (251) sum(n0, n0) = all_4_86
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (38), (247), (249) imply:
% 261.31/66.92 | (252) sum(n0, n0) = all_4_87
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_86, n0, n0, simplifying with
% 261.31/66.92 | (80), (251) gives:
% 261.31/66.92 | (253) all_4_86 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_87, all_4_86, n0, n0, simplifying
% 261.31/66.92 | with (251), (252) gives:
% 261.31/66.92 | (254) all_4_86 = all_4_87
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (253), (254) imply:
% 261.31/66.92 | (255) all_4_87 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (255) implies:
% 261.31/66.92 | (256) all_4_87 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (30), (253) imply:
% 261.31/66.92 | (257) pred(n0) = all_4_20
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (60), (256) imply:
% 261.31/66.92 | (258) pred(n0) = all_4_23
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (29), (253) imply:
% 261.31/66.92 | (259) succ(n0) = all_4_22
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (3), (256) imply:
% 261.31/66.92 | (260) succ(n0) = all_4_19
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with n1, all_4_19, n0, simplifying with (33),
% 261.31/66.92 | (260) gives:
% 261.31/66.92 | (261) all_4_19 = n1
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (43) with all_4_22, all_4_19, n0, simplifying with
% 261.31/66.92 | (259), (260) gives:
% 261.31/66.92 | (262) all_4_19 = all_4_22
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with n10, all_4_20, n0, simplifying with (78),
% 261.31/66.92 | (257) gives:
% 261.31/66.92 | (263) all_4_20 = n10
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (74) with all_4_23, all_4_20, n0, simplifying with
% 261.31/66.92 | (257), (258) gives:
% 261.31/66.92 | (264) all_4_20 = all_4_23
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (261), (262) imply:
% 261.31/66.92 | (265) all_4_22 = n1
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (263), (264) imply:
% 261.31/66.92 | (266) all_4_23 = n10
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (15), (261), (263) imply:
% 261.31/66.92 | (267) sum(n10, n1) = all_4_18
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (48), (263), (265) imply:
% 261.31/66.92 | (268) sum(n10, n1) = all_4_16
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (9), (261), (266) imply:
% 261.31/66.92 | (269) sum(n10, n1) = all_4_17
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (21), (265), (266) imply:
% 261.31/66.92 | (270) sum(n10, n1) = all_4_21
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_17, n1, n10, simplifying with
% 261.31/66.92 | (28), (269) gives:
% 261.31/66.92 | (271) all_4_17 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_18, all_4_17, n1, n10, simplifying
% 261.31/66.92 | with (267), (269) gives:
% 261.31/66.92 | (272) all_4_17 = all_4_18
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_17, all_4_16, n1, n10, simplifying
% 261.31/66.92 | with (268), (269) gives:
% 261.31/66.92 | (273) all_4_16 = all_4_17
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_21, all_4_16, n1, n10, simplifying
% 261.31/66.92 | with (268), (270) gives:
% 261.31/66.92 | (274) all_4_16 = all_4_21
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (273), (274) imply:
% 261.31/66.92 | (275) all_4_17 = all_4_21
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (275) implies:
% 261.31/66.92 | (276) all_4_17 = all_4_21
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (271), (272) imply:
% 261.31/66.92 | (277) all_4_18 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (272), (276) imply:
% 261.31/66.92 | (278) all_4_18 = all_4_21
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (277), (278) imply:
% 261.31/66.92 | (279) all_4_21 = n0
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (274), (279) imply:
% 261.31/66.92 | (280) all_4_16 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (66), (271), (280) imply:
% 261.31/66.92 | (281) sum(n0, n0) = all_4_84
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (6), (277), (279) imply:
% 261.31/66.92 | (282) sum(n0, n0) = all_4_85
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with n0, all_4_84, n0, n0, simplifying with
% 261.31/66.92 | (80), (281) gives:
% 261.31/66.92 | (283) all_4_84 = n0
% 261.31/66.92 |
% 261.31/66.92 | GROUND_INST: instantiating (59) with all_4_85, all_4_84, n0, n0, simplifying
% 261.31/66.92 | with (281), (282) gives:
% 261.31/66.92 | (284) all_4_84 = all_4_85
% 261.31/66.92 |
% 261.31/66.92 | COMBINE_EQS: (283), (284) imply:
% 261.31/66.92 | (285) all_4_85 = n0
% 261.31/66.92 |
% 261.31/66.92 | SIMP: (285) implies:
% 261.31/66.92 | (286) all_4_85 = n0
% 261.31/66.92 |
% 261.31/66.92 | REDUCE: (10), (283), (286) imply:
% 261.31/66.92 | (287) $false
% 261.31/66.92 |
% 261.31/66.92 | CLOSE: (287) is inconsistent.
% 261.31/66.92 |
% 261.31/66.92 End of proof
% 261.31/66.92
% 261.31/66.92 Sub-proof #166 shows that the following formulas are inconsistent:
% 261.31/66.92 ----------------------------------------------------------------
% 261.31/66.92 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.92 (2) succ(all_4_95) = all_4_51
% 261.31/66.92 (3) succ(all_4_87) = all_4_19
% 261.31/66.92 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.92 (5) succ(all_4_91) = all_4_35
% 261.31/66.92 (6) sum(all_4_21, all_4_18) = all_4_85
% 261.31/66.92 (7) succ(all_4_92) = all_4_46
% 261.31/66.92 (8) sum(all_4_23, all_4_19) = all_4_17
% 261.31/66.92 (9) ~ (all_4_84 = all_4_85)
% 261.31/66.92 (10) succ(all_4_89) = all_4_27
% 261.31/66.92 (11) pred(all_4_95) = all_4_55
% 261.31/66.92 (12) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.92 (13) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.92 (14) sum(all_4_20, all_4_19) = all_4_18
% 261.31/66.92 (15) sum(n9, n0) = n9
% 261.31/66.92 (16) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.92 (17) sum(n3, n3) = n6
% 261.31/66.92 (18) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.92 (19) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.92 (20) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.92 (21) sum(all_4_23, all_4_22) = all_4_21
% 261.31/66.92 (22) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.92 (23) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.93 (24) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.93 (25) succ(all_4_94) = all_4_54
% 261.31/66.93 (26) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.93 (27) succ(all_4_86) = all_4_22
% 261.31/66.93 (28) pred(n8) = n7
% 261.31/66.93 (29) pred(all_4_99) = all_4_71
% 261.31/66.93 (30) pred(all_4_86) = all_4_20
% 261.31/66.93 (31) succ(all_4_90) = all_4_38
% 261.31/66.93 (32) sum(n6, n8) = n3
% 261.31/66.93 (33) pred(all_4_88) = all_4_28
% 261.31/66.93 (34) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.93 (35) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.93 (36) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.93 (37) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.93 (38) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.93 (39) pred(all_4_91) = all_4_39
% 261.31/66.93 (40) pred(all_4_89) = all_4_31
% 261.31/66.93 (41) pred(all_4_92) = all_4_44
% 261.31/66.93 (42) sum(n5, n7) = n1
% 261.31/66.93 (43) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.93 (44) succ(n10) = n0
% 261.31/66.93 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.93 | ~ (succ(v2) = v0))
% 261.31/66.93 (46) pred(all_4_97) = all_4_63
% 261.31/66.93 (47) succ(all_4_99) = all_4_67
% 261.31/66.93 (48) pred(n6) = n5
% 261.31/66.93 (49) pred(all_4_96) = all_4_60
% 261.31/66.93 (50) succ(all_4_96) = all_4_62
% 261.31/66.93 (51) succ(all_4_88) = all_4_30
% 261.31/66.93 (52) all_4_98 = n2
% 261.31/66.93 (53) sum(all_4_20, all_4_22) = all_4_16
% 261.31/66.93 (54) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.93 (55) pred(n7) = n6
% 261.31/66.93 (56) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.93 (57) succ(n7) = n8
% 261.31/66.93 (58) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.93 (59) pred(all_4_93) = all_4_47
% 261.31/66.93 (60) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.93 (61) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.93 (62) sum(n5, n5) = n10
% 261.31/66.93 (63) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.93 (64) succ(n2) = n3
% 261.31/66.93 (65) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.93 (66) succ(n6) = n7
% 261.31/66.93 (67) succ(n8) = n9
% 261.31/66.93 (68) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.93 (69) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.93 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.93 (70) pred(all_4_87) = all_4_23
% 261.31/66.93 (71) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.93 (72) sum(n9, n9) = n7
% 261.31/66.93 (73) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.93 (74) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.93 (75) sum(n1, n1) = all_4_99
% 261.31/66.93 (76) pred(n10) = n9
% 261.31/66.93 (77) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.93 (78) sum(n7, n9) = n5
% 261.31/66.93 (79) sum(all_4_17, all_4_16) = all_4_84
% 261.31/66.93 (80) all_4_99 = n2
% 261.31/66.93 (81) pred(n2) = n1
% 261.31/66.93 (82) succ(all_4_98) = all_4_70
% 261.31/66.93 (83) pred(all_4_90) = all_4_36
% 261.31/66.93 (84) sum(n4, n4) = n8
% 261.31/66.93 (85) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.93 (86) succ(all_4_97) = all_4_59
% 261.31/66.93 (87) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.93 (88) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.93 (89) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.93 (90) sum(n1, n3) = n4
% 261.31/66.93 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.93 | ~ (pred(v2) = v0))
% 261.31/66.93 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.93 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.93 (94) succ(all_4_93) = all_4_43
% 261.31/66.93 (95) pred(all_4_98) = all_4_68
% 261.31/66.93 (96) pred(all_4_94) = all_4_52
% 261.31/66.93
% 261.31/66.93 Begin of proof
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (52), (95) imply:
% 261.31/66.93 | (97) pred(n2) = all_4_68
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (29), (80) imply:
% 261.31/66.93 | (98) pred(n2) = all_4_71
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (52), (82) imply:
% 261.31/66.93 | (99) succ(n2) = all_4_70
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (47), (80) imply:
% 261.31/66.93 | (100) succ(n2) = all_4_67
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (75), (80) imply:
% 261.31/66.93 | (101) sum(n1, n1) = n2
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n3, all_4_67, n2, simplifying with (64),
% 261.31/66.93 | (100) gives:
% 261.31/66.93 | (102) all_4_67 = n3
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_70, all_4_67, n2, simplifying with
% 261.31/66.93 | (99), (100) gives:
% 261.31/66.93 | (103) all_4_67 = all_4_70
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n1, all_4_68, n2, simplifying with (81),
% 261.31/66.93 | (97) gives:
% 261.31/66.93 | (104) all_4_68 = n1
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n2, simplifying with
% 261.31/66.93 | (97), (98) gives:
% 261.31/66.93 | (105) all_4_68 = all_4_71
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.93 | (106) all_4_70 = n3
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.93 | (107) all_4_71 = n1
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (65), (102), (104) imply:
% 261.31/66.93 | (108) sum(n1, n3) = all_4_66
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (85), (104), (106) imply:
% 261.31/66.93 | (109) sum(n1, n3) = all_4_64
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (60), (102), (107) imply:
% 261.31/66.93 | (110) sum(n1, n3) = all_4_65
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (19), (106), (107) imply:
% 261.31/66.93 | (111) sum(n1, n3) = all_4_69
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n4, all_4_65, n3, n1, simplifying with
% 261.31/66.93 | (90), (110) gives:
% 261.31/66.93 | (112) all_4_65 = n4
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_66, all_4_65, n3, n1, simplifying
% 261.31/66.93 | with (108), (110) gives:
% 261.31/66.93 | (113) all_4_65 = all_4_66
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_66, all_4_64, n3, n1, simplifying
% 261.31/66.93 | with (108), (109) gives:
% 261.31/66.93 | (114) all_4_64 = all_4_66
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_69, all_4_64, n3, n1, simplifying
% 261.31/66.93 | with (109), (111) gives:
% 261.31/66.93 | (115) all_4_64 = all_4_69
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.93 | (116) all_4_66 = all_4_69
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (116) implies:
% 261.31/66.93 | (117) all_4_66 = all_4_69
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (112), (113) imply:
% 261.31/66.93 | (118) all_4_66 = n4
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (118) implies:
% 261.31/66.93 | (119) all_4_66 = n4
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (117), (119) imply:
% 261.31/66.93 | (120) all_4_69 = n4
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (115), (120) imply:
% 261.31/66.93 | (121) all_4_64 = n4
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (43), (112), (121) imply:
% 261.31/66.93 | (122) sum(n4, n4) = all_4_96
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (77), (119), (120) imply:
% 261.31/66.93 | (123) sum(n4, n4) = all_4_97
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n8, all_4_96, n4, n4, simplifying with
% 261.31/66.93 | (84), (122) gives:
% 261.31/66.93 | (124) all_4_96 = n8
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_97, all_4_96, n4, n4, simplifying
% 261.31/66.93 | with (122), (123) gives:
% 261.31/66.93 | (125) all_4_96 = all_4_97
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.93 | (126) all_4_97 = n8
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (126) implies:
% 261.31/66.93 | (127) all_4_97 = n8
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (49), (124) imply:
% 261.31/66.93 | (128) pred(n8) = all_4_60
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (46), (127) imply:
% 261.31/66.93 | (129) pred(n8) = all_4_63
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (50), (124) imply:
% 261.31/66.93 | (130) succ(n8) = all_4_62
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (86), (127) imply:
% 261.31/66.93 | (131) succ(n8) = all_4_59
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n9, all_4_59, n8, simplifying with (67),
% 261.31/66.93 | (131) gives:
% 261.31/66.93 | (132) all_4_59 = n9
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_62, all_4_59, n8, simplifying with
% 261.31/66.93 | (130), (131) gives:
% 261.31/66.93 | (133) all_4_59 = all_4_62
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n7, all_4_60, n8, simplifying with (28),
% 261.31/66.93 | (128) gives:
% 261.31/66.93 | (134) all_4_60 = n7
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n8, simplifying with
% 261.31/66.93 | (128), (129) gives:
% 261.31/66.93 | (135) all_4_60 = all_4_63
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.93 | (136) all_4_62 = n9
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.93 | (137) all_4_63 = n7
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (61), (132), (134) imply:
% 261.31/66.93 | (138) sum(n7, n9) = all_4_58
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (18), (134), (136) imply:
% 261.31/66.93 | (139) sum(n7, n9) = all_4_56
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (22), (132), (137) imply:
% 261.31/66.93 | (140) sum(n7, n9) = all_4_57
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (24), (136), (137) imply:
% 261.31/66.93 | (141) sum(n7, n9) = all_4_61
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n5, all_4_57, n9, n7, simplifying with
% 261.31/66.93 | (78), (140) gives:
% 261.31/66.93 | (142) all_4_57 = n5
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_58, all_4_57, n9, n7, simplifying
% 261.31/66.93 | with (138), (140) gives:
% 261.31/66.93 | (143) all_4_57 = all_4_58
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_57, all_4_56, n9, n7, simplifying
% 261.31/66.93 | with (139), (140) gives:
% 261.31/66.93 | (144) all_4_56 = all_4_57
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_61, all_4_56, n9, n7, simplifying
% 261.31/66.93 | with (139), (141) gives:
% 261.31/66.93 | (145) all_4_56 = all_4_61
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.93 | (146) all_4_57 = all_4_61
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (146) implies:
% 261.31/66.93 | (147) all_4_57 = all_4_61
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (142), (143) imply:
% 261.31/66.93 | (148) all_4_58 = n5
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (143), (147) imply:
% 261.31/66.93 | (149) all_4_58 = all_4_61
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (148), (149) imply:
% 261.31/66.93 | (150) all_4_61 = n5
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (145), (150) imply:
% 261.31/66.93 | (151) all_4_56 = n5
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (35), (142), (151) imply:
% 261.31/66.93 | (152) sum(n5, n5) = all_4_94
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (88), (148), (150) imply:
% 261.31/66.93 | (153) sum(n5, n5) = all_4_95
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n10, all_4_94, n5, n5, simplifying with
% 261.31/66.93 | (62), (152) gives:
% 261.31/66.93 | (154) all_4_94 = n10
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_95, all_4_94, n5, n5, simplifying
% 261.31/66.93 | with (152), (153) gives:
% 261.31/66.93 | (155) all_4_94 = all_4_95
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (154), (155) imply:
% 261.31/66.93 | (156) all_4_95 = n10
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (96), (154) imply:
% 261.31/66.93 | (157) pred(n10) = all_4_52
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (11), (156) imply:
% 261.31/66.93 | (158) pred(n10) = all_4_55
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (25), (154) imply:
% 261.31/66.93 | (159) succ(n10) = all_4_54
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (2), (156) imply:
% 261.31/66.93 | (160) succ(n10) = all_4_51
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n0, all_4_51, n10, simplifying with (44),
% 261.31/66.93 | (160) gives:
% 261.31/66.93 | (161) all_4_51 = n0
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_54, all_4_51, n10, simplifying with
% 261.31/66.93 | (159), (160) gives:
% 261.31/66.93 | (162) all_4_51 = all_4_54
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n9, all_4_52, n10, simplifying with (76),
% 261.31/66.93 | (157) gives:
% 261.31/66.93 | (163) all_4_52 = n9
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n10, simplifying with
% 261.31/66.93 | (157), (158) gives:
% 261.31/66.93 | (164) all_4_52 = all_4_55
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (161), (162) imply:
% 261.31/66.93 | (165) all_4_54 = n0
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (163), (164) imply:
% 261.31/66.93 | (166) all_4_55 = n9
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (166) implies:
% 261.31/66.93 | (167) all_4_55 = n9
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (92), (161), (163) imply:
% 261.31/66.93 | (168) sum(n9, n0) = all_4_50
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (16), (163), (165) imply:
% 261.31/66.93 | (169) sum(n9, n0) = all_4_48
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (54), (161), (167) imply:
% 261.31/66.93 | (170) sum(n9, n0) = all_4_49
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (20), (165), (167) imply:
% 261.31/66.93 | (171) sum(n9, n0) = all_4_53
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n9, all_4_49, n0, n9, simplifying with
% 261.31/66.93 | (15), (170) gives:
% 261.31/66.93 | (172) all_4_49 = n9
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_50, all_4_49, n0, n9, simplifying
% 261.31/66.93 | with (168), (170) gives:
% 261.31/66.93 | (173) all_4_49 = all_4_50
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_49, all_4_48, n0, n9, simplifying
% 261.31/66.93 | with (169), (170) gives:
% 261.31/66.93 | (174) all_4_48 = all_4_49
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_53, all_4_48, n0, n9, simplifying
% 261.31/66.93 | with (169), (171) gives:
% 261.31/66.93 | (175) all_4_48 = all_4_53
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.93 | (176) all_4_49 = all_4_53
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (176) implies:
% 261.31/66.93 | (177) all_4_49 = all_4_53
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (172), (173) imply:
% 261.31/66.93 | (178) all_4_50 = n9
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (173), (177) imply:
% 261.31/66.93 | (179) all_4_50 = all_4_53
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (178), (179) imply:
% 261.31/66.93 | (180) all_4_53 = n9
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (175), (180) imply:
% 261.31/66.93 | (181) all_4_48 = n9
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (89), (172), (181) imply:
% 261.31/66.93 | (182) sum(n9, n9) = all_4_92
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (93), (178), (180) imply:
% 261.31/66.93 | (183) sum(n9, n9) = all_4_93
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n7, all_4_92, n9, n9, simplifying with
% 261.31/66.93 | (72), (182) gives:
% 261.31/66.93 | (184) all_4_92 = n7
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_93, all_4_92, n9, n9, simplifying
% 261.31/66.93 | with (182), (183) gives:
% 261.31/66.93 | (185) all_4_92 = all_4_93
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.93 | (186) all_4_93 = n7
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (186) implies:
% 261.31/66.93 | (187) all_4_93 = n7
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (41), (184) imply:
% 261.31/66.93 | (188) pred(n7) = all_4_44
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (59), (187) imply:
% 261.31/66.93 | (189) pred(n7) = all_4_47
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (7), (184) imply:
% 261.31/66.93 | (190) succ(n7) = all_4_46
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (94), (187) imply:
% 261.31/66.93 | (191) succ(n7) = all_4_43
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n8, all_4_43, n7, simplifying with (57),
% 261.31/66.93 | (191) gives:
% 261.31/66.93 | (192) all_4_43 = n8
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_46, all_4_43, n7, simplifying with
% 261.31/66.93 | (190), (191) gives:
% 261.31/66.93 | (193) all_4_43 = all_4_46
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n6, all_4_44, n7, simplifying with (55),
% 261.31/66.93 | (188) gives:
% 261.31/66.93 | (194) all_4_44 = n6
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n7, simplifying with
% 261.31/66.93 | (188), (189) gives:
% 261.31/66.93 | (195) all_4_44 = all_4_47
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.93 | (196) all_4_46 = n8
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.93 | (197) all_4_47 = n6
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (74), (192), (194) imply:
% 261.31/66.93 | (198) sum(n6, n8) = all_4_42
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (12), (194), (196) imply:
% 261.31/66.93 | (199) sum(n6, n8) = all_4_40
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (37), (192), (197) imply:
% 261.31/66.93 | (200) sum(n6, n8) = all_4_41
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (58), (196), (197) imply:
% 261.31/66.93 | (201) sum(n6, n8) = all_4_45
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n3, all_4_41, n8, n6, simplifying with
% 261.31/66.93 | (32), (200) gives:
% 261.31/66.93 | (202) all_4_41 = n3
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_42, all_4_41, n8, n6, simplifying
% 261.31/66.93 | with (198), (200) gives:
% 261.31/66.93 | (203) all_4_41 = all_4_42
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_41, all_4_40, n8, n6, simplifying
% 261.31/66.93 | with (199), (200) gives:
% 261.31/66.93 | (204) all_4_40 = all_4_41
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_45, all_4_40, n8, n6, simplifying
% 261.31/66.93 | with (199), (201) gives:
% 261.31/66.93 | (205) all_4_40 = all_4_45
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (204), (205) imply:
% 261.31/66.93 | (206) all_4_41 = all_4_45
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (206) implies:
% 261.31/66.93 | (207) all_4_41 = all_4_45
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (202), (203) imply:
% 261.31/66.93 | (208) all_4_42 = n3
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (203), (207) imply:
% 261.31/66.93 | (209) all_4_42 = all_4_45
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (208), (209) imply:
% 261.31/66.93 | (210) all_4_45 = n3
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (210) implies:
% 261.31/66.93 | (211) all_4_45 = n3
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (205), (211) imply:
% 261.31/66.93 | (212) all_4_40 = n3
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (63), (202), (212) imply:
% 261.31/66.93 | (213) sum(n3, n3) = all_4_90
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (71), (208), (211) imply:
% 261.31/66.93 | (214) sum(n3, n3) = all_4_91
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n6, all_4_90, n3, n3, simplifying with
% 261.31/66.93 | (17), (213) gives:
% 261.31/66.93 | (215) all_4_90 = n6
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_91, all_4_90, n3, n3, simplifying
% 261.31/66.93 | with (213), (214) gives:
% 261.31/66.93 | (216) all_4_90 = all_4_91
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.93 | (217) all_4_91 = n6
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (217) implies:
% 261.31/66.93 | (218) all_4_91 = n6
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (83), (215) imply:
% 261.31/66.93 | (219) pred(n6) = all_4_36
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (39), (218) imply:
% 261.31/66.93 | (220) pred(n6) = all_4_39
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (31), (215) imply:
% 261.31/66.93 | (221) succ(n6) = all_4_38
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (5), (218) imply:
% 261.31/66.93 | (222) succ(n6) = all_4_35
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n7, all_4_35, n6, simplifying with (66),
% 261.31/66.93 | (222) gives:
% 261.31/66.93 | (223) all_4_35 = n7
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_38, all_4_35, n6, simplifying with
% 261.31/66.93 | (221), (222) gives:
% 261.31/66.93 | (224) all_4_35 = all_4_38
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n5, all_4_36, n6, simplifying with (48),
% 261.31/66.93 | (219) gives:
% 261.31/66.93 | (225) all_4_36 = n5
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n6, simplifying with
% 261.31/66.93 | (219), (220) gives:
% 261.31/66.93 | (226) all_4_36 = all_4_39
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.93 | (227) all_4_38 = n7
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.93 | (228) all_4_39 = n5
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (56), (223), (225) imply:
% 261.31/66.93 | (229) sum(n5, n7) = all_4_34
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (87), (225), (227) imply:
% 261.31/66.93 | (230) sum(n5, n7) = all_4_32
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (68), (223), (228) imply:
% 261.31/66.93 | (231) sum(n5, n7) = all_4_33
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (73), (227), (228) imply:
% 261.31/66.93 | (232) sum(n5, n7) = all_4_37
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n1, all_4_33, n7, n5, simplifying with
% 261.31/66.93 | (42), (231) gives:
% 261.31/66.93 | (233) all_4_33 = n1
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_34, all_4_33, n7, n5, simplifying
% 261.31/66.93 | with (229), (231) gives:
% 261.31/66.93 | (234) all_4_33 = all_4_34
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_33, all_4_32, n7, n5, simplifying
% 261.31/66.93 | with (230), (231) gives:
% 261.31/66.93 | (235) all_4_32 = all_4_33
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_37, all_4_32, n7, n5, simplifying
% 261.31/66.93 | with (230), (232) gives:
% 261.31/66.93 | (236) all_4_32 = all_4_37
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.93 | (237) all_4_33 = all_4_37
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (237) implies:
% 261.31/66.93 | (238) all_4_33 = all_4_37
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (233), (234) imply:
% 261.31/66.93 | (239) all_4_34 = n1
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (234), (238) imply:
% 261.31/66.93 | (240) all_4_34 = all_4_37
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (239), (240) imply:
% 261.31/66.93 | (241) all_4_37 = n1
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (236), (241) imply:
% 261.31/66.93 | (242) all_4_32 = n1
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (36), (233), (242) imply:
% 261.31/66.93 | (243) sum(n1, n1) = all_4_88
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (26), (239), (241) imply:
% 261.31/66.93 | (244) sum(n1, n1) = all_4_89
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n2, all_4_88, n1, n1, simplifying with
% 261.31/66.93 | (101), (243) gives:
% 261.31/66.93 | (245) all_4_88 = n2
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_89, all_4_88, n1, n1, simplifying
% 261.31/66.93 | with (243), (244) gives:
% 261.31/66.93 | (246) all_4_88 = all_4_89
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (245), (246) imply:
% 261.31/66.93 | (247) all_4_89 = n2
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (33), (245) imply:
% 261.31/66.93 | (248) pred(n2) = all_4_28
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (40), (247) imply:
% 261.31/66.93 | (249) pred(n2) = all_4_31
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (51), (245) imply:
% 261.31/66.93 | (250) succ(n2) = all_4_30
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (10), (247) imply:
% 261.31/66.93 | (251) succ(n2) = all_4_27
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n3, all_4_27, n2, simplifying with (64),
% 261.31/66.93 | (251) gives:
% 261.31/66.93 | (252) all_4_27 = n3
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_30, all_4_27, n2, simplifying with
% 261.31/66.93 | (250), (251) gives:
% 261.31/66.93 | (253) all_4_27 = all_4_30
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n1, all_4_28, n2, simplifying with (81),
% 261.31/66.93 | (248) gives:
% 261.31/66.93 | (254) all_4_28 = n1
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n2, simplifying with
% 261.31/66.93 | (248), (249) gives:
% 261.31/66.93 | (255) all_4_28 = all_4_31
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (252), (253) imply:
% 261.31/66.93 | (256) all_4_30 = n3
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (254), (255) imply:
% 261.31/66.93 | (257) all_4_31 = n1
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (1), (252), (254) imply:
% 261.31/66.93 | (258) sum(n1, n3) = all_4_26
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (13), (254), (256) imply:
% 261.31/66.93 | (259) sum(n1, n3) = all_4_24
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (23), (252), (257) imply:
% 261.31/66.93 | (260) sum(n1, n3) = all_4_25
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (34), (256), (257) imply:
% 261.31/66.93 | (261) sum(n1, n3) = all_4_29
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n4, all_4_25, n3, n1, simplifying with
% 261.31/66.93 | (90), (260) gives:
% 261.31/66.93 | (262) all_4_25 = n4
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_26, all_4_25, n3, n1, simplifying
% 261.31/66.93 | with (258), (260) gives:
% 261.31/66.93 | (263) all_4_25 = all_4_26
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_25, all_4_24, n3, n1, simplifying
% 261.31/66.93 | with (259), (260) gives:
% 261.31/66.93 | (264) all_4_24 = all_4_25
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_29, all_4_24, n3, n1, simplifying
% 261.31/66.93 | with (259), (261) gives:
% 261.31/66.93 | (265) all_4_24 = all_4_29
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (264), (265) imply:
% 261.31/66.93 | (266) all_4_25 = all_4_29
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (266) implies:
% 261.31/66.93 | (267) all_4_25 = all_4_29
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (262), (263) imply:
% 261.31/66.93 | (268) all_4_26 = n4
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (263), (267) imply:
% 261.31/66.93 | (269) all_4_26 = all_4_29
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (268), (269) imply:
% 261.31/66.93 | (270) all_4_29 = n4
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (265), (270) imply:
% 261.31/66.93 | (271) all_4_24 = n4
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (4), (262), (271) imply:
% 261.31/66.93 | (272) sum(n4, n4) = all_4_86
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (38), (268), (270) imply:
% 261.31/66.93 | (273) sum(n4, n4) = all_4_87
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n8, all_4_86, n4, n4, simplifying with
% 261.31/66.93 | (84), (272) gives:
% 261.31/66.93 | (274) all_4_86 = n8
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_87, all_4_86, n4, n4, simplifying
% 261.31/66.93 | with (272), (273) gives:
% 261.31/66.93 | (275) all_4_86 = all_4_87
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (274), (275) imply:
% 261.31/66.93 | (276) all_4_87 = n8
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (276) implies:
% 261.31/66.93 | (277) all_4_87 = n8
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (30), (274) imply:
% 261.31/66.93 | (278) pred(n8) = all_4_20
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (70), (277) imply:
% 261.31/66.93 | (279) pred(n8) = all_4_23
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (27), (274) imply:
% 261.31/66.93 | (280) succ(n8) = all_4_22
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (3), (277) imply:
% 261.31/66.93 | (281) succ(n8) = all_4_19
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with n9, all_4_19, n8, simplifying with (67),
% 261.31/66.93 | (281) gives:
% 261.31/66.93 | (282) all_4_19 = n9
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (45) with all_4_22, all_4_19, n8, simplifying with
% 261.31/66.93 | (280), (281) gives:
% 261.31/66.93 | (283) all_4_19 = all_4_22
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with n7, all_4_20, n8, simplifying with (28),
% 261.31/66.93 | (278) gives:
% 261.31/66.93 | (284) all_4_20 = n7
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (91) with all_4_23, all_4_20, n8, simplifying with
% 261.31/66.93 | (278), (279) gives:
% 261.31/66.93 | (285) all_4_20 = all_4_23
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (282), (283) imply:
% 261.31/66.93 | (286) all_4_22 = n9
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (284), (285) imply:
% 261.31/66.93 | (287) all_4_23 = n7
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (14), (282), (284) imply:
% 261.31/66.93 | (288) sum(n7, n9) = all_4_18
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (53), (284), (286) imply:
% 261.31/66.93 | (289) sum(n7, n9) = all_4_16
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (8), (282), (287) imply:
% 261.31/66.93 | (290) sum(n7, n9) = all_4_17
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (21), (286), (287) imply:
% 261.31/66.93 | (291) sum(n7, n9) = all_4_21
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n5, all_4_17, n9, n7, simplifying with
% 261.31/66.93 | (78), (290) gives:
% 261.31/66.93 | (292) all_4_17 = n5
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_18, all_4_17, n9, n7, simplifying
% 261.31/66.93 | with (288), (290) gives:
% 261.31/66.93 | (293) all_4_17 = all_4_18
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_17, all_4_16, n9, n7, simplifying
% 261.31/66.93 | with (289), (290) gives:
% 261.31/66.93 | (294) all_4_16 = all_4_17
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with all_4_21, all_4_16, n9, n7, simplifying
% 261.31/66.93 | with (289), (291) gives:
% 261.31/66.93 | (295) all_4_16 = all_4_21
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (294), (295) imply:
% 261.31/66.93 | (296) all_4_17 = all_4_21
% 261.31/66.93 |
% 261.31/66.93 | SIMP: (296) implies:
% 261.31/66.93 | (297) all_4_17 = all_4_21
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (292), (293) imply:
% 261.31/66.93 | (298) all_4_18 = n5
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (293), (297) imply:
% 261.31/66.93 | (299) all_4_18 = all_4_21
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (298), (299) imply:
% 261.31/66.93 | (300) all_4_21 = n5
% 261.31/66.93 |
% 261.31/66.93 | COMBINE_EQS: (295), (300) imply:
% 261.31/66.93 | (301) all_4_16 = n5
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (79), (292), (301) imply:
% 261.31/66.93 | (302) sum(n5, n5) = all_4_84
% 261.31/66.93 |
% 261.31/66.93 | REDUCE: (6), (298), (300) imply:
% 261.31/66.93 | (303) sum(n5, n5) = all_4_85
% 261.31/66.93 |
% 261.31/66.93 | GROUND_INST: instantiating (69) with n10, all_4_84, n5, n5, simplifying with
% 261.31/66.93 | (62), (302) gives:
% 261.31/66.93 | (304) all_4_84 = n10
% 261.31/66.93 |
% 261.31/66.94 | GROUND_INST: instantiating (69) with all_4_85, all_4_84, n5, n5, simplifying
% 261.31/66.94 | with (302), (303) gives:
% 261.31/66.94 | (305) all_4_84 = all_4_85
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (304), (305) imply:
% 261.31/66.94 | (306) all_4_85 = n10
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (306) implies:
% 261.31/66.94 | (307) all_4_85 = n10
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (9), (304), (307) imply:
% 261.31/66.94 | (308) $false
% 261.31/66.94 |
% 261.31/66.94 | CLOSE: (308) is inconsistent.
% 261.31/66.94 |
% 261.31/66.94 End of proof
% 261.31/66.94
% 261.31/66.94 Sub-proof #167 shows that the following formulas are inconsistent:
% 261.31/66.94 ----------------------------------------------------------------
% 261.31/66.94 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.94 (2) succ(all_4_95) = all_4_51
% 261.31/66.94 (3) succ(all_4_87) = all_4_19
% 261.31/66.94 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.94 (5) succ(n1) = n2
% 261.31/66.94 (6) succ(all_4_91) = all_4_35
% 261.31/66.94 (7) sum(n4, n6) = n10
% 261.31/66.94 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.31/66.94 (9) succ(all_4_92) = all_4_46
% 261.31/66.94 (10) sum(all_4_23, all_4_19) = all_4_17
% 261.31/66.94 (11) ~ (all_4_84 = all_4_85)
% 261.31/66.94 (12) succ(all_4_89) = all_4_27
% 261.31/66.94 (13) pred(all_4_95) = all_4_55
% 261.31/66.94 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.94 (15) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.94 (16) sum(all_4_20, all_4_19) = all_4_18
% 261.31/66.94 (17) succ(n9) = n10
% 261.31/66.94 (18) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.94 (19) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.94 (20) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.94 (21) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.94 (22) sum(all_4_23, all_4_22) = all_4_21
% 261.31/66.94 (23) sum(n2, n4) = n6
% 261.31/66.94 (24) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.94 (25) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.94 (26) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.94 (27) succ(all_4_94) = all_4_54
% 261.31/66.94 (28) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.94 (29) sum(n8, n8) = n5
% 261.31/66.94 (30) succ(all_4_86) = all_4_22
% 261.31/66.94 (31) pred(all_4_99) = all_4_71
% 261.31/66.94 (32) pred(all_4_86) = all_4_20
% 261.31/66.94 (33) succ(all_4_90) = all_4_38
% 261.31/66.94 (34) pred(all_4_88) = all_4_28
% 261.31/66.94 (35) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.94 (36) sum(n8, n10) = n7
% 261.31/66.94 (37) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.94 (38) sum(n0, n2) = n2
% 261.31/66.94 (39) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.94 (40) sum(n3, n5) = n8
% 261.31/66.94 (41) sum(n10, n10) = n9
% 261.31/66.94 (42) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.94 (43) pred(n5) = n4
% 261.31/66.94 (44) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.94 (45) pred(all_4_91) = all_4_39
% 261.31/66.94 (46) pred(all_4_89) = all_4_31
% 261.31/66.94 (47) pred(all_4_92) = all_4_44
% 261.31/66.94 (48) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.94 (49) pred(n4) = n3
% 261.31/66.94 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.94 | ~ (succ(v2) = v0))
% 261.31/66.94 (51) pred(all_4_97) = all_4_63
% 261.31/66.94 (52) succ(all_4_99) = all_4_67
% 261.31/66.94 (53) pred(n9) = n8
% 261.31/66.94 (54) succ(n3) = n4
% 261.31/66.94 (55) pred(all_4_96) = all_4_60
% 261.31/66.94 (56) succ(all_4_96) = all_4_62
% 261.31/66.94 (57) pred(n3) = n2
% 261.31/66.94 (58) succ(all_4_88) = all_4_30
% 261.31/66.94 (59) sum(all_4_20, all_4_22) = all_4_16
% 261.31/66.94 (60) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.94 (61) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.94 (62) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.94 (63) pred(all_4_93) = all_4_47
% 261.31/66.94 (64) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.94 (65) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.94 (66) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.94 (67) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.94 (68) all_4_99 = n4
% 261.31/66.94 (69) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.94 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.94 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.94 (71) pred(all_4_87) = all_4_23
% 261.31/66.94 (72) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.94 (73) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.94 (74) sum(n6, n6) = n1
% 261.31/66.94 (75) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.94 (76) sum(n2, n2) = all_4_99
% 261.31/66.94 (77) succ(n5) = n6
% 261.31/66.94 (78) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.94 (79) succ(n4) = n5
% 261.31/66.94 (80) sum(all_4_17, all_4_16) = all_4_84
% 261.31/66.94 (81) succ(all_4_98) = all_4_70
% 261.31/66.94 (82) pred(all_4_90) = all_4_36
% 261.31/66.94 (83) pred(n1) = n0
% 261.31/66.94 (84) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.94 (85) succ(all_4_97) = all_4_59
% 261.31/66.94 (86) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.94 (87) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.94 (88) sum(n7, n7) = n3
% 261.31/66.94 (89) all_4_98 = n4
% 261.31/66.94 (90) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.94 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.94 | ~ (pred(v2) = v0))
% 261.31/66.94 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.94 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.94 (94) succ(all_4_93) = all_4_43
% 261.31/66.94 (95) pred(all_4_98) = all_4_68
% 261.31/66.94 (96) pred(all_4_94) = all_4_52
% 261.31/66.94
% 261.31/66.94 Begin of proof
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (89), (95) imply:
% 261.31/66.94 | (97) pred(n4) = all_4_68
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (31), (68) imply:
% 261.31/66.94 | (98) pred(n4) = all_4_71
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (81), (89) imply:
% 261.31/66.94 | (99) succ(n4) = all_4_70
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (52), (68) imply:
% 261.31/66.94 | (100) succ(n4) = all_4_67
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (68), (76) imply:
% 261.31/66.94 | (101) sum(n2, n2) = n4
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n5, all_4_67, n4, simplifying with (79),
% 261.31/66.94 | (100) gives:
% 261.31/66.94 | (102) all_4_67 = n5
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_70, all_4_67, n4, simplifying with
% 261.31/66.94 | (99), (100) gives:
% 261.31/66.94 | (103) all_4_67 = all_4_70
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n3, all_4_68, n4, simplifying with (49),
% 261.31/66.94 | (97) gives:
% 261.31/66.94 | (104) all_4_68 = n3
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n4, simplifying with
% 261.31/66.94 | (97), (98) gives:
% 261.31/66.94 | (105) all_4_68 = all_4_71
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.94 | (106) all_4_70 = n5
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.94 | (107) all_4_71 = n3
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (67), (102), (104) imply:
% 261.31/66.94 | (108) sum(n3, n5) = all_4_66
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (84), (104), (106) imply:
% 261.31/66.94 | (109) sum(n3, n5) = all_4_64
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (64), (102), (107) imply:
% 261.31/66.94 | (110) sum(n3, n5) = all_4_65
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (20), (106), (107) imply:
% 261.31/66.94 | (111) sum(n3, n5) = all_4_69
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n8, all_4_65, n5, n3, simplifying with
% 261.31/66.94 | (40), (110) gives:
% 261.31/66.94 | (112) all_4_65 = n8
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_66, all_4_65, n5, n3, simplifying
% 261.31/66.94 | with (108), (110) gives:
% 261.31/66.94 | (113) all_4_65 = all_4_66
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_66, all_4_64, n5, n3, simplifying
% 261.31/66.94 | with (108), (109) gives:
% 261.31/66.94 | (114) all_4_64 = all_4_66
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_69, all_4_64, n5, n3, simplifying
% 261.31/66.94 | with (109), (111) gives:
% 261.31/66.94 | (115) all_4_64 = all_4_69
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.94 | (116) all_4_66 = all_4_69
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (116) implies:
% 261.31/66.94 | (117) all_4_66 = all_4_69
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (112), (113) imply:
% 261.31/66.94 | (118) all_4_66 = n8
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (118) implies:
% 261.31/66.94 | (119) all_4_66 = n8
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (117), (119) imply:
% 261.31/66.94 | (120) all_4_69 = n8
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (115), (120) imply:
% 261.31/66.94 | (121) all_4_64 = n8
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (48), (112), (121) imply:
% 261.31/66.94 | (122) sum(n8, n8) = all_4_96
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (78), (119), (120) imply:
% 261.31/66.94 | (123) sum(n8, n8) = all_4_97
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n5, all_4_96, n8, n8, simplifying with
% 261.31/66.94 | (29), (122) gives:
% 261.31/66.94 | (124) all_4_96 = n5
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_97, all_4_96, n8, n8, simplifying
% 261.31/66.94 | with (122), (123) gives:
% 261.31/66.94 | (125) all_4_96 = all_4_97
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.94 | (126) all_4_97 = n5
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (126) implies:
% 261.31/66.94 | (127) all_4_97 = n5
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (55), (124) imply:
% 261.31/66.94 | (128) pred(n5) = all_4_60
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (51), (127) imply:
% 261.31/66.94 | (129) pred(n5) = all_4_63
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (56), (124) imply:
% 261.31/66.94 | (130) succ(n5) = all_4_62
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (85), (127) imply:
% 261.31/66.94 | (131) succ(n5) = all_4_59
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n6, all_4_59, n5, simplifying with (77),
% 261.31/66.94 | (131) gives:
% 261.31/66.94 | (132) all_4_59 = n6
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_62, all_4_59, n5, simplifying with
% 261.31/66.94 | (130), (131) gives:
% 261.31/66.94 | (133) all_4_59 = all_4_62
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n4, all_4_60, n5, simplifying with (43),
% 261.31/66.94 | (128) gives:
% 261.31/66.94 | (134) all_4_60 = n4
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n5, simplifying with
% 261.31/66.94 | (128), (129) gives:
% 261.31/66.94 | (135) all_4_60 = all_4_63
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.94 | (136) all_4_62 = n6
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.94 | (137) all_4_63 = n4
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (65), (132), (134) imply:
% 261.31/66.94 | (138) sum(n4, n6) = all_4_58
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (19), (134), (136) imply:
% 261.31/66.94 | (139) sum(n4, n6) = all_4_56
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (24), (132), (137) imply:
% 261.31/66.94 | (140) sum(n4, n6) = all_4_57
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (26), (136), (137) imply:
% 261.31/66.94 | (141) sum(n4, n6) = all_4_61
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n10, all_4_57, n6, n4, simplifying with
% 261.31/66.94 | (7), (140) gives:
% 261.31/66.94 | (142) all_4_57 = n10
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_58, all_4_57, n6, n4, simplifying
% 261.31/66.94 | with (138), (140) gives:
% 261.31/66.94 | (143) all_4_57 = all_4_58
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_57, all_4_56, n6, n4, simplifying
% 261.31/66.94 | with (139), (140) gives:
% 261.31/66.94 | (144) all_4_56 = all_4_57
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_61, all_4_56, n6, n4, simplifying
% 261.31/66.94 | with (139), (141) gives:
% 261.31/66.94 | (145) all_4_56 = all_4_61
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.94 | (146) all_4_57 = all_4_61
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (146) implies:
% 261.31/66.94 | (147) all_4_57 = all_4_61
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (142), (143) imply:
% 261.31/66.94 | (148) all_4_58 = n10
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (143), (147) imply:
% 261.31/66.94 | (149) all_4_58 = all_4_61
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (148), (149) imply:
% 261.31/66.94 | (150) all_4_61 = n10
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (145), (150) imply:
% 261.31/66.94 | (151) all_4_56 = n10
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (37), (142), (151) imply:
% 261.31/66.94 | (152) sum(n10, n10) = all_4_94
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (87), (148), (150) imply:
% 261.31/66.94 | (153) sum(n10, n10) = all_4_95
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n9, all_4_94, n10, n10, simplifying with
% 261.31/66.94 | (41), (152) gives:
% 261.31/66.94 | (154) all_4_94 = n9
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_95, all_4_94, n10, n10, simplifying
% 261.31/66.94 | with (152), (153) gives:
% 261.31/66.94 | (155) all_4_94 = all_4_95
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (154), (155) imply:
% 261.31/66.94 | (156) all_4_95 = n9
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (96), (154) imply:
% 261.31/66.94 | (157) pred(n9) = all_4_52
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (13), (156) imply:
% 261.31/66.94 | (158) pred(n9) = all_4_55
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (27), (154) imply:
% 261.31/66.94 | (159) succ(n9) = all_4_54
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (2), (156) imply:
% 261.31/66.94 | (160) succ(n9) = all_4_51
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n10, all_4_51, n9, simplifying with (17),
% 261.31/66.94 | (160) gives:
% 261.31/66.94 | (161) all_4_51 = n10
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_54, all_4_51, n9, simplifying with
% 261.31/66.94 | (159), (160) gives:
% 261.31/66.94 | (162) all_4_51 = all_4_54
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n8, all_4_52, n9, simplifying with (53),
% 261.31/66.94 | (157) gives:
% 261.31/66.94 | (163) all_4_52 = n8
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n9, simplifying with
% 261.31/66.94 | (157), (158) gives:
% 261.31/66.94 | (164) all_4_52 = all_4_55
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (161), (162) imply:
% 261.31/66.94 | (165) all_4_54 = n10
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (163), (164) imply:
% 261.31/66.94 | (166) all_4_55 = n8
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (166) implies:
% 261.31/66.94 | (167) all_4_55 = n8
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (92), (161), (163) imply:
% 261.31/66.94 | (168) sum(n8, n10) = all_4_50
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (18), (163), (165) imply:
% 261.31/66.94 | (169) sum(n8, n10) = all_4_48
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (60), (161), (167) imply:
% 261.31/66.94 | (170) sum(n8, n10) = all_4_49
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (21), (165), (167) imply:
% 261.31/66.94 | (171) sum(n8, n10) = all_4_53
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n7, all_4_49, n10, n8, simplifying with
% 261.31/66.94 | (36), (170) gives:
% 261.31/66.94 | (172) all_4_49 = n7
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_50, all_4_49, n10, n8, simplifying
% 261.31/66.94 | with (168), (170) gives:
% 261.31/66.94 | (173) all_4_49 = all_4_50
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_49, all_4_48, n10, n8, simplifying
% 261.31/66.94 | with (169), (170) gives:
% 261.31/66.94 | (174) all_4_48 = all_4_49
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_53, all_4_48, n10, n8, simplifying
% 261.31/66.94 | with (169), (171) gives:
% 261.31/66.94 | (175) all_4_48 = all_4_53
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.94 | (176) all_4_49 = all_4_53
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (176) implies:
% 261.31/66.94 | (177) all_4_49 = all_4_53
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (172), (173) imply:
% 261.31/66.94 | (178) all_4_50 = n7
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (173), (177) imply:
% 261.31/66.94 | (179) all_4_50 = all_4_53
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (178), (179) imply:
% 261.31/66.94 | (180) all_4_53 = n7
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (175), (180) imply:
% 261.31/66.94 | (181) all_4_48 = n7
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (90), (172), (181) imply:
% 261.31/66.94 | (182) sum(n7, n7) = all_4_92
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (93), (178), (180) imply:
% 261.31/66.94 | (183) sum(n7, n7) = all_4_93
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n3, all_4_92, n7, n7, simplifying with
% 261.31/66.94 | (88), (182) gives:
% 261.31/66.94 | (184) all_4_92 = n3
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_93, all_4_92, n7, n7, simplifying
% 261.31/66.94 | with (182), (183) gives:
% 261.31/66.94 | (185) all_4_92 = all_4_93
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.94 | (186) all_4_93 = n3
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (186) implies:
% 261.31/66.94 | (187) all_4_93 = n3
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (47), (184) imply:
% 261.31/66.94 | (188) pred(n3) = all_4_44
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (63), (187) imply:
% 261.31/66.94 | (189) pred(n3) = all_4_47
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (9), (184) imply:
% 261.31/66.94 | (190) succ(n3) = all_4_46
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (94), (187) imply:
% 261.31/66.94 | (191) succ(n3) = all_4_43
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n4, all_4_43, n3, simplifying with (54),
% 261.31/66.94 | (191) gives:
% 261.31/66.94 | (192) all_4_43 = n4
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_46, all_4_43, n3, simplifying with
% 261.31/66.94 | (190), (191) gives:
% 261.31/66.94 | (193) all_4_43 = all_4_46
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n2, all_4_44, n3, simplifying with (57),
% 261.31/66.94 | (188) gives:
% 261.31/66.94 | (194) all_4_44 = n2
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n3, simplifying with
% 261.31/66.94 | (188), (189) gives:
% 261.31/66.94 | (195) all_4_44 = all_4_47
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.94 | (196) all_4_46 = n4
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.94 | (197) all_4_47 = n2
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (75), (192), (194) imply:
% 261.31/66.94 | (198) sum(n2, n4) = all_4_42
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (14), (194), (196) imply:
% 261.31/66.94 | (199) sum(n2, n4) = all_4_40
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (42), (192), (197) imply:
% 261.31/66.94 | (200) sum(n2, n4) = all_4_41
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (62), (196), (197) imply:
% 261.31/66.94 | (201) sum(n2, n4) = all_4_45
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n6, all_4_41, n4, n2, simplifying with
% 261.31/66.94 | (23), (200) gives:
% 261.31/66.94 | (202) all_4_41 = n6
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_42, all_4_41, n4, n2, simplifying
% 261.31/66.94 | with (198), (200) gives:
% 261.31/66.94 | (203) all_4_41 = all_4_42
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_41, all_4_40, n4, n2, simplifying
% 261.31/66.94 | with (199), (200) gives:
% 261.31/66.94 | (204) all_4_40 = all_4_41
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_45, all_4_40, n4, n2, simplifying
% 261.31/66.94 | with (199), (201) gives:
% 261.31/66.94 | (205) all_4_40 = all_4_45
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (204), (205) imply:
% 261.31/66.94 | (206) all_4_41 = all_4_45
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (206) implies:
% 261.31/66.94 | (207) all_4_41 = all_4_45
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (202), (203) imply:
% 261.31/66.94 | (208) all_4_42 = n6
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (203), (207) imply:
% 261.31/66.94 | (209) all_4_42 = all_4_45
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (208), (209) imply:
% 261.31/66.94 | (210) all_4_45 = n6
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (210) implies:
% 261.31/66.94 | (211) all_4_45 = n6
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (205), (211) imply:
% 261.31/66.94 | (212) all_4_40 = n6
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (66), (202), (212) imply:
% 261.31/66.94 | (213) sum(n6, n6) = all_4_90
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (72), (208), (211) imply:
% 261.31/66.94 | (214) sum(n6, n6) = all_4_91
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n1, all_4_90, n6, n6, simplifying with
% 261.31/66.94 | (74), (213) gives:
% 261.31/66.94 | (215) all_4_90 = n1
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_91, all_4_90, n6, n6, simplifying
% 261.31/66.94 | with (213), (214) gives:
% 261.31/66.94 | (216) all_4_90 = all_4_91
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.94 | (217) all_4_91 = n1
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (217) implies:
% 261.31/66.94 | (218) all_4_91 = n1
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (82), (215) imply:
% 261.31/66.94 | (219) pred(n1) = all_4_36
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (45), (218) imply:
% 261.31/66.94 | (220) pred(n1) = all_4_39
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (33), (215) imply:
% 261.31/66.94 | (221) succ(n1) = all_4_38
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (6), (218) imply:
% 261.31/66.94 | (222) succ(n1) = all_4_35
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n2, all_4_35, n1, simplifying with (5),
% 261.31/66.94 | (222) gives:
% 261.31/66.94 | (223) all_4_35 = n2
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_38, all_4_35, n1, simplifying with
% 261.31/66.94 | (221), (222) gives:
% 261.31/66.94 | (224) all_4_35 = all_4_38
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n0, all_4_36, n1, simplifying with (83),
% 261.31/66.94 | (219) gives:
% 261.31/66.94 | (225) all_4_36 = n0
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n1, simplifying with
% 261.31/66.94 | (219), (220) gives:
% 261.31/66.94 | (226) all_4_36 = all_4_39
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.94 | (227) all_4_38 = n2
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.94 | (228) all_4_39 = n0
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (61), (223), (225) imply:
% 261.31/66.94 | (229) sum(n0, n2) = all_4_34
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (86), (225), (227) imply:
% 261.31/66.94 | (230) sum(n0, n2) = all_4_32
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (69), (223), (228) imply:
% 261.31/66.94 | (231) sum(n0, n2) = all_4_33
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (73), (227), (228) imply:
% 261.31/66.94 | (232) sum(n0, n2) = all_4_37
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n2, all_4_33, n2, n0, simplifying with
% 261.31/66.94 | (38), (231) gives:
% 261.31/66.94 | (233) all_4_33 = n2
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_34, all_4_33, n2, n0, simplifying
% 261.31/66.94 | with (229), (231) gives:
% 261.31/66.94 | (234) all_4_33 = all_4_34
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_33, all_4_32, n2, n0, simplifying
% 261.31/66.94 | with (230), (231) gives:
% 261.31/66.94 | (235) all_4_32 = all_4_33
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_37, all_4_32, n2, n0, simplifying
% 261.31/66.94 | with (230), (232) gives:
% 261.31/66.94 | (236) all_4_32 = all_4_37
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.94 | (237) all_4_33 = all_4_37
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (237) implies:
% 261.31/66.94 | (238) all_4_33 = all_4_37
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (233), (234) imply:
% 261.31/66.94 | (239) all_4_34 = n2
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (234), (238) imply:
% 261.31/66.94 | (240) all_4_34 = all_4_37
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (239), (240) imply:
% 261.31/66.94 | (241) all_4_37 = n2
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (236), (241) imply:
% 261.31/66.94 | (242) all_4_32 = n2
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (39), (233), (242) imply:
% 261.31/66.94 | (243) sum(n2, n2) = all_4_88
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (28), (239), (241) imply:
% 261.31/66.94 | (244) sum(n2, n2) = all_4_89
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n4, all_4_88, n2, n2, simplifying with
% 261.31/66.94 | (101), (243) gives:
% 261.31/66.94 | (245) all_4_88 = n4
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_89, all_4_88, n2, n2, simplifying
% 261.31/66.94 | with (243), (244) gives:
% 261.31/66.94 | (246) all_4_88 = all_4_89
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (245), (246) imply:
% 261.31/66.94 | (247) all_4_89 = n4
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (34), (245) imply:
% 261.31/66.94 | (248) pred(n4) = all_4_28
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (46), (247) imply:
% 261.31/66.94 | (249) pred(n4) = all_4_31
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (58), (245) imply:
% 261.31/66.94 | (250) succ(n4) = all_4_30
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (12), (247) imply:
% 261.31/66.94 | (251) succ(n4) = all_4_27
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n5, all_4_27, n4, simplifying with (79),
% 261.31/66.94 | (251) gives:
% 261.31/66.94 | (252) all_4_27 = n5
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_30, all_4_27, n4, simplifying with
% 261.31/66.94 | (250), (251) gives:
% 261.31/66.94 | (253) all_4_27 = all_4_30
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n3, all_4_28, n4, simplifying with (49),
% 261.31/66.94 | (248) gives:
% 261.31/66.94 | (254) all_4_28 = n3
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n4, simplifying with
% 261.31/66.94 | (248), (249) gives:
% 261.31/66.94 | (255) all_4_28 = all_4_31
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (252), (253) imply:
% 261.31/66.94 | (256) all_4_30 = n5
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (254), (255) imply:
% 261.31/66.94 | (257) all_4_31 = n3
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (1), (252), (254) imply:
% 261.31/66.94 | (258) sum(n3, n5) = all_4_26
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (15), (254), (256) imply:
% 261.31/66.94 | (259) sum(n3, n5) = all_4_24
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (25), (252), (257) imply:
% 261.31/66.94 | (260) sum(n3, n5) = all_4_25
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (35), (256), (257) imply:
% 261.31/66.94 | (261) sum(n3, n5) = all_4_29
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n8, all_4_25, n5, n3, simplifying with
% 261.31/66.94 | (40), (260) gives:
% 261.31/66.94 | (262) all_4_25 = n8
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_26, all_4_25, n5, n3, simplifying
% 261.31/66.94 | with (258), (260) gives:
% 261.31/66.94 | (263) all_4_25 = all_4_26
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_25, all_4_24, n5, n3, simplifying
% 261.31/66.94 | with (259), (260) gives:
% 261.31/66.94 | (264) all_4_24 = all_4_25
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_29, all_4_24, n5, n3, simplifying
% 261.31/66.94 | with (259), (261) gives:
% 261.31/66.94 | (265) all_4_24 = all_4_29
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (264), (265) imply:
% 261.31/66.94 | (266) all_4_25 = all_4_29
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (266) implies:
% 261.31/66.94 | (267) all_4_25 = all_4_29
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (262), (263) imply:
% 261.31/66.94 | (268) all_4_26 = n8
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (263), (267) imply:
% 261.31/66.94 | (269) all_4_26 = all_4_29
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (268), (269) imply:
% 261.31/66.94 | (270) all_4_29 = n8
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (265), (270) imply:
% 261.31/66.94 | (271) all_4_24 = n8
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (4), (262), (271) imply:
% 261.31/66.94 | (272) sum(n8, n8) = all_4_86
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (44), (268), (270) imply:
% 261.31/66.94 | (273) sum(n8, n8) = all_4_87
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n5, all_4_86, n8, n8, simplifying with
% 261.31/66.94 | (29), (272) gives:
% 261.31/66.94 | (274) all_4_86 = n5
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with all_4_87, all_4_86, n8, n8, simplifying
% 261.31/66.94 | with (272), (273) gives:
% 261.31/66.94 | (275) all_4_86 = all_4_87
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (274), (275) imply:
% 261.31/66.94 | (276) all_4_87 = n5
% 261.31/66.94 |
% 261.31/66.94 | SIMP: (276) implies:
% 261.31/66.94 | (277) all_4_87 = n5
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (32), (274) imply:
% 261.31/66.94 | (278) pred(n5) = all_4_20
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (71), (277) imply:
% 261.31/66.94 | (279) pred(n5) = all_4_23
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (30), (274) imply:
% 261.31/66.94 | (280) succ(n5) = all_4_22
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (3), (277) imply:
% 261.31/66.94 | (281) succ(n5) = all_4_19
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with n6, all_4_19, n5, simplifying with (77),
% 261.31/66.94 | (281) gives:
% 261.31/66.94 | (282) all_4_19 = n6
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (50) with all_4_22, all_4_19, n5, simplifying with
% 261.31/66.94 | (280), (281) gives:
% 261.31/66.94 | (283) all_4_19 = all_4_22
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with n4, all_4_20, n5, simplifying with (43),
% 261.31/66.94 | (278) gives:
% 261.31/66.94 | (284) all_4_20 = n4
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (91) with all_4_23, all_4_20, n5, simplifying with
% 261.31/66.94 | (278), (279) gives:
% 261.31/66.94 | (285) all_4_20 = all_4_23
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (282), (283) imply:
% 261.31/66.94 | (286) all_4_22 = n6
% 261.31/66.94 |
% 261.31/66.94 | COMBINE_EQS: (284), (285) imply:
% 261.31/66.94 | (287) all_4_23 = n4
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (16), (282), (284) imply:
% 261.31/66.94 | (288) sum(n4, n6) = all_4_18
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (59), (284), (286) imply:
% 261.31/66.94 | (289) sum(n4, n6) = all_4_16
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (10), (282), (287) imply:
% 261.31/66.94 | (290) sum(n4, n6) = all_4_17
% 261.31/66.94 |
% 261.31/66.94 | REDUCE: (22), (286), (287) imply:
% 261.31/66.94 | (291) sum(n4, n6) = all_4_21
% 261.31/66.94 |
% 261.31/66.94 | GROUND_INST: instantiating (70) with n10, all_4_17, n6, n4, simplifying with
% 261.31/66.94 | (7), (290) gives:
% 261.31/66.94 | (292) all_4_17 = n10
% 261.31/66.94 |
% 261.31/66.95 | GROUND_INST: instantiating (70) with all_4_18, all_4_17, n6, n4, simplifying
% 261.31/66.95 | with (288), (290) gives:
% 261.31/66.95 | (293) all_4_17 = all_4_18
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (70) with all_4_17, all_4_16, n6, n4, simplifying
% 261.31/66.95 | with (289), (290) gives:
% 261.31/66.95 | (294) all_4_16 = all_4_17
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (70) with all_4_21, all_4_16, n6, n4, simplifying
% 261.31/66.95 | with (289), (291) gives:
% 261.31/66.95 | (295) all_4_16 = all_4_21
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (294), (295) imply:
% 261.31/66.95 | (296) all_4_17 = all_4_21
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (296) implies:
% 261.31/66.95 | (297) all_4_17 = all_4_21
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (292), (293) imply:
% 261.31/66.95 | (298) all_4_18 = n10
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (293), (297) imply:
% 261.31/66.95 | (299) all_4_18 = all_4_21
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (298), (299) imply:
% 261.31/66.95 | (300) all_4_21 = n10
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (295), (300) imply:
% 261.31/66.95 | (301) all_4_16 = n10
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (80), (292), (301) imply:
% 261.31/66.95 | (302) sum(n10, n10) = all_4_84
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (8), (298), (300) imply:
% 261.31/66.95 | (303) sum(n10, n10) = all_4_85
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (70) with n9, all_4_84, n10, n10, simplifying with
% 261.31/66.95 | (41), (302) gives:
% 261.31/66.95 | (304) all_4_84 = n9
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (70) with all_4_85, all_4_84, n10, n10, simplifying
% 261.31/66.95 | with (302), (303) gives:
% 261.31/66.95 | (305) all_4_84 = all_4_85
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (304), (305) imply:
% 261.31/66.95 | (306) all_4_85 = n9
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (306) implies:
% 261.31/66.95 | (307) all_4_85 = n9
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (11), (304), (307) imply:
% 261.31/66.95 | (308) $false
% 261.31/66.95 |
% 261.31/66.95 | CLOSE: (308) is inconsistent.
% 261.31/66.95 |
% 261.31/66.95 End of proof
% 261.31/66.95
% 261.31/66.95 Sub-proof #168 shows that the following formulas are inconsistent:
% 261.31/66.95 ----------------------------------------------------------------
% 261.31/66.95 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.31/66.95 (2) succ(all_4_95) = all_4_51
% 261.31/66.95 (3) succ(all_4_87) = all_4_19
% 261.31/66.95 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.31/66.95 (5) succ(all_4_91) = all_4_35
% 261.31/66.95 (6) sum(all_4_21, all_4_18) = all_4_85
% 261.31/66.95 (7) succ(all_4_92) = all_4_46
% 261.31/66.95 (8) sum(all_4_23, all_4_19) = all_4_17
% 261.31/66.95 (9) ~ (all_4_84 = all_4_85)
% 261.31/66.95 (10) succ(all_4_89) = all_4_27
% 261.31/66.95 (11) pred(all_4_95) = all_4_55
% 261.31/66.95 (12) sum(all_4_44, all_4_46) = all_4_40
% 261.31/66.95 (13) sum(all_4_28, all_4_30) = all_4_24
% 261.31/66.95 (14) sum(all_4_20, all_4_19) = all_4_18
% 261.31/66.95 (15) sum(n9, n0) = n9
% 261.31/66.95 (16) sum(all_4_52, all_4_54) = all_4_48
% 261.31/66.95 (17) sum(all_4_60, all_4_62) = all_4_56
% 261.31/66.95 (18) sum(all_4_71, all_4_70) = all_4_69
% 261.31/66.95 (19) sum(all_4_55, all_4_54) = all_4_53
% 261.31/66.95 (20) sum(all_4_23, all_4_22) = all_4_21
% 261.31/66.95 (21) sum(all_4_63, all_4_59) = all_4_57
% 261.31/66.95 (22) sum(all_4_31, all_4_27) = all_4_25
% 261.31/66.95 (23) sum(all_4_63, all_4_62) = all_4_61
% 261.31/66.95 (24) succ(all_4_94) = all_4_54
% 261.31/66.95 (25) sum(all_4_37, all_4_34) = all_4_89
% 261.31/66.95 (26) succ(all_4_86) = all_4_22
% 261.31/66.95 (27) pred(n8) = n7
% 261.31/66.95 (28) pred(all_4_99) = all_4_71
% 261.31/66.95 (29) pred(all_4_86) = all_4_20
% 261.31/66.95 (30) succ(all_4_90) = all_4_38
% 261.31/66.95 (31) sum(n6, n8) = n3
% 261.31/66.95 (32) pred(all_4_88) = all_4_28
% 261.31/66.95 (33) all_4_98 = n6
% 261.31/66.95 (34) sum(all_4_31, all_4_30) = all_4_29
% 261.31/66.95 (35) sum(all_4_57, all_4_56) = all_4_94
% 261.31/66.95 (36) sum(all_4_33, all_4_32) = all_4_88
% 261.31/66.95 (37) sum(all_4_47, all_4_43) = all_4_41
% 261.31/66.95 (38) sum(all_4_29, all_4_26) = all_4_87
% 261.31/66.95 (39) pred(all_4_91) = all_4_39
% 261.31/66.95 (40) pred(all_4_89) = all_4_31
% 261.31/66.95 (41) pred(all_4_92) = all_4_44
% 261.31/66.95 (42) sum(n5, n7) = n1
% 261.31/66.95 (43) sum(all_4_65, all_4_64) = all_4_96
% 261.31/66.95 (44) succ(n10) = n0
% 261.31/66.95 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.31/66.95 | ~ (succ(v2) = v0))
% 261.31/66.95 (46) pred(all_4_97) = all_4_63
% 261.31/66.95 (47) succ(all_4_99) = all_4_67
% 261.31/66.95 (48) pred(n6) = n5
% 261.31/66.95 (49) pred(all_4_96) = all_4_60
% 261.31/66.95 (50) succ(all_4_96) = all_4_62
% 261.31/66.95 (51) succ(all_4_88) = all_4_30
% 261.31/66.95 (52) sum(all_4_20, all_4_22) = all_4_16
% 261.31/66.95 (53) sum(all_4_55, all_4_51) = all_4_49
% 261.31/66.95 (54) pred(n7) = n6
% 261.31/66.95 (55) sum(all_4_36, all_4_35) = all_4_34
% 261.31/66.95 (56) succ(n7) = n8
% 261.31/66.95 (57) sum(all_4_47, all_4_46) = all_4_45
% 261.31/66.95 (58) pred(all_4_93) = all_4_47
% 261.31/66.95 (59) sum(all_4_71, all_4_67) = all_4_65
% 261.31/66.95 (60) sum(all_4_60, all_4_59) = all_4_58
% 261.31/66.95 (61) sum(n5, n5) = n10
% 261.31/66.95 (62) sum(all_4_41, all_4_40) = all_4_90
% 261.31/66.95 (63) succ(n2) = n3
% 261.31/66.95 (64) sum(all_4_68, all_4_67) = all_4_66
% 261.31/66.95 (65) succ(n6) = n7
% 261.31/66.95 (66) succ(n8) = n9
% 261.31/66.95 (67) sum(all_4_39, all_4_35) = all_4_33
% 261.31/66.95 (68) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.31/66.95 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.31/66.95 (69) pred(all_4_87) = all_4_23
% 261.31/66.95 (70) sum(all_4_45, all_4_42) = all_4_91
% 261.31/66.95 (71) sum(n9, n9) = n7
% 261.31/66.95 (72) sum(all_4_39, all_4_38) = all_4_37
% 261.31/66.95 (73) sum(all_4_44, all_4_43) = all_4_42
% 261.31/66.95 (74) pred(n10) = n9
% 261.31/66.95 (75) sum(all_4_69, all_4_66) = all_4_97
% 261.31/66.95 (76) sum(n7, n9) = n5
% 261.31/66.95 (77) sum(all_4_17, all_4_16) = all_4_84
% 261.31/66.95 (78) pred(n2) = n1
% 261.31/66.95 (79) sum(n3, n3) = all_4_99
% 261.31/66.95 (80) succ(all_4_98) = all_4_70
% 261.31/66.95 (81) pred(all_4_90) = all_4_36
% 261.31/66.95 (82) sum(n4, n4) = n8
% 261.31/66.95 (83) sum(all_4_68, all_4_70) = all_4_64
% 261.31/66.95 (84) succ(all_4_97) = all_4_59
% 261.31/66.95 (85) sum(all_4_36, all_4_38) = all_4_32
% 261.31/66.95 (86) sum(all_4_61, all_4_58) = all_4_95
% 261.31/66.95 (87) sum(all_4_49, all_4_48) = all_4_92
% 261.31/66.95 (88) all_4_99 = n6
% 261.31/66.95 (89) sum(n1, n3) = n4
% 261.31/66.95 (90) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.31/66.95 | ~ (pred(v2) = v0))
% 261.31/66.95 (91) sum(n1, n1) = n2
% 261.31/66.95 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.31/66.95 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.31/66.95 (94) succ(all_4_93) = all_4_43
% 261.31/66.95 (95) pred(all_4_98) = all_4_68
% 261.31/66.95 (96) pred(all_4_94) = all_4_52
% 261.31/66.95
% 261.31/66.95 Begin of proof
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (33), (95) imply:
% 261.31/66.95 | (97) pred(n6) = all_4_68
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (28), (88) imply:
% 261.31/66.95 | (98) pred(n6) = all_4_71
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (33), (80) imply:
% 261.31/66.95 | (99) succ(n6) = all_4_70
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (47), (88) imply:
% 261.31/66.95 | (100) succ(n6) = all_4_67
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (79), (88) imply:
% 261.31/66.95 | (101) sum(n3, n3) = n6
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with n7, all_4_67, n6, simplifying with (65),
% 261.31/66.95 | (100) gives:
% 261.31/66.95 | (102) all_4_67 = n7
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with all_4_70, all_4_67, n6, simplifying with
% 261.31/66.95 | (99), (100) gives:
% 261.31/66.95 | (103) all_4_67 = all_4_70
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with n5, all_4_68, n6, simplifying with (48),
% 261.31/66.95 | (97) gives:
% 261.31/66.95 | (104) all_4_68 = n5
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with all_4_71, all_4_68, n6, simplifying with
% 261.31/66.95 | (97), (98) gives:
% 261.31/66.95 | (105) all_4_68 = all_4_71
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (102), (103) imply:
% 261.31/66.95 | (106) all_4_70 = n7
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (104), (105) imply:
% 261.31/66.95 | (107) all_4_71 = n5
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (64), (102), (104) imply:
% 261.31/66.95 | (108) sum(n5, n7) = all_4_66
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (83), (104), (106) imply:
% 261.31/66.95 | (109) sum(n5, n7) = all_4_64
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (59), (102), (107) imply:
% 261.31/66.95 | (110) sum(n5, n7) = all_4_65
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (18), (106), (107) imply:
% 261.31/66.95 | (111) sum(n5, n7) = all_4_69
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n1, all_4_65, n7, n5, simplifying with
% 261.31/66.95 | (42), (110) gives:
% 261.31/66.95 | (112) all_4_65 = n1
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_66, all_4_65, n7, n5, simplifying
% 261.31/66.95 | with (108), (110) gives:
% 261.31/66.95 | (113) all_4_65 = all_4_66
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_66, all_4_64, n7, n5, simplifying
% 261.31/66.95 | with (108), (109) gives:
% 261.31/66.95 | (114) all_4_64 = all_4_66
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_69, all_4_64, n7, n5, simplifying
% 261.31/66.95 | with (109), (111) gives:
% 261.31/66.95 | (115) all_4_64 = all_4_69
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (114), (115) imply:
% 261.31/66.95 | (116) all_4_66 = all_4_69
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (116) implies:
% 261.31/66.95 | (117) all_4_66 = all_4_69
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (112), (113) imply:
% 261.31/66.95 | (118) all_4_66 = n1
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (118) implies:
% 261.31/66.95 | (119) all_4_66 = n1
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (117), (119) imply:
% 261.31/66.95 | (120) all_4_69 = n1
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (115), (120) imply:
% 261.31/66.95 | (121) all_4_64 = n1
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (43), (112), (121) imply:
% 261.31/66.95 | (122) sum(n1, n1) = all_4_96
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (75), (119), (120) imply:
% 261.31/66.95 | (123) sum(n1, n1) = all_4_97
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n2, all_4_96, n1, n1, simplifying with
% 261.31/66.95 | (91), (122) gives:
% 261.31/66.95 | (124) all_4_96 = n2
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_97, all_4_96, n1, n1, simplifying
% 261.31/66.95 | with (122), (123) gives:
% 261.31/66.95 | (125) all_4_96 = all_4_97
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (124), (125) imply:
% 261.31/66.95 | (126) all_4_97 = n2
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (126) implies:
% 261.31/66.95 | (127) all_4_97 = n2
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (49), (124) imply:
% 261.31/66.95 | (128) pred(n2) = all_4_60
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (46), (127) imply:
% 261.31/66.95 | (129) pred(n2) = all_4_63
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (50), (124) imply:
% 261.31/66.95 | (130) succ(n2) = all_4_62
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (84), (127) imply:
% 261.31/66.95 | (131) succ(n2) = all_4_59
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with n3, all_4_59, n2, simplifying with (63),
% 261.31/66.95 | (131) gives:
% 261.31/66.95 | (132) all_4_59 = n3
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with all_4_62, all_4_59, n2, simplifying with
% 261.31/66.95 | (130), (131) gives:
% 261.31/66.95 | (133) all_4_59 = all_4_62
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with n1, all_4_60, n2, simplifying with (78),
% 261.31/66.95 | (128) gives:
% 261.31/66.95 | (134) all_4_60 = n1
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with all_4_63, all_4_60, n2, simplifying with
% 261.31/66.95 | (128), (129) gives:
% 261.31/66.95 | (135) all_4_60 = all_4_63
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (132), (133) imply:
% 261.31/66.95 | (136) all_4_62 = n3
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (134), (135) imply:
% 261.31/66.95 | (137) all_4_63 = n1
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (60), (132), (134) imply:
% 261.31/66.95 | (138) sum(n1, n3) = all_4_58
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (17), (134), (136) imply:
% 261.31/66.95 | (139) sum(n1, n3) = all_4_56
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (21), (132), (137) imply:
% 261.31/66.95 | (140) sum(n1, n3) = all_4_57
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (23), (136), (137) imply:
% 261.31/66.95 | (141) sum(n1, n3) = all_4_61
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n4, all_4_57, n3, n1, simplifying with
% 261.31/66.95 | (89), (140) gives:
% 261.31/66.95 | (142) all_4_57 = n4
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_58, all_4_57, n3, n1, simplifying
% 261.31/66.95 | with (138), (140) gives:
% 261.31/66.95 | (143) all_4_57 = all_4_58
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_57, all_4_56, n3, n1, simplifying
% 261.31/66.95 | with (139), (140) gives:
% 261.31/66.95 | (144) all_4_56 = all_4_57
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_61, all_4_56, n3, n1, simplifying
% 261.31/66.95 | with (139), (141) gives:
% 261.31/66.95 | (145) all_4_56 = all_4_61
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (144), (145) imply:
% 261.31/66.95 | (146) all_4_57 = all_4_61
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (146) implies:
% 261.31/66.95 | (147) all_4_57 = all_4_61
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (142), (143) imply:
% 261.31/66.95 | (148) all_4_58 = n4
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (143), (147) imply:
% 261.31/66.95 | (149) all_4_58 = all_4_61
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (148), (149) imply:
% 261.31/66.95 | (150) all_4_61 = n4
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (145), (150) imply:
% 261.31/66.95 | (151) all_4_56 = n4
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (35), (142), (151) imply:
% 261.31/66.95 | (152) sum(n4, n4) = all_4_94
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (86), (148), (150) imply:
% 261.31/66.95 | (153) sum(n4, n4) = all_4_95
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n8, all_4_94, n4, n4, simplifying with
% 261.31/66.95 | (82), (152) gives:
% 261.31/66.95 | (154) all_4_94 = n8
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_95, all_4_94, n4, n4, simplifying
% 261.31/66.95 | with (152), (153) gives:
% 261.31/66.95 | (155) all_4_94 = all_4_95
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (154), (155) imply:
% 261.31/66.95 | (156) all_4_95 = n8
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (96), (154) imply:
% 261.31/66.95 | (157) pred(n8) = all_4_52
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (11), (156) imply:
% 261.31/66.95 | (158) pred(n8) = all_4_55
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (24), (154) imply:
% 261.31/66.95 | (159) succ(n8) = all_4_54
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (2), (156) imply:
% 261.31/66.95 | (160) succ(n8) = all_4_51
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with n9, all_4_51, n8, simplifying with (66),
% 261.31/66.95 | (160) gives:
% 261.31/66.95 | (161) all_4_51 = n9
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with all_4_54, all_4_51, n8, simplifying with
% 261.31/66.95 | (159), (160) gives:
% 261.31/66.95 | (162) all_4_51 = all_4_54
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with n7, all_4_52, n8, simplifying with (27),
% 261.31/66.95 | (157) gives:
% 261.31/66.95 | (163) all_4_52 = n7
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with all_4_55, all_4_52, n8, simplifying with
% 261.31/66.95 | (157), (158) gives:
% 261.31/66.95 | (164) all_4_52 = all_4_55
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (161), (162) imply:
% 261.31/66.95 | (165) all_4_54 = n9
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (163), (164) imply:
% 261.31/66.95 | (166) all_4_55 = n7
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (166) implies:
% 261.31/66.95 | (167) all_4_55 = n7
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (92), (161), (163) imply:
% 261.31/66.95 | (168) sum(n7, n9) = all_4_50
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (16), (163), (165) imply:
% 261.31/66.95 | (169) sum(n7, n9) = all_4_48
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (53), (161), (167) imply:
% 261.31/66.95 | (170) sum(n7, n9) = all_4_49
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (19), (165), (167) imply:
% 261.31/66.95 | (171) sum(n7, n9) = all_4_53
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n5, all_4_49, n9, n7, simplifying with
% 261.31/66.95 | (76), (170) gives:
% 261.31/66.95 | (172) all_4_49 = n5
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_50, all_4_49, n9, n7, simplifying
% 261.31/66.95 | with (168), (170) gives:
% 261.31/66.95 | (173) all_4_49 = all_4_50
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_49, all_4_48, n9, n7, simplifying
% 261.31/66.95 | with (169), (170) gives:
% 261.31/66.95 | (174) all_4_48 = all_4_49
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_53, all_4_48, n9, n7, simplifying
% 261.31/66.95 | with (169), (171) gives:
% 261.31/66.95 | (175) all_4_48 = all_4_53
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (174), (175) imply:
% 261.31/66.95 | (176) all_4_49 = all_4_53
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (176) implies:
% 261.31/66.95 | (177) all_4_49 = all_4_53
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (172), (173) imply:
% 261.31/66.95 | (178) all_4_50 = n5
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (173), (177) imply:
% 261.31/66.95 | (179) all_4_50 = all_4_53
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (178), (179) imply:
% 261.31/66.95 | (180) all_4_53 = n5
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (175), (180) imply:
% 261.31/66.95 | (181) all_4_48 = n5
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (87), (172), (181) imply:
% 261.31/66.95 | (182) sum(n5, n5) = all_4_92
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (93), (178), (180) imply:
% 261.31/66.95 | (183) sum(n5, n5) = all_4_93
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n10, all_4_92, n5, n5, simplifying with
% 261.31/66.95 | (61), (182) gives:
% 261.31/66.95 | (184) all_4_92 = n10
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_93, all_4_92, n5, n5, simplifying
% 261.31/66.95 | with (182), (183) gives:
% 261.31/66.95 | (185) all_4_92 = all_4_93
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (184), (185) imply:
% 261.31/66.95 | (186) all_4_93 = n10
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (186) implies:
% 261.31/66.95 | (187) all_4_93 = n10
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (41), (184) imply:
% 261.31/66.95 | (188) pred(n10) = all_4_44
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (58), (187) imply:
% 261.31/66.95 | (189) pred(n10) = all_4_47
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (7), (184) imply:
% 261.31/66.95 | (190) succ(n10) = all_4_46
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (94), (187) imply:
% 261.31/66.95 | (191) succ(n10) = all_4_43
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with n0, all_4_43, n10, simplifying with (44),
% 261.31/66.95 | (191) gives:
% 261.31/66.95 | (192) all_4_43 = n0
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with all_4_46, all_4_43, n10, simplifying with
% 261.31/66.95 | (190), (191) gives:
% 261.31/66.95 | (193) all_4_43 = all_4_46
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with n9, all_4_44, n10, simplifying with (74),
% 261.31/66.95 | (188) gives:
% 261.31/66.95 | (194) all_4_44 = n9
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with all_4_47, all_4_44, n10, simplifying with
% 261.31/66.95 | (188), (189) gives:
% 261.31/66.95 | (195) all_4_44 = all_4_47
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (192), (193) imply:
% 261.31/66.95 | (196) all_4_46 = n0
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (194), (195) imply:
% 261.31/66.95 | (197) all_4_47 = n9
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (73), (192), (194) imply:
% 261.31/66.95 | (198) sum(n9, n0) = all_4_42
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (12), (194), (196) imply:
% 261.31/66.95 | (199) sum(n9, n0) = all_4_40
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (37), (192), (197) imply:
% 261.31/66.95 | (200) sum(n9, n0) = all_4_41
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (57), (196), (197) imply:
% 261.31/66.95 | (201) sum(n9, n0) = all_4_45
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n9, all_4_41, n0, n9, simplifying with
% 261.31/66.95 | (15), (200) gives:
% 261.31/66.95 | (202) all_4_41 = n9
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_42, all_4_41, n0, n9, simplifying
% 261.31/66.95 | with (198), (200) gives:
% 261.31/66.95 | (203) all_4_41 = all_4_42
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_41, all_4_40, n0, n9, simplifying
% 261.31/66.95 | with (199), (200) gives:
% 261.31/66.95 | (204) all_4_40 = all_4_41
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_45, all_4_40, n0, n9, simplifying
% 261.31/66.95 | with (199), (201) gives:
% 261.31/66.95 | (205) all_4_40 = all_4_45
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (204), (205) imply:
% 261.31/66.95 | (206) all_4_41 = all_4_45
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (206) implies:
% 261.31/66.95 | (207) all_4_41 = all_4_45
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (202), (203) imply:
% 261.31/66.95 | (208) all_4_42 = n9
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (203), (207) imply:
% 261.31/66.95 | (209) all_4_42 = all_4_45
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (208), (209) imply:
% 261.31/66.95 | (210) all_4_45 = n9
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (210) implies:
% 261.31/66.95 | (211) all_4_45 = n9
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (205), (211) imply:
% 261.31/66.95 | (212) all_4_40 = n9
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (62), (202), (212) imply:
% 261.31/66.95 | (213) sum(n9, n9) = all_4_90
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (70), (208), (211) imply:
% 261.31/66.95 | (214) sum(n9, n9) = all_4_91
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n7, all_4_90, n9, n9, simplifying with
% 261.31/66.95 | (71), (213) gives:
% 261.31/66.95 | (215) all_4_90 = n7
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_91, all_4_90, n9, n9, simplifying
% 261.31/66.95 | with (213), (214) gives:
% 261.31/66.95 | (216) all_4_90 = all_4_91
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (215), (216) imply:
% 261.31/66.95 | (217) all_4_91 = n7
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (217) implies:
% 261.31/66.95 | (218) all_4_91 = n7
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (81), (215) imply:
% 261.31/66.95 | (219) pred(n7) = all_4_36
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (39), (218) imply:
% 261.31/66.95 | (220) pred(n7) = all_4_39
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (30), (215) imply:
% 261.31/66.95 | (221) succ(n7) = all_4_38
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (5), (218) imply:
% 261.31/66.95 | (222) succ(n7) = all_4_35
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with n8, all_4_35, n7, simplifying with (56),
% 261.31/66.95 | (222) gives:
% 261.31/66.95 | (223) all_4_35 = n8
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with all_4_38, all_4_35, n7, simplifying with
% 261.31/66.95 | (221), (222) gives:
% 261.31/66.95 | (224) all_4_35 = all_4_38
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with n6, all_4_36, n7, simplifying with (54),
% 261.31/66.95 | (219) gives:
% 261.31/66.95 | (225) all_4_36 = n6
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (90) with all_4_39, all_4_36, n7, simplifying with
% 261.31/66.95 | (219), (220) gives:
% 261.31/66.95 | (226) all_4_36 = all_4_39
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (223), (224) imply:
% 261.31/66.95 | (227) all_4_38 = n8
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (225), (226) imply:
% 261.31/66.95 | (228) all_4_39 = n6
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (55), (223), (225) imply:
% 261.31/66.95 | (229) sum(n6, n8) = all_4_34
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (85), (225), (227) imply:
% 261.31/66.95 | (230) sum(n6, n8) = all_4_32
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (67), (223), (228) imply:
% 261.31/66.95 | (231) sum(n6, n8) = all_4_33
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (72), (227), (228) imply:
% 261.31/66.95 | (232) sum(n6, n8) = all_4_37
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n3, all_4_33, n8, n6, simplifying with
% 261.31/66.95 | (31), (231) gives:
% 261.31/66.95 | (233) all_4_33 = n3
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_34, all_4_33, n8, n6, simplifying
% 261.31/66.95 | with (229), (231) gives:
% 261.31/66.95 | (234) all_4_33 = all_4_34
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_33, all_4_32, n8, n6, simplifying
% 261.31/66.95 | with (230), (231) gives:
% 261.31/66.95 | (235) all_4_32 = all_4_33
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_37, all_4_32, n8, n6, simplifying
% 261.31/66.95 | with (230), (232) gives:
% 261.31/66.95 | (236) all_4_32 = all_4_37
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (235), (236) imply:
% 261.31/66.95 | (237) all_4_33 = all_4_37
% 261.31/66.95 |
% 261.31/66.95 | SIMP: (237) implies:
% 261.31/66.95 | (238) all_4_33 = all_4_37
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (233), (234) imply:
% 261.31/66.95 | (239) all_4_34 = n3
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (234), (238) imply:
% 261.31/66.95 | (240) all_4_34 = all_4_37
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (239), (240) imply:
% 261.31/66.95 | (241) all_4_37 = n3
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (236), (241) imply:
% 261.31/66.95 | (242) all_4_32 = n3
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (36), (233), (242) imply:
% 261.31/66.95 | (243) sum(n3, n3) = all_4_88
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (25), (239), (241) imply:
% 261.31/66.95 | (244) sum(n3, n3) = all_4_89
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with n6, all_4_88, n3, n3, simplifying with
% 261.31/66.95 | (101), (243) gives:
% 261.31/66.95 | (245) all_4_88 = n6
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (68) with all_4_89, all_4_88, n3, n3, simplifying
% 261.31/66.95 | with (243), (244) gives:
% 261.31/66.95 | (246) all_4_88 = all_4_89
% 261.31/66.95 |
% 261.31/66.95 | COMBINE_EQS: (245), (246) imply:
% 261.31/66.95 | (247) all_4_89 = n6
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (32), (245) imply:
% 261.31/66.95 | (248) pred(n6) = all_4_28
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (40), (247) imply:
% 261.31/66.95 | (249) pred(n6) = all_4_31
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (51), (245) imply:
% 261.31/66.95 | (250) succ(n6) = all_4_30
% 261.31/66.95 |
% 261.31/66.95 | REDUCE: (10), (247) imply:
% 261.31/66.95 | (251) succ(n6) = all_4_27
% 261.31/66.95 |
% 261.31/66.95 | GROUND_INST: instantiating (45) with n7, all_4_27, n6, simplifying with (65),
% 261.31/66.95 | (251) gives:
% 261.41/66.95 | (252) all_4_27 = n7
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (45) with all_4_30, all_4_27, n6, simplifying with
% 261.41/66.95 | (250), (251) gives:
% 261.41/66.95 | (253) all_4_27 = all_4_30
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (90) with n5, all_4_28, n6, simplifying with (48),
% 261.41/66.95 | (248) gives:
% 261.41/66.95 | (254) all_4_28 = n5
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (90) with all_4_31, all_4_28, n6, simplifying with
% 261.41/66.95 | (248), (249) gives:
% 261.41/66.95 | (255) all_4_28 = all_4_31
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (252), (253) imply:
% 261.41/66.95 | (256) all_4_30 = n7
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (254), (255) imply:
% 261.41/66.95 | (257) all_4_31 = n5
% 261.41/66.95 |
% 261.41/66.95 | REDUCE: (1), (252), (254) imply:
% 261.41/66.95 | (258) sum(n5, n7) = all_4_26
% 261.41/66.95 |
% 261.41/66.95 | REDUCE: (13), (254), (256) imply:
% 261.41/66.95 | (259) sum(n5, n7) = all_4_24
% 261.41/66.95 |
% 261.41/66.95 | REDUCE: (22), (252), (257) imply:
% 261.41/66.95 | (260) sum(n5, n7) = all_4_25
% 261.41/66.95 |
% 261.41/66.95 | REDUCE: (34), (256), (257) imply:
% 261.41/66.95 | (261) sum(n5, n7) = all_4_29
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (68) with n1, all_4_25, n7, n5, simplifying with
% 261.41/66.95 | (42), (260) gives:
% 261.41/66.95 | (262) all_4_25 = n1
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (68) with all_4_26, all_4_25, n7, n5, simplifying
% 261.41/66.95 | with (258), (260) gives:
% 261.41/66.95 | (263) all_4_25 = all_4_26
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (68) with all_4_25, all_4_24, n7, n5, simplifying
% 261.41/66.95 | with (259), (260) gives:
% 261.41/66.95 | (264) all_4_24 = all_4_25
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (68) with all_4_29, all_4_24, n7, n5, simplifying
% 261.41/66.95 | with (259), (261) gives:
% 261.41/66.95 | (265) all_4_24 = all_4_29
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (264), (265) imply:
% 261.41/66.95 | (266) all_4_25 = all_4_29
% 261.41/66.95 |
% 261.41/66.95 | SIMP: (266) implies:
% 261.41/66.95 | (267) all_4_25 = all_4_29
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (262), (263) imply:
% 261.41/66.95 | (268) all_4_26 = n1
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (263), (267) imply:
% 261.41/66.95 | (269) all_4_26 = all_4_29
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (268), (269) imply:
% 261.41/66.95 | (270) all_4_29 = n1
% 261.41/66.95 |
% 261.41/66.95 | COMBINE_EQS: (265), (270) imply:
% 261.41/66.95 | (271) all_4_24 = n1
% 261.41/66.95 |
% 261.41/66.95 | REDUCE: (4), (262), (271) imply:
% 261.41/66.95 | (272) sum(n1, n1) = all_4_86
% 261.41/66.95 |
% 261.41/66.95 | REDUCE: (38), (268), (270) imply:
% 261.41/66.95 | (273) sum(n1, n1) = all_4_87
% 261.41/66.95 |
% 261.41/66.95 | GROUND_INST: instantiating (68) with n2, all_4_86, n1, n1, simplifying with
% 261.41/66.96 | (91), (272) gives:
% 261.41/66.96 | (274) all_4_86 = n2
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with all_4_87, all_4_86, n1, n1, simplifying
% 261.41/66.96 | with (272), (273) gives:
% 261.41/66.96 | (275) all_4_86 = all_4_87
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (274), (275) imply:
% 261.41/66.96 | (276) all_4_87 = n2
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (276) implies:
% 261.41/66.96 | (277) all_4_87 = n2
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (29), (274) imply:
% 261.41/66.96 | (278) pred(n2) = all_4_20
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (69), (277) imply:
% 261.41/66.96 | (279) pred(n2) = all_4_23
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (26), (274) imply:
% 261.41/66.96 | (280) succ(n2) = all_4_22
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (3), (277) imply:
% 261.41/66.96 | (281) succ(n2) = all_4_19
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with n3, all_4_19, n2, simplifying with (63),
% 261.41/66.96 | (281) gives:
% 261.41/66.96 | (282) all_4_19 = n3
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with all_4_22, all_4_19, n2, simplifying with
% 261.41/66.96 | (280), (281) gives:
% 261.41/66.96 | (283) all_4_19 = all_4_22
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with n1, all_4_20, n2, simplifying with (78),
% 261.41/66.96 | (278) gives:
% 261.41/66.96 | (284) all_4_20 = n1
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with all_4_23, all_4_20, n2, simplifying with
% 261.41/66.96 | (278), (279) gives:
% 261.41/66.96 | (285) all_4_20 = all_4_23
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (282), (283) imply:
% 261.41/66.96 | (286) all_4_22 = n3
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (284), (285) imply:
% 261.41/66.96 | (287) all_4_23 = n1
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (14), (282), (284) imply:
% 261.41/66.96 | (288) sum(n1, n3) = all_4_18
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (52), (284), (286) imply:
% 261.41/66.96 | (289) sum(n1, n3) = all_4_16
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (8), (282), (287) imply:
% 261.41/66.96 | (290) sum(n1, n3) = all_4_17
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (20), (286), (287) imply:
% 261.41/66.96 | (291) sum(n1, n3) = all_4_21
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with n4, all_4_17, n3, n1, simplifying with
% 261.41/66.96 | (89), (290) gives:
% 261.41/66.96 | (292) all_4_17 = n4
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with all_4_18, all_4_17, n3, n1, simplifying
% 261.41/66.96 | with (288), (290) gives:
% 261.41/66.96 | (293) all_4_17 = all_4_18
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with all_4_17, all_4_16, n3, n1, simplifying
% 261.41/66.96 | with (289), (290) gives:
% 261.41/66.96 | (294) all_4_16 = all_4_17
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with all_4_21, all_4_16, n3, n1, simplifying
% 261.41/66.96 | with (289), (291) gives:
% 261.41/66.96 | (295) all_4_16 = all_4_21
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (294), (295) imply:
% 261.41/66.96 | (296) all_4_17 = all_4_21
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (296) implies:
% 261.41/66.96 | (297) all_4_17 = all_4_21
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (292), (293) imply:
% 261.41/66.96 | (298) all_4_18 = n4
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (293), (297) imply:
% 261.41/66.96 | (299) all_4_18 = all_4_21
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (298), (299) imply:
% 261.41/66.96 | (300) all_4_21 = n4
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (295), (300) imply:
% 261.41/66.96 | (301) all_4_16 = n4
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (77), (292), (301) imply:
% 261.41/66.96 | (302) sum(n4, n4) = all_4_84
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (6), (298), (300) imply:
% 261.41/66.96 | (303) sum(n4, n4) = all_4_85
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with n8, all_4_84, n4, n4, simplifying with
% 261.41/66.96 | (82), (302) gives:
% 261.41/66.96 | (304) all_4_84 = n8
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (68) with all_4_85, all_4_84, n4, n4, simplifying
% 261.41/66.96 | with (302), (303) gives:
% 261.41/66.96 | (305) all_4_84 = all_4_85
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (304), (305) imply:
% 261.41/66.96 | (306) all_4_85 = n8
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (306) implies:
% 261.41/66.96 | (307) all_4_85 = n8
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (9), (304), (307) imply:
% 261.41/66.96 | (308) $false
% 261.41/66.96 |
% 261.41/66.96 | CLOSE: (308) is inconsistent.
% 261.41/66.96 |
% 261.41/66.96 End of proof
% 261.41/66.96
% 261.41/66.96 Sub-proof #169 shows that the following formulas are inconsistent:
% 261.41/66.96 ----------------------------------------------------------------
% 261.41/66.96 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.41/66.96 (2) succ(all_4_95) = all_4_51
% 261.41/66.96 (3) succ(all_4_87) = all_4_19
% 261.41/66.96 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.41/66.96 (5) succ(all_4_91) = all_4_35
% 261.41/66.96 (6) sum(all_4_21, all_4_18) = all_4_85
% 261.41/66.96 (7) succ(all_4_92) = all_4_46
% 261.41/66.96 (8) sum(all_4_23, all_4_19) = all_4_17
% 261.41/66.96 (9) ~ (all_4_84 = all_4_85)
% 261.41/66.96 (10) succ(all_4_89) = all_4_27
% 261.41/66.96 (11) pred(all_4_95) = all_4_55
% 261.41/66.96 (12) sum(all_4_44, all_4_46) = all_4_40
% 261.41/66.96 (13) sum(all_4_28, all_4_30) = all_4_24
% 261.41/66.96 (14) sum(all_4_20, all_4_19) = all_4_18
% 261.41/66.96 (15) sum(n9, n0) = n9
% 261.41/66.96 (16) sum(all_4_52, all_4_54) = all_4_48
% 261.41/66.96 (17) sum(n3, n3) = n6
% 261.41/66.96 (18) sum(all_4_60, all_4_62) = all_4_56
% 261.41/66.96 (19) sum(all_4_71, all_4_70) = all_4_69
% 261.41/66.96 (20) sum(all_4_55, all_4_54) = all_4_53
% 261.41/66.96 (21) sum(all_4_23, all_4_22) = all_4_21
% 261.41/66.96 (22) sum(all_4_63, all_4_59) = all_4_57
% 261.41/66.96 (23) sum(all_4_31, all_4_27) = all_4_25
% 261.41/66.96 (24) sum(all_4_63, all_4_62) = all_4_61
% 261.41/66.96 (25) succ(all_4_94) = all_4_54
% 261.41/66.96 (26) sum(all_4_37, all_4_34) = all_4_89
% 261.41/66.96 (27) succ(all_4_86) = all_4_22
% 261.41/66.96 (28) pred(n8) = n7
% 261.41/66.96 (29) pred(all_4_99) = all_4_71
% 261.41/66.96 (30) pred(all_4_86) = all_4_20
% 261.41/66.96 (31) succ(all_4_90) = all_4_38
% 261.41/66.96 (32) sum(n6, n8) = n3
% 261.41/66.96 (33) pred(all_4_88) = all_4_28
% 261.41/66.96 (34) sum(all_4_31, all_4_30) = all_4_29
% 261.41/66.96 (35) sum(all_4_57, all_4_56) = all_4_94
% 261.41/66.96 (36) sum(all_4_33, all_4_32) = all_4_88
% 261.41/66.96 (37) sum(all_4_47, all_4_43) = all_4_41
% 261.41/66.96 (38) sum(all_4_29, all_4_26) = all_4_87
% 261.41/66.96 (39) pred(all_4_91) = all_4_39
% 261.41/66.96 (40) pred(all_4_89) = all_4_31
% 261.41/66.96 (41) pred(all_4_92) = all_4_44
% 261.41/66.96 (42) sum(n5, n7) = n1
% 261.41/66.96 (43) sum(all_4_65, all_4_64) = all_4_96
% 261.41/66.96 (44) succ(n10) = n0
% 261.41/66.96 (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.41/66.96 | ~ (succ(v2) = v0))
% 261.41/66.96 (46) pred(all_4_97) = all_4_63
% 261.41/66.96 (47) succ(all_4_99) = all_4_67
% 261.41/66.96 (48) pred(n6) = n5
% 261.41/66.96 (49) pred(all_4_96) = all_4_60
% 261.41/66.96 (50) succ(all_4_96) = all_4_62
% 261.41/66.96 (51) succ(all_4_88) = all_4_30
% 261.41/66.96 (52) sum(all_4_20, all_4_22) = all_4_16
% 261.41/66.96 (53) sum(all_4_55, all_4_51) = all_4_49
% 261.41/66.96 (54) pred(n7) = n6
% 261.41/66.96 (55) sum(all_4_36, all_4_35) = all_4_34
% 261.41/66.96 (56) succ(n7) = n8
% 261.41/66.96 (57) sum(all_4_47, all_4_46) = all_4_45
% 261.41/66.96 (58) pred(all_4_93) = all_4_47
% 261.41/66.96 (59) sum(all_4_71, all_4_67) = all_4_65
% 261.41/66.96 (60) sum(all_4_60, all_4_59) = all_4_58
% 261.41/66.96 (61) sum(n5, n5) = n10
% 261.41/66.96 (62) all_4_99 = n8
% 261.41/66.96 (63) sum(all_4_41, all_4_40) = all_4_90
% 261.41/66.96 (64) succ(n2) = n3
% 261.41/66.96 (65) sum(all_4_68, all_4_67) = all_4_66
% 261.41/66.96 (66) succ(n6) = n7
% 261.41/66.96 (67) succ(n8) = n9
% 261.41/66.96 (68) sum(all_4_39, all_4_35) = all_4_33
% 261.41/66.96 (69) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.41/66.96 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.41/66.96 (70) pred(all_4_87) = all_4_23
% 261.41/66.96 (71) sum(all_4_45, all_4_42) = all_4_91
% 261.41/66.96 (72) sum(n9, n9) = n7
% 261.41/66.96 (73) sum(all_4_39, all_4_38) = all_4_37
% 261.41/66.96 (74) sum(n4, n4) = all_4_99
% 261.41/66.96 (75) sum(all_4_44, all_4_43) = all_4_42
% 261.41/66.96 (76) pred(n10) = n9
% 261.41/66.96 (77) sum(all_4_69, all_4_66) = all_4_97
% 261.41/66.96 (78) sum(n7, n9) = n5
% 261.41/66.96 (79) sum(all_4_17, all_4_16) = all_4_84
% 261.41/66.96 (80) pred(n2) = n1
% 261.41/66.96 (81) succ(all_4_98) = all_4_70
% 261.41/66.96 (82) all_4_98 = n8
% 261.41/66.96 (83) pred(all_4_90) = all_4_36
% 261.41/66.96 (84) sum(all_4_68, all_4_70) = all_4_64
% 261.41/66.96 (85) succ(all_4_97) = all_4_59
% 261.41/66.96 (86) sum(all_4_36, all_4_38) = all_4_32
% 261.41/66.96 (87) sum(all_4_61, all_4_58) = all_4_95
% 261.41/66.96 (88) sum(all_4_49, all_4_48) = all_4_92
% 261.41/66.96 (89) sum(n1, n3) = n4
% 261.41/66.96 (90) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.41/66.96 | ~ (pred(v2) = v0))
% 261.41/66.96 (91) sum(n1, n1) = n2
% 261.41/66.96 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.41/66.96 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.41/66.96 (94) succ(all_4_93) = all_4_43
% 261.41/66.96 (95) pred(all_4_98) = all_4_68
% 261.41/66.96 (96) pred(all_4_94) = all_4_52
% 261.41/66.96
% 261.41/66.96 Begin of proof
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (82), (95) imply:
% 261.41/66.96 | (97) pred(n8) = all_4_68
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (29), (62) imply:
% 261.41/66.96 | (98) pred(n8) = all_4_71
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (81), (82) imply:
% 261.41/66.96 | (99) succ(n8) = all_4_70
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (47), (62) imply:
% 261.41/66.96 | (100) succ(n8) = all_4_67
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (62), (74) imply:
% 261.41/66.96 | (101) sum(n4, n4) = n8
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with n9, all_4_67, n8, simplifying with (67),
% 261.41/66.96 | (100) gives:
% 261.41/66.96 | (102) all_4_67 = n9
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with all_4_70, all_4_67, n8, simplifying with
% 261.41/66.96 | (99), (100) gives:
% 261.41/66.96 | (103) all_4_67 = all_4_70
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with n7, all_4_68, n8, simplifying with (28),
% 261.41/66.96 | (97) gives:
% 261.41/66.96 | (104) all_4_68 = n7
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with all_4_71, all_4_68, n8, simplifying with
% 261.41/66.96 | (97), (98) gives:
% 261.41/66.96 | (105) all_4_68 = all_4_71
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (102), (103) imply:
% 261.41/66.96 | (106) all_4_70 = n9
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (104), (105) imply:
% 261.41/66.96 | (107) all_4_71 = n7
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (65), (102), (104) imply:
% 261.41/66.96 | (108) sum(n7, n9) = all_4_66
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (84), (104), (106) imply:
% 261.41/66.96 | (109) sum(n7, n9) = all_4_64
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (59), (102), (107) imply:
% 261.41/66.96 | (110) sum(n7, n9) = all_4_65
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (19), (106), (107) imply:
% 261.41/66.96 | (111) sum(n7, n9) = all_4_69
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n5, all_4_65, n9, n7, simplifying with
% 261.41/66.96 | (78), (110) gives:
% 261.41/66.96 | (112) all_4_65 = n5
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_66, all_4_65, n9, n7, simplifying
% 261.41/66.96 | with (108), (110) gives:
% 261.41/66.96 | (113) all_4_65 = all_4_66
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_66, all_4_64, n9, n7, simplifying
% 261.41/66.96 | with (108), (109) gives:
% 261.41/66.96 | (114) all_4_64 = all_4_66
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_69, all_4_64, n9, n7, simplifying
% 261.41/66.96 | with (109), (111) gives:
% 261.41/66.96 | (115) all_4_64 = all_4_69
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (114), (115) imply:
% 261.41/66.96 | (116) all_4_66 = all_4_69
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (116) implies:
% 261.41/66.96 | (117) all_4_66 = all_4_69
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (112), (113) imply:
% 261.41/66.96 | (118) all_4_66 = n5
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (118) implies:
% 261.41/66.96 | (119) all_4_66 = n5
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (117), (119) imply:
% 261.41/66.96 | (120) all_4_69 = n5
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (115), (120) imply:
% 261.41/66.96 | (121) all_4_64 = n5
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (43), (112), (121) imply:
% 261.41/66.96 | (122) sum(n5, n5) = all_4_96
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (77), (119), (120) imply:
% 261.41/66.96 | (123) sum(n5, n5) = all_4_97
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n10, all_4_96, n5, n5, simplifying with
% 261.41/66.96 | (61), (122) gives:
% 261.41/66.96 | (124) all_4_96 = n10
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_97, all_4_96, n5, n5, simplifying
% 261.41/66.96 | with (122), (123) gives:
% 261.41/66.96 | (125) all_4_96 = all_4_97
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (124), (125) imply:
% 261.41/66.96 | (126) all_4_97 = n10
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (126) implies:
% 261.41/66.96 | (127) all_4_97 = n10
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (49), (124) imply:
% 261.41/66.96 | (128) pred(n10) = all_4_60
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (46), (127) imply:
% 261.41/66.96 | (129) pred(n10) = all_4_63
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (50), (124) imply:
% 261.41/66.96 | (130) succ(n10) = all_4_62
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (85), (127) imply:
% 261.41/66.96 | (131) succ(n10) = all_4_59
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with n0, all_4_59, n10, simplifying with (44),
% 261.41/66.96 | (131) gives:
% 261.41/66.96 | (132) all_4_59 = n0
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with all_4_62, all_4_59, n10, simplifying with
% 261.41/66.96 | (130), (131) gives:
% 261.41/66.96 | (133) all_4_59 = all_4_62
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with n9, all_4_60, n10, simplifying with (76),
% 261.41/66.96 | (128) gives:
% 261.41/66.96 | (134) all_4_60 = n9
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with all_4_63, all_4_60, n10, simplifying with
% 261.41/66.96 | (128), (129) gives:
% 261.41/66.96 | (135) all_4_60 = all_4_63
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (132), (133) imply:
% 261.41/66.96 | (136) all_4_62 = n0
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (134), (135) imply:
% 261.41/66.96 | (137) all_4_63 = n9
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (60), (132), (134) imply:
% 261.41/66.96 | (138) sum(n9, n0) = all_4_58
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (18), (134), (136) imply:
% 261.41/66.96 | (139) sum(n9, n0) = all_4_56
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (22), (132), (137) imply:
% 261.41/66.96 | (140) sum(n9, n0) = all_4_57
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (24), (136), (137) imply:
% 261.41/66.96 | (141) sum(n9, n0) = all_4_61
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n9, all_4_57, n0, n9, simplifying with
% 261.41/66.96 | (15), (140) gives:
% 261.41/66.96 | (142) all_4_57 = n9
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_58, all_4_57, n0, n9, simplifying
% 261.41/66.96 | with (138), (140) gives:
% 261.41/66.96 | (143) all_4_57 = all_4_58
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_57, all_4_56, n0, n9, simplifying
% 261.41/66.96 | with (139), (140) gives:
% 261.41/66.96 | (144) all_4_56 = all_4_57
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_61, all_4_56, n0, n9, simplifying
% 261.41/66.96 | with (139), (141) gives:
% 261.41/66.96 | (145) all_4_56 = all_4_61
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (144), (145) imply:
% 261.41/66.96 | (146) all_4_57 = all_4_61
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (146) implies:
% 261.41/66.96 | (147) all_4_57 = all_4_61
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (142), (143) imply:
% 261.41/66.96 | (148) all_4_58 = n9
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (143), (147) imply:
% 261.41/66.96 | (149) all_4_58 = all_4_61
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (148), (149) imply:
% 261.41/66.96 | (150) all_4_61 = n9
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (145), (150) imply:
% 261.41/66.96 | (151) all_4_56 = n9
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (35), (142), (151) imply:
% 261.41/66.96 | (152) sum(n9, n9) = all_4_94
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (87), (148), (150) imply:
% 261.41/66.96 | (153) sum(n9, n9) = all_4_95
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n7, all_4_94, n9, n9, simplifying with
% 261.41/66.96 | (72), (152) gives:
% 261.41/66.96 | (154) all_4_94 = n7
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_95, all_4_94, n9, n9, simplifying
% 261.41/66.96 | with (152), (153) gives:
% 261.41/66.96 | (155) all_4_94 = all_4_95
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (154), (155) imply:
% 261.41/66.96 | (156) all_4_95 = n7
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (96), (154) imply:
% 261.41/66.96 | (157) pred(n7) = all_4_52
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (11), (156) imply:
% 261.41/66.96 | (158) pred(n7) = all_4_55
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (25), (154) imply:
% 261.41/66.96 | (159) succ(n7) = all_4_54
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (2), (156) imply:
% 261.41/66.96 | (160) succ(n7) = all_4_51
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with n8, all_4_51, n7, simplifying with (56),
% 261.41/66.96 | (160) gives:
% 261.41/66.96 | (161) all_4_51 = n8
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with all_4_54, all_4_51, n7, simplifying with
% 261.41/66.96 | (159), (160) gives:
% 261.41/66.96 | (162) all_4_51 = all_4_54
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with n6, all_4_52, n7, simplifying with (54),
% 261.41/66.96 | (157) gives:
% 261.41/66.96 | (163) all_4_52 = n6
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with all_4_55, all_4_52, n7, simplifying with
% 261.41/66.96 | (157), (158) gives:
% 261.41/66.96 | (164) all_4_52 = all_4_55
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (161), (162) imply:
% 261.41/66.96 | (165) all_4_54 = n8
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (163), (164) imply:
% 261.41/66.96 | (166) all_4_55 = n6
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (166) implies:
% 261.41/66.96 | (167) all_4_55 = n6
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (92), (161), (163) imply:
% 261.41/66.96 | (168) sum(n6, n8) = all_4_50
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (16), (163), (165) imply:
% 261.41/66.96 | (169) sum(n6, n8) = all_4_48
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (53), (161), (167) imply:
% 261.41/66.96 | (170) sum(n6, n8) = all_4_49
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (20), (165), (167) imply:
% 261.41/66.96 | (171) sum(n6, n8) = all_4_53
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n3, all_4_49, n8, n6, simplifying with
% 261.41/66.96 | (32), (170) gives:
% 261.41/66.96 | (172) all_4_49 = n3
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_50, all_4_49, n8, n6, simplifying
% 261.41/66.96 | with (168), (170) gives:
% 261.41/66.96 | (173) all_4_49 = all_4_50
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_49, all_4_48, n8, n6, simplifying
% 261.41/66.96 | with (169), (170) gives:
% 261.41/66.96 | (174) all_4_48 = all_4_49
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_53, all_4_48, n8, n6, simplifying
% 261.41/66.96 | with (169), (171) gives:
% 261.41/66.96 | (175) all_4_48 = all_4_53
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (174), (175) imply:
% 261.41/66.96 | (176) all_4_49 = all_4_53
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (176) implies:
% 261.41/66.96 | (177) all_4_49 = all_4_53
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (172), (173) imply:
% 261.41/66.96 | (178) all_4_50 = n3
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (173), (177) imply:
% 261.41/66.96 | (179) all_4_50 = all_4_53
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (178), (179) imply:
% 261.41/66.96 | (180) all_4_53 = n3
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (175), (180) imply:
% 261.41/66.96 | (181) all_4_48 = n3
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (88), (172), (181) imply:
% 261.41/66.96 | (182) sum(n3, n3) = all_4_92
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (93), (178), (180) imply:
% 261.41/66.96 | (183) sum(n3, n3) = all_4_93
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n6, all_4_92, n3, n3, simplifying with
% 261.41/66.96 | (17), (182) gives:
% 261.41/66.96 | (184) all_4_92 = n6
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_93, all_4_92, n3, n3, simplifying
% 261.41/66.96 | with (182), (183) gives:
% 261.41/66.96 | (185) all_4_92 = all_4_93
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (184), (185) imply:
% 261.41/66.96 | (186) all_4_93 = n6
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (186) implies:
% 261.41/66.96 | (187) all_4_93 = n6
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (41), (184) imply:
% 261.41/66.96 | (188) pred(n6) = all_4_44
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (58), (187) imply:
% 261.41/66.96 | (189) pred(n6) = all_4_47
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (7), (184) imply:
% 261.41/66.96 | (190) succ(n6) = all_4_46
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (94), (187) imply:
% 261.41/66.96 | (191) succ(n6) = all_4_43
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with n7, all_4_43, n6, simplifying with (66),
% 261.41/66.96 | (191) gives:
% 261.41/66.96 | (192) all_4_43 = n7
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with all_4_46, all_4_43, n6, simplifying with
% 261.41/66.96 | (190), (191) gives:
% 261.41/66.96 | (193) all_4_43 = all_4_46
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with n5, all_4_44, n6, simplifying with (48),
% 261.41/66.96 | (188) gives:
% 261.41/66.96 | (194) all_4_44 = n5
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with all_4_47, all_4_44, n6, simplifying with
% 261.41/66.96 | (188), (189) gives:
% 261.41/66.96 | (195) all_4_44 = all_4_47
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (192), (193) imply:
% 261.41/66.96 | (196) all_4_46 = n7
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (194), (195) imply:
% 261.41/66.96 | (197) all_4_47 = n5
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (75), (192), (194) imply:
% 261.41/66.96 | (198) sum(n5, n7) = all_4_42
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (12), (194), (196) imply:
% 261.41/66.96 | (199) sum(n5, n7) = all_4_40
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (37), (192), (197) imply:
% 261.41/66.96 | (200) sum(n5, n7) = all_4_41
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (57), (196), (197) imply:
% 261.41/66.96 | (201) sum(n5, n7) = all_4_45
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n1, all_4_41, n7, n5, simplifying with
% 261.41/66.96 | (42), (200) gives:
% 261.41/66.96 | (202) all_4_41 = n1
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_42, all_4_41, n7, n5, simplifying
% 261.41/66.96 | with (198), (200) gives:
% 261.41/66.96 | (203) all_4_41 = all_4_42
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_41, all_4_40, n7, n5, simplifying
% 261.41/66.96 | with (199), (200) gives:
% 261.41/66.96 | (204) all_4_40 = all_4_41
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_45, all_4_40, n7, n5, simplifying
% 261.41/66.96 | with (199), (201) gives:
% 261.41/66.96 | (205) all_4_40 = all_4_45
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (204), (205) imply:
% 261.41/66.96 | (206) all_4_41 = all_4_45
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (206) implies:
% 261.41/66.96 | (207) all_4_41 = all_4_45
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (202), (203) imply:
% 261.41/66.96 | (208) all_4_42 = n1
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (203), (207) imply:
% 261.41/66.96 | (209) all_4_42 = all_4_45
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (208), (209) imply:
% 261.41/66.96 | (210) all_4_45 = n1
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (210) implies:
% 261.41/66.96 | (211) all_4_45 = n1
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (205), (211) imply:
% 261.41/66.96 | (212) all_4_40 = n1
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (63), (202), (212) imply:
% 261.41/66.96 | (213) sum(n1, n1) = all_4_90
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (71), (208), (211) imply:
% 261.41/66.96 | (214) sum(n1, n1) = all_4_91
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n2, all_4_90, n1, n1, simplifying with
% 261.41/66.96 | (91), (213) gives:
% 261.41/66.96 | (215) all_4_90 = n2
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_91, all_4_90, n1, n1, simplifying
% 261.41/66.96 | with (213), (214) gives:
% 261.41/66.96 | (216) all_4_90 = all_4_91
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (215), (216) imply:
% 261.41/66.96 | (217) all_4_91 = n2
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (217) implies:
% 261.41/66.96 | (218) all_4_91 = n2
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (83), (215) imply:
% 261.41/66.96 | (219) pred(n2) = all_4_36
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (39), (218) imply:
% 261.41/66.96 | (220) pred(n2) = all_4_39
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (31), (215) imply:
% 261.41/66.96 | (221) succ(n2) = all_4_38
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (5), (218) imply:
% 261.41/66.96 | (222) succ(n2) = all_4_35
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with n3, all_4_35, n2, simplifying with (64),
% 261.41/66.96 | (222) gives:
% 261.41/66.96 | (223) all_4_35 = n3
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (45) with all_4_38, all_4_35, n2, simplifying with
% 261.41/66.96 | (221), (222) gives:
% 261.41/66.96 | (224) all_4_35 = all_4_38
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with n1, all_4_36, n2, simplifying with (80),
% 261.41/66.96 | (219) gives:
% 261.41/66.96 | (225) all_4_36 = n1
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (90) with all_4_39, all_4_36, n2, simplifying with
% 261.41/66.96 | (219), (220) gives:
% 261.41/66.96 | (226) all_4_36 = all_4_39
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (223), (224) imply:
% 261.41/66.96 | (227) all_4_38 = n3
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (225), (226) imply:
% 261.41/66.96 | (228) all_4_39 = n1
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (55), (223), (225) imply:
% 261.41/66.96 | (229) sum(n1, n3) = all_4_34
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (86), (225), (227) imply:
% 261.41/66.96 | (230) sum(n1, n3) = all_4_32
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (68), (223), (228) imply:
% 261.41/66.96 | (231) sum(n1, n3) = all_4_33
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (73), (227), (228) imply:
% 261.41/66.96 | (232) sum(n1, n3) = all_4_37
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n4, all_4_33, n3, n1, simplifying with
% 261.41/66.96 | (89), (231) gives:
% 261.41/66.96 | (233) all_4_33 = n4
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_34, all_4_33, n3, n1, simplifying
% 261.41/66.96 | with (229), (231) gives:
% 261.41/66.96 | (234) all_4_33 = all_4_34
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_33, all_4_32, n3, n1, simplifying
% 261.41/66.96 | with (230), (231) gives:
% 261.41/66.96 | (235) all_4_32 = all_4_33
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_37, all_4_32, n3, n1, simplifying
% 261.41/66.96 | with (230), (232) gives:
% 261.41/66.96 | (236) all_4_32 = all_4_37
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (235), (236) imply:
% 261.41/66.96 | (237) all_4_33 = all_4_37
% 261.41/66.96 |
% 261.41/66.96 | SIMP: (237) implies:
% 261.41/66.96 | (238) all_4_33 = all_4_37
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (233), (234) imply:
% 261.41/66.96 | (239) all_4_34 = n4
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (234), (238) imply:
% 261.41/66.96 | (240) all_4_34 = all_4_37
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (239), (240) imply:
% 261.41/66.96 | (241) all_4_37 = n4
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (236), (241) imply:
% 261.41/66.96 | (242) all_4_32 = n4
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (36), (233), (242) imply:
% 261.41/66.96 | (243) sum(n4, n4) = all_4_88
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (26), (239), (241) imply:
% 261.41/66.96 | (244) sum(n4, n4) = all_4_89
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with n8, all_4_88, n4, n4, simplifying with
% 261.41/66.96 | (101), (243) gives:
% 261.41/66.96 | (245) all_4_88 = n8
% 261.41/66.96 |
% 261.41/66.96 | GROUND_INST: instantiating (69) with all_4_89, all_4_88, n4, n4, simplifying
% 261.41/66.96 | with (243), (244) gives:
% 261.41/66.96 | (246) all_4_88 = all_4_89
% 261.41/66.96 |
% 261.41/66.96 | COMBINE_EQS: (245), (246) imply:
% 261.41/66.96 | (247) all_4_89 = n8
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (33), (245) imply:
% 261.41/66.96 | (248) pred(n8) = all_4_28
% 261.41/66.96 |
% 261.41/66.96 | REDUCE: (40), (247) imply:
% 261.41/66.97 | (249) pred(n8) = all_4_31
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (51), (245) imply:
% 261.41/66.97 | (250) succ(n8) = all_4_30
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (10), (247) imply:
% 261.41/66.97 | (251) succ(n8) = all_4_27
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (45) with n9, all_4_27, n8, simplifying with (67),
% 261.41/66.97 | (251) gives:
% 261.41/66.97 | (252) all_4_27 = n9
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (45) with all_4_30, all_4_27, n8, simplifying with
% 261.41/66.97 | (250), (251) gives:
% 261.41/66.97 | (253) all_4_27 = all_4_30
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n7, all_4_28, n8, simplifying with (28),
% 261.41/66.97 | (248) gives:
% 261.41/66.97 | (254) all_4_28 = n7
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_31, all_4_28, n8, simplifying with
% 261.41/66.97 | (248), (249) gives:
% 261.41/66.97 | (255) all_4_28 = all_4_31
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (252), (253) imply:
% 261.41/66.97 | (256) all_4_30 = n9
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (254), (255) imply:
% 261.41/66.97 | (257) all_4_31 = n7
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (1), (252), (254) imply:
% 261.41/66.97 | (258) sum(n7, n9) = all_4_26
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (13), (254), (256) imply:
% 261.41/66.97 | (259) sum(n7, n9) = all_4_24
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (23), (252), (257) imply:
% 261.41/66.97 | (260) sum(n7, n9) = all_4_25
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (34), (256), (257) imply:
% 261.41/66.97 | (261) sum(n7, n9) = all_4_29
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with n5, all_4_25, n9, n7, simplifying with
% 261.41/66.97 | (78), (260) gives:
% 261.41/66.97 | (262) all_4_25 = n5
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_26, all_4_25, n9, n7, simplifying
% 261.41/66.97 | with (258), (260) gives:
% 261.41/66.97 | (263) all_4_25 = all_4_26
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_25, all_4_24, n9, n7, simplifying
% 261.41/66.97 | with (259), (260) gives:
% 261.41/66.97 | (264) all_4_24 = all_4_25
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_29, all_4_24, n9, n7, simplifying
% 261.41/66.97 | with (259), (261) gives:
% 261.41/66.97 | (265) all_4_24 = all_4_29
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (264), (265) imply:
% 261.41/66.97 | (266) all_4_25 = all_4_29
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (266) implies:
% 261.41/66.97 | (267) all_4_25 = all_4_29
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (262), (263) imply:
% 261.41/66.97 | (268) all_4_26 = n5
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (263), (267) imply:
% 261.41/66.97 | (269) all_4_26 = all_4_29
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (268), (269) imply:
% 261.41/66.97 | (270) all_4_29 = n5
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (265), (270) imply:
% 261.41/66.97 | (271) all_4_24 = n5
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (4), (262), (271) imply:
% 261.41/66.97 | (272) sum(n5, n5) = all_4_86
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (38), (268), (270) imply:
% 261.41/66.97 | (273) sum(n5, n5) = all_4_87
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with n10, all_4_86, n5, n5, simplifying with
% 261.41/66.97 | (61), (272) gives:
% 261.41/66.97 | (274) all_4_86 = n10
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_87, all_4_86, n5, n5, simplifying
% 261.41/66.97 | with (272), (273) gives:
% 261.41/66.97 | (275) all_4_86 = all_4_87
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (274), (275) imply:
% 261.41/66.97 | (276) all_4_87 = n10
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (276) implies:
% 261.41/66.97 | (277) all_4_87 = n10
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (30), (274) imply:
% 261.41/66.97 | (278) pred(n10) = all_4_20
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (70), (277) imply:
% 261.41/66.97 | (279) pred(n10) = all_4_23
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (27), (274) imply:
% 261.41/66.97 | (280) succ(n10) = all_4_22
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (3), (277) imply:
% 261.41/66.97 | (281) succ(n10) = all_4_19
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (45) with n0, all_4_19, n10, simplifying with (44),
% 261.41/66.97 | (281) gives:
% 261.41/66.97 | (282) all_4_19 = n0
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (45) with all_4_22, all_4_19, n10, simplifying with
% 261.41/66.97 | (280), (281) gives:
% 261.41/66.97 | (283) all_4_19 = all_4_22
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n9, all_4_20, n10, simplifying with (76),
% 261.41/66.97 | (278) gives:
% 261.41/66.97 | (284) all_4_20 = n9
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_23, all_4_20, n10, simplifying with
% 261.41/66.97 | (278), (279) gives:
% 261.41/66.97 | (285) all_4_20 = all_4_23
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (282), (283) imply:
% 261.41/66.97 | (286) all_4_22 = n0
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (284), (285) imply:
% 261.41/66.97 | (287) all_4_23 = n9
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (14), (282), (284) imply:
% 261.41/66.97 | (288) sum(n9, n0) = all_4_18
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (52), (284), (286) imply:
% 261.41/66.97 | (289) sum(n9, n0) = all_4_16
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (8), (282), (287) imply:
% 261.41/66.97 | (290) sum(n9, n0) = all_4_17
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (21), (286), (287) imply:
% 261.41/66.97 | (291) sum(n9, n0) = all_4_21
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with n9, all_4_17, n0, n9, simplifying with
% 261.41/66.97 | (15), (290) gives:
% 261.41/66.97 | (292) all_4_17 = n9
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_18, all_4_17, n0, n9, simplifying
% 261.41/66.97 | with (288), (290) gives:
% 261.41/66.97 | (293) all_4_17 = all_4_18
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_17, all_4_16, n0, n9, simplifying
% 261.41/66.97 | with (289), (290) gives:
% 261.41/66.97 | (294) all_4_16 = all_4_17
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_21, all_4_16, n0, n9, simplifying
% 261.41/66.97 | with (289), (291) gives:
% 261.41/66.97 | (295) all_4_16 = all_4_21
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (294), (295) imply:
% 261.41/66.97 | (296) all_4_17 = all_4_21
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (296) implies:
% 261.41/66.97 | (297) all_4_17 = all_4_21
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (292), (293) imply:
% 261.41/66.97 | (298) all_4_18 = n9
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (293), (297) imply:
% 261.41/66.97 | (299) all_4_18 = all_4_21
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (298), (299) imply:
% 261.41/66.97 | (300) all_4_21 = n9
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (295), (300) imply:
% 261.41/66.97 | (301) all_4_16 = n9
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (79), (292), (301) imply:
% 261.41/66.97 | (302) sum(n9, n9) = all_4_84
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (6), (298), (300) imply:
% 261.41/66.97 | (303) sum(n9, n9) = all_4_85
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with n7, all_4_84, n9, n9, simplifying with
% 261.41/66.97 | (72), (302) gives:
% 261.41/66.97 | (304) all_4_84 = n7
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (69) with all_4_85, all_4_84, n9, n9, simplifying
% 261.41/66.97 | with (302), (303) gives:
% 261.41/66.97 | (305) all_4_84 = all_4_85
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (304), (305) imply:
% 261.41/66.97 | (306) all_4_85 = n7
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (306) implies:
% 261.41/66.97 | (307) all_4_85 = n7
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (9), (304), (307) imply:
% 261.41/66.97 | (308) $false
% 261.41/66.97 |
% 261.41/66.97 | CLOSE: (308) is inconsistent.
% 261.41/66.97 |
% 261.41/66.97 End of proof
% 261.41/66.97
% 261.41/66.97 Sub-proof #170 shows that the following formulas are inconsistent:
% 261.41/66.97 ----------------------------------------------------------------
% 261.41/66.97 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.41/66.97 (2) succ(all_4_95) = all_4_51
% 261.41/66.97 (3) succ(all_4_87) = all_4_19
% 261.41/66.97 (4) sum(all_4_25, all_4_24) = all_4_86
% 261.41/66.97 (5) succ(all_4_91) = all_4_35
% 261.41/66.97 (6) sum(all_4_21, all_4_18) = all_4_85
% 261.41/66.97 (7) succ(all_4_92) = all_4_46
% 261.41/66.97 (8) sum(all_4_23, all_4_19) = all_4_17
% 261.41/66.97 (9) ~ (all_4_84 = all_4_85)
% 261.41/66.97 (10) succ(all_4_89) = all_4_27
% 261.41/66.97 (11) pred(all_4_95) = all_4_55
% 261.41/66.97 (12) sum(all_4_44, all_4_46) = all_4_40
% 261.41/66.97 (13) sum(all_4_28, all_4_30) = all_4_24
% 261.41/66.97 (14) sum(all_4_20, all_4_19) = all_4_18
% 261.41/66.97 (15) sum(n9, n0) = n9
% 261.41/66.97 (16) sum(all_4_52, all_4_54) = all_4_48
% 261.41/66.97 (17) sum(n3, n3) = n6
% 261.41/66.97 (18) sum(all_4_60, all_4_62) = all_4_56
% 261.41/66.97 (19) sum(all_4_71, all_4_70) = all_4_69
% 261.41/66.97 (20) sum(all_4_55, all_4_54) = all_4_53
% 261.41/66.97 (21) sum(all_4_23, all_4_22) = all_4_21
% 261.41/66.97 (22) sum(all_4_63, all_4_59) = all_4_57
% 261.41/66.97 (23) sum(all_4_31, all_4_27) = all_4_25
% 261.41/66.97 (24) sum(all_4_63, all_4_62) = all_4_61
% 261.41/66.97 (25) succ(all_4_94) = all_4_54
% 261.41/66.97 (26) sum(all_4_37, all_4_34) = all_4_89
% 261.41/66.97 (27) succ(all_4_86) = all_4_22
% 261.41/66.97 (28) pred(n8) = n7
% 261.41/66.97 (29) pred(all_4_99) = all_4_71
% 261.41/66.97 (30) pred(all_4_86) = all_4_20
% 261.41/66.97 (31) succ(all_4_90) = all_4_38
% 261.41/66.97 (32) sum(n6, n8) = n3
% 261.41/66.97 (33) pred(all_4_88) = all_4_28
% 261.41/66.97 (34) sum(all_4_31, all_4_30) = all_4_29
% 261.41/66.97 (35) sum(all_4_57, all_4_56) = all_4_94
% 261.41/66.97 (36) sum(all_4_33, all_4_32) = all_4_88
% 261.41/66.97 (37) sum(all_4_47, all_4_43) = all_4_41
% 261.41/66.97 (38) all_4_99 = n10
% 261.41/66.97 (39) sum(all_4_29, all_4_26) = all_4_87
% 261.41/66.97 (40) pred(all_4_91) = all_4_39
% 261.41/66.97 (41) pred(all_4_89) = all_4_31
% 261.41/66.97 (42) pred(all_4_92) = all_4_44
% 261.41/66.97 (43) sum(n5, n7) = n1
% 261.41/66.97 (44) sum(all_4_65, all_4_64) = all_4_96
% 261.41/66.97 (45) succ(n10) = n0
% 261.41/66.97 (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.41/66.97 | ~ (succ(v2) = v0))
% 261.41/66.97 (47) pred(all_4_97) = all_4_63
% 261.41/66.97 (48) succ(all_4_99) = all_4_67
% 261.41/66.97 (49) pred(n6) = n5
% 261.41/66.97 (50) pred(all_4_96) = all_4_60
% 261.41/66.97 (51) succ(all_4_96) = all_4_62
% 261.41/66.97 (52) succ(all_4_88) = all_4_30
% 261.41/66.97 (53) sum(all_4_20, all_4_22) = all_4_16
% 261.41/66.97 (54) sum(all_4_55, all_4_51) = all_4_49
% 261.41/66.97 (55) pred(n7) = n6
% 261.41/66.97 (56) sum(all_4_36, all_4_35) = all_4_34
% 261.41/66.97 (57) succ(n7) = n8
% 261.41/66.97 (58) sum(all_4_47, all_4_46) = all_4_45
% 261.41/66.97 (59) pred(all_4_93) = all_4_47
% 261.41/66.97 (60) sum(all_4_71, all_4_67) = all_4_65
% 261.41/66.97 (61) sum(n5, n5) = all_4_99
% 261.41/66.97 (62) sum(all_4_60, all_4_59) = all_4_58
% 261.41/66.97 (63) all_4_98 = n10
% 261.41/66.97 (64) sum(all_4_41, all_4_40) = all_4_90
% 261.41/66.97 (65) succ(n2) = n3
% 261.41/66.97 (66) sum(all_4_68, all_4_67) = all_4_66
% 261.41/66.97 (67) succ(n6) = n7
% 261.41/66.97 (68) succ(n8) = n9
% 261.41/66.97 (69) sum(all_4_39, all_4_35) = all_4_33
% 261.41/66.97 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.41/66.97 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.41/66.97 (71) pred(all_4_87) = all_4_23
% 261.41/66.97 (72) sum(all_4_45, all_4_42) = all_4_91
% 261.41/66.97 (73) sum(n9, n9) = n7
% 261.41/66.97 (74) sum(all_4_39, all_4_38) = all_4_37
% 261.41/66.97 (75) sum(all_4_44, all_4_43) = all_4_42
% 261.41/66.97 (76) pred(n10) = n9
% 261.41/66.97 (77) sum(all_4_69, all_4_66) = all_4_97
% 261.41/66.97 (78) sum(n7, n9) = n5
% 261.41/66.97 (79) sum(all_4_17, all_4_16) = all_4_84
% 261.41/66.97 (80) pred(n2) = n1
% 261.41/66.97 (81) succ(all_4_98) = all_4_70
% 261.41/66.97 (82) pred(all_4_90) = all_4_36
% 261.41/66.97 (83) sum(n4, n4) = n8
% 261.41/66.97 (84) sum(all_4_68, all_4_70) = all_4_64
% 261.41/66.97 (85) succ(all_4_97) = all_4_59
% 261.41/66.97 (86) sum(all_4_36, all_4_38) = all_4_32
% 261.41/66.97 (87) sum(all_4_61, all_4_58) = all_4_95
% 261.41/66.97 (88) sum(all_4_49, all_4_48) = all_4_92
% 261.41/66.97 (89) sum(n1, n3) = n4
% 261.41/66.97 (90) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.41/66.97 | ~ (pred(v2) = v0))
% 261.41/66.97 (91) sum(n1, n1) = n2
% 261.41/66.97 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.41/66.97 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.41/66.97 (94) succ(all_4_93) = all_4_43
% 261.41/66.97 (95) pred(all_4_98) = all_4_68
% 261.41/66.97 (96) pred(all_4_94) = all_4_52
% 261.41/66.97
% 261.41/66.97 Begin of proof
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (63), (95) imply:
% 261.41/66.97 | (97) pred(n10) = all_4_68
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (29), (38) imply:
% 261.41/66.97 | (98) pred(n10) = all_4_71
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (63), (81) imply:
% 261.41/66.97 | (99) succ(n10) = all_4_70
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (38), (48) imply:
% 261.41/66.97 | (100) succ(n10) = all_4_67
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (38), (61) imply:
% 261.41/66.97 | (101) sum(n5, n5) = n10
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with n0, all_4_67, n10, simplifying with (45),
% 261.41/66.97 | (100) gives:
% 261.41/66.97 | (102) all_4_67 = n0
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with all_4_70, all_4_67, n10, simplifying with
% 261.41/66.97 | (99), (100) gives:
% 261.41/66.97 | (103) all_4_67 = all_4_70
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n9, all_4_68, n10, simplifying with (76),
% 261.41/66.97 | (97) gives:
% 261.41/66.97 | (104) all_4_68 = n9
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_71, all_4_68, n10, simplifying with
% 261.41/66.97 | (97), (98) gives:
% 261.41/66.97 | (105) all_4_68 = all_4_71
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (102), (103) imply:
% 261.41/66.97 | (106) all_4_70 = n0
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (104), (105) imply:
% 261.41/66.97 | (107) all_4_71 = n9
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (66), (102), (104) imply:
% 261.41/66.97 | (108) sum(n9, n0) = all_4_66
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (84), (104), (106) imply:
% 261.41/66.97 | (109) sum(n9, n0) = all_4_64
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (60), (102), (107) imply:
% 261.41/66.97 | (110) sum(n9, n0) = all_4_65
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (19), (106), (107) imply:
% 261.41/66.97 | (111) sum(n9, n0) = all_4_69
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n9, all_4_65, n0, n9, simplifying with
% 261.41/66.97 | (15), (110) gives:
% 261.41/66.97 | (112) all_4_65 = n9
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_66, all_4_65, n0, n9, simplifying
% 261.41/66.97 | with (108), (110) gives:
% 261.41/66.97 | (113) all_4_65 = all_4_66
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_66, all_4_64, n0, n9, simplifying
% 261.41/66.97 | with (108), (109) gives:
% 261.41/66.97 | (114) all_4_64 = all_4_66
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_69, all_4_64, n0, n9, simplifying
% 261.41/66.97 | with (109), (111) gives:
% 261.41/66.97 | (115) all_4_64 = all_4_69
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (114), (115) imply:
% 261.41/66.97 | (116) all_4_66 = all_4_69
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (116) implies:
% 261.41/66.97 | (117) all_4_66 = all_4_69
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (112), (113) imply:
% 261.41/66.97 | (118) all_4_66 = n9
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (118) implies:
% 261.41/66.97 | (119) all_4_66 = n9
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (117), (119) imply:
% 261.41/66.97 | (120) all_4_69 = n9
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (115), (120) imply:
% 261.41/66.97 | (121) all_4_64 = n9
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (44), (112), (121) imply:
% 261.41/66.97 | (122) sum(n9, n9) = all_4_96
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (77), (119), (120) imply:
% 261.41/66.97 | (123) sum(n9, n9) = all_4_97
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n7, all_4_96, n9, n9, simplifying with
% 261.41/66.97 | (73), (122) gives:
% 261.41/66.97 | (124) all_4_96 = n7
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_97, all_4_96, n9, n9, simplifying
% 261.41/66.97 | with (122), (123) gives:
% 261.41/66.97 | (125) all_4_96 = all_4_97
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (124), (125) imply:
% 261.41/66.97 | (126) all_4_97 = n7
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (126) implies:
% 261.41/66.97 | (127) all_4_97 = n7
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (50), (124) imply:
% 261.41/66.97 | (128) pred(n7) = all_4_60
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (47), (127) imply:
% 261.41/66.97 | (129) pred(n7) = all_4_63
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (51), (124) imply:
% 261.41/66.97 | (130) succ(n7) = all_4_62
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (85), (127) imply:
% 261.41/66.97 | (131) succ(n7) = all_4_59
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with n8, all_4_59, n7, simplifying with (57),
% 261.41/66.97 | (131) gives:
% 261.41/66.97 | (132) all_4_59 = n8
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with all_4_62, all_4_59, n7, simplifying with
% 261.41/66.97 | (130), (131) gives:
% 261.41/66.97 | (133) all_4_59 = all_4_62
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n6, all_4_60, n7, simplifying with (55),
% 261.41/66.97 | (128) gives:
% 261.41/66.97 | (134) all_4_60 = n6
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_63, all_4_60, n7, simplifying with
% 261.41/66.97 | (128), (129) gives:
% 261.41/66.97 | (135) all_4_60 = all_4_63
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (132), (133) imply:
% 261.41/66.97 | (136) all_4_62 = n8
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (134), (135) imply:
% 261.41/66.97 | (137) all_4_63 = n6
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (62), (132), (134) imply:
% 261.41/66.97 | (138) sum(n6, n8) = all_4_58
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (18), (134), (136) imply:
% 261.41/66.97 | (139) sum(n6, n8) = all_4_56
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (22), (132), (137) imply:
% 261.41/66.97 | (140) sum(n6, n8) = all_4_57
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (24), (136), (137) imply:
% 261.41/66.97 | (141) sum(n6, n8) = all_4_61
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n3, all_4_57, n8, n6, simplifying with
% 261.41/66.97 | (32), (140) gives:
% 261.41/66.97 | (142) all_4_57 = n3
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_58, all_4_57, n8, n6, simplifying
% 261.41/66.97 | with (138), (140) gives:
% 261.41/66.97 | (143) all_4_57 = all_4_58
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_57, all_4_56, n8, n6, simplifying
% 261.41/66.97 | with (139), (140) gives:
% 261.41/66.97 | (144) all_4_56 = all_4_57
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_61, all_4_56, n8, n6, simplifying
% 261.41/66.97 | with (139), (141) gives:
% 261.41/66.97 | (145) all_4_56 = all_4_61
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (144), (145) imply:
% 261.41/66.97 | (146) all_4_57 = all_4_61
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (146) implies:
% 261.41/66.97 | (147) all_4_57 = all_4_61
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (142), (143) imply:
% 261.41/66.97 | (148) all_4_58 = n3
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (143), (147) imply:
% 261.41/66.97 | (149) all_4_58 = all_4_61
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (148), (149) imply:
% 261.41/66.97 | (150) all_4_61 = n3
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (145), (150) imply:
% 261.41/66.97 | (151) all_4_56 = n3
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (35), (142), (151) imply:
% 261.41/66.97 | (152) sum(n3, n3) = all_4_94
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (87), (148), (150) imply:
% 261.41/66.97 | (153) sum(n3, n3) = all_4_95
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n6, all_4_94, n3, n3, simplifying with
% 261.41/66.97 | (17), (152) gives:
% 261.41/66.97 | (154) all_4_94 = n6
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_95, all_4_94, n3, n3, simplifying
% 261.41/66.97 | with (152), (153) gives:
% 261.41/66.97 | (155) all_4_94 = all_4_95
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (154), (155) imply:
% 261.41/66.97 | (156) all_4_95 = n6
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (96), (154) imply:
% 261.41/66.97 | (157) pred(n6) = all_4_52
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (11), (156) imply:
% 261.41/66.97 | (158) pred(n6) = all_4_55
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (25), (154) imply:
% 261.41/66.97 | (159) succ(n6) = all_4_54
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (2), (156) imply:
% 261.41/66.97 | (160) succ(n6) = all_4_51
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with n7, all_4_51, n6, simplifying with (67),
% 261.41/66.97 | (160) gives:
% 261.41/66.97 | (161) all_4_51 = n7
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with all_4_54, all_4_51, n6, simplifying with
% 261.41/66.97 | (159), (160) gives:
% 261.41/66.97 | (162) all_4_51 = all_4_54
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n5, all_4_52, n6, simplifying with (49),
% 261.41/66.97 | (157) gives:
% 261.41/66.97 | (163) all_4_52 = n5
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_55, all_4_52, n6, simplifying with
% 261.41/66.97 | (157), (158) gives:
% 261.41/66.97 | (164) all_4_52 = all_4_55
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (161), (162) imply:
% 261.41/66.97 | (165) all_4_54 = n7
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (163), (164) imply:
% 261.41/66.97 | (166) all_4_55 = n5
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (166) implies:
% 261.41/66.97 | (167) all_4_55 = n5
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (92), (161), (163) imply:
% 261.41/66.97 | (168) sum(n5, n7) = all_4_50
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (16), (163), (165) imply:
% 261.41/66.97 | (169) sum(n5, n7) = all_4_48
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (54), (161), (167) imply:
% 261.41/66.97 | (170) sum(n5, n7) = all_4_49
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (20), (165), (167) imply:
% 261.41/66.97 | (171) sum(n5, n7) = all_4_53
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n1, all_4_49, n7, n5, simplifying with
% 261.41/66.97 | (43), (170) gives:
% 261.41/66.97 | (172) all_4_49 = n1
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_50, all_4_49, n7, n5, simplifying
% 261.41/66.97 | with (168), (170) gives:
% 261.41/66.97 | (173) all_4_49 = all_4_50
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_49, all_4_48, n7, n5, simplifying
% 261.41/66.97 | with (169), (170) gives:
% 261.41/66.97 | (174) all_4_48 = all_4_49
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_53, all_4_48, n7, n5, simplifying
% 261.41/66.97 | with (169), (171) gives:
% 261.41/66.97 | (175) all_4_48 = all_4_53
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (174), (175) imply:
% 261.41/66.97 | (176) all_4_49 = all_4_53
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (176) implies:
% 261.41/66.97 | (177) all_4_49 = all_4_53
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (172), (173) imply:
% 261.41/66.97 | (178) all_4_50 = n1
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (173), (177) imply:
% 261.41/66.97 | (179) all_4_50 = all_4_53
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (178), (179) imply:
% 261.41/66.97 | (180) all_4_53 = n1
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (175), (180) imply:
% 261.41/66.97 | (181) all_4_48 = n1
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (88), (172), (181) imply:
% 261.41/66.97 | (182) sum(n1, n1) = all_4_92
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (93), (178), (180) imply:
% 261.41/66.97 | (183) sum(n1, n1) = all_4_93
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n2, all_4_92, n1, n1, simplifying with
% 261.41/66.97 | (91), (182) gives:
% 261.41/66.97 | (184) all_4_92 = n2
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_93, all_4_92, n1, n1, simplifying
% 261.41/66.97 | with (182), (183) gives:
% 261.41/66.97 | (185) all_4_92 = all_4_93
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (184), (185) imply:
% 261.41/66.97 | (186) all_4_93 = n2
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (186) implies:
% 261.41/66.97 | (187) all_4_93 = n2
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (42), (184) imply:
% 261.41/66.97 | (188) pred(n2) = all_4_44
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (59), (187) imply:
% 261.41/66.97 | (189) pred(n2) = all_4_47
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (7), (184) imply:
% 261.41/66.97 | (190) succ(n2) = all_4_46
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (94), (187) imply:
% 261.41/66.97 | (191) succ(n2) = all_4_43
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with n3, all_4_43, n2, simplifying with (65),
% 261.41/66.97 | (191) gives:
% 261.41/66.97 | (192) all_4_43 = n3
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with all_4_46, all_4_43, n2, simplifying with
% 261.41/66.97 | (190), (191) gives:
% 261.41/66.97 | (193) all_4_43 = all_4_46
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n1, all_4_44, n2, simplifying with (80),
% 261.41/66.97 | (188) gives:
% 261.41/66.97 | (194) all_4_44 = n1
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_47, all_4_44, n2, simplifying with
% 261.41/66.97 | (188), (189) gives:
% 261.41/66.97 | (195) all_4_44 = all_4_47
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (192), (193) imply:
% 261.41/66.97 | (196) all_4_46 = n3
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (194), (195) imply:
% 261.41/66.97 | (197) all_4_47 = n1
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (75), (192), (194) imply:
% 261.41/66.97 | (198) sum(n1, n3) = all_4_42
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (12), (194), (196) imply:
% 261.41/66.97 | (199) sum(n1, n3) = all_4_40
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (37), (192), (197) imply:
% 261.41/66.97 | (200) sum(n1, n3) = all_4_41
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (58), (196), (197) imply:
% 261.41/66.97 | (201) sum(n1, n3) = all_4_45
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n4, all_4_41, n3, n1, simplifying with
% 261.41/66.97 | (89), (200) gives:
% 261.41/66.97 | (202) all_4_41 = n4
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_42, all_4_41, n3, n1, simplifying
% 261.41/66.97 | with (198), (200) gives:
% 261.41/66.97 | (203) all_4_41 = all_4_42
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_41, all_4_40, n3, n1, simplifying
% 261.41/66.97 | with (199), (200) gives:
% 261.41/66.97 | (204) all_4_40 = all_4_41
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_45, all_4_40, n3, n1, simplifying
% 261.41/66.97 | with (199), (201) gives:
% 261.41/66.97 | (205) all_4_40 = all_4_45
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (204), (205) imply:
% 261.41/66.97 | (206) all_4_41 = all_4_45
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (206) implies:
% 261.41/66.97 | (207) all_4_41 = all_4_45
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (202), (203) imply:
% 261.41/66.97 | (208) all_4_42 = n4
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (203), (207) imply:
% 261.41/66.97 | (209) all_4_42 = all_4_45
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (208), (209) imply:
% 261.41/66.97 | (210) all_4_45 = n4
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (210) implies:
% 261.41/66.97 | (211) all_4_45 = n4
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (205), (211) imply:
% 261.41/66.97 | (212) all_4_40 = n4
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (64), (202), (212) imply:
% 261.41/66.97 | (213) sum(n4, n4) = all_4_90
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (72), (208), (211) imply:
% 261.41/66.97 | (214) sum(n4, n4) = all_4_91
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with n8, all_4_90, n4, n4, simplifying with
% 261.41/66.97 | (83), (213) gives:
% 261.41/66.97 | (215) all_4_90 = n8
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (70) with all_4_91, all_4_90, n4, n4, simplifying
% 261.41/66.97 | with (213), (214) gives:
% 261.41/66.97 | (216) all_4_90 = all_4_91
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (215), (216) imply:
% 261.41/66.97 | (217) all_4_91 = n8
% 261.41/66.97 |
% 261.41/66.97 | SIMP: (217) implies:
% 261.41/66.97 | (218) all_4_91 = n8
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (82), (215) imply:
% 261.41/66.97 | (219) pred(n8) = all_4_36
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (40), (218) imply:
% 261.41/66.97 | (220) pred(n8) = all_4_39
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (31), (215) imply:
% 261.41/66.97 | (221) succ(n8) = all_4_38
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (5), (218) imply:
% 261.41/66.97 | (222) succ(n8) = all_4_35
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with n9, all_4_35, n8, simplifying with (68),
% 261.41/66.97 | (222) gives:
% 261.41/66.97 | (223) all_4_35 = n9
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (46) with all_4_38, all_4_35, n8, simplifying with
% 261.41/66.97 | (221), (222) gives:
% 261.41/66.97 | (224) all_4_35 = all_4_38
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with n7, all_4_36, n8, simplifying with (28),
% 261.41/66.97 | (219) gives:
% 261.41/66.97 | (225) all_4_36 = n7
% 261.41/66.97 |
% 261.41/66.97 | GROUND_INST: instantiating (90) with all_4_39, all_4_36, n8, simplifying with
% 261.41/66.97 | (219), (220) gives:
% 261.41/66.97 | (226) all_4_36 = all_4_39
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (223), (224) imply:
% 261.41/66.97 | (227) all_4_38 = n9
% 261.41/66.97 |
% 261.41/66.97 | COMBINE_EQS: (225), (226) imply:
% 261.41/66.97 | (228) all_4_39 = n7
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (56), (223), (225) imply:
% 261.41/66.97 | (229) sum(n7, n9) = all_4_34
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (86), (225), (227) imply:
% 261.41/66.97 | (230) sum(n7, n9) = all_4_32
% 261.41/66.97 |
% 261.41/66.97 | REDUCE: (69), (223), (228) imply:
% 261.41/66.97 | (231) sum(n7, n9) = all_4_33
% 261.41/66.97 |
% 261.41/66.98 | REDUCE: (74), (227), (228) imply:
% 261.41/66.98 | (232) sum(n7, n9) = all_4_37
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with n5, all_4_33, n9, n7, simplifying with
% 261.41/66.98 | (78), (231) gives:
% 261.41/66.98 | (233) all_4_33 = n5
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_34, all_4_33, n9, n7, simplifying
% 261.41/66.98 | with (229), (231) gives:
% 261.41/66.98 | (234) all_4_33 = all_4_34
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_33, all_4_32, n9, n7, simplifying
% 261.41/66.98 | with (230), (231) gives:
% 261.41/66.98 | (235) all_4_32 = all_4_33
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_37, all_4_32, n9, n7, simplifying
% 261.41/66.98 | with (230), (232) gives:
% 261.41/66.98 | (236) all_4_32 = all_4_37
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (235), (236) imply:
% 261.41/66.98 | (237) all_4_33 = all_4_37
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (237) implies:
% 261.41/66.98 | (238) all_4_33 = all_4_37
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (233), (234) imply:
% 261.41/66.98 | (239) all_4_34 = n5
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (234), (238) imply:
% 261.41/66.98 | (240) all_4_34 = all_4_37
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (239), (240) imply:
% 261.41/66.98 | (241) all_4_37 = n5
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (236), (241) imply:
% 261.41/66.98 | (242) all_4_32 = n5
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (36), (233), (242) imply:
% 261.41/66.98 | (243) sum(n5, n5) = all_4_88
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (26), (239), (241) imply:
% 261.41/66.98 | (244) sum(n5, n5) = all_4_89
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with n10, all_4_88, n5, n5, simplifying with
% 261.41/66.98 | (101), (243) gives:
% 261.41/66.98 | (245) all_4_88 = n10
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_89, all_4_88, n5, n5, simplifying
% 261.41/66.98 | with (243), (244) gives:
% 261.41/66.98 | (246) all_4_88 = all_4_89
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (245), (246) imply:
% 261.41/66.98 | (247) all_4_89 = n10
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (33), (245) imply:
% 261.41/66.98 | (248) pred(n10) = all_4_28
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (41), (247) imply:
% 261.41/66.98 | (249) pred(n10) = all_4_31
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (52), (245) imply:
% 261.41/66.98 | (250) succ(n10) = all_4_30
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (10), (247) imply:
% 261.41/66.98 | (251) succ(n10) = all_4_27
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (46) with n0, all_4_27, n10, simplifying with (45),
% 261.41/66.98 | (251) gives:
% 261.41/66.98 | (252) all_4_27 = n0
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (46) with all_4_30, all_4_27, n10, simplifying with
% 261.41/66.98 | (250), (251) gives:
% 261.41/66.98 | (253) all_4_27 = all_4_30
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (90) with n9, all_4_28, n10, simplifying with (76),
% 261.41/66.98 | (248) gives:
% 261.41/66.98 | (254) all_4_28 = n9
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (90) with all_4_31, all_4_28, n10, simplifying with
% 261.41/66.98 | (248), (249) gives:
% 261.41/66.98 | (255) all_4_28 = all_4_31
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (252), (253) imply:
% 261.41/66.98 | (256) all_4_30 = n0
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (254), (255) imply:
% 261.41/66.98 | (257) all_4_31 = n9
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (1), (252), (254) imply:
% 261.41/66.98 | (258) sum(n9, n0) = all_4_26
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (13), (254), (256) imply:
% 261.41/66.98 | (259) sum(n9, n0) = all_4_24
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (23), (252), (257) imply:
% 261.41/66.98 | (260) sum(n9, n0) = all_4_25
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (34), (256), (257) imply:
% 261.41/66.98 | (261) sum(n9, n0) = all_4_29
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with n9, all_4_25, n0, n9, simplifying with
% 261.41/66.98 | (15), (260) gives:
% 261.41/66.98 | (262) all_4_25 = n9
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_26, all_4_25, n0, n9, simplifying
% 261.41/66.98 | with (258), (260) gives:
% 261.41/66.98 | (263) all_4_25 = all_4_26
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_25, all_4_24, n0, n9, simplifying
% 261.41/66.98 | with (259), (260) gives:
% 261.41/66.98 | (264) all_4_24 = all_4_25
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_29, all_4_24, n0, n9, simplifying
% 261.41/66.98 | with (259), (261) gives:
% 261.41/66.98 | (265) all_4_24 = all_4_29
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (264), (265) imply:
% 261.41/66.98 | (266) all_4_25 = all_4_29
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (266) implies:
% 261.41/66.98 | (267) all_4_25 = all_4_29
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (262), (263) imply:
% 261.41/66.98 | (268) all_4_26 = n9
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (263), (267) imply:
% 261.41/66.98 | (269) all_4_26 = all_4_29
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (268), (269) imply:
% 261.41/66.98 | (270) all_4_29 = n9
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (265), (270) imply:
% 261.41/66.98 | (271) all_4_24 = n9
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (4), (262), (271) imply:
% 261.41/66.98 | (272) sum(n9, n9) = all_4_86
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (39), (268), (270) imply:
% 261.41/66.98 | (273) sum(n9, n9) = all_4_87
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with n7, all_4_86, n9, n9, simplifying with
% 261.41/66.98 | (73), (272) gives:
% 261.41/66.98 | (274) all_4_86 = n7
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_87, all_4_86, n9, n9, simplifying
% 261.41/66.98 | with (272), (273) gives:
% 261.41/66.98 | (275) all_4_86 = all_4_87
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (274), (275) imply:
% 261.41/66.98 | (276) all_4_87 = n7
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (276) implies:
% 261.41/66.98 | (277) all_4_87 = n7
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (30), (274) imply:
% 261.41/66.98 | (278) pred(n7) = all_4_20
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (71), (277) imply:
% 261.41/66.98 | (279) pred(n7) = all_4_23
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (27), (274) imply:
% 261.41/66.98 | (280) succ(n7) = all_4_22
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (3), (277) imply:
% 261.41/66.98 | (281) succ(n7) = all_4_19
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (46) with n8, all_4_19, n7, simplifying with (57),
% 261.41/66.98 | (281) gives:
% 261.41/66.98 | (282) all_4_19 = n8
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (46) with all_4_22, all_4_19, n7, simplifying with
% 261.41/66.98 | (280), (281) gives:
% 261.41/66.98 | (283) all_4_19 = all_4_22
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (90) with n6, all_4_20, n7, simplifying with (55),
% 261.41/66.98 | (278) gives:
% 261.41/66.98 | (284) all_4_20 = n6
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (90) with all_4_23, all_4_20, n7, simplifying with
% 261.41/66.98 | (278), (279) gives:
% 261.41/66.98 | (285) all_4_20 = all_4_23
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (282), (283) imply:
% 261.41/66.98 | (286) all_4_22 = n8
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (284), (285) imply:
% 261.41/66.98 | (287) all_4_23 = n6
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (14), (282), (284) imply:
% 261.41/66.98 | (288) sum(n6, n8) = all_4_18
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (53), (284), (286) imply:
% 261.41/66.98 | (289) sum(n6, n8) = all_4_16
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (8), (282), (287) imply:
% 261.41/66.98 | (290) sum(n6, n8) = all_4_17
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (21), (286), (287) imply:
% 261.41/66.98 | (291) sum(n6, n8) = all_4_21
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with n3, all_4_17, n8, n6, simplifying with
% 261.41/66.98 | (32), (290) gives:
% 261.41/66.98 | (292) all_4_17 = n3
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_18, all_4_17, n8, n6, simplifying
% 261.41/66.98 | with (288), (290) gives:
% 261.41/66.98 | (293) all_4_17 = all_4_18
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_17, all_4_16, n8, n6, simplifying
% 261.41/66.98 | with (289), (290) gives:
% 261.41/66.98 | (294) all_4_16 = all_4_17
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_21, all_4_16, n8, n6, simplifying
% 261.41/66.98 | with (289), (291) gives:
% 261.41/66.98 | (295) all_4_16 = all_4_21
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (294), (295) imply:
% 261.41/66.98 | (296) all_4_17 = all_4_21
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (296) implies:
% 261.41/66.98 | (297) all_4_17 = all_4_21
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (292), (293) imply:
% 261.41/66.98 | (298) all_4_18 = n3
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (293), (297) imply:
% 261.41/66.98 | (299) all_4_18 = all_4_21
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (298), (299) imply:
% 261.41/66.98 | (300) all_4_21 = n3
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (295), (300) imply:
% 261.41/66.98 | (301) all_4_16 = n3
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (79), (292), (301) imply:
% 261.41/66.98 | (302) sum(n3, n3) = all_4_84
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (6), (298), (300) imply:
% 261.41/66.98 | (303) sum(n3, n3) = all_4_85
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with n6, all_4_84, n3, n3, simplifying with
% 261.41/66.98 | (17), (302) gives:
% 261.41/66.98 | (304) all_4_84 = n6
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (70) with all_4_85, all_4_84, n3, n3, simplifying
% 261.41/66.98 | with (302), (303) gives:
% 261.41/66.98 | (305) all_4_84 = all_4_85
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (304), (305) imply:
% 261.41/66.98 | (306) all_4_85 = n6
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (306) implies:
% 261.41/66.98 | (307) all_4_85 = n6
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (9), (304), (307) imply:
% 261.41/66.98 | (308) $false
% 261.41/66.98 |
% 261.41/66.98 | CLOSE: (308) is inconsistent.
% 261.41/66.98 |
% 261.41/66.98 End of proof
% 261.41/66.98
% 261.41/66.98 Sub-proof #171 shows that the following formulas are inconsistent:
% 261.41/66.98 ----------------------------------------------------------------
% 261.41/66.98 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.41/66.98 (2) succ(all_4_95) = all_4_51
% 261.41/66.98 (3) succ(all_4_87) = all_4_19
% 261.41/66.98 (4) sum(n6, n6) = all_4_99
% 261.41/66.98 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.41/66.98 (6) succ(n1) = n2
% 261.41/66.98 (7) succ(all_4_91) = all_4_35
% 261.41/66.98 (8) sum(n4, n6) = n10
% 261.41/66.98 (9) sum(all_4_21, all_4_18) = all_4_85
% 261.41/66.98 (10) succ(all_4_92) = all_4_46
% 261.41/66.98 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.41/66.98 (12) ~ (all_4_84 = all_4_85)
% 261.41/66.98 (13) succ(all_4_89) = all_4_27
% 261.41/66.98 (14) sum(n2, n2) = n4
% 261.41/66.98 (15) pred(all_4_95) = all_4_55
% 261.41/66.98 (16) sum(all_4_44, all_4_46) = all_4_40
% 261.41/66.98 (17) sum(all_4_28, all_4_30) = all_4_24
% 261.41/66.98 (18) sum(all_4_20, all_4_19) = all_4_18
% 261.41/66.98 (19) succ(n9) = n10
% 261.41/66.98 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.41/66.98 (21) sum(all_4_60, all_4_62) = all_4_56
% 261.41/66.98 (22) sum(all_4_71, all_4_70) = all_4_69
% 261.41/66.98 (23) sum(all_4_55, all_4_54) = all_4_53
% 261.41/66.98 (24) sum(all_4_23, all_4_22) = all_4_21
% 261.41/66.98 (25) sum(n2, n4) = n6
% 261.41/66.98 (26) sum(all_4_63, all_4_59) = all_4_57
% 261.41/66.98 (27) sum(all_4_31, all_4_27) = all_4_25
% 261.41/66.98 (28) sum(all_4_63, all_4_62) = all_4_61
% 261.41/66.98 (29) succ(all_4_94) = all_4_54
% 261.41/66.98 (30) sum(all_4_37, all_4_34) = all_4_89
% 261.41/66.98 (31) sum(n8, n8) = n5
% 261.41/66.98 (32) succ(all_4_86) = all_4_22
% 261.41/66.98 (33) pred(all_4_99) = all_4_71
% 261.41/66.98 (34) pred(all_4_86) = all_4_20
% 261.41/66.98 (35) succ(all_4_90) = all_4_38
% 261.41/66.98 (36) pred(all_4_88) = all_4_28
% 261.41/66.98 (37) sum(all_4_31, all_4_30) = all_4_29
% 261.41/66.98 (38) sum(n8, n10) = n7
% 261.41/66.98 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.41/66.98 (40) sum(n0, n2) = n2
% 261.41/66.98 (41) sum(all_4_33, all_4_32) = all_4_88
% 261.41/66.98 (42) sum(n3, n5) = n8
% 261.41/66.98 (43) sum(n10, n10) = n9
% 261.41/66.98 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.41/66.98 (45) pred(n5) = n4
% 261.41/66.98 (46) sum(all_4_29, all_4_26) = all_4_87
% 261.41/66.98 (47) pred(all_4_91) = all_4_39
% 261.41/66.98 (48) pred(all_4_89) = all_4_31
% 261.41/66.98 (49) pred(all_4_92) = all_4_44
% 261.41/66.98 (50) sum(all_4_65, all_4_64) = all_4_96
% 261.41/66.98 (51) pred(n4) = n3
% 261.41/66.98 (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.41/66.98 | ~ (succ(v2) = v0))
% 261.41/66.98 (53) pred(all_4_97) = all_4_63
% 261.41/66.98 (54) succ(all_4_99) = all_4_67
% 261.41/66.98 (55) pred(n9) = n8
% 261.41/66.98 (56) succ(n3) = n4
% 261.41/66.98 (57) pred(all_4_96) = all_4_60
% 261.41/66.98 (58) succ(all_4_96) = all_4_62
% 261.41/66.98 (59) pred(n3) = n2
% 261.41/66.98 (60) succ(all_4_88) = all_4_30
% 261.41/66.98 (61) sum(all_4_20, all_4_22) = all_4_16
% 261.41/66.98 (62) sum(all_4_55, all_4_51) = all_4_49
% 261.41/66.98 (63) sum(all_4_36, all_4_35) = all_4_34
% 261.41/66.98 (64) sum(all_4_47, all_4_46) = all_4_45
% 261.41/66.98 (65) pred(all_4_93) = all_4_47
% 261.41/66.98 (66) sum(all_4_71, all_4_67) = all_4_65
% 261.41/66.98 (67) sum(all_4_60, all_4_59) = all_4_58
% 261.41/66.98 (68) sum(all_4_41, all_4_40) = all_4_90
% 261.41/66.98 (69) sum(all_4_68, all_4_67) = all_4_66
% 261.41/66.98 (70) sum(all_4_39, all_4_35) = all_4_33
% 261.41/66.98 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.41/66.98 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.41/66.98 (72) pred(all_4_87) = all_4_23
% 261.41/66.98 (73) sum(all_4_45, all_4_42) = all_4_91
% 261.41/66.98 (74) sum(all_4_39, all_4_38) = all_4_37
% 261.41/66.98 (75) sum(all_4_44, all_4_43) = all_4_42
% 261.41/66.98 (76) succ(n5) = n6
% 261.41/66.98 (77) sum(all_4_69, all_4_66) = all_4_97
% 261.41/66.98 (78) succ(n4) = n5
% 261.41/66.98 (79) sum(all_4_17, all_4_16) = all_4_84
% 261.41/66.98 (80) succ(all_4_98) = all_4_70
% 261.41/66.98 (81) pred(all_4_90) = all_4_36
% 261.41/66.98 (82) all_4_99 = n1
% 261.41/66.98 (83) pred(n1) = n0
% 261.41/66.98 (84) sum(all_4_68, all_4_70) = all_4_64
% 261.41/66.98 (85) succ(all_4_97) = all_4_59
% 261.41/66.98 (86) sum(all_4_36, all_4_38) = all_4_32
% 261.41/66.98 (87) sum(all_4_61, all_4_58) = all_4_95
% 261.41/66.98 (88) sum(n7, n7) = n3
% 261.41/66.98 (89) all_4_98 = n1
% 261.41/66.98 (90) sum(all_4_49, all_4_48) = all_4_92
% 261.41/66.98 (91) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.41/66.98 | ~ (pred(v2) = v0))
% 261.41/66.98 (92) sum(all_4_52, all_4_51) = all_4_50
% 261.41/66.98 (93) sum(all_4_53, all_4_50) = all_4_93
% 261.41/66.98 (94) succ(all_4_93) = all_4_43
% 261.41/66.98 (95) pred(all_4_98) = all_4_68
% 261.41/66.98 (96) pred(all_4_94) = all_4_52
% 261.41/66.98
% 261.41/66.98 Begin of proof
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (89), (95) imply:
% 261.41/66.98 | (97) pred(n1) = all_4_68
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (33), (82) imply:
% 261.41/66.98 | (98) pred(n1) = all_4_71
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (80), (89) imply:
% 261.41/66.98 | (99) succ(n1) = all_4_70
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (54), (82) imply:
% 261.41/66.98 | (100) succ(n1) = all_4_67
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (4), (82) imply:
% 261.41/66.98 | (101) sum(n6, n6) = n1
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with n2, all_4_67, n1, simplifying with (6),
% 261.41/66.98 | (100) gives:
% 261.41/66.98 | (102) all_4_67 = n2
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with all_4_70, all_4_67, n1, simplifying with
% 261.41/66.98 | (99), (100) gives:
% 261.41/66.98 | (103) all_4_67 = all_4_70
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with n0, all_4_68, n1, simplifying with (83),
% 261.41/66.98 | (97) gives:
% 261.41/66.98 | (104) all_4_68 = n0
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with all_4_71, all_4_68, n1, simplifying with
% 261.41/66.98 | (97), (98) gives:
% 261.41/66.98 | (105) all_4_68 = all_4_71
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (102), (103) imply:
% 261.41/66.98 | (106) all_4_70 = n2
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (104), (105) imply:
% 261.41/66.98 | (107) all_4_71 = n0
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (69), (102), (104) imply:
% 261.41/66.98 | (108) sum(n0, n2) = all_4_66
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (84), (104), (106) imply:
% 261.41/66.98 | (109) sum(n0, n2) = all_4_64
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (66), (102), (107) imply:
% 261.41/66.98 | (110) sum(n0, n2) = all_4_65
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (22), (106), (107) imply:
% 261.41/66.98 | (111) sum(n0, n2) = all_4_69
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n2, all_4_65, n2, n0, simplifying with
% 261.41/66.98 | (40), (110) gives:
% 261.41/66.98 | (112) all_4_65 = n2
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_66, all_4_65, n2, n0, simplifying
% 261.41/66.98 | with (108), (110) gives:
% 261.41/66.98 | (113) all_4_65 = all_4_66
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_66, all_4_64, n2, n0, simplifying
% 261.41/66.98 | with (108), (109) gives:
% 261.41/66.98 | (114) all_4_64 = all_4_66
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_69, all_4_64, n2, n0, simplifying
% 261.41/66.98 | with (109), (111) gives:
% 261.41/66.98 | (115) all_4_64 = all_4_69
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (114), (115) imply:
% 261.41/66.98 | (116) all_4_66 = all_4_69
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (116) implies:
% 261.41/66.98 | (117) all_4_66 = all_4_69
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (112), (113) imply:
% 261.41/66.98 | (118) all_4_66 = n2
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (118) implies:
% 261.41/66.98 | (119) all_4_66 = n2
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (117), (119) imply:
% 261.41/66.98 | (120) all_4_69 = n2
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (115), (120) imply:
% 261.41/66.98 | (121) all_4_64 = n2
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (50), (112), (121) imply:
% 261.41/66.98 | (122) sum(n2, n2) = all_4_96
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (77), (119), (120) imply:
% 261.41/66.98 | (123) sum(n2, n2) = all_4_97
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n4, all_4_96, n2, n2, simplifying with
% 261.41/66.98 | (14), (122) gives:
% 261.41/66.98 | (124) all_4_96 = n4
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_97, all_4_96, n2, n2, simplifying
% 261.41/66.98 | with (122), (123) gives:
% 261.41/66.98 | (125) all_4_96 = all_4_97
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (124), (125) imply:
% 261.41/66.98 | (126) all_4_97 = n4
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (126) implies:
% 261.41/66.98 | (127) all_4_97 = n4
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (57), (124) imply:
% 261.41/66.98 | (128) pred(n4) = all_4_60
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (53), (127) imply:
% 261.41/66.98 | (129) pred(n4) = all_4_63
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (58), (124) imply:
% 261.41/66.98 | (130) succ(n4) = all_4_62
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (85), (127) imply:
% 261.41/66.98 | (131) succ(n4) = all_4_59
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with n5, all_4_59, n4, simplifying with (78),
% 261.41/66.98 | (131) gives:
% 261.41/66.98 | (132) all_4_59 = n5
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with all_4_62, all_4_59, n4, simplifying with
% 261.41/66.98 | (130), (131) gives:
% 261.41/66.98 | (133) all_4_59 = all_4_62
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with n3, all_4_60, n4, simplifying with (51),
% 261.41/66.98 | (128) gives:
% 261.41/66.98 | (134) all_4_60 = n3
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with all_4_63, all_4_60, n4, simplifying with
% 261.41/66.98 | (128), (129) gives:
% 261.41/66.98 | (135) all_4_60 = all_4_63
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (132), (133) imply:
% 261.41/66.98 | (136) all_4_62 = n5
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (134), (135) imply:
% 261.41/66.98 | (137) all_4_63 = n3
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (67), (132), (134) imply:
% 261.41/66.98 | (138) sum(n3, n5) = all_4_58
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (21), (134), (136) imply:
% 261.41/66.98 | (139) sum(n3, n5) = all_4_56
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (26), (132), (137) imply:
% 261.41/66.98 | (140) sum(n3, n5) = all_4_57
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (28), (136), (137) imply:
% 261.41/66.98 | (141) sum(n3, n5) = all_4_61
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n8, all_4_57, n5, n3, simplifying with
% 261.41/66.98 | (42), (140) gives:
% 261.41/66.98 | (142) all_4_57 = n8
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_58, all_4_57, n5, n3, simplifying
% 261.41/66.98 | with (138), (140) gives:
% 261.41/66.98 | (143) all_4_57 = all_4_58
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_57, all_4_56, n5, n3, simplifying
% 261.41/66.98 | with (139), (140) gives:
% 261.41/66.98 | (144) all_4_56 = all_4_57
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_61, all_4_56, n5, n3, simplifying
% 261.41/66.98 | with (139), (141) gives:
% 261.41/66.98 | (145) all_4_56 = all_4_61
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (144), (145) imply:
% 261.41/66.98 | (146) all_4_57 = all_4_61
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (146) implies:
% 261.41/66.98 | (147) all_4_57 = all_4_61
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (142), (143) imply:
% 261.41/66.98 | (148) all_4_58 = n8
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (143), (147) imply:
% 261.41/66.98 | (149) all_4_58 = all_4_61
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (148), (149) imply:
% 261.41/66.98 | (150) all_4_61 = n8
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (145), (150) imply:
% 261.41/66.98 | (151) all_4_56 = n8
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (39), (142), (151) imply:
% 261.41/66.98 | (152) sum(n8, n8) = all_4_94
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (87), (148), (150) imply:
% 261.41/66.98 | (153) sum(n8, n8) = all_4_95
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n5, all_4_94, n8, n8, simplifying with
% 261.41/66.98 | (31), (152) gives:
% 261.41/66.98 | (154) all_4_94 = n5
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_95, all_4_94, n8, n8, simplifying
% 261.41/66.98 | with (152), (153) gives:
% 261.41/66.98 | (155) all_4_94 = all_4_95
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (154), (155) imply:
% 261.41/66.98 | (156) all_4_95 = n5
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (96), (154) imply:
% 261.41/66.98 | (157) pred(n5) = all_4_52
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (15), (156) imply:
% 261.41/66.98 | (158) pred(n5) = all_4_55
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (29), (154) imply:
% 261.41/66.98 | (159) succ(n5) = all_4_54
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (2), (156) imply:
% 261.41/66.98 | (160) succ(n5) = all_4_51
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with n6, all_4_51, n5, simplifying with (76),
% 261.41/66.98 | (160) gives:
% 261.41/66.98 | (161) all_4_51 = n6
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with all_4_54, all_4_51, n5, simplifying with
% 261.41/66.98 | (159), (160) gives:
% 261.41/66.98 | (162) all_4_51 = all_4_54
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with n4, all_4_52, n5, simplifying with (45),
% 261.41/66.98 | (157) gives:
% 261.41/66.98 | (163) all_4_52 = n4
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with all_4_55, all_4_52, n5, simplifying with
% 261.41/66.98 | (157), (158) gives:
% 261.41/66.98 | (164) all_4_52 = all_4_55
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (161), (162) imply:
% 261.41/66.98 | (165) all_4_54 = n6
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (163), (164) imply:
% 261.41/66.98 | (166) all_4_55 = n4
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (166) implies:
% 261.41/66.98 | (167) all_4_55 = n4
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (92), (161), (163) imply:
% 261.41/66.98 | (168) sum(n4, n6) = all_4_50
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (20), (163), (165) imply:
% 261.41/66.98 | (169) sum(n4, n6) = all_4_48
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (62), (161), (167) imply:
% 261.41/66.98 | (170) sum(n4, n6) = all_4_49
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (23), (165), (167) imply:
% 261.41/66.98 | (171) sum(n4, n6) = all_4_53
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n10, all_4_49, n6, n4, simplifying with
% 261.41/66.98 | (8), (170) gives:
% 261.41/66.98 | (172) all_4_49 = n10
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_50, all_4_49, n6, n4, simplifying
% 261.41/66.98 | with (168), (170) gives:
% 261.41/66.98 | (173) all_4_49 = all_4_50
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_49, all_4_48, n6, n4, simplifying
% 261.41/66.98 | with (169), (170) gives:
% 261.41/66.98 | (174) all_4_48 = all_4_49
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_53, all_4_48, n6, n4, simplifying
% 261.41/66.98 | with (169), (171) gives:
% 261.41/66.98 | (175) all_4_48 = all_4_53
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (174), (175) imply:
% 261.41/66.98 | (176) all_4_49 = all_4_53
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (176) implies:
% 261.41/66.98 | (177) all_4_49 = all_4_53
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (172), (173) imply:
% 261.41/66.98 | (178) all_4_50 = n10
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (173), (177) imply:
% 261.41/66.98 | (179) all_4_50 = all_4_53
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (178), (179) imply:
% 261.41/66.98 | (180) all_4_53 = n10
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (175), (180) imply:
% 261.41/66.98 | (181) all_4_48 = n10
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (90), (172), (181) imply:
% 261.41/66.98 | (182) sum(n10, n10) = all_4_92
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (93), (178), (180) imply:
% 261.41/66.98 | (183) sum(n10, n10) = all_4_93
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n9, all_4_92, n10, n10, simplifying with
% 261.41/66.98 | (43), (182) gives:
% 261.41/66.98 | (184) all_4_92 = n9
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_93, all_4_92, n10, n10, simplifying
% 261.41/66.98 | with (182), (183) gives:
% 261.41/66.98 | (185) all_4_92 = all_4_93
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (184), (185) imply:
% 261.41/66.98 | (186) all_4_93 = n9
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (186) implies:
% 261.41/66.98 | (187) all_4_93 = n9
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (49), (184) imply:
% 261.41/66.98 | (188) pred(n9) = all_4_44
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (65), (187) imply:
% 261.41/66.98 | (189) pred(n9) = all_4_47
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (10), (184) imply:
% 261.41/66.98 | (190) succ(n9) = all_4_46
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (94), (187) imply:
% 261.41/66.98 | (191) succ(n9) = all_4_43
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with n10, all_4_43, n9, simplifying with (19),
% 261.41/66.98 | (191) gives:
% 261.41/66.98 | (192) all_4_43 = n10
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (52) with all_4_46, all_4_43, n9, simplifying with
% 261.41/66.98 | (190), (191) gives:
% 261.41/66.98 | (193) all_4_43 = all_4_46
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with n8, all_4_44, n9, simplifying with (55),
% 261.41/66.98 | (188) gives:
% 261.41/66.98 | (194) all_4_44 = n8
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (91) with all_4_47, all_4_44, n9, simplifying with
% 261.41/66.98 | (188), (189) gives:
% 261.41/66.98 | (195) all_4_44 = all_4_47
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (192), (193) imply:
% 261.41/66.98 | (196) all_4_46 = n10
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (194), (195) imply:
% 261.41/66.98 | (197) all_4_47 = n8
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (75), (192), (194) imply:
% 261.41/66.98 | (198) sum(n8, n10) = all_4_42
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (16), (194), (196) imply:
% 261.41/66.98 | (199) sum(n8, n10) = all_4_40
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (44), (192), (197) imply:
% 261.41/66.98 | (200) sum(n8, n10) = all_4_41
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (64), (196), (197) imply:
% 261.41/66.98 | (201) sum(n8, n10) = all_4_45
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with n7, all_4_41, n10, n8, simplifying with
% 261.41/66.98 | (38), (200) gives:
% 261.41/66.98 | (202) all_4_41 = n7
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_42, all_4_41, n10, n8, simplifying
% 261.41/66.98 | with (198), (200) gives:
% 261.41/66.98 | (203) all_4_41 = all_4_42
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_41, all_4_40, n10, n8, simplifying
% 261.41/66.98 | with (199), (200) gives:
% 261.41/66.98 | (204) all_4_40 = all_4_41
% 261.41/66.98 |
% 261.41/66.98 | GROUND_INST: instantiating (71) with all_4_45, all_4_40, n10, n8, simplifying
% 261.41/66.98 | with (199), (201) gives:
% 261.41/66.98 | (205) all_4_40 = all_4_45
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (204), (205) imply:
% 261.41/66.98 | (206) all_4_41 = all_4_45
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (206) implies:
% 261.41/66.98 | (207) all_4_41 = all_4_45
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (202), (203) imply:
% 261.41/66.98 | (208) all_4_42 = n7
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (203), (207) imply:
% 261.41/66.98 | (209) all_4_42 = all_4_45
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (208), (209) imply:
% 261.41/66.98 | (210) all_4_45 = n7
% 261.41/66.98 |
% 261.41/66.98 | SIMP: (210) implies:
% 261.41/66.98 | (211) all_4_45 = n7
% 261.41/66.98 |
% 261.41/66.98 | COMBINE_EQS: (205), (211) imply:
% 261.41/66.98 | (212) all_4_40 = n7
% 261.41/66.98 |
% 261.41/66.98 | REDUCE: (68), (202), (212) imply:
% 261.41/66.98 | (213) sum(n7, n7) = all_4_90
% 261.41/66.98 |
% 261.41/66.99 | REDUCE: (73), (208), (211) imply:
% 261.41/66.99 | (214) sum(n7, n7) = all_4_91
% 261.41/66.99 |
% 261.41/66.99 | GROUND_INST: instantiating (71) with n3, all_4_90, n7, n7, simplifying with
% 261.41/66.99 | (88), (213) gives:
% 261.41/66.99 | (215) all_4_90 = n3
% 261.41/66.99 |
% 261.41/66.99 | GROUND_INST: instantiating (71) with all_4_91, all_4_90, n7, n7, simplifying
% 261.41/66.99 | with (213), (214) gives:
% 261.41/66.99 | (216) all_4_90 = all_4_91
% 261.41/66.99 |
% 261.41/66.99 | COMBINE_EQS: (215), (216) imply:
% 261.41/66.99 | (217) all_4_91 = n3
% 261.41/66.99 |
% 261.41/66.99 | SIMP: (217) implies:
% 261.41/66.99 | (218) all_4_91 = n3
% 261.41/66.99 |
% 261.41/66.99 | REDUCE: (81), (215) imply:
% 261.41/66.99 | (219) pred(n3) = all_4_36
% 261.41/66.99 |
% 261.41/66.99 | REDUCE: (47), (218) imply:
% 261.41/66.99 | (220) pred(n3) = all_4_39
% 261.41/66.99 |
% 261.41/66.99 | REDUCE: (35), (215) imply:
% 261.41/66.99 | (221) succ(n3) = all_4_38
% 261.41/66.99 |
% 261.41/66.99 | REDUCE: (7), (218) imply:
% 261.41/66.99 | (222) succ(n3) = all_4_35
% 261.41/66.99 |
% 261.41/66.99 | GROUND_INST: instantiating (52) with n4, all_4_35, n3, simplifying with (56),
% 261.41/66.99 | (222) gives:
% 261.41/66.99 | (223) all_4_35 = n4
% 261.41/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (52) with all_4_38, all_4_35, n3, simplifying with
% 261.43/66.99 | (221), (222) gives:
% 261.43/66.99 | (224) all_4_35 = all_4_38
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (91) with n2, all_4_36, n3, simplifying with (59),
% 261.43/66.99 | (219) gives:
% 261.43/66.99 | (225) all_4_36 = n2
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (91) with all_4_39, all_4_36, n3, simplifying with
% 261.43/66.99 | (219), (220) gives:
% 261.43/66.99 | (226) all_4_36 = all_4_39
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (223), (224) imply:
% 261.43/66.99 | (227) all_4_38 = n4
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (225), (226) imply:
% 261.43/66.99 | (228) all_4_39 = n2
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (63), (223), (225) imply:
% 261.43/66.99 | (229) sum(n2, n4) = all_4_34
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (86), (225), (227) imply:
% 261.43/66.99 | (230) sum(n2, n4) = all_4_32
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (70), (223), (228) imply:
% 261.43/66.99 | (231) sum(n2, n4) = all_4_33
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (74), (227), (228) imply:
% 261.43/66.99 | (232) sum(n2, n4) = all_4_37
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with n6, all_4_33, n4, n2, simplifying with
% 261.43/66.99 | (25), (231) gives:
% 261.43/66.99 | (233) all_4_33 = n6
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_34, all_4_33, n4, n2, simplifying
% 261.43/66.99 | with (229), (231) gives:
% 261.43/66.99 | (234) all_4_33 = all_4_34
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_33, all_4_32, n4, n2, simplifying
% 261.43/66.99 | with (230), (231) gives:
% 261.43/66.99 | (235) all_4_32 = all_4_33
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_37, all_4_32, n4, n2, simplifying
% 261.43/66.99 | with (230), (232) gives:
% 261.43/66.99 | (236) all_4_32 = all_4_37
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (235), (236) imply:
% 261.43/66.99 | (237) all_4_33 = all_4_37
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (237) implies:
% 261.43/66.99 | (238) all_4_33 = all_4_37
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (233), (234) imply:
% 261.43/66.99 | (239) all_4_34 = n6
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (234), (238) imply:
% 261.43/66.99 | (240) all_4_34 = all_4_37
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (239), (240) imply:
% 261.43/66.99 | (241) all_4_37 = n6
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (236), (241) imply:
% 261.43/66.99 | (242) all_4_32 = n6
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (41), (233), (242) imply:
% 261.43/66.99 | (243) sum(n6, n6) = all_4_88
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (30), (239), (241) imply:
% 261.43/66.99 | (244) sum(n6, n6) = all_4_89
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with n1, all_4_88, n6, n6, simplifying with
% 261.43/66.99 | (101), (243) gives:
% 261.43/66.99 | (245) all_4_88 = n1
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_89, all_4_88, n6, n6, simplifying
% 261.43/66.99 | with (243), (244) gives:
% 261.43/66.99 | (246) all_4_88 = all_4_89
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (245), (246) imply:
% 261.43/66.99 | (247) all_4_89 = n1
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (36), (245) imply:
% 261.43/66.99 | (248) pred(n1) = all_4_28
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (48), (247) imply:
% 261.43/66.99 | (249) pred(n1) = all_4_31
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (60), (245) imply:
% 261.43/66.99 | (250) succ(n1) = all_4_30
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (13), (247) imply:
% 261.43/66.99 | (251) succ(n1) = all_4_27
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (52) with n2, all_4_27, n1, simplifying with (6),
% 261.43/66.99 | (251) gives:
% 261.43/66.99 | (252) all_4_27 = n2
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (52) with all_4_30, all_4_27, n1, simplifying with
% 261.43/66.99 | (250), (251) gives:
% 261.43/66.99 | (253) all_4_27 = all_4_30
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (91) with n0, all_4_28, n1, simplifying with (83),
% 261.43/66.99 | (248) gives:
% 261.43/66.99 | (254) all_4_28 = n0
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (91) with all_4_31, all_4_28, n1, simplifying with
% 261.43/66.99 | (248), (249) gives:
% 261.43/66.99 | (255) all_4_28 = all_4_31
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (252), (253) imply:
% 261.43/66.99 | (256) all_4_30 = n2
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (254), (255) imply:
% 261.43/66.99 | (257) all_4_31 = n0
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (1), (252), (254) imply:
% 261.43/66.99 | (258) sum(n0, n2) = all_4_26
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (17), (254), (256) imply:
% 261.43/66.99 | (259) sum(n0, n2) = all_4_24
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (27), (252), (257) imply:
% 261.43/66.99 | (260) sum(n0, n2) = all_4_25
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (37), (256), (257) imply:
% 261.43/66.99 | (261) sum(n0, n2) = all_4_29
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with n2, all_4_25, n2, n0, simplifying with
% 261.43/66.99 | (40), (260) gives:
% 261.43/66.99 | (262) all_4_25 = n2
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_26, all_4_25, n2, n0, simplifying
% 261.43/66.99 | with (258), (260) gives:
% 261.43/66.99 | (263) all_4_25 = all_4_26
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_25, all_4_24, n2, n0, simplifying
% 261.43/66.99 | with (259), (260) gives:
% 261.43/66.99 | (264) all_4_24 = all_4_25
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_29, all_4_24, n2, n0, simplifying
% 261.43/66.99 | with (259), (261) gives:
% 261.43/66.99 | (265) all_4_24 = all_4_29
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (264), (265) imply:
% 261.43/66.99 | (266) all_4_25 = all_4_29
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (266) implies:
% 261.43/66.99 | (267) all_4_25 = all_4_29
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (262), (263) imply:
% 261.43/66.99 | (268) all_4_26 = n2
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (263), (267) imply:
% 261.43/66.99 | (269) all_4_26 = all_4_29
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (268), (269) imply:
% 261.43/66.99 | (270) all_4_29 = n2
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (265), (270) imply:
% 261.43/66.99 | (271) all_4_24 = n2
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (5), (262), (271) imply:
% 261.43/66.99 | (272) sum(n2, n2) = all_4_86
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (46), (268), (270) imply:
% 261.43/66.99 | (273) sum(n2, n2) = all_4_87
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with n4, all_4_86, n2, n2, simplifying with
% 261.43/66.99 | (14), (272) gives:
% 261.43/66.99 | (274) all_4_86 = n4
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (71) with all_4_87, all_4_86, n2, n2, simplifying
% 261.43/66.99 | with (272), (273) gives:
% 261.43/66.99 | (275) all_4_86 = all_4_87
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (274), (275) imply:
% 261.43/66.99 | (276) all_4_87 = n4
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (276) implies:
% 261.43/66.99 | (277) all_4_87 = n4
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (34), (274) imply:
% 261.43/66.99 | (278) pred(n4) = all_4_20
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (72), (277) imply:
% 261.43/66.99 | (279) pred(n4) = all_4_23
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (32), (274) imply:
% 261.43/66.99 | (280) succ(n4) = all_4_22
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (3), (277) imply:
% 261.43/66.99 | (281) succ(n4) = all_4_19
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (52) with n5, all_4_19, n4, simplifying with (78),
% 261.43/66.99 | (281) gives:
% 261.43/66.99 | (282) all_4_19 = n5
% 261.43/66.99 |
% 261.43/66.99 | REF_CLOSE: (9), (11), (12), (18), (24), (31), (42), (51), (52), (61), (71),
% 261.43/66.99 | (79), (91), (278), (279), (280), (281), (282) are inconsistent by
% 261.43/66.99 | sub-proof #172.
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #172 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) pred(n4) = all_4_20
% 261.43/66.99 (2) sum(all_4_21, all_4_18) = all_4_85
% 261.43/66.99 (3) sum(all_4_23, all_4_19) = all_4_17
% 261.43/66.99 (4) ~ (all_4_84 = all_4_85)
% 261.43/66.99 (5) sum(all_4_20, all_4_19) = all_4_18
% 261.43/66.99 (6) sum(all_4_23, all_4_22) = all_4_21
% 261.43/66.99 (7) sum(n8, n8) = n5
% 261.43/66.99 (8) succ(n4) = all_4_19
% 261.43/66.99 (9) sum(n3, n5) = n8
% 261.43/66.99 (10) pred(n4) = n3
% 261.43/66.99 (11) pred(n4) = all_4_23
% 261.43/66.99 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/66.99 | ~ (succ(v2) = v0))
% 261.43/66.99 (13) sum(all_4_20, all_4_22) = all_4_16
% 261.43/66.99 (14) succ(n4) = all_4_22
% 261.43/66.99 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/66.99 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/66.99 (16) sum(all_4_17, all_4_16) = all_4_84
% 261.43/66.99 (17) all_4_19 = n5
% 261.43/66.99 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/66.99 | ~ (pred(v2) = v0))
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (12) with all_4_22, all_4_19, n4, simplifying with
% 261.43/66.99 | (8), (14) gives:
% 261.43/66.99 | (19) all_4_19 = all_4_22
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (18) with n3, all_4_20, n4, simplifying with (1),
% 261.43/66.99 | (10) gives:
% 261.43/66.99 | (20) all_4_20 = n3
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (18) with all_4_23, all_4_20, n4, simplifying with
% 261.43/66.99 | (1), (11) gives:
% 261.43/66.99 | (21) all_4_20 = all_4_23
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (17), (19) imply:
% 261.43/66.99 | (22) all_4_22 = n5
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (20), (21) imply:
% 261.43/66.99 | (23) all_4_23 = n3
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (5), (17), (20) imply:
% 261.43/66.99 | (24) sum(n3, n5) = all_4_18
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (13), (20), (22) imply:
% 261.43/66.99 | (25) sum(n3, n5) = all_4_16
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (3), (17), (23) imply:
% 261.43/66.99 | (26) sum(n3, n5) = all_4_17
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (6), (22), (23) imply:
% 261.43/66.99 | (27) sum(n3, n5) = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (15) with n8, all_4_17, n5, n3, simplifying with
% 261.43/66.99 | (9), (26) gives:
% 261.43/66.99 | (28) all_4_17 = n8
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (15) with all_4_18, all_4_17, n5, n3, simplifying
% 261.43/66.99 | with (24), (26) gives:
% 261.43/66.99 | (29) all_4_17 = all_4_18
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (15) with all_4_17, all_4_16, n5, n3, simplifying
% 261.43/66.99 | with (25), (26) gives:
% 261.43/66.99 | (30) all_4_16 = all_4_17
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (15) with all_4_21, all_4_16, n5, n3, simplifying
% 261.43/66.99 | with (25), (27) gives:
% 261.43/66.99 | (31) all_4_16 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (30), (31) imply:
% 261.43/66.99 | (32) all_4_17 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (32) implies:
% 261.43/66.99 | (33) all_4_17 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (28), (29) imply:
% 261.43/66.99 | (34) all_4_18 = n8
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (29), (33) imply:
% 261.43/66.99 | (35) all_4_18 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (34), (35) imply:
% 261.43/66.99 | (36) all_4_21 = n8
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (31), (36) imply:
% 261.43/66.99 | (37) all_4_16 = n8
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (16), (28), (37) imply:
% 261.43/66.99 | (38) sum(n8, n8) = all_4_84
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (2), (34), (36) imply:
% 261.43/66.99 | (39) sum(n8, n8) = all_4_85
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (15) with n5, all_4_84, n8, n8, simplifying with
% 261.43/66.99 | (7), (38) gives:
% 261.43/66.99 | (40) all_4_84 = n5
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (15) with all_4_85, all_4_84, n8, n8, simplifying
% 261.43/66.99 | with (38), (39) gives:
% 261.43/66.99 | (41) all_4_84 = all_4_85
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (40), (41) imply:
% 261.43/66.99 | (42) all_4_85 = n5
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (42) implies:
% 261.43/66.99 | (43) all_4_85 = n5
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (4), (40), (43) imply:
% 261.43/66.99 | (44) $false
% 261.43/66.99 |
% 261.43/66.99 | CLOSE: (44) is inconsistent.
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #173 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) sum(all_4_21, all_4_18) = all_4_85
% 261.43/66.99 (2) sum(all_4_23, all_4_19) = all_4_17
% 261.43/66.99 (3) ~ (all_4_84 = all_4_85)
% 261.43/66.99 (4) sum(n2, n2) = n4
% 261.43/66.99 (5) sum(all_4_20, all_4_19) = all_4_18
% 261.43/66.99 (6) sum(all_4_23, all_4_22) = all_4_21
% 261.43/66.99 (7) pred(n1) = all_4_20
% 261.43/66.99 (8) all_4_19 = n2
% 261.43/66.99 (9) sum(n0, n2) = n2
% 261.43/66.99 (10) succ(n1) = all_4_19
% 261.43/66.99 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/66.99 | ~ (succ(v2) = v0))
% 261.43/66.99 (12) sum(all_4_20, all_4_22) = all_4_16
% 261.43/66.99 (13) succ(n1) = all_4_22
% 261.43/66.99 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/66.99 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/66.99 (15) sum(all_4_17, all_4_16) = all_4_84
% 261.43/66.99 (16) pred(n1) = n0
% 261.43/66.99 (17) pred(n1) = all_4_23
% 261.43/66.99 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/66.99 | ~ (pred(v2) = v0))
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (11) with all_4_22, all_4_19, n1, simplifying with
% 261.43/66.99 | (10), (13) gives:
% 261.43/66.99 | (19) all_4_19 = all_4_22
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (18) with n0, all_4_20, n1, simplifying with (7),
% 261.43/66.99 | (16) gives:
% 261.43/66.99 | (20) all_4_20 = n0
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (18) with all_4_23, all_4_20, n1, simplifying with
% 261.43/66.99 | (7), (17) gives:
% 261.43/66.99 | (21) all_4_20 = all_4_23
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (8), (19) imply:
% 261.43/66.99 | (22) all_4_22 = n2
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (20), (21) imply:
% 261.43/66.99 | (23) all_4_23 = n0
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (5), (8), (20) imply:
% 261.43/66.99 | (24) sum(n0, n2) = all_4_18
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (12), (20), (22) imply:
% 261.43/66.99 | (25) sum(n0, n2) = all_4_16
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (2), (8), (23) imply:
% 261.43/66.99 | (26) sum(n0, n2) = all_4_17
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (6), (22), (23) imply:
% 261.43/66.99 | (27) sum(n0, n2) = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with n2, all_4_17, n2, n0, simplifying with
% 261.43/66.99 | (9), (26) gives:
% 261.43/66.99 | (28) all_4_17 = n2
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_18, all_4_17, n2, n0, simplifying
% 261.43/66.99 | with (24), (26) gives:
% 261.43/66.99 | (29) all_4_17 = all_4_18
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_17, all_4_16, n2, n0, simplifying
% 261.43/66.99 | with (25), (26) gives:
% 261.43/66.99 | (30) all_4_16 = all_4_17
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_21, all_4_16, n2, n0, simplifying
% 261.43/66.99 | with (25), (27) gives:
% 261.43/66.99 | (31) all_4_16 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (30), (31) imply:
% 261.43/66.99 | (32) all_4_17 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (32) implies:
% 261.43/66.99 | (33) all_4_17 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (28), (29) imply:
% 261.43/66.99 | (34) all_4_18 = n2
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (29), (33) imply:
% 261.43/66.99 | (35) all_4_18 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (34), (35) imply:
% 261.43/66.99 | (36) all_4_21 = n2
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (31), (36) imply:
% 261.43/66.99 | (37) all_4_16 = n2
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (15), (28), (37) imply:
% 261.43/66.99 | (38) sum(n2, n2) = all_4_84
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (1), (34), (36) imply:
% 261.43/66.99 | (39) sum(n2, n2) = all_4_85
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with n4, all_4_84, n2, n2, simplifying with
% 261.43/66.99 | (4), (38) gives:
% 261.43/66.99 | (40) all_4_84 = n4
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_85, all_4_84, n2, n2, simplifying
% 261.43/66.99 | with (38), (39) gives:
% 261.43/66.99 | (41) all_4_84 = all_4_85
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (40), (41) imply:
% 261.43/66.99 | (42) all_4_85 = n4
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (42) implies:
% 261.43/66.99 | (43) all_4_85 = n4
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (3), (40), (43) imply:
% 261.43/66.99 | (44) $false
% 261.43/66.99 |
% 261.43/66.99 | CLOSE: (44) is inconsistent.
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #174 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) all_4_97 = n9
% 261.43/66.99 (2) all_4_87 = n9
% 261.43/66.99 (3) all_4_95 = n3
% 261.43/66.99 (4) all_4_98 = n5
% 261.43/66.99 (5) all_4_89 = n5
% 261.43/66.99 (6) all_4_99 = n5
% 261.43/66.99 (7) all_4_90 = n4
% 261.43/66.99 (8) all_4_86 = n9
% 261.43/66.99 (9) all_4_96 = n9
% 261.43/66.99 (10) all_4_93 = n1
% 261.43/66.99 (11) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 261.43/66.99 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 261.43/66.99 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99 (12) all_4_94 = n3
% 261.43/66.99 (13) all_4_88 = n5
% 261.43/66.99 (14) all_4_91 = n4
% 261.43/66.99 (15) all_4_92 = n1
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | BETA: splitting (11) gives:
% 261.43/66.99 |
% 261.43/66.99 | Case 1:
% 261.43/66.99 | |
% 261.43/66.99 | | (16) ~ (all_4_86 = all_4_87)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (2), (8), (16) imply:
% 261.43/66.99 | | (17) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (17) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | Case 2:
% 261.43/66.99 | |
% 261.43/66.99 | | (18) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.43/66.99 | | all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 261.43/66.99 | | ~ (all_4_98 = all_4_99)
% 261.43/66.99 | |
% 261.43/66.99 | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (12), (13), (14), (15),
% 261.43/66.99 | | (18) are inconsistent by sub-proof #175.
% 261.43/66.99 | |
% 261.43/66.99 | End of split
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #175 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) all_4_97 = n9
% 261.43/66.99 (2) all_4_95 = n3
% 261.43/66.99 (3) all_4_98 = n5
% 261.43/66.99 (4) all_4_89 = n5
% 261.43/66.99 (5) all_4_99 = n5
% 261.43/66.99 (6) all_4_90 = n4
% 261.43/66.99 (7) all_4_96 = n9
% 261.43/66.99 (8) all_4_93 = n1
% 261.43/66.99 (9) all_4_94 = n3
% 261.43/66.99 (10) all_4_88 = n5
% 261.43/66.99 (11) all_4_91 = n4
% 261.43/66.99 (12) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.43/66.99 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 261.43/66.99 (all_4_98 = all_4_99)
% 261.43/66.99 (13) all_4_92 = n1
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | BETA: splitting (12) gives:
% 261.43/66.99 |
% 261.43/66.99 | Case 1:
% 261.43/66.99 | |
% 261.43/66.99 | | (14) ~ (all_4_88 = all_4_89)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (4), (10), (14) imply:
% 261.43/66.99 | | (15) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (15) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | Case 2:
% 261.43/66.99 | |
% 261.43/66.99 | | (16) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.43/66.99 | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99 | |
% 261.43/66.99 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (13), (16) are
% 261.43/66.99 | | inconsistent by sub-proof #176.
% 261.43/66.99 | |
% 261.43/66.99 | End of split
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #176 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) all_4_97 = n9
% 261.43/66.99 (2) all_4_95 = n3
% 261.43/66.99 (3) all_4_98 = n5
% 261.43/66.99 (4) all_4_99 = n5
% 261.43/66.99 (5) all_4_90 = n4
% 261.43/66.99 (6) all_4_96 = n9
% 261.43/66.99 (7) all_4_93 = n1
% 261.43/66.99 (8) all_4_94 = n3
% 261.43/66.99 (9) all_4_91 = n4
% 261.43/66.99 (10) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.43/66.99 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99 (11) all_4_92 = n1
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | BETA: splitting (10) gives:
% 261.43/66.99 |
% 261.43/66.99 | Case 1:
% 261.43/66.99 | |
% 261.43/66.99 | | (12) ~ (all_4_90 = all_4_91)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (5), (9), (12) imply:
% 261.43/66.99 | | (13) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (13) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | Case 2:
% 261.43/66.99 | |
% 261.43/66.99 | | (14) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.43/66.99 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99 | |
% 261.43/66.99 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (11), (14) are inconsistent by
% 261.43/66.99 | | sub-proof #177.
% 261.43/66.99 | |
% 261.43/66.99 | End of split
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #177 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) all_4_97 = n9
% 261.43/66.99 (2) all_4_95 = n3
% 261.43/66.99 (3) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.43/66.99 all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99 (4) all_4_98 = n5
% 261.43/66.99 (5) all_4_99 = n5
% 261.43/66.99 (6) all_4_96 = n9
% 261.43/66.99 (7) all_4_93 = n1
% 261.43/66.99 (8) all_4_94 = n3
% 261.43/66.99 (9) all_4_92 = n1
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | BETA: splitting (3) gives:
% 261.43/66.99 |
% 261.43/66.99 | Case 1:
% 261.43/66.99 | |
% 261.43/66.99 | | (10) ~ (all_4_92 = all_4_93)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (7), (9), (10) imply:
% 261.43/66.99 | | (11) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (11) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | Case 2:
% 261.43/66.99 | |
% 261.43/66.99 | | (12) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.43/66.99 | | all_4_99)
% 261.43/66.99 | |
% 261.43/66.99 | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (12) are inconsistent by sub-proof
% 261.43/66.99 | | #178.
% 261.43/66.99 | |
% 261.43/66.99 | End of split
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #178 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) all_4_97 = n9
% 261.43/66.99 (2) all_4_95 = n3
% 261.43/66.99 (3) all_4_98 = n5
% 261.43/66.99 (4) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.43/66.99 all_4_99)
% 261.43/66.99 (5) all_4_99 = n5
% 261.43/66.99 (6) all_4_96 = n9
% 261.43/66.99 (7) all_4_94 = n3
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | BETA: splitting (4) gives:
% 261.43/66.99 |
% 261.43/66.99 | Case 1:
% 261.43/66.99 | |
% 261.43/66.99 | | (8) ~ (all_4_94 = all_4_95)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (2), (7), (8) imply:
% 261.43/66.99 | | (9) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (9) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | Case 2:
% 261.43/66.99 | |
% 261.43/66.99 | | (10) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99 | |
% 261.43/66.99 | | REF_CLOSE: (1), (3), (5), (6), (10) are inconsistent by sub-proof #179.
% 261.43/66.99 | |
% 261.43/66.99 | End of split
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #179 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) all_4_97 = n9
% 261.43/66.99 (2) all_4_98 = n5
% 261.43/66.99 (3) all_4_99 = n5
% 261.43/66.99 (4) all_4_96 = n9
% 261.43/66.99 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | BETA: splitting (5) gives:
% 261.43/66.99 |
% 261.43/66.99 | Case 1:
% 261.43/66.99 | |
% 261.43/66.99 | | (6) ~ (all_4_96 = all_4_97)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (1), (4), (6) imply:
% 261.43/66.99 | | (7) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (7) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | Case 2:
% 261.43/66.99 | |
% 261.43/66.99 | | (8) ~ (all_4_98 = all_4_99)
% 261.43/66.99 | |
% 261.43/66.99 | | REDUCE: (2), (3), (8) imply:
% 261.43/66.99 | | (9) $false
% 261.43/66.99 | |
% 261.43/66.99 | | CLOSE: (9) is inconsistent.
% 261.43/66.99 | |
% 261.43/66.99 | End of split
% 261.43/66.99 |
% 261.43/66.99 End of proof
% 261.43/66.99
% 261.43/66.99 Sub-proof #180 shows that the following formulas are inconsistent:
% 261.43/66.99 ----------------------------------------------------------------
% 261.43/66.99 (1) pred(n9) = all_4_20
% 261.43/66.99 (2) sum(all_4_21, all_4_18) = all_4_85
% 261.43/66.99 (3) sum(all_4_23, all_4_19) = all_4_17
% 261.43/66.99 (4) ~ (all_4_84 = all_4_85)
% 261.43/66.99 (5) pred(n9) = all_4_23
% 261.43/66.99 (6) sum(all_4_20, all_4_19) = all_4_18
% 261.43/66.99 (7) all_4_19 = n10
% 261.43/66.99 (8) sum(all_4_23, all_4_22) = all_4_21
% 261.43/66.99 (9) sum(n8, n10) = n7
% 261.43/66.99 (10) succ(n9) = all_4_22
% 261.43/66.99 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/66.99 | ~ (succ(v2) = v0))
% 261.43/66.99 (12) pred(n9) = n8
% 261.43/66.99 (13) sum(all_4_20, all_4_22) = all_4_16
% 261.43/66.99 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/66.99 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/66.99 (15) sum(all_4_17, all_4_16) = all_4_84
% 261.43/66.99 (16) succ(n9) = all_4_19
% 261.43/66.99 (17) sum(n7, n7) = n3
% 261.43/66.99 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/66.99 | ~ (pred(v2) = v0))
% 261.43/66.99
% 261.43/66.99 Begin of proof
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (11) with all_4_22, all_4_19, n9, simplifying with
% 261.43/66.99 | (10), (16) gives:
% 261.43/66.99 | (19) all_4_19 = all_4_22
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (18) with n8, all_4_20, n9, simplifying with (1),
% 261.43/66.99 | (12) gives:
% 261.43/66.99 | (20) all_4_20 = n8
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (18) with all_4_23, all_4_20, n9, simplifying with
% 261.43/66.99 | (1), (5) gives:
% 261.43/66.99 | (21) all_4_20 = all_4_23
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (7), (19) imply:
% 261.43/66.99 | (22) all_4_22 = n10
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (20), (21) imply:
% 261.43/66.99 | (23) all_4_23 = n8
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (6), (7), (20) imply:
% 261.43/66.99 | (24) sum(n8, n10) = all_4_18
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (13), (20), (22) imply:
% 261.43/66.99 | (25) sum(n8, n10) = all_4_16
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (3), (7), (23) imply:
% 261.43/66.99 | (26) sum(n8, n10) = all_4_17
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (8), (22), (23) imply:
% 261.43/66.99 | (27) sum(n8, n10) = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with n7, all_4_17, n10, n8, simplifying with
% 261.43/66.99 | (9), (26) gives:
% 261.43/66.99 | (28) all_4_17 = n7
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_18, all_4_17, n10, n8, simplifying
% 261.43/66.99 | with (24), (26) gives:
% 261.43/66.99 | (29) all_4_17 = all_4_18
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_17, all_4_16, n10, n8, simplifying
% 261.43/66.99 | with (25), (26) gives:
% 261.43/66.99 | (30) all_4_16 = all_4_17
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_21, all_4_16, n10, n8, simplifying
% 261.43/66.99 | with (25), (27) gives:
% 261.43/66.99 | (31) all_4_16 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (30), (31) imply:
% 261.43/66.99 | (32) all_4_17 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (32) implies:
% 261.43/66.99 | (33) all_4_17 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (28), (29) imply:
% 261.43/66.99 | (34) all_4_18 = n7
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (29), (33) imply:
% 261.43/66.99 | (35) all_4_18 = all_4_21
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (34), (35) imply:
% 261.43/66.99 | (36) all_4_21 = n7
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (31), (36) imply:
% 261.43/66.99 | (37) all_4_16 = n7
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (15), (28), (37) imply:
% 261.43/66.99 | (38) sum(n7, n7) = all_4_84
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (2), (34), (36) imply:
% 261.43/66.99 | (39) sum(n7, n7) = all_4_85
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with n3, all_4_84, n7, n7, simplifying with
% 261.43/66.99 | (17), (38) gives:
% 261.43/66.99 | (40) all_4_84 = n3
% 261.43/66.99 |
% 261.43/66.99 | GROUND_INST: instantiating (14) with all_4_85, all_4_84, n7, n7, simplifying
% 261.43/66.99 | with (38), (39) gives:
% 261.43/66.99 | (41) all_4_84 = all_4_85
% 261.43/66.99 |
% 261.43/66.99 | COMBINE_EQS: (40), (41) imply:
% 261.43/66.99 | (42) all_4_85 = n3
% 261.43/66.99 |
% 261.43/66.99 | SIMP: (42) implies:
% 261.43/66.99 | (43) all_4_85 = n3
% 261.43/66.99 |
% 261.43/66.99 | REDUCE: (4), (40), (43) imply:
% 261.43/67.00 | (44) $false
% 261.43/67.00 |
% 261.43/67.00 | CLOSE: (44) is inconsistent.
% 261.43/67.00 |
% 261.43/67.00 End of proof
% 261.43/67.00
% 261.43/67.00 Sub-proof #181 shows that the following formulas are inconsistent:
% 261.43/67.00 ----------------------------------------------------------------
% 261.43/67.00 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.43/67.00 (2) succ(all_4_84) = all_4_14
% 261.43/67.00 (3) succ(all_4_95) = all_4_51
% 261.43/67.00 (4) succ(all_4_87) = all_4_19
% 261.43/67.00 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.43/67.00 (6) succ(n1) = n2
% 261.43/67.00 (7) succ(all_4_91) = all_4_35
% 261.43/67.00 (8) sum(n4, n6) = n10
% 261.43/67.00 (9) sum(all_4_21, all_4_18) = all_4_85
% 261.43/67.00 (10) succ(all_4_92) = all_4_46
% 261.43/67.00 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.43/67.00 (12) ~ (all_4_82 = all_4_83)
% 261.43/67.00 (13) succ(all_4_89) = all_4_27
% 261.43/67.00 (14) sum(n2, n2) = n4
% 261.43/67.00 (15) pred(all_4_95) = all_4_55
% 261.43/67.00 (16) sum(all_4_44, all_4_46) = all_4_40
% 261.43/67.00 (17) all_4_98 = n9
% 261.43/67.00 (18) sum(all_4_28, all_4_30) = all_4_24
% 261.43/67.00 (19) sum(all_4_20, all_4_19) = all_4_18
% 261.43/67.00 (20) succ(n9) = n10
% 261.43/67.00 (21) sum(all_4_9, all_4_8) = all_4_82
% 261.43/67.00 (22) sum(all_4_52, all_4_54) = all_4_48
% 261.43/67.00 (23) sum(all_4_60, all_4_62) = all_4_56
% 261.43/67.00 (24) sum(all_4_71, all_4_70) = all_4_69
% 261.43/67.00 (25) sum(all_4_55, all_4_54) = all_4_53
% 261.43/67.00 (26) sum(all_4_23, all_4_22) = all_4_21
% 261.43/67.00 (27) sum(n2, n4) = n6
% 261.43/67.00 (28) sum(all_4_63, all_4_59) = all_4_57
% 261.43/67.00 (29) sum(all_4_31, all_4_27) = all_4_25
% 261.43/67.00 (30) sum(all_4_63, all_4_62) = all_4_61
% 261.43/67.00 (31) succ(all_4_94) = all_4_54
% 261.43/67.00 (32) sum(all_4_37, all_4_34) = all_4_89
% 261.43/67.00 (33) sum(n8, n8) = n5
% 261.43/67.00 (34) succ(all_4_86) = all_4_22
% 261.43/67.00 (35) pred(all_4_99) = all_4_71
% 261.43/67.00 (36) pred(all_4_86) = all_4_20
% 261.43/67.00 (37) succ(all_4_90) = all_4_38
% 261.43/67.00 (38) pred(all_4_88) = all_4_28
% 261.43/67.00 (39) pred(all_4_85) = all_4_15
% 261.43/67.00 (40) sum(all_4_15, all_4_14) = all_4_13
% 261.43/67.00 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.43/67.00 (42) sum(n8, n10) = n7
% 261.43/67.00 (43) sum(all_4_57, all_4_56) = all_4_94
% 261.43/67.00 (44) sum(n0, n2) = n2
% 261.43/67.00 (45) sum(all_4_33, all_4_32) = all_4_88
% 261.43/67.00 (46) sum(n3, n5) = n8
% 261.43/67.00 (47) sum(all_4_47, all_4_43) = all_4_41
% 261.43/67.00 (48) sum(all_4_12, all_4_14) = all_4_8
% 261.43/67.00 (49) pred(n5) = n4
% 261.43/67.00 (50) sum(all_4_29, all_4_26) = all_4_87
% 261.43/67.00 (51) pred(all_4_91) = all_4_39
% 261.43/67.00 (52) pred(all_4_89) = all_4_31
% 261.43/67.00 (53) pred(all_4_92) = all_4_44
% 261.43/67.00 (54) sum(all_4_65, all_4_64) = all_4_96
% 261.43/67.00 (55) pred(n4) = n3
% 261.43/67.00 (56) sum(n10, n10) = all_4_99
% 261.43/67.00 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/67.00 | ~ (succ(v2) = v0))
% 261.43/67.00 (58) pred(all_4_97) = all_4_63
% 261.43/67.00 (59) succ(all_4_99) = all_4_67
% 261.43/67.00 (60) pred(n9) = n8
% 261.43/67.00 (61) succ(n3) = n4
% 261.43/67.00 (62) pred(all_4_96) = all_4_60
% 261.43/67.00 (63) succ(all_4_96) = all_4_62
% 261.43/67.00 (64) pred(n3) = n2
% 261.43/67.00 (65) succ(all_4_88) = all_4_30
% 261.43/67.00 (66) sum(all_4_20, all_4_22) = all_4_16
% 261.43/67.00 (67) sum(all_4_12, all_4_11) = all_4_10
% 261.43/67.00 (68) sum(all_4_55, all_4_51) = all_4_49
% 261.43/67.00 (69) sum(all_4_36, all_4_35) = all_4_34
% 261.43/67.00 (70) sum(all_4_15, all_4_11) = all_4_9
% 261.43/67.00 (71) sum(all_4_47, all_4_46) = all_4_45
% 261.43/67.00 (72) pred(all_4_93) = all_4_47
% 261.43/67.00 (73) sum(all_4_71, all_4_67) = all_4_65
% 261.43/67.00 (74) sum(all_4_60, all_4_59) = all_4_58
% 261.43/67.00 (75) sum(all_4_41, all_4_40) = all_4_90
% 261.43/67.00 (76) sum(all_4_68, all_4_67) = all_4_66
% 261.43/67.00 (77) sum(all_4_39, all_4_35) = all_4_33
% 261.43/67.00 (78) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/67.00 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/67.00 (79) pred(all_4_87) = all_4_23
% 261.43/67.00 (80) all_4_99 = n9
% 261.43/67.00 (81) sum(all_4_45, all_4_42) = all_4_91
% 261.43/67.00 (82) sum(all_4_39, all_4_38) = all_4_37
% 261.43/67.00 (83) sum(n6, n6) = n1
% 261.43/67.00 (84) sum(all_4_44, all_4_43) = all_4_42
% 261.43/67.00 (85) succ(n5) = n6
% 261.43/67.00 (86) sum(all_4_69, all_4_66) = all_4_97
% 261.43/67.00 (87) succ(n4) = n5
% 261.43/67.00 (88) sum(all_4_17, all_4_16) = all_4_84
% 261.43/67.00 (89) sum(all_4_13, all_4_10) = all_4_83
% 261.43/67.00 (90) succ(all_4_98) = all_4_70
% 261.43/67.00 (91) pred(all_4_90) = all_4_36
% 261.43/67.00 (92) pred(n1) = n0
% 261.43/67.00 (93) sum(all_4_68, all_4_70) = all_4_64
% 261.43/67.00 (94) succ(all_4_97) = all_4_59
% 261.43/67.00 (95) sum(all_4_36, all_4_38) = all_4_32
% 261.43/67.00 (96) pred(all_4_84) = all_4_12
% 261.43/67.00 (97) sum(all_4_61, all_4_58) = all_4_95
% 261.43/67.00 (98) sum(n7, n7) = n3
% 261.43/67.00 (99) succ(all_4_85) = all_4_11
% 261.43/67.00 (100) sum(all_4_49, all_4_48) = all_4_92
% 261.43/67.00 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/67.00 | ~ (pred(v2) = v0))
% 261.43/67.00 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.43/67.00 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.43/67.00 (104) succ(all_4_93) = all_4_43
% 261.43/67.00 (105) pred(all_4_98) = all_4_68
% 261.43/67.00 (106) pred(all_4_94) = all_4_52
% 261.43/67.00
% 261.43/67.00 Begin of proof
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (17), (105) imply:
% 261.43/67.00 | (107) pred(n9) = all_4_68
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (35), (80) imply:
% 261.43/67.00 | (108) pred(n9) = all_4_71
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (17), (90) imply:
% 261.43/67.00 | (109) succ(n9) = all_4_70
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (59), (80) imply:
% 261.43/67.00 | (110) succ(n9) = all_4_67
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (56), (80) imply:
% 261.43/67.00 | (111) sum(n10, n10) = n9
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n10, all_4_67, n9, simplifying with (20),
% 261.43/67.00 | (110) gives:
% 261.43/67.00 | (112) all_4_67 = n10
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_70, all_4_67, n9, simplifying with
% 261.43/67.00 | (109), (110) gives:
% 261.43/67.00 | (113) all_4_67 = all_4_70
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n8, all_4_68, n9, simplifying with (60),
% 261.43/67.00 | (107) gives:
% 261.43/67.00 | (114) all_4_68 = n8
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with all_4_71, all_4_68, n9, simplifying with
% 261.43/67.00 | (107), (108) gives:
% 261.43/67.00 | (115) all_4_68 = all_4_71
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (112), (113) imply:
% 261.43/67.00 | (116) all_4_70 = n10
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (114), (115) imply:
% 261.43/67.00 | (117) all_4_71 = n8
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (76), (112), (114) imply:
% 261.43/67.00 | (118) sum(n8, n10) = all_4_66
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (93), (114), (116) imply:
% 261.43/67.00 | (119) sum(n8, n10) = all_4_64
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (73), (112), (117) imply:
% 261.43/67.00 | (120) sum(n8, n10) = all_4_65
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (24), (116), (117) imply:
% 261.43/67.00 | (121) sum(n8, n10) = all_4_69
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n7, all_4_65, n10, n8, simplifying with
% 261.43/67.00 | (42), (120) gives:
% 261.43/67.00 | (122) all_4_65 = n7
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_66, all_4_65, n10, n8, simplifying
% 261.43/67.00 | with (118), (120) gives:
% 261.43/67.00 | (123) all_4_65 = all_4_66
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_66, all_4_64, n10, n8, simplifying
% 261.43/67.00 | with (118), (119) gives:
% 261.43/67.00 | (124) all_4_64 = all_4_66
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_69, all_4_64, n10, n8, simplifying
% 261.43/67.00 | with (119), (121) gives:
% 261.43/67.00 | (125) all_4_64 = all_4_69
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (124), (125) imply:
% 261.43/67.00 | (126) all_4_66 = all_4_69
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (126) implies:
% 261.43/67.00 | (127) all_4_66 = all_4_69
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (122), (123) imply:
% 261.43/67.00 | (128) all_4_66 = n7
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (128) implies:
% 261.43/67.00 | (129) all_4_66 = n7
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (127), (129) imply:
% 261.43/67.00 | (130) all_4_69 = n7
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (125), (130) imply:
% 261.43/67.00 | (131) all_4_64 = n7
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (54), (122), (131) imply:
% 261.43/67.00 | (132) sum(n7, n7) = all_4_96
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (86), (129), (130) imply:
% 261.43/67.00 | (133) sum(n7, n7) = all_4_97
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n3, all_4_96, n7, n7, simplifying with
% 261.43/67.00 | (98), (132) gives:
% 261.43/67.00 | (134) all_4_96 = n3
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_97, all_4_96, n7, n7, simplifying
% 261.43/67.00 | with (132), (133) gives:
% 261.43/67.00 | (135) all_4_96 = all_4_97
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (134), (135) imply:
% 261.43/67.00 | (136) all_4_97 = n3
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (136) implies:
% 261.43/67.00 | (137) all_4_97 = n3
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (62), (134) imply:
% 261.43/67.00 | (138) pred(n3) = all_4_60
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (58), (137) imply:
% 261.43/67.00 | (139) pred(n3) = all_4_63
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (63), (134) imply:
% 261.43/67.00 | (140) succ(n3) = all_4_62
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (94), (137) imply:
% 261.43/67.00 | (141) succ(n3) = all_4_59
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n4, all_4_59, n3, simplifying with (61),
% 261.43/67.00 | (141) gives:
% 261.43/67.00 | (142) all_4_59 = n4
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_62, all_4_59, n3, simplifying with
% 261.43/67.00 | (140), (141) gives:
% 261.43/67.00 | (143) all_4_59 = all_4_62
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n2, all_4_60, n3, simplifying with (64),
% 261.43/67.00 | (138) gives:
% 261.43/67.00 | (144) all_4_60 = n2
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with all_4_63, all_4_60, n3, simplifying with
% 261.43/67.00 | (138), (139) gives:
% 261.43/67.00 | (145) all_4_60 = all_4_63
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (142), (143) imply:
% 261.43/67.00 | (146) all_4_62 = n4
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (144), (145) imply:
% 261.43/67.00 | (147) all_4_63 = n2
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (74), (142), (144) imply:
% 261.43/67.00 | (148) sum(n2, n4) = all_4_58
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (23), (144), (146) imply:
% 261.43/67.00 | (149) sum(n2, n4) = all_4_56
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (28), (142), (147) imply:
% 261.43/67.00 | (150) sum(n2, n4) = all_4_57
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (30), (146), (147) imply:
% 261.43/67.00 | (151) sum(n2, n4) = all_4_61
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n6, all_4_57, n4, n2, simplifying with
% 261.43/67.00 | (27), (150) gives:
% 261.43/67.00 | (152) all_4_57 = n6
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_58, all_4_57, n4, n2, simplifying
% 261.43/67.00 | with (148), (150) gives:
% 261.43/67.00 | (153) all_4_57 = all_4_58
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_57, all_4_56, n4, n2, simplifying
% 261.43/67.00 | with (149), (150) gives:
% 261.43/67.00 | (154) all_4_56 = all_4_57
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_61, all_4_56, n4, n2, simplifying
% 261.43/67.00 | with (149), (151) gives:
% 261.43/67.00 | (155) all_4_56 = all_4_61
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (154), (155) imply:
% 261.43/67.00 | (156) all_4_57 = all_4_61
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (156) implies:
% 261.43/67.00 | (157) all_4_57 = all_4_61
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (152), (153) imply:
% 261.43/67.00 | (158) all_4_58 = n6
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (153), (157) imply:
% 261.43/67.00 | (159) all_4_58 = all_4_61
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (158), (159) imply:
% 261.43/67.00 | (160) all_4_61 = n6
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (155), (160) imply:
% 261.43/67.00 | (161) all_4_56 = n6
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (43), (152), (161) imply:
% 261.43/67.00 | (162) sum(n6, n6) = all_4_94
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (97), (158), (160) imply:
% 261.43/67.00 | (163) sum(n6, n6) = all_4_95
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n1, all_4_94, n6, n6, simplifying with
% 261.43/67.00 | (83), (162) gives:
% 261.43/67.00 | (164) all_4_94 = n1
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_95, all_4_94, n6, n6, simplifying
% 261.43/67.00 | with (162), (163) gives:
% 261.43/67.00 | (165) all_4_94 = all_4_95
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (164), (165) imply:
% 261.43/67.00 | (166) all_4_95 = n1
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (106), (164) imply:
% 261.43/67.00 | (167) pred(n1) = all_4_52
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (15), (166) imply:
% 261.43/67.00 | (168) pred(n1) = all_4_55
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (31), (164) imply:
% 261.43/67.00 | (169) succ(n1) = all_4_54
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (3), (166) imply:
% 261.43/67.00 | (170) succ(n1) = all_4_51
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n2, all_4_51, n1, simplifying with (6),
% 261.43/67.00 | (170) gives:
% 261.43/67.00 | (171) all_4_51 = n2
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_54, all_4_51, n1, simplifying with
% 261.43/67.00 | (169), (170) gives:
% 261.43/67.00 | (172) all_4_51 = all_4_54
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n0, all_4_52, n1, simplifying with (92),
% 261.43/67.00 | (167) gives:
% 261.43/67.00 | (173) all_4_52 = n0
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with all_4_55, all_4_52, n1, simplifying with
% 261.43/67.00 | (167), (168) gives:
% 261.43/67.00 | (174) all_4_52 = all_4_55
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (171), (172) imply:
% 261.43/67.00 | (175) all_4_54 = n2
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (173), (174) imply:
% 261.43/67.00 | (176) all_4_55 = n0
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (176) implies:
% 261.43/67.00 | (177) all_4_55 = n0
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (102), (171), (173) imply:
% 261.43/67.00 | (178) sum(n0, n2) = all_4_50
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (22), (173), (175) imply:
% 261.43/67.00 | (179) sum(n0, n2) = all_4_48
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (68), (171), (177) imply:
% 261.43/67.00 | (180) sum(n0, n2) = all_4_49
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (25), (175), (177) imply:
% 261.43/67.00 | (181) sum(n0, n2) = all_4_53
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n2, all_4_49, n2, n0, simplifying with
% 261.43/67.00 | (44), (180) gives:
% 261.43/67.00 | (182) all_4_49 = n2
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_50, all_4_49, n2, n0, simplifying
% 261.43/67.00 | with (178), (180) gives:
% 261.43/67.00 | (183) all_4_49 = all_4_50
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_49, all_4_48, n2, n0, simplifying
% 261.43/67.00 | with (179), (180) gives:
% 261.43/67.00 | (184) all_4_48 = all_4_49
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_53, all_4_48, n2, n0, simplifying
% 261.43/67.00 | with (179), (181) gives:
% 261.43/67.00 | (185) all_4_48 = all_4_53
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (184), (185) imply:
% 261.43/67.00 | (186) all_4_49 = all_4_53
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (186) implies:
% 261.43/67.00 | (187) all_4_49 = all_4_53
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (182), (183) imply:
% 261.43/67.00 | (188) all_4_50 = n2
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (183), (187) imply:
% 261.43/67.00 | (189) all_4_50 = all_4_53
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (188), (189) imply:
% 261.43/67.00 | (190) all_4_53 = n2
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (185), (190) imply:
% 261.43/67.00 | (191) all_4_48 = n2
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (100), (182), (191) imply:
% 261.43/67.00 | (192) sum(n2, n2) = all_4_92
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (103), (188), (190) imply:
% 261.43/67.00 | (193) sum(n2, n2) = all_4_93
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n4, all_4_92, n2, n2, simplifying with
% 261.43/67.00 | (14), (192) gives:
% 261.43/67.00 | (194) all_4_92 = n4
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_93, all_4_92, n2, n2, simplifying
% 261.43/67.00 | with (192), (193) gives:
% 261.43/67.00 | (195) all_4_92 = all_4_93
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (194), (195) imply:
% 261.43/67.00 | (196) all_4_93 = n4
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (196) implies:
% 261.43/67.00 | (197) all_4_93 = n4
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (53), (194) imply:
% 261.43/67.00 | (198) pred(n4) = all_4_44
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (72), (197) imply:
% 261.43/67.00 | (199) pred(n4) = all_4_47
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (10), (194) imply:
% 261.43/67.00 | (200) succ(n4) = all_4_46
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (104), (197) imply:
% 261.43/67.00 | (201) succ(n4) = all_4_43
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n5, all_4_43, n4, simplifying with (87),
% 261.43/67.00 | (201) gives:
% 261.43/67.00 | (202) all_4_43 = n5
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_46, all_4_43, n4, simplifying with
% 261.43/67.00 | (200), (201) gives:
% 261.43/67.00 | (203) all_4_43 = all_4_46
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n3, all_4_44, n4, simplifying with (55),
% 261.43/67.00 | (198) gives:
% 261.43/67.00 | (204) all_4_44 = n3
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with all_4_47, all_4_44, n4, simplifying with
% 261.43/67.00 | (198), (199) gives:
% 261.43/67.00 | (205) all_4_44 = all_4_47
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (202), (203) imply:
% 261.43/67.00 | (206) all_4_46 = n5
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (204), (205) imply:
% 261.43/67.00 | (207) all_4_47 = n3
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (84), (202), (204) imply:
% 261.43/67.00 | (208) sum(n3, n5) = all_4_42
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (16), (204), (206) imply:
% 261.43/67.00 | (209) sum(n3, n5) = all_4_40
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (47), (202), (207) imply:
% 261.43/67.00 | (210) sum(n3, n5) = all_4_41
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (71), (206), (207) imply:
% 261.43/67.00 | (211) sum(n3, n5) = all_4_45
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n8, all_4_41, n5, n3, simplifying with
% 261.43/67.00 | (46), (210) gives:
% 261.43/67.00 | (212) all_4_41 = n8
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_42, all_4_41, n5, n3, simplifying
% 261.43/67.00 | with (208), (210) gives:
% 261.43/67.00 | (213) all_4_41 = all_4_42
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_41, all_4_40, n5, n3, simplifying
% 261.43/67.00 | with (209), (210) gives:
% 261.43/67.00 | (214) all_4_40 = all_4_41
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_45, all_4_40, n5, n3, simplifying
% 261.43/67.00 | with (209), (211) gives:
% 261.43/67.00 | (215) all_4_40 = all_4_45
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (214), (215) imply:
% 261.43/67.00 | (216) all_4_41 = all_4_45
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (216) implies:
% 261.43/67.00 | (217) all_4_41 = all_4_45
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (212), (213) imply:
% 261.43/67.00 | (218) all_4_42 = n8
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (213), (217) imply:
% 261.43/67.00 | (219) all_4_42 = all_4_45
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (218), (219) imply:
% 261.43/67.00 | (220) all_4_45 = n8
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (220) implies:
% 261.43/67.00 | (221) all_4_45 = n8
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (215), (221) imply:
% 261.43/67.00 | (222) all_4_40 = n8
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (75), (212), (222) imply:
% 261.43/67.00 | (223) sum(n8, n8) = all_4_90
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (81), (218), (221) imply:
% 261.43/67.00 | (224) sum(n8, n8) = all_4_91
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n5, all_4_90, n8, n8, simplifying with
% 261.43/67.00 | (33), (223) gives:
% 261.43/67.00 | (225) all_4_90 = n5
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_91, all_4_90, n8, n8, simplifying
% 261.43/67.00 | with (223), (224) gives:
% 261.43/67.00 | (226) all_4_90 = all_4_91
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (225), (226) imply:
% 261.43/67.00 | (227) all_4_91 = n5
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (227) implies:
% 261.43/67.00 | (228) all_4_91 = n5
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (91), (225) imply:
% 261.43/67.00 | (229) pred(n5) = all_4_36
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (51), (228) imply:
% 261.43/67.00 | (230) pred(n5) = all_4_39
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (37), (225) imply:
% 261.43/67.00 | (231) succ(n5) = all_4_38
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (7), (228) imply:
% 261.43/67.00 | (232) succ(n5) = all_4_35
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n6, all_4_35, n5, simplifying with (85),
% 261.43/67.00 | (232) gives:
% 261.43/67.00 | (233) all_4_35 = n6
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_38, all_4_35, n5, simplifying with
% 261.43/67.00 | (231), (232) gives:
% 261.43/67.00 | (234) all_4_35 = all_4_38
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n4, all_4_36, n5, simplifying with (49),
% 261.43/67.00 | (229) gives:
% 261.43/67.00 | (235) all_4_36 = n4
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with all_4_39, all_4_36, n5, simplifying with
% 261.43/67.00 | (229), (230) gives:
% 261.43/67.00 | (236) all_4_36 = all_4_39
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (233), (234) imply:
% 261.43/67.00 | (237) all_4_38 = n6
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (235), (236) imply:
% 261.43/67.00 | (238) all_4_39 = n4
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (69), (233), (235) imply:
% 261.43/67.00 | (239) sum(n4, n6) = all_4_34
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (95), (235), (237) imply:
% 261.43/67.00 | (240) sum(n4, n6) = all_4_32
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (77), (233), (238) imply:
% 261.43/67.00 | (241) sum(n4, n6) = all_4_33
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (82), (237), (238) imply:
% 261.43/67.00 | (242) sum(n4, n6) = all_4_37
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n10, all_4_33, n6, n4, simplifying with
% 261.43/67.00 | (8), (241) gives:
% 261.43/67.00 | (243) all_4_33 = n10
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_34, all_4_33, n6, n4, simplifying
% 261.43/67.00 | with (239), (241) gives:
% 261.43/67.00 | (244) all_4_33 = all_4_34
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_33, all_4_32, n6, n4, simplifying
% 261.43/67.00 | with (240), (241) gives:
% 261.43/67.00 | (245) all_4_32 = all_4_33
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_37, all_4_32, n6, n4, simplifying
% 261.43/67.00 | with (240), (242) gives:
% 261.43/67.00 | (246) all_4_32 = all_4_37
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (245), (246) imply:
% 261.43/67.00 | (247) all_4_33 = all_4_37
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (247) implies:
% 261.43/67.00 | (248) all_4_33 = all_4_37
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (243), (244) imply:
% 261.43/67.00 | (249) all_4_34 = n10
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (244), (248) imply:
% 261.43/67.00 | (250) all_4_34 = all_4_37
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (249), (250) imply:
% 261.43/67.00 | (251) all_4_37 = n10
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (246), (251) imply:
% 261.43/67.00 | (252) all_4_32 = n10
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (45), (243), (252) imply:
% 261.43/67.00 | (253) sum(n10, n10) = all_4_88
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (32), (249), (251) imply:
% 261.43/67.00 | (254) sum(n10, n10) = all_4_89
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n9, all_4_88, n10, n10, simplifying with
% 261.43/67.00 | (111), (253) gives:
% 261.43/67.00 | (255) all_4_88 = n9
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_89, all_4_88, n10, n10, simplifying
% 261.43/67.00 | with (253), (254) gives:
% 261.43/67.00 | (256) all_4_88 = all_4_89
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (255), (256) imply:
% 261.43/67.00 | (257) all_4_89 = n9
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (38), (255) imply:
% 261.43/67.00 | (258) pred(n9) = all_4_28
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (52), (257) imply:
% 261.43/67.00 | (259) pred(n9) = all_4_31
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (65), (255) imply:
% 261.43/67.00 | (260) succ(n9) = all_4_30
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (13), (257) imply:
% 261.43/67.00 | (261) succ(n9) = all_4_27
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n10, all_4_27, n9, simplifying with (20),
% 261.43/67.00 | (261) gives:
% 261.43/67.00 | (262) all_4_27 = n10
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_30, all_4_27, n9, simplifying with
% 261.43/67.00 | (260), (261) gives:
% 261.43/67.00 | (263) all_4_27 = all_4_30
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n8, all_4_28, n9, simplifying with (60),
% 261.43/67.00 | (258) gives:
% 261.43/67.00 | (264) all_4_28 = n8
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with all_4_31, all_4_28, n9, simplifying with
% 261.43/67.00 | (258), (259) gives:
% 261.43/67.00 | (265) all_4_28 = all_4_31
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (262), (263) imply:
% 261.43/67.00 | (266) all_4_30 = n10
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (264), (265) imply:
% 261.43/67.00 | (267) all_4_31 = n8
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (1), (262), (264) imply:
% 261.43/67.00 | (268) sum(n8, n10) = all_4_26
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (18), (264), (266) imply:
% 261.43/67.00 | (269) sum(n8, n10) = all_4_24
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (29), (262), (267) imply:
% 261.43/67.00 | (270) sum(n8, n10) = all_4_25
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (41), (266), (267) imply:
% 261.43/67.00 | (271) sum(n8, n10) = all_4_29
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n7, all_4_25, n10, n8, simplifying with
% 261.43/67.00 | (42), (270) gives:
% 261.43/67.00 | (272) all_4_25 = n7
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_26, all_4_25, n10, n8, simplifying
% 261.43/67.00 | with (268), (270) gives:
% 261.43/67.00 | (273) all_4_25 = all_4_26
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_25, all_4_24, n10, n8, simplifying
% 261.43/67.00 | with (269), (270) gives:
% 261.43/67.00 | (274) all_4_24 = all_4_25
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_29, all_4_24, n10, n8, simplifying
% 261.43/67.00 | with (269), (271) gives:
% 261.43/67.00 | (275) all_4_24 = all_4_29
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (274), (275) imply:
% 261.43/67.00 | (276) all_4_25 = all_4_29
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (276) implies:
% 261.43/67.00 | (277) all_4_25 = all_4_29
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (272), (273) imply:
% 261.43/67.00 | (278) all_4_26 = n7
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (273), (277) imply:
% 261.43/67.00 | (279) all_4_26 = all_4_29
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (278), (279) imply:
% 261.43/67.00 | (280) all_4_29 = n7
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (275), (280) imply:
% 261.43/67.00 | (281) all_4_24 = n7
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (5), (272), (281) imply:
% 261.43/67.00 | (282) sum(n7, n7) = all_4_86
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (50), (278), (280) imply:
% 261.43/67.00 | (283) sum(n7, n7) = all_4_87
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with n3, all_4_86, n7, n7, simplifying with
% 261.43/67.00 | (98), (282) gives:
% 261.43/67.00 | (284) all_4_86 = n3
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (78) with all_4_87, all_4_86, n7, n7, simplifying
% 261.43/67.00 | with (282), (283) gives:
% 261.43/67.00 | (285) all_4_86 = all_4_87
% 261.43/67.00 |
% 261.43/67.00 | COMBINE_EQS: (284), (285) imply:
% 261.43/67.00 | (286) all_4_87 = n3
% 261.43/67.00 |
% 261.43/67.00 | SIMP: (286) implies:
% 261.43/67.00 | (287) all_4_87 = n3
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (36), (284) imply:
% 261.43/67.00 | (288) pred(n3) = all_4_20
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (79), (287) imply:
% 261.43/67.00 | (289) pred(n3) = all_4_23
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (34), (284) imply:
% 261.43/67.00 | (290) succ(n3) = all_4_22
% 261.43/67.00 |
% 261.43/67.00 | REDUCE: (4), (287) imply:
% 261.43/67.00 | (291) succ(n3) = all_4_19
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with n4, all_4_19, n3, simplifying with (61),
% 261.43/67.00 | (291) gives:
% 261.43/67.00 | (292) all_4_19 = n4
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (57) with all_4_22, all_4_19, n3, simplifying with
% 261.43/67.00 | (290), (291) gives:
% 261.43/67.00 | (293) all_4_19 = all_4_22
% 261.43/67.00 |
% 261.43/67.00 | GROUND_INST: instantiating (101) with n2, all_4_20, n3, simplifying with (64),
% 261.43/67.00 | (288) gives:
% 261.43/67.00 | (294) all_4_20 = n2
% 261.43/67.00 |
% 261.43/67.01 | GROUND_INST: instantiating (101) with all_4_23, all_4_20, n3, simplifying with
% 261.43/67.01 | (288), (289) gives:
% 261.43/67.01 | (295) all_4_20 = all_4_23
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (292), (293) imply:
% 261.43/67.01 | (296) all_4_22 = n4
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (294), (295) imply:
% 261.43/67.01 | (297) all_4_23 = n2
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (19), (292), (294) imply:
% 261.43/67.01 | (298) sum(n2, n4) = all_4_18
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (66), (294), (296) imply:
% 261.43/67.01 | (299) sum(n2, n4) = all_4_16
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (11), (292), (297) imply:
% 261.43/67.01 | (300) sum(n2, n4) = all_4_17
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (26), (296), (297) imply:
% 261.43/67.01 | (301) sum(n2, n4) = all_4_21
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with n6, all_4_17, n4, n2, simplifying with
% 261.43/67.01 | (27), (300) gives:
% 261.43/67.01 | (302) all_4_17 = n6
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_18, all_4_17, n4, n2, simplifying
% 261.43/67.01 | with (298), (300) gives:
% 261.43/67.01 | (303) all_4_17 = all_4_18
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_17, all_4_16, n4, n2, simplifying
% 261.43/67.01 | with (299), (300) gives:
% 261.43/67.01 | (304) all_4_16 = all_4_17
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_21, all_4_16, n4, n2, simplifying
% 261.43/67.01 | with (299), (301) gives:
% 261.43/67.01 | (305) all_4_16 = all_4_21
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (304), (305) imply:
% 261.43/67.01 | (306) all_4_17 = all_4_21
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (306) implies:
% 261.43/67.01 | (307) all_4_17 = all_4_21
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (302), (303) imply:
% 261.43/67.01 | (308) all_4_18 = n6
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (303), (307) imply:
% 261.43/67.01 | (309) all_4_18 = all_4_21
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (308), (309) imply:
% 261.43/67.01 | (310) all_4_21 = n6
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (305), (310) imply:
% 261.43/67.01 | (311) all_4_16 = n6
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (88), (302), (311) imply:
% 261.43/67.01 | (312) sum(n6, n6) = all_4_84
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (9), (308), (310) imply:
% 261.43/67.01 | (313) sum(n6, n6) = all_4_85
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with n1, all_4_84, n6, n6, simplifying with
% 261.43/67.01 | (83), (312) gives:
% 261.43/67.01 | (314) all_4_84 = n1
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_85, all_4_84, n6, n6, simplifying
% 261.43/67.01 | with (312), (313) gives:
% 261.43/67.01 | (315) all_4_84 = all_4_85
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (314), (315) imply:
% 261.43/67.01 | (316) all_4_85 = n1
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (316) implies:
% 261.43/67.01 | (317) all_4_85 = n1
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (96), (314) imply:
% 261.43/67.01 | (318) pred(n1) = all_4_12
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (39), (317) imply:
% 261.43/67.01 | (319) pred(n1) = all_4_15
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (2), (314) imply:
% 261.43/67.01 | (320) succ(n1) = all_4_14
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (99), (317) imply:
% 261.43/67.01 | (321) succ(n1) = all_4_11
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (57) with n2, all_4_11, n1, simplifying with (6),
% 261.43/67.01 | (321) gives:
% 261.43/67.01 | (322) all_4_11 = n2
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (57) with all_4_14, all_4_11, n1, simplifying with
% 261.43/67.01 | (320), (321) gives:
% 261.43/67.01 | (323) all_4_11 = all_4_14
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (101) with n0, all_4_12, n1, simplifying with (92),
% 261.43/67.01 | (318) gives:
% 261.43/67.01 | (324) all_4_12 = n0
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (101) with all_4_15, all_4_12, n1, simplifying with
% 261.43/67.01 | (318), (319) gives:
% 261.43/67.01 | (325) all_4_12 = all_4_15
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (322), (323) imply:
% 261.43/67.01 | (326) all_4_14 = n2
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (324), (325) imply:
% 261.43/67.01 | (327) all_4_15 = n0
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (67), (322), (324) imply:
% 261.43/67.01 | (328) sum(n0, n2) = all_4_10
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (48), (324), (326) imply:
% 261.43/67.01 | (329) sum(n0, n2) = all_4_8
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (70), (322), (327) imply:
% 261.43/67.01 | (330) sum(n0, n2) = all_4_9
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (40), (326), (327) imply:
% 261.43/67.01 | (331) sum(n0, n2) = all_4_13
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with n2, all_4_9, n2, n0, simplifying with
% 261.43/67.01 | (44), (330) gives:
% 261.43/67.01 | (332) all_4_9 = n2
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_10, all_4_9, n2, n0, simplifying
% 261.43/67.01 | with (328), (330) gives:
% 261.43/67.01 | (333) all_4_9 = all_4_10
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_9, all_4_8, n2, n0, simplifying
% 261.43/67.01 | with (329), (330) gives:
% 261.43/67.01 | (334) all_4_8 = all_4_9
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_13, all_4_8, n2, n0, simplifying
% 261.43/67.01 | with (329), (331) gives:
% 261.43/67.01 | (335) all_4_8 = all_4_13
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (334), (335) imply:
% 261.43/67.01 | (336) all_4_9 = all_4_13
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (336) implies:
% 261.43/67.01 | (337) all_4_9 = all_4_13
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (332), (333) imply:
% 261.43/67.01 | (338) all_4_10 = n2
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (333), (337) imply:
% 261.43/67.01 | (339) all_4_10 = all_4_13
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (338), (339) imply:
% 261.43/67.01 | (340) all_4_13 = n2
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (335), (340) imply:
% 261.43/67.01 | (341) all_4_8 = n2
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (21), (332), (341) imply:
% 261.43/67.01 | (342) sum(n2, n2) = all_4_82
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (89), (338), (340) imply:
% 261.43/67.01 | (343) sum(n2, n2) = all_4_83
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with n4, all_4_82, n2, n2, simplifying with
% 261.43/67.01 | (14), (342) gives:
% 261.43/67.01 | (344) all_4_82 = n4
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (78) with all_4_83, all_4_82, n2, n2, simplifying
% 261.43/67.01 | with (342), (343) gives:
% 261.43/67.01 | (345) all_4_82 = all_4_83
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (344), (345) imply:
% 261.43/67.01 | (346) all_4_83 = n4
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (346) implies:
% 261.43/67.01 | (347) all_4_83 = n4
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (12), (344), (347) imply:
% 261.43/67.01 | (348) $false
% 261.43/67.01 |
% 261.43/67.01 | CLOSE: (348) is inconsistent.
% 261.43/67.01 |
% 261.43/67.01 End of proof
% 261.43/67.01
% 261.43/67.01 Sub-proof #182 shows that the following formulas are inconsistent:
% 261.43/67.01 ----------------------------------------------------------------
% 261.43/67.01 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.43/67.01 (2) succ(all_4_84) = all_4_14
% 261.43/67.01 (3) succ(all_4_95) = all_4_51
% 261.43/67.01 (4) succ(all_4_87) = all_4_19
% 261.43/67.01 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.43/67.01 (6) succ(all_4_91) = all_4_35
% 261.43/67.01 (7) sum(all_4_21, all_4_18) = all_4_85
% 261.43/67.01 (8) succ(all_4_92) = all_4_46
% 261.43/67.01 (9) all_4_99 = n0
% 261.43/67.01 (10) sum(all_4_23, all_4_19) = all_4_17
% 261.43/67.01 (11) ~ (all_4_82 = all_4_83)
% 261.43/67.01 (12) succ(all_4_89) = all_4_27
% 261.43/67.01 (13) pred(all_4_95) = all_4_55
% 261.43/67.01 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.43/67.01 (15) sum(all_4_28, all_4_30) = all_4_24
% 261.43/67.01 (16) sum(all_4_20, all_4_19) = all_4_18
% 261.43/67.01 (17) sum(all_4_9, all_4_8) = all_4_82
% 261.43/67.01 (18) sum(all_4_52, all_4_54) = all_4_48
% 261.43/67.01 (19) sum(all_4_60, all_4_62) = all_4_56
% 261.43/67.01 (20) sum(all_4_71, all_4_70) = all_4_69
% 261.43/67.01 (21) sum(all_4_55, all_4_54) = all_4_53
% 261.43/67.01 (22) sum(all_4_23, all_4_22) = all_4_21
% 261.43/67.01 (23) sum(all_4_63, all_4_59) = all_4_57
% 261.43/67.01 (24) sum(all_4_31, all_4_27) = all_4_25
% 261.43/67.01 (25) sum(all_4_63, all_4_62) = all_4_61
% 261.43/67.01 (26) succ(all_4_94) = all_4_54
% 261.43/67.01 (27) sum(all_4_37, all_4_34) = all_4_89
% 261.43/67.01 (28) sum(n10, n1) = n0
% 261.43/67.01 (29) succ(all_4_86) = all_4_22
% 261.43/67.01 (30) pred(all_4_99) = all_4_71
% 261.43/67.01 (31) pred(all_4_86) = all_4_20
% 261.43/67.01 (32) succ(all_4_90) = all_4_38
% 261.43/67.01 (33) pred(all_4_88) = all_4_28
% 261.43/67.01 (34) pred(all_4_85) = all_4_15
% 261.43/67.01 (35) sum(all_4_15, all_4_14) = all_4_13
% 261.43/67.01 (36) all_4_98 = n0
% 261.43/67.01 (37) succ(n0) = n1
% 261.43/67.01 (38) sum(all_4_31, all_4_30) = all_4_29
% 261.43/67.01 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.43/67.01 (40) sum(all_4_33, all_4_32) = all_4_88
% 261.43/67.01 (41) sum(all_4_47, all_4_43) = all_4_41
% 261.43/67.01 (42) sum(all_4_12, all_4_14) = all_4_8
% 261.43/67.01 (43) sum(all_4_29, all_4_26) = all_4_87
% 261.43/67.01 (44) pred(all_4_91) = all_4_39
% 261.43/67.01 (45) pred(all_4_89) = all_4_31
% 261.43/67.01 (46) pred(all_4_92) = all_4_44
% 261.43/67.01 (47) sum(all_4_65, all_4_64) = all_4_96
% 261.43/67.01 (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/67.01 | ~ (succ(v2) = v0))
% 261.43/67.01 (49) pred(all_4_97) = all_4_63
% 261.43/67.01 (50) succ(all_4_99) = all_4_67
% 261.43/67.01 (51) pred(all_4_96) = all_4_60
% 261.43/67.01 (52) succ(all_4_96) = all_4_62
% 261.43/67.01 (53) succ(all_4_88) = all_4_30
% 261.43/67.01 (54) sum(all_4_20, all_4_22) = all_4_16
% 261.43/67.01 (55) sum(all_4_12, all_4_11) = all_4_10
% 261.43/67.01 (56) sum(all_4_55, all_4_51) = all_4_49
% 261.43/67.01 (57) sum(all_4_36, all_4_35) = all_4_34
% 261.43/67.01 (58) sum(all_4_15, all_4_11) = all_4_9
% 261.43/67.01 (59) sum(all_4_47, all_4_46) = all_4_45
% 261.43/67.01 (60) pred(all_4_93) = all_4_47
% 261.43/67.01 (61) sum(all_4_71, all_4_67) = all_4_65
% 261.43/67.01 (62) sum(all_4_60, all_4_59) = all_4_58
% 261.43/67.01 (63) sum(all_4_41, all_4_40) = all_4_90
% 261.43/67.01 (64) sum(all_4_68, all_4_67) = all_4_66
% 261.43/67.01 (65) sum(all_4_39, all_4_35) = all_4_33
% 261.43/67.01 (66) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/67.01 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/67.01 (67) pred(all_4_87) = all_4_23
% 261.43/67.01 (68) sum(all_4_45, all_4_42) = all_4_91
% 261.43/67.01 (69) sum(all_4_39, all_4_38) = all_4_37
% 261.43/67.01 (70) sum(all_4_44, all_4_43) = all_4_42
% 261.43/67.01 (71) sum(all_4_69, all_4_66) = all_4_97
% 261.43/67.01 (72) sum(n0, n0) = all_4_99
% 261.43/67.01 (73) sum(all_4_17, all_4_16) = all_4_84
% 261.43/67.01 (74) sum(all_4_13, all_4_10) = all_4_83
% 261.43/67.01 (75) succ(all_4_98) = all_4_70
% 261.43/67.01 (76) pred(all_4_90) = all_4_36
% 261.43/67.01 (77) sum(all_4_68, all_4_70) = all_4_64
% 261.43/67.01 (78) succ(all_4_97) = all_4_59
% 261.43/67.01 (79) sum(all_4_36, all_4_38) = all_4_32
% 261.43/67.01 (80) pred(all_4_84) = all_4_12
% 261.43/67.01 (81) sum(all_4_61, all_4_58) = all_4_95
% 261.43/67.01 (82) succ(all_4_85) = all_4_11
% 261.43/67.01 (83) sum(all_4_49, all_4_48) = all_4_92
% 261.43/67.01 (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/67.01 | ~ (pred(v2) = v0))
% 261.43/67.01 (85) sum(all_4_52, all_4_51) = all_4_50
% 261.43/67.01 (86) sum(all_4_53, all_4_50) = all_4_93
% 261.43/67.01 (87) succ(all_4_93) = all_4_43
% 261.43/67.01 (88) pred(all_4_98) = all_4_68
% 261.43/67.01 (89) pred(n0) = n10
% 261.43/67.01 (90) pred(all_4_94) = all_4_52
% 261.43/67.01
% 261.43/67.01 Begin of proof
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (36), (88) imply:
% 261.43/67.01 | (91) pred(n0) = all_4_68
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (9), (30) imply:
% 261.43/67.01 | (92) pred(n0) = all_4_71
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (36), (75) imply:
% 261.43/67.01 | (93) succ(n0) = all_4_70
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (9), (50) imply:
% 261.43/67.01 | (94) succ(n0) = all_4_67
% 261.43/67.01 |
% 261.43/67.01 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 261.43/67.01 | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 261.43/67.01 | (24), (25), (26), (27), (28), (29), (31), (32), (33), (34), (35),
% 261.43/67.01 | (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 261.43/67.01 | (48), (49), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 261.43/67.01 | (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), (70),
% 261.43/67.01 | (71), (72), (73), (74), (76), (77), (78), (79), (80), (81), (82),
% 261.43/67.01 | (83), (84), (85), (86), (87), (89), (90), (91), (92), (93), (94)
% 261.43/67.01 | are inconsistent by sub-proof #183.
% 261.43/67.01 |
% 261.43/67.01 End of proof
% 261.43/67.01
% 261.43/67.01 Sub-proof #183 shows that the following formulas are inconsistent:
% 261.43/67.01 ----------------------------------------------------------------
% 261.43/67.01 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.43/67.01 (2) succ(all_4_84) = all_4_14
% 261.43/67.01 (3) succ(all_4_95) = all_4_51
% 261.43/67.01 (4) succ(all_4_87) = all_4_19
% 261.43/67.01 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.43/67.01 (6) succ(all_4_91) = all_4_35
% 261.43/67.01 (7) sum(all_4_21, all_4_18) = all_4_85
% 261.43/67.01 (8) succ(all_4_92) = all_4_46
% 261.43/67.01 (9) all_4_99 = n0
% 261.43/67.01 (10) sum(all_4_23, all_4_19) = all_4_17
% 261.43/67.01 (11) ~ (all_4_82 = all_4_83)
% 261.43/67.01 (12) succ(all_4_89) = all_4_27
% 261.43/67.01 (13) pred(all_4_95) = all_4_55
% 261.43/67.01 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.43/67.01 (15) sum(all_4_28, all_4_30) = all_4_24
% 261.43/67.01 (16) sum(all_4_20, all_4_19) = all_4_18
% 261.43/67.01 (17) succ(n0) = all_4_70
% 261.43/67.01 (18) sum(all_4_9, all_4_8) = all_4_82
% 261.43/67.01 (19) sum(all_4_52, all_4_54) = all_4_48
% 261.43/67.01 (20) sum(all_4_60, all_4_62) = all_4_56
% 261.43/67.01 (21) sum(all_4_71, all_4_70) = all_4_69
% 261.43/67.01 (22) sum(all_4_55, all_4_54) = all_4_53
% 261.43/67.01 (23) sum(all_4_23, all_4_22) = all_4_21
% 261.43/67.01 (24) sum(all_4_63, all_4_59) = all_4_57
% 261.43/67.01 (25) sum(all_4_31, all_4_27) = all_4_25
% 261.43/67.01 (26) sum(all_4_63, all_4_62) = all_4_61
% 261.43/67.01 (27) succ(all_4_94) = all_4_54
% 261.43/67.01 (28) sum(all_4_37, all_4_34) = all_4_89
% 261.43/67.01 (29) succ(n0) = all_4_67
% 261.43/67.01 (30) sum(n10, n1) = n0
% 261.43/67.01 (31) succ(all_4_86) = all_4_22
% 261.43/67.01 (32) pred(all_4_86) = all_4_20
% 261.43/67.01 (33) succ(all_4_90) = all_4_38
% 261.43/67.01 (34) pred(all_4_88) = all_4_28
% 261.43/67.01 (35) pred(all_4_85) = all_4_15
% 261.43/67.01 (36) sum(all_4_15, all_4_14) = all_4_13
% 261.43/67.01 (37) succ(n0) = n1
% 261.43/67.01 (38) sum(all_4_31, all_4_30) = all_4_29
% 261.43/67.01 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.43/67.01 (40) sum(all_4_33, all_4_32) = all_4_88
% 261.43/67.01 (41) sum(all_4_47, all_4_43) = all_4_41
% 261.43/67.01 (42) sum(all_4_12, all_4_14) = all_4_8
% 261.43/67.01 (43) sum(all_4_29, all_4_26) = all_4_87
% 261.43/67.01 (44) pred(all_4_91) = all_4_39
% 261.43/67.01 (45) pred(all_4_89) = all_4_31
% 261.43/67.01 (46) pred(all_4_92) = all_4_44
% 261.43/67.01 (47) sum(all_4_65, all_4_64) = all_4_96
% 261.43/67.01 (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/67.01 | ~ (succ(v2) = v0))
% 261.43/67.01 (49) pred(all_4_97) = all_4_63
% 261.43/67.01 (50) pred(all_4_96) = all_4_60
% 261.43/67.01 (51) succ(all_4_96) = all_4_62
% 261.43/67.01 (52) succ(all_4_88) = all_4_30
% 261.43/67.01 (53) sum(all_4_20, all_4_22) = all_4_16
% 261.43/67.01 (54) sum(all_4_12, all_4_11) = all_4_10
% 261.43/67.01 (55) pred(n0) = all_4_71
% 261.43/67.01 (56) sum(all_4_55, all_4_51) = all_4_49
% 261.43/67.01 (57) sum(all_4_36, all_4_35) = all_4_34
% 261.43/67.01 (58) sum(all_4_15, all_4_11) = all_4_9
% 261.43/67.01 (59) sum(all_4_47, all_4_46) = all_4_45
% 261.43/67.01 (60) pred(all_4_93) = all_4_47
% 261.43/67.01 (61) sum(all_4_71, all_4_67) = all_4_65
% 261.43/67.01 (62) sum(all_4_60, all_4_59) = all_4_58
% 261.43/67.01 (63) sum(all_4_41, all_4_40) = all_4_90
% 261.43/67.01 (64) sum(all_4_68, all_4_67) = all_4_66
% 261.43/67.01 (65) sum(all_4_39, all_4_35) = all_4_33
% 261.43/67.01 (66) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/67.01 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/67.01 (67) pred(all_4_87) = all_4_23
% 261.43/67.01 (68) sum(all_4_45, all_4_42) = all_4_91
% 261.43/67.01 (69) sum(all_4_39, all_4_38) = all_4_37
% 261.43/67.01 (70) sum(all_4_44, all_4_43) = all_4_42
% 261.43/67.01 (71) sum(all_4_69, all_4_66) = all_4_97
% 261.43/67.01 (72) sum(n0, n0) = all_4_99
% 261.43/67.01 (73) sum(all_4_17, all_4_16) = all_4_84
% 261.43/67.01 (74) sum(all_4_13, all_4_10) = all_4_83
% 261.43/67.01 (75) pred(all_4_90) = all_4_36
% 261.43/67.01 (76) sum(all_4_68, all_4_70) = all_4_64
% 261.43/67.01 (77) succ(all_4_97) = all_4_59
% 261.43/67.01 (78) sum(all_4_36, all_4_38) = all_4_32
% 261.43/67.01 (79) pred(all_4_84) = all_4_12
% 261.43/67.01 (80) sum(all_4_61, all_4_58) = all_4_95
% 261.43/67.01 (81) pred(n0) = all_4_68
% 261.43/67.01 (82) succ(all_4_85) = all_4_11
% 261.43/67.01 (83) sum(all_4_49, all_4_48) = all_4_92
% 261.43/67.01 (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/67.01 | ~ (pred(v2) = v0))
% 261.43/67.01 (85) sum(all_4_52, all_4_51) = all_4_50
% 261.43/67.01 (86) sum(all_4_53, all_4_50) = all_4_93
% 261.43/67.01 (87) succ(all_4_93) = all_4_43
% 261.43/67.01 (88) pred(n0) = n10
% 261.43/67.01 (89) pred(all_4_94) = all_4_52
% 261.43/67.01
% 261.43/67.01 Begin of proof
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (9), (72) imply:
% 261.43/67.01 | (90) sum(n0, n0) = n0
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (48) with n1, all_4_67, n0, simplifying with (29),
% 261.43/67.01 | (37) gives:
% 261.43/67.01 | (91) all_4_67 = n1
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (48) with all_4_70, all_4_67, n0, simplifying with
% 261.43/67.01 | (17), (29) gives:
% 261.43/67.01 | (92) all_4_67 = all_4_70
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (84) with n10, all_4_68, n0, simplifying with (81),
% 261.43/67.01 | (88) gives:
% 261.43/67.01 | (93) all_4_68 = n10
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (84) with all_4_71, all_4_68, n0, simplifying with
% 261.43/67.01 | (55), (81) gives:
% 261.43/67.01 | (94) all_4_68 = all_4_71
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (91), (92) imply:
% 261.43/67.01 | (95) all_4_70 = n1
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (93), (94) imply:
% 261.43/67.01 | (96) all_4_71 = n10
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (64), (91), (93) imply:
% 261.43/67.01 | (97) sum(n10, n1) = all_4_66
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (76), (93), (95) imply:
% 261.43/67.01 | (98) sum(n10, n1) = all_4_64
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (61), (91), (96) imply:
% 261.43/67.01 | (99) sum(n10, n1) = all_4_65
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (21), (95), (96) imply:
% 261.43/67.01 | (100) sum(n10, n1) = all_4_69
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with n0, all_4_65, n1, n10, simplifying with
% 261.43/67.01 | (30), (99) gives:
% 261.43/67.01 | (101) all_4_65 = n0
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_66, all_4_65, n1, n10, simplifying
% 261.43/67.01 | with (97), (99) gives:
% 261.43/67.01 | (102) all_4_65 = all_4_66
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_66, all_4_64, n1, n10, simplifying
% 261.43/67.01 | with (97), (98) gives:
% 261.43/67.01 | (103) all_4_64 = all_4_66
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_69, all_4_64, n1, n10, simplifying
% 261.43/67.01 | with (98), (100) gives:
% 261.43/67.01 | (104) all_4_64 = all_4_69
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (103), (104) imply:
% 261.43/67.01 | (105) all_4_66 = all_4_69
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (105) implies:
% 261.43/67.01 | (106) all_4_66 = all_4_69
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (101), (102) imply:
% 261.43/67.01 | (107) all_4_66 = n0
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (107) implies:
% 261.43/67.01 | (108) all_4_66 = n0
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (106), (108) imply:
% 261.43/67.01 | (109) all_4_69 = n0
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (104), (109) imply:
% 261.43/67.01 | (110) all_4_64 = n0
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (47), (101), (110) imply:
% 261.43/67.01 | (111) sum(n0, n0) = all_4_96
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (71), (108), (109) imply:
% 261.43/67.01 | (112) sum(n0, n0) = all_4_97
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with n0, all_4_96, n0, n0, simplifying with
% 261.43/67.01 | (90), (111) gives:
% 261.43/67.01 | (113) all_4_96 = n0
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_97, all_4_96, n0, n0, simplifying
% 261.43/67.01 | with (111), (112) gives:
% 261.43/67.01 | (114) all_4_96 = all_4_97
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (113), (114) imply:
% 261.43/67.01 | (115) all_4_97 = n0
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (115) implies:
% 261.43/67.01 | (116) all_4_97 = n0
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (50), (113) imply:
% 261.43/67.01 | (117) pred(n0) = all_4_60
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (49), (116) imply:
% 261.43/67.01 | (118) pred(n0) = all_4_63
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (51), (113) imply:
% 261.43/67.01 | (119) succ(n0) = all_4_62
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (77), (116) imply:
% 261.43/67.01 | (120) succ(n0) = all_4_59
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (48) with n1, all_4_59, n0, simplifying with (37),
% 261.43/67.01 | (120) gives:
% 261.43/67.01 | (121) all_4_59 = n1
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (48) with all_4_62, all_4_59, n0, simplifying with
% 261.43/67.01 | (119), (120) gives:
% 261.43/67.01 | (122) all_4_59 = all_4_62
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (84) with n10, all_4_60, n0, simplifying with (88),
% 261.43/67.01 | (117) gives:
% 261.43/67.01 | (123) all_4_60 = n10
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (84) with all_4_63, all_4_60, n0, simplifying with
% 261.43/67.01 | (117), (118) gives:
% 261.43/67.01 | (124) all_4_60 = all_4_63
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (121), (122) imply:
% 261.43/67.01 | (125) all_4_62 = n1
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (123), (124) imply:
% 261.43/67.01 | (126) all_4_63 = n10
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (62), (121), (123) imply:
% 261.43/67.01 | (127) sum(n10, n1) = all_4_58
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (20), (123), (125) imply:
% 261.43/67.01 | (128) sum(n10, n1) = all_4_56
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (24), (121), (126) imply:
% 261.43/67.01 | (129) sum(n10, n1) = all_4_57
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (26), (125), (126) imply:
% 261.43/67.01 | (130) sum(n10, n1) = all_4_61
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with n0, all_4_57, n1, n10, simplifying with
% 261.43/67.01 | (30), (129) gives:
% 261.43/67.01 | (131) all_4_57 = n0
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_58, all_4_57, n1, n10, simplifying
% 261.43/67.01 | with (127), (129) gives:
% 261.43/67.01 | (132) all_4_57 = all_4_58
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_57, all_4_56, n1, n10, simplifying
% 261.43/67.01 | with (128), (129) gives:
% 261.43/67.01 | (133) all_4_56 = all_4_57
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_61, all_4_56, n1, n10, simplifying
% 261.43/67.01 | with (128), (130) gives:
% 261.43/67.01 | (134) all_4_56 = all_4_61
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (133), (134) imply:
% 261.43/67.01 | (135) all_4_57 = all_4_61
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (135) implies:
% 261.43/67.01 | (136) all_4_57 = all_4_61
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (131), (132) imply:
% 261.43/67.01 | (137) all_4_58 = n0
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (132), (136) imply:
% 261.43/67.01 | (138) all_4_58 = all_4_61
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (137), (138) imply:
% 261.43/67.01 | (139) all_4_61 = n0
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (134), (139) imply:
% 261.43/67.01 | (140) all_4_56 = n0
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (39), (131), (140) imply:
% 261.43/67.01 | (141) sum(n0, n0) = all_4_94
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (80), (137), (139) imply:
% 261.43/67.01 | (142) sum(n0, n0) = all_4_95
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with n0, all_4_94, n0, n0, simplifying with
% 261.43/67.01 | (90), (141) gives:
% 261.43/67.01 | (143) all_4_94 = n0
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with all_4_95, all_4_94, n0, n0, simplifying
% 261.43/67.01 | with (141), (142) gives:
% 261.43/67.01 | (144) all_4_94 = all_4_95
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (143), (144) imply:
% 261.43/67.01 | (145) all_4_95 = n0
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (89), (143) imply:
% 261.43/67.01 | (146) pred(n0) = all_4_52
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (13), (145) imply:
% 261.43/67.01 | (147) pred(n0) = all_4_55
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (27), (143) imply:
% 261.43/67.01 | (148) succ(n0) = all_4_54
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (3), (145) imply:
% 261.43/67.01 | (149) succ(n0) = all_4_51
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (48) with n1, all_4_51, n0, simplifying with (37),
% 261.43/67.01 | (149) gives:
% 261.43/67.01 | (150) all_4_51 = n1
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (48) with all_4_54, all_4_51, n0, simplifying with
% 261.43/67.01 | (148), (149) gives:
% 261.43/67.01 | (151) all_4_51 = all_4_54
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (84) with n10, all_4_52, n0, simplifying with (88),
% 261.43/67.01 | (146) gives:
% 261.43/67.01 | (152) all_4_52 = n10
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (84) with all_4_55, all_4_52, n0, simplifying with
% 261.43/67.01 | (146), (147) gives:
% 261.43/67.01 | (153) all_4_52 = all_4_55
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (150), (151) imply:
% 261.43/67.01 | (154) all_4_54 = n1
% 261.43/67.01 |
% 261.43/67.01 | COMBINE_EQS: (152), (153) imply:
% 261.43/67.01 | (155) all_4_55 = n10
% 261.43/67.01 |
% 261.43/67.01 | SIMP: (155) implies:
% 261.43/67.01 | (156) all_4_55 = n10
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (85), (150), (152) imply:
% 261.43/67.01 | (157) sum(n10, n1) = all_4_50
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (19), (152), (154) imply:
% 261.43/67.01 | (158) sum(n10, n1) = all_4_48
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (56), (150), (156) imply:
% 261.43/67.01 | (159) sum(n10, n1) = all_4_49
% 261.43/67.01 |
% 261.43/67.01 | REDUCE: (22), (154), (156) imply:
% 261.43/67.01 | (160) sum(n10, n1) = all_4_53
% 261.43/67.01 |
% 261.43/67.01 | GROUND_INST: instantiating (66) with n0, all_4_49, n1, n10, simplifying with
% 261.43/67.01 | (30), (159) gives:
% 261.43/67.02 | (161) all_4_49 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_50, all_4_49, n1, n10, simplifying
% 261.43/67.02 | with (157), (159) gives:
% 261.43/67.02 | (162) all_4_49 = all_4_50
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_49, all_4_48, n1, n10, simplifying
% 261.43/67.02 | with (158), (159) gives:
% 261.43/67.02 | (163) all_4_48 = all_4_49
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_53, all_4_48, n1, n10, simplifying
% 261.43/67.02 | with (158), (160) gives:
% 261.43/67.02 | (164) all_4_48 = all_4_53
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (163), (164) imply:
% 261.43/67.02 | (165) all_4_49 = all_4_53
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (165) implies:
% 261.43/67.02 | (166) all_4_49 = all_4_53
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (161), (162) imply:
% 261.43/67.02 | (167) all_4_50 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (162), (166) imply:
% 261.43/67.02 | (168) all_4_50 = all_4_53
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (167), (168) imply:
% 261.43/67.02 | (169) all_4_53 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (164), (169) imply:
% 261.43/67.02 | (170) all_4_48 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (83), (161), (170) imply:
% 261.43/67.02 | (171) sum(n0, n0) = all_4_92
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (86), (167), (169) imply:
% 261.43/67.02 | (172) sum(n0, n0) = all_4_93
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_92, n0, n0, simplifying with
% 261.43/67.02 | (90), (171) gives:
% 261.43/67.02 | (173) all_4_92 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_93, all_4_92, n0, n0, simplifying
% 261.43/67.02 | with (171), (172) gives:
% 261.43/67.02 | (174) all_4_92 = all_4_93
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (173), (174) imply:
% 261.43/67.02 | (175) all_4_93 = n0
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (175) implies:
% 261.43/67.02 | (176) all_4_93 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (46), (173) imply:
% 261.43/67.02 | (177) pred(n0) = all_4_44
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (60), (176) imply:
% 261.43/67.02 | (178) pred(n0) = all_4_47
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (8), (173) imply:
% 261.43/67.02 | (179) succ(n0) = all_4_46
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (87), (176) imply:
% 261.43/67.02 | (180) succ(n0) = all_4_43
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with n1, all_4_43, n0, simplifying with (37),
% 261.43/67.02 | (180) gives:
% 261.43/67.02 | (181) all_4_43 = n1
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with all_4_46, all_4_43, n0, simplifying with
% 261.43/67.02 | (179), (180) gives:
% 261.43/67.02 | (182) all_4_43 = all_4_46
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with n10, all_4_44, n0, simplifying with (88),
% 261.43/67.02 | (177) gives:
% 261.43/67.02 | (183) all_4_44 = n10
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with all_4_47, all_4_44, n0, simplifying with
% 261.43/67.02 | (177), (178) gives:
% 261.43/67.02 | (184) all_4_44 = all_4_47
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (181), (182) imply:
% 261.43/67.02 | (185) all_4_46 = n1
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (183), (184) imply:
% 261.43/67.02 | (186) all_4_47 = n10
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (70), (181), (183) imply:
% 261.43/67.02 | (187) sum(n10, n1) = all_4_42
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (14), (183), (185) imply:
% 261.43/67.02 | (188) sum(n10, n1) = all_4_40
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (41), (181), (186) imply:
% 261.43/67.02 | (189) sum(n10, n1) = all_4_41
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (59), (185), (186) imply:
% 261.43/67.02 | (190) sum(n10, n1) = all_4_45
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_41, n1, n10, simplifying with
% 261.43/67.02 | (30), (189) gives:
% 261.43/67.02 | (191) all_4_41 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_42, all_4_41, n1, n10, simplifying
% 261.43/67.02 | with (187), (189) gives:
% 261.43/67.02 | (192) all_4_41 = all_4_42
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_41, all_4_40, n1, n10, simplifying
% 261.43/67.02 | with (188), (189) gives:
% 261.43/67.02 | (193) all_4_40 = all_4_41
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_45, all_4_40, n1, n10, simplifying
% 261.43/67.02 | with (188), (190) gives:
% 261.43/67.02 | (194) all_4_40 = all_4_45
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (193), (194) imply:
% 261.43/67.02 | (195) all_4_41 = all_4_45
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (195) implies:
% 261.43/67.02 | (196) all_4_41 = all_4_45
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (191), (192) imply:
% 261.43/67.02 | (197) all_4_42 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (192), (196) imply:
% 261.43/67.02 | (198) all_4_42 = all_4_45
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (197), (198) imply:
% 261.43/67.02 | (199) all_4_45 = n0
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (199) implies:
% 261.43/67.02 | (200) all_4_45 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (194), (200) imply:
% 261.43/67.02 | (201) all_4_40 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (63), (191), (201) imply:
% 261.43/67.02 | (202) sum(n0, n0) = all_4_90
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (68), (197), (200) imply:
% 261.43/67.02 | (203) sum(n0, n0) = all_4_91
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_90, n0, n0, simplifying with
% 261.43/67.02 | (90), (202) gives:
% 261.43/67.02 | (204) all_4_90 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_91, all_4_90, n0, n0, simplifying
% 261.43/67.02 | with (202), (203) gives:
% 261.43/67.02 | (205) all_4_90 = all_4_91
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (204), (205) imply:
% 261.43/67.02 | (206) all_4_91 = n0
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (206) implies:
% 261.43/67.02 | (207) all_4_91 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (75), (204) imply:
% 261.43/67.02 | (208) pred(n0) = all_4_36
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (44), (207) imply:
% 261.43/67.02 | (209) pred(n0) = all_4_39
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (33), (204) imply:
% 261.43/67.02 | (210) succ(n0) = all_4_38
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (6), (207) imply:
% 261.43/67.02 | (211) succ(n0) = all_4_35
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with n1, all_4_35, n0, simplifying with (37),
% 261.43/67.02 | (211) gives:
% 261.43/67.02 | (212) all_4_35 = n1
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with all_4_38, all_4_35, n0, simplifying with
% 261.43/67.02 | (210), (211) gives:
% 261.43/67.02 | (213) all_4_35 = all_4_38
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with n10, all_4_36, n0, simplifying with (88),
% 261.43/67.02 | (208) gives:
% 261.43/67.02 | (214) all_4_36 = n10
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with all_4_39, all_4_36, n0, simplifying with
% 261.43/67.02 | (208), (209) gives:
% 261.43/67.02 | (215) all_4_36 = all_4_39
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (212), (213) imply:
% 261.43/67.02 | (216) all_4_38 = n1
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (214), (215) imply:
% 261.43/67.02 | (217) all_4_39 = n10
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (57), (212), (214) imply:
% 261.43/67.02 | (218) sum(n10, n1) = all_4_34
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (78), (214), (216) imply:
% 261.43/67.02 | (219) sum(n10, n1) = all_4_32
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (65), (212), (217) imply:
% 261.43/67.02 | (220) sum(n10, n1) = all_4_33
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (69), (216), (217) imply:
% 261.43/67.02 | (221) sum(n10, n1) = all_4_37
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_33, n1, n10, simplifying with
% 261.43/67.02 | (30), (220) gives:
% 261.43/67.02 | (222) all_4_33 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_34, all_4_33, n1, n10, simplifying
% 261.43/67.02 | with (218), (220) gives:
% 261.43/67.02 | (223) all_4_33 = all_4_34
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_33, all_4_32, n1, n10, simplifying
% 261.43/67.02 | with (219), (220) gives:
% 261.43/67.02 | (224) all_4_32 = all_4_33
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_37, all_4_32, n1, n10, simplifying
% 261.43/67.02 | with (219), (221) gives:
% 261.43/67.02 | (225) all_4_32 = all_4_37
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (224), (225) imply:
% 261.43/67.02 | (226) all_4_33 = all_4_37
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (226) implies:
% 261.43/67.02 | (227) all_4_33 = all_4_37
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (222), (223) imply:
% 261.43/67.02 | (228) all_4_34 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (223), (227) imply:
% 261.43/67.02 | (229) all_4_34 = all_4_37
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (228), (229) imply:
% 261.43/67.02 | (230) all_4_37 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (225), (230) imply:
% 261.43/67.02 | (231) all_4_32 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (40), (222), (231) imply:
% 261.43/67.02 | (232) sum(n0, n0) = all_4_88
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (28), (228), (230) imply:
% 261.43/67.02 | (233) sum(n0, n0) = all_4_89
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_88, n0, n0, simplifying with
% 261.43/67.02 | (90), (232) gives:
% 261.43/67.02 | (234) all_4_88 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_89, all_4_88, n0, n0, simplifying
% 261.43/67.02 | with (232), (233) gives:
% 261.43/67.02 | (235) all_4_88 = all_4_89
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (234), (235) imply:
% 261.43/67.02 | (236) all_4_89 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (34), (234) imply:
% 261.43/67.02 | (237) pred(n0) = all_4_28
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (45), (236) imply:
% 261.43/67.02 | (238) pred(n0) = all_4_31
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (52), (234) imply:
% 261.43/67.02 | (239) succ(n0) = all_4_30
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (12), (236) imply:
% 261.43/67.02 | (240) succ(n0) = all_4_27
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with n1, all_4_27, n0, simplifying with (37),
% 261.43/67.02 | (240) gives:
% 261.43/67.02 | (241) all_4_27 = n1
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with all_4_30, all_4_27, n0, simplifying with
% 261.43/67.02 | (239), (240) gives:
% 261.43/67.02 | (242) all_4_27 = all_4_30
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with n10, all_4_28, n0, simplifying with (88),
% 261.43/67.02 | (237) gives:
% 261.43/67.02 | (243) all_4_28 = n10
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with all_4_31, all_4_28, n0, simplifying with
% 261.43/67.02 | (237), (238) gives:
% 261.43/67.02 | (244) all_4_28 = all_4_31
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (241), (242) imply:
% 261.43/67.02 | (245) all_4_30 = n1
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (243), (244) imply:
% 261.43/67.02 | (246) all_4_31 = n10
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (1), (241), (243) imply:
% 261.43/67.02 | (247) sum(n10, n1) = all_4_26
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (15), (243), (245) imply:
% 261.43/67.02 | (248) sum(n10, n1) = all_4_24
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (25), (241), (246) imply:
% 261.43/67.02 | (249) sum(n10, n1) = all_4_25
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (38), (245), (246) imply:
% 261.43/67.02 | (250) sum(n10, n1) = all_4_29
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_25, n1, n10, simplifying with
% 261.43/67.02 | (30), (249) gives:
% 261.43/67.02 | (251) all_4_25 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_26, all_4_25, n1, n10, simplifying
% 261.43/67.02 | with (247), (249) gives:
% 261.43/67.02 | (252) all_4_25 = all_4_26
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_25, all_4_24, n1, n10, simplifying
% 261.43/67.02 | with (248), (249) gives:
% 261.43/67.02 | (253) all_4_24 = all_4_25
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_29, all_4_24, n1, n10, simplifying
% 261.43/67.02 | with (248), (250) gives:
% 261.43/67.02 | (254) all_4_24 = all_4_29
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (253), (254) imply:
% 261.43/67.02 | (255) all_4_25 = all_4_29
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (255) implies:
% 261.43/67.02 | (256) all_4_25 = all_4_29
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (251), (252) imply:
% 261.43/67.02 | (257) all_4_26 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (252), (256) imply:
% 261.43/67.02 | (258) all_4_26 = all_4_29
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (257), (258) imply:
% 261.43/67.02 | (259) all_4_29 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (254), (259) imply:
% 261.43/67.02 | (260) all_4_24 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (5), (251), (260) imply:
% 261.43/67.02 | (261) sum(n0, n0) = all_4_86
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (43), (257), (259) imply:
% 261.43/67.02 | (262) sum(n0, n0) = all_4_87
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_86, n0, n0, simplifying with
% 261.43/67.02 | (90), (261) gives:
% 261.43/67.02 | (263) all_4_86 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_87, all_4_86, n0, n0, simplifying
% 261.43/67.02 | with (261), (262) gives:
% 261.43/67.02 | (264) all_4_86 = all_4_87
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (263), (264) imply:
% 261.43/67.02 | (265) all_4_87 = n0
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (265) implies:
% 261.43/67.02 | (266) all_4_87 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (32), (263) imply:
% 261.43/67.02 | (267) pred(n0) = all_4_20
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (67), (266) imply:
% 261.43/67.02 | (268) pred(n0) = all_4_23
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (31), (263) imply:
% 261.43/67.02 | (269) succ(n0) = all_4_22
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (4), (266) imply:
% 261.43/67.02 | (270) succ(n0) = all_4_19
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with n1, all_4_19, n0, simplifying with (37),
% 261.43/67.02 | (270) gives:
% 261.43/67.02 | (271) all_4_19 = n1
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with all_4_22, all_4_19, n0, simplifying with
% 261.43/67.02 | (269), (270) gives:
% 261.43/67.02 | (272) all_4_19 = all_4_22
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with n10, all_4_20, n0, simplifying with (88),
% 261.43/67.02 | (267) gives:
% 261.43/67.02 | (273) all_4_20 = n10
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with all_4_23, all_4_20, n0, simplifying with
% 261.43/67.02 | (267), (268) gives:
% 261.43/67.02 | (274) all_4_20 = all_4_23
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (271), (272) imply:
% 261.43/67.02 | (275) all_4_22 = n1
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (273), (274) imply:
% 261.43/67.02 | (276) all_4_23 = n10
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (16), (271), (273) imply:
% 261.43/67.02 | (277) sum(n10, n1) = all_4_18
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (53), (273), (275) imply:
% 261.43/67.02 | (278) sum(n10, n1) = all_4_16
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (10), (271), (276) imply:
% 261.43/67.02 | (279) sum(n10, n1) = all_4_17
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (23), (275), (276) imply:
% 261.43/67.02 | (280) sum(n10, n1) = all_4_21
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_17, n1, n10, simplifying with
% 261.43/67.02 | (30), (279) gives:
% 261.43/67.02 | (281) all_4_17 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_18, all_4_17, n1, n10, simplifying
% 261.43/67.02 | with (277), (279) gives:
% 261.43/67.02 | (282) all_4_17 = all_4_18
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_17, all_4_16, n1, n10, simplifying
% 261.43/67.02 | with (278), (279) gives:
% 261.43/67.02 | (283) all_4_16 = all_4_17
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_21, all_4_16, n1, n10, simplifying
% 261.43/67.02 | with (278), (280) gives:
% 261.43/67.02 | (284) all_4_16 = all_4_21
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (283), (284) imply:
% 261.43/67.02 | (285) all_4_17 = all_4_21
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (285) implies:
% 261.43/67.02 | (286) all_4_17 = all_4_21
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (281), (282) imply:
% 261.43/67.02 | (287) all_4_18 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (282), (286) imply:
% 261.43/67.02 | (288) all_4_18 = all_4_21
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (287), (288) imply:
% 261.43/67.02 | (289) all_4_21 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (284), (289) imply:
% 261.43/67.02 | (290) all_4_16 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (73), (281), (290) imply:
% 261.43/67.02 | (291) sum(n0, n0) = all_4_84
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (7), (287), (289) imply:
% 261.43/67.02 | (292) sum(n0, n0) = all_4_85
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_84, n0, n0, simplifying with
% 261.43/67.02 | (90), (291) gives:
% 261.43/67.02 | (293) all_4_84 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_85, all_4_84, n0, n0, simplifying
% 261.43/67.02 | with (291), (292) gives:
% 261.43/67.02 | (294) all_4_84 = all_4_85
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (293), (294) imply:
% 261.43/67.02 | (295) all_4_85 = n0
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (295) implies:
% 261.43/67.02 | (296) all_4_85 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (79), (293) imply:
% 261.43/67.02 | (297) pred(n0) = all_4_12
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (35), (296) imply:
% 261.43/67.02 | (298) pred(n0) = all_4_15
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (2), (293) imply:
% 261.43/67.02 | (299) succ(n0) = all_4_14
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (82), (296) imply:
% 261.43/67.02 | (300) succ(n0) = all_4_11
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with n1, all_4_11, n0, simplifying with (37),
% 261.43/67.02 | (300) gives:
% 261.43/67.02 | (301) all_4_11 = n1
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (48) with all_4_14, all_4_11, n0, simplifying with
% 261.43/67.02 | (299), (300) gives:
% 261.43/67.02 | (302) all_4_11 = all_4_14
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with n10, all_4_12, n0, simplifying with (88),
% 261.43/67.02 | (297) gives:
% 261.43/67.02 | (303) all_4_12 = n10
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (84) with all_4_15, all_4_12, n0, simplifying with
% 261.43/67.02 | (297), (298) gives:
% 261.43/67.02 | (304) all_4_12 = all_4_15
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (301), (302) imply:
% 261.43/67.02 | (305) all_4_14 = n1
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (303), (304) imply:
% 261.43/67.02 | (306) all_4_15 = n10
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (54), (301), (303) imply:
% 261.43/67.02 | (307) sum(n10, n1) = all_4_10
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (42), (303), (305) imply:
% 261.43/67.02 | (308) sum(n10, n1) = all_4_8
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (58), (301), (306) imply:
% 261.43/67.02 | (309) sum(n10, n1) = all_4_9
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (36), (305), (306) imply:
% 261.43/67.02 | (310) sum(n10, n1) = all_4_13
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_9, n1, n10, simplifying with
% 261.43/67.02 | (30), (309) gives:
% 261.43/67.02 | (311) all_4_9 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_10, all_4_9, n1, n10, simplifying
% 261.43/67.02 | with (307), (309) gives:
% 261.43/67.02 | (312) all_4_9 = all_4_10
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_9, all_4_8, n1, n10, simplifying
% 261.43/67.02 | with (308), (309) gives:
% 261.43/67.02 | (313) all_4_8 = all_4_9
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_13, all_4_8, n1, n10, simplifying
% 261.43/67.02 | with (308), (310) gives:
% 261.43/67.02 | (314) all_4_8 = all_4_13
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (313), (314) imply:
% 261.43/67.02 | (315) all_4_9 = all_4_13
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (315) implies:
% 261.43/67.02 | (316) all_4_9 = all_4_13
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (311), (312) imply:
% 261.43/67.02 | (317) all_4_10 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (312), (316) imply:
% 261.43/67.02 | (318) all_4_10 = all_4_13
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (317), (318) imply:
% 261.43/67.02 | (319) all_4_13 = n0
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (314), (319) imply:
% 261.43/67.02 | (320) all_4_8 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (18), (311), (320) imply:
% 261.43/67.02 | (321) sum(n0, n0) = all_4_82
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (74), (317), (319) imply:
% 261.43/67.02 | (322) sum(n0, n0) = all_4_83
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with n0, all_4_82, n0, n0, simplifying with
% 261.43/67.02 | (90), (321) gives:
% 261.43/67.02 | (323) all_4_82 = n0
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (66) with all_4_83, all_4_82, n0, n0, simplifying
% 261.43/67.02 | with (321), (322) gives:
% 261.43/67.02 | (324) all_4_82 = all_4_83
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (323), (324) imply:
% 261.43/67.02 | (325) all_4_83 = n0
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (325) implies:
% 261.43/67.02 | (326) all_4_83 = n0
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (11), (323), (326) imply:
% 261.43/67.02 | (327) $false
% 261.43/67.02 |
% 261.43/67.02 | CLOSE: (327) is inconsistent.
% 261.43/67.02 |
% 261.43/67.02 End of proof
% 261.43/67.02
% 261.43/67.02 Sub-proof #184 shows that the following formulas are inconsistent:
% 261.43/67.02 ----------------------------------------------------------------
% 261.43/67.02 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.43/67.02 (2) succ(all_4_84) = all_4_14
% 261.43/67.02 (3) succ(all_4_95) = all_4_51
% 261.43/67.02 (4) succ(all_4_87) = all_4_19
% 261.43/67.02 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.43/67.02 (6) succ(all_4_91) = all_4_35
% 261.43/67.02 (7) sum(all_4_21, all_4_18) = all_4_85
% 261.43/67.02 (8) succ(all_4_92) = all_4_46
% 261.43/67.02 (9) sum(all_4_23, all_4_19) = all_4_17
% 261.43/67.02 (10) ~ (all_4_82 = all_4_83)
% 261.43/67.02 (11) succ(all_4_89) = all_4_27
% 261.43/67.02 (12) pred(all_4_95) = all_4_55
% 261.43/67.02 (13) sum(all_4_44, all_4_46) = all_4_40
% 261.43/67.02 (14) sum(all_4_28, all_4_30) = all_4_24
% 261.43/67.02 (15) sum(all_4_20, all_4_19) = all_4_18
% 261.43/67.02 (16) sum(n9, n0) = n9
% 261.43/67.02 (17) sum(all_4_9, all_4_8) = all_4_82
% 261.43/67.02 (18) sum(all_4_52, all_4_54) = all_4_48
% 261.43/67.02 (19) sum(n3, n3) = n6
% 261.43/67.02 (20) sum(all_4_60, all_4_62) = all_4_56
% 261.43/67.02 (21) sum(all_4_71, all_4_70) = all_4_69
% 261.43/67.02 (22) sum(all_4_55, all_4_54) = all_4_53
% 261.43/67.02 (23) sum(all_4_23, all_4_22) = all_4_21
% 261.43/67.02 (24) sum(all_4_63, all_4_59) = all_4_57
% 261.43/67.02 (25) sum(all_4_31, all_4_27) = all_4_25
% 261.43/67.02 (26) sum(all_4_63, all_4_62) = all_4_61
% 261.43/67.02 (27) succ(all_4_94) = all_4_54
% 261.43/67.02 (28) sum(all_4_37, all_4_34) = all_4_89
% 261.43/67.02 (29) succ(all_4_86) = all_4_22
% 261.43/67.02 (30) pred(n8) = n7
% 261.43/67.02 (31) pred(all_4_99) = all_4_71
% 261.43/67.02 (32) pred(all_4_86) = all_4_20
% 261.43/67.02 (33) succ(all_4_90) = all_4_38
% 261.43/67.02 (34) sum(n6, n8) = n3
% 261.43/67.02 (35) pred(all_4_88) = all_4_28
% 261.43/67.02 (36) pred(all_4_85) = all_4_15
% 261.43/67.02 (37) sum(all_4_15, all_4_14) = all_4_13
% 261.43/67.02 (38) sum(all_4_31, all_4_30) = all_4_29
% 261.43/67.02 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.43/67.02 (40) sum(all_4_33, all_4_32) = all_4_88
% 261.43/67.02 (41) sum(all_4_47, all_4_43) = all_4_41
% 261.43/67.02 (42) sum(all_4_12, all_4_14) = all_4_8
% 261.43/67.02 (43) sum(all_4_29, all_4_26) = all_4_87
% 261.43/67.02 (44) pred(all_4_91) = all_4_39
% 261.43/67.02 (45) pred(all_4_89) = all_4_31
% 261.43/67.02 (46) pred(all_4_92) = all_4_44
% 261.43/67.02 (47) sum(n5, n7) = n1
% 261.43/67.02 (48) sum(all_4_65, all_4_64) = all_4_96
% 261.43/67.02 (49) succ(n10) = n0
% 261.43/67.02 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.43/67.02 | ~ (succ(v2) = v0))
% 261.43/67.02 (51) pred(all_4_97) = all_4_63
% 261.43/67.02 (52) succ(all_4_99) = all_4_67
% 261.43/67.02 (53) pred(n6) = n5
% 261.43/67.02 (54) pred(all_4_96) = all_4_60
% 261.43/67.02 (55) succ(all_4_96) = all_4_62
% 261.43/67.02 (56) succ(all_4_88) = all_4_30
% 261.43/67.02 (57) all_4_98 = n2
% 261.43/67.02 (58) sum(all_4_20, all_4_22) = all_4_16
% 261.43/67.02 (59) sum(all_4_12, all_4_11) = all_4_10
% 261.43/67.02 (60) sum(all_4_55, all_4_51) = all_4_49
% 261.43/67.02 (61) pred(n7) = n6
% 261.43/67.02 (62) sum(all_4_36, all_4_35) = all_4_34
% 261.43/67.02 (63) succ(n7) = n8
% 261.43/67.02 (64) sum(all_4_15, all_4_11) = all_4_9
% 261.43/67.02 (65) sum(all_4_47, all_4_46) = all_4_45
% 261.43/67.02 (66) pred(all_4_93) = all_4_47
% 261.43/67.02 (67) sum(all_4_71, all_4_67) = all_4_65
% 261.43/67.02 (68) sum(all_4_60, all_4_59) = all_4_58
% 261.43/67.02 (69) sum(n5, n5) = n10
% 261.43/67.02 (70) sum(all_4_41, all_4_40) = all_4_90
% 261.43/67.02 (71) succ(n2) = n3
% 261.43/67.02 (72) sum(all_4_68, all_4_67) = all_4_66
% 261.43/67.02 (73) succ(n6) = n7
% 261.43/67.02 (74) succ(n8) = n9
% 261.43/67.02 (75) sum(all_4_39, all_4_35) = all_4_33
% 261.43/67.02 (76) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.43/67.02 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.43/67.02 (77) pred(all_4_87) = all_4_23
% 261.43/67.02 (78) sum(all_4_45, all_4_42) = all_4_91
% 261.43/67.02 (79) sum(n9, n9) = n7
% 261.43/67.02 (80) sum(all_4_39, all_4_38) = all_4_37
% 261.43/67.02 (81) sum(all_4_44, all_4_43) = all_4_42
% 261.43/67.02 (82) sum(n1, n1) = all_4_99
% 261.43/67.02 (83) pred(n10) = n9
% 261.43/67.02 (84) sum(all_4_69, all_4_66) = all_4_97
% 261.43/67.02 (85) sum(n7, n9) = n5
% 261.43/67.02 (86) sum(all_4_17, all_4_16) = all_4_84
% 261.43/67.02 (87) sum(all_4_13, all_4_10) = all_4_83
% 261.43/67.02 (88) all_4_99 = n2
% 261.43/67.02 (89) pred(n2) = n1
% 261.43/67.02 (90) succ(all_4_98) = all_4_70
% 261.43/67.02 (91) pred(all_4_90) = all_4_36
% 261.43/67.02 (92) sum(n4, n4) = n8
% 261.43/67.02 (93) sum(all_4_68, all_4_70) = all_4_64
% 261.43/67.02 (94) succ(all_4_97) = all_4_59
% 261.43/67.02 (95) sum(all_4_36, all_4_38) = all_4_32
% 261.43/67.02 (96) pred(all_4_84) = all_4_12
% 261.43/67.02 (97) sum(all_4_61, all_4_58) = all_4_95
% 261.43/67.02 (98) succ(all_4_85) = all_4_11
% 261.43/67.02 (99) sum(all_4_49, all_4_48) = all_4_92
% 261.43/67.02 (100) sum(n1, n3) = n4
% 261.43/67.02 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.43/67.02 | ~ (pred(v2) = v0))
% 261.43/67.02 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.43/67.02 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.43/67.02 (104) succ(all_4_93) = all_4_43
% 261.43/67.02 (105) pred(all_4_98) = all_4_68
% 261.43/67.02 (106) pred(all_4_94) = all_4_52
% 261.43/67.02
% 261.43/67.02 Begin of proof
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (57), (105) imply:
% 261.43/67.02 | (107) pred(n2) = all_4_68
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (31), (88) imply:
% 261.43/67.02 | (108) pred(n2) = all_4_71
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (57), (90) imply:
% 261.43/67.02 | (109) succ(n2) = all_4_70
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (52), (88) imply:
% 261.43/67.02 | (110) succ(n2) = all_4_67
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (82), (88) imply:
% 261.43/67.02 | (111) sum(n1, n1) = n2
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (50) with n3, all_4_67, n2, simplifying with (71),
% 261.43/67.02 | (110) gives:
% 261.43/67.02 | (112) all_4_67 = n3
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (50) with all_4_70, all_4_67, n2, simplifying with
% 261.43/67.02 | (109), (110) gives:
% 261.43/67.02 | (113) all_4_67 = all_4_70
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (101) with n1, all_4_68, n2, simplifying with (89),
% 261.43/67.02 | (107) gives:
% 261.43/67.02 | (114) all_4_68 = n1
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (101) with all_4_71, all_4_68, n2, simplifying with
% 261.43/67.02 | (107), (108) gives:
% 261.43/67.02 | (115) all_4_68 = all_4_71
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (112), (113) imply:
% 261.43/67.02 | (116) all_4_70 = n3
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (114), (115) imply:
% 261.43/67.02 | (117) all_4_71 = n1
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (72), (112), (114) imply:
% 261.43/67.02 | (118) sum(n1, n3) = all_4_66
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (93), (114), (116) imply:
% 261.43/67.02 | (119) sum(n1, n3) = all_4_64
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (67), (112), (117) imply:
% 261.43/67.02 | (120) sum(n1, n3) = all_4_65
% 261.43/67.02 |
% 261.43/67.02 | REDUCE: (21), (116), (117) imply:
% 261.43/67.02 | (121) sum(n1, n3) = all_4_69
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (76) with n4, all_4_65, n3, n1, simplifying with
% 261.43/67.02 | (100), (120) gives:
% 261.43/67.02 | (122) all_4_65 = n4
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (76) with all_4_66, all_4_65, n3, n1, simplifying
% 261.43/67.02 | with (118), (120) gives:
% 261.43/67.02 | (123) all_4_65 = all_4_66
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (76) with all_4_66, all_4_64, n3, n1, simplifying
% 261.43/67.02 | with (118), (119) gives:
% 261.43/67.02 | (124) all_4_64 = all_4_66
% 261.43/67.02 |
% 261.43/67.02 | GROUND_INST: instantiating (76) with all_4_69, all_4_64, n3, n1, simplifying
% 261.43/67.02 | with (119), (121) gives:
% 261.43/67.02 | (125) all_4_64 = all_4_69
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (124), (125) imply:
% 261.43/67.02 | (126) all_4_66 = all_4_69
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (126) implies:
% 261.43/67.02 | (127) all_4_66 = all_4_69
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (122), (123) imply:
% 261.43/67.02 | (128) all_4_66 = n4
% 261.43/67.02 |
% 261.43/67.02 | SIMP: (128) implies:
% 261.43/67.02 | (129) all_4_66 = n4
% 261.43/67.02 |
% 261.43/67.02 | COMBINE_EQS: (127), (129) imply:
% 261.43/67.03 | (130) all_4_69 = n4
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (125), (130) imply:
% 261.43/67.03 | (131) all_4_64 = n4
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (48), (122), (131) imply:
% 261.43/67.03 | (132) sum(n4, n4) = all_4_96
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (84), (129), (130) imply:
% 261.43/67.03 | (133) sum(n4, n4) = all_4_97
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with n8, all_4_96, n4, n4, simplifying with
% 261.43/67.03 | (92), (132) gives:
% 261.43/67.03 | (134) all_4_96 = n8
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_97, all_4_96, n4, n4, simplifying
% 261.43/67.03 | with (132), (133) gives:
% 261.43/67.03 | (135) all_4_96 = all_4_97
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (134), (135) imply:
% 261.43/67.03 | (136) all_4_97 = n8
% 261.43/67.03 |
% 261.43/67.03 | SIMP: (136) implies:
% 261.43/67.03 | (137) all_4_97 = n8
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (54), (134) imply:
% 261.43/67.03 | (138) pred(n8) = all_4_60
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (51), (137) imply:
% 261.43/67.03 | (139) pred(n8) = all_4_63
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (55), (134) imply:
% 261.43/67.03 | (140) succ(n8) = all_4_62
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (94), (137) imply:
% 261.43/67.03 | (141) succ(n8) = all_4_59
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (50) with n9, all_4_59, n8, simplifying with (74),
% 261.43/67.03 | (141) gives:
% 261.43/67.03 | (142) all_4_59 = n9
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (50) with all_4_62, all_4_59, n8, simplifying with
% 261.43/67.03 | (140), (141) gives:
% 261.43/67.03 | (143) all_4_59 = all_4_62
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (101) with n7, all_4_60, n8, simplifying with (30),
% 261.43/67.03 | (138) gives:
% 261.43/67.03 | (144) all_4_60 = n7
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (101) with all_4_63, all_4_60, n8, simplifying with
% 261.43/67.03 | (138), (139) gives:
% 261.43/67.03 | (145) all_4_60 = all_4_63
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (142), (143) imply:
% 261.43/67.03 | (146) all_4_62 = n9
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (144), (145) imply:
% 261.43/67.03 | (147) all_4_63 = n7
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (68), (142), (144) imply:
% 261.43/67.03 | (148) sum(n7, n9) = all_4_58
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (20), (144), (146) imply:
% 261.43/67.03 | (149) sum(n7, n9) = all_4_56
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (24), (142), (147) imply:
% 261.43/67.03 | (150) sum(n7, n9) = all_4_57
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (26), (146), (147) imply:
% 261.43/67.03 | (151) sum(n7, n9) = all_4_61
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with n5, all_4_57, n9, n7, simplifying with
% 261.43/67.03 | (85), (150) gives:
% 261.43/67.03 | (152) all_4_57 = n5
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_58, all_4_57, n9, n7, simplifying
% 261.43/67.03 | with (148), (150) gives:
% 261.43/67.03 | (153) all_4_57 = all_4_58
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_57, all_4_56, n9, n7, simplifying
% 261.43/67.03 | with (149), (150) gives:
% 261.43/67.03 | (154) all_4_56 = all_4_57
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_61, all_4_56, n9, n7, simplifying
% 261.43/67.03 | with (149), (151) gives:
% 261.43/67.03 | (155) all_4_56 = all_4_61
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (154), (155) imply:
% 261.43/67.03 | (156) all_4_57 = all_4_61
% 261.43/67.03 |
% 261.43/67.03 | SIMP: (156) implies:
% 261.43/67.03 | (157) all_4_57 = all_4_61
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (152), (153) imply:
% 261.43/67.03 | (158) all_4_58 = n5
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (153), (157) imply:
% 261.43/67.03 | (159) all_4_58 = all_4_61
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (158), (159) imply:
% 261.43/67.03 | (160) all_4_61 = n5
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (155), (160) imply:
% 261.43/67.03 | (161) all_4_56 = n5
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (39), (152), (161) imply:
% 261.43/67.03 | (162) sum(n5, n5) = all_4_94
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (97), (158), (160) imply:
% 261.43/67.03 | (163) sum(n5, n5) = all_4_95
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with n10, all_4_94, n5, n5, simplifying with
% 261.43/67.03 | (69), (162) gives:
% 261.43/67.03 | (164) all_4_94 = n10
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_95, all_4_94, n5, n5, simplifying
% 261.43/67.03 | with (162), (163) gives:
% 261.43/67.03 | (165) all_4_94 = all_4_95
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (164), (165) imply:
% 261.43/67.03 | (166) all_4_95 = n10
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (106), (164) imply:
% 261.43/67.03 | (167) pred(n10) = all_4_52
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (12), (166) imply:
% 261.43/67.03 | (168) pred(n10) = all_4_55
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (27), (164) imply:
% 261.43/67.03 | (169) succ(n10) = all_4_54
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (3), (166) imply:
% 261.43/67.03 | (170) succ(n10) = all_4_51
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (50) with n0, all_4_51, n10, simplifying with (49),
% 261.43/67.03 | (170) gives:
% 261.43/67.03 | (171) all_4_51 = n0
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (50) with all_4_54, all_4_51, n10, simplifying with
% 261.43/67.03 | (169), (170) gives:
% 261.43/67.03 | (172) all_4_51 = all_4_54
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (101) with n9, all_4_52, n10, simplifying with
% 261.43/67.03 | (83), (167) gives:
% 261.43/67.03 | (173) all_4_52 = n9
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (101) with all_4_55, all_4_52, n10, simplifying
% 261.43/67.03 | with (167), (168) gives:
% 261.43/67.03 | (174) all_4_52 = all_4_55
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (171), (172) imply:
% 261.43/67.03 | (175) all_4_54 = n0
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (173), (174) imply:
% 261.43/67.03 | (176) all_4_55 = n9
% 261.43/67.03 |
% 261.43/67.03 | SIMP: (176) implies:
% 261.43/67.03 | (177) all_4_55 = n9
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (102), (171), (173) imply:
% 261.43/67.03 | (178) sum(n9, n0) = all_4_50
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (18), (173), (175) imply:
% 261.43/67.03 | (179) sum(n9, n0) = all_4_48
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (60), (171), (177) imply:
% 261.43/67.03 | (180) sum(n9, n0) = all_4_49
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (22), (175), (177) imply:
% 261.43/67.03 | (181) sum(n9, n0) = all_4_53
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with n9, all_4_49, n0, n9, simplifying with
% 261.43/67.03 | (16), (180) gives:
% 261.43/67.03 | (182) all_4_49 = n9
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_50, all_4_49, n0, n9, simplifying
% 261.43/67.03 | with (178), (180) gives:
% 261.43/67.03 | (183) all_4_49 = all_4_50
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_49, all_4_48, n0, n9, simplifying
% 261.43/67.03 | with (179), (180) gives:
% 261.43/67.03 | (184) all_4_48 = all_4_49
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_53, all_4_48, n0, n9, simplifying
% 261.43/67.03 | with (179), (181) gives:
% 261.43/67.03 | (185) all_4_48 = all_4_53
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (184), (185) imply:
% 261.43/67.03 | (186) all_4_49 = all_4_53
% 261.43/67.03 |
% 261.43/67.03 | SIMP: (186) implies:
% 261.43/67.03 | (187) all_4_49 = all_4_53
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (182), (183) imply:
% 261.43/67.03 | (188) all_4_50 = n9
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (183), (187) imply:
% 261.43/67.03 | (189) all_4_50 = all_4_53
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (188), (189) imply:
% 261.43/67.03 | (190) all_4_53 = n9
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (185), (190) imply:
% 261.43/67.03 | (191) all_4_48 = n9
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (99), (182), (191) imply:
% 261.43/67.03 | (192) sum(n9, n9) = all_4_92
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (103), (188), (190) imply:
% 261.43/67.03 | (193) sum(n9, n9) = all_4_93
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with n7, all_4_92, n9, n9, simplifying with
% 261.43/67.03 | (79), (192) gives:
% 261.43/67.03 | (194) all_4_92 = n7
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_93, all_4_92, n9, n9, simplifying
% 261.43/67.03 | with (192), (193) gives:
% 261.43/67.03 | (195) all_4_92 = all_4_93
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (194), (195) imply:
% 261.43/67.03 | (196) all_4_93 = n7
% 261.43/67.03 |
% 261.43/67.03 | SIMP: (196) implies:
% 261.43/67.03 | (197) all_4_93 = n7
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (46), (194) imply:
% 261.43/67.03 | (198) pred(n7) = all_4_44
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (66), (197) imply:
% 261.43/67.03 | (199) pred(n7) = all_4_47
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (8), (194) imply:
% 261.43/67.03 | (200) succ(n7) = all_4_46
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (104), (197) imply:
% 261.43/67.03 | (201) succ(n7) = all_4_43
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (50) with n8, all_4_43, n7, simplifying with (63),
% 261.43/67.03 | (201) gives:
% 261.43/67.03 | (202) all_4_43 = n8
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (50) with all_4_46, all_4_43, n7, simplifying with
% 261.43/67.03 | (200), (201) gives:
% 261.43/67.03 | (203) all_4_43 = all_4_46
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (101) with n6, all_4_44, n7, simplifying with (61),
% 261.43/67.03 | (198) gives:
% 261.43/67.03 | (204) all_4_44 = n6
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (101) with all_4_47, all_4_44, n7, simplifying with
% 261.43/67.03 | (198), (199) gives:
% 261.43/67.03 | (205) all_4_44 = all_4_47
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (202), (203) imply:
% 261.43/67.03 | (206) all_4_46 = n8
% 261.43/67.03 |
% 261.43/67.03 | COMBINE_EQS: (204), (205) imply:
% 261.43/67.03 | (207) all_4_47 = n6
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (81), (202), (204) imply:
% 261.43/67.03 | (208) sum(n6, n8) = all_4_42
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (13), (204), (206) imply:
% 261.43/67.03 | (209) sum(n6, n8) = all_4_40
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (41), (202), (207) imply:
% 261.43/67.03 | (210) sum(n6, n8) = all_4_41
% 261.43/67.03 |
% 261.43/67.03 | REDUCE: (65), (206), (207) imply:
% 261.43/67.03 | (211) sum(n6, n8) = all_4_45
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with n3, all_4_41, n8, n6, simplifying with
% 261.43/67.03 | (34), (210) gives:
% 261.43/67.03 | (212) all_4_41 = n3
% 261.43/67.03 |
% 261.43/67.03 | GROUND_INST: instantiating (76) with all_4_42, all_4_41, n8, n6, simplifying
% 261.43/67.03 | with (208), (210) gives:
% 261.43/67.03 | (213) all_4_41 = all_4_42
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_41, all_4_40, n8, n6, simplifying
% 261.49/67.03 | with (209), (210) gives:
% 261.49/67.03 | (214) all_4_40 = all_4_41
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_45, all_4_40, n8, n6, simplifying
% 261.49/67.03 | with (209), (211) gives:
% 261.49/67.03 | (215) all_4_40 = all_4_45
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (214), (215) imply:
% 261.49/67.03 | (216) all_4_41 = all_4_45
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (216) implies:
% 261.49/67.03 | (217) all_4_41 = all_4_45
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (212), (213) imply:
% 261.49/67.03 | (218) all_4_42 = n3
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (213), (217) imply:
% 261.49/67.03 | (219) all_4_42 = all_4_45
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (218), (219) imply:
% 261.49/67.03 | (220) all_4_45 = n3
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (220) implies:
% 261.49/67.03 | (221) all_4_45 = n3
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (215), (221) imply:
% 261.49/67.03 | (222) all_4_40 = n3
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (70), (212), (222) imply:
% 261.49/67.03 | (223) sum(n3, n3) = all_4_90
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (78), (218), (221) imply:
% 261.49/67.03 | (224) sum(n3, n3) = all_4_91
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n6, all_4_90, n3, n3, simplifying with
% 261.49/67.03 | (19), (223) gives:
% 261.49/67.03 | (225) all_4_90 = n6
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_91, all_4_90, n3, n3, simplifying
% 261.49/67.03 | with (223), (224) gives:
% 261.49/67.03 | (226) all_4_90 = all_4_91
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (225), (226) imply:
% 261.49/67.03 | (227) all_4_91 = n6
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (227) implies:
% 261.49/67.03 | (228) all_4_91 = n6
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (91), (225) imply:
% 261.49/67.03 | (229) pred(n6) = all_4_36
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (44), (228) imply:
% 261.49/67.03 | (230) pred(n6) = all_4_39
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (33), (225) imply:
% 261.49/67.03 | (231) succ(n6) = all_4_38
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (6), (228) imply:
% 261.49/67.03 | (232) succ(n6) = all_4_35
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with n7, all_4_35, n6, simplifying with (73),
% 261.49/67.03 | (232) gives:
% 261.49/67.03 | (233) all_4_35 = n7
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with all_4_38, all_4_35, n6, simplifying with
% 261.49/67.03 | (231), (232) gives:
% 261.49/67.03 | (234) all_4_35 = all_4_38
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with n5, all_4_36, n6, simplifying with (53),
% 261.49/67.03 | (229) gives:
% 261.49/67.03 | (235) all_4_36 = n5
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with all_4_39, all_4_36, n6, simplifying with
% 261.49/67.03 | (229), (230) gives:
% 261.49/67.03 | (236) all_4_36 = all_4_39
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (233), (234) imply:
% 261.49/67.03 | (237) all_4_38 = n7
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (235), (236) imply:
% 261.49/67.03 | (238) all_4_39 = n5
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (62), (233), (235) imply:
% 261.49/67.03 | (239) sum(n5, n7) = all_4_34
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (95), (235), (237) imply:
% 261.49/67.03 | (240) sum(n5, n7) = all_4_32
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (75), (233), (238) imply:
% 261.49/67.03 | (241) sum(n5, n7) = all_4_33
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (80), (237), (238) imply:
% 261.49/67.03 | (242) sum(n5, n7) = all_4_37
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n1, all_4_33, n7, n5, simplifying with
% 261.49/67.03 | (47), (241) gives:
% 261.49/67.03 | (243) all_4_33 = n1
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_34, all_4_33, n7, n5, simplifying
% 261.49/67.03 | with (239), (241) gives:
% 261.49/67.03 | (244) all_4_33 = all_4_34
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_33, all_4_32, n7, n5, simplifying
% 261.49/67.03 | with (240), (241) gives:
% 261.49/67.03 | (245) all_4_32 = all_4_33
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_37, all_4_32, n7, n5, simplifying
% 261.49/67.03 | with (240), (242) gives:
% 261.49/67.03 | (246) all_4_32 = all_4_37
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (245), (246) imply:
% 261.49/67.03 | (247) all_4_33 = all_4_37
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (247) implies:
% 261.49/67.03 | (248) all_4_33 = all_4_37
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (243), (244) imply:
% 261.49/67.03 | (249) all_4_34 = n1
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (244), (248) imply:
% 261.49/67.03 | (250) all_4_34 = all_4_37
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (249), (250) imply:
% 261.49/67.03 | (251) all_4_37 = n1
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (246), (251) imply:
% 261.49/67.03 | (252) all_4_32 = n1
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (40), (243), (252) imply:
% 261.49/67.03 | (253) sum(n1, n1) = all_4_88
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (28), (249), (251) imply:
% 261.49/67.03 | (254) sum(n1, n1) = all_4_89
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n2, all_4_88, n1, n1, simplifying with
% 261.49/67.03 | (111), (253) gives:
% 261.49/67.03 | (255) all_4_88 = n2
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_89, all_4_88, n1, n1, simplifying
% 261.49/67.03 | with (253), (254) gives:
% 261.49/67.03 | (256) all_4_88 = all_4_89
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (255), (256) imply:
% 261.49/67.03 | (257) all_4_89 = n2
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (35), (255) imply:
% 261.49/67.03 | (258) pred(n2) = all_4_28
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (45), (257) imply:
% 261.49/67.03 | (259) pred(n2) = all_4_31
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (56), (255) imply:
% 261.49/67.03 | (260) succ(n2) = all_4_30
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (11), (257) imply:
% 261.49/67.03 | (261) succ(n2) = all_4_27
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with n3, all_4_27, n2, simplifying with (71),
% 261.49/67.03 | (261) gives:
% 261.49/67.03 | (262) all_4_27 = n3
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with all_4_30, all_4_27, n2, simplifying with
% 261.49/67.03 | (260), (261) gives:
% 261.49/67.03 | (263) all_4_27 = all_4_30
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with n1, all_4_28, n2, simplifying with (89),
% 261.49/67.03 | (258) gives:
% 261.49/67.03 | (264) all_4_28 = n1
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with all_4_31, all_4_28, n2, simplifying with
% 261.49/67.03 | (258), (259) gives:
% 261.49/67.03 | (265) all_4_28 = all_4_31
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (262), (263) imply:
% 261.49/67.03 | (266) all_4_30 = n3
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (264), (265) imply:
% 261.49/67.03 | (267) all_4_31 = n1
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (1), (262), (264) imply:
% 261.49/67.03 | (268) sum(n1, n3) = all_4_26
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (14), (264), (266) imply:
% 261.49/67.03 | (269) sum(n1, n3) = all_4_24
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (25), (262), (267) imply:
% 261.49/67.03 | (270) sum(n1, n3) = all_4_25
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (38), (266), (267) imply:
% 261.49/67.03 | (271) sum(n1, n3) = all_4_29
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n4, all_4_25, n3, n1, simplifying with
% 261.49/67.03 | (100), (270) gives:
% 261.49/67.03 | (272) all_4_25 = n4
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_26, all_4_25, n3, n1, simplifying
% 261.49/67.03 | with (268), (270) gives:
% 261.49/67.03 | (273) all_4_25 = all_4_26
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_25, all_4_24, n3, n1, simplifying
% 261.49/67.03 | with (269), (270) gives:
% 261.49/67.03 | (274) all_4_24 = all_4_25
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_29, all_4_24, n3, n1, simplifying
% 261.49/67.03 | with (269), (271) gives:
% 261.49/67.03 | (275) all_4_24 = all_4_29
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (274), (275) imply:
% 261.49/67.03 | (276) all_4_25 = all_4_29
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (276) implies:
% 261.49/67.03 | (277) all_4_25 = all_4_29
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (272), (273) imply:
% 261.49/67.03 | (278) all_4_26 = n4
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (273), (277) imply:
% 261.49/67.03 | (279) all_4_26 = all_4_29
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (278), (279) imply:
% 261.49/67.03 | (280) all_4_29 = n4
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (275), (280) imply:
% 261.49/67.03 | (281) all_4_24 = n4
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (5), (272), (281) imply:
% 261.49/67.03 | (282) sum(n4, n4) = all_4_86
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (43), (278), (280) imply:
% 261.49/67.03 | (283) sum(n4, n4) = all_4_87
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n8, all_4_86, n4, n4, simplifying with
% 261.49/67.03 | (92), (282) gives:
% 261.49/67.03 | (284) all_4_86 = n8
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_87, all_4_86, n4, n4, simplifying
% 261.49/67.03 | with (282), (283) gives:
% 261.49/67.03 | (285) all_4_86 = all_4_87
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (284), (285) imply:
% 261.49/67.03 | (286) all_4_87 = n8
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (286) implies:
% 261.49/67.03 | (287) all_4_87 = n8
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (32), (284) imply:
% 261.49/67.03 | (288) pred(n8) = all_4_20
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (77), (287) imply:
% 261.49/67.03 | (289) pred(n8) = all_4_23
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (29), (284) imply:
% 261.49/67.03 | (290) succ(n8) = all_4_22
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (4), (287) imply:
% 261.49/67.03 | (291) succ(n8) = all_4_19
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with n9, all_4_19, n8, simplifying with (74),
% 261.49/67.03 | (291) gives:
% 261.49/67.03 | (292) all_4_19 = n9
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with all_4_22, all_4_19, n8, simplifying with
% 261.49/67.03 | (290), (291) gives:
% 261.49/67.03 | (293) all_4_19 = all_4_22
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with n7, all_4_20, n8, simplifying with (30),
% 261.49/67.03 | (288) gives:
% 261.49/67.03 | (294) all_4_20 = n7
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with all_4_23, all_4_20, n8, simplifying with
% 261.49/67.03 | (288), (289) gives:
% 261.49/67.03 | (295) all_4_20 = all_4_23
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (292), (293) imply:
% 261.49/67.03 | (296) all_4_22 = n9
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (294), (295) imply:
% 261.49/67.03 | (297) all_4_23 = n7
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (15), (292), (294) imply:
% 261.49/67.03 | (298) sum(n7, n9) = all_4_18
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (58), (294), (296) imply:
% 261.49/67.03 | (299) sum(n7, n9) = all_4_16
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (9), (292), (297) imply:
% 261.49/67.03 | (300) sum(n7, n9) = all_4_17
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (23), (296), (297) imply:
% 261.49/67.03 | (301) sum(n7, n9) = all_4_21
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n5, all_4_17, n9, n7, simplifying with
% 261.49/67.03 | (85), (300) gives:
% 261.49/67.03 | (302) all_4_17 = n5
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_18, all_4_17, n9, n7, simplifying
% 261.49/67.03 | with (298), (300) gives:
% 261.49/67.03 | (303) all_4_17 = all_4_18
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_17, all_4_16, n9, n7, simplifying
% 261.49/67.03 | with (299), (300) gives:
% 261.49/67.03 | (304) all_4_16 = all_4_17
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_21, all_4_16, n9, n7, simplifying
% 261.49/67.03 | with (299), (301) gives:
% 261.49/67.03 | (305) all_4_16 = all_4_21
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (304), (305) imply:
% 261.49/67.03 | (306) all_4_17 = all_4_21
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (306) implies:
% 261.49/67.03 | (307) all_4_17 = all_4_21
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (302), (303) imply:
% 261.49/67.03 | (308) all_4_18 = n5
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (303), (307) imply:
% 261.49/67.03 | (309) all_4_18 = all_4_21
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (308), (309) imply:
% 261.49/67.03 | (310) all_4_21 = n5
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (305), (310) imply:
% 261.49/67.03 | (311) all_4_16 = n5
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (86), (302), (311) imply:
% 261.49/67.03 | (312) sum(n5, n5) = all_4_84
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (7), (308), (310) imply:
% 261.49/67.03 | (313) sum(n5, n5) = all_4_85
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n10, all_4_84, n5, n5, simplifying with
% 261.49/67.03 | (69), (312) gives:
% 261.49/67.03 | (314) all_4_84 = n10
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_85, all_4_84, n5, n5, simplifying
% 261.49/67.03 | with (312), (313) gives:
% 261.49/67.03 | (315) all_4_84 = all_4_85
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (314), (315) imply:
% 261.49/67.03 | (316) all_4_85 = n10
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (316) implies:
% 261.49/67.03 | (317) all_4_85 = n10
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (96), (314) imply:
% 261.49/67.03 | (318) pred(n10) = all_4_12
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (36), (317) imply:
% 261.49/67.03 | (319) pred(n10) = all_4_15
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (2), (314) imply:
% 261.49/67.03 | (320) succ(n10) = all_4_14
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (98), (317) imply:
% 261.49/67.03 | (321) succ(n10) = all_4_11
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with n0, all_4_11, n10, simplifying with (49),
% 261.49/67.03 | (321) gives:
% 261.49/67.03 | (322) all_4_11 = n0
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (50) with all_4_14, all_4_11, n10, simplifying with
% 261.49/67.03 | (320), (321) gives:
% 261.49/67.03 | (323) all_4_11 = all_4_14
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with n9, all_4_12, n10, simplifying with
% 261.49/67.03 | (83), (318) gives:
% 261.49/67.03 | (324) all_4_12 = n9
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (101) with all_4_15, all_4_12, n10, simplifying
% 261.49/67.03 | with (318), (319) gives:
% 261.49/67.03 | (325) all_4_12 = all_4_15
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (322), (323) imply:
% 261.49/67.03 | (326) all_4_14 = n0
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (324), (325) imply:
% 261.49/67.03 | (327) all_4_15 = n9
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (59), (322), (324) imply:
% 261.49/67.03 | (328) sum(n9, n0) = all_4_10
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (42), (324), (326) imply:
% 261.49/67.03 | (329) sum(n9, n0) = all_4_8
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (64), (322), (327) imply:
% 261.49/67.03 | (330) sum(n9, n0) = all_4_9
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (37), (326), (327) imply:
% 261.49/67.03 | (331) sum(n9, n0) = all_4_13
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n9, all_4_9, n0, n9, simplifying with
% 261.49/67.03 | (16), (330) gives:
% 261.49/67.03 | (332) all_4_9 = n9
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_10, all_4_9, n0, n9, simplifying
% 261.49/67.03 | with (328), (330) gives:
% 261.49/67.03 | (333) all_4_9 = all_4_10
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_9, all_4_8, n0, n9, simplifying
% 261.49/67.03 | with (329), (330) gives:
% 261.49/67.03 | (334) all_4_8 = all_4_9
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_13, all_4_8, n0, n9, simplifying
% 261.49/67.03 | with (329), (331) gives:
% 261.49/67.03 | (335) all_4_8 = all_4_13
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (334), (335) imply:
% 261.49/67.03 | (336) all_4_9 = all_4_13
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (336) implies:
% 261.49/67.03 | (337) all_4_9 = all_4_13
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (332), (333) imply:
% 261.49/67.03 | (338) all_4_10 = n9
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (333), (337) imply:
% 261.49/67.03 | (339) all_4_10 = all_4_13
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (338), (339) imply:
% 261.49/67.03 | (340) all_4_13 = n9
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (335), (340) imply:
% 261.49/67.03 | (341) all_4_8 = n9
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (17), (332), (341) imply:
% 261.49/67.03 | (342) sum(n9, n9) = all_4_82
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (87), (338), (340) imply:
% 261.49/67.03 | (343) sum(n9, n9) = all_4_83
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with n7, all_4_82, n9, n9, simplifying with
% 261.49/67.03 | (79), (342) gives:
% 261.49/67.03 | (344) all_4_82 = n7
% 261.49/67.03 |
% 261.49/67.03 | GROUND_INST: instantiating (76) with all_4_83, all_4_82, n9, n9, simplifying
% 261.49/67.03 | with (342), (343) gives:
% 261.49/67.03 | (345) all_4_82 = all_4_83
% 261.49/67.03 |
% 261.49/67.03 | COMBINE_EQS: (344), (345) imply:
% 261.49/67.03 | (346) all_4_83 = n7
% 261.49/67.03 |
% 261.49/67.03 | SIMP: (346) implies:
% 261.49/67.03 | (347) all_4_83 = n7
% 261.49/67.03 |
% 261.49/67.03 | REDUCE: (10), (344), (347) imply:
% 261.49/67.03 | (348) $false
% 261.49/67.03 |
% 261.49/67.03 | CLOSE: (348) is inconsistent.
% 261.49/67.03 |
% 261.49/67.03 End of proof
% 261.49/67.03
% 261.49/67.03 Sub-proof #185 shows that the following formulas are inconsistent:
% 261.49/67.03 ----------------------------------------------------------------
% 261.49/67.03 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.49/67.03 (2) succ(all_4_84) = all_4_14
% 261.49/67.03 (3) succ(all_4_95) = all_4_51
% 261.49/67.03 (4) succ(all_4_87) = all_4_19
% 261.49/67.03 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.49/67.03 (6) succ(n1) = n2
% 261.49/67.03 (7) succ(all_4_91) = all_4_35
% 261.49/67.03 (8) sum(n4, n6) = n10
% 261.49/67.03 (9) sum(all_4_21, all_4_18) = all_4_85
% 261.49/67.03 (10) succ(all_4_92) = all_4_46
% 261.49/67.03 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.49/67.03 (12) ~ (all_4_82 = all_4_83)
% 261.49/67.03 (13) succ(all_4_89) = all_4_27
% 261.49/67.03 (14) pred(all_4_95) = all_4_55
% 261.49/67.03 (15) sum(all_4_44, all_4_46) = all_4_40
% 261.49/67.03 (16) sum(all_4_28, all_4_30) = all_4_24
% 261.49/67.03 (17) sum(all_4_20, all_4_19) = all_4_18
% 261.49/67.03 (18) succ(n9) = n10
% 261.49/67.03 (19) sum(all_4_9, all_4_8) = all_4_82
% 261.49/67.03 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.49/67.03 (21) sum(all_4_60, all_4_62) = all_4_56
% 261.49/67.03 (22) sum(all_4_71, all_4_70) = all_4_69
% 261.49/67.03 (23) sum(all_4_55, all_4_54) = all_4_53
% 261.49/67.03 (24) sum(all_4_23, all_4_22) = all_4_21
% 261.49/67.03 (25) sum(n2, n4) = n6
% 261.49/67.03 (26) sum(all_4_63, all_4_59) = all_4_57
% 261.49/67.03 (27) sum(all_4_31, all_4_27) = all_4_25
% 261.49/67.03 (28) sum(all_4_63, all_4_62) = all_4_61
% 261.49/67.03 (29) succ(all_4_94) = all_4_54
% 261.49/67.03 (30) sum(all_4_37, all_4_34) = all_4_89
% 261.49/67.03 (31) sum(n8, n8) = n5
% 261.49/67.03 (32) succ(all_4_86) = all_4_22
% 261.49/67.03 (33) pred(all_4_99) = all_4_71
% 261.49/67.03 (34) pred(all_4_86) = all_4_20
% 261.49/67.03 (35) succ(all_4_90) = all_4_38
% 261.49/67.03 (36) pred(all_4_88) = all_4_28
% 261.49/67.03 (37) pred(all_4_85) = all_4_15
% 261.49/67.03 (38) sum(all_4_15, all_4_14) = all_4_13
% 261.49/67.03 (39) sum(all_4_31, all_4_30) = all_4_29
% 261.49/67.03 (40) sum(n8, n10) = n7
% 261.49/67.03 (41) sum(all_4_57, all_4_56) = all_4_94
% 261.49/67.03 (42) sum(n0, n2) = n2
% 261.49/67.03 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.49/67.03 (44) sum(n3, n5) = n8
% 261.49/67.03 (45) sum(n10, n10) = n9
% 261.49/67.03 (46) sum(all_4_47, all_4_43) = all_4_41
% 261.49/67.03 (47) sum(all_4_12, all_4_14) = all_4_8
% 261.49/67.03 (48) pred(n5) = n4
% 261.49/67.03 (49) sum(all_4_29, all_4_26) = all_4_87
% 261.49/67.03 (50) pred(all_4_91) = all_4_39
% 261.49/67.03 (51) pred(all_4_89) = all_4_31
% 261.49/67.03 (52) pred(all_4_92) = all_4_44
% 261.49/67.03 (53) sum(all_4_65, all_4_64) = all_4_96
% 261.49/67.03 (54) pred(n4) = n3
% 261.49/67.04 (55) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.49/67.04 | ~ (succ(v2) = v0))
% 261.49/67.04 (56) pred(all_4_97) = all_4_63
% 261.49/67.04 (57) succ(all_4_99) = all_4_67
% 261.49/67.04 (58) pred(n9) = n8
% 261.49/67.04 (59) succ(n3) = n4
% 261.49/67.04 (60) pred(all_4_96) = all_4_60
% 261.49/67.04 (61) succ(all_4_96) = all_4_62
% 261.49/67.04 (62) pred(n3) = n2
% 261.49/67.04 (63) succ(all_4_88) = all_4_30
% 261.49/67.04 (64) sum(all_4_20, all_4_22) = all_4_16
% 261.49/67.04 (65) sum(all_4_12, all_4_11) = all_4_10
% 261.49/67.04 (66) sum(all_4_55, all_4_51) = all_4_49
% 261.49/67.04 (67) sum(all_4_36, all_4_35) = all_4_34
% 261.49/67.04 (68) sum(all_4_15, all_4_11) = all_4_9
% 261.49/67.04 (69) sum(all_4_47, all_4_46) = all_4_45
% 261.49/67.04 (70) pred(all_4_93) = all_4_47
% 261.49/67.04 (71) sum(all_4_71, all_4_67) = all_4_65
% 261.49/67.04 (72) sum(all_4_60, all_4_59) = all_4_58
% 261.49/67.04 (73) sum(all_4_41, all_4_40) = all_4_90
% 261.49/67.04 (74) sum(all_4_68, all_4_67) = all_4_66
% 261.49/67.04 (75) all_4_99 = n4
% 261.49/67.04 (76) sum(all_4_39, all_4_35) = all_4_33
% 261.49/67.04 (77) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.49/67.04 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.49/67.04 (78) pred(all_4_87) = all_4_23
% 261.49/67.04 (79) sum(all_4_45, all_4_42) = all_4_91
% 261.49/67.04 (80) sum(all_4_39, all_4_38) = all_4_37
% 261.49/67.04 (81) sum(n6, n6) = n1
% 261.49/67.04 (82) sum(all_4_44, all_4_43) = all_4_42
% 261.49/67.04 (83) sum(n2, n2) = all_4_99
% 261.49/67.04 (84) succ(n5) = n6
% 261.49/67.04 (85) sum(all_4_69, all_4_66) = all_4_97
% 261.49/67.04 (86) succ(n4) = n5
% 261.49/67.04 (87) sum(all_4_17, all_4_16) = all_4_84
% 261.49/67.04 (88) sum(all_4_13, all_4_10) = all_4_83
% 261.49/67.04 (89) succ(all_4_98) = all_4_70
% 261.49/67.04 (90) pred(all_4_90) = all_4_36
% 261.49/67.04 (91) pred(n1) = n0
% 261.49/67.04 (92) sum(all_4_68, all_4_70) = all_4_64
% 261.49/67.04 (93) succ(all_4_97) = all_4_59
% 261.49/67.04 (94) sum(all_4_36, all_4_38) = all_4_32
% 261.49/67.04 (95) pred(all_4_84) = all_4_12
% 261.49/67.04 (96) sum(all_4_61, all_4_58) = all_4_95
% 261.49/67.04 (97) sum(n7, n7) = n3
% 261.49/67.04 (98) all_4_98 = n4
% 261.49/67.04 (99) succ(all_4_85) = all_4_11
% 261.49/67.04 (100) sum(all_4_49, all_4_48) = all_4_92
% 261.49/67.04 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.49/67.04 | ~ (pred(v2) = v0))
% 261.49/67.04 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.49/67.04 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.49/67.04 (104) succ(all_4_93) = all_4_43
% 261.49/67.04 (105) pred(all_4_98) = all_4_68
% 261.49/67.04 (106) pred(all_4_94) = all_4_52
% 261.49/67.04
% 261.49/67.04 Begin of proof
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (98), (105) imply:
% 261.49/67.04 | (107) pred(n4) = all_4_68
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (33), (75) imply:
% 261.49/67.04 | (108) pred(n4) = all_4_71
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (89), (98) imply:
% 261.49/67.04 | (109) succ(n4) = all_4_70
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (57), (75) imply:
% 261.49/67.04 | (110) succ(n4) = all_4_67
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (75), (83) imply:
% 261.49/67.04 | (111) sum(n2, n2) = n4
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (55) with n5, all_4_67, n4, simplifying with (86),
% 261.49/67.04 | (110) gives:
% 261.49/67.04 | (112) all_4_67 = n5
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (55) with all_4_70, all_4_67, n4, simplifying with
% 261.49/67.04 | (109), (110) gives:
% 261.49/67.04 | (113) all_4_67 = all_4_70
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (101) with n3, all_4_68, n4, simplifying with (54),
% 261.49/67.04 | (107) gives:
% 261.49/67.04 | (114) all_4_68 = n3
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (101) with all_4_71, all_4_68, n4, simplifying with
% 261.49/67.04 | (107), (108) gives:
% 261.49/67.04 | (115) all_4_68 = all_4_71
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (112), (113) imply:
% 261.49/67.04 | (116) all_4_70 = n5
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (114), (115) imply:
% 261.49/67.04 | (117) all_4_71 = n3
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (74), (112), (114) imply:
% 261.49/67.04 | (118) sum(n3, n5) = all_4_66
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (92), (114), (116) imply:
% 261.49/67.04 | (119) sum(n3, n5) = all_4_64
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (71), (112), (117) imply:
% 261.49/67.04 | (120) sum(n3, n5) = all_4_65
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (22), (116), (117) imply:
% 261.49/67.04 | (121) sum(n3, n5) = all_4_69
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with n8, all_4_65, n5, n3, simplifying with
% 261.49/67.04 | (44), (120) gives:
% 261.49/67.04 | (122) all_4_65 = n8
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_66, all_4_65, n5, n3, simplifying
% 261.49/67.04 | with (118), (120) gives:
% 261.49/67.04 | (123) all_4_65 = all_4_66
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_66, all_4_64, n5, n3, simplifying
% 261.49/67.04 | with (118), (119) gives:
% 261.49/67.04 | (124) all_4_64 = all_4_66
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_69, all_4_64, n5, n3, simplifying
% 261.49/67.04 | with (119), (121) gives:
% 261.49/67.04 | (125) all_4_64 = all_4_69
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (124), (125) imply:
% 261.49/67.04 | (126) all_4_66 = all_4_69
% 261.49/67.04 |
% 261.49/67.04 | SIMP: (126) implies:
% 261.49/67.04 | (127) all_4_66 = all_4_69
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (122), (123) imply:
% 261.49/67.04 | (128) all_4_66 = n8
% 261.49/67.04 |
% 261.49/67.04 | SIMP: (128) implies:
% 261.49/67.04 | (129) all_4_66 = n8
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (127), (129) imply:
% 261.49/67.04 | (130) all_4_69 = n8
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (125), (130) imply:
% 261.49/67.04 | (131) all_4_64 = n8
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (53), (122), (131) imply:
% 261.49/67.04 | (132) sum(n8, n8) = all_4_96
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (85), (129), (130) imply:
% 261.49/67.04 | (133) sum(n8, n8) = all_4_97
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with n5, all_4_96, n8, n8, simplifying with
% 261.49/67.04 | (31), (132) gives:
% 261.49/67.04 | (134) all_4_96 = n5
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_97, all_4_96, n8, n8, simplifying
% 261.49/67.04 | with (132), (133) gives:
% 261.49/67.04 | (135) all_4_96 = all_4_97
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (134), (135) imply:
% 261.49/67.04 | (136) all_4_97 = n5
% 261.49/67.04 |
% 261.49/67.04 | SIMP: (136) implies:
% 261.49/67.04 | (137) all_4_97 = n5
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (60), (134) imply:
% 261.49/67.04 | (138) pred(n5) = all_4_60
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (56), (137) imply:
% 261.49/67.04 | (139) pred(n5) = all_4_63
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (61), (134) imply:
% 261.49/67.04 | (140) succ(n5) = all_4_62
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (93), (137) imply:
% 261.49/67.04 | (141) succ(n5) = all_4_59
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (55) with n6, all_4_59, n5, simplifying with (84),
% 261.49/67.04 | (141) gives:
% 261.49/67.04 | (142) all_4_59 = n6
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (55) with all_4_62, all_4_59, n5, simplifying with
% 261.49/67.04 | (140), (141) gives:
% 261.49/67.04 | (143) all_4_59 = all_4_62
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (101) with n4, all_4_60, n5, simplifying with (48),
% 261.49/67.04 | (138) gives:
% 261.49/67.04 | (144) all_4_60 = n4
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (101) with all_4_63, all_4_60, n5, simplifying with
% 261.49/67.04 | (138), (139) gives:
% 261.49/67.04 | (145) all_4_60 = all_4_63
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (142), (143) imply:
% 261.49/67.04 | (146) all_4_62 = n6
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (144), (145) imply:
% 261.49/67.04 | (147) all_4_63 = n4
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (72), (142), (144) imply:
% 261.49/67.04 | (148) sum(n4, n6) = all_4_58
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (21), (144), (146) imply:
% 261.49/67.04 | (149) sum(n4, n6) = all_4_56
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (26), (142), (147) imply:
% 261.49/67.04 | (150) sum(n4, n6) = all_4_57
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (28), (146), (147) imply:
% 261.49/67.04 | (151) sum(n4, n6) = all_4_61
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with n10, all_4_57, n6, n4, simplifying with
% 261.49/67.04 | (8), (150) gives:
% 261.49/67.04 | (152) all_4_57 = n10
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_58, all_4_57, n6, n4, simplifying
% 261.49/67.04 | with (148), (150) gives:
% 261.49/67.04 | (153) all_4_57 = all_4_58
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_57, all_4_56, n6, n4, simplifying
% 261.49/67.04 | with (149), (150) gives:
% 261.49/67.04 | (154) all_4_56 = all_4_57
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_61, all_4_56, n6, n4, simplifying
% 261.49/67.04 | with (149), (151) gives:
% 261.49/67.04 | (155) all_4_56 = all_4_61
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (154), (155) imply:
% 261.49/67.04 | (156) all_4_57 = all_4_61
% 261.49/67.04 |
% 261.49/67.04 | SIMP: (156) implies:
% 261.49/67.04 | (157) all_4_57 = all_4_61
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (152), (153) imply:
% 261.49/67.04 | (158) all_4_58 = n10
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (153), (157) imply:
% 261.49/67.04 | (159) all_4_58 = all_4_61
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (158), (159) imply:
% 261.49/67.04 | (160) all_4_61 = n10
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (155), (160) imply:
% 261.49/67.04 | (161) all_4_56 = n10
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (41), (152), (161) imply:
% 261.49/67.04 | (162) sum(n10, n10) = all_4_94
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (96), (158), (160) imply:
% 261.49/67.04 | (163) sum(n10, n10) = all_4_95
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with n9, all_4_94, n10, n10, simplifying with
% 261.49/67.04 | (45), (162) gives:
% 261.49/67.04 | (164) all_4_94 = n9
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with all_4_95, all_4_94, n10, n10, simplifying
% 261.49/67.04 | with (162), (163) gives:
% 261.49/67.04 | (165) all_4_94 = all_4_95
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (164), (165) imply:
% 261.49/67.04 | (166) all_4_95 = n9
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (106), (164) imply:
% 261.49/67.04 | (167) pred(n9) = all_4_52
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (14), (166) imply:
% 261.49/67.04 | (168) pred(n9) = all_4_55
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (29), (164) imply:
% 261.49/67.04 | (169) succ(n9) = all_4_54
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (3), (166) imply:
% 261.49/67.04 | (170) succ(n9) = all_4_51
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (55) with n10, all_4_51, n9, simplifying with (18),
% 261.49/67.04 | (170) gives:
% 261.49/67.04 | (171) all_4_51 = n10
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (55) with all_4_54, all_4_51, n9, simplifying with
% 261.49/67.04 | (169), (170) gives:
% 261.49/67.04 | (172) all_4_51 = all_4_54
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (101) with n8, all_4_52, n9, simplifying with (58),
% 261.49/67.04 | (167) gives:
% 261.49/67.04 | (173) all_4_52 = n8
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (101) with all_4_55, all_4_52, n9, simplifying with
% 261.49/67.04 | (167), (168) gives:
% 261.49/67.04 | (174) all_4_52 = all_4_55
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (171), (172) imply:
% 261.49/67.04 | (175) all_4_54 = n10
% 261.49/67.04 |
% 261.49/67.04 | COMBINE_EQS: (173), (174) imply:
% 261.49/67.04 | (176) all_4_55 = n8
% 261.49/67.04 |
% 261.49/67.04 | SIMP: (176) implies:
% 261.49/67.04 | (177) all_4_55 = n8
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (102), (171), (173) imply:
% 261.49/67.04 | (178) sum(n8, n10) = all_4_50
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (20), (173), (175) imply:
% 261.49/67.04 | (179) sum(n8, n10) = all_4_48
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (66), (171), (177) imply:
% 261.49/67.04 | (180) sum(n8, n10) = all_4_49
% 261.49/67.04 |
% 261.49/67.04 | REDUCE: (23), (175), (177) imply:
% 261.49/67.04 | (181) sum(n8, n10) = all_4_53
% 261.49/67.04 |
% 261.49/67.04 | GROUND_INST: instantiating (77) with n7, all_4_49, n10, n8, simplifying with
% 261.49/67.04 | (40), (180) gives:
% 261.50/67.04 | (182) all_4_49 = n7
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_50, all_4_49, n10, n8, simplifying
% 261.50/67.04 | with (178), (180) gives:
% 261.50/67.04 | (183) all_4_49 = all_4_50
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_49, all_4_48, n10, n8, simplifying
% 261.50/67.04 | with (179), (180) gives:
% 261.50/67.04 | (184) all_4_48 = all_4_49
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_53, all_4_48, n10, n8, simplifying
% 261.50/67.04 | with (179), (181) gives:
% 261.50/67.04 | (185) all_4_48 = all_4_53
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (184), (185) imply:
% 261.50/67.04 | (186) all_4_49 = all_4_53
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (186) implies:
% 261.50/67.04 | (187) all_4_49 = all_4_53
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (182), (183) imply:
% 261.50/67.04 | (188) all_4_50 = n7
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (183), (187) imply:
% 261.50/67.04 | (189) all_4_50 = all_4_53
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (188), (189) imply:
% 261.50/67.04 | (190) all_4_53 = n7
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (185), (190) imply:
% 261.50/67.04 | (191) all_4_48 = n7
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (100), (182), (191) imply:
% 261.50/67.04 | (192) sum(n7, n7) = all_4_92
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (103), (188), (190) imply:
% 261.50/67.04 | (193) sum(n7, n7) = all_4_93
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n3, all_4_92, n7, n7, simplifying with
% 261.50/67.04 | (97), (192) gives:
% 261.50/67.04 | (194) all_4_92 = n3
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_93, all_4_92, n7, n7, simplifying
% 261.50/67.04 | with (192), (193) gives:
% 261.50/67.04 | (195) all_4_92 = all_4_93
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (194), (195) imply:
% 261.50/67.04 | (196) all_4_93 = n3
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (196) implies:
% 261.50/67.04 | (197) all_4_93 = n3
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (52), (194) imply:
% 261.50/67.04 | (198) pred(n3) = all_4_44
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (70), (197) imply:
% 261.50/67.04 | (199) pred(n3) = all_4_47
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (10), (194) imply:
% 261.50/67.04 | (200) succ(n3) = all_4_46
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (104), (197) imply:
% 261.50/67.04 | (201) succ(n3) = all_4_43
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with n4, all_4_43, n3, simplifying with (59),
% 261.50/67.04 | (201) gives:
% 261.50/67.04 | (202) all_4_43 = n4
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with all_4_46, all_4_43, n3, simplifying with
% 261.50/67.04 | (200), (201) gives:
% 261.50/67.04 | (203) all_4_43 = all_4_46
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with n2, all_4_44, n3, simplifying with (62),
% 261.50/67.04 | (198) gives:
% 261.50/67.04 | (204) all_4_44 = n2
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with all_4_47, all_4_44, n3, simplifying with
% 261.50/67.04 | (198), (199) gives:
% 261.50/67.04 | (205) all_4_44 = all_4_47
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (202), (203) imply:
% 261.50/67.04 | (206) all_4_46 = n4
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (204), (205) imply:
% 261.50/67.04 | (207) all_4_47 = n2
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (82), (202), (204) imply:
% 261.50/67.04 | (208) sum(n2, n4) = all_4_42
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (15), (204), (206) imply:
% 261.50/67.04 | (209) sum(n2, n4) = all_4_40
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (46), (202), (207) imply:
% 261.50/67.04 | (210) sum(n2, n4) = all_4_41
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (69), (206), (207) imply:
% 261.50/67.04 | (211) sum(n2, n4) = all_4_45
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n6, all_4_41, n4, n2, simplifying with
% 261.50/67.04 | (25), (210) gives:
% 261.50/67.04 | (212) all_4_41 = n6
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_42, all_4_41, n4, n2, simplifying
% 261.50/67.04 | with (208), (210) gives:
% 261.50/67.04 | (213) all_4_41 = all_4_42
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_41, all_4_40, n4, n2, simplifying
% 261.50/67.04 | with (209), (210) gives:
% 261.50/67.04 | (214) all_4_40 = all_4_41
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_45, all_4_40, n4, n2, simplifying
% 261.50/67.04 | with (209), (211) gives:
% 261.50/67.04 | (215) all_4_40 = all_4_45
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (214), (215) imply:
% 261.50/67.04 | (216) all_4_41 = all_4_45
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (216) implies:
% 261.50/67.04 | (217) all_4_41 = all_4_45
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (212), (213) imply:
% 261.50/67.04 | (218) all_4_42 = n6
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (213), (217) imply:
% 261.50/67.04 | (219) all_4_42 = all_4_45
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (218), (219) imply:
% 261.50/67.04 | (220) all_4_45 = n6
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (220) implies:
% 261.50/67.04 | (221) all_4_45 = n6
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (215), (221) imply:
% 261.50/67.04 | (222) all_4_40 = n6
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (73), (212), (222) imply:
% 261.50/67.04 | (223) sum(n6, n6) = all_4_90
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (79), (218), (221) imply:
% 261.50/67.04 | (224) sum(n6, n6) = all_4_91
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n1, all_4_90, n6, n6, simplifying with
% 261.50/67.04 | (81), (223) gives:
% 261.50/67.04 | (225) all_4_90 = n1
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_91, all_4_90, n6, n6, simplifying
% 261.50/67.04 | with (223), (224) gives:
% 261.50/67.04 | (226) all_4_90 = all_4_91
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (225), (226) imply:
% 261.50/67.04 | (227) all_4_91 = n1
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (227) implies:
% 261.50/67.04 | (228) all_4_91 = n1
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (90), (225) imply:
% 261.50/67.04 | (229) pred(n1) = all_4_36
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (50), (228) imply:
% 261.50/67.04 | (230) pred(n1) = all_4_39
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (35), (225) imply:
% 261.50/67.04 | (231) succ(n1) = all_4_38
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (7), (228) imply:
% 261.50/67.04 | (232) succ(n1) = all_4_35
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with n2, all_4_35, n1, simplifying with (6),
% 261.50/67.04 | (232) gives:
% 261.50/67.04 | (233) all_4_35 = n2
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with all_4_38, all_4_35, n1, simplifying with
% 261.50/67.04 | (231), (232) gives:
% 261.50/67.04 | (234) all_4_35 = all_4_38
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with n0, all_4_36, n1, simplifying with (91),
% 261.50/67.04 | (229) gives:
% 261.50/67.04 | (235) all_4_36 = n0
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with all_4_39, all_4_36, n1, simplifying with
% 261.50/67.04 | (229), (230) gives:
% 261.50/67.04 | (236) all_4_36 = all_4_39
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (233), (234) imply:
% 261.50/67.04 | (237) all_4_38 = n2
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (235), (236) imply:
% 261.50/67.04 | (238) all_4_39 = n0
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (67), (233), (235) imply:
% 261.50/67.04 | (239) sum(n0, n2) = all_4_34
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (94), (235), (237) imply:
% 261.50/67.04 | (240) sum(n0, n2) = all_4_32
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (76), (233), (238) imply:
% 261.50/67.04 | (241) sum(n0, n2) = all_4_33
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (80), (237), (238) imply:
% 261.50/67.04 | (242) sum(n0, n2) = all_4_37
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n2, all_4_33, n2, n0, simplifying with
% 261.50/67.04 | (42), (241) gives:
% 261.50/67.04 | (243) all_4_33 = n2
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_34, all_4_33, n2, n0, simplifying
% 261.50/67.04 | with (239), (241) gives:
% 261.50/67.04 | (244) all_4_33 = all_4_34
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_33, all_4_32, n2, n0, simplifying
% 261.50/67.04 | with (240), (241) gives:
% 261.50/67.04 | (245) all_4_32 = all_4_33
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_37, all_4_32, n2, n0, simplifying
% 261.50/67.04 | with (240), (242) gives:
% 261.50/67.04 | (246) all_4_32 = all_4_37
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (245), (246) imply:
% 261.50/67.04 | (247) all_4_33 = all_4_37
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (247) implies:
% 261.50/67.04 | (248) all_4_33 = all_4_37
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (243), (244) imply:
% 261.50/67.04 | (249) all_4_34 = n2
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (244), (248) imply:
% 261.50/67.04 | (250) all_4_34 = all_4_37
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (249), (250) imply:
% 261.50/67.04 | (251) all_4_37 = n2
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (246), (251) imply:
% 261.50/67.04 | (252) all_4_32 = n2
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (43), (243), (252) imply:
% 261.50/67.04 | (253) sum(n2, n2) = all_4_88
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (30), (249), (251) imply:
% 261.50/67.04 | (254) sum(n2, n2) = all_4_89
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n4, all_4_88, n2, n2, simplifying with
% 261.50/67.04 | (111), (253) gives:
% 261.50/67.04 | (255) all_4_88 = n4
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_89, all_4_88, n2, n2, simplifying
% 261.50/67.04 | with (253), (254) gives:
% 261.50/67.04 | (256) all_4_88 = all_4_89
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (255), (256) imply:
% 261.50/67.04 | (257) all_4_89 = n4
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (36), (255) imply:
% 261.50/67.04 | (258) pred(n4) = all_4_28
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (51), (257) imply:
% 261.50/67.04 | (259) pred(n4) = all_4_31
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (63), (255) imply:
% 261.50/67.04 | (260) succ(n4) = all_4_30
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (13), (257) imply:
% 261.50/67.04 | (261) succ(n4) = all_4_27
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with n5, all_4_27, n4, simplifying with (86),
% 261.50/67.04 | (261) gives:
% 261.50/67.04 | (262) all_4_27 = n5
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with all_4_30, all_4_27, n4, simplifying with
% 261.50/67.04 | (260), (261) gives:
% 261.50/67.04 | (263) all_4_27 = all_4_30
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with n3, all_4_28, n4, simplifying with (54),
% 261.50/67.04 | (258) gives:
% 261.50/67.04 | (264) all_4_28 = n3
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with all_4_31, all_4_28, n4, simplifying with
% 261.50/67.04 | (258), (259) gives:
% 261.50/67.04 | (265) all_4_28 = all_4_31
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (262), (263) imply:
% 261.50/67.04 | (266) all_4_30 = n5
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (264), (265) imply:
% 261.50/67.04 | (267) all_4_31 = n3
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (1), (262), (264) imply:
% 261.50/67.04 | (268) sum(n3, n5) = all_4_26
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (16), (264), (266) imply:
% 261.50/67.04 | (269) sum(n3, n5) = all_4_24
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (27), (262), (267) imply:
% 261.50/67.04 | (270) sum(n3, n5) = all_4_25
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (39), (266), (267) imply:
% 261.50/67.04 | (271) sum(n3, n5) = all_4_29
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n8, all_4_25, n5, n3, simplifying with
% 261.50/67.04 | (44), (270) gives:
% 261.50/67.04 | (272) all_4_25 = n8
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_26, all_4_25, n5, n3, simplifying
% 261.50/67.04 | with (268), (270) gives:
% 261.50/67.04 | (273) all_4_25 = all_4_26
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_25, all_4_24, n5, n3, simplifying
% 261.50/67.04 | with (269), (270) gives:
% 261.50/67.04 | (274) all_4_24 = all_4_25
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_29, all_4_24, n5, n3, simplifying
% 261.50/67.04 | with (269), (271) gives:
% 261.50/67.04 | (275) all_4_24 = all_4_29
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (274), (275) imply:
% 261.50/67.04 | (276) all_4_25 = all_4_29
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (276) implies:
% 261.50/67.04 | (277) all_4_25 = all_4_29
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (272), (273) imply:
% 261.50/67.04 | (278) all_4_26 = n8
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (273), (277) imply:
% 261.50/67.04 | (279) all_4_26 = all_4_29
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (278), (279) imply:
% 261.50/67.04 | (280) all_4_29 = n8
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (275), (280) imply:
% 261.50/67.04 | (281) all_4_24 = n8
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (5), (272), (281) imply:
% 261.50/67.04 | (282) sum(n8, n8) = all_4_86
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (49), (278), (280) imply:
% 261.50/67.04 | (283) sum(n8, n8) = all_4_87
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n5, all_4_86, n8, n8, simplifying with
% 261.50/67.04 | (31), (282) gives:
% 261.50/67.04 | (284) all_4_86 = n5
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_87, all_4_86, n8, n8, simplifying
% 261.50/67.04 | with (282), (283) gives:
% 261.50/67.04 | (285) all_4_86 = all_4_87
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (284), (285) imply:
% 261.50/67.04 | (286) all_4_87 = n5
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (286) implies:
% 261.50/67.04 | (287) all_4_87 = n5
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (34), (284) imply:
% 261.50/67.04 | (288) pred(n5) = all_4_20
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (78), (287) imply:
% 261.50/67.04 | (289) pred(n5) = all_4_23
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (32), (284) imply:
% 261.50/67.04 | (290) succ(n5) = all_4_22
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (4), (287) imply:
% 261.50/67.04 | (291) succ(n5) = all_4_19
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with n6, all_4_19, n5, simplifying with (84),
% 261.50/67.04 | (291) gives:
% 261.50/67.04 | (292) all_4_19 = n6
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (55) with all_4_22, all_4_19, n5, simplifying with
% 261.50/67.04 | (290), (291) gives:
% 261.50/67.04 | (293) all_4_19 = all_4_22
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with n4, all_4_20, n5, simplifying with (48),
% 261.50/67.04 | (288) gives:
% 261.50/67.04 | (294) all_4_20 = n4
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (101) with all_4_23, all_4_20, n5, simplifying with
% 261.50/67.04 | (288), (289) gives:
% 261.50/67.04 | (295) all_4_20 = all_4_23
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (292), (293) imply:
% 261.50/67.04 | (296) all_4_22 = n6
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (294), (295) imply:
% 261.50/67.04 | (297) all_4_23 = n4
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (17), (292), (294) imply:
% 261.50/67.04 | (298) sum(n4, n6) = all_4_18
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (64), (294), (296) imply:
% 261.50/67.04 | (299) sum(n4, n6) = all_4_16
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (11), (292), (297) imply:
% 261.50/67.04 | (300) sum(n4, n6) = all_4_17
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (24), (296), (297) imply:
% 261.50/67.04 | (301) sum(n4, n6) = all_4_21
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with n10, all_4_17, n6, n4, simplifying with
% 261.50/67.04 | (8), (300) gives:
% 261.50/67.04 | (302) all_4_17 = n10
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_18, all_4_17, n6, n4, simplifying
% 261.50/67.04 | with (298), (300) gives:
% 261.50/67.04 | (303) all_4_17 = all_4_18
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_17, all_4_16, n6, n4, simplifying
% 261.50/67.04 | with (299), (300) gives:
% 261.50/67.04 | (304) all_4_16 = all_4_17
% 261.50/67.04 |
% 261.50/67.04 | GROUND_INST: instantiating (77) with all_4_21, all_4_16, n6, n4, simplifying
% 261.50/67.04 | with (299), (301) gives:
% 261.50/67.04 | (305) all_4_16 = all_4_21
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (304), (305) imply:
% 261.50/67.04 | (306) all_4_17 = all_4_21
% 261.50/67.04 |
% 261.50/67.04 | SIMP: (306) implies:
% 261.50/67.04 | (307) all_4_17 = all_4_21
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (302), (303) imply:
% 261.50/67.04 | (308) all_4_18 = n10
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (303), (307) imply:
% 261.50/67.04 | (309) all_4_18 = all_4_21
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (308), (309) imply:
% 261.50/67.04 | (310) all_4_21 = n10
% 261.50/67.04 |
% 261.50/67.04 | COMBINE_EQS: (305), (310) imply:
% 261.50/67.04 | (311) all_4_16 = n10
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (87), (302), (311) imply:
% 261.50/67.04 | (312) sum(n10, n10) = all_4_84
% 261.50/67.04 |
% 261.50/67.04 | REDUCE: (9), (308), (310) imply:
% 261.50/67.04 | (313) sum(n10, n10) = all_4_85
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with n9, all_4_84, n10, n10, simplifying with
% 261.50/67.05 | (45), (312) gives:
% 261.50/67.05 | (314) all_4_84 = n9
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with all_4_85, all_4_84, n10, n10, simplifying
% 261.50/67.05 | with (312), (313) gives:
% 261.50/67.05 | (315) all_4_84 = all_4_85
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (314), (315) imply:
% 261.50/67.05 | (316) all_4_85 = n9
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (316) implies:
% 261.50/67.05 | (317) all_4_85 = n9
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (95), (314) imply:
% 261.50/67.05 | (318) pred(n9) = all_4_12
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (37), (317) imply:
% 261.50/67.05 | (319) pred(n9) = all_4_15
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (2), (314) imply:
% 261.50/67.05 | (320) succ(n9) = all_4_14
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (99), (317) imply:
% 261.50/67.05 | (321) succ(n9) = all_4_11
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (55) with n10, all_4_11, n9, simplifying with (18),
% 261.50/67.05 | (321) gives:
% 261.50/67.05 | (322) all_4_11 = n10
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (55) with all_4_14, all_4_11, n9, simplifying with
% 261.50/67.05 | (320), (321) gives:
% 261.50/67.05 | (323) all_4_11 = all_4_14
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (101) with n8, all_4_12, n9, simplifying with (58),
% 261.50/67.05 | (318) gives:
% 261.50/67.05 | (324) all_4_12 = n8
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (101) with all_4_15, all_4_12, n9, simplifying with
% 261.50/67.05 | (318), (319) gives:
% 261.50/67.05 | (325) all_4_12 = all_4_15
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (322), (323) imply:
% 261.50/67.05 | (326) all_4_14 = n10
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (324), (325) imply:
% 261.50/67.05 | (327) all_4_15 = n8
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (65), (322), (324) imply:
% 261.50/67.05 | (328) sum(n8, n10) = all_4_10
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (47), (324), (326) imply:
% 261.50/67.05 | (329) sum(n8, n10) = all_4_8
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (68), (322), (327) imply:
% 261.50/67.05 | (330) sum(n8, n10) = all_4_9
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (38), (326), (327) imply:
% 261.50/67.05 | (331) sum(n8, n10) = all_4_13
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with n7, all_4_9, n10, n8, simplifying with
% 261.50/67.05 | (40), (330) gives:
% 261.50/67.05 | (332) all_4_9 = n7
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with all_4_10, all_4_9, n10, n8, simplifying
% 261.50/67.05 | with (328), (330) gives:
% 261.50/67.05 | (333) all_4_9 = all_4_10
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with all_4_9, all_4_8, n10, n8, simplifying
% 261.50/67.05 | with (329), (330) gives:
% 261.50/67.05 | (334) all_4_8 = all_4_9
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with all_4_13, all_4_8, n10, n8, simplifying
% 261.50/67.05 | with (329), (331) gives:
% 261.50/67.05 | (335) all_4_8 = all_4_13
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (334), (335) imply:
% 261.50/67.05 | (336) all_4_9 = all_4_13
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (336) implies:
% 261.50/67.05 | (337) all_4_9 = all_4_13
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (332), (333) imply:
% 261.50/67.05 | (338) all_4_10 = n7
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (333), (337) imply:
% 261.50/67.05 | (339) all_4_10 = all_4_13
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (338), (339) imply:
% 261.50/67.05 | (340) all_4_13 = n7
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (335), (340) imply:
% 261.50/67.05 | (341) all_4_8 = n7
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (19), (332), (341) imply:
% 261.50/67.05 | (342) sum(n7, n7) = all_4_82
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (88), (338), (340) imply:
% 261.50/67.05 | (343) sum(n7, n7) = all_4_83
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with n3, all_4_82, n7, n7, simplifying with
% 261.50/67.05 | (97), (342) gives:
% 261.50/67.05 | (344) all_4_82 = n3
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (77) with all_4_83, all_4_82, n7, n7, simplifying
% 261.50/67.05 | with (342), (343) gives:
% 261.50/67.05 | (345) all_4_82 = all_4_83
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (344), (345) imply:
% 261.50/67.05 | (346) all_4_83 = n3
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (346) implies:
% 261.50/67.05 | (347) all_4_83 = n3
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (12), (344), (347) imply:
% 261.50/67.05 | (348) $false
% 261.50/67.05 |
% 261.50/67.05 | CLOSE: (348) is inconsistent.
% 261.50/67.05 |
% 261.50/67.05 End of proof
% 261.50/67.05
% 261.50/67.05 Sub-proof #186 shows that the following formulas are inconsistent:
% 261.50/67.05 ----------------------------------------------------------------
% 261.50/67.05 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.50/67.05 (2) succ(all_4_84) = all_4_14
% 261.50/67.05 (3) succ(all_4_95) = all_4_51
% 261.50/67.05 (4) succ(all_4_87) = all_4_19
% 261.50/67.05 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.50/67.05 (6) succ(all_4_91) = all_4_35
% 261.50/67.05 (7) sum(all_4_21, all_4_18) = all_4_85
% 261.50/67.05 (8) succ(all_4_92) = all_4_46
% 261.50/67.05 (9) sum(all_4_23, all_4_19) = all_4_17
% 261.50/67.05 (10) ~ (all_4_82 = all_4_83)
% 261.50/67.05 (11) succ(all_4_89) = all_4_27
% 261.50/67.05 (12) pred(all_4_95) = all_4_55
% 261.50/67.05 (13) sum(all_4_44, all_4_46) = all_4_40
% 261.50/67.05 (14) sum(all_4_28, all_4_30) = all_4_24
% 261.50/67.05 (15) sum(all_4_20, all_4_19) = all_4_18
% 261.50/67.05 (16) sum(n9, n0) = n9
% 261.50/67.05 (17) sum(all_4_9, all_4_8) = all_4_82
% 261.50/67.05 (18) sum(all_4_52, all_4_54) = all_4_48
% 261.50/67.05 (19) sum(all_4_60, all_4_62) = all_4_56
% 261.50/67.05 (20) sum(all_4_71, all_4_70) = all_4_69
% 261.50/67.05 (21) sum(all_4_55, all_4_54) = all_4_53
% 261.50/67.05 (22) sum(all_4_23, all_4_22) = all_4_21
% 261.50/67.05 (23) sum(all_4_63, all_4_59) = all_4_57
% 261.50/67.05 (24) sum(all_4_31, all_4_27) = all_4_25
% 261.50/67.05 (25) sum(all_4_63, all_4_62) = all_4_61
% 261.50/67.05 (26) succ(all_4_94) = all_4_54
% 261.50/67.05 (27) sum(all_4_37, all_4_34) = all_4_89
% 261.50/67.05 (28) succ(all_4_86) = all_4_22
% 261.50/67.05 (29) pred(n8) = n7
% 261.50/67.05 (30) pred(all_4_99) = all_4_71
% 261.50/67.05 (31) pred(all_4_86) = all_4_20
% 261.50/67.05 (32) succ(all_4_90) = all_4_38
% 261.50/67.05 (33) sum(n6, n8) = n3
% 261.50/67.05 (34) pred(all_4_88) = all_4_28
% 261.50/67.05 (35) all_4_98 = n6
% 261.50/67.05 (36) pred(all_4_85) = all_4_15
% 261.50/67.05 (37) sum(all_4_15, all_4_14) = all_4_13
% 261.50/67.05 (38) sum(all_4_31, all_4_30) = all_4_29
% 261.50/67.05 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.50/67.05 (40) sum(all_4_33, all_4_32) = all_4_88
% 261.50/67.05 (41) sum(all_4_47, all_4_43) = all_4_41
% 261.50/67.05 (42) sum(all_4_12, all_4_14) = all_4_8
% 261.50/67.05 (43) sum(all_4_29, all_4_26) = all_4_87
% 261.50/67.05 (44) pred(all_4_91) = all_4_39
% 261.50/67.05 (45) pred(all_4_89) = all_4_31
% 261.50/67.05 (46) pred(all_4_92) = all_4_44
% 261.50/67.05 (47) sum(n5, n7) = n1
% 261.50/67.05 (48) sum(all_4_65, all_4_64) = all_4_96
% 261.50/67.05 (49) succ(n10) = n0
% 261.50/67.05 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.50/67.05 | ~ (succ(v2) = v0))
% 261.50/67.05 (51) pred(all_4_97) = all_4_63
% 261.50/67.05 (52) succ(all_4_99) = all_4_67
% 261.50/67.05 (53) pred(n6) = n5
% 261.50/67.05 (54) pred(all_4_96) = all_4_60
% 261.50/67.05 (55) succ(all_4_96) = all_4_62
% 261.50/67.05 (56) succ(all_4_88) = all_4_30
% 261.50/67.05 (57) sum(all_4_20, all_4_22) = all_4_16
% 261.50/67.05 (58) sum(all_4_12, all_4_11) = all_4_10
% 261.50/67.05 (59) sum(all_4_55, all_4_51) = all_4_49
% 261.50/67.05 (60) pred(n7) = n6
% 261.50/67.05 (61) sum(all_4_36, all_4_35) = all_4_34
% 261.50/67.05 (62) succ(n7) = n8
% 261.50/67.05 (63) sum(all_4_15, all_4_11) = all_4_9
% 261.50/67.05 (64) sum(all_4_47, all_4_46) = all_4_45
% 261.50/67.05 (65) pred(all_4_93) = all_4_47
% 261.50/67.05 (66) sum(all_4_71, all_4_67) = all_4_65
% 261.50/67.05 (67) sum(all_4_60, all_4_59) = all_4_58
% 261.50/67.05 (68) sum(n5, n5) = n10
% 261.50/67.05 (69) sum(all_4_41, all_4_40) = all_4_90
% 261.50/67.05 (70) succ(n2) = n3
% 261.50/67.05 (71) sum(all_4_68, all_4_67) = all_4_66
% 261.50/67.05 (72) succ(n6) = n7
% 261.50/67.05 (73) succ(n8) = n9
% 261.50/67.05 (74) sum(all_4_39, all_4_35) = all_4_33
% 261.50/67.05 (75) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.50/67.05 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.50/67.05 (76) pred(all_4_87) = all_4_23
% 261.50/67.05 (77) sum(all_4_45, all_4_42) = all_4_91
% 261.50/67.05 (78) sum(n9, n9) = n7
% 261.50/67.05 (79) sum(all_4_39, all_4_38) = all_4_37
% 261.50/67.05 (80) sum(all_4_44, all_4_43) = all_4_42
% 261.50/67.05 (81) pred(n10) = n9
% 261.50/67.05 (82) sum(all_4_69, all_4_66) = all_4_97
% 261.50/67.05 (83) sum(n7, n9) = n5
% 261.50/67.05 (84) sum(all_4_17, all_4_16) = all_4_84
% 261.50/67.05 (85) sum(all_4_13, all_4_10) = all_4_83
% 261.50/67.05 (86) pred(n2) = n1
% 261.50/67.05 (87) sum(n3, n3) = all_4_99
% 261.50/67.05 (88) succ(all_4_98) = all_4_70
% 261.50/67.05 (89) pred(all_4_90) = all_4_36
% 261.50/67.05 (90) sum(n4, n4) = n8
% 261.50/67.05 (91) sum(all_4_68, all_4_70) = all_4_64
% 261.50/67.05 (92) succ(all_4_97) = all_4_59
% 261.50/67.05 (93) sum(all_4_36, all_4_38) = all_4_32
% 261.50/67.05 (94) pred(all_4_84) = all_4_12
% 261.50/67.05 (95) sum(all_4_61, all_4_58) = all_4_95
% 261.50/67.05 (96) succ(all_4_85) = all_4_11
% 261.50/67.05 (97) sum(all_4_49, all_4_48) = all_4_92
% 261.50/67.05 (98) all_4_99 = n6
% 261.50/67.05 (99) sum(n1, n3) = n4
% 261.50/67.05 (100) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.50/67.05 | ~ (pred(v2) = v0))
% 261.50/67.05 (101) sum(n1, n1) = n2
% 261.50/67.05 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.50/67.05 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.50/67.05 (104) succ(all_4_93) = all_4_43
% 261.50/67.05 (105) pred(all_4_98) = all_4_68
% 261.50/67.05 (106) pred(all_4_94) = all_4_52
% 261.50/67.05
% 261.50/67.05 Begin of proof
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (35), (105) imply:
% 261.50/67.05 | (107) pred(n6) = all_4_68
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (30), (98) imply:
% 261.50/67.05 | (108) pred(n6) = all_4_71
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (35), (88) imply:
% 261.50/67.05 | (109) succ(n6) = all_4_70
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (52), (98) imply:
% 261.50/67.05 | (110) succ(n6) = all_4_67
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (87), (98) imply:
% 261.50/67.05 | (111) sum(n3, n3) = n6
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with n7, all_4_67, n6, simplifying with (72),
% 261.50/67.05 | (110) gives:
% 261.50/67.05 | (112) all_4_67 = n7
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with all_4_70, all_4_67, n6, simplifying with
% 261.50/67.05 | (109), (110) gives:
% 261.50/67.05 | (113) all_4_67 = all_4_70
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with n5, all_4_68, n6, simplifying with (53),
% 261.50/67.05 | (107) gives:
% 261.50/67.05 | (114) all_4_68 = n5
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with all_4_71, all_4_68, n6, simplifying with
% 261.50/67.05 | (107), (108) gives:
% 261.50/67.05 | (115) all_4_68 = all_4_71
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (112), (113) imply:
% 261.50/67.05 | (116) all_4_70 = n7
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (114), (115) imply:
% 261.50/67.05 | (117) all_4_71 = n5
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (71), (112), (114) imply:
% 261.50/67.05 | (118) sum(n5, n7) = all_4_66
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (91), (114), (116) imply:
% 261.50/67.05 | (119) sum(n5, n7) = all_4_64
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (66), (112), (117) imply:
% 261.50/67.05 | (120) sum(n5, n7) = all_4_65
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (20), (116), (117) imply:
% 261.50/67.05 | (121) sum(n5, n7) = all_4_69
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with n1, all_4_65, n7, n5, simplifying with
% 261.50/67.05 | (47), (120) gives:
% 261.50/67.05 | (122) all_4_65 = n1
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_66, all_4_65, n7, n5, simplifying
% 261.50/67.05 | with (118), (120) gives:
% 261.50/67.05 | (123) all_4_65 = all_4_66
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_66, all_4_64, n7, n5, simplifying
% 261.50/67.05 | with (118), (119) gives:
% 261.50/67.05 | (124) all_4_64 = all_4_66
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_69, all_4_64, n7, n5, simplifying
% 261.50/67.05 | with (119), (121) gives:
% 261.50/67.05 | (125) all_4_64 = all_4_69
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (124), (125) imply:
% 261.50/67.05 | (126) all_4_66 = all_4_69
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (126) implies:
% 261.50/67.05 | (127) all_4_66 = all_4_69
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (122), (123) imply:
% 261.50/67.05 | (128) all_4_66 = n1
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (128) implies:
% 261.50/67.05 | (129) all_4_66 = n1
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (127), (129) imply:
% 261.50/67.05 | (130) all_4_69 = n1
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (125), (130) imply:
% 261.50/67.05 | (131) all_4_64 = n1
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (48), (122), (131) imply:
% 261.50/67.05 | (132) sum(n1, n1) = all_4_96
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (82), (129), (130) imply:
% 261.50/67.05 | (133) sum(n1, n1) = all_4_97
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with n2, all_4_96, n1, n1, simplifying with
% 261.50/67.05 | (101), (132) gives:
% 261.50/67.05 | (134) all_4_96 = n2
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_97, all_4_96, n1, n1, simplifying
% 261.50/67.05 | with (132), (133) gives:
% 261.50/67.05 | (135) all_4_96 = all_4_97
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (134), (135) imply:
% 261.50/67.05 | (136) all_4_97 = n2
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (136) implies:
% 261.50/67.05 | (137) all_4_97 = n2
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (54), (134) imply:
% 261.50/67.05 | (138) pred(n2) = all_4_60
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (51), (137) imply:
% 261.50/67.05 | (139) pred(n2) = all_4_63
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (55), (134) imply:
% 261.50/67.05 | (140) succ(n2) = all_4_62
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (92), (137) imply:
% 261.50/67.05 | (141) succ(n2) = all_4_59
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with n3, all_4_59, n2, simplifying with (70),
% 261.50/67.05 | (141) gives:
% 261.50/67.05 | (142) all_4_59 = n3
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with all_4_62, all_4_59, n2, simplifying with
% 261.50/67.05 | (140), (141) gives:
% 261.50/67.05 | (143) all_4_59 = all_4_62
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with n1, all_4_60, n2, simplifying with (86),
% 261.50/67.05 | (138) gives:
% 261.50/67.05 | (144) all_4_60 = n1
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with all_4_63, all_4_60, n2, simplifying with
% 261.50/67.05 | (138), (139) gives:
% 261.50/67.05 | (145) all_4_60 = all_4_63
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (142), (143) imply:
% 261.50/67.05 | (146) all_4_62 = n3
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (144), (145) imply:
% 261.50/67.05 | (147) all_4_63 = n1
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (67), (142), (144) imply:
% 261.50/67.05 | (148) sum(n1, n3) = all_4_58
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (19), (144), (146) imply:
% 261.50/67.05 | (149) sum(n1, n3) = all_4_56
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (23), (142), (147) imply:
% 261.50/67.05 | (150) sum(n1, n3) = all_4_57
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (25), (146), (147) imply:
% 261.50/67.05 | (151) sum(n1, n3) = all_4_61
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with n4, all_4_57, n3, n1, simplifying with
% 261.50/67.05 | (99), (150) gives:
% 261.50/67.05 | (152) all_4_57 = n4
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_58, all_4_57, n3, n1, simplifying
% 261.50/67.05 | with (148), (150) gives:
% 261.50/67.05 | (153) all_4_57 = all_4_58
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_57, all_4_56, n3, n1, simplifying
% 261.50/67.05 | with (149), (150) gives:
% 261.50/67.05 | (154) all_4_56 = all_4_57
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_61, all_4_56, n3, n1, simplifying
% 261.50/67.05 | with (149), (151) gives:
% 261.50/67.05 | (155) all_4_56 = all_4_61
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (154), (155) imply:
% 261.50/67.05 | (156) all_4_57 = all_4_61
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (156) implies:
% 261.50/67.05 | (157) all_4_57 = all_4_61
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (152), (153) imply:
% 261.50/67.05 | (158) all_4_58 = n4
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (153), (157) imply:
% 261.50/67.05 | (159) all_4_58 = all_4_61
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (158), (159) imply:
% 261.50/67.05 | (160) all_4_61 = n4
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (155), (160) imply:
% 261.50/67.05 | (161) all_4_56 = n4
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (39), (152), (161) imply:
% 261.50/67.05 | (162) sum(n4, n4) = all_4_94
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (95), (158), (160) imply:
% 261.50/67.05 | (163) sum(n4, n4) = all_4_95
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with n8, all_4_94, n4, n4, simplifying with
% 261.50/67.05 | (90), (162) gives:
% 261.50/67.05 | (164) all_4_94 = n8
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_95, all_4_94, n4, n4, simplifying
% 261.50/67.05 | with (162), (163) gives:
% 261.50/67.05 | (165) all_4_94 = all_4_95
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (164), (165) imply:
% 261.50/67.05 | (166) all_4_95 = n8
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (106), (164) imply:
% 261.50/67.05 | (167) pred(n8) = all_4_52
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (12), (166) imply:
% 261.50/67.05 | (168) pred(n8) = all_4_55
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (26), (164) imply:
% 261.50/67.05 | (169) succ(n8) = all_4_54
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (3), (166) imply:
% 261.50/67.05 | (170) succ(n8) = all_4_51
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with n9, all_4_51, n8, simplifying with (73),
% 261.50/67.05 | (170) gives:
% 261.50/67.05 | (171) all_4_51 = n9
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with all_4_54, all_4_51, n8, simplifying with
% 261.50/67.05 | (169), (170) gives:
% 261.50/67.05 | (172) all_4_51 = all_4_54
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with n7, all_4_52, n8, simplifying with (29),
% 261.50/67.05 | (167) gives:
% 261.50/67.05 | (173) all_4_52 = n7
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with all_4_55, all_4_52, n8, simplifying with
% 261.50/67.05 | (167), (168) gives:
% 261.50/67.05 | (174) all_4_52 = all_4_55
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (171), (172) imply:
% 261.50/67.05 | (175) all_4_54 = n9
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (173), (174) imply:
% 261.50/67.05 | (176) all_4_55 = n7
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (176) implies:
% 261.50/67.05 | (177) all_4_55 = n7
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (102), (171), (173) imply:
% 261.50/67.05 | (178) sum(n7, n9) = all_4_50
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (18), (173), (175) imply:
% 261.50/67.05 | (179) sum(n7, n9) = all_4_48
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (59), (171), (177) imply:
% 261.50/67.05 | (180) sum(n7, n9) = all_4_49
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (21), (175), (177) imply:
% 261.50/67.05 | (181) sum(n7, n9) = all_4_53
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with n5, all_4_49, n9, n7, simplifying with
% 261.50/67.05 | (83), (180) gives:
% 261.50/67.05 | (182) all_4_49 = n5
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_50, all_4_49, n9, n7, simplifying
% 261.50/67.05 | with (178), (180) gives:
% 261.50/67.05 | (183) all_4_49 = all_4_50
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_49, all_4_48, n9, n7, simplifying
% 261.50/67.05 | with (179), (180) gives:
% 261.50/67.05 | (184) all_4_48 = all_4_49
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_53, all_4_48, n9, n7, simplifying
% 261.50/67.05 | with (179), (181) gives:
% 261.50/67.05 | (185) all_4_48 = all_4_53
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (184), (185) imply:
% 261.50/67.05 | (186) all_4_49 = all_4_53
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (186) implies:
% 261.50/67.05 | (187) all_4_49 = all_4_53
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (182), (183) imply:
% 261.50/67.05 | (188) all_4_50 = n5
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (183), (187) imply:
% 261.50/67.05 | (189) all_4_50 = all_4_53
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (188), (189) imply:
% 261.50/67.05 | (190) all_4_53 = n5
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (185), (190) imply:
% 261.50/67.05 | (191) all_4_48 = n5
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (97), (182), (191) imply:
% 261.50/67.05 | (192) sum(n5, n5) = all_4_92
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (103), (188), (190) imply:
% 261.50/67.05 | (193) sum(n5, n5) = all_4_93
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with n10, all_4_92, n5, n5, simplifying with
% 261.50/67.05 | (68), (192) gives:
% 261.50/67.05 | (194) all_4_92 = n10
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (75) with all_4_93, all_4_92, n5, n5, simplifying
% 261.50/67.05 | with (192), (193) gives:
% 261.50/67.05 | (195) all_4_92 = all_4_93
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (194), (195) imply:
% 261.50/67.05 | (196) all_4_93 = n10
% 261.50/67.05 |
% 261.50/67.05 | SIMP: (196) implies:
% 261.50/67.05 | (197) all_4_93 = n10
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (46), (194) imply:
% 261.50/67.05 | (198) pred(n10) = all_4_44
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (65), (197) imply:
% 261.50/67.05 | (199) pred(n10) = all_4_47
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (8), (194) imply:
% 261.50/67.05 | (200) succ(n10) = all_4_46
% 261.50/67.05 |
% 261.50/67.05 | REDUCE: (104), (197) imply:
% 261.50/67.05 | (201) succ(n10) = all_4_43
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with n0, all_4_43, n10, simplifying with (49),
% 261.50/67.05 | (201) gives:
% 261.50/67.05 | (202) all_4_43 = n0
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (50) with all_4_46, all_4_43, n10, simplifying with
% 261.50/67.05 | (200), (201) gives:
% 261.50/67.05 | (203) all_4_43 = all_4_46
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with n9, all_4_44, n10, simplifying with
% 261.50/67.05 | (81), (198) gives:
% 261.50/67.05 | (204) all_4_44 = n9
% 261.50/67.05 |
% 261.50/67.05 | GROUND_INST: instantiating (100) with all_4_47, all_4_44, n10, simplifying
% 261.50/67.05 | with (198), (199) gives:
% 261.50/67.05 | (205) all_4_44 = all_4_47
% 261.50/67.05 |
% 261.50/67.05 | COMBINE_EQS: (202), (203) imply:
% 261.50/67.06 | (206) all_4_46 = n0
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (204), (205) imply:
% 261.50/67.06 | (207) all_4_47 = n9
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (80), (202), (204) imply:
% 261.50/67.06 | (208) sum(n9, n0) = all_4_42
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (13), (204), (206) imply:
% 261.50/67.06 | (209) sum(n9, n0) = all_4_40
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (41), (202), (207) imply:
% 261.50/67.06 | (210) sum(n9, n0) = all_4_41
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (64), (206), (207) imply:
% 261.50/67.06 | (211) sum(n9, n0) = all_4_45
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n9, all_4_41, n0, n9, simplifying with
% 261.50/67.06 | (16), (210) gives:
% 261.50/67.06 | (212) all_4_41 = n9
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_42, all_4_41, n0, n9, simplifying
% 261.50/67.06 | with (208), (210) gives:
% 261.50/67.06 | (213) all_4_41 = all_4_42
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_41, all_4_40, n0, n9, simplifying
% 261.50/67.06 | with (209), (210) gives:
% 261.50/67.06 | (214) all_4_40 = all_4_41
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_45, all_4_40, n0, n9, simplifying
% 261.50/67.06 | with (209), (211) gives:
% 261.50/67.06 | (215) all_4_40 = all_4_45
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (214), (215) imply:
% 261.50/67.06 | (216) all_4_41 = all_4_45
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (216) implies:
% 261.50/67.06 | (217) all_4_41 = all_4_45
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (212), (213) imply:
% 261.50/67.06 | (218) all_4_42 = n9
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (213), (217) imply:
% 261.50/67.06 | (219) all_4_42 = all_4_45
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (218), (219) imply:
% 261.50/67.06 | (220) all_4_45 = n9
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (220) implies:
% 261.50/67.06 | (221) all_4_45 = n9
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (215), (221) imply:
% 261.50/67.06 | (222) all_4_40 = n9
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (69), (212), (222) imply:
% 261.50/67.06 | (223) sum(n9, n9) = all_4_90
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (77), (218), (221) imply:
% 261.50/67.06 | (224) sum(n9, n9) = all_4_91
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n7, all_4_90, n9, n9, simplifying with
% 261.50/67.06 | (78), (223) gives:
% 261.50/67.06 | (225) all_4_90 = n7
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_91, all_4_90, n9, n9, simplifying
% 261.50/67.06 | with (223), (224) gives:
% 261.50/67.06 | (226) all_4_90 = all_4_91
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (225), (226) imply:
% 261.50/67.06 | (227) all_4_91 = n7
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (227) implies:
% 261.50/67.06 | (228) all_4_91 = n7
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (89), (225) imply:
% 261.50/67.06 | (229) pred(n7) = all_4_36
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (44), (228) imply:
% 261.50/67.06 | (230) pred(n7) = all_4_39
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (32), (225) imply:
% 261.50/67.06 | (231) succ(n7) = all_4_38
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (6), (228) imply:
% 261.50/67.06 | (232) succ(n7) = all_4_35
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with n8, all_4_35, n7, simplifying with (62),
% 261.50/67.06 | (232) gives:
% 261.50/67.06 | (233) all_4_35 = n8
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with all_4_38, all_4_35, n7, simplifying with
% 261.50/67.06 | (231), (232) gives:
% 261.50/67.06 | (234) all_4_35 = all_4_38
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with n6, all_4_36, n7, simplifying with (60),
% 261.50/67.06 | (229) gives:
% 261.50/67.06 | (235) all_4_36 = n6
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with all_4_39, all_4_36, n7, simplifying with
% 261.50/67.06 | (229), (230) gives:
% 261.50/67.06 | (236) all_4_36 = all_4_39
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (233), (234) imply:
% 261.50/67.06 | (237) all_4_38 = n8
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (235), (236) imply:
% 261.50/67.06 | (238) all_4_39 = n6
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (61), (233), (235) imply:
% 261.50/67.06 | (239) sum(n6, n8) = all_4_34
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (93), (235), (237) imply:
% 261.50/67.06 | (240) sum(n6, n8) = all_4_32
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (74), (233), (238) imply:
% 261.50/67.06 | (241) sum(n6, n8) = all_4_33
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (79), (237), (238) imply:
% 261.50/67.06 | (242) sum(n6, n8) = all_4_37
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n3, all_4_33, n8, n6, simplifying with
% 261.50/67.06 | (33), (241) gives:
% 261.50/67.06 | (243) all_4_33 = n3
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_34, all_4_33, n8, n6, simplifying
% 261.50/67.06 | with (239), (241) gives:
% 261.50/67.06 | (244) all_4_33 = all_4_34
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_33, all_4_32, n8, n6, simplifying
% 261.50/67.06 | with (240), (241) gives:
% 261.50/67.06 | (245) all_4_32 = all_4_33
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_37, all_4_32, n8, n6, simplifying
% 261.50/67.06 | with (240), (242) gives:
% 261.50/67.06 | (246) all_4_32 = all_4_37
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (245), (246) imply:
% 261.50/67.06 | (247) all_4_33 = all_4_37
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (247) implies:
% 261.50/67.06 | (248) all_4_33 = all_4_37
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (243), (244) imply:
% 261.50/67.06 | (249) all_4_34 = n3
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (244), (248) imply:
% 261.50/67.06 | (250) all_4_34 = all_4_37
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (249), (250) imply:
% 261.50/67.06 | (251) all_4_37 = n3
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (246), (251) imply:
% 261.50/67.06 | (252) all_4_32 = n3
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (40), (243), (252) imply:
% 261.50/67.06 | (253) sum(n3, n3) = all_4_88
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (27), (249), (251) imply:
% 261.50/67.06 | (254) sum(n3, n3) = all_4_89
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n6, all_4_88, n3, n3, simplifying with
% 261.50/67.06 | (111), (253) gives:
% 261.50/67.06 | (255) all_4_88 = n6
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_89, all_4_88, n3, n3, simplifying
% 261.50/67.06 | with (253), (254) gives:
% 261.50/67.06 | (256) all_4_88 = all_4_89
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (255), (256) imply:
% 261.50/67.06 | (257) all_4_89 = n6
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (34), (255) imply:
% 261.50/67.06 | (258) pred(n6) = all_4_28
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (45), (257) imply:
% 261.50/67.06 | (259) pred(n6) = all_4_31
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (56), (255) imply:
% 261.50/67.06 | (260) succ(n6) = all_4_30
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (11), (257) imply:
% 261.50/67.06 | (261) succ(n6) = all_4_27
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with n7, all_4_27, n6, simplifying with (72),
% 261.50/67.06 | (261) gives:
% 261.50/67.06 | (262) all_4_27 = n7
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with all_4_30, all_4_27, n6, simplifying with
% 261.50/67.06 | (260), (261) gives:
% 261.50/67.06 | (263) all_4_27 = all_4_30
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with n5, all_4_28, n6, simplifying with (53),
% 261.50/67.06 | (258) gives:
% 261.50/67.06 | (264) all_4_28 = n5
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with all_4_31, all_4_28, n6, simplifying with
% 261.50/67.06 | (258), (259) gives:
% 261.50/67.06 | (265) all_4_28 = all_4_31
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (262), (263) imply:
% 261.50/67.06 | (266) all_4_30 = n7
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (264), (265) imply:
% 261.50/67.06 | (267) all_4_31 = n5
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (1), (262), (264) imply:
% 261.50/67.06 | (268) sum(n5, n7) = all_4_26
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (14), (264), (266) imply:
% 261.50/67.06 | (269) sum(n5, n7) = all_4_24
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (24), (262), (267) imply:
% 261.50/67.06 | (270) sum(n5, n7) = all_4_25
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (38), (266), (267) imply:
% 261.50/67.06 | (271) sum(n5, n7) = all_4_29
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n1, all_4_25, n7, n5, simplifying with
% 261.50/67.06 | (47), (270) gives:
% 261.50/67.06 | (272) all_4_25 = n1
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_26, all_4_25, n7, n5, simplifying
% 261.50/67.06 | with (268), (270) gives:
% 261.50/67.06 | (273) all_4_25 = all_4_26
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_25, all_4_24, n7, n5, simplifying
% 261.50/67.06 | with (269), (270) gives:
% 261.50/67.06 | (274) all_4_24 = all_4_25
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_29, all_4_24, n7, n5, simplifying
% 261.50/67.06 | with (269), (271) gives:
% 261.50/67.06 | (275) all_4_24 = all_4_29
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (274), (275) imply:
% 261.50/67.06 | (276) all_4_25 = all_4_29
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (276) implies:
% 261.50/67.06 | (277) all_4_25 = all_4_29
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (272), (273) imply:
% 261.50/67.06 | (278) all_4_26 = n1
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (273), (277) imply:
% 261.50/67.06 | (279) all_4_26 = all_4_29
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (278), (279) imply:
% 261.50/67.06 | (280) all_4_29 = n1
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (275), (280) imply:
% 261.50/67.06 | (281) all_4_24 = n1
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (5), (272), (281) imply:
% 261.50/67.06 | (282) sum(n1, n1) = all_4_86
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (43), (278), (280) imply:
% 261.50/67.06 | (283) sum(n1, n1) = all_4_87
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n2, all_4_86, n1, n1, simplifying with
% 261.50/67.06 | (101), (282) gives:
% 261.50/67.06 | (284) all_4_86 = n2
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_87, all_4_86, n1, n1, simplifying
% 261.50/67.06 | with (282), (283) gives:
% 261.50/67.06 | (285) all_4_86 = all_4_87
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (284), (285) imply:
% 261.50/67.06 | (286) all_4_87 = n2
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (286) implies:
% 261.50/67.06 | (287) all_4_87 = n2
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (31), (284) imply:
% 261.50/67.06 | (288) pred(n2) = all_4_20
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (76), (287) imply:
% 261.50/67.06 | (289) pred(n2) = all_4_23
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (28), (284) imply:
% 261.50/67.06 | (290) succ(n2) = all_4_22
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (4), (287) imply:
% 261.50/67.06 | (291) succ(n2) = all_4_19
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with n3, all_4_19, n2, simplifying with (70),
% 261.50/67.06 | (291) gives:
% 261.50/67.06 | (292) all_4_19 = n3
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with all_4_22, all_4_19, n2, simplifying with
% 261.50/67.06 | (290), (291) gives:
% 261.50/67.06 | (293) all_4_19 = all_4_22
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with n1, all_4_20, n2, simplifying with (86),
% 261.50/67.06 | (288) gives:
% 261.50/67.06 | (294) all_4_20 = n1
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with all_4_23, all_4_20, n2, simplifying with
% 261.50/67.06 | (288), (289) gives:
% 261.50/67.06 | (295) all_4_20 = all_4_23
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (292), (293) imply:
% 261.50/67.06 | (296) all_4_22 = n3
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (294), (295) imply:
% 261.50/67.06 | (297) all_4_23 = n1
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (15), (292), (294) imply:
% 261.50/67.06 | (298) sum(n1, n3) = all_4_18
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (57), (294), (296) imply:
% 261.50/67.06 | (299) sum(n1, n3) = all_4_16
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (9), (292), (297) imply:
% 261.50/67.06 | (300) sum(n1, n3) = all_4_17
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (22), (296), (297) imply:
% 261.50/67.06 | (301) sum(n1, n3) = all_4_21
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n4, all_4_17, n3, n1, simplifying with
% 261.50/67.06 | (99), (300) gives:
% 261.50/67.06 | (302) all_4_17 = n4
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_18, all_4_17, n3, n1, simplifying
% 261.50/67.06 | with (298), (300) gives:
% 261.50/67.06 | (303) all_4_17 = all_4_18
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_17, all_4_16, n3, n1, simplifying
% 261.50/67.06 | with (299), (300) gives:
% 261.50/67.06 | (304) all_4_16 = all_4_17
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_21, all_4_16, n3, n1, simplifying
% 261.50/67.06 | with (299), (301) gives:
% 261.50/67.06 | (305) all_4_16 = all_4_21
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (304), (305) imply:
% 261.50/67.06 | (306) all_4_17 = all_4_21
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (306) implies:
% 261.50/67.06 | (307) all_4_17 = all_4_21
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (302), (303) imply:
% 261.50/67.06 | (308) all_4_18 = n4
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (303), (307) imply:
% 261.50/67.06 | (309) all_4_18 = all_4_21
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (308), (309) imply:
% 261.50/67.06 | (310) all_4_21 = n4
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (305), (310) imply:
% 261.50/67.06 | (311) all_4_16 = n4
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (84), (302), (311) imply:
% 261.50/67.06 | (312) sum(n4, n4) = all_4_84
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (7), (308), (310) imply:
% 261.50/67.06 | (313) sum(n4, n4) = all_4_85
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n8, all_4_84, n4, n4, simplifying with
% 261.50/67.06 | (90), (312) gives:
% 261.50/67.06 | (314) all_4_84 = n8
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_85, all_4_84, n4, n4, simplifying
% 261.50/67.06 | with (312), (313) gives:
% 261.50/67.06 | (315) all_4_84 = all_4_85
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (314), (315) imply:
% 261.50/67.06 | (316) all_4_85 = n8
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (316) implies:
% 261.50/67.06 | (317) all_4_85 = n8
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (94), (314) imply:
% 261.50/67.06 | (318) pred(n8) = all_4_12
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (36), (317) imply:
% 261.50/67.06 | (319) pred(n8) = all_4_15
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (2), (314) imply:
% 261.50/67.06 | (320) succ(n8) = all_4_14
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (96), (317) imply:
% 261.50/67.06 | (321) succ(n8) = all_4_11
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with n9, all_4_11, n8, simplifying with (73),
% 261.50/67.06 | (321) gives:
% 261.50/67.06 | (322) all_4_11 = n9
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (50) with all_4_14, all_4_11, n8, simplifying with
% 261.50/67.06 | (320), (321) gives:
% 261.50/67.06 | (323) all_4_11 = all_4_14
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with n7, all_4_12, n8, simplifying with (29),
% 261.50/67.06 | (318) gives:
% 261.50/67.06 | (324) all_4_12 = n7
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (100) with all_4_15, all_4_12, n8, simplifying with
% 261.50/67.06 | (318), (319) gives:
% 261.50/67.06 | (325) all_4_12 = all_4_15
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (322), (323) imply:
% 261.50/67.06 | (326) all_4_14 = n9
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (324), (325) imply:
% 261.50/67.06 | (327) all_4_15 = n7
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (58), (322), (324) imply:
% 261.50/67.06 | (328) sum(n7, n9) = all_4_10
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (42), (324), (326) imply:
% 261.50/67.06 | (329) sum(n7, n9) = all_4_8
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (63), (322), (327) imply:
% 261.50/67.06 | (330) sum(n7, n9) = all_4_9
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (37), (326), (327) imply:
% 261.50/67.06 | (331) sum(n7, n9) = all_4_13
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n5, all_4_9, n9, n7, simplifying with
% 261.50/67.06 | (83), (330) gives:
% 261.50/67.06 | (332) all_4_9 = n5
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_10, all_4_9, n9, n7, simplifying
% 261.50/67.06 | with (328), (330) gives:
% 261.50/67.06 | (333) all_4_9 = all_4_10
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_9, all_4_8, n9, n7, simplifying
% 261.50/67.06 | with (329), (330) gives:
% 261.50/67.06 | (334) all_4_8 = all_4_9
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_13, all_4_8, n9, n7, simplifying
% 261.50/67.06 | with (329), (331) gives:
% 261.50/67.06 | (335) all_4_8 = all_4_13
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (334), (335) imply:
% 261.50/67.06 | (336) all_4_9 = all_4_13
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (336) implies:
% 261.50/67.06 | (337) all_4_9 = all_4_13
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (332), (333) imply:
% 261.50/67.06 | (338) all_4_10 = n5
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (333), (337) imply:
% 261.50/67.06 | (339) all_4_10 = all_4_13
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (338), (339) imply:
% 261.50/67.06 | (340) all_4_13 = n5
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (335), (340) imply:
% 261.50/67.06 | (341) all_4_8 = n5
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (17), (332), (341) imply:
% 261.50/67.06 | (342) sum(n5, n5) = all_4_82
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (85), (338), (340) imply:
% 261.50/67.06 | (343) sum(n5, n5) = all_4_83
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with n10, all_4_82, n5, n5, simplifying with
% 261.50/67.06 | (68), (342) gives:
% 261.50/67.06 | (344) all_4_82 = n10
% 261.50/67.06 |
% 261.50/67.06 | GROUND_INST: instantiating (75) with all_4_83, all_4_82, n5, n5, simplifying
% 261.50/67.06 | with (342), (343) gives:
% 261.50/67.06 | (345) all_4_82 = all_4_83
% 261.50/67.06 |
% 261.50/67.06 | COMBINE_EQS: (344), (345) imply:
% 261.50/67.06 | (346) all_4_83 = n10
% 261.50/67.06 |
% 261.50/67.06 | SIMP: (346) implies:
% 261.50/67.06 | (347) all_4_83 = n10
% 261.50/67.06 |
% 261.50/67.06 | REDUCE: (10), (344), (347) imply:
% 261.50/67.06 | (348) $false
% 261.50/67.06 |
% 261.50/67.06 | CLOSE: (348) is inconsistent.
% 261.50/67.06 |
% 261.50/67.06 End of proof
% 261.50/67.06
% 261.50/67.06 Sub-proof #187 shows that the following formulas are inconsistent:
% 261.50/67.06 ----------------------------------------------------------------
% 261.50/67.06 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.50/67.06 (2) succ(all_4_84) = all_4_14
% 261.50/67.06 (3) succ(all_4_95) = all_4_51
% 261.50/67.06 (4) succ(all_4_87) = all_4_19
% 261.50/67.06 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.50/67.06 (6) succ(all_4_91) = all_4_35
% 261.50/67.06 (7) sum(all_4_21, all_4_18) = all_4_85
% 261.50/67.06 (8) succ(all_4_92) = all_4_46
% 261.50/67.06 (9) sum(all_4_23, all_4_19) = all_4_17
% 261.50/67.06 (10) ~ (all_4_82 = all_4_83)
% 261.50/67.06 (11) succ(all_4_89) = all_4_27
% 261.50/67.06 (12) pred(all_4_95) = all_4_55
% 261.50/67.06 (13) sum(all_4_44, all_4_46) = all_4_40
% 261.50/67.06 (14) sum(all_4_28, all_4_30) = all_4_24
% 261.50/67.06 (15) sum(all_4_20, all_4_19) = all_4_18
% 261.50/67.06 (16) sum(n9, n0) = n9
% 261.50/67.06 (17) sum(all_4_9, all_4_8) = all_4_82
% 261.50/67.06 (18) sum(all_4_52, all_4_54) = all_4_48
% 261.50/67.06 (19) sum(n3, n3) = n6
% 261.50/67.06 (20) sum(all_4_60, all_4_62) = all_4_56
% 261.50/67.06 (21) sum(all_4_71, all_4_70) = all_4_69
% 261.50/67.06 (22) sum(all_4_55, all_4_54) = all_4_53
% 261.50/67.06 (23) sum(all_4_23, all_4_22) = all_4_21
% 261.50/67.06 (24) sum(all_4_63, all_4_59) = all_4_57
% 261.50/67.06 (25) sum(all_4_31, all_4_27) = all_4_25
% 261.50/67.06 (26) sum(all_4_63, all_4_62) = all_4_61
% 261.50/67.06 (27) succ(all_4_94) = all_4_54
% 261.50/67.06 (28) sum(all_4_37, all_4_34) = all_4_89
% 261.50/67.06 (29) succ(all_4_86) = all_4_22
% 261.50/67.06 (30) pred(n8) = n7
% 261.50/67.06 (31) pred(all_4_99) = all_4_71
% 261.50/67.06 (32) pred(all_4_86) = all_4_20
% 261.50/67.06 (33) succ(all_4_90) = all_4_38
% 261.50/67.06 (34) sum(n6, n8) = n3
% 261.50/67.06 (35) pred(all_4_88) = all_4_28
% 261.50/67.06 (36) pred(all_4_85) = all_4_15
% 261.50/67.06 (37) sum(all_4_15, all_4_14) = all_4_13
% 261.50/67.06 (38) sum(all_4_31, all_4_30) = all_4_29
% 261.50/67.06 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.50/67.06 (40) sum(all_4_33, all_4_32) = all_4_88
% 261.50/67.06 (41) sum(all_4_47, all_4_43) = all_4_41
% 261.50/67.06 (42) sum(all_4_12, all_4_14) = all_4_8
% 261.50/67.06 (43) sum(all_4_29, all_4_26) = all_4_87
% 261.50/67.06 (44) pred(all_4_91) = all_4_39
% 261.50/67.06 (45) pred(all_4_89) = all_4_31
% 261.50/67.06 (46) pred(all_4_92) = all_4_44
% 261.50/67.06 (47) sum(n5, n7) = n1
% 261.50/67.06 (48) sum(all_4_65, all_4_64) = all_4_96
% 261.50/67.06 (49) succ(n10) = n0
% 261.50/67.06 (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.50/67.06 | ~ (succ(v2) = v0))
% 261.50/67.06 (51) pred(all_4_97) = all_4_63
% 261.50/67.06 (52) succ(all_4_99) = all_4_67
% 261.50/67.06 (53) pred(n6) = n5
% 261.50/67.06 (54) pred(all_4_96) = all_4_60
% 261.50/67.06 (55) succ(all_4_96) = all_4_62
% 261.50/67.06 (56) succ(all_4_88) = all_4_30
% 261.50/67.06 (57) sum(all_4_20, all_4_22) = all_4_16
% 261.50/67.06 (58) sum(all_4_12, all_4_11) = all_4_10
% 261.50/67.06 (59) sum(all_4_55, all_4_51) = all_4_49
% 261.50/67.06 (60) pred(n7) = n6
% 261.50/67.06 (61) sum(all_4_36, all_4_35) = all_4_34
% 261.50/67.06 (62) succ(n7) = n8
% 261.50/67.06 (63) sum(all_4_15, all_4_11) = all_4_9
% 261.50/67.06 (64) sum(all_4_47, all_4_46) = all_4_45
% 261.50/67.06 (65) pred(all_4_93) = all_4_47
% 261.50/67.06 (66) sum(all_4_71, all_4_67) = all_4_65
% 261.50/67.06 (67) sum(all_4_60, all_4_59) = all_4_58
% 261.50/67.06 (68) sum(n5, n5) = n10
% 261.50/67.06 (69) all_4_99 = n8
% 261.50/67.06 (70) sum(all_4_41, all_4_40) = all_4_90
% 261.50/67.06 (71) succ(n2) = n3
% 261.50/67.06 (72) sum(all_4_68, all_4_67) = all_4_66
% 261.50/67.06 (73) succ(n6) = n7
% 261.50/67.06 (74) succ(n8) = n9
% 261.50/67.06 (75) sum(all_4_39, all_4_35) = all_4_33
% 261.50/67.06 (76) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.50/67.06 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.50/67.06 (77) pred(all_4_87) = all_4_23
% 261.50/67.06 (78) sum(all_4_45, all_4_42) = all_4_91
% 261.50/67.06 (79) sum(n9, n9) = n7
% 261.50/67.06 (80) sum(all_4_39, all_4_38) = all_4_37
% 261.50/67.06 (81) sum(n4, n4) = all_4_99
% 261.50/67.07 (82) sum(all_4_44, all_4_43) = all_4_42
% 261.50/67.07 (83) pred(n10) = n9
% 261.50/67.07 (84) sum(all_4_69, all_4_66) = all_4_97
% 261.50/67.07 (85) sum(n7, n9) = n5
% 261.50/67.07 (86) sum(all_4_17, all_4_16) = all_4_84
% 261.50/67.07 (87) sum(all_4_13, all_4_10) = all_4_83
% 261.50/67.07 (88) pred(n2) = n1
% 261.50/67.07 (89) succ(all_4_98) = all_4_70
% 261.50/67.07 (90) all_4_98 = n8
% 261.50/67.07 (91) pred(all_4_90) = all_4_36
% 261.50/67.07 (92) sum(all_4_68, all_4_70) = all_4_64
% 261.50/67.07 (93) succ(all_4_97) = all_4_59
% 261.50/67.07 (94) sum(all_4_36, all_4_38) = all_4_32
% 261.50/67.07 (95) pred(all_4_84) = all_4_12
% 261.50/67.07 (96) sum(all_4_61, all_4_58) = all_4_95
% 261.50/67.07 (97) succ(all_4_85) = all_4_11
% 261.50/67.07 (98) sum(all_4_49, all_4_48) = all_4_92
% 261.50/67.07 (99) sum(n1, n3) = n4
% 261.50/67.07 (100) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.50/67.07 | ~ (pred(v2) = v0))
% 261.50/67.07 (101) sum(n1, n1) = n2
% 261.50/67.07 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.50/67.07 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.50/67.07 (104) succ(all_4_93) = all_4_43
% 261.50/67.07 (105) pred(all_4_98) = all_4_68
% 261.50/67.07 (106) pred(all_4_94) = all_4_52
% 261.50/67.07
% 261.50/67.07 Begin of proof
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (90), (105) imply:
% 261.50/67.07 | (107) pred(n8) = all_4_68
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (31), (69) imply:
% 261.50/67.07 | (108) pred(n8) = all_4_71
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (89), (90) imply:
% 261.50/67.07 | (109) succ(n8) = all_4_70
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (52), (69) imply:
% 261.50/67.07 | (110) succ(n8) = all_4_67
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (69), (81) imply:
% 261.50/67.07 | (111) sum(n4, n4) = n8
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n9, all_4_67, n8, simplifying with (74),
% 261.50/67.07 | (110) gives:
% 261.50/67.07 | (112) all_4_67 = n9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_70, all_4_67, n8, simplifying with
% 261.50/67.07 | (109), (110) gives:
% 261.50/67.07 | (113) all_4_67 = all_4_70
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n7, all_4_68, n8, simplifying with (30),
% 261.50/67.07 | (107) gives:
% 261.50/67.07 | (114) all_4_68 = n7
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_71, all_4_68, n8, simplifying with
% 261.50/67.07 | (107), (108) gives:
% 261.50/67.07 | (115) all_4_68 = all_4_71
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (112), (113) imply:
% 261.50/67.07 | (116) all_4_70 = n9
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (114), (115) imply:
% 261.50/67.07 | (117) all_4_71 = n7
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (72), (112), (114) imply:
% 261.50/67.07 | (118) sum(n7, n9) = all_4_66
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (92), (114), (116) imply:
% 261.50/67.07 | (119) sum(n7, n9) = all_4_64
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (66), (112), (117) imply:
% 261.50/67.07 | (120) sum(n7, n9) = all_4_65
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (21), (116), (117) imply:
% 261.50/67.07 | (121) sum(n7, n9) = all_4_69
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n5, all_4_65, n9, n7, simplifying with
% 261.50/67.07 | (85), (120) gives:
% 261.50/67.07 | (122) all_4_65 = n5
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_66, all_4_65, n9, n7, simplifying
% 261.50/67.07 | with (118), (120) gives:
% 261.50/67.07 | (123) all_4_65 = all_4_66
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_66, all_4_64, n9, n7, simplifying
% 261.50/67.07 | with (118), (119) gives:
% 261.50/67.07 | (124) all_4_64 = all_4_66
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_69, all_4_64, n9, n7, simplifying
% 261.50/67.07 | with (119), (121) gives:
% 261.50/67.07 | (125) all_4_64 = all_4_69
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (124), (125) imply:
% 261.50/67.07 | (126) all_4_66 = all_4_69
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (126) implies:
% 261.50/67.07 | (127) all_4_66 = all_4_69
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (122), (123) imply:
% 261.50/67.07 | (128) all_4_66 = n5
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (128) implies:
% 261.50/67.07 | (129) all_4_66 = n5
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (127), (129) imply:
% 261.50/67.07 | (130) all_4_69 = n5
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (125), (130) imply:
% 261.50/67.07 | (131) all_4_64 = n5
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (48), (122), (131) imply:
% 261.50/67.07 | (132) sum(n5, n5) = all_4_96
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (84), (129), (130) imply:
% 261.50/67.07 | (133) sum(n5, n5) = all_4_97
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n10, all_4_96, n5, n5, simplifying with
% 261.50/67.07 | (68), (132) gives:
% 261.50/67.07 | (134) all_4_96 = n10
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_97, all_4_96, n5, n5, simplifying
% 261.50/67.07 | with (132), (133) gives:
% 261.50/67.07 | (135) all_4_96 = all_4_97
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (134), (135) imply:
% 261.50/67.07 | (136) all_4_97 = n10
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (136) implies:
% 261.50/67.07 | (137) all_4_97 = n10
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (54), (134) imply:
% 261.50/67.07 | (138) pred(n10) = all_4_60
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (51), (137) imply:
% 261.50/67.07 | (139) pred(n10) = all_4_63
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (55), (134) imply:
% 261.50/67.07 | (140) succ(n10) = all_4_62
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (93), (137) imply:
% 261.50/67.07 | (141) succ(n10) = all_4_59
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n0, all_4_59, n10, simplifying with (49),
% 261.50/67.07 | (141) gives:
% 261.50/67.07 | (142) all_4_59 = n0
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_62, all_4_59, n10, simplifying with
% 261.50/67.07 | (140), (141) gives:
% 261.50/67.07 | (143) all_4_59 = all_4_62
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n9, all_4_60, n10, simplifying with
% 261.50/67.07 | (83), (138) gives:
% 261.50/67.07 | (144) all_4_60 = n9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_63, all_4_60, n10, simplifying
% 261.50/67.07 | with (138), (139) gives:
% 261.50/67.07 | (145) all_4_60 = all_4_63
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (142), (143) imply:
% 261.50/67.07 | (146) all_4_62 = n0
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (144), (145) imply:
% 261.50/67.07 | (147) all_4_63 = n9
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (67), (142), (144) imply:
% 261.50/67.07 | (148) sum(n9, n0) = all_4_58
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (20), (144), (146) imply:
% 261.50/67.07 | (149) sum(n9, n0) = all_4_56
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (24), (142), (147) imply:
% 261.50/67.07 | (150) sum(n9, n0) = all_4_57
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (26), (146), (147) imply:
% 261.50/67.07 | (151) sum(n9, n0) = all_4_61
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n9, all_4_57, n0, n9, simplifying with
% 261.50/67.07 | (16), (150) gives:
% 261.50/67.07 | (152) all_4_57 = n9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_58, all_4_57, n0, n9, simplifying
% 261.50/67.07 | with (148), (150) gives:
% 261.50/67.07 | (153) all_4_57 = all_4_58
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_57, all_4_56, n0, n9, simplifying
% 261.50/67.07 | with (149), (150) gives:
% 261.50/67.07 | (154) all_4_56 = all_4_57
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_61, all_4_56, n0, n9, simplifying
% 261.50/67.07 | with (149), (151) gives:
% 261.50/67.07 | (155) all_4_56 = all_4_61
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (154), (155) imply:
% 261.50/67.07 | (156) all_4_57 = all_4_61
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (156) implies:
% 261.50/67.07 | (157) all_4_57 = all_4_61
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (152), (153) imply:
% 261.50/67.07 | (158) all_4_58 = n9
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (153), (157) imply:
% 261.50/67.07 | (159) all_4_58 = all_4_61
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (158), (159) imply:
% 261.50/67.07 | (160) all_4_61 = n9
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (155), (160) imply:
% 261.50/67.07 | (161) all_4_56 = n9
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (39), (152), (161) imply:
% 261.50/67.07 | (162) sum(n9, n9) = all_4_94
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (96), (158), (160) imply:
% 261.50/67.07 | (163) sum(n9, n9) = all_4_95
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n7, all_4_94, n9, n9, simplifying with
% 261.50/67.07 | (79), (162) gives:
% 261.50/67.07 | (164) all_4_94 = n7
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_95, all_4_94, n9, n9, simplifying
% 261.50/67.07 | with (162), (163) gives:
% 261.50/67.07 | (165) all_4_94 = all_4_95
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (164), (165) imply:
% 261.50/67.07 | (166) all_4_95 = n7
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (106), (164) imply:
% 261.50/67.07 | (167) pred(n7) = all_4_52
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (12), (166) imply:
% 261.50/67.07 | (168) pred(n7) = all_4_55
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (27), (164) imply:
% 261.50/67.07 | (169) succ(n7) = all_4_54
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (3), (166) imply:
% 261.50/67.07 | (170) succ(n7) = all_4_51
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n8, all_4_51, n7, simplifying with (62),
% 261.50/67.07 | (170) gives:
% 261.50/67.07 | (171) all_4_51 = n8
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_54, all_4_51, n7, simplifying with
% 261.50/67.07 | (169), (170) gives:
% 261.50/67.07 | (172) all_4_51 = all_4_54
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n6, all_4_52, n7, simplifying with (60),
% 261.50/67.07 | (167) gives:
% 261.50/67.07 | (173) all_4_52 = n6
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_55, all_4_52, n7, simplifying with
% 261.50/67.07 | (167), (168) gives:
% 261.50/67.07 | (174) all_4_52 = all_4_55
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (171), (172) imply:
% 261.50/67.07 | (175) all_4_54 = n8
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (173), (174) imply:
% 261.50/67.07 | (176) all_4_55 = n6
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (176) implies:
% 261.50/67.07 | (177) all_4_55 = n6
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (102), (171), (173) imply:
% 261.50/67.07 | (178) sum(n6, n8) = all_4_50
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (18), (173), (175) imply:
% 261.50/67.07 | (179) sum(n6, n8) = all_4_48
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (59), (171), (177) imply:
% 261.50/67.07 | (180) sum(n6, n8) = all_4_49
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (22), (175), (177) imply:
% 261.50/67.07 | (181) sum(n6, n8) = all_4_53
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n3, all_4_49, n8, n6, simplifying with
% 261.50/67.07 | (34), (180) gives:
% 261.50/67.07 | (182) all_4_49 = n3
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_50, all_4_49, n8, n6, simplifying
% 261.50/67.07 | with (178), (180) gives:
% 261.50/67.07 | (183) all_4_49 = all_4_50
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_49, all_4_48, n8, n6, simplifying
% 261.50/67.07 | with (179), (180) gives:
% 261.50/67.07 | (184) all_4_48 = all_4_49
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_53, all_4_48, n8, n6, simplifying
% 261.50/67.07 | with (179), (181) gives:
% 261.50/67.07 | (185) all_4_48 = all_4_53
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (184), (185) imply:
% 261.50/67.07 | (186) all_4_49 = all_4_53
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (186) implies:
% 261.50/67.07 | (187) all_4_49 = all_4_53
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (182), (183) imply:
% 261.50/67.07 | (188) all_4_50 = n3
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (183), (187) imply:
% 261.50/67.07 | (189) all_4_50 = all_4_53
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (188), (189) imply:
% 261.50/67.07 | (190) all_4_53 = n3
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (185), (190) imply:
% 261.50/67.07 | (191) all_4_48 = n3
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (98), (182), (191) imply:
% 261.50/67.07 | (192) sum(n3, n3) = all_4_92
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (103), (188), (190) imply:
% 261.50/67.07 | (193) sum(n3, n3) = all_4_93
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n6, all_4_92, n3, n3, simplifying with
% 261.50/67.07 | (19), (192) gives:
% 261.50/67.07 | (194) all_4_92 = n6
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_93, all_4_92, n3, n3, simplifying
% 261.50/67.07 | with (192), (193) gives:
% 261.50/67.07 | (195) all_4_92 = all_4_93
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (194), (195) imply:
% 261.50/67.07 | (196) all_4_93 = n6
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (196) implies:
% 261.50/67.07 | (197) all_4_93 = n6
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (46), (194) imply:
% 261.50/67.07 | (198) pred(n6) = all_4_44
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (65), (197) imply:
% 261.50/67.07 | (199) pred(n6) = all_4_47
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (8), (194) imply:
% 261.50/67.07 | (200) succ(n6) = all_4_46
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (104), (197) imply:
% 261.50/67.07 | (201) succ(n6) = all_4_43
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n7, all_4_43, n6, simplifying with (73),
% 261.50/67.07 | (201) gives:
% 261.50/67.07 | (202) all_4_43 = n7
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_46, all_4_43, n6, simplifying with
% 261.50/67.07 | (200), (201) gives:
% 261.50/67.07 | (203) all_4_43 = all_4_46
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n5, all_4_44, n6, simplifying with (53),
% 261.50/67.07 | (198) gives:
% 261.50/67.07 | (204) all_4_44 = n5
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_47, all_4_44, n6, simplifying with
% 261.50/67.07 | (198), (199) gives:
% 261.50/67.07 | (205) all_4_44 = all_4_47
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (202), (203) imply:
% 261.50/67.07 | (206) all_4_46 = n7
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (204), (205) imply:
% 261.50/67.07 | (207) all_4_47 = n5
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (82), (202), (204) imply:
% 261.50/67.07 | (208) sum(n5, n7) = all_4_42
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (13), (204), (206) imply:
% 261.50/67.07 | (209) sum(n5, n7) = all_4_40
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (41), (202), (207) imply:
% 261.50/67.07 | (210) sum(n5, n7) = all_4_41
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (64), (206), (207) imply:
% 261.50/67.07 | (211) sum(n5, n7) = all_4_45
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n1, all_4_41, n7, n5, simplifying with
% 261.50/67.07 | (47), (210) gives:
% 261.50/67.07 | (212) all_4_41 = n1
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_42, all_4_41, n7, n5, simplifying
% 261.50/67.07 | with (208), (210) gives:
% 261.50/67.07 | (213) all_4_41 = all_4_42
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_41, all_4_40, n7, n5, simplifying
% 261.50/67.07 | with (209), (210) gives:
% 261.50/67.07 | (214) all_4_40 = all_4_41
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_45, all_4_40, n7, n5, simplifying
% 261.50/67.07 | with (209), (211) gives:
% 261.50/67.07 | (215) all_4_40 = all_4_45
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (214), (215) imply:
% 261.50/67.07 | (216) all_4_41 = all_4_45
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (216) implies:
% 261.50/67.07 | (217) all_4_41 = all_4_45
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (212), (213) imply:
% 261.50/67.07 | (218) all_4_42 = n1
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (213), (217) imply:
% 261.50/67.07 | (219) all_4_42 = all_4_45
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (218), (219) imply:
% 261.50/67.07 | (220) all_4_45 = n1
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (220) implies:
% 261.50/67.07 | (221) all_4_45 = n1
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (215), (221) imply:
% 261.50/67.07 | (222) all_4_40 = n1
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (70), (212), (222) imply:
% 261.50/67.07 | (223) sum(n1, n1) = all_4_90
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (78), (218), (221) imply:
% 261.50/67.07 | (224) sum(n1, n1) = all_4_91
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n2, all_4_90, n1, n1, simplifying with
% 261.50/67.07 | (101), (223) gives:
% 261.50/67.07 | (225) all_4_90 = n2
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_91, all_4_90, n1, n1, simplifying
% 261.50/67.07 | with (223), (224) gives:
% 261.50/67.07 | (226) all_4_90 = all_4_91
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (225), (226) imply:
% 261.50/67.07 | (227) all_4_91 = n2
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (227) implies:
% 261.50/67.07 | (228) all_4_91 = n2
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (91), (225) imply:
% 261.50/67.07 | (229) pred(n2) = all_4_36
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (44), (228) imply:
% 261.50/67.07 | (230) pred(n2) = all_4_39
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (33), (225) imply:
% 261.50/67.07 | (231) succ(n2) = all_4_38
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (6), (228) imply:
% 261.50/67.07 | (232) succ(n2) = all_4_35
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n3, all_4_35, n2, simplifying with (71),
% 261.50/67.07 | (232) gives:
% 261.50/67.07 | (233) all_4_35 = n3
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_38, all_4_35, n2, simplifying with
% 261.50/67.07 | (231), (232) gives:
% 261.50/67.07 | (234) all_4_35 = all_4_38
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n1, all_4_36, n2, simplifying with (88),
% 261.50/67.07 | (229) gives:
% 261.50/67.07 | (235) all_4_36 = n1
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_39, all_4_36, n2, simplifying with
% 261.50/67.07 | (229), (230) gives:
% 261.50/67.07 | (236) all_4_36 = all_4_39
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (233), (234) imply:
% 261.50/67.07 | (237) all_4_38 = n3
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (235), (236) imply:
% 261.50/67.07 | (238) all_4_39 = n1
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (61), (233), (235) imply:
% 261.50/67.07 | (239) sum(n1, n3) = all_4_34
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (94), (235), (237) imply:
% 261.50/67.07 | (240) sum(n1, n3) = all_4_32
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (75), (233), (238) imply:
% 261.50/67.07 | (241) sum(n1, n3) = all_4_33
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (80), (237), (238) imply:
% 261.50/67.07 | (242) sum(n1, n3) = all_4_37
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n4, all_4_33, n3, n1, simplifying with
% 261.50/67.07 | (99), (241) gives:
% 261.50/67.07 | (243) all_4_33 = n4
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_34, all_4_33, n3, n1, simplifying
% 261.50/67.07 | with (239), (241) gives:
% 261.50/67.07 | (244) all_4_33 = all_4_34
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_33, all_4_32, n3, n1, simplifying
% 261.50/67.07 | with (240), (241) gives:
% 261.50/67.07 | (245) all_4_32 = all_4_33
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_37, all_4_32, n3, n1, simplifying
% 261.50/67.07 | with (240), (242) gives:
% 261.50/67.07 | (246) all_4_32 = all_4_37
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (245), (246) imply:
% 261.50/67.07 | (247) all_4_33 = all_4_37
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (247) implies:
% 261.50/67.07 | (248) all_4_33 = all_4_37
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (243), (244) imply:
% 261.50/67.07 | (249) all_4_34 = n4
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (244), (248) imply:
% 261.50/67.07 | (250) all_4_34 = all_4_37
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (249), (250) imply:
% 261.50/67.07 | (251) all_4_37 = n4
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (246), (251) imply:
% 261.50/67.07 | (252) all_4_32 = n4
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (40), (243), (252) imply:
% 261.50/67.07 | (253) sum(n4, n4) = all_4_88
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (28), (249), (251) imply:
% 261.50/67.07 | (254) sum(n4, n4) = all_4_89
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n8, all_4_88, n4, n4, simplifying with
% 261.50/67.07 | (111), (253) gives:
% 261.50/67.07 | (255) all_4_88 = n8
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_89, all_4_88, n4, n4, simplifying
% 261.50/67.07 | with (253), (254) gives:
% 261.50/67.07 | (256) all_4_88 = all_4_89
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (255), (256) imply:
% 261.50/67.07 | (257) all_4_89 = n8
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (35), (255) imply:
% 261.50/67.07 | (258) pred(n8) = all_4_28
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (45), (257) imply:
% 261.50/67.07 | (259) pred(n8) = all_4_31
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (56), (255) imply:
% 261.50/67.07 | (260) succ(n8) = all_4_30
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (11), (257) imply:
% 261.50/67.07 | (261) succ(n8) = all_4_27
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n9, all_4_27, n8, simplifying with (74),
% 261.50/67.07 | (261) gives:
% 261.50/67.07 | (262) all_4_27 = n9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_30, all_4_27, n8, simplifying with
% 261.50/67.07 | (260), (261) gives:
% 261.50/67.07 | (263) all_4_27 = all_4_30
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n7, all_4_28, n8, simplifying with (30),
% 261.50/67.07 | (258) gives:
% 261.50/67.07 | (264) all_4_28 = n7
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_31, all_4_28, n8, simplifying with
% 261.50/67.07 | (258), (259) gives:
% 261.50/67.07 | (265) all_4_28 = all_4_31
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (262), (263) imply:
% 261.50/67.07 | (266) all_4_30 = n9
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (264), (265) imply:
% 261.50/67.07 | (267) all_4_31 = n7
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (1), (262), (264) imply:
% 261.50/67.07 | (268) sum(n7, n9) = all_4_26
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (14), (264), (266) imply:
% 261.50/67.07 | (269) sum(n7, n9) = all_4_24
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (25), (262), (267) imply:
% 261.50/67.07 | (270) sum(n7, n9) = all_4_25
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (38), (266), (267) imply:
% 261.50/67.07 | (271) sum(n7, n9) = all_4_29
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n5, all_4_25, n9, n7, simplifying with
% 261.50/67.07 | (85), (270) gives:
% 261.50/67.07 | (272) all_4_25 = n5
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_26, all_4_25, n9, n7, simplifying
% 261.50/67.07 | with (268), (270) gives:
% 261.50/67.07 | (273) all_4_25 = all_4_26
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_25, all_4_24, n9, n7, simplifying
% 261.50/67.07 | with (269), (270) gives:
% 261.50/67.07 | (274) all_4_24 = all_4_25
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_29, all_4_24, n9, n7, simplifying
% 261.50/67.07 | with (269), (271) gives:
% 261.50/67.07 | (275) all_4_24 = all_4_29
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (274), (275) imply:
% 261.50/67.07 | (276) all_4_25 = all_4_29
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (276) implies:
% 261.50/67.07 | (277) all_4_25 = all_4_29
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (272), (273) imply:
% 261.50/67.07 | (278) all_4_26 = n5
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (273), (277) imply:
% 261.50/67.07 | (279) all_4_26 = all_4_29
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (278), (279) imply:
% 261.50/67.07 | (280) all_4_29 = n5
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (275), (280) imply:
% 261.50/67.07 | (281) all_4_24 = n5
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (5), (272), (281) imply:
% 261.50/67.07 | (282) sum(n5, n5) = all_4_86
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (43), (278), (280) imply:
% 261.50/67.07 | (283) sum(n5, n5) = all_4_87
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n10, all_4_86, n5, n5, simplifying with
% 261.50/67.07 | (68), (282) gives:
% 261.50/67.07 | (284) all_4_86 = n10
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_87, all_4_86, n5, n5, simplifying
% 261.50/67.07 | with (282), (283) gives:
% 261.50/67.07 | (285) all_4_86 = all_4_87
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (284), (285) imply:
% 261.50/67.07 | (286) all_4_87 = n10
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (286) implies:
% 261.50/67.07 | (287) all_4_87 = n10
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (32), (284) imply:
% 261.50/67.07 | (288) pred(n10) = all_4_20
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (77), (287) imply:
% 261.50/67.07 | (289) pred(n10) = all_4_23
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (29), (284) imply:
% 261.50/67.07 | (290) succ(n10) = all_4_22
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (4), (287) imply:
% 261.50/67.07 | (291) succ(n10) = all_4_19
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n0, all_4_19, n10, simplifying with (49),
% 261.50/67.07 | (291) gives:
% 261.50/67.07 | (292) all_4_19 = n0
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_22, all_4_19, n10, simplifying with
% 261.50/67.07 | (290), (291) gives:
% 261.50/67.07 | (293) all_4_19 = all_4_22
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n9, all_4_20, n10, simplifying with
% 261.50/67.07 | (83), (288) gives:
% 261.50/67.07 | (294) all_4_20 = n9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_23, all_4_20, n10, simplifying
% 261.50/67.07 | with (288), (289) gives:
% 261.50/67.07 | (295) all_4_20 = all_4_23
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (292), (293) imply:
% 261.50/67.07 | (296) all_4_22 = n0
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (294), (295) imply:
% 261.50/67.07 | (297) all_4_23 = n9
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (15), (292), (294) imply:
% 261.50/67.07 | (298) sum(n9, n0) = all_4_18
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (57), (294), (296) imply:
% 261.50/67.07 | (299) sum(n9, n0) = all_4_16
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (9), (292), (297) imply:
% 261.50/67.07 | (300) sum(n9, n0) = all_4_17
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (23), (296), (297) imply:
% 261.50/67.07 | (301) sum(n9, n0) = all_4_21
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n9, all_4_17, n0, n9, simplifying with
% 261.50/67.07 | (16), (300) gives:
% 261.50/67.07 | (302) all_4_17 = n9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_18, all_4_17, n0, n9, simplifying
% 261.50/67.07 | with (298), (300) gives:
% 261.50/67.07 | (303) all_4_17 = all_4_18
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_17, all_4_16, n0, n9, simplifying
% 261.50/67.07 | with (299), (300) gives:
% 261.50/67.07 | (304) all_4_16 = all_4_17
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_21, all_4_16, n0, n9, simplifying
% 261.50/67.07 | with (299), (301) gives:
% 261.50/67.07 | (305) all_4_16 = all_4_21
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (304), (305) imply:
% 261.50/67.07 | (306) all_4_17 = all_4_21
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (306) implies:
% 261.50/67.07 | (307) all_4_17 = all_4_21
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (302), (303) imply:
% 261.50/67.07 | (308) all_4_18 = n9
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (303), (307) imply:
% 261.50/67.07 | (309) all_4_18 = all_4_21
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (308), (309) imply:
% 261.50/67.07 | (310) all_4_21 = n9
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (305), (310) imply:
% 261.50/67.07 | (311) all_4_16 = n9
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (86), (302), (311) imply:
% 261.50/67.07 | (312) sum(n9, n9) = all_4_84
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (7), (308), (310) imply:
% 261.50/67.07 | (313) sum(n9, n9) = all_4_85
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n7, all_4_84, n9, n9, simplifying with
% 261.50/67.07 | (79), (312) gives:
% 261.50/67.07 | (314) all_4_84 = n7
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_85, all_4_84, n9, n9, simplifying
% 261.50/67.07 | with (312), (313) gives:
% 261.50/67.07 | (315) all_4_84 = all_4_85
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (314), (315) imply:
% 261.50/67.07 | (316) all_4_85 = n7
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (316) implies:
% 261.50/67.07 | (317) all_4_85 = n7
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (95), (314) imply:
% 261.50/67.07 | (318) pred(n7) = all_4_12
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (36), (317) imply:
% 261.50/67.07 | (319) pred(n7) = all_4_15
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (2), (314) imply:
% 261.50/67.07 | (320) succ(n7) = all_4_14
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (97), (317) imply:
% 261.50/67.07 | (321) succ(n7) = all_4_11
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with n8, all_4_11, n7, simplifying with (62),
% 261.50/67.07 | (321) gives:
% 261.50/67.07 | (322) all_4_11 = n8
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (50) with all_4_14, all_4_11, n7, simplifying with
% 261.50/67.07 | (320), (321) gives:
% 261.50/67.07 | (323) all_4_11 = all_4_14
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with n6, all_4_12, n7, simplifying with (60),
% 261.50/67.07 | (318) gives:
% 261.50/67.07 | (324) all_4_12 = n6
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (100) with all_4_15, all_4_12, n7, simplifying with
% 261.50/67.07 | (318), (319) gives:
% 261.50/67.07 | (325) all_4_12 = all_4_15
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (322), (323) imply:
% 261.50/67.07 | (326) all_4_14 = n8
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (324), (325) imply:
% 261.50/67.07 | (327) all_4_15 = n6
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (58), (322), (324) imply:
% 261.50/67.07 | (328) sum(n6, n8) = all_4_10
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (42), (324), (326) imply:
% 261.50/67.07 | (329) sum(n6, n8) = all_4_8
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (63), (322), (327) imply:
% 261.50/67.07 | (330) sum(n6, n8) = all_4_9
% 261.50/67.07 |
% 261.50/67.07 | REDUCE: (37), (326), (327) imply:
% 261.50/67.07 | (331) sum(n6, n8) = all_4_13
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with n3, all_4_9, n8, n6, simplifying with
% 261.50/67.07 | (34), (330) gives:
% 261.50/67.07 | (332) all_4_9 = n3
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_10, all_4_9, n8, n6, simplifying
% 261.50/67.07 | with (328), (330) gives:
% 261.50/67.07 | (333) all_4_9 = all_4_10
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_9, all_4_8, n8, n6, simplifying
% 261.50/67.07 | with (329), (330) gives:
% 261.50/67.07 | (334) all_4_8 = all_4_9
% 261.50/67.07 |
% 261.50/67.07 | GROUND_INST: instantiating (76) with all_4_13, all_4_8, n8, n6, simplifying
% 261.50/67.07 | with (329), (331) gives:
% 261.50/67.07 | (335) all_4_8 = all_4_13
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (334), (335) imply:
% 261.50/67.07 | (336) all_4_9 = all_4_13
% 261.50/67.07 |
% 261.50/67.07 | SIMP: (336) implies:
% 261.50/67.07 | (337) all_4_9 = all_4_13
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (332), (333) imply:
% 261.50/67.07 | (338) all_4_10 = n3
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (333), (337) imply:
% 261.50/67.07 | (339) all_4_10 = all_4_13
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (338), (339) imply:
% 261.50/67.07 | (340) all_4_13 = n3
% 261.50/67.07 |
% 261.50/67.07 | COMBINE_EQS: (335), (340) imply:
% 261.50/67.07 | (341) all_4_8 = n3
% 261.50/67.07 |
% 261.50/67.08 | REDUCE: (17), (332), (341) imply:
% 261.50/67.08 | (342) sum(n3, n3) = all_4_82
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (87), (338), (340) imply:
% 261.50/67.08 | (343) sum(n3, n3) = all_4_83
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (76) with n6, all_4_82, n3, n3, simplifying with
% 261.50/67.08 | (19), (342) gives:
% 261.50/67.08 | (344) all_4_82 = n6
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (76) with all_4_83, all_4_82, n3, n3, simplifying
% 261.50/67.08 | with (342), (343) gives:
% 261.50/67.08 | (345) all_4_82 = all_4_83
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (344), (345) imply:
% 261.50/67.08 | (346) all_4_83 = n6
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (346) implies:
% 261.50/67.08 | (347) all_4_83 = n6
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (10), (344), (347) imply:
% 261.50/67.08 | (348) $false
% 261.50/67.08 |
% 261.50/67.08 | CLOSE: (348) is inconsistent.
% 261.50/67.08 |
% 261.50/67.08 End of proof
% 261.50/67.08
% 261.50/67.08 Sub-proof #188 shows that the following formulas are inconsistent:
% 261.50/67.08 ----------------------------------------------------------------
% 261.50/67.08 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.50/67.08 (2) succ(all_4_84) = all_4_14
% 261.50/67.08 (3) succ(all_4_95) = all_4_51
% 261.50/67.08 (4) succ(all_4_87) = all_4_19
% 261.50/67.08 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.50/67.08 (6) succ(all_4_91) = all_4_35
% 261.50/67.08 (7) sum(all_4_21, all_4_18) = all_4_85
% 261.50/67.08 (8) succ(all_4_92) = all_4_46
% 261.50/67.08 (9) sum(all_4_23, all_4_19) = all_4_17
% 261.50/67.08 (10) ~ (all_4_82 = all_4_83)
% 261.50/67.08 (11) succ(all_4_89) = all_4_27
% 261.50/67.08 (12) pred(all_4_95) = all_4_55
% 261.50/67.08 (13) sum(all_4_44, all_4_46) = all_4_40
% 261.50/67.08 (14) sum(all_4_28, all_4_30) = all_4_24
% 261.50/67.08 (15) sum(all_4_20, all_4_19) = all_4_18
% 261.50/67.08 (16) sum(n9, n0) = n9
% 261.50/67.08 (17) sum(all_4_9, all_4_8) = all_4_82
% 261.50/67.08 (18) sum(all_4_52, all_4_54) = all_4_48
% 261.50/67.08 (19) sum(n3, n3) = n6
% 261.50/67.08 (20) sum(all_4_60, all_4_62) = all_4_56
% 261.50/67.08 (21) sum(all_4_71, all_4_70) = all_4_69
% 261.50/67.08 (22) sum(all_4_55, all_4_54) = all_4_53
% 261.50/67.08 (23) sum(all_4_23, all_4_22) = all_4_21
% 261.50/67.08 (24) sum(all_4_63, all_4_59) = all_4_57
% 261.50/67.08 (25) sum(all_4_31, all_4_27) = all_4_25
% 261.50/67.08 (26) sum(all_4_63, all_4_62) = all_4_61
% 261.50/67.08 (27) succ(all_4_94) = all_4_54
% 261.50/67.08 (28) sum(all_4_37, all_4_34) = all_4_89
% 261.50/67.08 (29) succ(all_4_86) = all_4_22
% 261.50/67.08 (30) pred(n8) = n7
% 261.50/67.08 (31) pred(all_4_99) = all_4_71
% 261.50/67.08 (32) pred(all_4_86) = all_4_20
% 261.50/67.08 (33) succ(all_4_90) = all_4_38
% 261.50/67.08 (34) sum(n6, n8) = n3
% 261.50/67.08 (35) pred(all_4_88) = all_4_28
% 261.50/67.08 (36) pred(all_4_85) = all_4_15
% 261.50/67.08 (37) sum(all_4_15, all_4_14) = all_4_13
% 261.50/67.08 (38) sum(all_4_31, all_4_30) = all_4_29
% 261.50/67.08 (39) sum(all_4_57, all_4_56) = all_4_94
% 261.50/67.08 (40) sum(all_4_33, all_4_32) = all_4_88
% 261.50/67.08 (41) sum(all_4_47, all_4_43) = all_4_41
% 261.50/67.08 (42) all_4_99 = n10
% 261.50/67.08 (43) sum(all_4_12, all_4_14) = all_4_8
% 261.50/67.08 (44) sum(all_4_29, all_4_26) = all_4_87
% 261.50/67.08 (45) pred(all_4_91) = all_4_39
% 261.50/67.08 (46) pred(all_4_89) = all_4_31
% 261.50/67.08 (47) pred(all_4_92) = all_4_44
% 261.50/67.08 (48) sum(n5, n7) = n1
% 261.50/67.08 (49) sum(all_4_65, all_4_64) = all_4_96
% 261.50/67.08 (50) succ(n10) = n0
% 261.50/67.08 (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.50/67.08 | ~ (succ(v2) = v0))
% 261.50/67.08 (52) pred(all_4_97) = all_4_63
% 261.50/67.08 (53) succ(all_4_99) = all_4_67
% 261.50/67.08 (54) pred(n6) = n5
% 261.50/67.08 (55) pred(all_4_96) = all_4_60
% 261.50/67.08 (56) succ(all_4_96) = all_4_62
% 261.50/67.08 (57) succ(all_4_88) = all_4_30
% 261.50/67.08 (58) sum(all_4_20, all_4_22) = all_4_16
% 261.50/67.08 (59) sum(all_4_12, all_4_11) = all_4_10
% 261.50/67.08 (60) sum(all_4_55, all_4_51) = all_4_49
% 261.50/67.08 (61) pred(n7) = n6
% 261.50/67.08 (62) sum(all_4_36, all_4_35) = all_4_34
% 261.50/67.08 (63) succ(n7) = n8
% 261.50/67.08 (64) sum(all_4_15, all_4_11) = all_4_9
% 261.50/67.08 (65) sum(all_4_47, all_4_46) = all_4_45
% 261.50/67.08 (66) pred(all_4_93) = all_4_47
% 261.50/67.08 (67) sum(all_4_71, all_4_67) = all_4_65
% 261.50/67.08 (68) sum(n5, n5) = all_4_99
% 261.50/67.08 (69) sum(all_4_60, all_4_59) = all_4_58
% 261.50/67.08 (70) all_4_98 = n10
% 261.50/67.08 (71) sum(all_4_41, all_4_40) = all_4_90
% 261.50/67.08 (72) succ(n2) = n3
% 261.50/67.08 (73) sum(all_4_68, all_4_67) = all_4_66
% 261.50/67.08 (74) succ(n6) = n7
% 261.50/67.08 (75) succ(n8) = n9
% 261.50/67.08 (76) sum(all_4_39, all_4_35) = all_4_33
% 261.50/67.08 (77) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.50/67.08 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.50/67.08 (78) pred(all_4_87) = all_4_23
% 261.50/67.08 (79) sum(all_4_45, all_4_42) = all_4_91
% 261.50/67.08 (80) sum(n9, n9) = n7
% 261.50/67.08 (81) sum(all_4_39, all_4_38) = all_4_37
% 261.50/67.08 (82) sum(all_4_44, all_4_43) = all_4_42
% 261.50/67.08 (83) pred(n10) = n9
% 261.50/67.08 (84) sum(all_4_69, all_4_66) = all_4_97
% 261.50/67.08 (85) sum(n7, n9) = n5
% 261.50/67.08 (86) sum(all_4_17, all_4_16) = all_4_84
% 261.50/67.08 (87) sum(all_4_13, all_4_10) = all_4_83
% 261.50/67.08 (88) pred(n2) = n1
% 261.50/67.08 (89) succ(all_4_98) = all_4_70
% 261.50/67.08 (90) pred(all_4_90) = all_4_36
% 261.50/67.08 (91) sum(n4, n4) = n8
% 261.50/67.08 (92) sum(all_4_68, all_4_70) = all_4_64
% 261.50/67.08 (93) succ(all_4_97) = all_4_59
% 261.50/67.08 (94) sum(all_4_36, all_4_38) = all_4_32
% 261.50/67.08 (95) pred(all_4_84) = all_4_12
% 261.50/67.08 (96) sum(all_4_61, all_4_58) = all_4_95
% 261.50/67.08 (97) succ(all_4_85) = all_4_11
% 261.50/67.08 (98) sum(all_4_49, all_4_48) = all_4_92
% 261.50/67.08 (99) sum(n1, n3) = n4
% 261.50/67.08 (100) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.50/67.08 | ~ (pred(v2) = v0))
% 261.50/67.08 (101) sum(n1, n1) = n2
% 261.50/67.08 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.50/67.08 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.50/67.08 (104) succ(all_4_93) = all_4_43
% 261.50/67.08 (105) pred(all_4_98) = all_4_68
% 261.50/67.08 (106) pred(all_4_94) = all_4_52
% 261.50/67.08
% 261.50/67.08 Begin of proof
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (70), (105) imply:
% 261.50/67.08 | (107) pred(n10) = all_4_68
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (31), (42) imply:
% 261.50/67.08 | (108) pred(n10) = all_4_71
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (70), (89) imply:
% 261.50/67.08 | (109) succ(n10) = all_4_70
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (42), (53) imply:
% 261.50/67.08 | (110) succ(n10) = all_4_67
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (42), (68) imply:
% 261.50/67.08 | (111) sum(n5, n5) = n10
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n0, all_4_67, n10, simplifying with (50),
% 261.50/67.08 | (110) gives:
% 261.50/67.08 | (112) all_4_67 = n0
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with all_4_70, all_4_67, n10, simplifying with
% 261.50/67.08 | (109), (110) gives:
% 261.50/67.08 | (113) all_4_67 = all_4_70
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with n9, all_4_68, n10, simplifying with
% 261.50/67.08 | (83), (107) gives:
% 261.50/67.08 | (114) all_4_68 = n9
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with all_4_71, all_4_68, n10, simplifying
% 261.50/67.08 | with (107), (108) gives:
% 261.50/67.08 | (115) all_4_68 = all_4_71
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (112), (113) imply:
% 261.50/67.08 | (116) all_4_70 = n0
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (114), (115) imply:
% 261.50/67.08 | (117) all_4_71 = n9
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (73), (112), (114) imply:
% 261.50/67.08 | (118) sum(n9, n0) = all_4_66
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (92), (114), (116) imply:
% 261.50/67.08 | (119) sum(n9, n0) = all_4_64
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (67), (112), (117) imply:
% 261.50/67.08 | (120) sum(n9, n0) = all_4_65
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (21), (116), (117) imply:
% 261.50/67.08 | (121) sum(n9, n0) = all_4_69
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n9, all_4_65, n0, n9, simplifying with
% 261.50/67.08 | (16), (120) gives:
% 261.50/67.08 | (122) all_4_65 = n9
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_66, all_4_65, n0, n9, simplifying
% 261.50/67.08 | with (118), (120) gives:
% 261.50/67.08 | (123) all_4_65 = all_4_66
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_66, all_4_64, n0, n9, simplifying
% 261.50/67.08 | with (118), (119) gives:
% 261.50/67.08 | (124) all_4_64 = all_4_66
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_69, all_4_64, n0, n9, simplifying
% 261.50/67.08 | with (119), (121) gives:
% 261.50/67.08 | (125) all_4_64 = all_4_69
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (124), (125) imply:
% 261.50/67.08 | (126) all_4_66 = all_4_69
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (126) implies:
% 261.50/67.08 | (127) all_4_66 = all_4_69
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (122), (123) imply:
% 261.50/67.08 | (128) all_4_66 = n9
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (128) implies:
% 261.50/67.08 | (129) all_4_66 = n9
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (127), (129) imply:
% 261.50/67.08 | (130) all_4_69 = n9
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (125), (130) imply:
% 261.50/67.08 | (131) all_4_64 = n9
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (49), (122), (131) imply:
% 261.50/67.08 | (132) sum(n9, n9) = all_4_96
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (84), (129), (130) imply:
% 261.50/67.08 | (133) sum(n9, n9) = all_4_97
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n7, all_4_96, n9, n9, simplifying with
% 261.50/67.08 | (80), (132) gives:
% 261.50/67.08 | (134) all_4_96 = n7
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_97, all_4_96, n9, n9, simplifying
% 261.50/67.08 | with (132), (133) gives:
% 261.50/67.08 | (135) all_4_96 = all_4_97
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (134), (135) imply:
% 261.50/67.08 | (136) all_4_97 = n7
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (136) implies:
% 261.50/67.08 | (137) all_4_97 = n7
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (55), (134) imply:
% 261.50/67.08 | (138) pred(n7) = all_4_60
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (52), (137) imply:
% 261.50/67.08 | (139) pred(n7) = all_4_63
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (56), (134) imply:
% 261.50/67.08 | (140) succ(n7) = all_4_62
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (93), (137) imply:
% 261.50/67.08 | (141) succ(n7) = all_4_59
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n8, all_4_59, n7, simplifying with (63),
% 261.50/67.08 | (141) gives:
% 261.50/67.08 | (142) all_4_59 = n8
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with all_4_62, all_4_59, n7, simplifying with
% 261.50/67.08 | (140), (141) gives:
% 261.50/67.08 | (143) all_4_59 = all_4_62
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with n6, all_4_60, n7, simplifying with (61),
% 261.50/67.08 | (138) gives:
% 261.50/67.08 | (144) all_4_60 = n6
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with all_4_63, all_4_60, n7, simplifying with
% 261.50/67.08 | (138), (139) gives:
% 261.50/67.08 | (145) all_4_60 = all_4_63
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (142), (143) imply:
% 261.50/67.08 | (146) all_4_62 = n8
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (144), (145) imply:
% 261.50/67.08 | (147) all_4_63 = n6
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (69), (142), (144) imply:
% 261.50/67.08 | (148) sum(n6, n8) = all_4_58
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (20), (144), (146) imply:
% 261.50/67.08 | (149) sum(n6, n8) = all_4_56
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (24), (142), (147) imply:
% 261.50/67.08 | (150) sum(n6, n8) = all_4_57
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (26), (146), (147) imply:
% 261.50/67.08 | (151) sum(n6, n8) = all_4_61
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n3, all_4_57, n8, n6, simplifying with
% 261.50/67.08 | (34), (150) gives:
% 261.50/67.08 | (152) all_4_57 = n3
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_58, all_4_57, n8, n6, simplifying
% 261.50/67.08 | with (148), (150) gives:
% 261.50/67.08 | (153) all_4_57 = all_4_58
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_57, all_4_56, n8, n6, simplifying
% 261.50/67.08 | with (149), (150) gives:
% 261.50/67.08 | (154) all_4_56 = all_4_57
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_61, all_4_56, n8, n6, simplifying
% 261.50/67.08 | with (149), (151) gives:
% 261.50/67.08 | (155) all_4_56 = all_4_61
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (154), (155) imply:
% 261.50/67.08 | (156) all_4_57 = all_4_61
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (156) implies:
% 261.50/67.08 | (157) all_4_57 = all_4_61
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (152), (153) imply:
% 261.50/67.08 | (158) all_4_58 = n3
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (153), (157) imply:
% 261.50/67.08 | (159) all_4_58 = all_4_61
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (158), (159) imply:
% 261.50/67.08 | (160) all_4_61 = n3
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (155), (160) imply:
% 261.50/67.08 | (161) all_4_56 = n3
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (39), (152), (161) imply:
% 261.50/67.08 | (162) sum(n3, n3) = all_4_94
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (96), (158), (160) imply:
% 261.50/67.08 | (163) sum(n3, n3) = all_4_95
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n6, all_4_94, n3, n3, simplifying with
% 261.50/67.08 | (19), (162) gives:
% 261.50/67.08 | (164) all_4_94 = n6
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_95, all_4_94, n3, n3, simplifying
% 261.50/67.08 | with (162), (163) gives:
% 261.50/67.08 | (165) all_4_94 = all_4_95
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (164), (165) imply:
% 261.50/67.08 | (166) all_4_95 = n6
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (106), (164) imply:
% 261.50/67.08 | (167) pred(n6) = all_4_52
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (12), (166) imply:
% 261.50/67.08 | (168) pred(n6) = all_4_55
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (27), (164) imply:
% 261.50/67.08 | (169) succ(n6) = all_4_54
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (3), (166) imply:
% 261.50/67.08 | (170) succ(n6) = all_4_51
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n7, all_4_51, n6, simplifying with (74),
% 261.50/67.08 | (170) gives:
% 261.50/67.08 | (171) all_4_51 = n7
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with all_4_54, all_4_51, n6, simplifying with
% 261.50/67.08 | (169), (170) gives:
% 261.50/67.08 | (172) all_4_51 = all_4_54
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with n5, all_4_52, n6, simplifying with (54),
% 261.50/67.08 | (167) gives:
% 261.50/67.08 | (173) all_4_52 = n5
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with all_4_55, all_4_52, n6, simplifying with
% 261.50/67.08 | (167), (168) gives:
% 261.50/67.08 | (174) all_4_52 = all_4_55
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (171), (172) imply:
% 261.50/67.08 | (175) all_4_54 = n7
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (173), (174) imply:
% 261.50/67.08 | (176) all_4_55 = n5
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (176) implies:
% 261.50/67.08 | (177) all_4_55 = n5
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (102), (171), (173) imply:
% 261.50/67.08 | (178) sum(n5, n7) = all_4_50
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (18), (173), (175) imply:
% 261.50/67.08 | (179) sum(n5, n7) = all_4_48
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (60), (171), (177) imply:
% 261.50/67.08 | (180) sum(n5, n7) = all_4_49
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (22), (175), (177) imply:
% 261.50/67.08 | (181) sum(n5, n7) = all_4_53
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n1, all_4_49, n7, n5, simplifying with
% 261.50/67.08 | (48), (180) gives:
% 261.50/67.08 | (182) all_4_49 = n1
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_50, all_4_49, n7, n5, simplifying
% 261.50/67.08 | with (178), (180) gives:
% 261.50/67.08 | (183) all_4_49 = all_4_50
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_49, all_4_48, n7, n5, simplifying
% 261.50/67.08 | with (179), (180) gives:
% 261.50/67.08 | (184) all_4_48 = all_4_49
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_53, all_4_48, n7, n5, simplifying
% 261.50/67.08 | with (179), (181) gives:
% 261.50/67.08 | (185) all_4_48 = all_4_53
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (184), (185) imply:
% 261.50/67.08 | (186) all_4_49 = all_4_53
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (186) implies:
% 261.50/67.08 | (187) all_4_49 = all_4_53
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (182), (183) imply:
% 261.50/67.08 | (188) all_4_50 = n1
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (183), (187) imply:
% 261.50/67.08 | (189) all_4_50 = all_4_53
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (188), (189) imply:
% 261.50/67.08 | (190) all_4_53 = n1
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (185), (190) imply:
% 261.50/67.08 | (191) all_4_48 = n1
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (98), (182), (191) imply:
% 261.50/67.08 | (192) sum(n1, n1) = all_4_92
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (103), (188), (190) imply:
% 261.50/67.08 | (193) sum(n1, n1) = all_4_93
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n2, all_4_92, n1, n1, simplifying with
% 261.50/67.08 | (101), (192) gives:
% 261.50/67.08 | (194) all_4_92 = n2
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_93, all_4_92, n1, n1, simplifying
% 261.50/67.08 | with (192), (193) gives:
% 261.50/67.08 | (195) all_4_92 = all_4_93
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (194), (195) imply:
% 261.50/67.08 | (196) all_4_93 = n2
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (196) implies:
% 261.50/67.08 | (197) all_4_93 = n2
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (47), (194) imply:
% 261.50/67.08 | (198) pred(n2) = all_4_44
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (66), (197) imply:
% 261.50/67.08 | (199) pred(n2) = all_4_47
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (8), (194) imply:
% 261.50/67.08 | (200) succ(n2) = all_4_46
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (104), (197) imply:
% 261.50/67.08 | (201) succ(n2) = all_4_43
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n3, all_4_43, n2, simplifying with (72),
% 261.50/67.08 | (201) gives:
% 261.50/67.08 | (202) all_4_43 = n3
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with all_4_46, all_4_43, n2, simplifying with
% 261.50/67.08 | (200), (201) gives:
% 261.50/67.08 | (203) all_4_43 = all_4_46
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with n1, all_4_44, n2, simplifying with (88),
% 261.50/67.08 | (198) gives:
% 261.50/67.08 | (204) all_4_44 = n1
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with all_4_47, all_4_44, n2, simplifying with
% 261.50/67.08 | (198), (199) gives:
% 261.50/67.08 | (205) all_4_44 = all_4_47
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (202), (203) imply:
% 261.50/67.08 | (206) all_4_46 = n3
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (204), (205) imply:
% 261.50/67.08 | (207) all_4_47 = n1
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (82), (202), (204) imply:
% 261.50/67.08 | (208) sum(n1, n3) = all_4_42
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (13), (204), (206) imply:
% 261.50/67.08 | (209) sum(n1, n3) = all_4_40
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (41), (202), (207) imply:
% 261.50/67.08 | (210) sum(n1, n3) = all_4_41
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (65), (206), (207) imply:
% 261.50/67.08 | (211) sum(n1, n3) = all_4_45
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n4, all_4_41, n3, n1, simplifying with
% 261.50/67.08 | (99), (210) gives:
% 261.50/67.08 | (212) all_4_41 = n4
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_42, all_4_41, n3, n1, simplifying
% 261.50/67.08 | with (208), (210) gives:
% 261.50/67.08 | (213) all_4_41 = all_4_42
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_41, all_4_40, n3, n1, simplifying
% 261.50/67.08 | with (209), (210) gives:
% 261.50/67.08 | (214) all_4_40 = all_4_41
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_45, all_4_40, n3, n1, simplifying
% 261.50/67.08 | with (209), (211) gives:
% 261.50/67.08 | (215) all_4_40 = all_4_45
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (214), (215) imply:
% 261.50/67.08 | (216) all_4_41 = all_4_45
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (216) implies:
% 261.50/67.08 | (217) all_4_41 = all_4_45
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (212), (213) imply:
% 261.50/67.08 | (218) all_4_42 = n4
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (213), (217) imply:
% 261.50/67.08 | (219) all_4_42 = all_4_45
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (218), (219) imply:
% 261.50/67.08 | (220) all_4_45 = n4
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (220) implies:
% 261.50/67.08 | (221) all_4_45 = n4
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (215), (221) imply:
% 261.50/67.08 | (222) all_4_40 = n4
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (71), (212), (222) imply:
% 261.50/67.08 | (223) sum(n4, n4) = all_4_90
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (79), (218), (221) imply:
% 261.50/67.08 | (224) sum(n4, n4) = all_4_91
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n8, all_4_90, n4, n4, simplifying with
% 261.50/67.08 | (91), (223) gives:
% 261.50/67.08 | (225) all_4_90 = n8
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_91, all_4_90, n4, n4, simplifying
% 261.50/67.08 | with (223), (224) gives:
% 261.50/67.08 | (226) all_4_90 = all_4_91
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (225), (226) imply:
% 261.50/67.08 | (227) all_4_91 = n8
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (227) implies:
% 261.50/67.08 | (228) all_4_91 = n8
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (90), (225) imply:
% 261.50/67.08 | (229) pred(n8) = all_4_36
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (45), (228) imply:
% 261.50/67.08 | (230) pred(n8) = all_4_39
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (33), (225) imply:
% 261.50/67.08 | (231) succ(n8) = all_4_38
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (6), (228) imply:
% 261.50/67.08 | (232) succ(n8) = all_4_35
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n9, all_4_35, n8, simplifying with (75),
% 261.50/67.08 | (232) gives:
% 261.50/67.08 | (233) all_4_35 = n9
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with all_4_38, all_4_35, n8, simplifying with
% 261.50/67.08 | (231), (232) gives:
% 261.50/67.08 | (234) all_4_35 = all_4_38
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with n7, all_4_36, n8, simplifying with (30),
% 261.50/67.08 | (229) gives:
% 261.50/67.08 | (235) all_4_36 = n7
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with all_4_39, all_4_36, n8, simplifying with
% 261.50/67.08 | (229), (230) gives:
% 261.50/67.08 | (236) all_4_36 = all_4_39
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (233), (234) imply:
% 261.50/67.08 | (237) all_4_38 = n9
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (235), (236) imply:
% 261.50/67.08 | (238) all_4_39 = n7
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (62), (233), (235) imply:
% 261.50/67.08 | (239) sum(n7, n9) = all_4_34
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (94), (235), (237) imply:
% 261.50/67.08 | (240) sum(n7, n9) = all_4_32
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (76), (233), (238) imply:
% 261.50/67.08 | (241) sum(n7, n9) = all_4_33
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (81), (237), (238) imply:
% 261.50/67.08 | (242) sum(n7, n9) = all_4_37
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n5, all_4_33, n9, n7, simplifying with
% 261.50/67.08 | (85), (241) gives:
% 261.50/67.08 | (243) all_4_33 = n5
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_34, all_4_33, n9, n7, simplifying
% 261.50/67.08 | with (239), (241) gives:
% 261.50/67.08 | (244) all_4_33 = all_4_34
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_33, all_4_32, n9, n7, simplifying
% 261.50/67.08 | with (240), (241) gives:
% 261.50/67.08 | (245) all_4_32 = all_4_33
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_37, all_4_32, n9, n7, simplifying
% 261.50/67.08 | with (240), (242) gives:
% 261.50/67.08 | (246) all_4_32 = all_4_37
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (245), (246) imply:
% 261.50/67.08 | (247) all_4_33 = all_4_37
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (247) implies:
% 261.50/67.08 | (248) all_4_33 = all_4_37
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (243), (244) imply:
% 261.50/67.08 | (249) all_4_34 = n5
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (244), (248) imply:
% 261.50/67.08 | (250) all_4_34 = all_4_37
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (249), (250) imply:
% 261.50/67.08 | (251) all_4_37 = n5
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (246), (251) imply:
% 261.50/67.08 | (252) all_4_32 = n5
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (40), (243), (252) imply:
% 261.50/67.08 | (253) sum(n5, n5) = all_4_88
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (28), (249), (251) imply:
% 261.50/67.08 | (254) sum(n5, n5) = all_4_89
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n10, all_4_88, n5, n5, simplifying with
% 261.50/67.08 | (111), (253) gives:
% 261.50/67.08 | (255) all_4_88 = n10
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_89, all_4_88, n5, n5, simplifying
% 261.50/67.08 | with (253), (254) gives:
% 261.50/67.08 | (256) all_4_88 = all_4_89
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (255), (256) imply:
% 261.50/67.08 | (257) all_4_89 = n10
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (35), (255) imply:
% 261.50/67.08 | (258) pred(n10) = all_4_28
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (46), (257) imply:
% 261.50/67.08 | (259) pred(n10) = all_4_31
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (57), (255) imply:
% 261.50/67.08 | (260) succ(n10) = all_4_30
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (11), (257) imply:
% 261.50/67.08 | (261) succ(n10) = all_4_27
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n0, all_4_27, n10, simplifying with (50),
% 261.50/67.08 | (261) gives:
% 261.50/67.08 | (262) all_4_27 = n0
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with all_4_30, all_4_27, n10, simplifying with
% 261.50/67.08 | (260), (261) gives:
% 261.50/67.08 | (263) all_4_27 = all_4_30
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with n9, all_4_28, n10, simplifying with
% 261.50/67.08 | (83), (258) gives:
% 261.50/67.08 | (264) all_4_28 = n9
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (100) with all_4_31, all_4_28, n10, simplifying
% 261.50/67.08 | with (258), (259) gives:
% 261.50/67.08 | (265) all_4_28 = all_4_31
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (262), (263) imply:
% 261.50/67.08 | (266) all_4_30 = n0
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (264), (265) imply:
% 261.50/67.08 | (267) all_4_31 = n9
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (1), (262), (264) imply:
% 261.50/67.08 | (268) sum(n9, n0) = all_4_26
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (14), (264), (266) imply:
% 261.50/67.08 | (269) sum(n9, n0) = all_4_24
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (25), (262), (267) imply:
% 261.50/67.08 | (270) sum(n9, n0) = all_4_25
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (38), (266), (267) imply:
% 261.50/67.08 | (271) sum(n9, n0) = all_4_29
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n9, all_4_25, n0, n9, simplifying with
% 261.50/67.08 | (16), (270) gives:
% 261.50/67.08 | (272) all_4_25 = n9
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_26, all_4_25, n0, n9, simplifying
% 261.50/67.08 | with (268), (270) gives:
% 261.50/67.08 | (273) all_4_25 = all_4_26
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_25, all_4_24, n0, n9, simplifying
% 261.50/67.08 | with (269), (270) gives:
% 261.50/67.08 | (274) all_4_24 = all_4_25
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_29, all_4_24, n0, n9, simplifying
% 261.50/67.08 | with (269), (271) gives:
% 261.50/67.08 | (275) all_4_24 = all_4_29
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (274), (275) imply:
% 261.50/67.08 | (276) all_4_25 = all_4_29
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (276) implies:
% 261.50/67.08 | (277) all_4_25 = all_4_29
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (272), (273) imply:
% 261.50/67.08 | (278) all_4_26 = n9
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (273), (277) imply:
% 261.50/67.08 | (279) all_4_26 = all_4_29
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (278), (279) imply:
% 261.50/67.08 | (280) all_4_29 = n9
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (275), (280) imply:
% 261.50/67.08 | (281) all_4_24 = n9
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (5), (272), (281) imply:
% 261.50/67.08 | (282) sum(n9, n9) = all_4_86
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (44), (278), (280) imply:
% 261.50/67.08 | (283) sum(n9, n9) = all_4_87
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with n7, all_4_86, n9, n9, simplifying with
% 261.50/67.08 | (80), (282) gives:
% 261.50/67.08 | (284) all_4_86 = n7
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (77) with all_4_87, all_4_86, n9, n9, simplifying
% 261.50/67.08 | with (282), (283) gives:
% 261.50/67.08 | (285) all_4_86 = all_4_87
% 261.50/67.08 |
% 261.50/67.08 | COMBINE_EQS: (284), (285) imply:
% 261.50/67.08 | (286) all_4_87 = n7
% 261.50/67.08 |
% 261.50/67.08 | SIMP: (286) implies:
% 261.50/67.08 | (287) all_4_87 = n7
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (32), (284) imply:
% 261.50/67.08 | (288) pred(n7) = all_4_20
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (78), (287) imply:
% 261.50/67.08 | (289) pred(n7) = all_4_23
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (29), (284) imply:
% 261.50/67.08 | (290) succ(n7) = all_4_22
% 261.50/67.08 |
% 261.50/67.08 | REDUCE: (4), (287) imply:
% 261.50/67.08 | (291) succ(n7) = all_4_19
% 261.50/67.08 |
% 261.50/67.08 | GROUND_INST: instantiating (51) with n8, all_4_19, n7, simplifying with (63),
% 261.50/67.08 | (291) gives:
% 261.50/67.09 | (292) all_4_19 = n8
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (51) with all_4_22, all_4_19, n7, simplifying with
% 261.50/67.09 | (290), (291) gives:
% 261.50/67.09 | (293) all_4_19 = all_4_22
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (100) with n6, all_4_20, n7, simplifying with (61),
% 261.50/67.09 | (288) gives:
% 261.50/67.09 | (294) all_4_20 = n6
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (100) with all_4_23, all_4_20, n7, simplifying with
% 261.50/67.09 | (288), (289) gives:
% 261.50/67.09 | (295) all_4_20 = all_4_23
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (292), (293) imply:
% 261.50/67.09 | (296) all_4_22 = n8
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (294), (295) imply:
% 261.50/67.09 | (297) all_4_23 = n6
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (15), (292), (294) imply:
% 261.50/67.09 | (298) sum(n6, n8) = all_4_18
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (58), (294), (296) imply:
% 261.50/67.09 | (299) sum(n6, n8) = all_4_16
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (9), (292), (297) imply:
% 261.50/67.09 | (300) sum(n6, n8) = all_4_17
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (23), (296), (297) imply:
% 261.50/67.09 | (301) sum(n6, n8) = all_4_21
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with n3, all_4_17, n8, n6, simplifying with
% 261.50/67.09 | (34), (300) gives:
% 261.50/67.09 | (302) all_4_17 = n3
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_18, all_4_17, n8, n6, simplifying
% 261.50/67.09 | with (298), (300) gives:
% 261.50/67.09 | (303) all_4_17 = all_4_18
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_17, all_4_16, n8, n6, simplifying
% 261.50/67.09 | with (299), (300) gives:
% 261.50/67.09 | (304) all_4_16 = all_4_17
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_21, all_4_16, n8, n6, simplifying
% 261.50/67.09 | with (299), (301) gives:
% 261.50/67.09 | (305) all_4_16 = all_4_21
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (304), (305) imply:
% 261.50/67.09 | (306) all_4_17 = all_4_21
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (306) implies:
% 261.50/67.09 | (307) all_4_17 = all_4_21
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (302), (303) imply:
% 261.50/67.09 | (308) all_4_18 = n3
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (303), (307) imply:
% 261.50/67.09 | (309) all_4_18 = all_4_21
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (308), (309) imply:
% 261.50/67.09 | (310) all_4_21 = n3
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (305), (310) imply:
% 261.50/67.09 | (311) all_4_16 = n3
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (86), (302), (311) imply:
% 261.50/67.09 | (312) sum(n3, n3) = all_4_84
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (7), (308), (310) imply:
% 261.50/67.09 | (313) sum(n3, n3) = all_4_85
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with n6, all_4_84, n3, n3, simplifying with
% 261.50/67.09 | (19), (312) gives:
% 261.50/67.09 | (314) all_4_84 = n6
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_85, all_4_84, n3, n3, simplifying
% 261.50/67.09 | with (312), (313) gives:
% 261.50/67.09 | (315) all_4_84 = all_4_85
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (314), (315) imply:
% 261.50/67.09 | (316) all_4_85 = n6
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (316) implies:
% 261.50/67.09 | (317) all_4_85 = n6
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (95), (314) imply:
% 261.50/67.09 | (318) pred(n6) = all_4_12
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (36), (317) imply:
% 261.50/67.09 | (319) pred(n6) = all_4_15
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (2), (314) imply:
% 261.50/67.09 | (320) succ(n6) = all_4_14
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (97), (317) imply:
% 261.50/67.09 | (321) succ(n6) = all_4_11
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (51) with n7, all_4_11, n6, simplifying with (74),
% 261.50/67.09 | (321) gives:
% 261.50/67.09 | (322) all_4_11 = n7
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (51) with all_4_14, all_4_11, n6, simplifying with
% 261.50/67.09 | (320), (321) gives:
% 261.50/67.09 | (323) all_4_11 = all_4_14
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (100) with n5, all_4_12, n6, simplifying with (54),
% 261.50/67.09 | (318) gives:
% 261.50/67.09 | (324) all_4_12 = n5
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (100) with all_4_15, all_4_12, n6, simplifying with
% 261.50/67.09 | (318), (319) gives:
% 261.50/67.09 | (325) all_4_12 = all_4_15
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (322), (323) imply:
% 261.50/67.09 | (326) all_4_14 = n7
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (324), (325) imply:
% 261.50/67.09 | (327) all_4_15 = n5
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (59), (322), (324) imply:
% 261.50/67.09 | (328) sum(n5, n7) = all_4_10
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (43), (324), (326) imply:
% 261.50/67.09 | (329) sum(n5, n7) = all_4_8
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (64), (322), (327) imply:
% 261.50/67.09 | (330) sum(n5, n7) = all_4_9
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (37), (326), (327) imply:
% 261.50/67.09 | (331) sum(n5, n7) = all_4_13
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with n1, all_4_9, n7, n5, simplifying with
% 261.50/67.09 | (48), (330) gives:
% 261.50/67.09 | (332) all_4_9 = n1
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_10, all_4_9, n7, n5, simplifying
% 261.50/67.09 | with (328), (330) gives:
% 261.50/67.09 | (333) all_4_9 = all_4_10
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_9, all_4_8, n7, n5, simplifying
% 261.50/67.09 | with (329), (330) gives:
% 261.50/67.09 | (334) all_4_8 = all_4_9
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_13, all_4_8, n7, n5, simplifying
% 261.50/67.09 | with (329), (331) gives:
% 261.50/67.09 | (335) all_4_8 = all_4_13
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (334), (335) imply:
% 261.50/67.09 | (336) all_4_9 = all_4_13
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (336) implies:
% 261.50/67.09 | (337) all_4_9 = all_4_13
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (332), (333) imply:
% 261.50/67.09 | (338) all_4_10 = n1
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (333), (337) imply:
% 261.50/67.09 | (339) all_4_10 = all_4_13
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (338), (339) imply:
% 261.50/67.09 | (340) all_4_13 = n1
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (335), (340) imply:
% 261.50/67.09 | (341) all_4_8 = n1
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (17), (332), (341) imply:
% 261.50/67.09 | (342) sum(n1, n1) = all_4_82
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (87), (338), (340) imply:
% 261.50/67.09 | (343) sum(n1, n1) = all_4_83
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with n2, all_4_82, n1, n1, simplifying with
% 261.50/67.09 | (101), (342) gives:
% 261.50/67.09 | (344) all_4_82 = n2
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (77) with all_4_83, all_4_82, n1, n1, simplifying
% 261.50/67.09 | with (342), (343) gives:
% 261.50/67.09 | (345) all_4_82 = all_4_83
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (344), (345) imply:
% 261.50/67.09 | (346) all_4_83 = n2
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (346) implies:
% 261.50/67.09 | (347) all_4_83 = n2
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (10), (344), (347) imply:
% 261.50/67.09 | (348) $false
% 261.50/67.09 |
% 261.50/67.09 | CLOSE: (348) is inconsistent.
% 261.50/67.09 |
% 261.50/67.09 End of proof
% 261.50/67.09
% 261.50/67.09 Sub-proof #189 shows that the following formulas are inconsistent:
% 261.50/67.09 ----------------------------------------------------------------
% 261.50/67.09 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.50/67.09 (2) succ(all_4_84) = all_4_14
% 261.50/67.09 (3) succ(all_4_95) = all_4_51
% 261.50/67.09 (4) succ(all_4_87) = all_4_19
% 261.50/67.09 (5) sum(n6, n6) = all_4_99
% 261.50/67.09 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.50/67.09 (7) succ(n1) = n2
% 261.50/67.09 (8) succ(all_4_91) = all_4_35
% 261.50/67.09 (9) sum(n4, n6) = n10
% 261.50/67.09 (10) sum(all_4_21, all_4_18) = all_4_85
% 261.50/67.09 (11) succ(all_4_92) = all_4_46
% 261.50/67.09 (12) sum(all_4_23, all_4_19) = all_4_17
% 261.50/67.09 (13) ~ (all_4_82 = all_4_83)
% 261.50/67.09 (14) succ(all_4_89) = all_4_27
% 261.50/67.09 (15) sum(n2, n2) = n4
% 261.50/67.09 (16) pred(all_4_95) = all_4_55
% 261.50/67.09 (17) sum(all_4_44, all_4_46) = all_4_40
% 261.50/67.09 (18) sum(all_4_28, all_4_30) = all_4_24
% 261.50/67.09 (19) sum(all_4_20, all_4_19) = all_4_18
% 261.50/67.09 (20) succ(n9) = n10
% 261.50/67.09 (21) sum(all_4_9, all_4_8) = all_4_82
% 261.50/67.09 (22) sum(all_4_52, all_4_54) = all_4_48
% 261.50/67.09 (23) sum(all_4_60, all_4_62) = all_4_56
% 261.50/67.09 (24) sum(all_4_71, all_4_70) = all_4_69
% 261.50/67.09 (25) sum(all_4_55, all_4_54) = all_4_53
% 261.50/67.09 (26) sum(all_4_23, all_4_22) = all_4_21
% 261.50/67.09 (27) sum(n2, n4) = n6
% 261.50/67.09 (28) sum(all_4_63, all_4_59) = all_4_57
% 261.50/67.09 (29) sum(all_4_31, all_4_27) = all_4_25
% 261.50/67.09 (30) sum(all_4_63, all_4_62) = all_4_61
% 261.50/67.09 (31) succ(all_4_94) = all_4_54
% 261.50/67.09 (32) sum(all_4_37, all_4_34) = all_4_89
% 261.50/67.09 (33) sum(n8, n8) = n5
% 261.50/67.09 (34) succ(all_4_86) = all_4_22
% 261.50/67.09 (35) pred(all_4_99) = all_4_71
% 261.50/67.09 (36) pred(all_4_86) = all_4_20
% 261.50/67.09 (37) succ(all_4_90) = all_4_38
% 261.50/67.09 (38) pred(all_4_88) = all_4_28
% 261.50/67.09 (39) pred(all_4_85) = all_4_15
% 261.50/67.09 (40) sum(all_4_15, all_4_14) = all_4_13
% 261.50/67.09 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.50/67.09 (42) sum(n8, n10) = n7
% 261.50/67.09 (43) sum(all_4_57, all_4_56) = all_4_94
% 261.50/67.09 (44) sum(n0, n2) = n2
% 261.50/67.09 (45) sum(all_4_33, all_4_32) = all_4_88
% 261.50/67.09 (46) sum(n3, n5) = n8
% 261.50/67.09 (47) sum(n10, n10) = n9
% 261.50/67.09 (48) sum(all_4_47, all_4_43) = all_4_41
% 261.50/67.09 (49) sum(all_4_12, all_4_14) = all_4_8
% 261.50/67.09 (50) pred(n5) = n4
% 261.50/67.09 (51) sum(all_4_29, all_4_26) = all_4_87
% 261.50/67.09 (52) pred(all_4_91) = all_4_39
% 261.50/67.09 (53) pred(all_4_89) = all_4_31
% 261.50/67.09 (54) pred(all_4_92) = all_4_44
% 261.50/67.09 (55) sum(all_4_65, all_4_64) = all_4_96
% 261.50/67.09 (56) pred(n4) = n3
% 261.50/67.09 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.50/67.09 | ~ (succ(v2) = v0))
% 261.50/67.09 (58) pred(all_4_97) = all_4_63
% 261.50/67.09 (59) succ(all_4_99) = all_4_67
% 261.50/67.09 (60) pred(n9) = n8
% 261.50/67.09 (61) succ(n3) = n4
% 261.50/67.09 (62) pred(all_4_96) = all_4_60
% 261.50/67.09 (63) succ(all_4_96) = all_4_62
% 261.50/67.09 (64) pred(n3) = n2
% 261.50/67.09 (65) succ(all_4_88) = all_4_30
% 261.50/67.09 (66) sum(all_4_20, all_4_22) = all_4_16
% 261.50/67.09 (67) sum(all_4_12, all_4_11) = all_4_10
% 261.50/67.09 (68) sum(all_4_55, all_4_51) = all_4_49
% 261.50/67.09 (69) sum(all_4_36, all_4_35) = all_4_34
% 261.50/67.09 (70) sum(all_4_15, all_4_11) = all_4_9
% 261.50/67.09 (71) sum(all_4_47, all_4_46) = all_4_45
% 261.50/67.09 (72) pred(all_4_93) = all_4_47
% 261.50/67.09 (73) sum(all_4_71, all_4_67) = all_4_65
% 261.50/67.09 (74) sum(all_4_60, all_4_59) = all_4_58
% 261.50/67.09 (75) sum(all_4_41, all_4_40) = all_4_90
% 261.50/67.09 (76) sum(all_4_68, all_4_67) = all_4_66
% 261.50/67.09 (77) sum(all_4_39, all_4_35) = all_4_33
% 261.50/67.09 (78) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.50/67.09 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.50/67.09 (79) pred(all_4_87) = all_4_23
% 261.50/67.09 (80) sum(all_4_45, all_4_42) = all_4_91
% 261.50/67.09 (81) sum(all_4_39, all_4_38) = all_4_37
% 261.50/67.09 (82) sum(all_4_44, all_4_43) = all_4_42
% 261.50/67.09 (83) succ(n5) = n6
% 261.50/67.09 (84) sum(all_4_69, all_4_66) = all_4_97
% 261.50/67.09 (85) succ(n4) = n5
% 261.50/67.09 (86) sum(all_4_17, all_4_16) = all_4_84
% 261.50/67.09 (87) sum(all_4_13, all_4_10) = all_4_83
% 261.50/67.09 (88) succ(all_4_98) = all_4_70
% 261.50/67.09 (89) pred(all_4_90) = all_4_36
% 261.50/67.09 (90) all_4_99 = n1
% 261.50/67.09 (91) pred(n1) = n0
% 261.50/67.09 (92) sum(all_4_68, all_4_70) = all_4_64
% 261.50/67.09 (93) succ(all_4_97) = all_4_59
% 261.50/67.09 (94) sum(all_4_36, all_4_38) = all_4_32
% 261.50/67.09 (95) pred(all_4_84) = all_4_12
% 261.50/67.09 (96) sum(all_4_61, all_4_58) = all_4_95
% 261.50/67.09 (97) sum(n7, n7) = n3
% 261.50/67.09 (98) all_4_98 = n1
% 261.50/67.09 (99) succ(all_4_85) = all_4_11
% 261.50/67.09 (100) sum(all_4_49, all_4_48) = all_4_92
% 261.50/67.09 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.50/67.09 | ~ (pred(v2) = v0))
% 261.50/67.09 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.50/67.09 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.50/67.09 (104) succ(all_4_93) = all_4_43
% 261.50/67.09 (105) pred(all_4_98) = all_4_68
% 261.50/67.09 (106) pred(all_4_94) = all_4_52
% 261.50/67.09
% 261.50/67.09 Begin of proof
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (98), (105) imply:
% 261.50/67.09 | (107) pred(n1) = all_4_68
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (35), (90) imply:
% 261.50/67.09 | (108) pred(n1) = all_4_71
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (88), (98) imply:
% 261.50/67.09 | (109) succ(n1) = all_4_70
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (59), (90) imply:
% 261.50/67.09 | (110) succ(n1) = all_4_67
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (5), (90) imply:
% 261.50/67.09 | (111) sum(n6, n6) = n1
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with n2, all_4_67, n1, simplifying with (7),
% 261.50/67.09 | (110) gives:
% 261.50/67.09 | (112) all_4_67 = n2
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with all_4_70, all_4_67, n1, simplifying with
% 261.50/67.09 | (109), (110) gives:
% 261.50/67.09 | (113) all_4_67 = all_4_70
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with n0, all_4_68, n1, simplifying with (91),
% 261.50/67.09 | (107) gives:
% 261.50/67.09 | (114) all_4_68 = n0
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with all_4_71, all_4_68, n1, simplifying with
% 261.50/67.09 | (107), (108) gives:
% 261.50/67.09 | (115) all_4_68 = all_4_71
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (112), (113) imply:
% 261.50/67.09 | (116) all_4_70 = n2
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (114), (115) imply:
% 261.50/67.09 | (117) all_4_71 = n0
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (76), (112), (114) imply:
% 261.50/67.09 | (118) sum(n0, n2) = all_4_66
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (92), (114), (116) imply:
% 261.50/67.09 | (119) sum(n0, n2) = all_4_64
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (73), (112), (117) imply:
% 261.50/67.09 | (120) sum(n0, n2) = all_4_65
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (24), (116), (117) imply:
% 261.50/67.09 | (121) sum(n0, n2) = all_4_69
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n2, all_4_65, n2, n0, simplifying with
% 261.50/67.09 | (44), (120) gives:
% 261.50/67.09 | (122) all_4_65 = n2
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_66, all_4_65, n2, n0, simplifying
% 261.50/67.09 | with (118), (120) gives:
% 261.50/67.09 | (123) all_4_65 = all_4_66
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_66, all_4_64, n2, n0, simplifying
% 261.50/67.09 | with (118), (119) gives:
% 261.50/67.09 | (124) all_4_64 = all_4_66
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_69, all_4_64, n2, n0, simplifying
% 261.50/67.09 | with (119), (121) gives:
% 261.50/67.09 | (125) all_4_64 = all_4_69
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (124), (125) imply:
% 261.50/67.09 | (126) all_4_66 = all_4_69
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (126) implies:
% 261.50/67.09 | (127) all_4_66 = all_4_69
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (122), (123) imply:
% 261.50/67.09 | (128) all_4_66 = n2
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (128) implies:
% 261.50/67.09 | (129) all_4_66 = n2
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (127), (129) imply:
% 261.50/67.09 | (130) all_4_69 = n2
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (125), (130) imply:
% 261.50/67.09 | (131) all_4_64 = n2
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (55), (122), (131) imply:
% 261.50/67.09 | (132) sum(n2, n2) = all_4_96
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (84), (129), (130) imply:
% 261.50/67.09 | (133) sum(n2, n2) = all_4_97
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n4, all_4_96, n2, n2, simplifying with
% 261.50/67.09 | (15), (132) gives:
% 261.50/67.09 | (134) all_4_96 = n4
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_97, all_4_96, n2, n2, simplifying
% 261.50/67.09 | with (132), (133) gives:
% 261.50/67.09 | (135) all_4_96 = all_4_97
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (134), (135) imply:
% 261.50/67.09 | (136) all_4_97 = n4
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (136) implies:
% 261.50/67.09 | (137) all_4_97 = n4
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (62), (134) imply:
% 261.50/67.09 | (138) pred(n4) = all_4_60
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (58), (137) imply:
% 261.50/67.09 | (139) pred(n4) = all_4_63
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (63), (134) imply:
% 261.50/67.09 | (140) succ(n4) = all_4_62
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (93), (137) imply:
% 261.50/67.09 | (141) succ(n4) = all_4_59
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with n5, all_4_59, n4, simplifying with (85),
% 261.50/67.09 | (141) gives:
% 261.50/67.09 | (142) all_4_59 = n5
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with all_4_62, all_4_59, n4, simplifying with
% 261.50/67.09 | (140), (141) gives:
% 261.50/67.09 | (143) all_4_59 = all_4_62
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with n3, all_4_60, n4, simplifying with (56),
% 261.50/67.09 | (138) gives:
% 261.50/67.09 | (144) all_4_60 = n3
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with all_4_63, all_4_60, n4, simplifying with
% 261.50/67.09 | (138), (139) gives:
% 261.50/67.09 | (145) all_4_60 = all_4_63
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (142), (143) imply:
% 261.50/67.09 | (146) all_4_62 = n5
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (144), (145) imply:
% 261.50/67.09 | (147) all_4_63 = n3
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (74), (142), (144) imply:
% 261.50/67.09 | (148) sum(n3, n5) = all_4_58
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (23), (144), (146) imply:
% 261.50/67.09 | (149) sum(n3, n5) = all_4_56
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (28), (142), (147) imply:
% 261.50/67.09 | (150) sum(n3, n5) = all_4_57
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (30), (146), (147) imply:
% 261.50/67.09 | (151) sum(n3, n5) = all_4_61
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n8, all_4_57, n5, n3, simplifying with
% 261.50/67.09 | (46), (150) gives:
% 261.50/67.09 | (152) all_4_57 = n8
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_58, all_4_57, n5, n3, simplifying
% 261.50/67.09 | with (148), (150) gives:
% 261.50/67.09 | (153) all_4_57 = all_4_58
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_57, all_4_56, n5, n3, simplifying
% 261.50/67.09 | with (149), (150) gives:
% 261.50/67.09 | (154) all_4_56 = all_4_57
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_61, all_4_56, n5, n3, simplifying
% 261.50/67.09 | with (149), (151) gives:
% 261.50/67.09 | (155) all_4_56 = all_4_61
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (154), (155) imply:
% 261.50/67.09 | (156) all_4_57 = all_4_61
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (156) implies:
% 261.50/67.09 | (157) all_4_57 = all_4_61
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (152), (153) imply:
% 261.50/67.09 | (158) all_4_58 = n8
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (153), (157) imply:
% 261.50/67.09 | (159) all_4_58 = all_4_61
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (158), (159) imply:
% 261.50/67.09 | (160) all_4_61 = n8
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (155), (160) imply:
% 261.50/67.09 | (161) all_4_56 = n8
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (43), (152), (161) imply:
% 261.50/67.09 | (162) sum(n8, n8) = all_4_94
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (96), (158), (160) imply:
% 261.50/67.09 | (163) sum(n8, n8) = all_4_95
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n5, all_4_94, n8, n8, simplifying with
% 261.50/67.09 | (33), (162) gives:
% 261.50/67.09 | (164) all_4_94 = n5
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_95, all_4_94, n8, n8, simplifying
% 261.50/67.09 | with (162), (163) gives:
% 261.50/67.09 | (165) all_4_94 = all_4_95
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (164), (165) imply:
% 261.50/67.09 | (166) all_4_95 = n5
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (106), (164) imply:
% 261.50/67.09 | (167) pred(n5) = all_4_52
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (16), (166) imply:
% 261.50/67.09 | (168) pred(n5) = all_4_55
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (31), (164) imply:
% 261.50/67.09 | (169) succ(n5) = all_4_54
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (3), (166) imply:
% 261.50/67.09 | (170) succ(n5) = all_4_51
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with n6, all_4_51, n5, simplifying with (83),
% 261.50/67.09 | (170) gives:
% 261.50/67.09 | (171) all_4_51 = n6
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with all_4_54, all_4_51, n5, simplifying with
% 261.50/67.09 | (169), (170) gives:
% 261.50/67.09 | (172) all_4_51 = all_4_54
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with n4, all_4_52, n5, simplifying with (50),
% 261.50/67.09 | (167) gives:
% 261.50/67.09 | (173) all_4_52 = n4
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with all_4_55, all_4_52, n5, simplifying with
% 261.50/67.09 | (167), (168) gives:
% 261.50/67.09 | (174) all_4_52 = all_4_55
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (171), (172) imply:
% 261.50/67.09 | (175) all_4_54 = n6
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (173), (174) imply:
% 261.50/67.09 | (176) all_4_55 = n4
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (176) implies:
% 261.50/67.09 | (177) all_4_55 = n4
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (102), (171), (173) imply:
% 261.50/67.09 | (178) sum(n4, n6) = all_4_50
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (22), (173), (175) imply:
% 261.50/67.09 | (179) sum(n4, n6) = all_4_48
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (68), (171), (177) imply:
% 261.50/67.09 | (180) sum(n4, n6) = all_4_49
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (25), (175), (177) imply:
% 261.50/67.09 | (181) sum(n4, n6) = all_4_53
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n10, all_4_49, n6, n4, simplifying with
% 261.50/67.09 | (9), (180) gives:
% 261.50/67.09 | (182) all_4_49 = n10
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_50, all_4_49, n6, n4, simplifying
% 261.50/67.09 | with (178), (180) gives:
% 261.50/67.09 | (183) all_4_49 = all_4_50
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_49, all_4_48, n6, n4, simplifying
% 261.50/67.09 | with (179), (180) gives:
% 261.50/67.09 | (184) all_4_48 = all_4_49
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_53, all_4_48, n6, n4, simplifying
% 261.50/67.09 | with (179), (181) gives:
% 261.50/67.09 | (185) all_4_48 = all_4_53
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (184), (185) imply:
% 261.50/67.09 | (186) all_4_49 = all_4_53
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (186) implies:
% 261.50/67.09 | (187) all_4_49 = all_4_53
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (182), (183) imply:
% 261.50/67.09 | (188) all_4_50 = n10
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (183), (187) imply:
% 261.50/67.09 | (189) all_4_50 = all_4_53
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (188), (189) imply:
% 261.50/67.09 | (190) all_4_53 = n10
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (185), (190) imply:
% 261.50/67.09 | (191) all_4_48 = n10
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (100), (182), (191) imply:
% 261.50/67.09 | (192) sum(n10, n10) = all_4_92
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (103), (188), (190) imply:
% 261.50/67.09 | (193) sum(n10, n10) = all_4_93
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n9, all_4_92, n10, n10, simplifying with
% 261.50/67.09 | (47), (192) gives:
% 261.50/67.09 | (194) all_4_92 = n9
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_93, all_4_92, n10, n10, simplifying
% 261.50/67.09 | with (192), (193) gives:
% 261.50/67.09 | (195) all_4_92 = all_4_93
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (194), (195) imply:
% 261.50/67.09 | (196) all_4_93 = n9
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (196) implies:
% 261.50/67.09 | (197) all_4_93 = n9
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (54), (194) imply:
% 261.50/67.09 | (198) pred(n9) = all_4_44
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (72), (197) imply:
% 261.50/67.09 | (199) pred(n9) = all_4_47
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (11), (194) imply:
% 261.50/67.09 | (200) succ(n9) = all_4_46
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (104), (197) imply:
% 261.50/67.09 | (201) succ(n9) = all_4_43
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with n10, all_4_43, n9, simplifying with (20),
% 261.50/67.09 | (201) gives:
% 261.50/67.09 | (202) all_4_43 = n10
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with all_4_46, all_4_43, n9, simplifying with
% 261.50/67.09 | (200), (201) gives:
% 261.50/67.09 | (203) all_4_43 = all_4_46
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with n8, all_4_44, n9, simplifying with (60),
% 261.50/67.09 | (198) gives:
% 261.50/67.09 | (204) all_4_44 = n8
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with all_4_47, all_4_44, n9, simplifying with
% 261.50/67.09 | (198), (199) gives:
% 261.50/67.09 | (205) all_4_44 = all_4_47
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (202), (203) imply:
% 261.50/67.09 | (206) all_4_46 = n10
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (204), (205) imply:
% 261.50/67.09 | (207) all_4_47 = n8
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (82), (202), (204) imply:
% 261.50/67.09 | (208) sum(n8, n10) = all_4_42
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (17), (204), (206) imply:
% 261.50/67.09 | (209) sum(n8, n10) = all_4_40
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (48), (202), (207) imply:
% 261.50/67.09 | (210) sum(n8, n10) = all_4_41
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (71), (206), (207) imply:
% 261.50/67.09 | (211) sum(n8, n10) = all_4_45
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n7, all_4_41, n10, n8, simplifying with
% 261.50/67.09 | (42), (210) gives:
% 261.50/67.09 | (212) all_4_41 = n7
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_42, all_4_41, n10, n8, simplifying
% 261.50/67.09 | with (208), (210) gives:
% 261.50/67.09 | (213) all_4_41 = all_4_42
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_41, all_4_40, n10, n8, simplifying
% 261.50/67.09 | with (209), (210) gives:
% 261.50/67.09 | (214) all_4_40 = all_4_41
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_45, all_4_40, n10, n8, simplifying
% 261.50/67.09 | with (209), (211) gives:
% 261.50/67.09 | (215) all_4_40 = all_4_45
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (214), (215) imply:
% 261.50/67.09 | (216) all_4_41 = all_4_45
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (216) implies:
% 261.50/67.09 | (217) all_4_41 = all_4_45
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (212), (213) imply:
% 261.50/67.09 | (218) all_4_42 = n7
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (213), (217) imply:
% 261.50/67.09 | (219) all_4_42 = all_4_45
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (218), (219) imply:
% 261.50/67.09 | (220) all_4_45 = n7
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (220) implies:
% 261.50/67.09 | (221) all_4_45 = n7
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (215), (221) imply:
% 261.50/67.09 | (222) all_4_40 = n7
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (75), (212), (222) imply:
% 261.50/67.09 | (223) sum(n7, n7) = all_4_90
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (80), (218), (221) imply:
% 261.50/67.09 | (224) sum(n7, n7) = all_4_91
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n3, all_4_90, n7, n7, simplifying with
% 261.50/67.09 | (97), (223) gives:
% 261.50/67.09 | (225) all_4_90 = n3
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_91, all_4_90, n7, n7, simplifying
% 261.50/67.09 | with (223), (224) gives:
% 261.50/67.09 | (226) all_4_90 = all_4_91
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (225), (226) imply:
% 261.50/67.09 | (227) all_4_91 = n3
% 261.50/67.09 |
% 261.50/67.09 | SIMP: (227) implies:
% 261.50/67.09 | (228) all_4_91 = n3
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (89), (225) imply:
% 261.50/67.09 | (229) pred(n3) = all_4_36
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (52), (228) imply:
% 261.50/67.09 | (230) pred(n3) = all_4_39
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (37), (225) imply:
% 261.50/67.09 | (231) succ(n3) = all_4_38
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (8), (228) imply:
% 261.50/67.09 | (232) succ(n3) = all_4_35
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with n4, all_4_35, n3, simplifying with (61),
% 261.50/67.09 | (232) gives:
% 261.50/67.09 | (233) all_4_35 = n4
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (57) with all_4_38, all_4_35, n3, simplifying with
% 261.50/67.09 | (231), (232) gives:
% 261.50/67.09 | (234) all_4_35 = all_4_38
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with n2, all_4_36, n3, simplifying with (64),
% 261.50/67.09 | (229) gives:
% 261.50/67.09 | (235) all_4_36 = n2
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (101) with all_4_39, all_4_36, n3, simplifying with
% 261.50/67.09 | (229), (230) gives:
% 261.50/67.09 | (236) all_4_36 = all_4_39
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (233), (234) imply:
% 261.50/67.09 | (237) all_4_38 = n4
% 261.50/67.09 |
% 261.50/67.09 | COMBINE_EQS: (235), (236) imply:
% 261.50/67.09 | (238) all_4_39 = n2
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (69), (233), (235) imply:
% 261.50/67.09 | (239) sum(n2, n4) = all_4_34
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (94), (235), (237) imply:
% 261.50/67.09 | (240) sum(n2, n4) = all_4_32
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (77), (233), (238) imply:
% 261.50/67.09 | (241) sum(n2, n4) = all_4_33
% 261.50/67.09 |
% 261.50/67.09 | REDUCE: (81), (237), (238) imply:
% 261.50/67.09 | (242) sum(n2, n4) = all_4_37
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with n6, all_4_33, n4, n2, simplifying with
% 261.50/67.09 | (27), (241) gives:
% 261.50/67.09 | (243) all_4_33 = n6
% 261.50/67.09 |
% 261.50/67.09 | GROUND_INST: instantiating (78) with all_4_34, all_4_33, n4, n2, simplifying
% 261.50/67.09 | with (239), (241) gives:
% 261.50/67.10 | (244) all_4_33 = all_4_34
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_33, all_4_32, n4, n2, simplifying
% 261.50/67.10 | with (240), (241) gives:
% 261.50/67.10 | (245) all_4_32 = all_4_33
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_37, all_4_32, n4, n2, simplifying
% 261.50/67.10 | with (240), (242) gives:
% 261.50/67.10 | (246) all_4_32 = all_4_37
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (245), (246) imply:
% 261.50/67.10 | (247) all_4_33 = all_4_37
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (247) implies:
% 261.50/67.10 | (248) all_4_33 = all_4_37
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (243), (244) imply:
% 261.50/67.10 | (249) all_4_34 = n6
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (244), (248) imply:
% 261.50/67.10 | (250) all_4_34 = all_4_37
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (249), (250) imply:
% 261.50/67.10 | (251) all_4_37 = n6
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (246), (251) imply:
% 261.50/67.10 | (252) all_4_32 = n6
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (45), (243), (252) imply:
% 261.50/67.10 | (253) sum(n6, n6) = all_4_88
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (32), (249), (251) imply:
% 261.50/67.10 | (254) sum(n6, n6) = all_4_89
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n1, all_4_88, n6, n6, simplifying with
% 261.50/67.10 | (111), (253) gives:
% 261.50/67.10 | (255) all_4_88 = n1
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_89, all_4_88, n6, n6, simplifying
% 261.50/67.10 | with (253), (254) gives:
% 261.50/67.10 | (256) all_4_88 = all_4_89
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (255), (256) imply:
% 261.50/67.10 | (257) all_4_89 = n1
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (38), (255) imply:
% 261.50/67.10 | (258) pred(n1) = all_4_28
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (53), (257) imply:
% 261.50/67.10 | (259) pred(n1) = all_4_31
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (65), (255) imply:
% 261.50/67.10 | (260) succ(n1) = all_4_30
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (14), (257) imply:
% 261.50/67.10 | (261) succ(n1) = all_4_27
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (57) with n2, all_4_27, n1, simplifying with (7),
% 261.50/67.10 | (261) gives:
% 261.50/67.10 | (262) all_4_27 = n2
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (57) with all_4_30, all_4_27, n1, simplifying with
% 261.50/67.10 | (260), (261) gives:
% 261.50/67.10 | (263) all_4_27 = all_4_30
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with n0, all_4_28, n1, simplifying with (91),
% 261.50/67.10 | (258) gives:
% 261.50/67.10 | (264) all_4_28 = n0
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with all_4_31, all_4_28, n1, simplifying with
% 261.50/67.10 | (258), (259) gives:
% 261.50/67.10 | (265) all_4_28 = all_4_31
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (262), (263) imply:
% 261.50/67.10 | (266) all_4_30 = n2
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (264), (265) imply:
% 261.50/67.10 | (267) all_4_31 = n0
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (1), (262), (264) imply:
% 261.50/67.10 | (268) sum(n0, n2) = all_4_26
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (18), (264), (266) imply:
% 261.50/67.10 | (269) sum(n0, n2) = all_4_24
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (29), (262), (267) imply:
% 261.50/67.10 | (270) sum(n0, n2) = all_4_25
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (41), (266), (267) imply:
% 261.50/67.10 | (271) sum(n0, n2) = all_4_29
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n2, all_4_25, n2, n0, simplifying with
% 261.50/67.10 | (44), (270) gives:
% 261.50/67.10 | (272) all_4_25 = n2
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_26, all_4_25, n2, n0, simplifying
% 261.50/67.10 | with (268), (270) gives:
% 261.50/67.10 | (273) all_4_25 = all_4_26
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_25, all_4_24, n2, n0, simplifying
% 261.50/67.10 | with (269), (270) gives:
% 261.50/67.10 | (274) all_4_24 = all_4_25
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_29, all_4_24, n2, n0, simplifying
% 261.50/67.10 | with (269), (271) gives:
% 261.50/67.10 | (275) all_4_24 = all_4_29
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (274), (275) imply:
% 261.50/67.10 | (276) all_4_25 = all_4_29
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (276) implies:
% 261.50/67.10 | (277) all_4_25 = all_4_29
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (272), (273) imply:
% 261.50/67.10 | (278) all_4_26 = n2
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (273), (277) imply:
% 261.50/67.10 | (279) all_4_26 = all_4_29
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (278), (279) imply:
% 261.50/67.10 | (280) all_4_29 = n2
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (275), (280) imply:
% 261.50/67.10 | (281) all_4_24 = n2
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (6), (272), (281) imply:
% 261.50/67.10 | (282) sum(n2, n2) = all_4_86
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (51), (278), (280) imply:
% 261.50/67.10 | (283) sum(n2, n2) = all_4_87
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n4, all_4_86, n2, n2, simplifying with
% 261.50/67.10 | (15), (282) gives:
% 261.50/67.10 | (284) all_4_86 = n4
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_87, all_4_86, n2, n2, simplifying
% 261.50/67.10 | with (282), (283) gives:
% 261.50/67.10 | (285) all_4_86 = all_4_87
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (284), (285) imply:
% 261.50/67.10 | (286) all_4_87 = n4
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (286) implies:
% 261.50/67.10 | (287) all_4_87 = n4
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (36), (284) imply:
% 261.50/67.10 | (288) pred(n4) = all_4_20
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (79), (287) imply:
% 261.50/67.10 | (289) pred(n4) = all_4_23
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (34), (284) imply:
% 261.50/67.10 | (290) succ(n4) = all_4_22
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (4), (287) imply:
% 261.50/67.10 | (291) succ(n4) = all_4_19
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (57) with n5, all_4_19, n4, simplifying with (85),
% 261.50/67.10 | (291) gives:
% 261.50/67.10 | (292) all_4_19 = n5
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (57) with all_4_22, all_4_19, n4, simplifying with
% 261.50/67.10 | (290), (291) gives:
% 261.50/67.10 | (293) all_4_19 = all_4_22
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with n3, all_4_20, n4, simplifying with (56),
% 261.50/67.10 | (288) gives:
% 261.50/67.10 | (294) all_4_20 = n3
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with all_4_23, all_4_20, n4, simplifying with
% 261.50/67.10 | (288), (289) gives:
% 261.50/67.10 | (295) all_4_20 = all_4_23
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (292), (293) imply:
% 261.50/67.10 | (296) all_4_22 = n5
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (294), (295) imply:
% 261.50/67.10 | (297) all_4_23 = n3
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (19), (292), (294) imply:
% 261.50/67.10 | (298) sum(n3, n5) = all_4_18
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (66), (294), (296) imply:
% 261.50/67.10 | (299) sum(n3, n5) = all_4_16
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (12), (292), (297) imply:
% 261.50/67.10 | (300) sum(n3, n5) = all_4_17
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (26), (296), (297) imply:
% 261.50/67.10 | (301) sum(n3, n5) = all_4_21
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n8, all_4_17, n5, n3, simplifying with
% 261.50/67.10 | (46), (300) gives:
% 261.50/67.10 | (302) all_4_17 = n8
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_18, all_4_17, n5, n3, simplifying
% 261.50/67.10 | with (298), (300) gives:
% 261.50/67.10 | (303) all_4_17 = all_4_18
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_17, all_4_16, n5, n3, simplifying
% 261.50/67.10 | with (299), (300) gives:
% 261.50/67.10 | (304) all_4_16 = all_4_17
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_21, all_4_16, n5, n3, simplifying
% 261.50/67.10 | with (299), (301) gives:
% 261.50/67.10 | (305) all_4_16 = all_4_21
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (304), (305) imply:
% 261.50/67.10 | (306) all_4_17 = all_4_21
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (306) implies:
% 261.50/67.10 | (307) all_4_17 = all_4_21
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (302), (303) imply:
% 261.50/67.10 | (308) all_4_18 = n8
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (303), (307) imply:
% 261.50/67.10 | (309) all_4_18 = all_4_21
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (308), (309) imply:
% 261.50/67.10 | (310) all_4_21 = n8
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (305), (310) imply:
% 261.50/67.10 | (311) all_4_16 = n8
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (86), (302), (311) imply:
% 261.50/67.10 | (312) sum(n8, n8) = all_4_84
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (10), (308), (310) imply:
% 261.50/67.10 | (313) sum(n8, n8) = all_4_85
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n5, all_4_84, n8, n8, simplifying with
% 261.50/67.10 | (33), (312) gives:
% 261.50/67.10 | (314) all_4_84 = n5
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_85, all_4_84, n8, n8, simplifying
% 261.50/67.10 | with (312), (313) gives:
% 261.50/67.10 | (315) all_4_84 = all_4_85
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (314), (315) imply:
% 261.50/67.10 | (316) all_4_85 = n5
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (316) implies:
% 261.50/67.10 | (317) all_4_85 = n5
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (95), (314) imply:
% 261.50/67.10 | (318) pred(n5) = all_4_12
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (39), (317) imply:
% 261.50/67.10 | (319) pred(n5) = all_4_15
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (2), (314) imply:
% 261.50/67.10 | (320) succ(n5) = all_4_14
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (99), (317) imply:
% 261.50/67.10 | (321) succ(n5) = all_4_11
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (57) with n6, all_4_11, n5, simplifying with (83),
% 261.50/67.10 | (321) gives:
% 261.50/67.10 | (322) all_4_11 = n6
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (57) with all_4_14, all_4_11, n5, simplifying with
% 261.50/67.10 | (320), (321) gives:
% 261.50/67.10 | (323) all_4_11 = all_4_14
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with n4, all_4_12, n5, simplifying with (50),
% 261.50/67.10 | (318) gives:
% 261.50/67.10 | (324) all_4_12 = n4
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with all_4_15, all_4_12, n5, simplifying with
% 261.50/67.10 | (318), (319) gives:
% 261.50/67.10 | (325) all_4_12 = all_4_15
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (322), (323) imply:
% 261.50/67.10 | (326) all_4_14 = n6
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (324), (325) imply:
% 261.50/67.10 | (327) all_4_15 = n4
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (67), (322), (324) imply:
% 261.50/67.10 | (328) sum(n4, n6) = all_4_10
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (49), (324), (326) imply:
% 261.50/67.10 | (329) sum(n4, n6) = all_4_8
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (70), (322), (327) imply:
% 261.50/67.10 | (330) sum(n4, n6) = all_4_9
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (40), (326), (327) imply:
% 261.50/67.10 | (331) sum(n4, n6) = all_4_13
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n10, all_4_9, n6, n4, simplifying with
% 261.50/67.10 | (9), (330) gives:
% 261.50/67.10 | (332) all_4_9 = n10
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_10, all_4_9, n6, n4, simplifying
% 261.50/67.10 | with (328), (330) gives:
% 261.50/67.10 | (333) all_4_9 = all_4_10
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_9, all_4_8, n6, n4, simplifying
% 261.50/67.10 | with (329), (330) gives:
% 261.50/67.10 | (334) all_4_8 = all_4_9
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_13, all_4_8, n6, n4, simplifying
% 261.50/67.10 | with (329), (331) gives:
% 261.50/67.10 | (335) all_4_8 = all_4_13
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (334), (335) imply:
% 261.50/67.10 | (336) all_4_9 = all_4_13
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (336) implies:
% 261.50/67.10 | (337) all_4_9 = all_4_13
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (332), (333) imply:
% 261.50/67.10 | (338) all_4_10 = n10
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (333), (337) imply:
% 261.50/67.10 | (339) all_4_10 = all_4_13
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (338), (339) imply:
% 261.50/67.10 | (340) all_4_13 = n10
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (335), (340) imply:
% 261.50/67.10 | (341) all_4_8 = n10
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (21), (332), (341) imply:
% 261.50/67.10 | (342) sum(n10, n10) = all_4_82
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (87), (338), (340) imply:
% 261.50/67.10 | (343) sum(n10, n10) = all_4_83
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n9, all_4_82, n10, n10, simplifying with
% 261.50/67.10 | (47), (342) gives:
% 261.50/67.10 | (344) all_4_82 = n9
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_83, all_4_82, n10, n10, simplifying
% 261.50/67.10 | with (342), (343) gives:
% 261.50/67.10 | (345) all_4_82 = all_4_83
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (344), (345) imply:
% 261.50/67.10 | (346) all_4_83 = n9
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (346) implies:
% 261.50/67.10 | (347) all_4_83 = n9
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (13), (344), (347) imply:
% 261.50/67.10 | (348) $false
% 261.50/67.10 |
% 261.50/67.10 | CLOSE: (348) is inconsistent.
% 261.50/67.10 |
% 261.50/67.10 End of proof
% 261.50/67.10
% 261.50/67.10 Sub-proof #190 shows that the following formulas are inconsistent:
% 261.50/67.10 ----------------------------------------------------------------
% 261.50/67.10 (1) sum(all_4_28, all_4_27) = all_4_26
% 261.50/67.10 (2) succ(all_4_84) = all_4_14
% 261.50/67.10 (3) succ(all_4_95) = all_4_51
% 261.50/67.10 (4) succ(all_4_87) = all_4_19
% 261.50/67.10 (5) sum(all_4_25, all_4_24) = all_4_86
% 261.50/67.10 (6) succ(n1) = n2
% 261.50/67.10 (7) succ(all_4_91) = all_4_35
% 261.50/67.10 (8) sum(n4, n6) = n10
% 261.50/67.10 (9) sum(all_4_21, all_4_18) = all_4_85
% 261.50/67.10 (10) succ(all_4_92) = all_4_46
% 261.50/67.10 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.50/67.10 (12) ~ (all_4_82 = all_4_83)
% 261.50/67.10 (13) succ(all_4_89) = all_4_27
% 261.50/67.10 (14) sum(n2, n2) = n4
% 261.50/67.10 (15) pred(all_4_95) = all_4_55
% 261.50/67.10 (16) sum(all_4_44, all_4_46) = all_4_40
% 261.50/67.10 (17) sum(all_4_28, all_4_30) = all_4_24
% 261.50/67.10 (18) sum(all_4_20, all_4_19) = all_4_18
% 261.50/67.10 (19) succ(n9) = n10
% 261.50/67.10 (20) sum(all_4_9, all_4_8) = all_4_82
% 261.50/67.10 (21) sum(all_4_52, all_4_54) = all_4_48
% 261.50/67.10 (22) sum(all_4_60, all_4_62) = all_4_56
% 261.50/67.10 (23) sum(all_4_71, all_4_70) = all_4_69
% 261.50/67.10 (24) sum(all_4_55, all_4_54) = all_4_53
% 261.50/67.10 (25) sum(all_4_23, all_4_22) = all_4_21
% 261.50/67.10 (26) sum(n2, n4) = n6
% 261.50/67.10 (27) sum(all_4_63, all_4_59) = all_4_57
% 261.50/67.10 (28) sum(all_4_31, all_4_27) = all_4_25
% 261.50/67.10 (29) sum(all_4_63, all_4_62) = all_4_61
% 261.50/67.10 (30) succ(all_4_94) = all_4_54
% 261.50/67.10 (31) sum(all_4_37, all_4_34) = all_4_89
% 261.50/67.10 (32) sum(n8, n8) = n5
% 261.50/67.10 (33) succ(all_4_86) = all_4_22
% 261.50/67.10 (34) pred(all_4_99) = all_4_71
% 261.50/67.10 (35) pred(all_4_86) = all_4_20
% 261.50/67.10 (36) succ(all_4_90) = all_4_38
% 261.50/67.10 (37) pred(all_4_88) = all_4_28
% 261.50/67.10 (38) pred(all_4_85) = all_4_15
% 261.50/67.10 (39) sum(all_4_15, all_4_14) = all_4_13
% 261.50/67.10 (40) sum(all_4_31, all_4_30) = all_4_29
% 261.50/67.10 (41) sum(n8, n10) = n7
% 261.50/67.10 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.50/67.10 (43) sum(n0, n2) = n2
% 261.50/67.10 (44) sum(all_4_33, all_4_32) = all_4_88
% 261.50/67.10 (45) sum(n3, n5) = n8
% 261.50/67.10 (46) sum(n10, n10) = n9
% 261.50/67.10 (47) sum(all_4_47, all_4_43) = all_4_41
% 261.50/67.10 (48) sum(all_4_12, all_4_14) = all_4_8
% 261.50/67.10 (49) pred(n5) = n4
% 261.50/67.10 (50) sum(all_4_29, all_4_26) = all_4_87
% 261.50/67.10 (51) pred(all_4_91) = all_4_39
% 261.50/67.10 (52) pred(all_4_89) = all_4_31
% 261.50/67.10 (53) pred(all_4_92) = all_4_44
% 261.50/67.10 (54) sum(all_4_65, all_4_64) = all_4_96
% 261.50/67.10 (55) pred(n4) = n3
% 261.50/67.10 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.50/67.10 | ~ (succ(v2) = v0))
% 261.50/67.10 (57) pred(all_4_97) = all_4_63
% 261.50/67.10 (58) succ(all_4_99) = all_4_67
% 261.50/67.10 (59) pred(n9) = n8
% 261.50/67.10 (60) succ(n3) = n4
% 261.50/67.10 (61) pred(all_4_96) = all_4_60
% 261.50/67.10 (62) succ(all_4_96) = all_4_62
% 261.50/67.10 (63) pred(n3) = n2
% 261.50/67.10 (64) succ(all_4_88) = all_4_30
% 261.50/67.10 (65) sum(all_4_20, all_4_22) = all_4_16
% 261.50/67.10 (66) sum(all_4_12, all_4_11) = all_4_10
% 261.50/67.10 (67) sum(all_4_55, all_4_51) = all_4_49
% 261.50/67.10 (68) sum(all_4_36, all_4_35) = all_4_34
% 261.50/67.10 (69) sum(all_4_15, all_4_11) = all_4_9
% 261.50/67.10 (70) sum(all_4_47, all_4_46) = all_4_45
% 261.50/67.10 (71) pred(all_4_93) = all_4_47
% 261.50/67.10 (72) sum(all_4_71, all_4_67) = all_4_65
% 261.50/67.10 (73) all_4_98 = n3
% 261.50/67.10 (74) sum(all_4_60, all_4_59) = all_4_58
% 261.50/67.10 (75) sum(all_4_41, all_4_40) = all_4_90
% 261.50/67.10 (76) sum(all_4_68, all_4_67) = all_4_66
% 261.50/67.10 (77) sum(all_4_39, all_4_35) = all_4_33
% 261.50/67.10 (78) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.50/67.10 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.50/67.10 (79) pred(all_4_87) = all_4_23
% 261.50/67.10 (80) sum(all_4_45, all_4_42) = all_4_91
% 261.50/67.10 (81) sum(all_4_39, all_4_38) = all_4_37
% 261.50/67.10 (82) sum(n6, n6) = n1
% 261.50/67.10 (83) sum(n7, n7) = all_4_99
% 261.50/67.10 (84) sum(all_4_44, all_4_43) = all_4_42
% 261.50/67.10 (85) succ(n5) = n6
% 261.50/67.10 (86) sum(all_4_69, all_4_66) = all_4_97
% 261.50/67.10 (87) succ(n4) = n5
% 261.50/67.10 (88) sum(all_4_17, all_4_16) = all_4_84
% 261.50/67.10 (89) sum(all_4_13, all_4_10) = all_4_83
% 261.50/67.10 (90) succ(all_4_98) = all_4_70
% 261.50/67.10 (91) all_4_99 = n3
% 261.50/67.10 (92) pred(all_4_90) = all_4_36
% 261.50/67.10 (93) pred(n1) = n0
% 261.50/67.10 (94) sum(all_4_68, all_4_70) = all_4_64
% 261.50/67.10 (95) succ(all_4_97) = all_4_59
% 261.50/67.10 (96) sum(all_4_36, all_4_38) = all_4_32
% 261.50/67.10 (97) pred(all_4_84) = all_4_12
% 261.50/67.10 (98) sum(all_4_61, all_4_58) = all_4_95
% 261.50/67.10 (99) succ(all_4_85) = all_4_11
% 261.50/67.10 (100) sum(all_4_49, all_4_48) = all_4_92
% 261.50/67.10 (101) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.50/67.10 | ~ (pred(v2) = v0))
% 261.50/67.10 (102) sum(all_4_52, all_4_51) = all_4_50
% 261.50/67.10 (103) sum(all_4_53, all_4_50) = all_4_93
% 261.50/67.10 (104) succ(all_4_93) = all_4_43
% 261.50/67.10 (105) pred(all_4_98) = all_4_68
% 261.50/67.10 (106) pred(all_4_94) = all_4_52
% 261.50/67.10
% 261.50/67.10 Begin of proof
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (73), (105) imply:
% 261.50/67.10 | (107) pred(n3) = all_4_68
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (34), (91) imply:
% 261.50/67.10 | (108) pred(n3) = all_4_71
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (73), (90) imply:
% 261.50/67.10 | (109) succ(n3) = all_4_70
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (58), (91) imply:
% 261.50/67.10 | (110) succ(n3) = all_4_67
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (83), (91) imply:
% 261.50/67.10 | (111) sum(n7, n7) = n3
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (56) with n4, all_4_67, n3, simplifying with (60),
% 261.50/67.10 | (110) gives:
% 261.50/67.10 | (112) all_4_67 = n4
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (56) with all_4_70, all_4_67, n3, simplifying with
% 261.50/67.10 | (109), (110) gives:
% 261.50/67.10 | (113) all_4_67 = all_4_70
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with n2, all_4_68, n3, simplifying with (63),
% 261.50/67.10 | (107) gives:
% 261.50/67.10 | (114) all_4_68 = n2
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with all_4_71, all_4_68, n3, simplifying with
% 261.50/67.10 | (107), (108) gives:
% 261.50/67.10 | (115) all_4_68 = all_4_71
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (112), (113) imply:
% 261.50/67.10 | (116) all_4_70 = n4
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (114), (115) imply:
% 261.50/67.10 | (117) all_4_71 = n2
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (76), (112), (114) imply:
% 261.50/67.10 | (118) sum(n2, n4) = all_4_66
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (94), (114), (116) imply:
% 261.50/67.10 | (119) sum(n2, n4) = all_4_64
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (72), (112), (117) imply:
% 261.50/67.10 | (120) sum(n2, n4) = all_4_65
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (23), (116), (117) imply:
% 261.50/67.10 | (121) sum(n2, n4) = all_4_69
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n6, all_4_65, n4, n2, simplifying with
% 261.50/67.10 | (26), (120) gives:
% 261.50/67.10 | (122) all_4_65 = n6
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_66, all_4_65, n4, n2, simplifying
% 261.50/67.10 | with (118), (120) gives:
% 261.50/67.10 | (123) all_4_65 = all_4_66
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_66, all_4_64, n4, n2, simplifying
% 261.50/67.10 | with (118), (119) gives:
% 261.50/67.10 | (124) all_4_64 = all_4_66
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_69, all_4_64, n4, n2, simplifying
% 261.50/67.10 | with (119), (121) gives:
% 261.50/67.10 | (125) all_4_64 = all_4_69
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (124), (125) imply:
% 261.50/67.10 | (126) all_4_66 = all_4_69
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (126) implies:
% 261.50/67.10 | (127) all_4_66 = all_4_69
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (122), (123) imply:
% 261.50/67.10 | (128) all_4_66 = n6
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (128) implies:
% 261.50/67.10 | (129) all_4_66 = n6
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (127), (129) imply:
% 261.50/67.10 | (130) all_4_69 = n6
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (125), (130) imply:
% 261.50/67.10 | (131) all_4_64 = n6
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (54), (122), (131) imply:
% 261.50/67.10 | (132) sum(n6, n6) = all_4_96
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (86), (129), (130) imply:
% 261.50/67.10 | (133) sum(n6, n6) = all_4_97
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n1, all_4_96, n6, n6, simplifying with
% 261.50/67.10 | (82), (132) gives:
% 261.50/67.10 | (134) all_4_96 = n1
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_97, all_4_96, n6, n6, simplifying
% 261.50/67.10 | with (132), (133) gives:
% 261.50/67.10 | (135) all_4_96 = all_4_97
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (134), (135) imply:
% 261.50/67.10 | (136) all_4_97 = n1
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (136) implies:
% 261.50/67.10 | (137) all_4_97 = n1
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (61), (134) imply:
% 261.50/67.10 | (138) pred(n1) = all_4_60
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (57), (137) imply:
% 261.50/67.10 | (139) pred(n1) = all_4_63
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (62), (134) imply:
% 261.50/67.10 | (140) succ(n1) = all_4_62
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (95), (137) imply:
% 261.50/67.10 | (141) succ(n1) = all_4_59
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (56) with n2, all_4_59, n1, simplifying with (6),
% 261.50/67.10 | (141) gives:
% 261.50/67.10 | (142) all_4_59 = n2
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (56) with all_4_62, all_4_59, n1, simplifying with
% 261.50/67.10 | (140), (141) gives:
% 261.50/67.10 | (143) all_4_59 = all_4_62
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with n0, all_4_60, n1, simplifying with (93),
% 261.50/67.10 | (138) gives:
% 261.50/67.10 | (144) all_4_60 = n0
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with all_4_63, all_4_60, n1, simplifying with
% 261.50/67.10 | (138), (139) gives:
% 261.50/67.10 | (145) all_4_60 = all_4_63
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (142), (143) imply:
% 261.50/67.10 | (146) all_4_62 = n2
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (144), (145) imply:
% 261.50/67.10 | (147) all_4_63 = n0
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (74), (142), (144) imply:
% 261.50/67.10 | (148) sum(n0, n2) = all_4_58
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (22), (144), (146) imply:
% 261.50/67.10 | (149) sum(n0, n2) = all_4_56
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (27), (142), (147) imply:
% 261.50/67.10 | (150) sum(n0, n2) = all_4_57
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (29), (146), (147) imply:
% 261.50/67.10 | (151) sum(n0, n2) = all_4_61
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n2, all_4_57, n2, n0, simplifying with
% 261.50/67.10 | (43), (150) gives:
% 261.50/67.10 | (152) all_4_57 = n2
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_58, all_4_57, n2, n0, simplifying
% 261.50/67.10 | with (148), (150) gives:
% 261.50/67.10 | (153) all_4_57 = all_4_58
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_57, all_4_56, n2, n0, simplifying
% 261.50/67.10 | with (149), (150) gives:
% 261.50/67.10 | (154) all_4_56 = all_4_57
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_61, all_4_56, n2, n0, simplifying
% 261.50/67.10 | with (149), (151) gives:
% 261.50/67.10 | (155) all_4_56 = all_4_61
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (154), (155) imply:
% 261.50/67.10 | (156) all_4_57 = all_4_61
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (156) implies:
% 261.50/67.10 | (157) all_4_57 = all_4_61
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (152), (153) imply:
% 261.50/67.10 | (158) all_4_58 = n2
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (153), (157) imply:
% 261.50/67.10 | (159) all_4_58 = all_4_61
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (158), (159) imply:
% 261.50/67.10 | (160) all_4_61 = n2
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (155), (160) imply:
% 261.50/67.10 | (161) all_4_56 = n2
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (42), (152), (161) imply:
% 261.50/67.10 | (162) sum(n2, n2) = all_4_94
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (98), (158), (160) imply:
% 261.50/67.10 | (163) sum(n2, n2) = all_4_95
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n4, all_4_94, n2, n2, simplifying with
% 261.50/67.10 | (14), (162) gives:
% 261.50/67.10 | (164) all_4_94 = n4
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_95, all_4_94, n2, n2, simplifying
% 261.50/67.10 | with (162), (163) gives:
% 261.50/67.10 | (165) all_4_94 = all_4_95
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (164), (165) imply:
% 261.50/67.10 | (166) all_4_95 = n4
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (106), (164) imply:
% 261.50/67.10 | (167) pred(n4) = all_4_52
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (15), (166) imply:
% 261.50/67.10 | (168) pred(n4) = all_4_55
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (30), (164) imply:
% 261.50/67.10 | (169) succ(n4) = all_4_54
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (3), (166) imply:
% 261.50/67.10 | (170) succ(n4) = all_4_51
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (56) with n5, all_4_51, n4, simplifying with (87),
% 261.50/67.10 | (170) gives:
% 261.50/67.10 | (171) all_4_51 = n5
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (56) with all_4_54, all_4_51, n4, simplifying with
% 261.50/67.10 | (169), (170) gives:
% 261.50/67.10 | (172) all_4_51 = all_4_54
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with n3, all_4_52, n4, simplifying with (55),
% 261.50/67.10 | (167) gives:
% 261.50/67.10 | (173) all_4_52 = n3
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (101) with all_4_55, all_4_52, n4, simplifying with
% 261.50/67.10 | (167), (168) gives:
% 261.50/67.10 | (174) all_4_52 = all_4_55
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (171), (172) imply:
% 261.50/67.10 | (175) all_4_54 = n5
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (173), (174) imply:
% 261.50/67.10 | (176) all_4_55 = n3
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (176) implies:
% 261.50/67.10 | (177) all_4_55 = n3
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (102), (171), (173) imply:
% 261.50/67.10 | (178) sum(n3, n5) = all_4_50
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (21), (173), (175) imply:
% 261.50/67.10 | (179) sum(n3, n5) = all_4_48
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (67), (171), (177) imply:
% 261.50/67.10 | (180) sum(n3, n5) = all_4_49
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (24), (175), (177) imply:
% 261.50/67.10 | (181) sum(n3, n5) = all_4_53
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with n8, all_4_49, n5, n3, simplifying with
% 261.50/67.10 | (45), (180) gives:
% 261.50/67.10 | (182) all_4_49 = n8
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_50, all_4_49, n5, n3, simplifying
% 261.50/67.10 | with (178), (180) gives:
% 261.50/67.10 | (183) all_4_49 = all_4_50
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_49, all_4_48, n5, n3, simplifying
% 261.50/67.10 | with (179), (180) gives:
% 261.50/67.10 | (184) all_4_48 = all_4_49
% 261.50/67.10 |
% 261.50/67.10 | GROUND_INST: instantiating (78) with all_4_53, all_4_48, n5, n3, simplifying
% 261.50/67.10 | with (179), (181) gives:
% 261.50/67.10 | (185) all_4_48 = all_4_53
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (184), (185) imply:
% 261.50/67.10 | (186) all_4_49 = all_4_53
% 261.50/67.10 |
% 261.50/67.10 | SIMP: (186) implies:
% 261.50/67.10 | (187) all_4_49 = all_4_53
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (182), (183) imply:
% 261.50/67.10 | (188) all_4_50 = n8
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (183), (187) imply:
% 261.50/67.10 | (189) all_4_50 = all_4_53
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (188), (189) imply:
% 261.50/67.10 | (190) all_4_53 = n8
% 261.50/67.10 |
% 261.50/67.10 | COMBINE_EQS: (185), (190) imply:
% 261.50/67.10 | (191) all_4_48 = n8
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (100), (182), (191) imply:
% 261.50/67.10 | (192) sum(n8, n8) = all_4_92
% 261.50/67.10 |
% 261.50/67.10 | REDUCE: (103), (188), (190) imply:
% 261.50/67.10 | (193) sum(n8, n8) = all_4_93
% 261.50/67.10 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with n5, all_4_92, n8, n8, simplifying with
% 261.50/67.11 | (32), (192) gives:
% 261.50/67.11 | (194) all_4_92 = n5
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_93, all_4_92, n8, n8, simplifying
% 261.50/67.11 | with (192), (193) gives:
% 261.50/67.11 | (195) all_4_92 = all_4_93
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (194), (195) imply:
% 261.50/67.11 | (196) all_4_93 = n5
% 261.50/67.11 |
% 261.50/67.11 | SIMP: (196) implies:
% 261.50/67.11 | (197) all_4_93 = n5
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (53), (194) imply:
% 261.50/67.11 | (198) pred(n5) = all_4_44
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (71), (197) imply:
% 261.50/67.11 | (199) pred(n5) = all_4_47
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (10), (194) imply:
% 261.50/67.11 | (200) succ(n5) = all_4_46
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (104), (197) imply:
% 261.50/67.11 | (201) succ(n5) = all_4_43
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (56) with n6, all_4_43, n5, simplifying with (85),
% 261.50/67.11 | (201) gives:
% 261.50/67.11 | (202) all_4_43 = n6
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (56) with all_4_46, all_4_43, n5, simplifying with
% 261.50/67.11 | (200), (201) gives:
% 261.50/67.11 | (203) all_4_43 = all_4_46
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (101) with n4, all_4_44, n5, simplifying with (49),
% 261.50/67.11 | (198) gives:
% 261.50/67.11 | (204) all_4_44 = n4
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (101) with all_4_47, all_4_44, n5, simplifying with
% 261.50/67.11 | (198), (199) gives:
% 261.50/67.11 | (205) all_4_44 = all_4_47
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (202), (203) imply:
% 261.50/67.11 | (206) all_4_46 = n6
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (204), (205) imply:
% 261.50/67.11 | (207) all_4_47 = n4
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (84), (202), (204) imply:
% 261.50/67.11 | (208) sum(n4, n6) = all_4_42
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (16), (204), (206) imply:
% 261.50/67.11 | (209) sum(n4, n6) = all_4_40
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (47), (202), (207) imply:
% 261.50/67.11 | (210) sum(n4, n6) = all_4_41
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (70), (206), (207) imply:
% 261.50/67.11 | (211) sum(n4, n6) = all_4_45
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with n10, all_4_41, n6, n4, simplifying with
% 261.50/67.11 | (8), (210) gives:
% 261.50/67.11 | (212) all_4_41 = n10
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_42, all_4_41, n6, n4, simplifying
% 261.50/67.11 | with (208), (210) gives:
% 261.50/67.11 | (213) all_4_41 = all_4_42
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_41, all_4_40, n6, n4, simplifying
% 261.50/67.11 | with (209), (210) gives:
% 261.50/67.11 | (214) all_4_40 = all_4_41
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_45, all_4_40, n6, n4, simplifying
% 261.50/67.11 | with (209), (211) gives:
% 261.50/67.11 | (215) all_4_40 = all_4_45
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (214), (215) imply:
% 261.50/67.11 | (216) all_4_41 = all_4_45
% 261.50/67.11 |
% 261.50/67.11 | SIMP: (216) implies:
% 261.50/67.11 | (217) all_4_41 = all_4_45
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (212), (213) imply:
% 261.50/67.11 | (218) all_4_42 = n10
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (213), (217) imply:
% 261.50/67.11 | (219) all_4_42 = all_4_45
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (218), (219) imply:
% 261.50/67.11 | (220) all_4_45 = n10
% 261.50/67.11 |
% 261.50/67.11 | SIMP: (220) implies:
% 261.50/67.11 | (221) all_4_45 = n10
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (215), (221) imply:
% 261.50/67.11 | (222) all_4_40 = n10
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (75), (212), (222) imply:
% 261.50/67.11 | (223) sum(n10, n10) = all_4_90
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (80), (218), (221) imply:
% 261.50/67.11 | (224) sum(n10, n10) = all_4_91
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with n9, all_4_90, n10, n10, simplifying with
% 261.50/67.11 | (46), (223) gives:
% 261.50/67.11 | (225) all_4_90 = n9
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_91, all_4_90, n10, n10, simplifying
% 261.50/67.11 | with (223), (224) gives:
% 261.50/67.11 | (226) all_4_90 = all_4_91
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (225), (226) imply:
% 261.50/67.11 | (227) all_4_91 = n9
% 261.50/67.11 |
% 261.50/67.11 | SIMP: (227) implies:
% 261.50/67.11 | (228) all_4_91 = n9
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (92), (225) imply:
% 261.50/67.11 | (229) pred(n9) = all_4_36
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (51), (228) imply:
% 261.50/67.11 | (230) pred(n9) = all_4_39
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (36), (225) imply:
% 261.50/67.11 | (231) succ(n9) = all_4_38
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (7), (228) imply:
% 261.50/67.11 | (232) succ(n9) = all_4_35
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (56) with n10, all_4_35, n9, simplifying with (19),
% 261.50/67.11 | (232) gives:
% 261.50/67.11 | (233) all_4_35 = n10
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (56) with all_4_38, all_4_35, n9, simplifying with
% 261.50/67.11 | (231), (232) gives:
% 261.50/67.11 | (234) all_4_35 = all_4_38
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (101) with n8, all_4_36, n9, simplifying with (59),
% 261.50/67.11 | (229) gives:
% 261.50/67.11 | (235) all_4_36 = n8
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (101) with all_4_39, all_4_36, n9, simplifying with
% 261.50/67.11 | (229), (230) gives:
% 261.50/67.11 | (236) all_4_36 = all_4_39
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (233), (234) imply:
% 261.50/67.11 | (237) all_4_38 = n10
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (235), (236) imply:
% 261.50/67.11 | (238) all_4_39 = n8
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (68), (233), (235) imply:
% 261.50/67.11 | (239) sum(n8, n10) = all_4_34
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (96), (235), (237) imply:
% 261.50/67.11 | (240) sum(n8, n10) = all_4_32
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (77), (233), (238) imply:
% 261.50/67.11 | (241) sum(n8, n10) = all_4_33
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (81), (237), (238) imply:
% 261.50/67.11 | (242) sum(n8, n10) = all_4_37
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with n7, all_4_33, n10, n8, simplifying with
% 261.50/67.11 | (41), (241) gives:
% 261.50/67.11 | (243) all_4_33 = n7
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_34, all_4_33, n10, n8, simplifying
% 261.50/67.11 | with (239), (241) gives:
% 261.50/67.11 | (244) all_4_33 = all_4_34
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_33, all_4_32, n10, n8, simplifying
% 261.50/67.11 | with (240), (241) gives:
% 261.50/67.11 | (245) all_4_32 = all_4_33
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_37, all_4_32, n10, n8, simplifying
% 261.50/67.11 | with (240), (242) gives:
% 261.50/67.11 | (246) all_4_32 = all_4_37
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (245), (246) imply:
% 261.50/67.11 | (247) all_4_33 = all_4_37
% 261.50/67.11 |
% 261.50/67.11 | SIMP: (247) implies:
% 261.50/67.11 | (248) all_4_33 = all_4_37
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (243), (244) imply:
% 261.50/67.11 | (249) all_4_34 = n7
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (244), (248) imply:
% 261.50/67.11 | (250) all_4_34 = all_4_37
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (249), (250) imply:
% 261.50/67.11 | (251) all_4_37 = n7
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (246), (251) imply:
% 261.50/67.11 | (252) all_4_32 = n7
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (44), (243), (252) imply:
% 261.50/67.11 | (253) sum(n7, n7) = all_4_88
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (31), (249), (251) imply:
% 261.50/67.11 | (254) sum(n7, n7) = all_4_89
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with n3, all_4_88, n7, n7, simplifying with
% 261.50/67.11 | (111), (253) gives:
% 261.50/67.11 | (255) all_4_88 = n3
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_89, all_4_88, n7, n7, simplifying
% 261.50/67.11 | with (253), (254) gives:
% 261.50/67.11 | (256) all_4_88 = all_4_89
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (255), (256) imply:
% 261.50/67.11 | (257) all_4_89 = n3
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (37), (255) imply:
% 261.50/67.11 | (258) pred(n3) = all_4_28
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (52), (257) imply:
% 261.50/67.11 | (259) pred(n3) = all_4_31
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (64), (255) imply:
% 261.50/67.11 | (260) succ(n3) = all_4_30
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (13), (257) imply:
% 261.50/67.11 | (261) succ(n3) = all_4_27
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (56) with n4, all_4_27, n3, simplifying with (60),
% 261.50/67.11 | (261) gives:
% 261.50/67.11 | (262) all_4_27 = n4
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (56) with all_4_30, all_4_27, n3, simplifying with
% 261.50/67.11 | (260), (261) gives:
% 261.50/67.11 | (263) all_4_27 = all_4_30
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (101) with n2, all_4_28, n3, simplifying with (63),
% 261.50/67.11 | (258) gives:
% 261.50/67.11 | (264) all_4_28 = n2
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (101) with all_4_31, all_4_28, n3, simplifying with
% 261.50/67.11 | (258), (259) gives:
% 261.50/67.11 | (265) all_4_28 = all_4_31
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (262), (263) imply:
% 261.50/67.11 | (266) all_4_30 = n4
% 261.50/67.11 |
% 261.50/67.11 | COMBINE_EQS: (264), (265) imply:
% 261.50/67.11 | (267) all_4_31 = n2
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (1), (262), (264) imply:
% 261.50/67.11 | (268) sum(n2, n4) = all_4_26
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (17), (264), (266) imply:
% 261.50/67.11 | (269) sum(n2, n4) = all_4_24
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (28), (262), (267) imply:
% 261.50/67.11 | (270) sum(n2, n4) = all_4_25
% 261.50/67.11 |
% 261.50/67.11 | REDUCE: (40), (266), (267) imply:
% 261.50/67.11 | (271) sum(n2, n4) = all_4_29
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with n6, all_4_25, n4, n2, simplifying with
% 261.50/67.11 | (26), (270) gives:
% 261.50/67.11 | (272) all_4_25 = n6
% 261.50/67.11 |
% 261.50/67.11 | GROUND_INST: instantiating (78) with all_4_26, all_4_25, n4, n2, simplifying
% 261.50/67.11 | with (268), (270) gives:
% 261.50/67.11 | (273) all_4_25 = all_4_26
% 261.50/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_25, all_4_24, n4, n2, simplifying
% 261.59/67.11 | with (269), (270) gives:
% 261.59/67.11 | (274) all_4_24 = all_4_25
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_29, all_4_24, n4, n2, simplifying
% 261.59/67.11 | with (269), (271) gives:
% 261.59/67.11 | (275) all_4_24 = all_4_29
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (274), (275) imply:
% 261.59/67.11 | (276) all_4_25 = all_4_29
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (276) implies:
% 261.59/67.11 | (277) all_4_25 = all_4_29
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (272), (273) imply:
% 261.59/67.11 | (278) all_4_26 = n6
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (273), (277) imply:
% 261.59/67.11 | (279) all_4_26 = all_4_29
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (278), (279) imply:
% 261.59/67.11 | (280) all_4_29 = n6
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (275), (280) imply:
% 261.59/67.11 | (281) all_4_24 = n6
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (5), (272), (281) imply:
% 261.59/67.11 | (282) sum(n6, n6) = all_4_86
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (50), (278), (280) imply:
% 261.59/67.11 | (283) sum(n6, n6) = all_4_87
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with n1, all_4_86, n6, n6, simplifying with
% 261.59/67.11 | (82), (282) gives:
% 261.59/67.11 | (284) all_4_86 = n1
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_87, all_4_86, n6, n6, simplifying
% 261.59/67.11 | with (282), (283) gives:
% 261.59/67.11 | (285) all_4_86 = all_4_87
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (284), (285) imply:
% 261.59/67.11 | (286) all_4_87 = n1
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (286) implies:
% 261.59/67.11 | (287) all_4_87 = n1
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (35), (284) imply:
% 261.59/67.11 | (288) pred(n1) = all_4_20
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (79), (287) imply:
% 261.59/67.11 | (289) pred(n1) = all_4_23
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (33), (284) imply:
% 261.59/67.11 | (290) succ(n1) = all_4_22
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (4), (287) imply:
% 261.59/67.11 | (291) succ(n1) = all_4_19
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (56) with n2, all_4_19, n1, simplifying with (6),
% 261.59/67.11 | (291) gives:
% 261.59/67.11 | (292) all_4_19 = n2
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (56) with all_4_22, all_4_19, n1, simplifying with
% 261.59/67.11 | (290), (291) gives:
% 261.59/67.11 | (293) all_4_19 = all_4_22
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (101) with n0, all_4_20, n1, simplifying with (93),
% 261.59/67.11 | (288) gives:
% 261.59/67.11 | (294) all_4_20 = n0
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (101) with all_4_23, all_4_20, n1, simplifying with
% 261.59/67.11 | (288), (289) gives:
% 261.59/67.11 | (295) all_4_20 = all_4_23
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (292), (293) imply:
% 261.59/67.11 | (296) all_4_22 = n2
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (294), (295) imply:
% 261.59/67.11 | (297) all_4_23 = n0
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (18), (292), (294) imply:
% 261.59/67.11 | (298) sum(n0, n2) = all_4_18
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (65), (294), (296) imply:
% 261.59/67.11 | (299) sum(n0, n2) = all_4_16
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (11), (292), (297) imply:
% 261.59/67.11 | (300) sum(n0, n2) = all_4_17
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (25), (296), (297) imply:
% 261.59/67.11 | (301) sum(n0, n2) = all_4_21
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with n2, all_4_17, n2, n0, simplifying with
% 261.59/67.11 | (43), (300) gives:
% 261.59/67.11 | (302) all_4_17 = n2
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_18, all_4_17, n2, n0, simplifying
% 261.59/67.11 | with (298), (300) gives:
% 261.59/67.11 | (303) all_4_17 = all_4_18
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_17, all_4_16, n2, n0, simplifying
% 261.59/67.11 | with (299), (300) gives:
% 261.59/67.11 | (304) all_4_16 = all_4_17
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_21, all_4_16, n2, n0, simplifying
% 261.59/67.11 | with (299), (301) gives:
% 261.59/67.11 | (305) all_4_16 = all_4_21
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (304), (305) imply:
% 261.59/67.11 | (306) all_4_17 = all_4_21
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (306) implies:
% 261.59/67.11 | (307) all_4_17 = all_4_21
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (302), (303) imply:
% 261.59/67.11 | (308) all_4_18 = n2
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (303), (307) imply:
% 261.59/67.11 | (309) all_4_18 = all_4_21
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (308), (309) imply:
% 261.59/67.11 | (310) all_4_21 = n2
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (305), (310) imply:
% 261.59/67.11 | (311) all_4_16 = n2
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (88), (302), (311) imply:
% 261.59/67.11 | (312) sum(n2, n2) = all_4_84
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (9), (308), (310) imply:
% 261.59/67.11 | (313) sum(n2, n2) = all_4_85
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with n4, all_4_84, n2, n2, simplifying with
% 261.59/67.11 | (14), (312) gives:
% 261.59/67.11 | (314) all_4_84 = n4
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_85, all_4_84, n2, n2, simplifying
% 261.59/67.11 | with (312), (313) gives:
% 261.59/67.11 | (315) all_4_84 = all_4_85
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (314), (315) imply:
% 261.59/67.11 | (316) all_4_85 = n4
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (316) implies:
% 261.59/67.11 | (317) all_4_85 = n4
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (97), (314) imply:
% 261.59/67.11 | (318) pred(n4) = all_4_12
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (38), (317) imply:
% 261.59/67.11 | (319) pred(n4) = all_4_15
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (2), (314) imply:
% 261.59/67.11 | (320) succ(n4) = all_4_14
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (99), (317) imply:
% 261.59/67.11 | (321) succ(n4) = all_4_11
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (56) with n5, all_4_11, n4, simplifying with (87),
% 261.59/67.11 | (321) gives:
% 261.59/67.11 | (322) all_4_11 = n5
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (56) with all_4_14, all_4_11, n4, simplifying with
% 261.59/67.11 | (320), (321) gives:
% 261.59/67.11 | (323) all_4_11 = all_4_14
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (101) with n3, all_4_12, n4, simplifying with (55),
% 261.59/67.11 | (318) gives:
% 261.59/67.11 | (324) all_4_12 = n3
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (101) with all_4_15, all_4_12, n4, simplifying with
% 261.59/67.11 | (318), (319) gives:
% 261.59/67.11 | (325) all_4_12 = all_4_15
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (322), (323) imply:
% 261.59/67.11 | (326) all_4_14 = n5
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (324), (325) imply:
% 261.59/67.11 | (327) all_4_15 = n3
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (66), (322), (324) imply:
% 261.59/67.11 | (328) sum(n3, n5) = all_4_10
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (48), (324), (326) imply:
% 261.59/67.11 | (329) sum(n3, n5) = all_4_8
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (69), (322), (327) imply:
% 261.59/67.11 | (330) sum(n3, n5) = all_4_9
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (39), (326), (327) imply:
% 261.59/67.11 | (331) sum(n3, n5) = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with n8, all_4_9, n5, n3, simplifying with
% 261.59/67.11 | (45), (330) gives:
% 261.59/67.11 | (332) all_4_9 = n8
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_10, all_4_9, n5, n3, simplifying
% 261.59/67.11 | with (328), (330) gives:
% 261.59/67.11 | (333) all_4_9 = all_4_10
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_9, all_4_8, n5, n3, simplifying
% 261.59/67.11 | with (329), (330) gives:
% 261.59/67.11 | (334) all_4_8 = all_4_9
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_13, all_4_8, n5, n3, simplifying
% 261.59/67.11 | with (329), (331) gives:
% 261.59/67.11 | (335) all_4_8 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (334), (335) imply:
% 261.59/67.11 | (336) all_4_9 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (336) implies:
% 261.59/67.11 | (337) all_4_9 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (332), (333) imply:
% 261.59/67.11 | (338) all_4_10 = n8
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (333), (337) imply:
% 261.59/67.11 | (339) all_4_10 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (338), (339) imply:
% 261.59/67.11 | (340) all_4_13 = n8
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (335), (340) imply:
% 261.59/67.11 | (341) all_4_8 = n8
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (20), (332), (341) imply:
% 261.59/67.11 | (342) sum(n8, n8) = all_4_82
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (89), (338), (340) imply:
% 261.59/67.11 | (343) sum(n8, n8) = all_4_83
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with n5, all_4_82, n8, n8, simplifying with
% 261.59/67.11 | (32), (342) gives:
% 261.59/67.11 | (344) all_4_82 = n5
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (78) with all_4_83, all_4_82, n8, n8, simplifying
% 261.59/67.11 | with (342), (343) gives:
% 261.59/67.11 | (345) all_4_82 = all_4_83
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (344), (345) imply:
% 261.59/67.11 | (346) all_4_83 = n5
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (346) implies:
% 261.59/67.11 | (347) all_4_83 = n5
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (12), (344), (347) imply:
% 261.59/67.11 | (348) $false
% 261.59/67.11 |
% 261.59/67.11 | CLOSE: (348) is inconsistent.
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #191 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) ~ (all_4_82 = all_4_83)
% 261.59/67.11 (2) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.11 (3) sum(n2, n4) = n6
% 261.59/67.11 (4) succ(n3) = all_4_14
% 261.59/67.11 (5) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.11 (6) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.11 (7) succ(n3) = all_4_11
% 261.59/67.11 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.59/67.11 ~ (succ(v2) = v0))
% 261.59/67.11 (9) pred(n3) = n2
% 261.59/67.11 (10) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.11 (11) all_4_11 = n4
% 261.59/67.11 (12) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.11 (13) pred(n3) = all_4_15
% 261.59/67.11 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.11 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.11 (15) sum(n6, n6) = n1
% 261.59/67.11 (16) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.11 (17) pred(n3) = all_4_12
% 261.59/67.11 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.11 | ~ (pred(v2) = v0))
% 261.59/67.11
% 261.59/67.11 Begin of proof
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (8) with all_4_14, all_4_11, n3, simplifying with
% 261.59/67.11 | (4), (7) gives:
% 261.59/67.11 | (19) all_4_11 = all_4_14
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (18) with n2, all_4_12, n3, simplifying with (9),
% 261.59/67.11 | (17) gives:
% 261.59/67.11 | (20) all_4_12 = n2
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (18) with all_4_15, all_4_12, n3, simplifying with
% 261.59/67.11 | (13), (17) gives:
% 261.59/67.11 | (21) all_4_12 = all_4_15
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (11), (19) imply:
% 261.59/67.11 | (22) all_4_14 = n4
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (20), (21) imply:
% 261.59/67.11 | (23) all_4_15 = n2
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (10), (11), (20) imply:
% 261.59/67.11 | (24) sum(n2, n4) = all_4_10
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (6), (20), (22) imply:
% 261.59/67.11 | (25) sum(n2, n4) = all_4_8
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (11), (12), (23) imply:
% 261.59/67.11 | (26) sum(n2, n4) = all_4_9
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (5), (22), (23) imply:
% 261.59/67.11 | (27) sum(n2, n4) = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (14) with n6, all_4_9, n4, n2, simplifying with
% 261.59/67.11 | (3), (26) gives:
% 261.59/67.11 | (28) all_4_9 = n6
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (14) with all_4_10, all_4_9, n4, n2, simplifying
% 261.59/67.11 | with (24), (26) gives:
% 261.59/67.11 | (29) all_4_9 = all_4_10
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (14) with all_4_9, all_4_8, n4, n2, simplifying
% 261.59/67.11 | with (25), (26) gives:
% 261.59/67.11 | (30) all_4_8 = all_4_9
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (14) with all_4_13, all_4_8, n4, n2, simplifying
% 261.59/67.11 | with (25), (27) gives:
% 261.59/67.11 | (31) all_4_8 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (30), (31) imply:
% 261.59/67.11 | (32) all_4_9 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (32) implies:
% 261.59/67.11 | (33) all_4_9 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (28), (29) imply:
% 261.59/67.11 | (34) all_4_10 = n6
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (29), (33) imply:
% 261.59/67.11 | (35) all_4_10 = all_4_13
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (34), (35) imply:
% 261.59/67.11 | (36) all_4_13 = n6
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (31), (36) imply:
% 261.59/67.11 | (37) all_4_8 = n6
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (2), (28), (37) imply:
% 261.59/67.11 | (38) sum(n6, n6) = all_4_82
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (16), (34), (36) imply:
% 261.59/67.11 | (39) sum(n6, n6) = all_4_83
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (14) with n1, all_4_82, n6, n6, simplifying with
% 261.59/67.11 | (15), (38) gives:
% 261.59/67.11 | (40) all_4_82 = n1
% 261.59/67.11 |
% 261.59/67.11 | GROUND_INST: instantiating (14) with all_4_83, all_4_82, n6, n6, simplifying
% 261.59/67.11 | with (38), (39) gives:
% 261.59/67.11 | (41) all_4_82 = all_4_83
% 261.59/67.11 |
% 261.59/67.11 | COMBINE_EQS: (40), (41) imply:
% 261.59/67.11 | (42) all_4_83 = n1
% 261.59/67.11 |
% 261.59/67.11 | SIMP: (42) implies:
% 261.59/67.11 | (43) all_4_83 = n1
% 261.59/67.11 |
% 261.59/67.11 | REDUCE: (1), (40), (43) imply:
% 261.59/67.11 | (44) $false
% 261.59/67.11 |
% 261.59/67.11 | CLOSE: (44) is inconsistent.
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #192 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) all_4_88 = n7
% 261.59/67.11 (2) ~ (all_4_84 = all_4_85) | ~ (all_4_86 = all_4_87) | ~ (all_4_88 =
% 261.59/67.11 all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~
% 261.59/67.11 (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.59/67.11 all_4_99)
% 261.59/67.11 (3) all_4_86 = n6
% 261.59/67.11 (4) all_4_93 = n8
% 261.59/67.11 (5) all_4_90 = n10
% 261.59/67.11 (6) all_4_91 = n10
% 261.59/67.11 (7) all_4_87 = n6
% 261.59/67.11 (8) all_4_92 = n8
% 261.59/67.11 (9) all_4_98 = n7
% 261.59/67.11 (10) all_4_85 = n2
% 261.59/67.11 (11) all_4_84 = n2
% 261.59/67.11 (12) all_4_96 = n6
% 261.59/67.11 (13) all_4_99 = n7
% 261.59/67.11 (14) all_4_89 = n7
% 261.59/67.11 (15) all_4_95 = n2
% 261.59/67.11 (16) all_4_97 = n6
% 261.59/67.11 (17) all_4_94 = n2
% 261.59/67.11
% 261.59/67.11 Begin of proof
% 261.59/67.11 |
% 261.59/67.11 | BETA: splitting (2) gives:
% 261.59/67.11 |
% 261.59/67.11 | Case 1:
% 261.59/67.11 | |
% 261.59/67.11 | | (18) ~ (all_4_84 = all_4_85)
% 261.59/67.11 | |
% 261.59/67.11 | | REDUCE: (10), (11), (18) imply:
% 261.59/67.11 | | (19) $false
% 261.59/67.11 | |
% 261.59/67.11 | | CLOSE: (19) is inconsistent.
% 261.59/67.11 | |
% 261.59/67.11 | Case 2:
% 261.59/67.11 | |
% 261.59/67.11 | | (20) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 261.59/67.11 | | all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) |
% 261.59/67.11 | | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.11 | |
% 261.59/67.11 | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (12), (13), (14), (15),
% 261.59/67.11 | | (16), (17), (20) are inconsistent by sub-proof #193.
% 261.59/67.11 | |
% 261.59/67.11 | End of split
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #193 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) all_4_88 = n7
% 261.59/67.11 (2) all_4_86 = n6
% 261.59/67.11 (3) all_4_93 = n8
% 261.59/67.11 (4) all_4_90 = n10
% 261.59/67.11 (5) all_4_91 = n10
% 261.59/67.11 (6) all_4_87 = n6
% 261.59/67.11 (7) all_4_92 = n8
% 261.59/67.11 (8) all_4_98 = n7
% 261.59/67.11 (9) all_4_96 = n6
% 261.59/67.11 (10) ~ (all_4_86 = all_4_87) | ~ (all_4_88 = all_4_89) | ~ (all_4_90 =
% 261.59/67.11 all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~
% 261.59/67.11 (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.11 (11) all_4_99 = n7
% 261.59/67.11 (12) all_4_89 = n7
% 261.59/67.11 (13) all_4_95 = n2
% 261.59/67.11 (14) all_4_97 = n6
% 261.59/67.11 (15) all_4_94 = n2
% 261.59/67.11
% 261.59/67.11 Begin of proof
% 261.59/67.11 |
% 261.59/67.11 | BETA: splitting (10) gives:
% 261.59/67.11 |
% 261.59/67.11 | Case 1:
% 261.59/67.11 | |
% 261.59/67.11 | | (16) ~ (all_4_86 = all_4_87)
% 261.59/67.11 | |
% 261.59/67.11 | | REDUCE: (2), (6), (16) imply:
% 261.59/67.11 | | (17) $false
% 261.59/67.11 | |
% 261.59/67.11 | | CLOSE: (17) is inconsistent.
% 261.59/67.11 | |
% 261.59/67.11 | Case 2:
% 261.59/67.11 | |
% 261.59/67.11 | | (18) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.59/67.11 | | all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) |
% 261.59/67.11 | | ~ (all_4_98 = all_4_99)
% 261.59/67.11 | |
% 261.59/67.11 | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14), (15),
% 261.59/67.11 | | (18) are inconsistent by sub-proof #194.
% 261.59/67.11 | |
% 261.59/67.11 | End of split
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #194 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) all_4_88 = n7
% 261.59/67.11 (2) all_4_93 = n8
% 261.59/67.11 (3) all_4_90 = n10
% 261.59/67.11 (4) all_4_91 = n10
% 261.59/67.11 (5) all_4_92 = n8
% 261.59/67.11 (6) all_4_98 = n7
% 261.59/67.11 (7) all_4_96 = n6
% 261.59/67.11 (8) all_4_99 = n7
% 261.59/67.11 (9) all_4_89 = n7
% 261.59/67.11 (10) all_4_95 = n2
% 261.59/67.11 (11) all_4_97 = n6
% 261.59/67.11 (12) all_4_94 = n2
% 261.59/67.11 (13) ~ (all_4_88 = all_4_89) | ~ (all_4_90 = all_4_91) | ~ (all_4_92 =
% 261.59/67.11 all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~
% 261.59/67.11 (all_4_98 = all_4_99)
% 261.59/67.11
% 261.59/67.11 Begin of proof
% 261.59/67.11 |
% 261.59/67.11 | BETA: splitting (13) gives:
% 261.59/67.11 |
% 261.59/67.11 | Case 1:
% 261.59/67.11 | |
% 261.59/67.11 | | (14) ~ (all_4_88 = all_4_89)
% 261.59/67.11 | |
% 261.59/67.11 | | REDUCE: (1), (9), (14) imply:
% 261.59/67.11 | | (15) $false
% 261.59/67.11 | |
% 261.59/67.11 | | CLOSE: (15) is inconsistent.
% 261.59/67.11 | |
% 261.59/67.11 | Case 2:
% 261.59/67.11 | |
% 261.59/67.11 | | (16) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.59/67.11 | | all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.11 | |
% 261.59/67.11 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (16) are
% 261.59/67.11 | | inconsistent by sub-proof #195.
% 261.59/67.11 | |
% 261.59/67.11 | End of split
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #195 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) all_4_93 = n8
% 261.59/67.11 (2) all_4_90 = n10
% 261.59/67.11 (3) all_4_91 = n10
% 261.59/67.11 (4) all_4_92 = n8
% 261.59/67.11 (5) all_4_98 = n7
% 261.59/67.11 (6) all_4_96 = n6
% 261.59/67.11 (7) all_4_99 = n7
% 261.59/67.11 (8) all_4_95 = n2
% 261.59/67.11 (9) ~ (all_4_90 = all_4_91) | ~ (all_4_92 = all_4_93) | ~ (all_4_94 =
% 261.59/67.11 all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.11 (10) all_4_97 = n6
% 261.59/67.11 (11) all_4_94 = n2
% 261.59/67.11
% 261.59/67.11 Begin of proof
% 261.59/67.11 |
% 261.59/67.11 | BETA: splitting (9) gives:
% 261.59/67.11 |
% 261.59/67.11 | Case 1:
% 261.59/67.11 | |
% 261.59/67.11 | | (12) ~ (all_4_90 = all_4_91)
% 261.59/67.11 | |
% 261.59/67.11 | | REDUCE: (2), (3), (12) imply:
% 261.59/67.11 | | (13) $false
% 261.59/67.11 | |
% 261.59/67.11 | | CLOSE: (13) is inconsistent.
% 261.59/67.11 | |
% 261.59/67.11 | Case 2:
% 261.59/67.11 | |
% 261.59/67.11 | | (14) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.59/67.11 | | all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.11 | |
% 261.59/67.11 | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (10), (11), (14) are inconsistent
% 261.59/67.11 | | by sub-proof #196.
% 261.59/67.11 | |
% 261.59/67.11 | End of split
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #196 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) all_4_93 = n8
% 261.59/67.11 (2) ~ (all_4_92 = all_4_93) | ~ (all_4_94 = all_4_95) | ~ (all_4_96 =
% 261.59/67.11 all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.11 (3) all_4_92 = n8
% 261.59/67.11 (4) all_4_98 = n7
% 261.59/67.11 (5) all_4_96 = n6
% 261.59/67.11 (6) all_4_99 = n7
% 261.59/67.11 (7) all_4_95 = n2
% 261.59/67.11 (8) all_4_97 = n6
% 261.59/67.11 (9) all_4_94 = n2
% 261.59/67.11
% 261.59/67.11 Begin of proof
% 261.59/67.11 |
% 261.59/67.11 | BETA: splitting (2) gives:
% 261.59/67.11 |
% 261.59/67.11 | Case 1:
% 261.59/67.11 | |
% 261.59/67.11 | | (10) ~ (all_4_92 = all_4_93)
% 261.59/67.11 | |
% 261.59/67.11 | | REDUCE: (1), (3), (10) imply:
% 261.59/67.11 | | (11) $false
% 261.59/67.11 | |
% 261.59/67.11 | | CLOSE: (11) is inconsistent.
% 261.59/67.11 | |
% 261.59/67.11 | Case 2:
% 261.59/67.11 | |
% 261.59/67.11 | | (12) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.59/67.11 | | all_4_99)
% 261.59/67.11 | |
% 261.59/67.11 | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (12) are inconsistent by sub-proof
% 261.59/67.11 | | #197.
% 261.59/67.11 | |
% 261.59/67.11 | End of split
% 261.59/67.11 |
% 261.59/67.11 End of proof
% 261.59/67.11
% 261.59/67.11 Sub-proof #197 shows that the following formulas are inconsistent:
% 261.59/67.11 ----------------------------------------------------------------
% 261.59/67.11 (1) ~ (all_4_94 = all_4_95) | ~ (all_4_96 = all_4_97) | ~ (all_4_98 =
% 261.59/67.11 all_4_99)
% 261.59/67.12 (2) all_4_98 = n7
% 261.59/67.12 (3) all_4_96 = n6
% 261.59/67.12 (4) all_4_99 = n7
% 261.59/67.12 (5) all_4_95 = n2
% 261.59/67.12 (6) all_4_97 = n6
% 261.59/67.12 (7) all_4_94 = n2
% 261.59/67.12
% 261.59/67.12 Begin of proof
% 261.59/67.12 |
% 261.59/67.12 | BETA: splitting (1) gives:
% 261.59/67.12 |
% 261.59/67.12 | Case 1:
% 261.59/67.12 | |
% 261.59/67.12 | | (8) ~ (all_4_94 = all_4_95)
% 261.59/67.12 | |
% 261.59/67.12 | | REDUCE: (5), (7), (8) imply:
% 261.59/67.12 | | (9) $false
% 261.59/67.12 | |
% 261.59/67.12 | | CLOSE: (9) is inconsistent.
% 261.59/67.12 | |
% 261.59/67.12 | Case 2:
% 261.59/67.12 | |
% 261.59/67.12 | | (10) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.12 | |
% 261.59/67.12 | | REF_CLOSE: (2), (3), (4), (6), (10) are inconsistent by sub-proof #198.
% 261.59/67.12 | |
% 261.59/67.12 | End of split
% 261.59/67.12 |
% 261.59/67.12 End of proof
% 261.59/67.12
% 261.59/67.12 Sub-proof #198 shows that the following formulas are inconsistent:
% 261.59/67.12 ----------------------------------------------------------------
% 261.59/67.12 (1) all_4_98 = n7
% 261.59/67.12 (2) all_4_96 = n6
% 261.59/67.12 (3) all_4_99 = n7
% 261.59/67.12 (4) all_4_97 = n6
% 261.59/67.12 (5) ~ (all_4_96 = all_4_97) | ~ (all_4_98 = all_4_99)
% 261.59/67.12
% 261.59/67.12 Begin of proof
% 261.59/67.12 |
% 261.59/67.12 | BETA: splitting (5) gives:
% 261.59/67.12 |
% 261.59/67.12 | Case 1:
% 261.59/67.12 | |
% 261.59/67.12 | | (6) ~ (all_4_96 = all_4_97)
% 261.59/67.12 | |
% 261.59/67.12 | | REDUCE: (2), (4), (6) imply:
% 261.59/67.12 | | (7) $false
% 261.59/67.12 | |
% 261.59/67.12 | | CLOSE: (7) is inconsistent.
% 261.59/67.12 | |
% 261.59/67.12 | Case 2:
% 261.59/67.12 | |
% 261.59/67.12 | | (8) ~ (all_4_98 = all_4_99)
% 261.59/67.12 | |
% 261.59/67.12 | | REDUCE: (1), (3), (8) imply:
% 261.59/67.12 | | (9) $false
% 261.59/67.12 | |
% 261.59/67.12 | | CLOSE: (9) is inconsistent.
% 261.59/67.12 | |
% 261.59/67.12 | End of split
% 261.59/67.12 |
% 261.59/67.12 End of proof
% 261.59/67.12
% 261.59/67.12 Sub-proof #199 shows that the following formulas are inconsistent:
% 261.59/67.12 ----------------------------------------------------------------
% 261.59/67.12 (1) ~ (all_4_82 = all_4_83)
% 261.59/67.12 (2) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.12 (3) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.12 (4) all_4_11 = n3
% 261.59/67.12 (5) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.12 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) |
% 261.59/67.12 ~ (succ(v2) = v0))
% 261.59/67.12 (7) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.12 (8) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.12 (9) succ(n2) = all_4_14
% 261.59/67.12 (10) pred(n2) = all_4_12
% 261.59/67.12 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.12 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.12 (12) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.12 (13) pred(n2) = n1
% 261.59/67.12 (14) sum(n4, n4) = n8
% 261.59/67.12 (15) pred(n2) = all_4_15
% 261.59/67.12 (16) succ(n2) = all_4_11
% 261.59/67.12 (17) sum(n1, n3) = n4
% 261.59/67.12 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.12 | ~ (pred(v2) = v0))
% 261.59/67.12
% 261.59/67.12 Begin of proof
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (6) with all_4_14, all_4_11, n2, simplifying with
% 261.59/67.12 | (9), (16) gives:
% 261.59/67.12 | (19) all_4_11 = all_4_14
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (18) with n1, all_4_12, n2, simplifying with (10),
% 261.59/67.12 | (13) gives:
% 261.59/67.12 | (20) all_4_12 = n1
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (18) with all_4_15, all_4_12, n2, simplifying with
% 261.59/67.12 | (10), (15) gives:
% 261.59/67.12 | (21) all_4_12 = all_4_15
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (4), (19) imply:
% 261.59/67.12 | (22) all_4_14 = n3
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (20), (21) imply:
% 261.59/67.12 | (23) all_4_15 = n1
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (4), (7), (20) imply:
% 261.59/67.12 | (24) sum(n1, n3) = all_4_10
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (5), (20), (22) imply:
% 261.59/67.12 | (25) sum(n1, n3) = all_4_8
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (4), (8), (23) imply:
% 261.59/67.12 | (26) sum(n1, n3) = all_4_9
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (3), (22), (23) imply:
% 261.59/67.12 | (27) sum(n1, n3) = all_4_13
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (11) with n4, all_4_9, n3, n1, simplifying with
% 261.59/67.12 | (17), (26) gives:
% 261.59/67.12 | (28) all_4_9 = n4
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (11) with all_4_10, all_4_9, n3, n1, simplifying
% 261.59/67.12 | with (24), (26) gives:
% 261.59/67.12 | (29) all_4_9 = all_4_10
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (11) with all_4_9, all_4_8, n3, n1, simplifying
% 261.59/67.12 | with (25), (26) gives:
% 261.59/67.12 | (30) all_4_8 = all_4_9
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (11) with all_4_13, all_4_8, n3, n1, simplifying
% 261.59/67.12 | with (25), (27) gives:
% 261.59/67.12 | (31) all_4_8 = all_4_13
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (30), (31) imply:
% 261.59/67.12 | (32) all_4_9 = all_4_13
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (32) implies:
% 261.59/67.12 | (33) all_4_9 = all_4_13
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (28), (29) imply:
% 261.59/67.12 | (34) all_4_10 = n4
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (29), (33) imply:
% 261.59/67.12 | (35) all_4_10 = all_4_13
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (34), (35) imply:
% 261.59/67.12 | (36) all_4_13 = n4
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (31), (36) imply:
% 261.59/67.12 | (37) all_4_8 = n4
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (2), (28), (37) imply:
% 261.59/67.12 | (38) sum(n4, n4) = all_4_82
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (12), (34), (36) imply:
% 261.59/67.12 | (39) sum(n4, n4) = all_4_83
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (11) with n8, all_4_82, n4, n4, simplifying with
% 261.59/67.12 | (14), (38) gives:
% 261.59/67.12 | (40) all_4_82 = n8
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (11) with all_4_83, all_4_82, n4, n4, simplifying
% 261.59/67.12 | with (38), (39) gives:
% 261.59/67.12 | (41) all_4_82 = all_4_83
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (40), (41) imply:
% 261.59/67.12 | (42) all_4_83 = n8
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (42) implies:
% 261.59/67.12 | (43) all_4_83 = n8
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (1), (40), (43) imply:
% 261.59/67.12 | (44) $false
% 261.59/67.12 |
% 261.59/67.12 | CLOSE: (44) is inconsistent.
% 261.59/67.12 |
% 261.59/67.12 End of proof
% 261.59/67.12
% 261.59/67.12 Sub-proof #200 shows that the following formulas are inconsistent:
% 261.59/67.12 ----------------------------------------------------------------
% 261.59/67.12 (1) ~ (all_4_80 = all_4_81)
% 261.59/67.12 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.59/67.12 (3) succ(all_4_84) = all_4_14
% 261.59/67.12 (4) succ(all_4_95) = all_4_51
% 261.59/67.12 (5) succ(all_4_87) = all_4_19
% 261.59/67.12 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.59/67.12 (7) succ(n1) = n2
% 261.59/67.12 (8) succ(all_4_91) = all_4_35
% 261.59/67.12 (9) sum(n4, n6) = n10
% 261.59/67.12 (10) sum(all_4_21, all_4_18) = all_4_85
% 261.59/67.12 (11) succ(all_4_92) = all_4_46
% 261.59/67.12 (12) succ(all_4_83) = all_4_3
% 261.59/67.12 (13) sum(all_4_23, all_4_19) = all_4_17
% 261.59/67.12 (14) succ(all_4_89) = all_4_27
% 261.59/67.12 (15) sum(n2, n2) = n4
% 261.59/67.12 (16) pred(all_4_95) = all_4_55
% 261.59/67.12 (17) sum(all_4_44, all_4_46) = all_4_40
% 261.59/67.12 (18) all_4_98 = n9
% 261.59/67.12 (19) sum(all_4_7, all_4_3) = all_4_1
% 261.59/67.12 (20) sum(all_4_28, all_4_30) = all_4_24
% 261.59/67.12 (21) sum(all_4_20, all_4_19) = all_4_18
% 261.59/67.12 (22) succ(n9) = n10
% 261.59/67.12 (23) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.12 (24) sum(all_4_52, all_4_54) = all_4_48
% 261.59/67.12 (25) sum(all_4_4, all_4_3) = all_4_2
% 261.59/67.12 (26) sum(all_4_60, all_4_62) = all_4_56
% 261.59/67.12 (27) sum(all_4_71, all_4_70) = all_4_69
% 261.59/67.12 (28) sum(all_4_55, all_4_54) = all_4_53
% 261.59/67.12 (29) sum(all_4_23, all_4_22) = all_4_21
% 261.59/67.12 (30) sum(n2, n4) = n6
% 261.59/67.12 (31) sum(all_4_63, all_4_59) = all_4_57
% 261.59/67.12 (32) sum(all_4_31, all_4_27) = all_4_25
% 261.59/67.12 (33) sum(all_4_63, all_4_62) = all_4_61
% 261.59/67.12 (34) succ(all_4_94) = all_4_54
% 261.59/67.12 (35) sum(all_4_37, all_4_34) = all_4_89
% 261.59/67.12 (36) sum(n8, n8) = n5
% 261.59/67.12 (37) succ(all_4_86) = all_4_22
% 261.59/67.12 (38) pred(all_4_99) = all_4_71
% 261.59/67.12 (39) pred(all_4_86) = all_4_20
% 261.59/67.12 (40) succ(all_4_90) = all_4_38
% 261.59/67.12 (41) pred(all_4_88) = all_4_28
% 261.59/67.12 (42) pred(all_4_85) = all_4_15
% 261.59/67.12 (43) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.12 (44) sum(all_4_31, all_4_30) = all_4_29
% 261.59/67.12 (45) sum(n8, n10) = n7
% 261.59/67.12 (46) sum(all_4_57, all_4_56) = all_4_94
% 261.59/67.12 (47) sum(n0, n2) = n2
% 261.59/67.12 (48) sum(all_4_33, all_4_32) = all_4_88
% 261.59/67.12 (49) sum(n3, n5) = n8
% 261.59/67.12 (50) sum(all_4_47, all_4_43) = all_4_41
% 261.59/67.12 (51) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.12 (52) pred(n5) = n4
% 261.59/67.12 (53) sum(all_4_29, all_4_26) = all_4_87
% 261.59/67.12 (54) pred(all_4_91) = all_4_39
% 261.59/67.12 (55) pred(all_4_89) = all_4_31
% 261.59/67.12 (56) pred(all_4_92) = all_4_44
% 261.59/67.12 (57) sum(all_4_4, all_4_6) = all_4_0
% 261.59/67.12 (58) sum(all_4_65, all_4_64) = all_4_96
% 261.59/67.12 (59) pred(all_4_83) = all_4_7
% 261.59/67.12 (60) succ(all_4_82) = all_4_6
% 261.59/67.12 (61) pred(n4) = n3
% 261.59/67.12 (62) sum(n10, n10) = all_4_99
% 261.59/67.12 (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.59/67.12 | ~ (succ(v2) = v0))
% 261.59/67.12 (64) pred(all_4_97) = all_4_63
% 261.59/67.12 (65) succ(all_4_99) = all_4_67
% 261.59/67.12 (66) pred(n9) = n8
% 261.59/67.12 (67) succ(n3) = n4
% 261.59/67.12 (68) pred(all_4_96) = all_4_60
% 261.59/67.12 (69) succ(all_4_96) = all_4_62
% 261.59/67.12 (70) pred(n3) = n2
% 261.59/67.12 (71) succ(all_4_88) = all_4_30
% 261.59/67.12 (72) sum(all_4_20, all_4_22) = all_4_16
% 261.59/67.12 (73) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.12 (74) sum(all_4_55, all_4_51) = all_4_49
% 261.59/67.12 (75) sum(all_4_1, all_4_0) = all_4_80
% 261.59/67.12 (76) sum(all_4_36, all_4_35) = all_4_34
% 261.59/67.12 (77) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.12 (78) sum(all_4_47, all_4_46) = all_4_45
% 261.59/67.12 (79) pred(all_4_93) = all_4_47
% 261.59/67.12 (80) sum(all_4_71, all_4_67) = all_4_65
% 261.59/67.12 (81) sum(all_4_60, all_4_59) = all_4_58
% 261.59/67.12 (82) sum(all_4_41, all_4_40) = all_4_90
% 261.59/67.12 (83) sum(all_4_68, all_4_67) = all_4_66
% 261.59/67.12 (84) pred(all_4_82) = all_4_4
% 261.59/67.12 (85) sum(all_4_39, all_4_35) = all_4_33
% 261.59/67.12 (86) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.12 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.12 (87) pred(all_4_87) = all_4_23
% 261.59/67.12 (88) all_4_99 = n9
% 261.59/67.12 (89) sum(all_4_45, all_4_42) = all_4_91
% 261.59/67.12 (90) sum(all_4_39, all_4_38) = all_4_37
% 261.59/67.12 (91) sum(n6, n6) = n1
% 261.59/67.12 (92) sum(all_4_44, all_4_43) = all_4_42
% 261.59/67.12 (93) succ(n5) = n6
% 261.59/67.12 (94) sum(all_4_69, all_4_66) = all_4_97
% 261.59/67.12 (95) succ(n4) = n5
% 261.59/67.12 (96) sum(all_4_17, all_4_16) = all_4_84
% 261.59/67.12 (97) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.12 (98) sum(all_4_5, all_4_2) = all_4_81
% 261.59/67.12 (99) succ(all_4_98) = all_4_70
% 261.59/67.12 (100) pred(all_4_90) = all_4_36
% 261.59/67.12 (101) pred(n1) = n0
% 261.59/67.12 (102) sum(all_4_7, all_4_6) = all_4_5
% 261.59/67.12 (103) sum(all_4_68, all_4_70) = all_4_64
% 261.59/67.12 (104) succ(all_4_97) = all_4_59
% 261.59/67.12 (105) sum(all_4_36, all_4_38) = all_4_32
% 261.59/67.12 (106) pred(all_4_84) = all_4_12
% 261.59/67.12 (107) sum(all_4_61, all_4_58) = all_4_95
% 261.59/67.12 (108) sum(n7, n7) = n3
% 261.59/67.12 (109) succ(all_4_85) = all_4_11
% 261.59/67.12 (110) sum(all_4_49, all_4_48) = all_4_92
% 261.59/67.12 (111) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.12 | ~ (pred(v2) = v0))
% 261.59/67.12 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.59/67.12 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.59/67.12 (114) succ(all_4_93) = all_4_43
% 261.59/67.12 (115) pred(all_4_98) = all_4_68
% 261.59/67.12 (116) pred(all_4_94) = all_4_52
% 261.59/67.12
% 261.59/67.12 Begin of proof
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (18), (115) imply:
% 261.59/67.12 | (117) pred(n9) = all_4_68
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (38), (88) imply:
% 261.59/67.12 | (118) pred(n9) = all_4_71
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (18), (99) imply:
% 261.59/67.12 | (119) succ(n9) = all_4_70
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (65), (88) imply:
% 261.59/67.12 | (120) succ(n9) = all_4_67
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (62), (88) imply:
% 261.59/67.12 | (121) sum(n10, n10) = n9
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with n10, all_4_67, n9, simplifying with (22),
% 261.59/67.12 | (120) gives:
% 261.59/67.12 | (122) all_4_67 = n10
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with all_4_70, all_4_67, n9, simplifying with
% 261.59/67.12 | (119), (120) gives:
% 261.59/67.12 | (123) all_4_67 = all_4_70
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with n8, all_4_68, n9, simplifying with (66),
% 261.59/67.12 | (117) gives:
% 261.59/67.12 | (124) all_4_68 = n8
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with all_4_71, all_4_68, n9, simplifying with
% 261.59/67.12 | (117), (118) gives:
% 261.59/67.12 | (125) all_4_68 = all_4_71
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (122), (123) imply:
% 261.59/67.12 | (126) all_4_70 = n10
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (124), (125) imply:
% 261.59/67.12 | (127) all_4_71 = n8
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (83), (122), (124) imply:
% 261.59/67.12 | (128) sum(n8, n10) = all_4_66
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (103), (124), (126) imply:
% 261.59/67.12 | (129) sum(n8, n10) = all_4_64
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (80), (122), (127) imply:
% 261.59/67.12 | (130) sum(n8, n10) = all_4_65
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (27), (126), (127) imply:
% 261.59/67.12 | (131) sum(n8, n10) = all_4_69
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n7, all_4_65, n10, n8, simplifying with
% 261.59/67.12 | (45), (130) gives:
% 261.59/67.12 | (132) all_4_65 = n7
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_66, all_4_65, n10, n8, simplifying
% 261.59/67.12 | with (128), (130) gives:
% 261.59/67.12 | (133) all_4_65 = all_4_66
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_66, all_4_64, n10, n8, simplifying
% 261.59/67.12 | with (128), (129) gives:
% 261.59/67.12 | (134) all_4_64 = all_4_66
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_69, all_4_64, n10, n8, simplifying
% 261.59/67.12 | with (129), (131) gives:
% 261.59/67.12 | (135) all_4_64 = all_4_69
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (134), (135) imply:
% 261.59/67.12 | (136) all_4_66 = all_4_69
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (136) implies:
% 261.59/67.12 | (137) all_4_66 = all_4_69
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (132), (133) imply:
% 261.59/67.12 | (138) all_4_66 = n7
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (138) implies:
% 261.59/67.12 | (139) all_4_66 = n7
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (137), (139) imply:
% 261.59/67.12 | (140) all_4_69 = n7
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (135), (140) imply:
% 261.59/67.12 | (141) all_4_64 = n7
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (58), (132), (141) imply:
% 261.59/67.12 | (142) sum(n7, n7) = all_4_96
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (94), (139), (140) imply:
% 261.59/67.12 | (143) sum(n7, n7) = all_4_97
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n3, all_4_96, n7, n7, simplifying with
% 261.59/67.12 | (108), (142) gives:
% 261.59/67.12 | (144) all_4_96 = n3
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_97, all_4_96, n7, n7, simplifying
% 261.59/67.12 | with (142), (143) gives:
% 261.59/67.12 | (145) all_4_96 = all_4_97
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (144), (145) imply:
% 261.59/67.12 | (146) all_4_97 = n3
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (146) implies:
% 261.59/67.12 | (147) all_4_97 = n3
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (68), (144) imply:
% 261.59/67.12 | (148) pred(n3) = all_4_60
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (64), (147) imply:
% 261.59/67.12 | (149) pred(n3) = all_4_63
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (69), (144) imply:
% 261.59/67.12 | (150) succ(n3) = all_4_62
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (104), (147) imply:
% 261.59/67.12 | (151) succ(n3) = all_4_59
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with n4, all_4_59, n3, simplifying with (67),
% 261.59/67.12 | (151) gives:
% 261.59/67.12 | (152) all_4_59 = n4
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with all_4_62, all_4_59, n3, simplifying with
% 261.59/67.12 | (150), (151) gives:
% 261.59/67.12 | (153) all_4_59 = all_4_62
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with n2, all_4_60, n3, simplifying with (70),
% 261.59/67.12 | (148) gives:
% 261.59/67.12 | (154) all_4_60 = n2
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with all_4_63, all_4_60, n3, simplifying with
% 261.59/67.12 | (148), (149) gives:
% 261.59/67.12 | (155) all_4_60 = all_4_63
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (152), (153) imply:
% 261.59/67.12 | (156) all_4_62 = n4
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (154), (155) imply:
% 261.59/67.12 | (157) all_4_63 = n2
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (81), (152), (154) imply:
% 261.59/67.12 | (158) sum(n2, n4) = all_4_58
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (26), (154), (156) imply:
% 261.59/67.12 | (159) sum(n2, n4) = all_4_56
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (31), (152), (157) imply:
% 261.59/67.12 | (160) sum(n2, n4) = all_4_57
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (33), (156), (157) imply:
% 261.59/67.12 | (161) sum(n2, n4) = all_4_61
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n6, all_4_57, n4, n2, simplifying with
% 261.59/67.12 | (30), (160) gives:
% 261.59/67.12 | (162) all_4_57 = n6
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_58, all_4_57, n4, n2, simplifying
% 261.59/67.12 | with (158), (160) gives:
% 261.59/67.12 | (163) all_4_57 = all_4_58
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_57, all_4_56, n4, n2, simplifying
% 261.59/67.12 | with (159), (160) gives:
% 261.59/67.12 | (164) all_4_56 = all_4_57
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_61, all_4_56, n4, n2, simplifying
% 261.59/67.12 | with (159), (161) gives:
% 261.59/67.12 | (165) all_4_56 = all_4_61
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (164), (165) imply:
% 261.59/67.12 | (166) all_4_57 = all_4_61
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (166) implies:
% 261.59/67.12 | (167) all_4_57 = all_4_61
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (162), (163) imply:
% 261.59/67.12 | (168) all_4_58 = n6
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (163), (167) imply:
% 261.59/67.12 | (169) all_4_58 = all_4_61
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (168), (169) imply:
% 261.59/67.12 | (170) all_4_61 = n6
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (165), (170) imply:
% 261.59/67.12 | (171) all_4_56 = n6
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (46), (162), (171) imply:
% 261.59/67.12 | (172) sum(n6, n6) = all_4_94
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (107), (168), (170) imply:
% 261.59/67.12 | (173) sum(n6, n6) = all_4_95
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n1, all_4_94, n6, n6, simplifying with
% 261.59/67.12 | (91), (172) gives:
% 261.59/67.12 | (174) all_4_94 = n1
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_95, all_4_94, n6, n6, simplifying
% 261.59/67.12 | with (172), (173) gives:
% 261.59/67.12 | (175) all_4_94 = all_4_95
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (174), (175) imply:
% 261.59/67.12 | (176) all_4_95 = n1
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (116), (174) imply:
% 261.59/67.12 | (177) pred(n1) = all_4_52
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (16), (176) imply:
% 261.59/67.12 | (178) pred(n1) = all_4_55
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (34), (174) imply:
% 261.59/67.12 | (179) succ(n1) = all_4_54
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (4), (176) imply:
% 261.59/67.12 | (180) succ(n1) = all_4_51
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with n2, all_4_51, n1, simplifying with (7),
% 261.59/67.12 | (180) gives:
% 261.59/67.12 | (181) all_4_51 = n2
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with all_4_54, all_4_51, n1, simplifying with
% 261.59/67.12 | (179), (180) gives:
% 261.59/67.12 | (182) all_4_51 = all_4_54
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with n0, all_4_52, n1, simplifying with
% 261.59/67.12 | (101), (177) gives:
% 261.59/67.12 | (183) all_4_52 = n0
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with all_4_55, all_4_52, n1, simplifying with
% 261.59/67.12 | (177), (178) gives:
% 261.59/67.12 | (184) all_4_52 = all_4_55
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (181), (182) imply:
% 261.59/67.12 | (185) all_4_54 = n2
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (183), (184) imply:
% 261.59/67.12 | (186) all_4_55 = n0
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (186) implies:
% 261.59/67.12 | (187) all_4_55 = n0
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (112), (181), (183) imply:
% 261.59/67.12 | (188) sum(n0, n2) = all_4_50
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (24), (183), (185) imply:
% 261.59/67.12 | (189) sum(n0, n2) = all_4_48
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (74), (181), (187) imply:
% 261.59/67.12 | (190) sum(n0, n2) = all_4_49
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (28), (185), (187) imply:
% 261.59/67.12 | (191) sum(n0, n2) = all_4_53
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n2, all_4_49, n2, n0, simplifying with
% 261.59/67.12 | (47), (190) gives:
% 261.59/67.12 | (192) all_4_49 = n2
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_50, all_4_49, n2, n0, simplifying
% 261.59/67.12 | with (188), (190) gives:
% 261.59/67.12 | (193) all_4_49 = all_4_50
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_49, all_4_48, n2, n0, simplifying
% 261.59/67.12 | with (189), (190) gives:
% 261.59/67.12 | (194) all_4_48 = all_4_49
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_53, all_4_48, n2, n0, simplifying
% 261.59/67.12 | with (189), (191) gives:
% 261.59/67.12 | (195) all_4_48 = all_4_53
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (194), (195) imply:
% 261.59/67.12 | (196) all_4_49 = all_4_53
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (196) implies:
% 261.59/67.12 | (197) all_4_49 = all_4_53
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (192), (193) imply:
% 261.59/67.12 | (198) all_4_50 = n2
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (193), (197) imply:
% 261.59/67.12 | (199) all_4_50 = all_4_53
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (198), (199) imply:
% 261.59/67.12 | (200) all_4_53 = n2
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (195), (200) imply:
% 261.59/67.12 | (201) all_4_48 = n2
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (110), (192), (201) imply:
% 261.59/67.12 | (202) sum(n2, n2) = all_4_92
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (113), (198), (200) imply:
% 261.59/67.12 | (203) sum(n2, n2) = all_4_93
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n4, all_4_92, n2, n2, simplifying with
% 261.59/67.12 | (15), (202) gives:
% 261.59/67.12 | (204) all_4_92 = n4
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_93, all_4_92, n2, n2, simplifying
% 261.59/67.12 | with (202), (203) gives:
% 261.59/67.12 | (205) all_4_92 = all_4_93
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (204), (205) imply:
% 261.59/67.12 | (206) all_4_93 = n4
% 261.59/67.12 |
% 261.59/67.12 | SIMP: (206) implies:
% 261.59/67.12 | (207) all_4_93 = n4
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (56), (204) imply:
% 261.59/67.12 | (208) pred(n4) = all_4_44
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (79), (207) imply:
% 261.59/67.12 | (209) pred(n4) = all_4_47
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (11), (204) imply:
% 261.59/67.12 | (210) succ(n4) = all_4_46
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (114), (207) imply:
% 261.59/67.12 | (211) succ(n4) = all_4_43
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with n5, all_4_43, n4, simplifying with (95),
% 261.59/67.12 | (211) gives:
% 261.59/67.12 | (212) all_4_43 = n5
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (63) with all_4_46, all_4_43, n4, simplifying with
% 261.59/67.12 | (210), (211) gives:
% 261.59/67.12 | (213) all_4_43 = all_4_46
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with n3, all_4_44, n4, simplifying with (61),
% 261.59/67.12 | (208) gives:
% 261.59/67.12 | (214) all_4_44 = n3
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (111) with all_4_47, all_4_44, n4, simplifying with
% 261.59/67.12 | (208), (209) gives:
% 261.59/67.12 | (215) all_4_44 = all_4_47
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (212), (213) imply:
% 261.59/67.12 | (216) all_4_46 = n5
% 261.59/67.12 |
% 261.59/67.12 | COMBINE_EQS: (214), (215) imply:
% 261.59/67.12 | (217) all_4_47 = n3
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (92), (212), (214) imply:
% 261.59/67.12 | (218) sum(n3, n5) = all_4_42
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (17), (214), (216) imply:
% 261.59/67.12 | (219) sum(n3, n5) = all_4_40
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (50), (212), (217) imply:
% 261.59/67.12 | (220) sum(n3, n5) = all_4_41
% 261.59/67.12 |
% 261.59/67.12 | REDUCE: (78), (216), (217) imply:
% 261.59/67.12 | (221) sum(n3, n5) = all_4_45
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with n8, all_4_41, n5, n3, simplifying with
% 261.59/67.12 | (49), (220) gives:
% 261.59/67.12 | (222) all_4_41 = n8
% 261.59/67.12 |
% 261.59/67.12 | GROUND_INST: instantiating (86) with all_4_42, all_4_41, n5, n3, simplifying
% 261.59/67.12 | with (218), (220) gives:
% 261.59/67.12 | (223) all_4_41 = all_4_42
% 261.59/67.12 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_41, all_4_40, n5, n3, simplifying
% 261.59/67.13 | with (219), (220) gives:
% 261.59/67.13 | (224) all_4_40 = all_4_41
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_45, all_4_40, n5, n3, simplifying
% 261.59/67.13 | with (219), (221) gives:
% 261.59/67.13 | (225) all_4_40 = all_4_45
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (224), (225) imply:
% 261.59/67.13 | (226) all_4_41 = all_4_45
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (226) implies:
% 261.59/67.13 | (227) all_4_41 = all_4_45
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (222), (223) imply:
% 261.59/67.13 | (228) all_4_42 = n8
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (223), (227) imply:
% 261.59/67.13 | (229) all_4_42 = all_4_45
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (228), (229) imply:
% 261.59/67.13 | (230) all_4_45 = n8
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (230) implies:
% 261.59/67.13 | (231) all_4_45 = n8
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (225), (231) imply:
% 261.59/67.13 | (232) all_4_40 = n8
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (82), (222), (232) imply:
% 261.59/67.13 | (233) sum(n8, n8) = all_4_90
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (89), (228), (231) imply:
% 261.59/67.13 | (234) sum(n8, n8) = all_4_91
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n5, all_4_90, n8, n8, simplifying with
% 261.59/67.13 | (36), (233) gives:
% 261.59/67.13 | (235) all_4_90 = n5
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_91, all_4_90, n8, n8, simplifying
% 261.59/67.13 | with (233), (234) gives:
% 261.59/67.13 | (236) all_4_90 = all_4_91
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (235), (236) imply:
% 261.59/67.13 | (237) all_4_91 = n5
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (237) implies:
% 261.59/67.13 | (238) all_4_91 = n5
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (100), (235) imply:
% 261.59/67.13 | (239) pred(n5) = all_4_36
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (54), (238) imply:
% 261.59/67.13 | (240) pred(n5) = all_4_39
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (40), (235) imply:
% 261.59/67.13 | (241) succ(n5) = all_4_38
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (8), (238) imply:
% 261.59/67.13 | (242) succ(n5) = all_4_35
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with n6, all_4_35, n5, simplifying with (93),
% 261.59/67.13 | (242) gives:
% 261.59/67.13 | (243) all_4_35 = n6
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with all_4_38, all_4_35, n5, simplifying with
% 261.59/67.13 | (241), (242) gives:
% 261.59/67.13 | (244) all_4_35 = all_4_38
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with n4, all_4_36, n5, simplifying with (52),
% 261.59/67.13 | (239) gives:
% 261.59/67.13 | (245) all_4_36 = n4
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with all_4_39, all_4_36, n5, simplifying with
% 261.59/67.13 | (239), (240) gives:
% 261.59/67.13 | (246) all_4_36 = all_4_39
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (243), (244) imply:
% 261.59/67.13 | (247) all_4_38 = n6
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (245), (246) imply:
% 261.59/67.13 | (248) all_4_39 = n4
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (76), (243), (245) imply:
% 261.59/67.13 | (249) sum(n4, n6) = all_4_34
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (105), (245), (247) imply:
% 261.59/67.13 | (250) sum(n4, n6) = all_4_32
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (85), (243), (248) imply:
% 261.59/67.13 | (251) sum(n4, n6) = all_4_33
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (90), (247), (248) imply:
% 261.59/67.13 | (252) sum(n4, n6) = all_4_37
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n10, all_4_33, n6, n4, simplifying with
% 261.59/67.13 | (9), (251) gives:
% 261.59/67.13 | (253) all_4_33 = n10
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_34, all_4_33, n6, n4, simplifying
% 261.59/67.13 | with (249), (251) gives:
% 261.59/67.13 | (254) all_4_33 = all_4_34
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_33, all_4_32, n6, n4, simplifying
% 261.59/67.13 | with (250), (251) gives:
% 261.59/67.13 | (255) all_4_32 = all_4_33
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_37, all_4_32, n6, n4, simplifying
% 261.59/67.13 | with (250), (252) gives:
% 261.59/67.13 | (256) all_4_32 = all_4_37
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (255), (256) imply:
% 261.59/67.13 | (257) all_4_33 = all_4_37
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (257) implies:
% 261.59/67.13 | (258) all_4_33 = all_4_37
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (253), (254) imply:
% 261.59/67.13 | (259) all_4_34 = n10
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (254), (258) imply:
% 261.59/67.13 | (260) all_4_34 = all_4_37
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (259), (260) imply:
% 261.59/67.13 | (261) all_4_37 = n10
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (256), (261) imply:
% 261.59/67.13 | (262) all_4_32 = n10
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (48), (253), (262) imply:
% 261.59/67.13 | (263) sum(n10, n10) = all_4_88
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (35), (259), (261) imply:
% 261.59/67.13 | (264) sum(n10, n10) = all_4_89
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n9, all_4_88, n10, n10, simplifying with
% 261.59/67.13 | (121), (263) gives:
% 261.59/67.13 | (265) all_4_88 = n9
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_89, all_4_88, n10, n10, simplifying
% 261.59/67.13 | with (263), (264) gives:
% 261.59/67.13 | (266) all_4_88 = all_4_89
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (265), (266) imply:
% 261.59/67.13 | (267) all_4_89 = n9
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (41), (265) imply:
% 261.59/67.13 | (268) pred(n9) = all_4_28
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (55), (267) imply:
% 261.59/67.13 | (269) pred(n9) = all_4_31
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (71), (265) imply:
% 261.59/67.13 | (270) succ(n9) = all_4_30
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (14), (267) imply:
% 261.59/67.13 | (271) succ(n9) = all_4_27
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with n10, all_4_27, n9, simplifying with (22),
% 261.59/67.13 | (271) gives:
% 261.59/67.13 | (272) all_4_27 = n10
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with all_4_30, all_4_27, n9, simplifying with
% 261.59/67.13 | (270), (271) gives:
% 261.59/67.13 | (273) all_4_27 = all_4_30
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with n8, all_4_28, n9, simplifying with (66),
% 261.59/67.13 | (268) gives:
% 261.59/67.13 | (274) all_4_28 = n8
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with all_4_31, all_4_28, n9, simplifying with
% 261.59/67.13 | (268), (269) gives:
% 261.59/67.13 | (275) all_4_28 = all_4_31
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (272), (273) imply:
% 261.59/67.13 | (276) all_4_30 = n10
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (274), (275) imply:
% 261.59/67.13 | (277) all_4_31 = n8
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (2), (272), (274) imply:
% 261.59/67.13 | (278) sum(n8, n10) = all_4_26
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (20), (274), (276) imply:
% 261.59/67.13 | (279) sum(n8, n10) = all_4_24
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (32), (272), (277) imply:
% 261.59/67.13 | (280) sum(n8, n10) = all_4_25
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (44), (276), (277) imply:
% 261.59/67.13 | (281) sum(n8, n10) = all_4_29
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n7, all_4_25, n10, n8, simplifying with
% 261.59/67.13 | (45), (280) gives:
% 261.59/67.13 | (282) all_4_25 = n7
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_26, all_4_25, n10, n8, simplifying
% 261.59/67.13 | with (278), (280) gives:
% 261.59/67.13 | (283) all_4_25 = all_4_26
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_25, all_4_24, n10, n8, simplifying
% 261.59/67.13 | with (279), (280) gives:
% 261.59/67.13 | (284) all_4_24 = all_4_25
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_29, all_4_24, n10, n8, simplifying
% 261.59/67.13 | with (279), (281) gives:
% 261.59/67.13 | (285) all_4_24 = all_4_29
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (284), (285) imply:
% 261.59/67.13 | (286) all_4_25 = all_4_29
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (286) implies:
% 261.59/67.13 | (287) all_4_25 = all_4_29
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (282), (283) imply:
% 261.59/67.13 | (288) all_4_26 = n7
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (283), (287) imply:
% 261.59/67.13 | (289) all_4_26 = all_4_29
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (288), (289) imply:
% 261.59/67.13 | (290) all_4_29 = n7
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (285), (290) imply:
% 261.59/67.13 | (291) all_4_24 = n7
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (6), (282), (291) imply:
% 261.59/67.13 | (292) sum(n7, n7) = all_4_86
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (53), (288), (290) imply:
% 261.59/67.13 | (293) sum(n7, n7) = all_4_87
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n3, all_4_86, n7, n7, simplifying with
% 261.59/67.13 | (108), (292) gives:
% 261.59/67.13 | (294) all_4_86 = n3
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_87, all_4_86, n7, n7, simplifying
% 261.59/67.13 | with (292), (293) gives:
% 261.59/67.13 | (295) all_4_86 = all_4_87
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (294), (295) imply:
% 261.59/67.13 | (296) all_4_87 = n3
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (296) implies:
% 261.59/67.13 | (297) all_4_87 = n3
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (39), (294) imply:
% 261.59/67.13 | (298) pred(n3) = all_4_20
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (87), (297) imply:
% 261.59/67.13 | (299) pred(n3) = all_4_23
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (37), (294) imply:
% 261.59/67.13 | (300) succ(n3) = all_4_22
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (5), (297) imply:
% 261.59/67.13 | (301) succ(n3) = all_4_19
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with n4, all_4_19, n3, simplifying with (67),
% 261.59/67.13 | (301) gives:
% 261.59/67.13 | (302) all_4_19 = n4
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with all_4_22, all_4_19, n3, simplifying with
% 261.59/67.13 | (300), (301) gives:
% 261.59/67.13 | (303) all_4_19 = all_4_22
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with n2, all_4_20, n3, simplifying with (70),
% 261.59/67.13 | (298) gives:
% 261.59/67.13 | (304) all_4_20 = n2
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with all_4_23, all_4_20, n3, simplifying with
% 261.59/67.13 | (298), (299) gives:
% 261.59/67.13 | (305) all_4_20 = all_4_23
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (302), (303) imply:
% 261.59/67.13 | (306) all_4_22 = n4
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (304), (305) imply:
% 261.59/67.13 | (307) all_4_23 = n2
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (21), (302), (304) imply:
% 261.59/67.13 | (308) sum(n2, n4) = all_4_18
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (72), (304), (306) imply:
% 261.59/67.13 | (309) sum(n2, n4) = all_4_16
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (13), (302), (307) imply:
% 261.59/67.13 | (310) sum(n2, n4) = all_4_17
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (29), (306), (307) imply:
% 261.59/67.13 | (311) sum(n2, n4) = all_4_21
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n6, all_4_17, n4, n2, simplifying with
% 261.59/67.13 | (30), (310) gives:
% 261.59/67.13 | (312) all_4_17 = n6
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_18, all_4_17, n4, n2, simplifying
% 261.59/67.13 | with (308), (310) gives:
% 261.59/67.13 | (313) all_4_17 = all_4_18
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_17, all_4_16, n4, n2, simplifying
% 261.59/67.13 | with (309), (310) gives:
% 261.59/67.13 | (314) all_4_16 = all_4_17
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_21, all_4_16, n4, n2, simplifying
% 261.59/67.13 | with (309), (311) gives:
% 261.59/67.13 | (315) all_4_16 = all_4_21
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (314), (315) imply:
% 261.59/67.13 | (316) all_4_17 = all_4_21
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (316) implies:
% 261.59/67.13 | (317) all_4_17 = all_4_21
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (312), (313) imply:
% 261.59/67.13 | (318) all_4_18 = n6
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (313), (317) imply:
% 261.59/67.13 | (319) all_4_18 = all_4_21
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (318), (319) imply:
% 261.59/67.13 | (320) all_4_21 = n6
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (315), (320) imply:
% 261.59/67.13 | (321) all_4_16 = n6
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (96), (312), (321) imply:
% 261.59/67.13 | (322) sum(n6, n6) = all_4_84
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (10), (318), (320) imply:
% 261.59/67.13 | (323) sum(n6, n6) = all_4_85
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n1, all_4_84, n6, n6, simplifying with
% 261.59/67.13 | (91), (322) gives:
% 261.59/67.13 | (324) all_4_84 = n1
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_85, all_4_84, n6, n6, simplifying
% 261.59/67.13 | with (322), (323) gives:
% 261.59/67.13 | (325) all_4_84 = all_4_85
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (324), (325) imply:
% 261.59/67.13 | (326) all_4_85 = n1
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (326) implies:
% 261.59/67.13 | (327) all_4_85 = n1
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (106), (324) imply:
% 261.59/67.13 | (328) pred(n1) = all_4_12
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (42), (327) imply:
% 261.59/67.13 | (329) pred(n1) = all_4_15
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (3), (324) imply:
% 261.59/67.13 | (330) succ(n1) = all_4_14
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (109), (327) imply:
% 261.59/67.13 | (331) succ(n1) = all_4_11
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with n2, all_4_11, n1, simplifying with (7),
% 261.59/67.13 | (331) gives:
% 261.59/67.13 | (332) all_4_11 = n2
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with all_4_14, all_4_11, n1, simplifying with
% 261.59/67.13 | (330), (331) gives:
% 261.59/67.13 | (333) all_4_11 = all_4_14
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with n0, all_4_12, n1, simplifying with
% 261.59/67.13 | (101), (328) gives:
% 261.59/67.13 | (334) all_4_12 = n0
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with all_4_15, all_4_12, n1, simplifying with
% 261.59/67.13 | (328), (329) gives:
% 261.59/67.13 | (335) all_4_12 = all_4_15
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (332), (333) imply:
% 261.59/67.13 | (336) all_4_14 = n2
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (334), (335) imply:
% 261.59/67.13 | (337) all_4_15 = n0
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (73), (332), (334) imply:
% 261.59/67.13 | (338) sum(n0, n2) = all_4_10
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (51), (334), (336) imply:
% 261.59/67.13 | (339) sum(n0, n2) = all_4_8
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (77), (332), (337) imply:
% 261.59/67.13 | (340) sum(n0, n2) = all_4_9
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (43), (336), (337) imply:
% 261.59/67.13 | (341) sum(n0, n2) = all_4_13
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n2, all_4_9, n2, n0, simplifying with
% 261.59/67.13 | (47), (340) gives:
% 261.59/67.13 | (342) all_4_9 = n2
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_10, all_4_9, n2, n0, simplifying
% 261.59/67.13 | with (338), (340) gives:
% 261.59/67.13 | (343) all_4_9 = all_4_10
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_9, all_4_8, n2, n0, simplifying
% 261.59/67.13 | with (339), (340) gives:
% 261.59/67.13 | (344) all_4_8 = all_4_9
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_13, all_4_8, n2, n0, simplifying
% 261.59/67.13 | with (339), (341) gives:
% 261.59/67.13 | (345) all_4_8 = all_4_13
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (344), (345) imply:
% 261.59/67.13 | (346) all_4_9 = all_4_13
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (346) implies:
% 261.59/67.13 | (347) all_4_9 = all_4_13
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (342), (343) imply:
% 261.59/67.13 | (348) all_4_10 = n2
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (343), (347) imply:
% 261.59/67.13 | (349) all_4_10 = all_4_13
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (348), (349) imply:
% 261.59/67.13 | (350) all_4_13 = n2
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (345), (350) imply:
% 261.59/67.13 | (351) all_4_8 = n2
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (23), (342), (351) imply:
% 261.59/67.13 | (352) sum(n2, n2) = all_4_82
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (97), (348), (350) imply:
% 261.59/67.13 | (353) sum(n2, n2) = all_4_83
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n4, all_4_82, n2, n2, simplifying with
% 261.59/67.13 | (15), (352) gives:
% 261.59/67.13 | (354) all_4_82 = n4
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_83, all_4_82, n2, n2, simplifying
% 261.59/67.13 | with (352), (353) gives:
% 261.59/67.13 | (355) all_4_82 = all_4_83
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (354), (355) imply:
% 261.59/67.13 | (356) all_4_83 = n4
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (356) implies:
% 261.59/67.13 | (357) all_4_83 = n4
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (84), (354) imply:
% 261.59/67.13 | (358) pred(n4) = all_4_4
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (59), (357) imply:
% 261.59/67.13 | (359) pred(n4) = all_4_7
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (60), (354) imply:
% 261.59/67.13 | (360) succ(n4) = all_4_6
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (12), (357) imply:
% 261.59/67.13 | (361) succ(n4) = all_4_3
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with n5, all_4_3, n4, simplifying with (95),
% 261.59/67.13 | (361) gives:
% 261.59/67.13 | (362) all_4_3 = n5
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (63) with all_4_6, all_4_3, n4, simplifying with
% 261.59/67.13 | (360), (361) gives:
% 261.59/67.13 | (363) all_4_3 = all_4_6
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with n3, all_4_4, n4, simplifying with (61),
% 261.59/67.13 | (358) gives:
% 261.59/67.13 | (364) all_4_4 = n3
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (111) with all_4_7, all_4_4, n4, simplifying with
% 261.59/67.13 | (358), (359) gives:
% 261.59/67.13 | (365) all_4_4 = all_4_7
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (362), (363) imply:
% 261.59/67.13 | (366) all_4_6 = n5
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (364), (365) imply:
% 261.59/67.13 | (367) all_4_7 = n3
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (25), (362), (364) imply:
% 261.59/67.13 | (368) sum(n3, n5) = all_4_2
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (57), (364), (366) imply:
% 261.59/67.13 | (369) sum(n3, n5) = all_4_0
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (19), (362), (367) imply:
% 261.59/67.13 | (370) sum(n3, n5) = all_4_1
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (102), (366), (367) imply:
% 261.59/67.13 | (371) sum(n3, n5) = all_4_5
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n8, all_4_1, n5, n3, simplifying with
% 261.59/67.13 | (49), (370) gives:
% 261.59/67.13 | (372) all_4_1 = n8
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_2, all_4_1, n5, n3, simplifying
% 261.59/67.13 | with (368), (370) gives:
% 261.59/67.13 | (373) all_4_1 = all_4_2
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_1, all_4_0, n5, n3, simplifying
% 261.59/67.13 | with (369), (370) gives:
% 261.59/67.13 | (374) all_4_0 = all_4_1
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_5, all_4_0, n5, n3, simplifying
% 261.59/67.13 | with (369), (371) gives:
% 261.59/67.13 | (375) all_4_0 = all_4_5
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (374), (375) imply:
% 261.59/67.13 | (376) all_4_1 = all_4_5
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (376) implies:
% 261.59/67.13 | (377) all_4_1 = all_4_5
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (372), (373) imply:
% 261.59/67.13 | (378) all_4_2 = n8
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (373), (377) imply:
% 261.59/67.13 | (379) all_4_2 = all_4_5
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (378), (379) imply:
% 261.59/67.13 | (380) all_4_5 = n8
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (375), (380) imply:
% 261.59/67.13 | (381) all_4_0 = n8
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (75), (372), (381) imply:
% 261.59/67.13 | (382) sum(n8, n8) = all_4_80
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (98), (378), (380) imply:
% 261.59/67.13 | (383) sum(n8, n8) = all_4_81
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with n5, all_4_80, n8, n8, simplifying with
% 261.59/67.13 | (36), (382) gives:
% 261.59/67.13 | (384) all_4_80 = n5
% 261.59/67.13 |
% 261.59/67.13 | GROUND_INST: instantiating (86) with all_4_81, all_4_80, n8, n8, simplifying
% 261.59/67.13 | with (382), (383) gives:
% 261.59/67.13 | (385) all_4_80 = all_4_81
% 261.59/67.13 |
% 261.59/67.13 | COMBINE_EQS: (384), (385) imply:
% 261.59/67.13 | (386) all_4_81 = n5
% 261.59/67.13 |
% 261.59/67.13 | SIMP: (386) implies:
% 261.59/67.13 | (387) all_4_81 = n5
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (1), (384), (387) imply:
% 261.59/67.13 | (388) $false
% 261.59/67.13 |
% 261.59/67.13 | CLOSE: (388) is inconsistent.
% 261.59/67.13 |
% 261.59/67.13 End of proof
% 261.59/67.13
% 261.59/67.13 Sub-proof #201 shows that the following formulas are inconsistent:
% 261.59/67.13 ----------------------------------------------------------------
% 261.59/67.13 (1) ~ (all_4_80 = all_4_81)
% 261.59/67.13 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.59/67.13 (3) succ(all_4_84) = all_4_14
% 261.59/67.13 (4) succ(all_4_95) = all_4_51
% 261.59/67.13 (5) succ(all_4_87) = all_4_19
% 261.59/67.13 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.59/67.13 (7) succ(all_4_91) = all_4_35
% 261.59/67.13 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.59/67.13 (9) succ(all_4_92) = all_4_46
% 261.59/67.13 (10) succ(all_4_83) = all_4_3
% 261.59/67.13 (11) all_4_99 = n0
% 261.59/67.13 (12) sum(all_4_23, all_4_19) = all_4_17
% 261.59/67.13 (13) succ(all_4_89) = all_4_27
% 261.59/67.13 (14) pred(all_4_95) = all_4_55
% 261.59/67.13 (15) sum(all_4_44, all_4_46) = all_4_40
% 261.59/67.13 (16) sum(all_4_7, all_4_3) = all_4_1
% 261.59/67.13 (17) sum(all_4_28, all_4_30) = all_4_24
% 261.59/67.13 (18) sum(all_4_20, all_4_19) = all_4_18
% 261.59/67.13 (19) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.13 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.59/67.13 (21) sum(all_4_4, all_4_3) = all_4_2
% 261.59/67.13 (22) sum(all_4_60, all_4_62) = all_4_56
% 261.59/67.13 (23) sum(all_4_71, all_4_70) = all_4_69
% 261.59/67.13 (24) sum(all_4_55, all_4_54) = all_4_53
% 261.59/67.13 (25) sum(all_4_23, all_4_22) = all_4_21
% 261.59/67.13 (26) sum(all_4_63, all_4_59) = all_4_57
% 261.59/67.13 (27) sum(all_4_31, all_4_27) = all_4_25
% 261.59/67.13 (28) sum(all_4_63, all_4_62) = all_4_61
% 261.59/67.13 (29) succ(all_4_94) = all_4_54
% 261.59/67.13 (30) sum(all_4_37, all_4_34) = all_4_89
% 261.59/67.13 (31) sum(n10, n1) = n0
% 261.59/67.13 (32) succ(all_4_86) = all_4_22
% 261.59/67.13 (33) pred(all_4_99) = all_4_71
% 261.59/67.13 (34) pred(all_4_86) = all_4_20
% 261.59/67.13 (35) succ(all_4_90) = all_4_38
% 261.59/67.13 (36) pred(all_4_88) = all_4_28
% 261.59/67.13 (37) pred(all_4_85) = all_4_15
% 261.59/67.13 (38) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.13 (39) all_4_98 = n0
% 261.59/67.13 (40) succ(n0) = n1
% 261.59/67.13 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.59/67.13 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.59/67.13 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.59/67.13 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.59/67.13 (45) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.13 (46) sum(all_4_29, all_4_26) = all_4_87
% 261.59/67.13 (47) pred(all_4_91) = all_4_39
% 261.59/67.13 (48) pred(all_4_89) = all_4_31
% 261.59/67.13 (49) pred(all_4_92) = all_4_44
% 261.59/67.13 (50) sum(all_4_4, all_4_6) = all_4_0
% 261.59/67.13 (51) sum(all_4_65, all_4_64) = all_4_96
% 261.59/67.13 (52) pred(all_4_83) = all_4_7
% 261.59/67.13 (53) succ(all_4_82) = all_4_6
% 261.59/67.13 (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.59/67.13 | ~ (succ(v2) = v0))
% 261.59/67.13 (55) pred(all_4_97) = all_4_63
% 261.59/67.13 (56) succ(all_4_99) = all_4_67
% 261.59/67.13 (57) pred(all_4_96) = all_4_60
% 261.59/67.13 (58) succ(all_4_96) = all_4_62
% 261.59/67.13 (59) succ(all_4_88) = all_4_30
% 261.59/67.13 (60) sum(all_4_20, all_4_22) = all_4_16
% 261.59/67.13 (61) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.13 (62) sum(all_4_55, all_4_51) = all_4_49
% 261.59/67.13 (63) sum(all_4_1, all_4_0) = all_4_80
% 261.59/67.13 (64) sum(all_4_36, all_4_35) = all_4_34
% 261.59/67.13 (65) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.13 (66) sum(all_4_47, all_4_46) = all_4_45
% 261.59/67.13 (67) pred(all_4_93) = all_4_47
% 261.59/67.13 (68) sum(all_4_71, all_4_67) = all_4_65
% 261.59/67.13 (69) sum(all_4_60, all_4_59) = all_4_58
% 261.59/67.13 (70) sum(all_4_41, all_4_40) = all_4_90
% 261.59/67.13 (71) sum(all_4_68, all_4_67) = all_4_66
% 261.59/67.13 (72) pred(all_4_82) = all_4_4
% 261.59/67.13 (73) sum(all_4_39, all_4_35) = all_4_33
% 261.59/67.13 (74) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.13 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.13 (75) pred(all_4_87) = all_4_23
% 261.59/67.13 (76) sum(all_4_45, all_4_42) = all_4_91
% 261.59/67.13 (77) sum(all_4_39, all_4_38) = all_4_37
% 261.59/67.13 (78) sum(all_4_44, all_4_43) = all_4_42
% 261.59/67.13 (79) sum(all_4_69, all_4_66) = all_4_97
% 261.59/67.13 (80) sum(n0, n0) = all_4_99
% 261.59/67.13 (81) sum(all_4_17, all_4_16) = all_4_84
% 261.59/67.13 (82) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.13 (83) sum(all_4_5, all_4_2) = all_4_81
% 261.59/67.13 (84) succ(all_4_98) = all_4_70
% 261.59/67.13 (85) pred(all_4_90) = all_4_36
% 261.59/67.13 (86) sum(all_4_7, all_4_6) = all_4_5
% 261.59/67.13 (87) sum(all_4_68, all_4_70) = all_4_64
% 261.59/67.13 (88) succ(all_4_97) = all_4_59
% 261.59/67.13 (89) sum(all_4_36, all_4_38) = all_4_32
% 261.59/67.13 (90) pred(all_4_84) = all_4_12
% 261.59/67.13 (91) sum(all_4_61, all_4_58) = all_4_95
% 261.59/67.13 (92) succ(all_4_85) = all_4_11
% 261.59/67.13 (93) sum(all_4_49, all_4_48) = all_4_92
% 261.59/67.13 (94) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.13 | ~ (pred(v2) = v0))
% 261.59/67.13 (95) sum(all_4_52, all_4_51) = all_4_50
% 261.59/67.13 (96) sum(all_4_53, all_4_50) = all_4_93
% 261.59/67.13 (97) succ(all_4_93) = all_4_43
% 261.59/67.13 (98) pred(all_4_98) = all_4_68
% 261.59/67.13 (99) pred(n0) = n10
% 261.59/67.13 (100) pred(all_4_94) = all_4_52
% 261.59/67.13
% 261.59/67.13 Begin of proof
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (39), (98) imply:
% 261.59/67.13 | (101) pred(n0) = all_4_68
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (11), (33) imply:
% 261.59/67.13 | (102) pred(n0) = all_4_71
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (39), (84) imply:
% 261.59/67.13 | (103) succ(n0) = all_4_70
% 261.59/67.13 |
% 261.59/67.13 | REDUCE: (11), (56) imply:
% 261.59/67.13 | (104) succ(n0) = all_4_67
% 261.59/67.13 |
% 261.59/67.13 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 261.59/67.13 | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 261.59/67.13 | (24), (25), (26), (27), (28), (29), (30), (31), (32), (34), (35),
% 261.59/67.13 | (36), (37), (38), (40), (41), (42), (43), (44), (45), (46), (47),
% 261.59/67.13 | (48), (49), (50), (51), (52), (53), (54), (55), (57), (58), (59),
% 261.59/67.13 | (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), (70),
% 261.59/67.13 | (71), (72), (73), (74), (75), (76), (77), (78), (79), (80), (81),
% 261.59/67.13 | (82), (83), (85), (86), (87), (88), (89), (90), (91), (92), (93),
% 261.59/67.13 | (94), (95), (96), (97), (99), (100), (101), (102), (103), (104) are
% 261.59/67.13 | inconsistent by sub-proof #202.
% 261.59/67.13 |
% 261.59/67.13 End of proof
% 261.59/67.13
% 261.59/67.13 Sub-proof #202 shows that the following formulas are inconsistent:
% 261.59/67.13 ----------------------------------------------------------------
% 261.59/67.13 (1) ~ (all_4_80 = all_4_81)
% 261.59/67.13 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.59/67.13 (3) succ(all_4_84) = all_4_14
% 261.59/67.13 (4) succ(all_4_95) = all_4_51
% 261.59/67.13 (5) succ(all_4_87) = all_4_19
% 261.59/67.13 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.59/67.13 (7) succ(all_4_91) = all_4_35
% 261.59/67.13 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.59/67.13 (9) succ(all_4_92) = all_4_46
% 261.59/67.13 (10) succ(all_4_83) = all_4_3
% 261.59/67.13 (11) all_4_99 = n0
% 261.59/67.13 (12) sum(all_4_23, all_4_19) = all_4_17
% 261.59/67.13 (13) succ(all_4_89) = all_4_27
% 261.59/67.13 (14) pred(all_4_95) = all_4_55
% 261.59/67.13 (15) sum(all_4_44, all_4_46) = all_4_40
% 261.59/67.13 (16) sum(all_4_7, all_4_3) = all_4_1
% 261.59/67.13 (17) sum(all_4_28, all_4_30) = all_4_24
% 261.59/67.13 (18) sum(all_4_20, all_4_19) = all_4_18
% 261.59/67.13 (19) succ(n0) = all_4_70
% 261.59/67.13 (20) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.13 (21) sum(all_4_52, all_4_54) = all_4_48
% 261.59/67.13 (22) sum(all_4_4, all_4_3) = all_4_2
% 261.59/67.13 (23) sum(all_4_60, all_4_62) = all_4_56
% 261.59/67.13 (24) sum(all_4_71, all_4_70) = all_4_69
% 261.59/67.13 (25) sum(all_4_55, all_4_54) = all_4_53
% 261.59/67.13 (26) sum(all_4_23, all_4_22) = all_4_21
% 261.59/67.13 (27) sum(all_4_63, all_4_59) = all_4_57
% 261.59/67.13 (28) sum(all_4_31, all_4_27) = all_4_25
% 261.59/67.13 (29) sum(all_4_63, all_4_62) = all_4_61
% 261.59/67.13 (30) succ(all_4_94) = all_4_54
% 261.59/67.13 (31) sum(all_4_37, all_4_34) = all_4_89
% 261.59/67.13 (32) succ(n0) = all_4_67
% 261.59/67.13 (33) sum(n10, n1) = n0
% 261.59/67.14 (34) succ(all_4_86) = all_4_22
% 261.59/67.14 (35) pred(all_4_86) = all_4_20
% 261.59/67.14 (36) succ(all_4_90) = all_4_38
% 261.59/67.14 (37) pred(all_4_88) = all_4_28
% 261.59/67.14 (38) pred(all_4_85) = all_4_15
% 261.59/67.14 (39) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.14 (40) succ(n0) = n1
% 261.59/67.14 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.59/67.14 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.59/67.14 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.59/67.14 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.59/67.14 (45) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.14 (46) sum(all_4_29, all_4_26) = all_4_87
% 261.59/67.14 (47) pred(all_4_91) = all_4_39
% 261.59/67.14 (48) pred(all_4_89) = all_4_31
% 261.59/67.14 (49) pred(all_4_92) = all_4_44
% 261.59/67.14 (50) sum(all_4_4, all_4_6) = all_4_0
% 261.59/67.14 (51) sum(all_4_65, all_4_64) = all_4_96
% 261.59/67.14 (52) pred(all_4_83) = all_4_7
% 261.59/67.14 (53) succ(all_4_82) = all_4_6
% 261.59/67.14 (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.59/67.14 | ~ (succ(v2) = v0))
% 261.59/67.14 (55) pred(all_4_97) = all_4_63
% 261.59/67.14 (56) pred(all_4_96) = all_4_60
% 261.59/67.14 (57) succ(all_4_96) = all_4_62
% 261.59/67.14 (58) succ(all_4_88) = all_4_30
% 261.59/67.14 (59) sum(all_4_20, all_4_22) = all_4_16
% 261.59/67.14 (60) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.14 (61) pred(n0) = all_4_71
% 261.59/67.14 (62) sum(all_4_55, all_4_51) = all_4_49
% 261.59/67.14 (63) sum(all_4_1, all_4_0) = all_4_80
% 261.59/67.14 (64) sum(all_4_36, all_4_35) = all_4_34
% 261.59/67.14 (65) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.14 (66) sum(all_4_47, all_4_46) = all_4_45
% 261.59/67.14 (67) pred(all_4_93) = all_4_47
% 261.59/67.14 (68) sum(all_4_71, all_4_67) = all_4_65
% 261.59/67.14 (69) sum(all_4_60, all_4_59) = all_4_58
% 261.59/67.14 (70) sum(all_4_41, all_4_40) = all_4_90
% 261.59/67.14 (71) sum(all_4_68, all_4_67) = all_4_66
% 261.59/67.14 (72) pred(all_4_82) = all_4_4
% 261.59/67.14 (73) sum(all_4_39, all_4_35) = all_4_33
% 261.59/67.14 (74) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.14 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.14 (75) pred(all_4_87) = all_4_23
% 261.59/67.14 (76) sum(all_4_45, all_4_42) = all_4_91
% 261.59/67.14 (77) sum(all_4_39, all_4_38) = all_4_37
% 261.59/67.14 (78) sum(all_4_44, all_4_43) = all_4_42
% 261.59/67.14 (79) sum(all_4_69, all_4_66) = all_4_97
% 261.59/67.14 (80) sum(n0, n0) = all_4_99
% 261.59/67.14 (81) sum(all_4_17, all_4_16) = all_4_84
% 261.59/67.14 (82) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.14 (83) sum(all_4_5, all_4_2) = all_4_81
% 261.59/67.14 (84) pred(all_4_90) = all_4_36
% 261.59/67.14 (85) sum(all_4_7, all_4_6) = all_4_5
% 261.59/67.14 (86) sum(all_4_68, all_4_70) = all_4_64
% 261.59/67.14 (87) succ(all_4_97) = all_4_59
% 261.59/67.14 (88) sum(all_4_36, all_4_38) = all_4_32
% 261.59/67.14 (89) pred(all_4_84) = all_4_12
% 261.59/67.14 (90) sum(all_4_61, all_4_58) = all_4_95
% 261.59/67.14 (91) pred(n0) = all_4_68
% 261.59/67.14 (92) succ(all_4_85) = all_4_11
% 261.59/67.14 (93) sum(all_4_49, all_4_48) = all_4_92
% 261.59/67.14 (94) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.14 | ~ (pred(v2) = v0))
% 261.59/67.14 (95) sum(all_4_52, all_4_51) = all_4_50
% 261.59/67.14 (96) sum(all_4_53, all_4_50) = all_4_93
% 261.59/67.14 (97) succ(all_4_93) = all_4_43
% 261.59/67.14 (98) pred(n0) = n10
% 261.59/67.14 (99) pred(all_4_94) = all_4_52
% 261.59/67.14
% 261.59/67.14 Begin of proof
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (11), (80) imply:
% 261.59/67.14 | (100) sum(n0, n0) = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_67, n0, simplifying with (32),
% 261.59/67.14 | (40) gives:
% 261.59/67.14 | (101) all_4_67 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_70, all_4_67, n0, simplifying with
% 261.59/67.14 | (19), (32) gives:
% 261.59/67.14 | (102) all_4_67 = all_4_70
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_68, n0, simplifying with (91),
% 261.59/67.14 | (98) gives:
% 261.59/67.14 | (103) all_4_68 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_71, all_4_68, n0, simplifying with
% 261.59/67.14 | (61), (91) gives:
% 261.59/67.14 | (104) all_4_68 = all_4_71
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (101), (102) imply:
% 261.59/67.14 | (105) all_4_70 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (103), (104) imply:
% 261.59/67.14 | (106) all_4_71 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (71), (101), (103) imply:
% 261.59/67.14 | (107) sum(n10, n1) = all_4_66
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (86), (103), (105) imply:
% 261.59/67.14 | (108) sum(n10, n1) = all_4_64
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (68), (101), (106) imply:
% 261.59/67.14 | (109) sum(n10, n1) = all_4_65
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (24), (105), (106) imply:
% 261.59/67.14 | (110) sum(n10, n1) = all_4_69
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_65, n1, n10, simplifying with
% 261.59/67.14 | (33), (109) gives:
% 261.59/67.14 | (111) all_4_65 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_66, all_4_65, n1, n10, simplifying
% 261.59/67.14 | with (107), (109) gives:
% 261.59/67.14 | (112) all_4_65 = all_4_66
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_66, all_4_64, n1, n10, simplifying
% 261.59/67.14 | with (107), (108) gives:
% 261.59/67.14 | (113) all_4_64 = all_4_66
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_69, all_4_64, n1, n10, simplifying
% 261.59/67.14 | with (108), (110) gives:
% 261.59/67.14 | (114) all_4_64 = all_4_69
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (113), (114) imply:
% 261.59/67.14 | (115) all_4_66 = all_4_69
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (115) implies:
% 261.59/67.14 | (116) all_4_66 = all_4_69
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (111), (112) imply:
% 261.59/67.14 | (117) all_4_66 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (117) implies:
% 261.59/67.14 | (118) all_4_66 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (116), (118) imply:
% 261.59/67.14 | (119) all_4_69 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (114), (119) imply:
% 261.59/67.14 | (120) all_4_64 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (51), (111), (120) imply:
% 261.59/67.14 | (121) sum(n0, n0) = all_4_96
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (79), (118), (119) imply:
% 261.59/67.14 | (122) sum(n0, n0) = all_4_97
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_96, n0, n0, simplifying with
% 261.59/67.14 | (100), (121) gives:
% 261.59/67.14 | (123) all_4_96 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_97, all_4_96, n0, n0, simplifying
% 261.59/67.14 | with (121), (122) gives:
% 261.59/67.14 | (124) all_4_96 = all_4_97
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (123), (124) imply:
% 261.59/67.14 | (125) all_4_97 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (125) implies:
% 261.59/67.14 | (126) all_4_97 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (56), (123) imply:
% 261.59/67.14 | (127) pred(n0) = all_4_60
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (55), (126) imply:
% 261.59/67.14 | (128) pred(n0) = all_4_63
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (57), (123) imply:
% 261.59/67.14 | (129) succ(n0) = all_4_62
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (87), (126) imply:
% 261.59/67.14 | (130) succ(n0) = all_4_59
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_59, n0, simplifying with (40),
% 261.59/67.14 | (130) gives:
% 261.59/67.14 | (131) all_4_59 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_62, all_4_59, n0, simplifying with
% 261.59/67.14 | (129), (130) gives:
% 261.59/67.14 | (132) all_4_59 = all_4_62
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_60, n0, simplifying with (98),
% 261.59/67.14 | (127) gives:
% 261.59/67.14 | (133) all_4_60 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_63, all_4_60, n0, simplifying with
% 261.59/67.14 | (127), (128) gives:
% 261.59/67.14 | (134) all_4_60 = all_4_63
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (131), (132) imply:
% 261.59/67.14 | (135) all_4_62 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (133), (134) imply:
% 261.59/67.14 | (136) all_4_63 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (69), (131), (133) imply:
% 261.59/67.14 | (137) sum(n10, n1) = all_4_58
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (23), (133), (135) imply:
% 261.59/67.14 | (138) sum(n10, n1) = all_4_56
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (27), (131), (136) imply:
% 261.59/67.14 | (139) sum(n10, n1) = all_4_57
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (29), (135), (136) imply:
% 261.59/67.14 | (140) sum(n10, n1) = all_4_61
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_57, n1, n10, simplifying with
% 261.59/67.14 | (33), (139) gives:
% 261.59/67.14 | (141) all_4_57 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_58, all_4_57, n1, n10, simplifying
% 261.59/67.14 | with (137), (139) gives:
% 261.59/67.14 | (142) all_4_57 = all_4_58
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_57, all_4_56, n1, n10, simplifying
% 261.59/67.14 | with (138), (139) gives:
% 261.59/67.14 | (143) all_4_56 = all_4_57
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_61, all_4_56, n1, n10, simplifying
% 261.59/67.14 | with (138), (140) gives:
% 261.59/67.14 | (144) all_4_56 = all_4_61
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (143), (144) imply:
% 261.59/67.14 | (145) all_4_57 = all_4_61
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (145) implies:
% 261.59/67.14 | (146) all_4_57 = all_4_61
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (141), (142) imply:
% 261.59/67.14 | (147) all_4_58 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (142), (146) imply:
% 261.59/67.14 | (148) all_4_58 = all_4_61
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (147), (148) imply:
% 261.59/67.14 | (149) all_4_61 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (144), (149) imply:
% 261.59/67.14 | (150) all_4_56 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (42), (141), (150) imply:
% 261.59/67.14 | (151) sum(n0, n0) = all_4_94
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (90), (147), (149) imply:
% 261.59/67.14 | (152) sum(n0, n0) = all_4_95
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_94, n0, n0, simplifying with
% 261.59/67.14 | (100), (151) gives:
% 261.59/67.14 | (153) all_4_94 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_95, all_4_94, n0, n0, simplifying
% 261.59/67.14 | with (151), (152) gives:
% 261.59/67.14 | (154) all_4_94 = all_4_95
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (153), (154) imply:
% 261.59/67.14 | (155) all_4_95 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (99), (153) imply:
% 261.59/67.14 | (156) pred(n0) = all_4_52
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (14), (155) imply:
% 261.59/67.14 | (157) pred(n0) = all_4_55
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (30), (153) imply:
% 261.59/67.14 | (158) succ(n0) = all_4_54
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (4), (155) imply:
% 261.59/67.14 | (159) succ(n0) = all_4_51
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_51, n0, simplifying with (40),
% 261.59/67.14 | (159) gives:
% 261.59/67.14 | (160) all_4_51 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_54, all_4_51, n0, simplifying with
% 261.59/67.14 | (158), (159) gives:
% 261.59/67.14 | (161) all_4_51 = all_4_54
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_52, n0, simplifying with (98),
% 261.59/67.14 | (156) gives:
% 261.59/67.14 | (162) all_4_52 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_55, all_4_52, n0, simplifying with
% 261.59/67.14 | (156), (157) gives:
% 261.59/67.14 | (163) all_4_52 = all_4_55
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (160), (161) imply:
% 261.59/67.14 | (164) all_4_54 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (162), (163) imply:
% 261.59/67.14 | (165) all_4_55 = n10
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (165) implies:
% 261.59/67.14 | (166) all_4_55 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (95), (160), (162) imply:
% 261.59/67.14 | (167) sum(n10, n1) = all_4_50
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (21), (162), (164) imply:
% 261.59/67.14 | (168) sum(n10, n1) = all_4_48
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (62), (160), (166) imply:
% 261.59/67.14 | (169) sum(n10, n1) = all_4_49
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (25), (164), (166) imply:
% 261.59/67.14 | (170) sum(n10, n1) = all_4_53
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_49, n1, n10, simplifying with
% 261.59/67.14 | (33), (169) gives:
% 261.59/67.14 | (171) all_4_49 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_50, all_4_49, n1, n10, simplifying
% 261.59/67.14 | with (167), (169) gives:
% 261.59/67.14 | (172) all_4_49 = all_4_50
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_49, all_4_48, n1, n10, simplifying
% 261.59/67.14 | with (168), (169) gives:
% 261.59/67.14 | (173) all_4_48 = all_4_49
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_53, all_4_48, n1, n10, simplifying
% 261.59/67.14 | with (168), (170) gives:
% 261.59/67.14 | (174) all_4_48 = all_4_53
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (173), (174) imply:
% 261.59/67.14 | (175) all_4_49 = all_4_53
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (175) implies:
% 261.59/67.14 | (176) all_4_49 = all_4_53
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (171), (172) imply:
% 261.59/67.14 | (177) all_4_50 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (172), (176) imply:
% 261.59/67.14 | (178) all_4_50 = all_4_53
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (177), (178) imply:
% 261.59/67.14 | (179) all_4_53 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (174), (179) imply:
% 261.59/67.14 | (180) all_4_48 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (93), (171), (180) imply:
% 261.59/67.14 | (181) sum(n0, n0) = all_4_92
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (96), (177), (179) imply:
% 261.59/67.14 | (182) sum(n0, n0) = all_4_93
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_92, n0, n0, simplifying with
% 261.59/67.14 | (100), (181) gives:
% 261.59/67.14 | (183) all_4_92 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_93, all_4_92, n0, n0, simplifying
% 261.59/67.14 | with (181), (182) gives:
% 261.59/67.14 | (184) all_4_92 = all_4_93
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (183), (184) imply:
% 261.59/67.14 | (185) all_4_93 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (185) implies:
% 261.59/67.14 | (186) all_4_93 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (49), (183) imply:
% 261.59/67.14 | (187) pred(n0) = all_4_44
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (67), (186) imply:
% 261.59/67.14 | (188) pred(n0) = all_4_47
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (9), (183) imply:
% 261.59/67.14 | (189) succ(n0) = all_4_46
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (97), (186) imply:
% 261.59/67.14 | (190) succ(n0) = all_4_43
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_43, n0, simplifying with (40),
% 261.59/67.14 | (190) gives:
% 261.59/67.14 | (191) all_4_43 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_46, all_4_43, n0, simplifying with
% 261.59/67.14 | (189), (190) gives:
% 261.59/67.14 | (192) all_4_43 = all_4_46
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_44, n0, simplifying with (98),
% 261.59/67.14 | (187) gives:
% 261.59/67.14 | (193) all_4_44 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_47, all_4_44, n0, simplifying with
% 261.59/67.14 | (187), (188) gives:
% 261.59/67.14 | (194) all_4_44 = all_4_47
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (191), (192) imply:
% 261.59/67.14 | (195) all_4_46 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (193), (194) imply:
% 261.59/67.14 | (196) all_4_47 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (78), (191), (193) imply:
% 261.59/67.14 | (197) sum(n10, n1) = all_4_42
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (15), (193), (195) imply:
% 261.59/67.14 | (198) sum(n10, n1) = all_4_40
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (44), (191), (196) imply:
% 261.59/67.14 | (199) sum(n10, n1) = all_4_41
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (66), (195), (196) imply:
% 261.59/67.14 | (200) sum(n10, n1) = all_4_45
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_41, n1, n10, simplifying with
% 261.59/67.14 | (33), (199) gives:
% 261.59/67.14 | (201) all_4_41 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_42, all_4_41, n1, n10, simplifying
% 261.59/67.14 | with (197), (199) gives:
% 261.59/67.14 | (202) all_4_41 = all_4_42
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_41, all_4_40, n1, n10, simplifying
% 261.59/67.14 | with (198), (199) gives:
% 261.59/67.14 | (203) all_4_40 = all_4_41
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_45, all_4_40, n1, n10, simplifying
% 261.59/67.14 | with (198), (200) gives:
% 261.59/67.14 | (204) all_4_40 = all_4_45
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (203), (204) imply:
% 261.59/67.14 | (205) all_4_41 = all_4_45
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (205) implies:
% 261.59/67.14 | (206) all_4_41 = all_4_45
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (201), (202) imply:
% 261.59/67.14 | (207) all_4_42 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (202), (206) imply:
% 261.59/67.14 | (208) all_4_42 = all_4_45
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (207), (208) imply:
% 261.59/67.14 | (209) all_4_45 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (209) implies:
% 261.59/67.14 | (210) all_4_45 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (204), (210) imply:
% 261.59/67.14 | (211) all_4_40 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (70), (201), (211) imply:
% 261.59/67.14 | (212) sum(n0, n0) = all_4_90
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (76), (207), (210) imply:
% 261.59/67.14 | (213) sum(n0, n0) = all_4_91
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_90, n0, n0, simplifying with
% 261.59/67.14 | (100), (212) gives:
% 261.59/67.14 | (214) all_4_90 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_91, all_4_90, n0, n0, simplifying
% 261.59/67.14 | with (212), (213) gives:
% 261.59/67.14 | (215) all_4_90 = all_4_91
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (214), (215) imply:
% 261.59/67.14 | (216) all_4_91 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (216) implies:
% 261.59/67.14 | (217) all_4_91 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (84), (214) imply:
% 261.59/67.14 | (218) pred(n0) = all_4_36
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (47), (217) imply:
% 261.59/67.14 | (219) pred(n0) = all_4_39
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (36), (214) imply:
% 261.59/67.14 | (220) succ(n0) = all_4_38
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (7), (217) imply:
% 261.59/67.14 | (221) succ(n0) = all_4_35
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_35, n0, simplifying with (40),
% 261.59/67.14 | (221) gives:
% 261.59/67.14 | (222) all_4_35 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_38, all_4_35, n0, simplifying with
% 261.59/67.14 | (220), (221) gives:
% 261.59/67.14 | (223) all_4_35 = all_4_38
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_36, n0, simplifying with (98),
% 261.59/67.14 | (218) gives:
% 261.59/67.14 | (224) all_4_36 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_39, all_4_36, n0, simplifying with
% 261.59/67.14 | (218), (219) gives:
% 261.59/67.14 | (225) all_4_36 = all_4_39
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (222), (223) imply:
% 261.59/67.14 | (226) all_4_38 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (224), (225) imply:
% 261.59/67.14 | (227) all_4_39 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (64), (222), (224) imply:
% 261.59/67.14 | (228) sum(n10, n1) = all_4_34
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (88), (224), (226) imply:
% 261.59/67.14 | (229) sum(n10, n1) = all_4_32
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (73), (222), (227) imply:
% 261.59/67.14 | (230) sum(n10, n1) = all_4_33
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (77), (226), (227) imply:
% 261.59/67.14 | (231) sum(n10, n1) = all_4_37
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_33, n1, n10, simplifying with
% 261.59/67.14 | (33), (230) gives:
% 261.59/67.14 | (232) all_4_33 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_34, all_4_33, n1, n10, simplifying
% 261.59/67.14 | with (228), (230) gives:
% 261.59/67.14 | (233) all_4_33 = all_4_34
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_33, all_4_32, n1, n10, simplifying
% 261.59/67.14 | with (229), (230) gives:
% 261.59/67.14 | (234) all_4_32 = all_4_33
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_37, all_4_32, n1, n10, simplifying
% 261.59/67.14 | with (229), (231) gives:
% 261.59/67.14 | (235) all_4_32 = all_4_37
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (234), (235) imply:
% 261.59/67.14 | (236) all_4_33 = all_4_37
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (236) implies:
% 261.59/67.14 | (237) all_4_33 = all_4_37
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (232), (233) imply:
% 261.59/67.14 | (238) all_4_34 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (233), (237) imply:
% 261.59/67.14 | (239) all_4_34 = all_4_37
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (238), (239) imply:
% 261.59/67.14 | (240) all_4_37 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (235), (240) imply:
% 261.59/67.14 | (241) all_4_32 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (43), (232), (241) imply:
% 261.59/67.14 | (242) sum(n0, n0) = all_4_88
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (31), (238), (240) imply:
% 261.59/67.14 | (243) sum(n0, n0) = all_4_89
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_88, n0, n0, simplifying with
% 261.59/67.14 | (100), (242) gives:
% 261.59/67.14 | (244) all_4_88 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_89, all_4_88, n0, n0, simplifying
% 261.59/67.14 | with (242), (243) gives:
% 261.59/67.14 | (245) all_4_88 = all_4_89
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (244), (245) imply:
% 261.59/67.14 | (246) all_4_89 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (37), (244) imply:
% 261.59/67.14 | (247) pred(n0) = all_4_28
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (48), (246) imply:
% 261.59/67.14 | (248) pred(n0) = all_4_31
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (58), (244) imply:
% 261.59/67.14 | (249) succ(n0) = all_4_30
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (13), (246) imply:
% 261.59/67.14 | (250) succ(n0) = all_4_27
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_27, n0, simplifying with (40),
% 261.59/67.14 | (250) gives:
% 261.59/67.14 | (251) all_4_27 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_30, all_4_27, n0, simplifying with
% 261.59/67.14 | (249), (250) gives:
% 261.59/67.14 | (252) all_4_27 = all_4_30
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_28, n0, simplifying with (98),
% 261.59/67.14 | (247) gives:
% 261.59/67.14 | (253) all_4_28 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_31, all_4_28, n0, simplifying with
% 261.59/67.14 | (247), (248) gives:
% 261.59/67.14 | (254) all_4_28 = all_4_31
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (251), (252) imply:
% 261.59/67.14 | (255) all_4_30 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (253), (254) imply:
% 261.59/67.14 | (256) all_4_31 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (2), (251), (253) imply:
% 261.59/67.14 | (257) sum(n10, n1) = all_4_26
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (17), (253), (255) imply:
% 261.59/67.14 | (258) sum(n10, n1) = all_4_24
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (28), (251), (256) imply:
% 261.59/67.14 | (259) sum(n10, n1) = all_4_25
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (41), (255), (256) imply:
% 261.59/67.14 | (260) sum(n10, n1) = all_4_29
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_25, n1, n10, simplifying with
% 261.59/67.14 | (33), (259) gives:
% 261.59/67.14 | (261) all_4_25 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_26, all_4_25, n1, n10, simplifying
% 261.59/67.14 | with (257), (259) gives:
% 261.59/67.14 | (262) all_4_25 = all_4_26
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_25, all_4_24, n1, n10, simplifying
% 261.59/67.14 | with (258), (259) gives:
% 261.59/67.14 | (263) all_4_24 = all_4_25
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_29, all_4_24, n1, n10, simplifying
% 261.59/67.14 | with (258), (260) gives:
% 261.59/67.14 | (264) all_4_24 = all_4_29
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (263), (264) imply:
% 261.59/67.14 | (265) all_4_25 = all_4_29
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (265) implies:
% 261.59/67.14 | (266) all_4_25 = all_4_29
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (261), (262) imply:
% 261.59/67.14 | (267) all_4_26 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (262), (266) imply:
% 261.59/67.14 | (268) all_4_26 = all_4_29
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (267), (268) imply:
% 261.59/67.14 | (269) all_4_29 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (264), (269) imply:
% 261.59/67.14 | (270) all_4_24 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (6), (261), (270) imply:
% 261.59/67.14 | (271) sum(n0, n0) = all_4_86
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (46), (267), (269) imply:
% 261.59/67.14 | (272) sum(n0, n0) = all_4_87
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_86, n0, n0, simplifying with
% 261.59/67.14 | (100), (271) gives:
% 261.59/67.14 | (273) all_4_86 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_87, all_4_86, n0, n0, simplifying
% 261.59/67.14 | with (271), (272) gives:
% 261.59/67.14 | (274) all_4_86 = all_4_87
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (273), (274) imply:
% 261.59/67.14 | (275) all_4_87 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (275) implies:
% 261.59/67.14 | (276) all_4_87 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (35), (273) imply:
% 261.59/67.14 | (277) pred(n0) = all_4_20
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (75), (276) imply:
% 261.59/67.14 | (278) pred(n0) = all_4_23
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (34), (273) imply:
% 261.59/67.14 | (279) succ(n0) = all_4_22
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (5), (276) imply:
% 261.59/67.14 | (280) succ(n0) = all_4_19
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_19, n0, simplifying with (40),
% 261.59/67.14 | (280) gives:
% 261.59/67.14 | (281) all_4_19 = n1
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with all_4_22, all_4_19, n0, simplifying with
% 261.59/67.14 | (279), (280) gives:
% 261.59/67.14 | (282) all_4_19 = all_4_22
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with n10, all_4_20, n0, simplifying with (98),
% 261.59/67.14 | (277) gives:
% 261.59/67.14 | (283) all_4_20 = n10
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (94) with all_4_23, all_4_20, n0, simplifying with
% 261.59/67.14 | (277), (278) gives:
% 261.59/67.14 | (284) all_4_20 = all_4_23
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (281), (282) imply:
% 261.59/67.14 | (285) all_4_22 = n1
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (283), (284) imply:
% 261.59/67.14 | (286) all_4_23 = n10
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (18), (281), (283) imply:
% 261.59/67.14 | (287) sum(n10, n1) = all_4_18
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (59), (283), (285) imply:
% 261.59/67.14 | (288) sum(n10, n1) = all_4_16
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (12), (281), (286) imply:
% 261.59/67.14 | (289) sum(n10, n1) = all_4_17
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (26), (285), (286) imply:
% 261.59/67.14 | (290) sum(n10, n1) = all_4_21
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_17, n1, n10, simplifying with
% 261.59/67.14 | (33), (289) gives:
% 261.59/67.14 | (291) all_4_17 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_18, all_4_17, n1, n10, simplifying
% 261.59/67.14 | with (287), (289) gives:
% 261.59/67.14 | (292) all_4_17 = all_4_18
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_17, all_4_16, n1, n10, simplifying
% 261.59/67.14 | with (288), (289) gives:
% 261.59/67.14 | (293) all_4_16 = all_4_17
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_21, all_4_16, n1, n10, simplifying
% 261.59/67.14 | with (288), (290) gives:
% 261.59/67.14 | (294) all_4_16 = all_4_21
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (293), (294) imply:
% 261.59/67.14 | (295) all_4_17 = all_4_21
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (295) implies:
% 261.59/67.14 | (296) all_4_17 = all_4_21
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (291), (292) imply:
% 261.59/67.14 | (297) all_4_18 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (292), (296) imply:
% 261.59/67.14 | (298) all_4_18 = all_4_21
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (297), (298) imply:
% 261.59/67.14 | (299) all_4_21 = n0
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (294), (299) imply:
% 261.59/67.14 | (300) all_4_16 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (81), (291), (300) imply:
% 261.59/67.14 | (301) sum(n0, n0) = all_4_84
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (8), (297), (299) imply:
% 261.59/67.14 | (302) sum(n0, n0) = all_4_85
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with n0, all_4_84, n0, n0, simplifying with
% 261.59/67.14 | (100), (301) gives:
% 261.59/67.14 | (303) all_4_84 = n0
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (74) with all_4_85, all_4_84, n0, n0, simplifying
% 261.59/67.14 | with (301), (302) gives:
% 261.59/67.14 | (304) all_4_84 = all_4_85
% 261.59/67.14 |
% 261.59/67.14 | COMBINE_EQS: (303), (304) imply:
% 261.59/67.14 | (305) all_4_85 = n0
% 261.59/67.14 |
% 261.59/67.14 | SIMP: (305) implies:
% 261.59/67.14 | (306) all_4_85 = n0
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (89), (303) imply:
% 261.59/67.14 | (307) pred(n0) = all_4_12
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (38), (306) imply:
% 261.59/67.14 | (308) pred(n0) = all_4_15
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (3), (303) imply:
% 261.59/67.14 | (309) succ(n0) = all_4_14
% 261.59/67.14 |
% 261.59/67.14 | REDUCE: (92), (306) imply:
% 261.59/67.14 | (310) succ(n0) = all_4_11
% 261.59/67.14 |
% 261.59/67.14 | GROUND_INST: instantiating (54) with n1, all_4_11, n0, simplifying with (40),
% 261.59/67.14 | (310) gives:
% 261.59/67.14 | (311) all_4_11 = n1
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (54) with all_4_14, all_4_11, n0, simplifying with
% 261.59/67.15 | (309), (310) gives:
% 261.59/67.15 | (312) all_4_11 = all_4_14
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (94) with n10, all_4_12, n0, simplifying with (98),
% 261.59/67.15 | (307) gives:
% 261.59/67.15 | (313) all_4_12 = n10
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (94) with all_4_15, all_4_12, n0, simplifying with
% 261.59/67.15 | (307), (308) gives:
% 261.59/67.15 | (314) all_4_12 = all_4_15
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (311), (312) imply:
% 261.59/67.15 | (315) all_4_14 = n1
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (313), (314) imply:
% 261.59/67.15 | (316) all_4_15 = n10
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (60), (311), (313) imply:
% 261.59/67.15 | (317) sum(n10, n1) = all_4_10
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (45), (313), (315) imply:
% 261.59/67.15 | (318) sum(n10, n1) = all_4_8
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (65), (311), (316) imply:
% 261.59/67.15 | (319) sum(n10, n1) = all_4_9
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (39), (315), (316) imply:
% 261.59/67.15 | (320) sum(n10, n1) = all_4_13
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with n0, all_4_9, n1, n10, simplifying with
% 261.59/67.15 | (33), (319) gives:
% 261.59/67.15 | (321) all_4_9 = n0
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_10, all_4_9, n1, n10, simplifying
% 261.59/67.15 | with (317), (319) gives:
% 261.59/67.15 | (322) all_4_9 = all_4_10
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_9, all_4_8, n1, n10, simplifying
% 261.59/67.15 | with (318), (319) gives:
% 261.59/67.15 | (323) all_4_8 = all_4_9
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_13, all_4_8, n1, n10, simplifying
% 261.59/67.15 | with (318), (320) gives:
% 261.59/67.15 | (324) all_4_8 = all_4_13
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (323), (324) imply:
% 261.59/67.15 | (325) all_4_9 = all_4_13
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (325) implies:
% 261.59/67.15 | (326) all_4_9 = all_4_13
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (321), (322) imply:
% 261.59/67.15 | (327) all_4_10 = n0
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (322), (326) imply:
% 261.59/67.15 | (328) all_4_10 = all_4_13
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (327), (328) imply:
% 261.59/67.15 | (329) all_4_13 = n0
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (324), (329) imply:
% 261.59/67.15 | (330) all_4_8 = n0
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (20), (321), (330) imply:
% 261.59/67.15 | (331) sum(n0, n0) = all_4_82
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (82), (327), (329) imply:
% 261.59/67.15 | (332) sum(n0, n0) = all_4_83
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with n0, all_4_82, n0, n0, simplifying with
% 261.59/67.15 | (100), (331) gives:
% 261.59/67.15 | (333) all_4_82 = n0
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_83, all_4_82, n0, n0, simplifying
% 261.59/67.15 | with (331), (332) gives:
% 261.59/67.15 | (334) all_4_82 = all_4_83
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (333), (334) imply:
% 261.59/67.15 | (335) all_4_83 = n0
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (335) implies:
% 261.59/67.15 | (336) all_4_83 = n0
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (72), (333) imply:
% 261.59/67.15 | (337) pred(n0) = all_4_4
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (52), (336) imply:
% 261.59/67.15 | (338) pred(n0) = all_4_7
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (53), (333) imply:
% 261.59/67.15 | (339) succ(n0) = all_4_6
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (10), (336) imply:
% 261.59/67.15 | (340) succ(n0) = all_4_3
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (54) with n1, all_4_3, n0, simplifying with (40),
% 261.59/67.15 | (340) gives:
% 261.59/67.15 | (341) all_4_3 = n1
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (54) with all_4_6, all_4_3, n0, simplifying with
% 261.59/67.15 | (339), (340) gives:
% 261.59/67.15 | (342) all_4_3 = all_4_6
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (94) with n10, all_4_4, n0, simplifying with (98),
% 261.59/67.15 | (337) gives:
% 261.59/67.15 | (343) all_4_4 = n10
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (94) with all_4_7, all_4_4, n0, simplifying with
% 261.59/67.15 | (337), (338) gives:
% 261.59/67.15 | (344) all_4_4 = all_4_7
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (341), (342) imply:
% 261.59/67.15 | (345) all_4_6 = n1
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (343), (344) imply:
% 261.59/67.15 | (346) all_4_7 = n10
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (22), (341), (343) imply:
% 261.59/67.15 | (347) sum(n10, n1) = all_4_2
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (50), (343), (345) imply:
% 261.59/67.15 | (348) sum(n10, n1) = all_4_0
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (16), (341), (346) imply:
% 261.59/67.15 | (349) sum(n10, n1) = all_4_1
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (85), (345), (346) imply:
% 261.59/67.15 | (350) sum(n10, n1) = all_4_5
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with n0, all_4_1, n1, n10, simplifying with
% 261.59/67.15 | (33), (349) gives:
% 261.59/67.15 | (351) all_4_1 = n0
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_2, all_4_1, n1, n10, simplifying
% 261.59/67.15 | with (347), (349) gives:
% 261.59/67.15 | (352) all_4_1 = all_4_2
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_1, all_4_0, n1, n10, simplifying
% 261.59/67.15 | with (348), (349) gives:
% 261.59/67.15 | (353) all_4_0 = all_4_1
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_5, all_4_0, n1, n10, simplifying
% 261.59/67.15 | with (348), (350) gives:
% 261.59/67.15 | (354) all_4_0 = all_4_5
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (353), (354) imply:
% 261.59/67.15 | (355) all_4_1 = all_4_5
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (355) implies:
% 261.59/67.15 | (356) all_4_1 = all_4_5
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (351), (352) imply:
% 261.59/67.15 | (357) all_4_2 = n0
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (352), (356) imply:
% 261.59/67.15 | (358) all_4_2 = all_4_5
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (357), (358) imply:
% 261.59/67.15 | (359) all_4_5 = n0
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (354), (359) imply:
% 261.59/67.15 | (360) all_4_0 = n0
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (63), (351), (360) imply:
% 261.59/67.15 | (361) sum(n0, n0) = all_4_80
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (83), (357), (359) imply:
% 261.59/67.15 | (362) sum(n0, n0) = all_4_81
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with n0, all_4_80, n0, n0, simplifying with
% 261.59/67.15 | (100), (361) gives:
% 261.59/67.15 | (363) all_4_80 = n0
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (74) with all_4_81, all_4_80, n0, n0, simplifying
% 261.59/67.15 | with (361), (362) gives:
% 261.59/67.15 | (364) all_4_80 = all_4_81
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (363), (364) imply:
% 261.59/67.15 | (365) all_4_81 = n0
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (365) implies:
% 261.59/67.15 | (366) all_4_81 = n0
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (1), (363), (366) imply:
% 261.59/67.15 | (367) $false
% 261.59/67.15 |
% 261.59/67.15 | CLOSE: (367) is inconsistent.
% 261.59/67.15 |
% 261.59/67.15 End of proof
% 261.59/67.15
% 261.59/67.15 Sub-proof #203 shows that the following formulas are inconsistent:
% 261.59/67.15 ----------------------------------------------------------------
% 261.59/67.15 (1) ~ (all_4_80 = all_4_81)
% 261.59/67.15 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.59/67.15 (3) succ(all_4_84) = all_4_14
% 261.59/67.15 (4) succ(all_4_95) = all_4_51
% 261.59/67.15 (5) succ(all_4_87) = all_4_19
% 261.59/67.15 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.59/67.15 (7) succ(all_4_91) = all_4_35
% 261.59/67.15 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.59/67.15 (9) succ(all_4_92) = all_4_46
% 261.59/67.15 (10) succ(all_4_83) = all_4_3
% 261.59/67.15 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.59/67.15 (12) succ(all_4_89) = all_4_27
% 261.59/67.15 (13) pred(all_4_95) = all_4_55
% 261.59/67.15 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.59/67.15 (15) sum(all_4_7, all_4_3) = all_4_1
% 261.59/67.15 (16) sum(all_4_28, all_4_30) = all_4_24
% 261.59/67.15 (17) sum(all_4_20, all_4_19) = all_4_18
% 261.59/67.15 (18) sum(n9, n0) = n9
% 261.59/67.15 (19) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.15 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.59/67.15 (21) sum(n3, n3) = n6
% 261.59/67.15 (22) sum(all_4_4, all_4_3) = all_4_2
% 261.59/67.15 (23) sum(all_4_60, all_4_62) = all_4_56
% 261.59/67.15 (24) sum(all_4_71, all_4_70) = all_4_69
% 261.59/67.15 (25) sum(all_4_55, all_4_54) = all_4_53
% 261.59/67.15 (26) sum(all_4_23, all_4_22) = all_4_21
% 261.59/67.15 (27) sum(all_4_63, all_4_59) = all_4_57
% 261.59/67.15 (28) sum(all_4_31, all_4_27) = all_4_25
% 261.59/67.15 (29) sum(all_4_63, all_4_62) = all_4_61
% 261.59/67.15 (30) succ(all_4_94) = all_4_54
% 261.59/67.15 (31) sum(all_4_37, all_4_34) = all_4_89
% 261.59/67.15 (32) succ(all_4_86) = all_4_22
% 261.59/67.15 (33) pred(n8) = n7
% 261.59/67.15 (34) pred(all_4_99) = all_4_71
% 261.59/67.15 (35) pred(all_4_86) = all_4_20
% 261.59/67.15 (36) succ(all_4_90) = all_4_38
% 261.59/67.15 (37) sum(n6, n8) = n3
% 261.59/67.15 (38) pred(all_4_88) = all_4_28
% 261.59/67.15 (39) pred(all_4_85) = all_4_15
% 261.59/67.15 (40) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.15 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.59/67.15 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.59/67.15 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.59/67.15 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.59/67.15 (45) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.15 (46) sum(all_4_29, all_4_26) = all_4_87
% 261.59/67.15 (47) pred(all_4_91) = all_4_39
% 261.59/67.15 (48) pred(all_4_89) = all_4_31
% 261.59/67.15 (49) pred(all_4_92) = all_4_44
% 261.59/67.15 (50) sum(all_4_4, all_4_6) = all_4_0
% 261.59/67.15 (51) sum(n5, n7) = n1
% 261.59/67.15 (52) sum(all_4_65, all_4_64) = all_4_96
% 261.59/67.15 (53) succ(n10) = n0
% 261.59/67.15 (54) pred(all_4_83) = all_4_7
% 261.59/67.15 (55) succ(all_4_82) = all_4_6
% 261.59/67.15 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.59/67.15 | ~ (succ(v2) = v0))
% 261.59/67.15 (57) pred(all_4_97) = all_4_63
% 261.59/67.15 (58) succ(all_4_99) = all_4_67
% 261.59/67.15 (59) pred(n6) = n5
% 261.59/67.15 (60) pred(all_4_96) = all_4_60
% 261.59/67.15 (61) succ(all_4_96) = all_4_62
% 261.59/67.15 (62) succ(all_4_88) = all_4_30
% 261.59/67.15 (63) all_4_98 = n2
% 261.59/67.15 (64) sum(all_4_20, all_4_22) = all_4_16
% 261.59/67.15 (65) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.15 (66) sum(all_4_55, all_4_51) = all_4_49
% 261.59/67.15 (67) pred(n7) = n6
% 261.59/67.15 (68) sum(all_4_1, all_4_0) = all_4_80
% 261.59/67.15 (69) sum(all_4_36, all_4_35) = all_4_34
% 261.59/67.15 (70) succ(n7) = n8
% 261.59/67.15 (71) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.15 (72) sum(all_4_47, all_4_46) = all_4_45
% 261.59/67.15 (73) pred(all_4_93) = all_4_47
% 261.59/67.15 (74) sum(all_4_71, all_4_67) = all_4_65
% 261.59/67.15 (75) sum(all_4_60, all_4_59) = all_4_58
% 261.59/67.15 (76) sum(n5, n5) = n10
% 261.59/67.15 (77) sum(all_4_41, all_4_40) = all_4_90
% 261.59/67.15 (78) succ(n2) = n3
% 261.59/67.15 (79) sum(all_4_68, all_4_67) = all_4_66
% 261.59/67.15 (80) succ(n6) = n7
% 261.59/67.15 (81) succ(n8) = n9
% 261.59/67.15 (82) pred(all_4_82) = all_4_4
% 261.59/67.15 (83) sum(all_4_39, all_4_35) = all_4_33
% 261.59/67.15 (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.15 (85) pred(all_4_87) = all_4_23
% 261.59/67.15 (86) sum(all_4_45, all_4_42) = all_4_91
% 261.59/67.15 (87) sum(n9, n9) = n7
% 261.59/67.15 (88) sum(all_4_39, all_4_38) = all_4_37
% 261.59/67.15 (89) sum(all_4_44, all_4_43) = all_4_42
% 261.59/67.15 (90) sum(n1, n1) = all_4_99
% 261.59/67.15 (91) pred(n10) = n9
% 261.59/67.15 (92) sum(all_4_69, all_4_66) = all_4_97
% 261.59/67.15 (93) sum(n7, n9) = n5
% 261.59/67.15 (94) sum(all_4_17, all_4_16) = all_4_84
% 261.59/67.15 (95) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.15 (96) sum(all_4_5, all_4_2) = all_4_81
% 261.59/67.15 (97) all_4_99 = n2
% 261.59/67.15 (98) pred(n2) = n1
% 261.59/67.15 (99) succ(all_4_98) = all_4_70
% 261.59/67.15 (100) pred(all_4_90) = all_4_36
% 261.59/67.15 (101) sum(n4, n4) = n8
% 261.59/67.15 (102) sum(all_4_7, all_4_6) = all_4_5
% 261.59/67.15 (103) sum(all_4_68, all_4_70) = all_4_64
% 261.59/67.15 (104) succ(all_4_97) = all_4_59
% 261.59/67.15 (105) sum(all_4_36, all_4_38) = all_4_32
% 261.59/67.15 (106) pred(all_4_84) = all_4_12
% 261.59/67.15 (107) sum(all_4_61, all_4_58) = all_4_95
% 261.59/67.15 (108) succ(all_4_85) = all_4_11
% 261.59/67.15 (109) sum(all_4_49, all_4_48) = all_4_92
% 261.59/67.15 (110) sum(n1, n3) = n4
% 261.59/67.15 (111) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.15 | ~ (pred(v2) = v0))
% 261.59/67.15 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.59/67.15 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.59/67.15 (114) succ(all_4_93) = all_4_43
% 261.59/67.15 (115) pred(all_4_98) = all_4_68
% 261.59/67.15 (116) pred(all_4_94) = all_4_52
% 261.59/67.15
% 261.59/67.15 Begin of proof
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (63), (115) imply:
% 261.59/67.15 | (117) pred(n2) = all_4_68
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (34), (97) imply:
% 261.59/67.15 | (118) pred(n2) = all_4_71
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (63), (99) imply:
% 261.59/67.15 | (119) succ(n2) = all_4_70
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (58), (97) imply:
% 261.59/67.15 | (120) succ(n2) = all_4_67
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (90), (97) imply:
% 261.59/67.15 | (121) sum(n1, n1) = n2
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with n3, all_4_67, n2, simplifying with (78),
% 261.59/67.15 | (120) gives:
% 261.59/67.15 | (122) all_4_67 = n3
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with all_4_70, all_4_67, n2, simplifying with
% 261.59/67.15 | (119), (120) gives:
% 261.59/67.15 | (123) all_4_67 = all_4_70
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with n1, all_4_68, n2, simplifying with (98),
% 261.59/67.15 | (117) gives:
% 261.59/67.15 | (124) all_4_68 = n1
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with all_4_71, all_4_68, n2, simplifying with
% 261.59/67.15 | (117), (118) gives:
% 261.59/67.15 | (125) all_4_68 = all_4_71
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (122), (123) imply:
% 261.59/67.15 | (126) all_4_70 = n3
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (124), (125) imply:
% 261.59/67.15 | (127) all_4_71 = n1
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (79), (122), (124) imply:
% 261.59/67.15 | (128) sum(n1, n3) = all_4_66
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (103), (124), (126) imply:
% 261.59/67.15 | (129) sum(n1, n3) = all_4_64
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (74), (122), (127) imply:
% 261.59/67.15 | (130) sum(n1, n3) = all_4_65
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (24), (126), (127) imply:
% 261.59/67.15 | (131) sum(n1, n3) = all_4_69
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n4, all_4_65, n3, n1, simplifying with
% 261.59/67.15 | (110), (130) gives:
% 261.59/67.15 | (132) all_4_65 = n4
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_66, all_4_65, n3, n1, simplifying
% 261.59/67.15 | with (128), (130) gives:
% 261.59/67.15 | (133) all_4_65 = all_4_66
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_66, all_4_64, n3, n1, simplifying
% 261.59/67.15 | with (128), (129) gives:
% 261.59/67.15 | (134) all_4_64 = all_4_66
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_69, all_4_64, n3, n1, simplifying
% 261.59/67.15 | with (129), (131) gives:
% 261.59/67.15 | (135) all_4_64 = all_4_69
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (134), (135) imply:
% 261.59/67.15 | (136) all_4_66 = all_4_69
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (136) implies:
% 261.59/67.15 | (137) all_4_66 = all_4_69
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (132), (133) imply:
% 261.59/67.15 | (138) all_4_66 = n4
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (138) implies:
% 261.59/67.15 | (139) all_4_66 = n4
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (137), (139) imply:
% 261.59/67.15 | (140) all_4_69 = n4
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (135), (140) imply:
% 261.59/67.15 | (141) all_4_64 = n4
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (52), (132), (141) imply:
% 261.59/67.15 | (142) sum(n4, n4) = all_4_96
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (92), (139), (140) imply:
% 261.59/67.15 | (143) sum(n4, n4) = all_4_97
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n8, all_4_96, n4, n4, simplifying with
% 261.59/67.15 | (101), (142) gives:
% 261.59/67.15 | (144) all_4_96 = n8
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_97, all_4_96, n4, n4, simplifying
% 261.59/67.15 | with (142), (143) gives:
% 261.59/67.15 | (145) all_4_96 = all_4_97
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (144), (145) imply:
% 261.59/67.15 | (146) all_4_97 = n8
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (146) implies:
% 261.59/67.15 | (147) all_4_97 = n8
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (60), (144) imply:
% 261.59/67.15 | (148) pred(n8) = all_4_60
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (57), (147) imply:
% 261.59/67.15 | (149) pred(n8) = all_4_63
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (61), (144) imply:
% 261.59/67.15 | (150) succ(n8) = all_4_62
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (104), (147) imply:
% 261.59/67.15 | (151) succ(n8) = all_4_59
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with n9, all_4_59, n8, simplifying with (81),
% 261.59/67.15 | (151) gives:
% 261.59/67.15 | (152) all_4_59 = n9
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with all_4_62, all_4_59, n8, simplifying with
% 261.59/67.15 | (150), (151) gives:
% 261.59/67.15 | (153) all_4_59 = all_4_62
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with n7, all_4_60, n8, simplifying with (33),
% 261.59/67.15 | (148) gives:
% 261.59/67.15 | (154) all_4_60 = n7
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with all_4_63, all_4_60, n8, simplifying with
% 261.59/67.15 | (148), (149) gives:
% 261.59/67.15 | (155) all_4_60 = all_4_63
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (152), (153) imply:
% 261.59/67.15 | (156) all_4_62 = n9
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (154), (155) imply:
% 261.59/67.15 | (157) all_4_63 = n7
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (75), (152), (154) imply:
% 261.59/67.15 | (158) sum(n7, n9) = all_4_58
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (23), (154), (156) imply:
% 261.59/67.15 | (159) sum(n7, n9) = all_4_56
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (27), (152), (157) imply:
% 261.59/67.15 | (160) sum(n7, n9) = all_4_57
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (29), (156), (157) imply:
% 261.59/67.15 | (161) sum(n7, n9) = all_4_61
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n5, all_4_57, n9, n7, simplifying with
% 261.59/67.15 | (93), (160) gives:
% 261.59/67.15 | (162) all_4_57 = n5
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_58, all_4_57, n9, n7, simplifying
% 261.59/67.15 | with (158), (160) gives:
% 261.59/67.15 | (163) all_4_57 = all_4_58
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_57, all_4_56, n9, n7, simplifying
% 261.59/67.15 | with (159), (160) gives:
% 261.59/67.15 | (164) all_4_56 = all_4_57
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_61, all_4_56, n9, n7, simplifying
% 261.59/67.15 | with (159), (161) gives:
% 261.59/67.15 | (165) all_4_56 = all_4_61
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (164), (165) imply:
% 261.59/67.15 | (166) all_4_57 = all_4_61
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (166) implies:
% 261.59/67.15 | (167) all_4_57 = all_4_61
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (162), (163) imply:
% 261.59/67.15 | (168) all_4_58 = n5
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (163), (167) imply:
% 261.59/67.15 | (169) all_4_58 = all_4_61
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (168), (169) imply:
% 261.59/67.15 | (170) all_4_61 = n5
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (165), (170) imply:
% 261.59/67.15 | (171) all_4_56 = n5
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (42), (162), (171) imply:
% 261.59/67.15 | (172) sum(n5, n5) = all_4_94
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (107), (168), (170) imply:
% 261.59/67.15 | (173) sum(n5, n5) = all_4_95
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n10, all_4_94, n5, n5, simplifying with
% 261.59/67.15 | (76), (172) gives:
% 261.59/67.15 | (174) all_4_94 = n10
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_95, all_4_94, n5, n5, simplifying
% 261.59/67.15 | with (172), (173) gives:
% 261.59/67.15 | (175) all_4_94 = all_4_95
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (174), (175) imply:
% 261.59/67.15 | (176) all_4_95 = n10
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (116), (174) imply:
% 261.59/67.15 | (177) pred(n10) = all_4_52
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (13), (176) imply:
% 261.59/67.15 | (178) pred(n10) = all_4_55
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (30), (174) imply:
% 261.59/67.15 | (179) succ(n10) = all_4_54
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (4), (176) imply:
% 261.59/67.15 | (180) succ(n10) = all_4_51
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with n0, all_4_51, n10, simplifying with (53),
% 261.59/67.15 | (180) gives:
% 261.59/67.15 | (181) all_4_51 = n0
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with all_4_54, all_4_51, n10, simplifying with
% 261.59/67.15 | (179), (180) gives:
% 261.59/67.15 | (182) all_4_51 = all_4_54
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with n9, all_4_52, n10, simplifying with
% 261.59/67.15 | (91), (177) gives:
% 261.59/67.15 | (183) all_4_52 = n9
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with all_4_55, all_4_52, n10, simplifying
% 261.59/67.15 | with (177), (178) gives:
% 261.59/67.15 | (184) all_4_52 = all_4_55
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (181), (182) imply:
% 261.59/67.15 | (185) all_4_54 = n0
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (183), (184) imply:
% 261.59/67.15 | (186) all_4_55 = n9
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (186) implies:
% 261.59/67.15 | (187) all_4_55 = n9
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (112), (181), (183) imply:
% 261.59/67.15 | (188) sum(n9, n0) = all_4_50
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (20), (183), (185) imply:
% 261.59/67.15 | (189) sum(n9, n0) = all_4_48
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (66), (181), (187) imply:
% 261.59/67.15 | (190) sum(n9, n0) = all_4_49
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (25), (185), (187) imply:
% 261.59/67.15 | (191) sum(n9, n0) = all_4_53
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n9, all_4_49, n0, n9, simplifying with
% 261.59/67.15 | (18), (190) gives:
% 261.59/67.15 | (192) all_4_49 = n9
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_50, all_4_49, n0, n9, simplifying
% 261.59/67.15 | with (188), (190) gives:
% 261.59/67.15 | (193) all_4_49 = all_4_50
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_49, all_4_48, n0, n9, simplifying
% 261.59/67.15 | with (189), (190) gives:
% 261.59/67.15 | (194) all_4_48 = all_4_49
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_53, all_4_48, n0, n9, simplifying
% 261.59/67.15 | with (189), (191) gives:
% 261.59/67.15 | (195) all_4_48 = all_4_53
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (194), (195) imply:
% 261.59/67.15 | (196) all_4_49 = all_4_53
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (196) implies:
% 261.59/67.15 | (197) all_4_49 = all_4_53
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (192), (193) imply:
% 261.59/67.15 | (198) all_4_50 = n9
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (193), (197) imply:
% 261.59/67.15 | (199) all_4_50 = all_4_53
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (198), (199) imply:
% 261.59/67.15 | (200) all_4_53 = n9
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (195), (200) imply:
% 261.59/67.15 | (201) all_4_48 = n9
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (109), (192), (201) imply:
% 261.59/67.15 | (202) sum(n9, n9) = all_4_92
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (113), (198), (200) imply:
% 261.59/67.15 | (203) sum(n9, n9) = all_4_93
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n7, all_4_92, n9, n9, simplifying with
% 261.59/67.15 | (87), (202) gives:
% 261.59/67.15 | (204) all_4_92 = n7
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_93, all_4_92, n9, n9, simplifying
% 261.59/67.15 | with (202), (203) gives:
% 261.59/67.15 | (205) all_4_92 = all_4_93
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (204), (205) imply:
% 261.59/67.15 | (206) all_4_93 = n7
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (206) implies:
% 261.59/67.15 | (207) all_4_93 = n7
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (49), (204) imply:
% 261.59/67.15 | (208) pred(n7) = all_4_44
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (73), (207) imply:
% 261.59/67.15 | (209) pred(n7) = all_4_47
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (9), (204) imply:
% 261.59/67.15 | (210) succ(n7) = all_4_46
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (114), (207) imply:
% 261.59/67.15 | (211) succ(n7) = all_4_43
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with n8, all_4_43, n7, simplifying with (70),
% 261.59/67.15 | (211) gives:
% 261.59/67.15 | (212) all_4_43 = n8
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with all_4_46, all_4_43, n7, simplifying with
% 261.59/67.15 | (210), (211) gives:
% 261.59/67.15 | (213) all_4_43 = all_4_46
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with n6, all_4_44, n7, simplifying with (67),
% 261.59/67.15 | (208) gives:
% 261.59/67.15 | (214) all_4_44 = n6
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with all_4_47, all_4_44, n7, simplifying with
% 261.59/67.15 | (208), (209) gives:
% 261.59/67.15 | (215) all_4_44 = all_4_47
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (212), (213) imply:
% 261.59/67.15 | (216) all_4_46 = n8
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (214), (215) imply:
% 261.59/67.15 | (217) all_4_47 = n6
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (89), (212), (214) imply:
% 261.59/67.15 | (218) sum(n6, n8) = all_4_42
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (14), (214), (216) imply:
% 261.59/67.15 | (219) sum(n6, n8) = all_4_40
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (44), (212), (217) imply:
% 261.59/67.15 | (220) sum(n6, n8) = all_4_41
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (72), (216), (217) imply:
% 261.59/67.15 | (221) sum(n6, n8) = all_4_45
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n3, all_4_41, n8, n6, simplifying with
% 261.59/67.15 | (37), (220) gives:
% 261.59/67.15 | (222) all_4_41 = n3
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_42, all_4_41, n8, n6, simplifying
% 261.59/67.15 | with (218), (220) gives:
% 261.59/67.15 | (223) all_4_41 = all_4_42
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_41, all_4_40, n8, n6, simplifying
% 261.59/67.15 | with (219), (220) gives:
% 261.59/67.15 | (224) all_4_40 = all_4_41
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_45, all_4_40, n8, n6, simplifying
% 261.59/67.15 | with (219), (221) gives:
% 261.59/67.15 | (225) all_4_40 = all_4_45
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (224), (225) imply:
% 261.59/67.15 | (226) all_4_41 = all_4_45
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (226) implies:
% 261.59/67.15 | (227) all_4_41 = all_4_45
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (222), (223) imply:
% 261.59/67.15 | (228) all_4_42 = n3
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (223), (227) imply:
% 261.59/67.15 | (229) all_4_42 = all_4_45
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (228), (229) imply:
% 261.59/67.15 | (230) all_4_45 = n3
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (230) implies:
% 261.59/67.15 | (231) all_4_45 = n3
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (225), (231) imply:
% 261.59/67.15 | (232) all_4_40 = n3
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (77), (222), (232) imply:
% 261.59/67.15 | (233) sum(n3, n3) = all_4_90
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (86), (228), (231) imply:
% 261.59/67.15 | (234) sum(n3, n3) = all_4_91
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with n6, all_4_90, n3, n3, simplifying with
% 261.59/67.15 | (21), (233) gives:
% 261.59/67.15 | (235) all_4_90 = n6
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (84) with all_4_91, all_4_90, n3, n3, simplifying
% 261.59/67.15 | with (233), (234) gives:
% 261.59/67.15 | (236) all_4_90 = all_4_91
% 261.59/67.15 |
% 261.59/67.15 | COMBINE_EQS: (235), (236) imply:
% 261.59/67.15 | (237) all_4_91 = n6
% 261.59/67.15 |
% 261.59/67.15 | SIMP: (237) implies:
% 261.59/67.15 | (238) all_4_91 = n6
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (100), (235) imply:
% 261.59/67.15 | (239) pred(n6) = all_4_36
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (47), (238) imply:
% 261.59/67.15 | (240) pred(n6) = all_4_39
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (36), (235) imply:
% 261.59/67.15 | (241) succ(n6) = all_4_38
% 261.59/67.15 |
% 261.59/67.15 | REDUCE: (7), (238) imply:
% 261.59/67.15 | (242) succ(n6) = all_4_35
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with n7, all_4_35, n6, simplifying with (80),
% 261.59/67.15 | (242) gives:
% 261.59/67.15 | (243) all_4_35 = n7
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (56) with all_4_38, all_4_35, n6, simplifying with
% 261.59/67.15 | (241), (242) gives:
% 261.59/67.15 | (244) all_4_35 = all_4_38
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with n5, all_4_36, n6, simplifying with (59),
% 261.59/67.15 | (239) gives:
% 261.59/67.15 | (245) all_4_36 = n5
% 261.59/67.15 |
% 261.59/67.15 | GROUND_INST: instantiating (111) with all_4_39, all_4_36, n6, simplifying with
% 261.59/67.15 | (239), (240) gives:
% 261.59/67.15 | (246) all_4_36 = all_4_39
% 261.59/67.15 |
% 261.59/67.16 | COMBINE_EQS: (243), (244) imply:
% 261.59/67.16 | (247) all_4_38 = n7
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (245), (246) imply:
% 261.59/67.16 | (248) all_4_39 = n5
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (69), (243), (245) imply:
% 261.59/67.16 | (249) sum(n5, n7) = all_4_34
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (105), (245), (247) imply:
% 261.59/67.16 | (250) sum(n5, n7) = all_4_32
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (83), (243), (248) imply:
% 261.59/67.16 | (251) sum(n5, n7) = all_4_33
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (88), (247), (248) imply:
% 261.59/67.16 | (252) sum(n5, n7) = all_4_37
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n1, all_4_33, n7, n5, simplifying with
% 261.59/67.16 | (51), (251) gives:
% 261.59/67.16 | (253) all_4_33 = n1
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_34, all_4_33, n7, n5, simplifying
% 261.59/67.16 | with (249), (251) gives:
% 261.59/67.16 | (254) all_4_33 = all_4_34
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_33, all_4_32, n7, n5, simplifying
% 261.59/67.16 | with (250), (251) gives:
% 261.59/67.16 | (255) all_4_32 = all_4_33
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_37, all_4_32, n7, n5, simplifying
% 261.59/67.16 | with (250), (252) gives:
% 261.59/67.16 | (256) all_4_32 = all_4_37
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (255), (256) imply:
% 261.59/67.16 | (257) all_4_33 = all_4_37
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (257) implies:
% 261.59/67.16 | (258) all_4_33 = all_4_37
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (253), (254) imply:
% 261.59/67.16 | (259) all_4_34 = n1
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (254), (258) imply:
% 261.59/67.16 | (260) all_4_34 = all_4_37
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (259), (260) imply:
% 261.59/67.16 | (261) all_4_37 = n1
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (256), (261) imply:
% 261.59/67.16 | (262) all_4_32 = n1
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (43), (253), (262) imply:
% 261.59/67.16 | (263) sum(n1, n1) = all_4_88
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (31), (259), (261) imply:
% 261.59/67.16 | (264) sum(n1, n1) = all_4_89
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n2, all_4_88, n1, n1, simplifying with
% 261.59/67.16 | (121), (263) gives:
% 261.59/67.16 | (265) all_4_88 = n2
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_89, all_4_88, n1, n1, simplifying
% 261.59/67.16 | with (263), (264) gives:
% 261.59/67.16 | (266) all_4_88 = all_4_89
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (265), (266) imply:
% 261.59/67.16 | (267) all_4_89 = n2
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (38), (265) imply:
% 261.59/67.16 | (268) pred(n2) = all_4_28
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (48), (267) imply:
% 261.59/67.16 | (269) pred(n2) = all_4_31
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (62), (265) imply:
% 261.59/67.16 | (270) succ(n2) = all_4_30
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (12), (267) imply:
% 261.59/67.16 | (271) succ(n2) = all_4_27
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with n3, all_4_27, n2, simplifying with (78),
% 261.59/67.16 | (271) gives:
% 261.59/67.16 | (272) all_4_27 = n3
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with all_4_30, all_4_27, n2, simplifying with
% 261.59/67.16 | (270), (271) gives:
% 261.59/67.16 | (273) all_4_27 = all_4_30
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with n1, all_4_28, n2, simplifying with (98),
% 261.59/67.16 | (268) gives:
% 261.59/67.16 | (274) all_4_28 = n1
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with all_4_31, all_4_28, n2, simplifying with
% 261.59/67.16 | (268), (269) gives:
% 261.59/67.16 | (275) all_4_28 = all_4_31
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (272), (273) imply:
% 261.59/67.16 | (276) all_4_30 = n3
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (274), (275) imply:
% 261.59/67.16 | (277) all_4_31 = n1
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (2), (272), (274) imply:
% 261.59/67.16 | (278) sum(n1, n3) = all_4_26
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (16), (274), (276) imply:
% 261.59/67.16 | (279) sum(n1, n3) = all_4_24
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (28), (272), (277) imply:
% 261.59/67.16 | (280) sum(n1, n3) = all_4_25
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (41), (276), (277) imply:
% 261.59/67.16 | (281) sum(n1, n3) = all_4_29
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n4, all_4_25, n3, n1, simplifying with
% 261.59/67.16 | (110), (280) gives:
% 261.59/67.16 | (282) all_4_25 = n4
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_26, all_4_25, n3, n1, simplifying
% 261.59/67.16 | with (278), (280) gives:
% 261.59/67.16 | (283) all_4_25 = all_4_26
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_25, all_4_24, n3, n1, simplifying
% 261.59/67.16 | with (279), (280) gives:
% 261.59/67.16 | (284) all_4_24 = all_4_25
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_29, all_4_24, n3, n1, simplifying
% 261.59/67.16 | with (279), (281) gives:
% 261.59/67.16 | (285) all_4_24 = all_4_29
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (284), (285) imply:
% 261.59/67.16 | (286) all_4_25 = all_4_29
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (286) implies:
% 261.59/67.16 | (287) all_4_25 = all_4_29
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (282), (283) imply:
% 261.59/67.16 | (288) all_4_26 = n4
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (283), (287) imply:
% 261.59/67.16 | (289) all_4_26 = all_4_29
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (288), (289) imply:
% 261.59/67.16 | (290) all_4_29 = n4
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (285), (290) imply:
% 261.59/67.16 | (291) all_4_24 = n4
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (6), (282), (291) imply:
% 261.59/67.16 | (292) sum(n4, n4) = all_4_86
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (46), (288), (290) imply:
% 261.59/67.16 | (293) sum(n4, n4) = all_4_87
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n8, all_4_86, n4, n4, simplifying with
% 261.59/67.16 | (101), (292) gives:
% 261.59/67.16 | (294) all_4_86 = n8
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_87, all_4_86, n4, n4, simplifying
% 261.59/67.16 | with (292), (293) gives:
% 261.59/67.16 | (295) all_4_86 = all_4_87
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (294), (295) imply:
% 261.59/67.16 | (296) all_4_87 = n8
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (296) implies:
% 261.59/67.16 | (297) all_4_87 = n8
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (35), (294) imply:
% 261.59/67.16 | (298) pred(n8) = all_4_20
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (85), (297) imply:
% 261.59/67.16 | (299) pred(n8) = all_4_23
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (32), (294) imply:
% 261.59/67.16 | (300) succ(n8) = all_4_22
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (5), (297) imply:
% 261.59/67.16 | (301) succ(n8) = all_4_19
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with n9, all_4_19, n8, simplifying with (81),
% 261.59/67.16 | (301) gives:
% 261.59/67.16 | (302) all_4_19 = n9
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with all_4_22, all_4_19, n8, simplifying with
% 261.59/67.16 | (300), (301) gives:
% 261.59/67.16 | (303) all_4_19 = all_4_22
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with n7, all_4_20, n8, simplifying with (33),
% 261.59/67.16 | (298) gives:
% 261.59/67.16 | (304) all_4_20 = n7
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with all_4_23, all_4_20, n8, simplifying with
% 261.59/67.16 | (298), (299) gives:
% 261.59/67.16 | (305) all_4_20 = all_4_23
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (302), (303) imply:
% 261.59/67.16 | (306) all_4_22 = n9
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (304), (305) imply:
% 261.59/67.16 | (307) all_4_23 = n7
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (17), (302), (304) imply:
% 261.59/67.16 | (308) sum(n7, n9) = all_4_18
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (64), (304), (306) imply:
% 261.59/67.16 | (309) sum(n7, n9) = all_4_16
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (11), (302), (307) imply:
% 261.59/67.16 | (310) sum(n7, n9) = all_4_17
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (26), (306), (307) imply:
% 261.59/67.16 | (311) sum(n7, n9) = all_4_21
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n5, all_4_17, n9, n7, simplifying with
% 261.59/67.16 | (93), (310) gives:
% 261.59/67.16 | (312) all_4_17 = n5
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_18, all_4_17, n9, n7, simplifying
% 261.59/67.16 | with (308), (310) gives:
% 261.59/67.16 | (313) all_4_17 = all_4_18
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_17, all_4_16, n9, n7, simplifying
% 261.59/67.16 | with (309), (310) gives:
% 261.59/67.16 | (314) all_4_16 = all_4_17
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_21, all_4_16, n9, n7, simplifying
% 261.59/67.16 | with (309), (311) gives:
% 261.59/67.16 | (315) all_4_16 = all_4_21
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (314), (315) imply:
% 261.59/67.16 | (316) all_4_17 = all_4_21
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (316) implies:
% 261.59/67.16 | (317) all_4_17 = all_4_21
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (312), (313) imply:
% 261.59/67.16 | (318) all_4_18 = n5
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (313), (317) imply:
% 261.59/67.16 | (319) all_4_18 = all_4_21
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (318), (319) imply:
% 261.59/67.16 | (320) all_4_21 = n5
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (315), (320) imply:
% 261.59/67.16 | (321) all_4_16 = n5
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (94), (312), (321) imply:
% 261.59/67.16 | (322) sum(n5, n5) = all_4_84
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (8), (318), (320) imply:
% 261.59/67.16 | (323) sum(n5, n5) = all_4_85
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n10, all_4_84, n5, n5, simplifying with
% 261.59/67.16 | (76), (322) gives:
% 261.59/67.16 | (324) all_4_84 = n10
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_85, all_4_84, n5, n5, simplifying
% 261.59/67.16 | with (322), (323) gives:
% 261.59/67.16 | (325) all_4_84 = all_4_85
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (324), (325) imply:
% 261.59/67.16 | (326) all_4_85 = n10
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (326) implies:
% 261.59/67.16 | (327) all_4_85 = n10
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (106), (324) imply:
% 261.59/67.16 | (328) pred(n10) = all_4_12
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (39), (327) imply:
% 261.59/67.16 | (329) pred(n10) = all_4_15
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (3), (324) imply:
% 261.59/67.16 | (330) succ(n10) = all_4_14
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (108), (327) imply:
% 261.59/67.16 | (331) succ(n10) = all_4_11
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with n0, all_4_11, n10, simplifying with (53),
% 261.59/67.16 | (331) gives:
% 261.59/67.16 | (332) all_4_11 = n0
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with all_4_14, all_4_11, n10, simplifying with
% 261.59/67.16 | (330), (331) gives:
% 261.59/67.16 | (333) all_4_11 = all_4_14
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with n9, all_4_12, n10, simplifying with
% 261.59/67.16 | (91), (328) gives:
% 261.59/67.16 | (334) all_4_12 = n9
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with all_4_15, all_4_12, n10, simplifying
% 261.59/67.16 | with (328), (329) gives:
% 261.59/67.16 | (335) all_4_12 = all_4_15
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (332), (333) imply:
% 261.59/67.16 | (336) all_4_14 = n0
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (334), (335) imply:
% 261.59/67.16 | (337) all_4_15 = n9
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (65), (332), (334) imply:
% 261.59/67.16 | (338) sum(n9, n0) = all_4_10
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (45), (334), (336) imply:
% 261.59/67.16 | (339) sum(n9, n0) = all_4_8
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (71), (332), (337) imply:
% 261.59/67.16 | (340) sum(n9, n0) = all_4_9
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (40), (336), (337) imply:
% 261.59/67.16 | (341) sum(n9, n0) = all_4_13
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n9, all_4_9, n0, n9, simplifying with
% 261.59/67.16 | (18), (340) gives:
% 261.59/67.16 | (342) all_4_9 = n9
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_10, all_4_9, n0, n9, simplifying
% 261.59/67.16 | with (338), (340) gives:
% 261.59/67.16 | (343) all_4_9 = all_4_10
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_9, all_4_8, n0, n9, simplifying
% 261.59/67.16 | with (339), (340) gives:
% 261.59/67.16 | (344) all_4_8 = all_4_9
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_13, all_4_8, n0, n9, simplifying
% 261.59/67.16 | with (339), (341) gives:
% 261.59/67.16 | (345) all_4_8 = all_4_13
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (344), (345) imply:
% 261.59/67.16 | (346) all_4_9 = all_4_13
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (346) implies:
% 261.59/67.16 | (347) all_4_9 = all_4_13
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (342), (343) imply:
% 261.59/67.16 | (348) all_4_10 = n9
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (343), (347) imply:
% 261.59/67.16 | (349) all_4_10 = all_4_13
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (348), (349) imply:
% 261.59/67.16 | (350) all_4_13 = n9
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (345), (350) imply:
% 261.59/67.16 | (351) all_4_8 = n9
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (19), (342), (351) imply:
% 261.59/67.16 | (352) sum(n9, n9) = all_4_82
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (95), (348), (350) imply:
% 261.59/67.16 | (353) sum(n9, n9) = all_4_83
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n7, all_4_82, n9, n9, simplifying with
% 261.59/67.16 | (87), (352) gives:
% 261.59/67.16 | (354) all_4_82 = n7
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_83, all_4_82, n9, n9, simplifying
% 261.59/67.16 | with (352), (353) gives:
% 261.59/67.16 | (355) all_4_82 = all_4_83
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (354), (355) imply:
% 261.59/67.16 | (356) all_4_83 = n7
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (356) implies:
% 261.59/67.16 | (357) all_4_83 = n7
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (82), (354) imply:
% 261.59/67.16 | (358) pred(n7) = all_4_4
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (54), (357) imply:
% 261.59/67.16 | (359) pred(n7) = all_4_7
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (55), (354) imply:
% 261.59/67.16 | (360) succ(n7) = all_4_6
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (10), (357) imply:
% 261.59/67.16 | (361) succ(n7) = all_4_3
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with n8, all_4_3, n7, simplifying with (70),
% 261.59/67.16 | (361) gives:
% 261.59/67.16 | (362) all_4_3 = n8
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (56) with all_4_6, all_4_3, n7, simplifying with
% 261.59/67.16 | (360), (361) gives:
% 261.59/67.16 | (363) all_4_3 = all_4_6
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with n6, all_4_4, n7, simplifying with (67),
% 261.59/67.16 | (358) gives:
% 261.59/67.16 | (364) all_4_4 = n6
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with all_4_7, all_4_4, n7, simplifying with
% 261.59/67.16 | (358), (359) gives:
% 261.59/67.16 | (365) all_4_4 = all_4_7
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (362), (363) imply:
% 261.59/67.16 | (366) all_4_6 = n8
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (364), (365) imply:
% 261.59/67.16 | (367) all_4_7 = n6
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (22), (362), (364) imply:
% 261.59/67.16 | (368) sum(n6, n8) = all_4_2
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (50), (364), (366) imply:
% 261.59/67.16 | (369) sum(n6, n8) = all_4_0
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (15), (362), (367) imply:
% 261.59/67.16 | (370) sum(n6, n8) = all_4_1
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (102), (366), (367) imply:
% 261.59/67.16 | (371) sum(n6, n8) = all_4_5
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n3, all_4_1, n8, n6, simplifying with
% 261.59/67.16 | (37), (370) gives:
% 261.59/67.16 | (372) all_4_1 = n3
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_2, all_4_1, n8, n6, simplifying
% 261.59/67.16 | with (368), (370) gives:
% 261.59/67.16 | (373) all_4_1 = all_4_2
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_1, all_4_0, n8, n6, simplifying
% 261.59/67.16 | with (369), (370) gives:
% 261.59/67.16 | (374) all_4_0 = all_4_1
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_5, all_4_0, n8, n6, simplifying
% 261.59/67.16 | with (369), (371) gives:
% 261.59/67.16 | (375) all_4_0 = all_4_5
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (374), (375) imply:
% 261.59/67.16 | (376) all_4_1 = all_4_5
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (376) implies:
% 261.59/67.16 | (377) all_4_1 = all_4_5
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (372), (373) imply:
% 261.59/67.16 | (378) all_4_2 = n3
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (373), (377) imply:
% 261.59/67.16 | (379) all_4_2 = all_4_5
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (378), (379) imply:
% 261.59/67.16 | (380) all_4_5 = n3
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (375), (380) imply:
% 261.59/67.16 | (381) all_4_0 = n3
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (68), (372), (381) imply:
% 261.59/67.16 | (382) sum(n3, n3) = all_4_80
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (96), (378), (380) imply:
% 261.59/67.16 | (383) sum(n3, n3) = all_4_81
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with n6, all_4_80, n3, n3, simplifying with
% 261.59/67.16 | (21), (382) gives:
% 261.59/67.16 | (384) all_4_80 = n6
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (84) with all_4_81, all_4_80, n3, n3, simplifying
% 261.59/67.16 | with (382), (383) gives:
% 261.59/67.16 | (385) all_4_80 = all_4_81
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (384), (385) imply:
% 261.59/67.16 | (386) all_4_81 = n6
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (386) implies:
% 261.59/67.16 | (387) all_4_81 = n6
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (1), (384), (387) imply:
% 261.59/67.16 | (388) $false
% 261.59/67.16 |
% 261.59/67.16 | CLOSE: (388) is inconsistent.
% 261.59/67.16 |
% 261.59/67.16 End of proof
% 261.59/67.16
% 261.59/67.16 Sub-proof #204 shows that the following formulas are inconsistent:
% 261.59/67.16 ----------------------------------------------------------------
% 261.59/67.16 (1) ~ (all_4_80 = all_4_81)
% 261.59/67.16 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.59/67.16 (3) succ(all_4_84) = all_4_14
% 261.59/67.16 (4) succ(all_4_95) = all_4_51
% 261.59/67.16 (5) succ(all_4_87) = all_4_19
% 261.59/67.16 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.59/67.16 (7) succ(n1) = n2
% 261.59/67.16 (8) succ(all_4_91) = all_4_35
% 261.59/67.16 (9) sum(n4, n6) = n10
% 261.59/67.16 (10) sum(all_4_21, all_4_18) = all_4_85
% 261.59/67.16 (11) succ(all_4_92) = all_4_46
% 261.59/67.16 (12) succ(all_4_83) = all_4_3
% 261.59/67.16 (13) sum(all_4_23, all_4_19) = all_4_17
% 261.59/67.16 (14) succ(all_4_89) = all_4_27
% 261.59/67.16 (15) pred(all_4_95) = all_4_55
% 261.59/67.16 (16) sum(all_4_44, all_4_46) = all_4_40
% 261.59/67.16 (17) sum(all_4_7, all_4_3) = all_4_1
% 261.59/67.16 (18) sum(all_4_28, all_4_30) = all_4_24
% 261.59/67.16 (19) sum(all_4_20, all_4_19) = all_4_18
% 261.59/67.16 (20) succ(n9) = n10
% 261.59/67.16 (21) sum(all_4_9, all_4_8) = all_4_82
% 261.59/67.16 (22) sum(all_4_52, all_4_54) = all_4_48
% 261.59/67.16 (23) sum(all_4_4, all_4_3) = all_4_2
% 261.59/67.16 (24) sum(all_4_60, all_4_62) = all_4_56
% 261.59/67.16 (25) sum(all_4_71, all_4_70) = all_4_69
% 261.59/67.16 (26) sum(all_4_55, all_4_54) = all_4_53
% 261.59/67.16 (27) sum(all_4_23, all_4_22) = all_4_21
% 261.59/67.16 (28) sum(n2, n4) = n6
% 261.59/67.16 (29) sum(all_4_63, all_4_59) = all_4_57
% 261.59/67.16 (30) sum(all_4_31, all_4_27) = all_4_25
% 261.59/67.16 (31) sum(all_4_63, all_4_62) = all_4_61
% 261.59/67.16 (32) succ(all_4_94) = all_4_54
% 261.59/67.16 (33) sum(all_4_37, all_4_34) = all_4_89
% 261.59/67.16 (34) sum(n8, n8) = n5
% 261.59/67.16 (35) succ(all_4_86) = all_4_22
% 261.59/67.16 (36) pred(all_4_99) = all_4_71
% 261.59/67.16 (37) pred(all_4_86) = all_4_20
% 261.59/67.16 (38) succ(all_4_90) = all_4_38
% 261.59/67.16 (39) pred(all_4_88) = all_4_28
% 261.59/67.16 (40) pred(all_4_85) = all_4_15
% 261.59/67.16 (41) sum(all_4_15, all_4_14) = all_4_13
% 261.59/67.16 (42) sum(all_4_31, all_4_30) = all_4_29
% 261.59/67.16 (43) sum(n8, n10) = n7
% 261.59/67.16 (44) sum(all_4_57, all_4_56) = all_4_94
% 261.59/67.16 (45) sum(n0, n2) = n2
% 261.59/67.16 (46) sum(all_4_33, all_4_32) = all_4_88
% 261.59/67.16 (47) sum(n3, n5) = n8
% 261.59/67.16 (48) sum(n10, n10) = n9
% 261.59/67.16 (49) sum(all_4_47, all_4_43) = all_4_41
% 261.59/67.16 (50) sum(all_4_12, all_4_14) = all_4_8
% 261.59/67.16 (51) pred(n5) = n4
% 261.59/67.16 (52) sum(all_4_29, all_4_26) = all_4_87
% 261.59/67.16 (53) pred(all_4_91) = all_4_39
% 261.59/67.16 (54) pred(all_4_89) = all_4_31
% 261.59/67.16 (55) pred(all_4_92) = all_4_44
% 261.59/67.16 (56) sum(all_4_4, all_4_6) = all_4_0
% 261.59/67.16 (57) sum(all_4_65, all_4_64) = all_4_96
% 261.59/67.16 (58) pred(all_4_83) = all_4_7
% 261.59/67.16 (59) succ(all_4_82) = all_4_6
% 261.59/67.16 (60) pred(n4) = n3
% 261.59/67.16 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.59/67.16 | ~ (succ(v2) = v0))
% 261.59/67.16 (62) pred(all_4_97) = all_4_63
% 261.59/67.16 (63) succ(all_4_99) = all_4_67
% 261.59/67.16 (64) pred(n9) = n8
% 261.59/67.16 (65) succ(n3) = n4
% 261.59/67.16 (66) pred(all_4_96) = all_4_60
% 261.59/67.16 (67) succ(all_4_96) = all_4_62
% 261.59/67.16 (68) pred(n3) = n2
% 261.59/67.16 (69) succ(all_4_88) = all_4_30
% 261.59/67.16 (70) sum(all_4_20, all_4_22) = all_4_16
% 261.59/67.16 (71) sum(all_4_12, all_4_11) = all_4_10
% 261.59/67.16 (72) sum(all_4_55, all_4_51) = all_4_49
% 261.59/67.16 (73) sum(all_4_1, all_4_0) = all_4_80
% 261.59/67.16 (74) sum(all_4_36, all_4_35) = all_4_34
% 261.59/67.16 (75) sum(all_4_15, all_4_11) = all_4_9
% 261.59/67.16 (76) sum(all_4_47, all_4_46) = all_4_45
% 261.59/67.16 (77) pred(all_4_93) = all_4_47
% 261.59/67.16 (78) sum(all_4_71, all_4_67) = all_4_65
% 261.59/67.16 (79) sum(all_4_60, all_4_59) = all_4_58
% 261.59/67.16 (80) sum(all_4_41, all_4_40) = all_4_90
% 261.59/67.16 (81) sum(all_4_68, all_4_67) = all_4_66
% 261.59/67.16 (82) all_4_99 = n4
% 261.59/67.16 (83) pred(all_4_82) = all_4_4
% 261.59/67.16 (84) sum(all_4_39, all_4_35) = all_4_33
% 261.59/67.16 (85) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.59/67.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.59/67.16 (86) pred(all_4_87) = all_4_23
% 261.59/67.16 (87) sum(all_4_45, all_4_42) = all_4_91
% 261.59/67.16 (88) sum(all_4_39, all_4_38) = all_4_37
% 261.59/67.16 (89) sum(n6, n6) = n1
% 261.59/67.16 (90) sum(all_4_44, all_4_43) = all_4_42
% 261.59/67.16 (91) sum(n2, n2) = all_4_99
% 261.59/67.16 (92) succ(n5) = n6
% 261.59/67.16 (93) sum(all_4_69, all_4_66) = all_4_97
% 261.59/67.16 (94) succ(n4) = n5
% 261.59/67.16 (95) sum(all_4_17, all_4_16) = all_4_84
% 261.59/67.16 (96) sum(all_4_13, all_4_10) = all_4_83
% 261.59/67.16 (97) sum(all_4_5, all_4_2) = all_4_81
% 261.59/67.16 (98) succ(all_4_98) = all_4_70
% 261.59/67.16 (99) pred(all_4_90) = all_4_36
% 261.59/67.16 (100) pred(n1) = n0
% 261.59/67.16 (101) sum(all_4_7, all_4_6) = all_4_5
% 261.59/67.16 (102) sum(all_4_68, all_4_70) = all_4_64
% 261.59/67.16 (103) succ(all_4_97) = all_4_59
% 261.59/67.16 (104) sum(all_4_36, all_4_38) = all_4_32
% 261.59/67.16 (105) pred(all_4_84) = all_4_12
% 261.59/67.16 (106) sum(all_4_61, all_4_58) = all_4_95
% 261.59/67.16 (107) sum(n7, n7) = n3
% 261.59/67.16 (108) all_4_98 = n4
% 261.59/67.16 (109) succ(all_4_85) = all_4_11
% 261.59/67.16 (110) sum(all_4_49, all_4_48) = all_4_92
% 261.59/67.16 (111) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.59/67.16 | ~ (pred(v2) = v0))
% 261.59/67.16 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.59/67.16 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.59/67.16 (114) succ(all_4_93) = all_4_43
% 261.59/67.16 (115) pred(all_4_98) = all_4_68
% 261.59/67.16 (116) pred(all_4_94) = all_4_52
% 261.59/67.16
% 261.59/67.16 Begin of proof
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (108), (115) imply:
% 261.59/67.16 | (117) pred(n4) = all_4_68
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (36), (82) imply:
% 261.59/67.16 | (118) pred(n4) = all_4_71
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (98), (108) imply:
% 261.59/67.16 | (119) succ(n4) = all_4_70
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (63), (82) imply:
% 261.59/67.16 | (120) succ(n4) = all_4_67
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (82), (91) imply:
% 261.59/67.16 | (121) sum(n2, n2) = n4
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (61) with n5, all_4_67, n4, simplifying with (94),
% 261.59/67.16 | (120) gives:
% 261.59/67.16 | (122) all_4_67 = n5
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (61) with all_4_70, all_4_67, n4, simplifying with
% 261.59/67.16 | (119), (120) gives:
% 261.59/67.16 | (123) all_4_67 = all_4_70
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with n3, all_4_68, n4, simplifying with (60),
% 261.59/67.16 | (117) gives:
% 261.59/67.16 | (124) all_4_68 = n3
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with all_4_71, all_4_68, n4, simplifying with
% 261.59/67.16 | (117), (118) gives:
% 261.59/67.16 | (125) all_4_68 = all_4_71
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (122), (123) imply:
% 261.59/67.16 | (126) all_4_70 = n5
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (124), (125) imply:
% 261.59/67.16 | (127) all_4_71 = n3
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (81), (122), (124) imply:
% 261.59/67.16 | (128) sum(n3, n5) = all_4_66
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (102), (124), (126) imply:
% 261.59/67.16 | (129) sum(n3, n5) = all_4_64
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (78), (122), (127) imply:
% 261.59/67.16 | (130) sum(n3, n5) = all_4_65
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (25), (126), (127) imply:
% 261.59/67.16 | (131) sum(n3, n5) = all_4_69
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (85) with n8, all_4_65, n5, n3, simplifying with
% 261.59/67.16 | (47), (130) gives:
% 261.59/67.16 | (132) all_4_65 = n8
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (85) with all_4_66, all_4_65, n5, n3, simplifying
% 261.59/67.16 | with (128), (130) gives:
% 261.59/67.16 | (133) all_4_65 = all_4_66
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (85) with all_4_66, all_4_64, n5, n3, simplifying
% 261.59/67.16 | with (128), (129) gives:
% 261.59/67.16 | (134) all_4_64 = all_4_66
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (85) with all_4_69, all_4_64, n5, n3, simplifying
% 261.59/67.16 | with (129), (131) gives:
% 261.59/67.16 | (135) all_4_64 = all_4_69
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (134), (135) imply:
% 261.59/67.16 | (136) all_4_66 = all_4_69
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (136) implies:
% 261.59/67.16 | (137) all_4_66 = all_4_69
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (132), (133) imply:
% 261.59/67.16 | (138) all_4_66 = n8
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (138) implies:
% 261.59/67.16 | (139) all_4_66 = n8
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (137), (139) imply:
% 261.59/67.16 | (140) all_4_69 = n8
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (135), (140) imply:
% 261.59/67.16 | (141) all_4_64 = n8
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (57), (132), (141) imply:
% 261.59/67.16 | (142) sum(n8, n8) = all_4_96
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (93), (139), (140) imply:
% 261.59/67.16 | (143) sum(n8, n8) = all_4_97
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (85) with n5, all_4_96, n8, n8, simplifying with
% 261.59/67.16 | (34), (142) gives:
% 261.59/67.16 | (144) all_4_96 = n5
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (85) with all_4_97, all_4_96, n8, n8, simplifying
% 261.59/67.16 | with (142), (143) gives:
% 261.59/67.16 | (145) all_4_96 = all_4_97
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (144), (145) imply:
% 261.59/67.16 | (146) all_4_97 = n5
% 261.59/67.16 |
% 261.59/67.16 | SIMP: (146) implies:
% 261.59/67.16 | (147) all_4_97 = n5
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (66), (144) imply:
% 261.59/67.16 | (148) pred(n5) = all_4_60
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (62), (147) imply:
% 261.59/67.16 | (149) pred(n5) = all_4_63
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (67), (144) imply:
% 261.59/67.16 | (150) succ(n5) = all_4_62
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (103), (147) imply:
% 261.59/67.16 | (151) succ(n5) = all_4_59
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (61) with n6, all_4_59, n5, simplifying with (92),
% 261.59/67.16 | (151) gives:
% 261.59/67.16 | (152) all_4_59 = n6
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (61) with all_4_62, all_4_59, n5, simplifying with
% 261.59/67.16 | (150), (151) gives:
% 261.59/67.16 | (153) all_4_59 = all_4_62
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with n4, all_4_60, n5, simplifying with (51),
% 261.59/67.16 | (148) gives:
% 261.59/67.16 | (154) all_4_60 = n4
% 261.59/67.16 |
% 261.59/67.16 | GROUND_INST: instantiating (111) with all_4_63, all_4_60, n5, simplifying with
% 261.59/67.16 | (148), (149) gives:
% 261.59/67.16 | (155) all_4_60 = all_4_63
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (152), (153) imply:
% 261.59/67.16 | (156) all_4_62 = n6
% 261.59/67.16 |
% 261.59/67.16 | COMBINE_EQS: (154), (155) imply:
% 261.59/67.16 | (157) all_4_63 = n4
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (79), (152), (154) imply:
% 261.59/67.16 | (158) sum(n4, n6) = all_4_58
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (24), (154), (156) imply:
% 261.59/67.16 | (159) sum(n4, n6) = all_4_56
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (29), (152), (157) imply:
% 261.59/67.16 | (160) sum(n4, n6) = all_4_57
% 261.59/67.16 |
% 261.59/67.16 | REDUCE: (31), (156), (157) imply:
% 261.59/67.16 | (161) sum(n4, n6) = all_4_61
% 261.59/67.16 |
% 261.59/67.17 | GROUND_INST: instantiating (85) with n10, all_4_57, n6, n4, simplifying with
% 261.59/67.17 | (9), (160) gives:
% 261.59/67.17 | (162) all_4_57 = n10
% 261.59/67.17 |
% 261.59/67.17 | GROUND_INST: instantiating (85) with all_4_58, all_4_57, n6, n4, simplifying
% 261.59/67.17 | with (158), (160) gives:
% 261.59/67.17 | (163) all_4_57 = all_4_58
% 261.59/67.17 |
% 261.59/67.17 | GROUND_INST: instantiating (85) with all_4_57, all_4_56, n6, n4, simplifying
% 261.59/67.17 | with (159), (160) gives:
% 261.59/67.17 | (164) all_4_56 = all_4_57
% 261.59/67.17 |
% 261.59/67.17 | GROUND_INST: instantiating (85) with all_4_61, all_4_56, n6, n4, simplifying
% 261.59/67.17 | with (159), (161) gives:
% 261.59/67.17 | (165) all_4_56 = all_4_61
% 261.59/67.17 |
% 261.59/67.17 | COMBINE_EQS: (164), (165) imply:
% 261.59/67.17 | (166) all_4_57 = all_4_61
% 261.59/67.17 |
% 261.59/67.17 | SIMP: (166) implies:
% 261.67/67.17 | (167) all_4_57 = all_4_61
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (162), (163) imply:
% 261.67/67.17 | (168) all_4_58 = n10
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (163), (167) imply:
% 261.67/67.17 | (169) all_4_58 = all_4_61
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (168), (169) imply:
% 261.67/67.17 | (170) all_4_61 = n10
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (165), (170) imply:
% 261.67/67.17 | (171) all_4_56 = n10
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (44), (162), (171) imply:
% 261.67/67.17 | (172) sum(n10, n10) = all_4_94
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (106), (168), (170) imply:
% 261.67/67.17 | (173) sum(n10, n10) = all_4_95
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n9, all_4_94, n10, n10, simplifying with
% 261.67/67.17 | (48), (172) gives:
% 261.67/67.17 | (174) all_4_94 = n9
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_95, all_4_94, n10, n10, simplifying
% 261.67/67.17 | with (172), (173) gives:
% 261.67/67.17 | (175) all_4_94 = all_4_95
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (174), (175) imply:
% 261.67/67.17 | (176) all_4_95 = n9
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (116), (174) imply:
% 261.67/67.17 | (177) pred(n9) = all_4_52
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (15), (176) imply:
% 261.67/67.17 | (178) pred(n9) = all_4_55
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (32), (174) imply:
% 261.67/67.17 | (179) succ(n9) = all_4_54
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (4), (176) imply:
% 261.67/67.17 | (180) succ(n9) = all_4_51
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n10, all_4_51, n9, simplifying with (20),
% 261.67/67.17 | (180) gives:
% 261.67/67.17 | (181) all_4_51 = n10
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_54, all_4_51, n9, simplifying with
% 261.67/67.17 | (179), (180) gives:
% 261.67/67.17 | (182) all_4_51 = all_4_54
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n8, all_4_52, n9, simplifying with (64),
% 261.67/67.17 | (177) gives:
% 261.67/67.17 | (183) all_4_52 = n8
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_55, all_4_52, n9, simplifying with
% 261.67/67.17 | (177), (178) gives:
% 261.67/67.17 | (184) all_4_52 = all_4_55
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (181), (182) imply:
% 261.67/67.17 | (185) all_4_54 = n10
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (183), (184) imply:
% 261.67/67.17 | (186) all_4_55 = n8
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (186) implies:
% 261.67/67.17 | (187) all_4_55 = n8
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (112), (181), (183) imply:
% 261.67/67.17 | (188) sum(n8, n10) = all_4_50
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (22), (183), (185) imply:
% 261.67/67.17 | (189) sum(n8, n10) = all_4_48
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (72), (181), (187) imply:
% 261.67/67.17 | (190) sum(n8, n10) = all_4_49
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (26), (185), (187) imply:
% 261.67/67.17 | (191) sum(n8, n10) = all_4_53
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n7, all_4_49, n10, n8, simplifying with
% 261.67/67.17 | (43), (190) gives:
% 261.67/67.17 | (192) all_4_49 = n7
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_50, all_4_49, n10, n8, simplifying
% 261.67/67.17 | with (188), (190) gives:
% 261.67/67.17 | (193) all_4_49 = all_4_50
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_49, all_4_48, n10, n8, simplifying
% 261.67/67.17 | with (189), (190) gives:
% 261.67/67.17 | (194) all_4_48 = all_4_49
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_53, all_4_48, n10, n8, simplifying
% 261.67/67.17 | with (189), (191) gives:
% 261.67/67.17 | (195) all_4_48 = all_4_53
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (194), (195) imply:
% 261.67/67.17 | (196) all_4_49 = all_4_53
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (196) implies:
% 261.67/67.17 | (197) all_4_49 = all_4_53
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (192), (193) imply:
% 261.67/67.17 | (198) all_4_50 = n7
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (193), (197) imply:
% 261.67/67.17 | (199) all_4_50 = all_4_53
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (198), (199) imply:
% 261.67/67.17 | (200) all_4_53 = n7
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (195), (200) imply:
% 261.67/67.17 | (201) all_4_48 = n7
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (110), (192), (201) imply:
% 261.67/67.17 | (202) sum(n7, n7) = all_4_92
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (113), (198), (200) imply:
% 261.67/67.17 | (203) sum(n7, n7) = all_4_93
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n3, all_4_92, n7, n7, simplifying with
% 261.67/67.17 | (107), (202) gives:
% 261.67/67.17 | (204) all_4_92 = n3
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_93, all_4_92, n7, n7, simplifying
% 261.67/67.17 | with (202), (203) gives:
% 261.67/67.17 | (205) all_4_92 = all_4_93
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (204), (205) imply:
% 261.67/67.17 | (206) all_4_93 = n3
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (206) implies:
% 261.67/67.17 | (207) all_4_93 = n3
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (55), (204) imply:
% 261.67/67.17 | (208) pred(n3) = all_4_44
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (77), (207) imply:
% 261.67/67.17 | (209) pred(n3) = all_4_47
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (11), (204) imply:
% 261.67/67.17 | (210) succ(n3) = all_4_46
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (114), (207) imply:
% 261.67/67.17 | (211) succ(n3) = all_4_43
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n4, all_4_43, n3, simplifying with (65),
% 261.67/67.17 | (211) gives:
% 261.67/67.17 | (212) all_4_43 = n4
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_46, all_4_43, n3, simplifying with
% 261.67/67.17 | (210), (211) gives:
% 261.67/67.17 | (213) all_4_43 = all_4_46
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n2, all_4_44, n3, simplifying with (68),
% 261.67/67.17 | (208) gives:
% 261.67/67.17 | (214) all_4_44 = n2
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_47, all_4_44, n3, simplifying with
% 261.67/67.17 | (208), (209) gives:
% 261.67/67.17 | (215) all_4_44 = all_4_47
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (212), (213) imply:
% 261.67/67.17 | (216) all_4_46 = n4
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (214), (215) imply:
% 261.67/67.17 | (217) all_4_47 = n2
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (90), (212), (214) imply:
% 261.67/67.17 | (218) sum(n2, n4) = all_4_42
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (16), (214), (216) imply:
% 261.67/67.17 | (219) sum(n2, n4) = all_4_40
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (49), (212), (217) imply:
% 261.67/67.17 | (220) sum(n2, n4) = all_4_41
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (76), (216), (217) imply:
% 261.67/67.17 | (221) sum(n2, n4) = all_4_45
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n6, all_4_41, n4, n2, simplifying with
% 261.67/67.17 | (28), (220) gives:
% 261.67/67.17 | (222) all_4_41 = n6
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_42, all_4_41, n4, n2, simplifying
% 261.67/67.17 | with (218), (220) gives:
% 261.67/67.17 | (223) all_4_41 = all_4_42
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_41, all_4_40, n4, n2, simplifying
% 261.67/67.17 | with (219), (220) gives:
% 261.67/67.17 | (224) all_4_40 = all_4_41
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_45, all_4_40, n4, n2, simplifying
% 261.67/67.17 | with (219), (221) gives:
% 261.67/67.17 | (225) all_4_40 = all_4_45
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (224), (225) imply:
% 261.67/67.17 | (226) all_4_41 = all_4_45
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (226) implies:
% 261.67/67.17 | (227) all_4_41 = all_4_45
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (222), (223) imply:
% 261.67/67.17 | (228) all_4_42 = n6
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (223), (227) imply:
% 261.67/67.17 | (229) all_4_42 = all_4_45
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (228), (229) imply:
% 261.67/67.17 | (230) all_4_45 = n6
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (230) implies:
% 261.67/67.17 | (231) all_4_45 = n6
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (225), (231) imply:
% 261.67/67.17 | (232) all_4_40 = n6
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (80), (222), (232) imply:
% 261.67/67.17 | (233) sum(n6, n6) = all_4_90
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (87), (228), (231) imply:
% 261.67/67.17 | (234) sum(n6, n6) = all_4_91
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n1, all_4_90, n6, n6, simplifying with
% 261.67/67.17 | (89), (233) gives:
% 261.67/67.17 | (235) all_4_90 = n1
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_91, all_4_90, n6, n6, simplifying
% 261.67/67.17 | with (233), (234) gives:
% 261.67/67.17 | (236) all_4_90 = all_4_91
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (235), (236) imply:
% 261.67/67.17 | (237) all_4_91 = n1
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (237) implies:
% 261.67/67.17 | (238) all_4_91 = n1
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (99), (235) imply:
% 261.67/67.17 | (239) pred(n1) = all_4_36
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (53), (238) imply:
% 261.67/67.17 | (240) pred(n1) = all_4_39
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (38), (235) imply:
% 261.67/67.17 | (241) succ(n1) = all_4_38
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (8), (238) imply:
% 261.67/67.17 | (242) succ(n1) = all_4_35
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n2, all_4_35, n1, simplifying with (7),
% 261.67/67.17 | (242) gives:
% 261.67/67.17 | (243) all_4_35 = n2
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_38, all_4_35, n1, simplifying with
% 261.67/67.17 | (241), (242) gives:
% 261.67/67.17 | (244) all_4_35 = all_4_38
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n0, all_4_36, n1, simplifying with
% 261.67/67.17 | (100), (239) gives:
% 261.67/67.17 | (245) all_4_36 = n0
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_39, all_4_36, n1, simplifying with
% 261.67/67.17 | (239), (240) gives:
% 261.67/67.17 | (246) all_4_36 = all_4_39
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (243), (244) imply:
% 261.67/67.17 | (247) all_4_38 = n2
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (245), (246) imply:
% 261.67/67.17 | (248) all_4_39 = n0
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (74), (243), (245) imply:
% 261.67/67.17 | (249) sum(n0, n2) = all_4_34
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (104), (245), (247) imply:
% 261.67/67.17 | (250) sum(n0, n2) = all_4_32
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (84), (243), (248) imply:
% 261.67/67.17 | (251) sum(n0, n2) = all_4_33
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (88), (247), (248) imply:
% 261.67/67.17 | (252) sum(n0, n2) = all_4_37
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n2, all_4_33, n2, n0, simplifying with
% 261.67/67.17 | (45), (251) gives:
% 261.67/67.17 | (253) all_4_33 = n2
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_34, all_4_33, n2, n0, simplifying
% 261.67/67.17 | with (249), (251) gives:
% 261.67/67.17 | (254) all_4_33 = all_4_34
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_33, all_4_32, n2, n0, simplifying
% 261.67/67.17 | with (250), (251) gives:
% 261.67/67.17 | (255) all_4_32 = all_4_33
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_37, all_4_32, n2, n0, simplifying
% 261.67/67.17 | with (250), (252) gives:
% 261.67/67.17 | (256) all_4_32 = all_4_37
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (255), (256) imply:
% 261.67/67.17 | (257) all_4_33 = all_4_37
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (257) implies:
% 261.67/67.17 | (258) all_4_33 = all_4_37
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (253), (254) imply:
% 261.67/67.17 | (259) all_4_34 = n2
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (254), (258) imply:
% 261.67/67.17 | (260) all_4_34 = all_4_37
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (259), (260) imply:
% 261.67/67.17 | (261) all_4_37 = n2
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (256), (261) imply:
% 261.67/67.17 | (262) all_4_32 = n2
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (46), (253), (262) imply:
% 261.67/67.17 | (263) sum(n2, n2) = all_4_88
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (33), (259), (261) imply:
% 261.67/67.17 | (264) sum(n2, n2) = all_4_89
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n4, all_4_88, n2, n2, simplifying with
% 261.67/67.17 | (121), (263) gives:
% 261.67/67.17 | (265) all_4_88 = n4
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_89, all_4_88, n2, n2, simplifying
% 261.67/67.17 | with (263), (264) gives:
% 261.67/67.17 | (266) all_4_88 = all_4_89
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (265), (266) imply:
% 261.67/67.17 | (267) all_4_89 = n4
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (39), (265) imply:
% 261.67/67.17 | (268) pred(n4) = all_4_28
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (54), (267) imply:
% 261.67/67.17 | (269) pred(n4) = all_4_31
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (69), (265) imply:
% 261.67/67.17 | (270) succ(n4) = all_4_30
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (14), (267) imply:
% 261.67/67.17 | (271) succ(n4) = all_4_27
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n5, all_4_27, n4, simplifying with (94),
% 261.67/67.17 | (271) gives:
% 261.67/67.17 | (272) all_4_27 = n5
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_30, all_4_27, n4, simplifying with
% 261.67/67.17 | (270), (271) gives:
% 261.67/67.17 | (273) all_4_27 = all_4_30
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n3, all_4_28, n4, simplifying with (60),
% 261.67/67.17 | (268) gives:
% 261.67/67.17 | (274) all_4_28 = n3
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_31, all_4_28, n4, simplifying with
% 261.67/67.17 | (268), (269) gives:
% 261.67/67.17 | (275) all_4_28 = all_4_31
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (272), (273) imply:
% 261.67/67.17 | (276) all_4_30 = n5
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (274), (275) imply:
% 261.67/67.17 | (277) all_4_31 = n3
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (2), (272), (274) imply:
% 261.67/67.17 | (278) sum(n3, n5) = all_4_26
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (18), (274), (276) imply:
% 261.67/67.17 | (279) sum(n3, n5) = all_4_24
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (30), (272), (277) imply:
% 261.67/67.17 | (280) sum(n3, n5) = all_4_25
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (42), (276), (277) imply:
% 261.67/67.17 | (281) sum(n3, n5) = all_4_29
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n8, all_4_25, n5, n3, simplifying with
% 261.67/67.17 | (47), (280) gives:
% 261.67/67.17 | (282) all_4_25 = n8
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_26, all_4_25, n5, n3, simplifying
% 261.67/67.17 | with (278), (280) gives:
% 261.67/67.17 | (283) all_4_25 = all_4_26
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_25, all_4_24, n5, n3, simplifying
% 261.67/67.17 | with (279), (280) gives:
% 261.67/67.17 | (284) all_4_24 = all_4_25
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_29, all_4_24, n5, n3, simplifying
% 261.67/67.17 | with (279), (281) gives:
% 261.67/67.17 | (285) all_4_24 = all_4_29
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (284), (285) imply:
% 261.67/67.17 | (286) all_4_25 = all_4_29
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (286) implies:
% 261.67/67.17 | (287) all_4_25 = all_4_29
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (282), (283) imply:
% 261.67/67.17 | (288) all_4_26 = n8
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (283), (287) imply:
% 261.67/67.17 | (289) all_4_26 = all_4_29
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (288), (289) imply:
% 261.67/67.17 | (290) all_4_29 = n8
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (285), (290) imply:
% 261.67/67.17 | (291) all_4_24 = n8
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (6), (282), (291) imply:
% 261.67/67.17 | (292) sum(n8, n8) = all_4_86
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (52), (288), (290) imply:
% 261.67/67.17 | (293) sum(n8, n8) = all_4_87
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n5, all_4_86, n8, n8, simplifying with
% 261.67/67.17 | (34), (292) gives:
% 261.67/67.17 | (294) all_4_86 = n5
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_87, all_4_86, n8, n8, simplifying
% 261.67/67.17 | with (292), (293) gives:
% 261.67/67.17 | (295) all_4_86 = all_4_87
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (294), (295) imply:
% 261.67/67.17 | (296) all_4_87 = n5
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (296) implies:
% 261.67/67.17 | (297) all_4_87 = n5
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (37), (294) imply:
% 261.67/67.17 | (298) pred(n5) = all_4_20
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (86), (297) imply:
% 261.67/67.17 | (299) pred(n5) = all_4_23
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (35), (294) imply:
% 261.67/67.17 | (300) succ(n5) = all_4_22
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (5), (297) imply:
% 261.67/67.17 | (301) succ(n5) = all_4_19
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n6, all_4_19, n5, simplifying with (92),
% 261.67/67.17 | (301) gives:
% 261.67/67.17 | (302) all_4_19 = n6
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_22, all_4_19, n5, simplifying with
% 261.67/67.17 | (300), (301) gives:
% 261.67/67.17 | (303) all_4_19 = all_4_22
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n4, all_4_20, n5, simplifying with (51),
% 261.67/67.17 | (298) gives:
% 261.67/67.17 | (304) all_4_20 = n4
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_23, all_4_20, n5, simplifying with
% 261.67/67.17 | (298), (299) gives:
% 261.67/67.17 | (305) all_4_20 = all_4_23
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (302), (303) imply:
% 261.67/67.17 | (306) all_4_22 = n6
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (304), (305) imply:
% 261.67/67.17 | (307) all_4_23 = n4
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (19), (302), (304) imply:
% 261.67/67.17 | (308) sum(n4, n6) = all_4_18
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (70), (304), (306) imply:
% 261.67/67.17 | (309) sum(n4, n6) = all_4_16
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (13), (302), (307) imply:
% 261.67/67.17 | (310) sum(n4, n6) = all_4_17
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (27), (306), (307) imply:
% 261.67/67.17 | (311) sum(n4, n6) = all_4_21
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n10, all_4_17, n6, n4, simplifying with
% 261.67/67.17 | (9), (310) gives:
% 261.67/67.17 | (312) all_4_17 = n10
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_18, all_4_17, n6, n4, simplifying
% 261.67/67.17 | with (308), (310) gives:
% 261.67/67.17 | (313) all_4_17 = all_4_18
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_17, all_4_16, n6, n4, simplifying
% 261.67/67.17 | with (309), (310) gives:
% 261.67/67.17 | (314) all_4_16 = all_4_17
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_21, all_4_16, n6, n4, simplifying
% 261.67/67.17 | with (309), (311) gives:
% 261.67/67.17 | (315) all_4_16 = all_4_21
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (314), (315) imply:
% 261.67/67.17 | (316) all_4_17 = all_4_21
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (316) implies:
% 261.67/67.17 | (317) all_4_17 = all_4_21
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (312), (313) imply:
% 261.67/67.17 | (318) all_4_18 = n10
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (313), (317) imply:
% 261.67/67.17 | (319) all_4_18 = all_4_21
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (318), (319) imply:
% 261.67/67.17 | (320) all_4_21 = n10
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (315), (320) imply:
% 261.67/67.17 | (321) all_4_16 = n10
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (95), (312), (321) imply:
% 261.67/67.17 | (322) sum(n10, n10) = all_4_84
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (10), (318), (320) imply:
% 261.67/67.17 | (323) sum(n10, n10) = all_4_85
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n9, all_4_84, n10, n10, simplifying with
% 261.67/67.17 | (48), (322) gives:
% 261.67/67.17 | (324) all_4_84 = n9
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_85, all_4_84, n10, n10, simplifying
% 261.67/67.17 | with (322), (323) gives:
% 261.67/67.17 | (325) all_4_84 = all_4_85
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (324), (325) imply:
% 261.67/67.17 | (326) all_4_85 = n9
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (326) implies:
% 261.67/67.17 | (327) all_4_85 = n9
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (105), (324) imply:
% 261.67/67.17 | (328) pred(n9) = all_4_12
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (40), (327) imply:
% 261.67/67.17 | (329) pred(n9) = all_4_15
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (3), (324) imply:
% 261.67/67.17 | (330) succ(n9) = all_4_14
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (109), (327) imply:
% 261.67/67.17 | (331) succ(n9) = all_4_11
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n10, all_4_11, n9, simplifying with (20),
% 261.67/67.17 | (331) gives:
% 261.67/67.17 | (332) all_4_11 = n10
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_14, all_4_11, n9, simplifying with
% 261.67/67.17 | (330), (331) gives:
% 261.67/67.17 | (333) all_4_11 = all_4_14
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n8, all_4_12, n9, simplifying with (64),
% 261.67/67.17 | (328) gives:
% 261.67/67.17 | (334) all_4_12 = n8
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_15, all_4_12, n9, simplifying with
% 261.67/67.17 | (328), (329) gives:
% 261.67/67.17 | (335) all_4_12 = all_4_15
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (332), (333) imply:
% 261.67/67.17 | (336) all_4_14 = n10
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (334), (335) imply:
% 261.67/67.17 | (337) all_4_15 = n8
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (71), (332), (334) imply:
% 261.67/67.17 | (338) sum(n8, n10) = all_4_10
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (50), (334), (336) imply:
% 261.67/67.17 | (339) sum(n8, n10) = all_4_8
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (75), (332), (337) imply:
% 261.67/67.17 | (340) sum(n8, n10) = all_4_9
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (41), (336), (337) imply:
% 261.67/67.17 | (341) sum(n8, n10) = all_4_13
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n7, all_4_9, n10, n8, simplifying with
% 261.67/67.17 | (43), (340) gives:
% 261.67/67.17 | (342) all_4_9 = n7
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_10, all_4_9, n10, n8, simplifying
% 261.67/67.17 | with (338), (340) gives:
% 261.67/67.17 | (343) all_4_9 = all_4_10
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_9, all_4_8, n10, n8, simplifying
% 261.67/67.17 | with (339), (340) gives:
% 261.67/67.17 | (344) all_4_8 = all_4_9
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_13, all_4_8, n10, n8, simplifying
% 261.67/67.17 | with (339), (341) gives:
% 261.67/67.17 | (345) all_4_8 = all_4_13
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (344), (345) imply:
% 261.67/67.17 | (346) all_4_9 = all_4_13
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (346) implies:
% 261.67/67.17 | (347) all_4_9 = all_4_13
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (342), (343) imply:
% 261.67/67.17 | (348) all_4_10 = n7
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (343), (347) imply:
% 261.67/67.17 | (349) all_4_10 = all_4_13
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (348), (349) imply:
% 261.67/67.17 | (350) all_4_13 = n7
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (345), (350) imply:
% 261.67/67.17 | (351) all_4_8 = n7
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (21), (342), (351) imply:
% 261.67/67.17 | (352) sum(n7, n7) = all_4_82
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (96), (348), (350) imply:
% 261.67/67.17 | (353) sum(n7, n7) = all_4_83
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n3, all_4_82, n7, n7, simplifying with
% 261.67/67.17 | (107), (352) gives:
% 261.67/67.17 | (354) all_4_82 = n3
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_83, all_4_82, n7, n7, simplifying
% 261.67/67.17 | with (352), (353) gives:
% 261.67/67.17 | (355) all_4_82 = all_4_83
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (354), (355) imply:
% 261.67/67.17 | (356) all_4_83 = n3
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (356) implies:
% 261.67/67.17 | (357) all_4_83 = n3
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (83), (354) imply:
% 261.67/67.17 | (358) pred(n3) = all_4_4
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (58), (357) imply:
% 261.67/67.17 | (359) pred(n3) = all_4_7
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (59), (354) imply:
% 261.67/67.17 | (360) succ(n3) = all_4_6
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (12), (357) imply:
% 261.67/67.17 | (361) succ(n3) = all_4_3
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with n4, all_4_3, n3, simplifying with (65),
% 261.67/67.17 | (361) gives:
% 261.67/67.17 | (362) all_4_3 = n4
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (61) with all_4_6, all_4_3, n3, simplifying with
% 261.67/67.17 | (360), (361) gives:
% 261.67/67.17 | (363) all_4_3 = all_4_6
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with n2, all_4_4, n3, simplifying with (68),
% 261.67/67.17 | (358) gives:
% 261.67/67.17 | (364) all_4_4 = n2
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (111) with all_4_7, all_4_4, n3, simplifying with
% 261.67/67.17 | (358), (359) gives:
% 261.67/67.17 | (365) all_4_4 = all_4_7
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (362), (363) imply:
% 261.67/67.17 | (366) all_4_6 = n4
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (364), (365) imply:
% 261.67/67.17 | (367) all_4_7 = n2
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (23), (362), (364) imply:
% 261.67/67.17 | (368) sum(n2, n4) = all_4_2
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (56), (364), (366) imply:
% 261.67/67.17 | (369) sum(n2, n4) = all_4_0
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (17), (362), (367) imply:
% 261.67/67.17 | (370) sum(n2, n4) = all_4_1
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (101), (366), (367) imply:
% 261.67/67.17 | (371) sum(n2, n4) = all_4_5
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n6, all_4_1, n4, n2, simplifying with
% 261.67/67.17 | (28), (370) gives:
% 261.67/67.17 | (372) all_4_1 = n6
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_2, all_4_1, n4, n2, simplifying
% 261.67/67.17 | with (368), (370) gives:
% 261.67/67.17 | (373) all_4_1 = all_4_2
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_1, all_4_0, n4, n2, simplifying
% 261.67/67.17 | with (369), (370) gives:
% 261.67/67.17 | (374) all_4_0 = all_4_1
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_5, all_4_0, n4, n2, simplifying
% 261.67/67.17 | with (369), (371) gives:
% 261.67/67.17 | (375) all_4_0 = all_4_5
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (374), (375) imply:
% 261.67/67.17 | (376) all_4_1 = all_4_5
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (376) implies:
% 261.67/67.17 | (377) all_4_1 = all_4_5
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (372), (373) imply:
% 261.67/67.17 | (378) all_4_2 = n6
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (373), (377) imply:
% 261.67/67.17 | (379) all_4_2 = all_4_5
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (378), (379) imply:
% 261.67/67.17 | (380) all_4_5 = n6
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (375), (380) imply:
% 261.67/67.17 | (381) all_4_0 = n6
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (73), (372), (381) imply:
% 261.67/67.17 | (382) sum(n6, n6) = all_4_80
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (97), (378), (380) imply:
% 261.67/67.17 | (383) sum(n6, n6) = all_4_81
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with n1, all_4_80, n6, n6, simplifying with
% 261.67/67.17 | (89), (382) gives:
% 261.67/67.17 | (384) all_4_80 = n1
% 261.67/67.17 |
% 261.67/67.17 | GROUND_INST: instantiating (85) with all_4_81, all_4_80, n6, n6, simplifying
% 261.67/67.17 | with (382), (383) gives:
% 261.67/67.17 | (385) all_4_80 = all_4_81
% 261.67/67.17 |
% 261.67/67.17 | COMBINE_EQS: (384), (385) imply:
% 261.67/67.17 | (386) all_4_81 = n1
% 261.67/67.17 |
% 261.67/67.17 | SIMP: (386) implies:
% 261.67/67.17 | (387) all_4_81 = n1
% 261.67/67.17 |
% 261.67/67.17 | REDUCE: (1), (384), (387) imply:
% 261.67/67.17 | (388) $false
% 261.67/67.17 |
% 261.67/67.17 | CLOSE: (388) is inconsistent.
% 261.67/67.17 |
% 261.67/67.17 End of proof
% 261.67/67.17
% 261.67/67.17 Sub-proof #205 shows that the following formulas are inconsistent:
% 261.67/67.17 ----------------------------------------------------------------
% 261.67/67.17 (1) ~ (all_4_80 = all_4_81)
% 261.67/67.17 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.67/67.17 (3) succ(all_4_84) = all_4_14
% 261.67/67.17 (4) succ(all_4_95) = all_4_51
% 261.67/67.17 (5) succ(all_4_87) = all_4_19
% 261.67/67.17 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.67/67.17 (7) succ(all_4_91) = all_4_35
% 261.67/67.17 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.67/67.17 (9) succ(all_4_92) = all_4_46
% 261.67/67.17 (10) succ(all_4_83) = all_4_3
% 261.67/67.17 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.67/67.17 (12) succ(all_4_89) = all_4_27
% 261.67/67.17 (13) pred(all_4_95) = all_4_55
% 261.67/67.17 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.67/67.17 (15) sum(all_4_7, all_4_3) = all_4_1
% 261.67/67.17 (16) sum(all_4_28, all_4_30) = all_4_24
% 261.67/67.17 (17) sum(all_4_20, all_4_19) = all_4_18
% 261.67/67.17 (18) sum(n9, n0) = n9
% 261.67/67.17 (19) sum(all_4_9, all_4_8) = all_4_82
% 261.67/67.17 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.67/67.17 (21) sum(all_4_4, all_4_3) = all_4_2
% 261.67/67.17 (22) sum(all_4_60, all_4_62) = all_4_56
% 261.67/67.17 (23) sum(all_4_71, all_4_70) = all_4_69
% 261.67/67.17 (24) sum(all_4_55, all_4_54) = all_4_53
% 261.67/67.17 (25) sum(all_4_23, all_4_22) = all_4_21
% 261.67/67.17 (26) sum(all_4_63, all_4_59) = all_4_57
% 261.67/67.17 (27) sum(all_4_31, all_4_27) = all_4_25
% 261.67/67.17 (28) sum(all_4_63, all_4_62) = all_4_61
% 261.67/67.17 (29) succ(all_4_94) = all_4_54
% 261.67/67.17 (30) sum(all_4_37, all_4_34) = all_4_89
% 261.67/67.17 (31) succ(all_4_86) = all_4_22
% 261.67/67.17 (32) pred(n8) = n7
% 261.67/67.17 (33) pred(all_4_99) = all_4_71
% 261.67/67.17 (34) pred(all_4_86) = all_4_20
% 261.67/67.17 (35) succ(all_4_90) = all_4_38
% 261.67/67.17 (36) sum(n6, n8) = n3
% 261.67/67.17 (37) pred(all_4_88) = all_4_28
% 261.67/67.17 (38) all_4_98 = n6
% 261.67/67.17 (39) pred(all_4_85) = all_4_15
% 261.67/67.17 (40) sum(all_4_15, all_4_14) = all_4_13
% 261.67/67.17 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.67/67.17 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.67/67.17 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.67/67.17 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.67/67.17 (45) sum(all_4_12, all_4_14) = all_4_8
% 261.67/67.17 (46) sum(all_4_29, all_4_26) = all_4_87
% 261.67/67.18 (47) pred(all_4_91) = all_4_39
% 261.67/67.18 (48) pred(all_4_89) = all_4_31
% 261.67/67.18 (49) pred(all_4_92) = all_4_44
% 261.67/67.18 (50) sum(all_4_4, all_4_6) = all_4_0
% 261.67/67.18 (51) sum(n5, n7) = n1
% 261.67/67.18 (52) sum(all_4_65, all_4_64) = all_4_96
% 261.67/67.18 (53) succ(n10) = n0
% 261.67/67.18 (54) pred(all_4_83) = all_4_7
% 261.67/67.18 (55) succ(all_4_82) = all_4_6
% 261.67/67.18 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.67/67.18 | ~ (succ(v2) = v0))
% 261.67/67.18 (57) pred(all_4_97) = all_4_63
% 261.67/67.18 (58) succ(all_4_99) = all_4_67
% 261.67/67.18 (59) pred(n6) = n5
% 261.67/67.18 (60) pred(all_4_96) = all_4_60
% 261.67/67.18 (61) succ(all_4_96) = all_4_62
% 261.67/67.18 (62) succ(all_4_88) = all_4_30
% 261.67/67.18 (63) sum(all_4_20, all_4_22) = all_4_16
% 261.67/67.18 (64) sum(all_4_12, all_4_11) = all_4_10
% 261.67/67.18 (65) sum(all_4_55, all_4_51) = all_4_49
% 261.67/67.18 (66) pred(n7) = n6
% 261.67/67.18 (67) sum(all_4_1, all_4_0) = all_4_80
% 261.67/67.18 (68) sum(all_4_36, all_4_35) = all_4_34
% 261.67/67.18 (69) succ(n7) = n8
% 261.67/67.18 (70) sum(all_4_15, all_4_11) = all_4_9
% 261.67/67.18 (71) sum(all_4_47, all_4_46) = all_4_45
% 261.67/67.18 (72) pred(all_4_93) = all_4_47
% 261.67/67.18 (73) sum(all_4_71, all_4_67) = all_4_65
% 261.67/67.18 (74) sum(all_4_60, all_4_59) = all_4_58
% 261.67/67.18 (75) sum(n5, n5) = n10
% 261.67/67.18 (76) sum(all_4_41, all_4_40) = all_4_90
% 261.67/67.18 (77) succ(n2) = n3
% 261.67/67.18 (78) sum(all_4_68, all_4_67) = all_4_66
% 261.67/67.18 (79) succ(n6) = n7
% 261.67/67.18 (80) succ(n8) = n9
% 261.67/67.18 (81) pred(all_4_82) = all_4_4
% 261.67/67.18 (82) sum(all_4_39, all_4_35) = all_4_33
% 261.67/67.18 (83) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.67/67.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.67/67.18 (84) pred(all_4_87) = all_4_23
% 261.67/67.18 (85) sum(all_4_45, all_4_42) = all_4_91
% 261.67/67.18 (86) sum(n9, n9) = n7
% 261.67/67.18 (87) sum(all_4_39, all_4_38) = all_4_37
% 261.67/67.18 (88) sum(all_4_44, all_4_43) = all_4_42
% 261.67/67.18 (89) pred(n10) = n9
% 261.67/67.18 (90) sum(all_4_69, all_4_66) = all_4_97
% 261.67/67.18 (91) sum(n7, n9) = n5
% 261.67/67.18 (92) sum(all_4_17, all_4_16) = all_4_84
% 261.67/67.18 (93) sum(all_4_13, all_4_10) = all_4_83
% 261.67/67.18 (94) sum(all_4_5, all_4_2) = all_4_81
% 261.67/67.18 (95) pred(n2) = n1
% 261.67/67.18 (96) sum(n3, n3) = all_4_99
% 261.67/67.18 (97) succ(all_4_98) = all_4_70
% 261.67/67.18 (98) pred(all_4_90) = all_4_36
% 261.67/67.18 (99) sum(n4, n4) = n8
% 261.67/67.18 (100) sum(all_4_7, all_4_6) = all_4_5
% 261.67/67.18 (101) sum(all_4_68, all_4_70) = all_4_64
% 261.67/67.18 (102) succ(all_4_97) = all_4_59
% 261.67/67.18 (103) sum(all_4_36, all_4_38) = all_4_32
% 261.67/67.18 (104) pred(all_4_84) = all_4_12
% 261.67/67.18 (105) sum(all_4_61, all_4_58) = all_4_95
% 261.67/67.18 (106) succ(all_4_85) = all_4_11
% 261.67/67.18 (107) sum(all_4_49, all_4_48) = all_4_92
% 261.67/67.18 (108) all_4_99 = n6
% 261.67/67.18 (109) sum(n1, n3) = n4
% 261.67/67.18 (110) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.67/67.18 | ~ (pred(v2) = v0))
% 261.67/67.18 (111) sum(n1, n1) = n2
% 261.67/67.18 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.67/67.18 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.67/67.18 (114) succ(all_4_93) = all_4_43
% 261.67/67.18 (115) pred(all_4_98) = all_4_68
% 261.67/67.18 (116) pred(all_4_94) = all_4_52
% 261.67/67.18
% 261.67/67.18 Begin of proof
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (38), (115) imply:
% 261.67/67.18 | (117) pred(n6) = all_4_68
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (33), (108) imply:
% 261.67/67.18 | (118) pred(n6) = all_4_71
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (38), (97) imply:
% 261.67/67.18 | (119) succ(n6) = all_4_70
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (58), (108) imply:
% 261.67/67.18 | (120) succ(n6) = all_4_67
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (96), (108) imply:
% 261.67/67.18 | (121) sum(n3, n3) = n6
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n7, all_4_67, n6, simplifying with (79),
% 261.67/67.18 | (120) gives:
% 261.67/67.18 | (122) all_4_67 = n7
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_70, all_4_67, n6, simplifying with
% 261.67/67.18 | (119), (120) gives:
% 261.67/67.18 | (123) all_4_67 = all_4_70
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n5, all_4_68, n6, simplifying with (59),
% 261.67/67.18 | (117) gives:
% 261.67/67.18 | (124) all_4_68 = n5
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_71, all_4_68, n6, simplifying with
% 261.67/67.18 | (117), (118) gives:
% 261.67/67.18 | (125) all_4_68 = all_4_71
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (122), (123) imply:
% 261.67/67.18 | (126) all_4_70 = n7
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (124), (125) imply:
% 261.67/67.18 | (127) all_4_71 = n5
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (78), (122), (124) imply:
% 261.67/67.18 | (128) sum(n5, n7) = all_4_66
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (101), (124), (126) imply:
% 261.67/67.18 | (129) sum(n5, n7) = all_4_64
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (73), (122), (127) imply:
% 261.67/67.18 | (130) sum(n5, n7) = all_4_65
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (23), (126), (127) imply:
% 261.67/67.18 | (131) sum(n5, n7) = all_4_69
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n1, all_4_65, n7, n5, simplifying with
% 261.67/67.18 | (51), (130) gives:
% 261.67/67.18 | (132) all_4_65 = n1
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_66, all_4_65, n7, n5, simplifying
% 261.67/67.18 | with (128), (130) gives:
% 261.67/67.18 | (133) all_4_65 = all_4_66
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_66, all_4_64, n7, n5, simplifying
% 261.67/67.18 | with (128), (129) gives:
% 261.67/67.18 | (134) all_4_64 = all_4_66
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_69, all_4_64, n7, n5, simplifying
% 261.67/67.18 | with (129), (131) gives:
% 261.67/67.18 | (135) all_4_64 = all_4_69
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (134), (135) imply:
% 261.67/67.18 | (136) all_4_66 = all_4_69
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (136) implies:
% 261.67/67.18 | (137) all_4_66 = all_4_69
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (132), (133) imply:
% 261.67/67.18 | (138) all_4_66 = n1
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (138) implies:
% 261.67/67.18 | (139) all_4_66 = n1
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (137), (139) imply:
% 261.67/67.18 | (140) all_4_69 = n1
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (135), (140) imply:
% 261.67/67.18 | (141) all_4_64 = n1
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (52), (132), (141) imply:
% 261.67/67.18 | (142) sum(n1, n1) = all_4_96
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (90), (139), (140) imply:
% 261.67/67.18 | (143) sum(n1, n1) = all_4_97
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n2, all_4_96, n1, n1, simplifying with
% 261.67/67.18 | (111), (142) gives:
% 261.67/67.18 | (144) all_4_96 = n2
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_97, all_4_96, n1, n1, simplifying
% 261.67/67.18 | with (142), (143) gives:
% 261.67/67.18 | (145) all_4_96 = all_4_97
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (144), (145) imply:
% 261.67/67.18 | (146) all_4_97 = n2
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (146) implies:
% 261.67/67.18 | (147) all_4_97 = n2
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (60), (144) imply:
% 261.67/67.18 | (148) pred(n2) = all_4_60
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (57), (147) imply:
% 261.67/67.18 | (149) pred(n2) = all_4_63
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (61), (144) imply:
% 261.67/67.18 | (150) succ(n2) = all_4_62
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (102), (147) imply:
% 261.67/67.18 | (151) succ(n2) = all_4_59
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n3, all_4_59, n2, simplifying with (77),
% 261.67/67.18 | (151) gives:
% 261.67/67.18 | (152) all_4_59 = n3
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_62, all_4_59, n2, simplifying with
% 261.67/67.18 | (150), (151) gives:
% 261.67/67.18 | (153) all_4_59 = all_4_62
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n1, all_4_60, n2, simplifying with (95),
% 261.67/67.18 | (148) gives:
% 261.67/67.18 | (154) all_4_60 = n1
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_63, all_4_60, n2, simplifying with
% 261.67/67.18 | (148), (149) gives:
% 261.67/67.18 | (155) all_4_60 = all_4_63
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (152), (153) imply:
% 261.67/67.18 | (156) all_4_62 = n3
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (154), (155) imply:
% 261.67/67.18 | (157) all_4_63 = n1
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (74), (152), (154) imply:
% 261.67/67.18 | (158) sum(n1, n3) = all_4_58
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (22), (154), (156) imply:
% 261.67/67.18 | (159) sum(n1, n3) = all_4_56
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (26), (152), (157) imply:
% 261.67/67.18 | (160) sum(n1, n3) = all_4_57
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (28), (156), (157) imply:
% 261.67/67.18 | (161) sum(n1, n3) = all_4_61
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n4, all_4_57, n3, n1, simplifying with
% 261.67/67.18 | (109), (160) gives:
% 261.67/67.18 | (162) all_4_57 = n4
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_58, all_4_57, n3, n1, simplifying
% 261.67/67.18 | with (158), (160) gives:
% 261.67/67.18 | (163) all_4_57 = all_4_58
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_57, all_4_56, n3, n1, simplifying
% 261.67/67.18 | with (159), (160) gives:
% 261.67/67.18 | (164) all_4_56 = all_4_57
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_61, all_4_56, n3, n1, simplifying
% 261.67/67.18 | with (159), (161) gives:
% 261.67/67.18 | (165) all_4_56 = all_4_61
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (164), (165) imply:
% 261.67/67.18 | (166) all_4_57 = all_4_61
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (166) implies:
% 261.67/67.18 | (167) all_4_57 = all_4_61
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (162), (163) imply:
% 261.67/67.18 | (168) all_4_58 = n4
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (163), (167) imply:
% 261.67/67.18 | (169) all_4_58 = all_4_61
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (168), (169) imply:
% 261.67/67.18 | (170) all_4_61 = n4
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (165), (170) imply:
% 261.67/67.18 | (171) all_4_56 = n4
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (42), (162), (171) imply:
% 261.67/67.18 | (172) sum(n4, n4) = all_4_94
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (105), (168), (170) imply:
% 261.67/67.18 | (173) sum(n4, n4) = all_4_95
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n8, all_4_94, n4, n4, simplifying with
% 261.67/67.18 | (99), (172) gives:
% 261.67/67.18 | (174) all_4_94 = n8
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_95, all_4_94, n4, n4, simplifying
% 261.67/67.18 | with (172), (173) gives:
% 261.67/67.18 | (175) all_4_94 = all_4_95
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (174), (175) imply:
% 261.67/67.18 | (176) all_4_95 = n8
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (116), (174) imply:
% 261.67/67.18 | (177) pred(n8) = all_4_52
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (13), (176) imply:
% 261.67/67.18 | (178) pred(n8) = all_4_55
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (29), (174) imply:
% 261.67/67.18 | (179) succ(n8) = all_4_54
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (4), (176) imply:
% 261.67/67.18 | (180) succ(n8) = all_4_51
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n9, all_4_51, n8, simplifying with (80),
% 261.67/67.18 | (180) gives:
% 261.67/67.18 | (181) all_4_51 = n9
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_54, all_4_51, n8, simplifying with
% 261.67/67.18 | (179), (180) gives:
% 261.67/67.18 | (182) all_4_51 = all_4_54
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n7, all_4_52, n8, simplifying with (32),
% 261.67/67.18 | (177) gives:
% 261.67/67.18 | (183) all_4_52 = n7
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_55, all_4_52, n8, simplifying with
% 261.67/67.18 | (177), (178) gives:
% 261.67/67.18 | (184) all_4_52 = all_4_55
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (181), (182) imply:
% 261.67/67.18 | (185) all_4_54 = n9
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (183), (184) imply:
% 261.67/67.18 | (186) all_4_55 = n7
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (186) implies:
% 261.67/67.18 | (187) all_4_55 = n7
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (112), (181), (183) imply:
% 261.67/67.18 | (188) sum(n7, n9) = all_4_50
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (20), (183), (185) imply:
% 261.67/67.18 | (189) sum(n7, n9) = all_4_48
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (65), (181), (187) imply:
% 261.67/67.18 | (190) sum(n7, n9) = all_4_49
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (24), (185), (187) imply:
% 261.67/67.18 | (191) sum(n7, n9) = all_4_53
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n5, all_4_49, n9, n7, simplifying with
% 261.67/67.18 | (91), (190) gives:
% 261.67/67.18 | (192) all_4_49 = n5
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_50, all_4_49, n9, n7, simplifying
% 261.67/67.18 | with (188), (190) gives:
% 261.67/67.18 | (193) all_4_49 = all_4_50
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_49, all_4_48, n9, n7, simplifying
% 261.67/67.18 | with (189), (190) gives:
% 261.67/67.18 | (194) all_4_48 = all_4_49
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_53, all_4_48, n9, n7, simplifying
% 261.67/67.18 | with (189), (191) gives:
% 261.67/67.18 | (195) all_4_48 = all_4_53
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (194), (195) imply:
% 261.67/67.18 | (196) all_4_49 = all_4_53
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (196) implies:
% 261.67/67.18 | (197) all_4_49 = all_4_53
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (192), (193) imply:
% 261.67/67.18 | (198) all_4_50 = n5
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (193), (197) imply:
% 261.67/67.18 | (199) all_4_50 = all_4_53
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (198), (199) imply:
% 261.67/67.18 | (200) all_4_53 = n5
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (195), (200) imply:
% 261.67/67.18 | (201) all_4_48 = n5
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (107), (192), (201) imply:
% 261.67/67.18 | (202) sum(n5, n5) = all_4_92
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (113), (198), (200) imply:
% 261.67/67.18 | (203) sum(n5, n5) = all_4_93
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n10, all_4_92, n5, n5, simplifying with
% 261.67/67.18 | (75), (202) gives:
% 261.67/67.18 | (204) all_4_92 = n10
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_93, all_4_92, n5, n5, simplifying
% 261.67/67.18 | with (202), (203) gives:
% 261.67/67.18 | (205) all_4_92 = all_4_93
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (204), (205) imply:
% 261.67/67.18 | (206) all_4_93 = n10
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (206) implies:
% 261.67/67.18 | (207) all_4_93 = n10
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (49), (204) imply:
% 261.67/67.18 | (208) pred(n10) = all_4_44
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (72), (207) imply:
% 261.67/67.18 | (209) pred(n10) = all_4_47
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (9), (204) imply:
% 261.67/67.18 | (210) succ(n10) = all_4_46
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (114), (207) imply:
% 261.67/67.18 | (211) succ(n10) = all_4_43
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n0, all_4_43, n10, simplifying with (53),
% 261.67/67.18 | (211) gives:
% 261.67/67.18 | (212) all_4_43 = n0
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_46, all_4_43, n10, simplifying with
% 261.67/67.18 | (210), (211) gives:
% 261.67/67.18 | (213) all_4_43 = all_4_46
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n9, all_4_44, n10, simplifying with
% 261.67/67.18 | (89), (208) gives:
% 261.67/67.18 | (214) all_4_44 = n9
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_47, all_4_44, n10, simplifying
% 261.67/67.18 | with (208), (209) gives:
% 261.67/67.18 | (215) all_4_44 = all_4_47
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (212), (213) imply:
% 261.67/67.18 | (216) all_4_46 = n0
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (214), (215) imply:
% 261.67/67.18 | (217) all_4_47 = n9
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (88), (212), (214) imply:
% 261.67/67.18 | (218) sum(n9, n0) = all_4_42
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (14), (214), (216) imply:
% 261.67/67.18 | (219) sum(n9, n0) = all_4_40
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (44), (212), (217) imply:
% 261.67/67.18 | (220) sum(n9, n0) = all_4_41
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (71), (216), (217) imply:
% 261.67/67.18 | (221) sum(n9, n0) = all_4_45
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n9, all_4_41, n0, n9, simplifying with
% 261.67/67.18 | (18), (220) gives:
% 261.67/67.18 | (222) all_4_41 = n9
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_42, all_4_41, n0, n9, simplifying
% 261.67/67.18 | with (218), (220) gives:
% 261.67/67.18 | (223) all_4_41 = all_4_42
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_41, all_4_40, n0, n9, simplifying
% 261.67/67.18 | with (219), (220) gives:
% 261.67/67.18 | (224) all_4_40 = all_4_41
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_45, all_4_40, n0, n9, simplifying
% 261.67/67.18 | with (219), (221) gives:
% 261.67/67.18 | (225) all_4_40 = all_4_45
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (224), (225) imply:
% 261.67/67.18 | (226) all_4_41 = all_4_45
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (226) implies:
% 261.67/67.18 | (227) all_4_41 = all_4_45
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (222), (223) imply:
% 261.67/67.18 | (228) all_4_42 = n9
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (223), (227) imply:
% 261.67/67.18 | (229) all_4_42 = all_4_45
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (228), (229) imply:
% 261.67/67.18 | (230) all_4_45 = n9
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (230) implies:
% 261.67/67.18 | (231) all_4_45 = n9
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (225), (231) imply:
% 261.67/67.18 | (232) all_4_40 = n9
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (76), (222), (232) imply:
% 261.67/67.18 | (233) sum(n9, n9) = all_4_90
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (85), (228), (231) imply:
% 261.67/67.18 | (234) sum(n9, n9) = all_4_91
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n7, all_4_90, n9, n9, simplifying with
% 261.67/67.18 | (86), (233) gives:
% 261.67/67.18 | (235) all_4_90 = n7
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_91, all_4_90, n9, n9, simplifying
% 261.67/67.18 | with (233), (234) gives:
% 261.67/67.18 | (236) all_4_90 = all_4_91
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (235), (236) imply:
% 261.67/67.18 | (237) all_4_91 = n7
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (237) implies:
% 261.67/67.18 | (238) all_4_91 = n7
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (98), (235) imply:
% 261.67/67.18 | (239) pred(n7) = all_4_36
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (47), (238) imply:
% 261.67/67.18 | (240) pred(n7) = all_4_39
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (35), (235) imply:
% 261.67/67.18 | (241) succ(n7) = all_4_38
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (7), (238) imply:
% 261.67/67.18 | (242) succ(n7) = all_4_35
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n8, all_4_35, n7, simplifying with (69),
% 261.67/67.18 | (242) gives:
% 261.67/67.18 | (243) all_4_35 = n8
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_38, all_4_35, n7, simplifying with
% 261.67/67.18 | (241), (242) gives:
% 261.67/67.18 | (244) all_4_35 = all_4_38
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n6, all_4_36, n7, simplifying with (66),
% 261.67/67.18 | (239) gives:
% 261.67/67.18 | (245) all_4_36 = n6
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_39, all_4_36, n7, simplifying with
% 261.67/67.18 | (239), (240) gives:
% 261.67/67.18 | (246) all_4_36 = all_4_39
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (243), (244) imply:
% 261.67/67.18 | (247) all_4_38 = n8
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (245), (246) imply:
% 261.67/67.18 | (248) all_4_39 = n6
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (68), (243), (245) imply:
% 261.67/67.18 | (249) sum(n6, n8) = all_4_34
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (103), (245), (247) imply:
% 261.67/67.18 | (250) sum(n6, n8) = all_4_32
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (82), (243), (248) imply:
% 261.67/67.18 | (251) sum(n6, n8) = all_4_33
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (87), (247), (248) imply:
% 261.67/67.18 | (252) sum(n6, n8) = all_4_37
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n3, all_4_33, n8, n6, simplifying with
% 261.67/67.18 | (36), (251) gives:
% 261.67/67.18 | (253) all_4_33 = n3
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_34, all_4_33, n8, n6, simplifying
% 261.67/67.18 | with (249), (251) gives:
% 261.67/67.18 | (254) all_4_33 = all_4_34
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_33, all_4_32, n8, n6, simplifying
% 261.67/67.18 | with (250), (251) gives:
% 261.67/67.18 | (255) all_4_32 = all_4_33
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_37, all_4_32, n8, n6, simplifying
% 261.67/67.18 | with (250), (252) gives:
% 261.67/67.18 | (256) all_4_32 = all_4_37
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (255), (256) imply:
% 261.67/67.18 | (257) all_4_33 = all_4_37
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (257) implies:
% 261.67/67.18 | (258) all_4_33 = all_4_37
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (253), (254) imply:
% 261.67/67.18 | (259) all_4_34 = n3
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (254), (258) imply:
% 261.67/67.18 | (260) all_4_34 = all_4_37
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (259), (260) imply:
% 261.67/67.18 | (261) all_4_37 = n3
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (256), (261) imply:
% 261.67/67.18 | (262) all_4_32 = n3
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (43), (253), (262) imply:
% 261.67/67.18 | (263) sum(n3, n3) = all_4_88
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (30), (259), (261) imply:
% 261.67/67.18 | (264) sum(n3, n3) = all_4_89
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n6, all_4_88, n3, n3, simplifying with
% 261.67/67.18 | (121), (263) gives:
% 261.67/67.18 | (265) all_4_88 = n6
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_89, all_4_88, n3, n3, simplifying
% 261.67/67.18 | with (263), (264) gives:
% 261.67/67.18 | (266) all_4_88 = all_4_89
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (265), (266) imply:
% 261.67/67.18 | (267) all_4_89 = n6
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (37), (265) imply:
% 261.67/67.18 | (268) pred(n6) = all_4_28
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (48), (267) imply:
% 261.67/67.18 | (269) pred(n6) = all_4_31
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (62), (265) imply:
% 261.67/67.18 | (270) succ(n6) = all_4_30
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (12), (267) imply:
% 261.67/67.18 | (271) succ(n6) = all_4_27
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n7, all_4_27, n6, simplifying with (79),
% 261.67/67.18 | (271) gives:
% 261.67/67.18 | (272) all_4_27 = n7
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_30, all_4_27, n6, simplifying with
% 261.67/67.18 | (270), (271) gives:
% 261.67/67.18 | (273) all_4_27 = all_4_30
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n5, all_4_28, n6, simplifying with (59),
% 261.67/67.18 | (268) gives:
% 261.67/67.18 | (274) all_4_28 = n5
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_31, all_4_28, n6, simplifying with
% 261.67/67.18 | (268), (269) gives:
% 261.67/67.18 | (275) all_4_28 = all_4_31
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (272), (273) imply:
% 261.67/67.18 | (276) all_4_30 = n7
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (274), (275) imply:
% 261.67/67.18 | (277) all_4_31 = n5
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (2), (272), (274) imply:
% 261.67/67.18 | (278) sum(n5, n7) = all_4_26
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (16), (274), (276) imply:
% 261.67/67.18 | (279) sum(n5, n7) = all_4_24
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (27), (272), (277) imply:
% 261.67/67.18 | (280) sum(n5, n7) = all_4_25
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (41), (276), (277) imply:
% 261.67/67.18 | (281) sum(n5, n7) = all_4_29
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n1, all_4_25, n7, n5, simplifying with
% 261.67/67.18 | (51), (280) gives:
% 261.67/67.18 | (282) all_4_25 = n1
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_26, all_4_25, n7, n5, simplifying
% 261.67/67.18 | with (278), (280) gives:
% 261.67/67.18 | (283) all_4_25 = all_4_26
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_25, all_4_24, n7, n5, simplifying
% 261.67/67.18 | with (279), (280) gives:
% 261.67/67.18 | (284) all_4_24 = all_4_25
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_29, all_4_24, n7, n5, simplifying
% 261.67/67.18 | with (279), (281) gives:
% 261.67/67.18 | (285) all_4_24 = all_4_29
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (284), (285) imply:
% 261.67/67.18 | (286) all_4_25 = all_4_29
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (286) implies:
% 261.67/67.18 | (287) all_4_25 = all_4_29
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (282), (283) imply:
% 261.67/67.18 | (288) all_4_26 = n1
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (283), (287) imply:
% 261.67/67.18 | (289) all_4_26 = all_4_29
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (288), (289) imply:
% 261.67/67.18 | (290) all_4_29 = n1
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (285), (290) imply:
% 261.67/67.18 | (291) all_4_24 = n1
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (6), (282), (291) imply:
% 261.67/67.18 | (292) sum(n1, n1) = all_4_86
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (46), (288), (290) imply:
% 261.67/67.18 | (293) sum(n1, n1) = all_4_87
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n2, all_4_86, n1, n1, simplifying with
% 261.67/67.18 | (111), (292) gives:
% 261.67/67.18 | (294) all_4_86 = n2
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_87, all_4_86, n1, n1, simplifying
% 261.67/67.18 | with (292), (293) gives:
% 261.67/67.18 | (295) all_4_86 = all_4_87
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (294), (295) imply:
% 261.67/67.18 | (296) all_4_87 = n2
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (296) implies:
% 261.67/67.18 | (297) all_4_87 = n2
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (34), (294) imply:
% 261.67/67.18 | (298) pred(n2) = all_4_20
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (84), (297) imply:
% 261.67/67.18 | (299) pred(n2) = all_4_23
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (31), (294) imply:
% 261.67/67.18 | (300) succ(n2) = all_4_22
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (5), (297) imply:
% 261.67/67.18 | (301) succ(n2) = all_4_19
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with n3, all_4_19, n2, simplifying with (77),
% 261.67/67.18 | (301) gives:
% 261.67/67.18 | (302) all_4_19 = n3
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (56) with all_4_22, all_4_19, n2, simplifying with
% 261.67/67.18 | (300), (301) gives:
% 261.67/67.18 | (303) all_4_19 = all_4_22
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with n1, all_4_20, n2, simplifying with (95),
% 261.67/67.18 | (298) gives:
% 261.67/67.18 | (304) all_4_20 = n1
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (110) with all_4_23, all_4_20, n2, simplifying with
% 261.67/67.18 | (298), (299) gives:
% 261.67/67.18 | (305) all_4_20 = all_4_23
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (302), (303) imply:
% 261.67/67.18 | (306) all_4_22 = n3
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (304), (305) imply:
% 261.67/67.18 | (307) all_4_23 = n1
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (17), (302), (304) imply:
% 261.67/67.18 | (308) sum(n1, n3) = all_4_18
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (63), (304), (306) imply:
% 261.67/67.18 | (309) sum(n1, n3) = all_4_16
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (11), (302), (307) imply:
% 261.67/67.18 | (310) sum(n1, n3) = all_4_17
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (25), (306), (307) imply:
% 261.67/67.18 | (311) sum(n1, n3) = all_4_21
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with n4, all_4_17, n3, n1, simplifying with
% 261.67/67.18 | (109), (310) gives:
% 261.67/67.18 | (312) all_4_17 = n4
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_18, all_4_17, n3, n1, simplifying
% 261.67/67.18 | with (308), (310) gives:
% 261.67/67.18 | (313) all_4_17 = all_4_18
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_17, all_4_16, n3, n1, simplifying
% 261.67/67.18 | with (309), (310) gives:
% 261.67/67.18 | (314) all_4_16 = all_4_17
% 261.67/67.18 |
% 261.67/67.18 | GROUND_INST: instantiating (83) with all_4_21, all_4_16, n3, n1, simplifying
% 261.67/67.18 | with (309), (311) gives:
% 261.67/67.18 | (315) all_4_16 = all_4_21
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (314), (315) imply:
% 261.67/67.18 | (316) all_4_17 = all_4_21
% 261.67/67.18 |
% 261.67/67.18 | SIMP: (316) implies:
% 261.67/67.18 | (317) all_4_17 = all_4_21
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (312), (313) imply:
% 261.67/67.18 | (318) all_4_18 = n4
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (313), (317) imply:
% 261.67/67.18 | (319) all_4_18 = all_4_21
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (318), (319) imply:
% 261.67/67.18 | (320) all_4_21 = n4
% 261.67/67.18 |
% 261.67/67.18 | COMBINE_EQS: (315), (320) imply:
% 261.67/67.18 | (321) all_4_16 = n4
% 261.67/67.18 |
% 261.67/67.18 | REDUCE: (92), (312), (321) imply:
% 261.67/67.18 | (322) sum(n4, n4) = all_4_84
% 261.67/67.18 |
% 261.67/67.19 | REDUCE: (8), (318), (320) imply:
% 261.67/67.19 | (323) sum(n4, n4) = all_4_85
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with n8, all_4_84, n4, n4, simplifying with
% 261.67/67.19 | (99), (322) gives:
% 261.67/67.19 | (324) all_4_84 = n8
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_85, all_4_84, n4, n4, simplifying
% 261.67/67.19 | with (322), (323) gives:
% 261.67/67.19 | (325) all_4_84 = all_4_85
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (324), (325) imply:
% 261.67/67.19 | (326) all_4_85 = n8
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (326) implies:
% 261.67/67.19 | (327) all_4_85 = n8
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (104), (324) imply:
% 261.67/67.19 | (328) pred(n8) = all_4_12
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (39), (327) imply:
% 261.67/67.19 | (329) pred(n8) = all_4_15
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (3), (324) imply:
% 261.67/67.19 | (330) succ(n8) = all_4_14
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (106), (327) imply:
% 261.67/67.19 | (331) succ(n8) = all_4_11
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with n9, all_4_11, n8, simplifying with (80),
% 261.67/67.19 | (331) gives:
% 261.67/67.19 | (332) all_4_11 = n9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with all_4_14, all_4_11, n8, simplifying with
% 261.67/67.19 | (330), (331) gives:
% 261.67/67.19 | (333) all_4_11 = all_4_14
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with n7, all_4_12, n8, simplifying with (32),
% 261.67/67.19 | (328) gives:
% 261.67/67.19 | (334) all_4_12 = n7
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with all_4_15, all_4_12, n8, simplifying with
% 261.67/67.19 | (328), (329) gives:
% 261.67/67.19 | (335) all_4_12 = all_4_15
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (332), (333) imply:
% 261.67/67.19 | (336) all_4_14 = n9
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (334), (335) imply:
% 261.67/67.19 | (337) all_4_15 = n7
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (64), (332), (334) imply:
% 261.67/67.19 | (338) sum(n7, n9) = all_4_10
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (45), (334), (336) imply:
% 261.67/67.19 | (339) sum(n7, n9) = all_4_8
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (70), (332), (337) imply:
% 261.67/67.19 | (340) sum(n7, n9) = all_4_9
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (40), (336), (337) imply:
% 261.67/67.19 | (341) sum(n7, n9) = all_4_13
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with n5, all_4_9, n9, n7, simplifying with
% 261.67/67.19 | (91), (340) gives:
% 261.67/67.19 | (342) all_4_9 = n5
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_10, all_4_9, n9, n7, simplifying
% 261.67/67.19 | with (338), (340) gives:
% 261.67/67.19 | (343) all_4_9 = all_4_10
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_9, all_4_8, n9, n7, simplifying
% 261.67/67.19 | with (339), (340) gives:
% 261.67/67.19 | (344) all_4_8 = all_4_9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_13, all_4_8, n9, n7, simplifying
% 261.67/67.19 | with (339), (341) gives:
% 261.67/67.19 | (345) all_4_8 = all_4_13
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (344), (345) imply:
% 261.67/67.19 | (346) all_4_9 = all_4_13
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (346) implies:
% 261.67/67.19 | (347) all_4_9 = all_4_13
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (342), (343) imply:
% 261.67/67.19 | (348) all_4_10 = n5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (343), (347) imply:
% 261.67/67.19 | (349) all_4_10 = all_4_13
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (348), (349) imply:
% 261.67/67.19 | (350) all_4_13 = n5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (345), (350) imply:
% 261.67/67.19 | (351) all_4_8 = n5
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (19), (342), (351) imply:
% 261.67/67.19 | (352) sum(n5, n5) = all_4_82
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (93), (348), (350) imply:
% 261.67/67.19 | (353) sum(n5, n5) = all_4_83
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with n10, all_4_82, n5, n5, simplifying with
% 261.67/67.19 | (75), (352) gives:
% 261.67/67.19 | (354) all_4_82 = n10
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_83, all_4_82, n5, n5, simplifying
% 261.67/67.19 | with (352), (353) gives:
% 261.67/67.19 | (355) all_4_82 = all_4_83
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (354), (355) imply:
% 261.67/67.19 | (356) all_4_83 = n10
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (356) implies:
% 261.67/67.19 | (357) all_4_83 = n10
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (81), (354) imply:
% 261.67/67.19 | (358) pred(n10) = all_4_4
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (54), (357) imply:
% 261.67/67.19 | (359) pred(n10) = all_4_7
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (55), (354) imply:
% 261.67/67.19 | (360) succ(n10) = all_4_6
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (10), (357) imply:
% 261.67/67.19 | (361) succ(n10) = all_4_3
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with n0, all_4_3, n10, simplifying with (53),
% 261.67/67.19 | (361) gives:
% 261.67/67.19 | (362) all_4_3 = n0
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with all_4_6, all_4_3, n10, simplifying with
% 261.67/67.19 | (360), (361) gives:
% 261.67/67.19 | (363) all_4_3 = all_4_6
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with n9, all_4_4, n10, simplifying with (89),
% 261.67/67.19 | (358) gives:
% 261.67/67.19 | (364) all_4_4 = n9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with all_4_7, all_4_4, n10, simplifying with
% 261.67/67.19 | (358), (359) gives:
% 261.67/67.19 | (365) all_4_4 = all_4_7
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (362), (363) imply:
% 261.67/67.19 | (366) all_4_6 = n0
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (364), (365) imply:
% 261.67/67.19 | (367) all_4_7 = n9
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (21), (362), (364) imply:
% 261.67/67.19 | (368) sum(n9, n0) = all_4_2
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (50), (364), (366) imply:
% 261.67/67.19 | (369) sum(n9, n0) = all_4_0
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (15), (362), (367) imply:
% 261.67/67.19 | (370) sum(n9, n0) = all_4_1
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (100), (366), (367) imply:
% 261.67/67.19 | (371) sum(n9, n0) = all_4_5
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with n9, all_4_1, n0, n9, simplifying with
% 261.67/67.19 | (18), (370) gives:
% 261.67/67.19 | (372) all_4_1 = n9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_2, all_4_1, n0, n9, simplifying
% 261.67/67.19 | with (368), (370) gives:
% 261.67/67.19 | (373) all_4_1 = all_4_2
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_1, all_4_0, n0, n9, simplifying
% 261.67/67.19 | with (369), (370) gives:
% 261.67/67.19 | (374) all_4_0 = all_4_1
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_5, all_4_0, n0, n9, simplifying
% 261.67/67.19 | with (369), (371) gives:
% 261.67/67.19 | (375) all_4_0 = all_4_5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (374), (375) imply:
% 261.67/67.19 | (376) all_4_1 = all_4_5
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (376) implies:
% 261.67/67.19 | (377) all_4_1 = all_4_5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (372), (373) imply:
% 261.67/67.19 | (378) all_4_2 = n9
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (373), (377) imply:
% 261.67/67.19 | (379) all_4_2 = all_4_5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (378), (379) imply:
% 261.67/67.19 | (380) all_4_5 = n9
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (375), (380) imply:
% 261.67/67.19 | (381) all_4_0 = n9
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (67), (372), (381) imply:
% 261.67/67.19 | (382) sum(n9, n9) = all_4_80
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (94), (378), (380) imply:
% 261.67/67.19 | (383) sum(n9, n9) = all_4_81
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with n7, all_4_80, n9, n9, simplifying with
% 261.67/67.19 | (86), (382) gives:
% 261.67/67.19 | (384) all_4_80 = n7
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (83) with all_4_81, all_4_80, n9, n9, simplifying
% 261.67/67.19 | with (382), (383) gives:
% 261.67/67.19 | (385) all_4_80 = all_4_81
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (384), (385) imply:
% 261.67/67.19 | (386) all_4_81 = n7
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (386) implies:
% 261.67/67.19 | (387) all_4_81 = n7
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (1), (384), (387) imply:
% 261.67/67.19 | (388) $false
% 261.67/67.19 |
% 261.67/67.19 | CLOSE: (388) is inconsistent.
% 261.67/67.19 |
% 261.67/67.19 End of proof
% 261.67/67.19
% 261.67/67.19 Sub-proof #206 shows that the following formulas are inconsistent:
% 261.67/67.19 ----------------------------------------------------------------
% 261.67/67.19 (1) ~ (all_4_80 = all_4_81)
% 261.67/67.19 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.67/67.19 (3) succ(all_4_84) = all_4_14
% 261.67/67.19 (4) succ(all_4_95) = all_4_51
% 261.67/67.19 (5) succ(all_4_87) = all_4_19
% 261.67/67.19 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.67/67.19 (7) succ(all_4_91) = all_4_35
% 261.67/67.19 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.67/67.19 (9) succ(all_4_92) = all_4_46
% 261.67/67.19 (10) succ(all_4_83) = all_4_3
% 261.67/67.19 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.67/67.19 (12) succ(all_4_89) = all_4_27
% 261.67/67.19 (13) pred(all_4_95) = all_4_55
% 261.67/67.19 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.67/67.19 (15) sum(all_4_7, all_4_3) = all_4_1
% 261.67/67.19 (16) sum(all_4_28, all_4_30) = all_4_24
% 261.67/67.19 (17) sum(all_4_20, all_4_19) = all_4_18
% 261.67/67.19 (18) sum(n9, n0) = n9
% 261.67/67.19 (19) sum(all_4_9, all_4_8) = all_4_82
% 261.67/67.19 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.67/67.19 (21) sum(n3, n3) = n6
% 261.67/67.19 (22) sum(all_4_4, all_4_3) = all_4_2
% 261.67/67.19 (23) sum(all_4_60, all_4_62) = all_4_56
% 261.67/67.19 (24) sum(all_4_71, all_4_70) = all_4_69
% 261.67/67.19 (25) sum(all_4_55, all_4_54) = all_4_53
% 261.67/67.19 (26) sum(all_4_23, all_4_22) = all_4_21
% 261.67/67.19 (27) sum(all_4_63, all_4_59) = all_4_57
% 261.67/67.19 (28) sum(all_4_31, all_4_27) = all_4_25
% 261.67/67.19 (29) sum(all_4_63, all_4_62) = all_4_61
% 261.67/67.19 (30) succ(all_4_94) = all_4_54
% 261.67/67.19 (31) sum(all_4_37, all_4_34) = all_4_89
% 261.67/67.19 (32) succ(all_4_86) = all_4_22
% 261.67/67.19 (33) pred(n8) = n7
% 261.67/67.19 (34) pred(all_4_99) = all_4_71
% 261.67/67.19 (35) pred(all_4_86) = all_4_20
% 261.67/67.19 (36) succ(all_4_90) = all_4_38
% 261.67/67.19 (37) sum(n6, n8) = n3
% 261.67/67.19 (38) pred(all_4_88) = all_4_28
% 261.67/67.19 (39) pred(all_4_85) = all_4_15
% 261.67/67.19 (40) sum(all_4_15, all_4_14) = all_4_13
% 261.67/67.19 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.67/67.19 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.67/67.19 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.67/67.19 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.67/67.19 (45) sum(all_4_12, all_4_14) = all_4_8
% 261.67/67.19 (46) sum(all_4_29, all_4_26) = all_4_87
% 261.67/67.19 (47) pred(all_4_91) = all_4_39
% 261.67/67.19 (48) pred(all_4_89) = all_4_31
% 261.67/67.19 (49) pred(all_4_92) = all_4_44
% 261.67/67.19 (50) sum(all_4_4, all_4_6) = all_4_0
% 261.67/67.19 (51) sum(n5, n7) = n1
% 261.67/67.19 (52) sum(all_4_65, all_4_64) = all_4_96
% 261.67/67.19 (53) succ(n10) = n0
% 261.67/67.19 (54) pred(all_4_83) = all_4_7
% 261.67/67.19 (55) succ(all_4_82) = all_4_6
% 261.67/67.19 (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.67/67.19 | ~ (succ(v2) = v0))
% 261.67/67.19 (57) pred(all_4_97) = all_4_63
% 261.67/67.19 (58) succ(all_4_99) = all_4_67
% 261.67/67.19 (59) pred(n6) = n5
% 261.67/67.19 (60) pred(all_4_96) = all_4_60
% 261.67/67.19 (61) succ(all_4_96) = all_4_62
% 261.67/67.19 (62) succ(all_4_88) = all_4_30
% 261.67/67.19 (63) sum(all_4_20, all_4_22) = all_4_16
% 261.67/67.19 (64) sum(all_4_12, all_4_11) = all_4_10
% 261.67/67.19 (65) sum(all_4_55, all_4_51) = all_4_49
% 261.67/67.19 (66) pred(n7) = n6
% 261.67/67.19 (67) sum(all_4_1, all_4_0) = all_4_80
% 261.67/67.19 (68) sum(all_4_36, all_4_35) = all_4_34
% 261.67/67.19 (69) succ(n7) = n8
% 261.67/67.19 (70) sum(all_4_15, all_4_11) = all_4_9
% 261.67/67.19 (71) sum(all_4_47, all_4_46) = all_4_45
% 261.67/67.19 (72) pred(all_4_93) = all_4_47
% 261.67/67.19 (73) sum(all_4_71, all_4_67) = all_4_65
% 261.67/67.19 (74) sum(all_4_60, all_4_59) = all_4_58
% 261.67/67.19 (75) sum(n5, n5) = n10
% 261.67/67.19 (76) all_4_99 = n8
% 261.67/67.19 (77) sum(all_4_41, all_4_40) = all_4_90
% 261.67/67.19 (78) succ(n2) = n3
% 261.67/67.19 (79) sum(all_4_68, all_4_67) = all_4_66
% 261.67/67.19 (80) succ(n6) = n7
% 261.67/67.19 (81) succ(n8) = n9
% 261.67/67.19 (82) pred(all_4_82) = all_4_4
% 261.67/67.19 (83) sum(all_4_39, all_4_35) = all_4_33
% 261.67/67.19 (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.67/67.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.67/67.19 (85) pred(all_4_87) = all_4_23
% 261.67/67.19 (86) sum(all_4_45, all_4_42) = all_4_91
% 261.67/67.19 (87) sum(n9, n9) = n7
% 261.67/67.19 (88) sum(all_4_39, all_4_38) = all_4_37
% 261.67/67.19 (89) sum(n4, n4) = all_4_99
% 261.67/67.19 (90) sum(all_4_44, all_4_43) = all_4_42
% 261.67/67.19 (91) pred(n10) = n9
% 261.67/67.19 (92) sum(all_4_69, all_4_66) = all_4_97
% 261.67/67.19 (93) sum(n7, n9) = n5
% 261.67/67.19 (94) sum(all_4_17, all_4_16) = all_4_84
% 261.67/67.19 (95) sum(all_4_13, all_4_10) = all_4_83
% 261.67/67.19 (96) sum(all_4_5, all_4_2) = all_4_81
% 261.67/67.19 (97) pred(n2) = n1
% 261.67/67.19 (98) succ(all_4_98) = all_4_70
% 261.67/67.19 (99) all_4_98 = n8
% 261.67/67.19 (100) pred(all_4_90) = all_4_36
% 261.67/67.19 (101) sum(all_4_7, all_4_6) = all_4_5
% 261.67/67.19 (102) sum(all_4_68, all_4_70) = all_4_64
% 261.67/67.19 (103) succ(all_4_97) = all_4_59
% 261.67/67.19 (104) sum(all_4_36, all_4_38) = all_4_32
% 261.67/67.19 (105) pred(all_4_84) = all_4_12
% 261.67/67.19 (106) sum(all_4_61, all_4_58) = all_4_95
% 261.67/67.19 (107) succ(all_4_85) = all_4_11
% 261.67/67.19 (108) sum(all_4_49, all_4_48) = all_4_92
% 261.67/67.19 (109) sum(n1, n3) = n4
% 261.67/67.19 (110) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.67/67.19 | ~ (pred(v2) = v0))
% 261.67/67.19 (111) sum(n1, n1) = n2
% 261.67/67.19 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.67/67.19 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.67/67.19 (114) succ(all_4_93) = all_4_43
% 261.67/67.19 (115) pred(all_4_98) = all_4_68
% 261.67/67.19 (116) pred(all_4_94) = all_4_52
% 261.67/67.19
% 261.67/67.19 Begin of proof
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (99), (115) imply:
% 261.67/67.19 | (117) pred(n8) = all_4_68
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (34), (76) imply:
% 261.67/67.19 | (118) pred(n8) = all_4_71
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (98), (99) imply:
% 261.67/67.19 | (119) succ(n8) = all_4_70
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (58), (76) imply:
% 261.67/67.19 | (120) succ(n8) = all_4_67
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (76), (89) imply:
% 261.67/67.19 | (121) sum(n4, n4) = n8
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with n9, all_4_67, n8, simplifying with (81),
% 261.67/67.19 | (120) gives:
% 261.67/67.19 | (122) all_4_67 = n9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with all_4_70, all_4_67, n8, simplifying with
% 261.67/67.19 | (119), (120) gives:
% 261.67/67.19 | (123) all_4_67 = all_4_70
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with n7, all_4_68, n8, simplifying with (33),
% 261.67/67.19 | (117) gives:
% 261.67/67.19 | (124) all_4_68 = n7
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with all_4_71, all_4_68, n8, simplifying with
% 261.67/67.19 | (117), (118) gives:
% 261.67/67.19 | (125) all_4_68 = all_4_71
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (122), (123) imply:
% 261.67/67.19 | (126) all_4_70 = n9
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (124), (125) imply:
% 261.67/67.19 | (127) all_4_71 = n7
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (79), (122), (124) imply:
% 261.67/67.19 | (128) sum(n7, n9) = all_4_66
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (102), (124), (126) imply:
% 261.67/67.19 | (129) sum(n7, n9) = all_4_64
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (73), (122), (127) imply:
% 261.67/67.19 | (130) sum(n7, n9) = all_4_65
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (24), (126), (127) imply:
% 261.67/67.19 | (131) sum(n7, n9) = all_4_69
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n5, all_4_65, n9, n7, simplifying with
% 261.67/67.19 | (93), (130) gives:
% 261.67/67.19 | (132) all_4_65 = n5
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_66, all_4_65, n9, n7, simplifying
% 261.67/67.19 | with (128), (130) gives:
% 261.67/67.19 | (133) all_4_65 = all_4_66
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_66, all_4_64, n9, n7, simplifying
% 261.67/67.19 | with (128), (129) gives:
% 261.67/67.19 | (134) all_4_64 = all_4_66
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_69, all_4_64, n9, n7, simplifying
% 261.67/67.19 | with (129), (131) gives:
% 261.67/67.19 | (135) all_4_64 = all_4_69
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (134), (135) imply:
% 261.67/67.19 | (136) all_4_66 = all_4_69
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (136) implies:
% 261.67/67.19 | (137) all_4_66 = all_4_69
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (132), (133) imply:
% 261.67/67.19 | (138) all_4_66 = n5
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (138) implies:
% 261.67/67.19 | (139) all_4_66 = n5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (137), (139) imply:
% 261.67/67.19 | (140) all_4_69 = n5
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (135), (140) imply:
% 261.67/67.19 | (141) all_4_64 = n5
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (52), (132), (141) imply:
% 261.67/67.19 | (142) sum(n5, n5) = all_4_96
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (92), (139), (140) imply:
% 261.67/67.19 | (143) sum(n5, n5) = all_4_97
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n10, all_4_96, n5, n5, simplifying with
% 261.67/67.19 | (75), (142) gives:
% 261.67/67.19 | (144) all_4_96 = n10
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_97, all_4_96, n5, n5, simplifying
% 261.67/67.19 | with (142), (143) gives:
% 261.67/67.19 | (145) all_4_96 = all_4_97
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (144), (145) imply:
% 261.67/67.19 | (146) all_4_97 = n10
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (146) implies:
% 261.67/67.19 | (147) all_4_97 = n10
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (60), (144) imply:
% 261.67/67.19 | (148) pred(n10) = all_4_60
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (57), (147) imply:
% 261.67/67.19 | (149) pred(n10) = all_4_63
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (61), (144) imply:
% 261.67/67.19 | (150) succ(n10) = all_4_62
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (103), (147) imply:
% 261.67/67.19 | (151) succ(n10) = all_4_59
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with n0, all_4_59, n10, simplifying with (53),
% 261.67/67.19 | (151) gives:
% 261.67/67.19 | (152) all_4_59 = n0
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with all_4_62, all_4_59, n10, simplifying with
% 261.67/67.19 | (150), (151) gives:
% 261.67/67.19 | (153) all_4_59 = all_4_62
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with n9, all_4_60, n10, simplifying with
% 261.67/67.19 | (91), (148) gives:
% 261.67/67.19 | (154) all_4_60 = n9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with all_4_63, all_4_60, n10, simplifying
% 261.67/67.19 | with (148), (149) gives:
% 261.67/67.19 | (155) all_4_60 = all_4_63
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (152), (153) imply:
% 261.67/67.19 | (156) all_4_62 = n0
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (154), (155) imply:
% 261.67/67.19 | (157) all_4_63 = n9
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (74), (152), (154) imply:
% 261.67/67.19 | (158) sum(n9, n0) = all_4_58
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (23), (154), (156) imply:
% 261.67/67.19 | (159) sum(n9, n0) = all_4_56
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (27), (152), (157) imply:
% 261.67/67.19 | (160) sum(n9, n0) = all_4_57
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (29), (156), (157) imply:
% 261.67/67.19 | (161) sum(n9, n0) = all_4_61
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n9, all_4_57, n0, n9, simplifying with
% 261.67/67.19 | (18), (160) gives:
% 261.67/67.19 | (162) all_4_57 = n9
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_58, all_4_57, n0, n9, simplifying
% 261.67/67.19 | with (158), (160) gives:
% 261.67/67.19 | (163) all_4_57 = all_4_58
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_57, all_4_56, n0, n9, simplifying
% 261.67/67.19 | with (159), (160) gives:
% 261.67/67.19 | (164) all_4_56 = all_4_57
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_61, all_4_56, n0, n9, simplifying
% 261.67/67.19 | with (159), (161) gives:
% 261.67/67.19 | (165) all_4_56 = all_4_61
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (164), (165) imply:
% 261.67/67.19 | (166) all_4_57 = all_4_61
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (166) implies:
% 261.67/67.19 | (167) all_4_57 = all_4_61
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (162), (163) imply:
% 261.67/67.19 | (168) all_4_58 = n9
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (163), (167) imply:
% 261.67/67.19 | (169) all_4_58 = all_4_61
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (168), (169) imply:
% 261.67/67.19 | (170) all_4_61 = n9
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (165), (170) imply:
% 261.67/67.19 | (171) all_4_56 = n9
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (42), (162), (171) imply:
% 261.67/67.19 | (172) sum(n9, n9) = all_4_94
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (106), (168), (170) imply:
% 261.67/67.19 | (173) sum(n9, n9) = all_4_95
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n7, all_4_94, n9, n9, simplifying with
% 261.67/67.19 | (87), (172) gives:
% 261.67/67.19 | (174) all_4_94 = n7
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_95, all_4_94, n9, n9, simplifying
% 261.67/67.19 | with (172), (173) gives:
% 261.67/67.19 | (175) all_4_94 = all_4_95
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (174), (175) imply:
% 261.67/67.19 | (176) all_4_95 = n7
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (116), (174) imply:
% 261.67/67.19 | (177) pred(n7) = all_4_52
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (13), (176) imply:
% 261.67/67.19 | (178) pred(n7) = all_4_55
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (30), (174) imply:
% 261.67/67.19 | (179) succ(n7) = all_4_54
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (4), (176) imply:
% 261.67/67.19 | (180) succ(n7) = all_4_51
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with n8, all_4_51, n7, simplifying with (69),
% 261.67/67.19 | (180) gives:
% 261.67/67.19 | (181) all_4_51 = n8
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with all_4_54, all_4_51, n7, simplifying with
% 261.67/67.19 | (179), (180) gives:
% 261.67/67.19 | (182) all_4_51 = all_4_54
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with n6, all_4_52, n7, simplifying with (66),
% 261.67/67.19 | (177) gives:
% 261.67/67.19 | (183) all_4_52 = n6
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with all_4_55, all_4_52, n7, simplifying with
% 261.67/67.19 | (177), (178) gives:
% 261.67/67.19 | (184) all_4_52 = all_4_55
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (181), (182) imply:
% 261.67/67.19 | (185) all_4_54 = n8
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (183), (184) imply:
% 261.67/67.19 | (186) all_4_55 = n6
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (186) implies:
% 261.67/67.19 | (187) all_4_55 = n6
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (112), (181), (183) imply:
% 261.67/67.19 | (188) sum(n6, n8) = all_4_50
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (20), (183), (185) imply:
% 261.67/67.19 | (189) sum(n6, n8) = all_4_48
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (65), (181), (187) imply:
% 261.67/67.19 | (190) sum(n6, n8) = all_4_49
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (25), (185), (187) imply:
% 261.67/67.19 | (191) sum(n6, n8) = all_4_53
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n3, all_4_49, n8, n6, simplifying with
% 261.67/67.19 | (37), (190) gives:
% 261.67/67.19 | (192) all_4_49 = n3
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_50, all_4_49, n8, n6, simplifying
% 261.67/67.19 | with (188), (190) gives:
% 261.67/67.19 | (193) all_4_49 = all_4_50
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_49, all_4_48, n8, n6, simplifying
% 261.67/67.19 | with (189), (190) gives:
% 261.67/67.19 | (194) all_4_48 = all_4_49
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_53, all_4_48, n8, n6, simplifying
% 261.67/67.19 | with (189), (191) gives:
% 261.67/67.19 | (195) all_4_48 = all_4_53
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (194), (195) imply:
% 261.67/67.19 | (196) all_4_49 = all_4_53
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (196) implies:
% 261.67/67.19 | (197) all_4_49 = all_4_53
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (192), (193) imply:
% 261.67/67.19 | (198) all_4_50 = n3
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (193), (197) imply:
% 261.67/67.19 | (199) all_4_50 = all_4_53
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (198), (199) imply:
% 261.67/67.19 | (200) all_4_53 = n3
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (195), (200) imply:
% 261.67/67.19 | (201) all_4_48 = n3
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (108), (192), (201) imply:
% 261.67/67.19 | (202) sum(n3, n3) = all_4_92
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (113), (198), (200) imply:
% 261.67/67.19 | (203) sum(n3, n3) = all_4_93
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n6, all_4_92, n3, n3, simplifying with
% 261.67/67.19 | (21), (202) gives:
% 261.67/67.19 | (204) all_4_92 = n6
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_93, all_4_92, n3, n3, simplifying
% 261.67/67.19 | with (202), (203) gives:
% 261.67/67.19 | (205) all_4_92 = all_4_93
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (204), (205) imply:
% 261.67/67.19 | (206) all_4_93 = n6
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (206) implies:
% 261.67/67.19 | (207) all_4_93 = n6
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (49), (204) imply:
% 261.67/67.19 | (208) pred(n6) = all_4_44
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (72), (207) imply:
% 261.67/67.19 | (209) pred(n6) = all_4_47
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (9), (204) imply:
% 261.67/67.19 | (210) succ(n6) = all_4_46
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (114), (207) imply:
% 261.67/67.19 | (211) succ(n6) = all_4_43
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with n7, all_4_43, n6, simplifying with (80),
% 261.67/67.19 | (211) gives:
% 261.67/67.19 | (212) all_4_43 = n7
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (56) with all_4_46, all_4_43, n6, simplifying with
% 261.67/67.19 | (210), (211) gives:
% 261.67/67.19 | (213) all_4_43 = all_4_46
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with n5, all_4_44, n6, simplifying with (59),
% 261.67/67.19 | (208) gives:
% 261.67/67.19 | (214) all_4_44 = n5
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (110) with all_4_47, all_4_44, n6, simplifying with
% 261.67/67.19 | (208), (209) gives:
% 261.67/67.19 | (215) all_4_44 = all_4_47
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (212), (213) imply:
% 261.67/67.19 | (216) all_4_46 = n7
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (214), (215) imply:
% 261.67/67.19 | (217) all_4_47 = n5
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (90), (212), (214) imply:
% 261.67/67.19 | (218) sum(n5, n7) = all_4_42
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (14), (214), (216) imply:
% 261.67/67.19 | (219) sum(n5, n7) = all_4_40
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (44), (212), (217) imply:
% 261.67/67.19 | (220) sum(n5, n7) = all_4_41
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (71), (216), (217) imply:
% 261.67/67.19 | (221) sum(n5, n7) = all_4_45
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n1, all_4_41, n7, n5, simplifying with
% 261.67/67.19 | (51), (220) gives:
% 261.67/67.19 | (222) all_4_41 = n1
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_42, all_4_41, n7, n5, simplifying
% 261.67/67.19 | with (218), (220) gives:
% 261.67/67.19 | (223) all_4_41 = all_4_42
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_41, all_4_40, n7, n5, simplifying
% 261.67/67.19 | with (219), (220) gives:
% 261.67/67.19 | (224) all_4_40 = all_4_41
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_45, all_4_40, n7, n5, simplifying
% 261.67/67.19 | with (219), (221) gives:
% 261.67/67.19 | (225) all_4_40 = all_4_45
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (224), (225) imply:
% 261.67/67.19 | (226) all_4_41 = all_4_45
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (226) implies:
% 261.67/67.19 | (227) all_4_41 = all_4_45
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (222), (223) imply:
% 261.67/67.19 | (228) all_4_42 = n1
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (223), (227) imply:
% 261.67/67.19 | (229) all_4_42 = all_4_45
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (228), (229) imply:
% 261.67/67.19 | (230) all_4_45 = n1
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (230) implies:
% 261.67/67.19 | (231) all_4_45 = n1
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (225), (231) imply:
% 261.67/67.19 | (232) all_4_40 = n1
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (77), (222), (232) imply:
% 261.67/67.19 | (233) sum(n1, n1) = all_4_90
% 261.67/67.19 |
% 261.67/67.19 | REDUCE: (86), (228), (231) imply:
% 261.67/67.19 | (234) sum(n1, n1) = all_4_91
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with n2, all_4_90, n1, n1, simplifying with
% 261.67/67.19 | (111), (233) gives:
% 261.67/67.19 | (235) all_4_90 = n2
% 261.67/67.19 |
% 261.67/67.19 | GROUND_INST: instantiating (84) with all_4_91, all_4_90, n1, n1, simplifying
% 261.67/67.19 | with (233), (234) gives:
% 261.67/67.19 | (236) all_4_90 = all_4_91
% 261.67/67.19 |
% 261.67/67.19 | COMBINE_EQS: (235), (236) imply:
% 261.67/67.19 | (237) all_4_91 = n2
% 261.67/67.19 |
% 261.67/67.19 | SIMP: (237) implies:
% 261.67/67.20 | (238) all_4_91 = n2
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (100), (235) imply:
% 261.67/67.20 | (239) pred(n2) = all_4_36
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (47), (238) imply:
% 261.67/67.20 | (240) pred(n2) = all_4_39
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (36), (235) imply:
% 261.67/67.20 | (241) succ(n2) = all_4_38
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (7), (238) imply:
% 261.67/67.20 | (242) succ(n2) = all_4_35
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with n3, all_4_35, n2, simplifying with (78),
% 261.67/67.20 | (242) gives:
% 261.67/67.20 | (243) all_4_35 = n3
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with all_4_38, all_4_35, n2, simplifying with
% 261.67/67.20 | (241), (242) gives:
% 261.67/67.20 | (244) all_4_35 = all_4_38
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with n1, all_4_36, n2, simplifying with (97),
% 261.67/67.20 | (239) gives:
% 261.67/67.20 | (245) all_4_36 = n1
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with all_4_39, all_4_36, n2, simplifying with
% 261.67/67.20 | (239), (240) gives:
% 261.67/67.20 | (246) all_4_36 = all_4_39
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (243), (244) imply:
% 261.67/67.20 | (247) all_4_38 = n3
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (245), (246) imply:
% 261.67/67.20 | (248) all_4_39 = n1
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (68), (243), (245) imply:
% 261.67/67.20 | (249) sum(n1, n3) = all_4_34
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (104), (245), (247) imply:
% 261.67/67.20 | (250) sum(n1, n3) = all_4_32
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (83), (243), (248) imply:
% 261.67/67.20 | (251) sum(n1, n3) = all_4_33
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (88), (247), (248) imply:
% 261.67/67.20 | (252) sum(n1, n3) = all_4_37
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n4, all_4_33, n3, n1, simplifying with
% 261.67/67.20 | (109), (251) gives:
% 261.67/67.20 | (253) all_4_33 = n4
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_34, all_4_33, n3, n1, simplifying
% 261.67/67.20 | with (249), (251) gives:
% 261.67/67.20 | (254) all_4_33 = all_4_34
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_33, all_4_32, n3, n1, simplifying
% 261.67/67.20 | with (250), (251) gives:
% 261.67/67.20 | (255) all_4_32 = all_4_33
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_37, all_4_32, n3, n1, simplifying
% 261.67/67.20 | with (250), (252) gives:
% 261.67/67.20 | (256) all_4_32 = all_4_37
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (255), (256) imply:
% 261.67/67.20 | (257) all_4_33 = all_4_37
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (257) implies:
% 261.67/67.20 | (258) all_4_33 = all_4_37
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (253), (254) imply:
% 261.67/67.20 | (259) all_4_34 = n4
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (254), (258) imply:
% 261.67/67.20 | (260) all_4_34 = all_4_37
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (259), (260) imply:
% 261.67/67.20 | (261) all_4_37 = n4
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (256), (261) imply:
% 261.67/67.20 | (262) all_4_32 = n4
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (43), (253), (262) imply:
% 261.67/67.20 | (263) sum(n4, n4) = all_4_88
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (31), (259), (261) imply:
% 261.67/67.20 | (264) sum(n4, n4) = all_4_89
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n8, all_4_88, n4, n4, simplifying with
% 261.67/67.20 | (121), (263) gives:
% 261.67/67.20 | (265) all_4_88 = n8
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_89, all_4_88, n4, n4, simplifying
% 261.67/67.20 | with (263), (264) gives:
% 261.67/67.20 | (266) all_4_88 = all_4_89
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (265), (266) imply:
% 261.67/67.20 | (267) all_4_89 = n8
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (38), (265) imply:
% 261.67/67.20 | (268) pred(n8) = all_4_28
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (48), (267) imply:
% 261.67/67.20 | (269) pred(n8) = all_4_31
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (62), (265) imply:
% 261.67/67.20 | (270) succ(n8) = all_4_30
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (12), (267) imply:
% 261.67/67.20 | (271) succ(n8) = all_4_27
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with n9, all_4_27, n8, simplifying with (81),
% 261.67/67.20 | (271) gives:
% 261.67/67.20 | (272) all_4_27 = n9
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with all_4_30, all_4_27, n8, simplifying with
% 261.67/67.20 | (270), (271) gives:
% 261.67/67.20 | (273) all_4_27 = all_4_30
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with n7, all_4_28, n8, simplifying with (33),
% 261.67/67.20 | (268) gives:
% 261.67/67.20 | (274) all_4_28 = n7
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with all_4_31, all_4_28, n8, simplifying with
% 261.67/67.20 | (268), (269) gives:
% 261.67/67.20 | (275) all_4_28 = all_4_31
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (272), (273) imply:
% 261.67/67.20 | (276) all_4_30 = n9
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (274), (275) imply:
% 261.67/67.20 | (277) all_4_31 = n7
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (2), (272), (274) imply:
% 261.67/67.20 | (278) sum(n7, n9) = all_4_26
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (16), (274), (276) imply:
% 261.67/67.20 | (279) sum(n7, n9) = all_4_24
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (28), (272), (277) imply:
% 261.67/67.20 | (280) sum(n7, n9) = all_4_25
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (41), (276), (277) imply:
% 261.67/67.20 | (281) sum(n7, n9) = all_4_29
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n5, all_4_25, n9, n7, simplifying with
% 261.67/67.20 | (93), (280) gives:
% 261.67/67.20 | (282) all_4_25 = n5
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_26, all_4_25, n9, n7, simplifying
% 261.67/67.20 | with (278), (280) gives:
% 261.67/67.20 | (283) all_4_25 = all_4_26
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_25, all_4_24, n9, n7, simplifying
% 261.67/67.20 | with (279), (280) gives:
% 261.67/67.20 | (284) all_4_24 = all_4_25
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_29, all_4_24, n9, n7, simplifying
% 261.67/67.20 | with (279), (281) gives:
% 261.67/67.20 | (285) all_4_24 = all_4_29
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (284), (285) imply:
% 261.67/67.20 | (286) all_4_25 = all_4_29
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (286) implies:
% 261.67/67.20 | (287) all_4_25 = all_4_29
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (282), (283) imply:
% 261.67/67.20 | (288) all_4_26 = n5
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (283), (287) imply:
% 261.67/67.20 | (289) all_4_26 = all_4_29
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (288), (289) imply:
% 261.67/67.20 | (290) all_4_29 = n5
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (285), (290) imply:
% 261.67/67.20 | (291) all_4_24 = n5
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (6), (282), (291) imply:
% 261.67/67.20 | (292) sum(n5, n5) = all_4_86
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (46), (288), (290) imply:
% 261.67/67.20 | (293) sum(n5, n5) = all_4_87
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n10, all_4_86, n5, n5, simplifying with
% 261.67/67.20 | (75), (292) gives:
% 261.67/67.20 | (294) all_4_86 = n10
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_87, all_4_86, n5, n5, simplifying
% 261.67/67.20 | with (292), (293) gives:
% 261.67/67.20 | (295) all_4_86 = all_4_87
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (294), (295) imply:
% 261.67/67.20 | (296) all_4_87 = n10
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (296) implies:
% 261.67/67.20 | (297) all_4_87 = n10
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (35), (294) imply:
% 261.67/67.20 | (298) pred(n10) = all_4_20
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (85), (297) imply:
% 261.67/67.20 | (299) pred(n10) = all_4_23
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (32), (294) imply:
% 261.67/67.20 | (300) succ(n10) = all_4_22
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (5), (297) imply:
% 261.67/67.20 | (301) succ(n10) = all_4_19
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with n0, all_4_19, n10, simplifying with (53),
% 261.67/67.20 | (301) gives:
% 261.67/67.20 | (302) all_4_19 = n0
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with all_4_22, all_4_19, n10, simplifying with
% 261.67/67.20 | (300), (301) gives:
% 261.67/67.20 | (303) all_4_19 = all_4_22
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with n9, all_4_20, n10, simplifying with
% 261.67/67.20 | (91), (298) gives:
% 261.67/67.20 | (304) all_4_20 = n9
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with all_4_23, all_4_20, n10, simplifying
% 261.67/67.20 | with (298), (299) gives:
% 261.67/67.20 | (305) all_4_20 = all_4_23
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (302), (303) imply:
% 261.67/67.20 | (306) all_4_22 = n0
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (304), (305) imply:
% 261.67/67.20 | (307) all_4_23 = n9
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (17), (302), (304) imply:
% 261.67/67.20 | (308) sum(n9, n0) = all_4_18
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (63), (304), (306) imply:
% 261.67/67.20 | (309) sum(n9, n0) = all_4_16
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (11), (302), (307) imply:
% 261.67/67.20 | (310) sum(n9, n0) = all_4_17
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (26), (306), (307) imply:
% 261.67/67.20 | (311) sum(n9, n0) = all_4_21
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n9, all_4_17, n0, n9, simplifying with
% 261.67/67.20 | (18), (310) gives:
% 261.67/67.20 | (312) all_4_17 = n9
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_18, all_4_17, n0, n9, simplifying
% 261.67/67.20 | with (308), (310) gives:
% 261.67/67.20 | (313) all_4_17 = all_4_18
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_17, all_4_16, n0, n9, simplifying
% 261.67/67.20 | with (309), (310) gives:
% 261.67/67.20 | (314) all_4_16 = all_4_17
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_21, all_4_16, n0, n9, simplifying
% 261.67/67.20 | with (309), (311) gives:
% 261.67/67.20 | (315) all_4_16 = all_4_21
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (314), (315) imply:
% 261.67/67.20 | (316) all_4_17 = all_4_21
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (316) implies:
% 261.67/67.20 | (317) all_4_17 = all_4_21
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (312), (313) imply:
% 261.67/67.20 | (318) all_4_18 = n9
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (313), (317) imply:
% 261.67/67.20 | (319) all_4_18 = all_4_21
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (318), (319) imply:
% 261.67/67.20 | (320) all_4_21 = n9
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (315), (320) imply:
% 261.67/67.20 | (321) all_4_16 = n9
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (94), (312), (321) imply:
% 261.67/67.20 | (322) sum(n9, n9) = all_4_84
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (8), (318), (320) imply:
% 261.67/67.20 | (323) sum(n9, n9) = all_4_85
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n7, all_4_84, n9, n9, simplifying with
% 261.67/67.20 | (87), (322) gives:
% 261.67/67.20 | (324) all_4_84 = n7
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_85, all_4_84, n9, n9, simplifying
% 261.67/67.20 | with (322), (323) gives:
% 261.67/67.20 | (325) all_4_84 = all_4_85
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (324), (325) imply:
% 261.67/67.20 | (326) all_4_85 = n7
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (326) implies:
% 261.67/67.20 | (327) all_4_85 = n7
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (105), (324) imply:
% 261.67/67.20 | (328) pred(n7) = all_4_12
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (39), (327) imply:
% 261.67/67.20 | (329) pred(n7) = all_4_15
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (3), (324) imply:
% 261.67/67.20 | (330) succ(n7) = all_4_14
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (107), (327) imply:
% 261.67/67.20 | (331) succ(n7) = all_4_11
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with n8, all_4_11, n7, simplifying with (69),
% 261.67/67.20 | (331) gives:
% 261.67/67.20 | (332) all_4_11 = n8
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with all_4_14, all_4_11, n7, simplifying with
% 261.67/67.20 | (330), (331) gives:
% 261.67/67.20 | (333) all_4_11 = all_4_14
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with n6, all_4_12, n7, simplifying with (66),
% 261.67/67.20 | (328) gives:
% 261.67/67.20 | (334) all_4_12 = n6
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with all_4_15, all_4_12, n7, simplifying with
% 261.67/67.20 | (328), (329) gives:
% 261.67/67.20 | (335) all_4_12 = all_4_15
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (332), (333) imply:
% 261.67/67.20 | (336) all_4_14 = n8
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (334), (335) imply:
% 261.67/67.20 | (337) all_4_15 = n6
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (64), (332), (334) imply:
% 261.67/67.20 | (338) sum(n6, n8) = all_4_10
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (45), (334), (336) imply:
% 261.67/67.20 | (339) sum(n6, n8) = all_4_8
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (70), (332), (337) imply:
% 261.67/67.20 | (340) sum(n6, n8) = all_4_9
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (40), (336), (337) imply:
% 261.67/67.20 | (341) sum(n6, n8) = all_4_13
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n3, all_4_9, n8, n6, simplifying with
% 261.67/67.20 | (37), (340) gives:
% 261.67/67.20 | (342) all_4_9 = n3
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_10, all_4_9, n8, n6, simplifying
% 261.67/67.20 | with (338), (340) gives:
% 261.67/67.20 | (343) all_4_9 = all_4_10
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_9, all_4_8, n8, n6, simplifying
% 261.67/67.20 | with (339), (340) gives:
% 261.67/67.20 | (344) all_4_8 = all_4_9
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_13, all_4_8, n8, n6, simplifying
% 261.67/67.20 | with (339), (341) gives:
% 261.67/67.20 | (345) all_4_8 = all_4_13
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (344), (345) imply:
% 261.67/67.20 | (346) all_4_9 = all_4_13
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (346) implies:
% 261.67/67.20 | (347) all_4_9 = all_4_13
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (342), (343) imply:
% 261.67/67.20 | (348) all_4_10 = n3
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (343), (347) imply:
% 261.67/67.20 | (349) all_4_10 = all_4_13
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (348), (349) imply:
% 261.67/67.20 | (350) all_4_13 = n3
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (345), (350) imply:
% 261.67/67.20 | (351) all_4_8 = n3
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (19), (342), (351) imply:
% 261.67/67.20 | (352) sum(n3, n3) = all_4_82
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (95), (348), (350) imply:
% 261.67/67.20 | (353) sum(n3, n3) = all_4_83
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n6, all_4_82, n3, n3, simplifying with
% 261.67/67.20 | (21), (352) gives:
% 261.67/67.20 | (354) all_4_82 = n6
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_83, all_4_82, n3, n3, simplifying
% 261.67/67.20 | with (352), (353) gives:
% 261.67/67.20 | (355) all_4_82 = all_4_83
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (354), (355) imply:
% 261.67/67.20 | (356) all_4_83 = n6
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (356) implies:
% 261.67/67.20 | (357) all_4_83 = n6
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (82), (354) imply:
% 261.67/67.20 | (358) pred(n6) = all_4_4
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (54), (357) imply:
% 261.67/67.20 | (359) pred(n6) = all_4_7
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (55), (354) imply:
% 261.67/67.20 | (360) succ(n6) = all_4_6
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (10), (357) imply:
% 261.67/67.20 | (361) succ(n6) = all_4_3
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with n7, all_4_3, n6, simplifying with (80),
% 261.67/67.20 | (361) gives:
% 261.67/67.20 | (362) all_4_3 = n7
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (56) with all_4_6, all_4_3, n6, simplifying with
% 261.67/67.20 | (360), (361) gives:
% 261.67/67.20 | (363) all_4_3 = all_4_6
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with n5, all_4_4, n6, simplifying with (59),
% 261.67/67.20 | (358) gives:
% 261.67/67.20 | (364) all_4_4 = n5
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with all_4_7, all_4_4, n6, simplifying with
% 261.67/67.20 | (358), (359) gives:
% 261.67/67.20 | (365) all_4_4 = all_4_7
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (362), (363) imply:
% 261.67/67.20 | (366) all_4_6 = n7
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (364), (365) imply:
% 261.67/67.20 | (367) all_4_7 = n5
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (22), (362), (364) imply:
% 261.67/67.20 | (368) sum(n5, n7) = all_4_2
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (50), (364), (366) imply:
% 261.67/67.20 | (369) sum(n5, n7) = all_4_0
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (15), (362), (367) imply:
% 261.67/67.20 | (370) sum(n5, n7) = all_4_1
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (101), (366), (367) imply:
% 261.67/67.20 | (371) sum(n5, n7) = all_4_5
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n1, all_4_1, n7, n5, simplifying with
% 261.67/67.20 | (51), (370) gives:
% 261.67/67.20 | (372) all_4_1 = n1
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_2, all_4_1, n7, n5, simplifying
% 261.67/67.20 | with (368), (370) gives:
% 261.67/67.20 | (373) all_4_1 = all_4_2
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_1, all_4_0, n7, n5, simplifying
% 261.67/67.20 | with (369), (370) gives:
% 261.67/67.20 | (374) all_4_0 = all_4_1
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_5, all_4_0, n7, n5, simplifying
% 261.67/67.20 | with (369), (371) gives:
% 261.67/67.20 | (375) all_4_0 = all_4_5
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (374), (375) imply:
% 261.67/67.20 | (376) all_4_1 = all_4_5
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (376) implies:
% 261.67/67.20 | (377) all_4_1 = all_4_5
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (372), (373) imply:
% 261.67/67.20 | (378) all_4_2 = n1
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (373), (377) imply:
% 261.67/67.20 | (379) all_4_2 = all_4_5
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (378), (379) imply:
% 261.67/67.20 | (380) all_4_5 = n1
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (375), (380) imply:
% 261.67/67.20 | (381) all_4_0 = n1
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (67), (372), (381) imply:
% 261.67/67.20 | (382) sum(n1, n1) = all_4_80
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (96), (378), (380) imply:
% 261.67/67.20 | (383) sum(n1, n1) = all_4_81
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with n2, all_4_80, n1, n1, simplifying with
% 261.67/67.20 | (111), (382) gives:
% 261.67/67.20 | (384) all_4_80 = n2
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (84) with all_4_81, all_4_80, n1, n1, simplifying
% 261.67/67.20 | with (382), (383) gives:
% 261.67/67.20 | (385) all_4_80 = all_4_81
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (384), (385) imply:
% 261.67/67.20 | (386) all_4_81 = n2
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (386) implies:
% 261.67/67.20 | (387) all_4_81 = n2
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (1), (384), (387) imply:
% 261.67/67.20 | (388) $false
% 261.67/67.20 |
% 261.67/67.20 | CLOSE: (388) is inconsistent.
% 261.67/67.20 |
% 261.67/67.20 End of proof
% 261.67/67.20
% 261.67/67.20 Sub-proof #207 shows that the following formulas are inconsistent:
% 261.67/67.20 ----------------------------------------------------------------
% 261.67/67.20 (1) ~ (all_4_80 = all_4_81)
% 261.67/67.20 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.67/67.20 (3) succ(all_4_84) = all_4_14
% 261.67/67.20 (4) succ(all_4_95) = all_4_51
% 261.67/67.20 (5) succ(all_4_87) = all_4_19
% 261.67/67.20 (6) sum(all_4_25, all_4_24) = all_4_86
% 261.67/67.20 (7) succ(all_4_91) = all_4_35
% 261.67/67.20 (8) sum(all_4_21, all_4_18) = all_4_85
% 261.67/67.20 (9) succ(all_4_92) = all_4_46
% 261.67/67.20 (10) succ(all_4_83) = all_4_3
% 261.67/67.20 (11) sum(all_4_23, all_4_19) = all_4_17
% 261.67/67.20 (12) succ(all_4_89) = all_4_27
% 261.67/67.20 (13) pred(all_4_95) = all_4_55
% 261.67/67.20 (14) sum(all_4_44, all_4_46) = all_4_40
% 261.67/67.20 (15) sum(all_4_7, all_4_3) = all_4_1
% 261.67/67.20 (16) sum(all_4_28, all_4_30) = all_4_24
% 261.67/67.20 (17) sum(all_4_20, all_4_19) = all_4_18
% 261.67/67.20 (18) sum(n9, n0) = n9
% 261.67/67.20 (19) sum(all_4_9, all_4_8) = all_4_82
% 261.67/67.20 (20) sum(all_4_52, all_4_54) = all_4_48
% 261.67/67.20 (21) sum(n3, n3) = n6
% 261.67/67.20 (22) sum(all_4_4, all_4_3) = all_4_2
% 261.67/67.20 (23) sum(all_4_60, all_4_62) = all_4_56
% 261.67/67.20 (24) sum(all_4_71, all_4_70) = all_4_69
% 261.67/67.20 (25) sum(all_4_55, all_4_54) = all_4_53
% 261.67/67.20 (26) sum(all_4_23, all_4_22) = all_4_21
% 261.67/67.20 (27) sum(all_4_63, all_4_59) = all_4_57
% 261.67/67.20 (28) sum(all_4_31, all_4_27) = all_4_25
% 261.67/67.20 (29) sum(all_4_63, all_4_62) = all_4_61
% 261.67/67.20 (30) succ(all_4_94) = all_4_54
% 261.67/67.20 (31) sum(all_4_37, all_4_34) = all_4_89
% 261.67/67.20 (32) succ(all_4_86) = all_4_22
% 261.67/67.20 (33) pred(n8) = n7
% 261.67/67.20 (34) pred(all_4_99) = all_4_71
% 261.67/67.20 (35) pred(all_4_86) = all_4_20
% 261.67/67.20 (36) succ(all_4_90) = all_4_38
% 261.67/67.20 (37) sum(n6, n8) = n3
% 261.67/67.20 (38) pred(all_4_88) = all_4_28
% 261.67/67.20 (39) pred(all_4_85) = all_4_15
% 261.67/67.20 (40) sum(all_4_15, all_4_14) = all_4_13
% 261.67/67.20 (41) sum(all_4_31, all_4_30) = all_4_29
% 261.67/67.20 (42) sum(all_4_57, all_4_56) = all_4_94
% 261.67/67.20 (43) sum(all_4_33, all_4_32) = all_4_88
% 261.67/67.20 (44) sum(all_4_47, all_4_43) = all_4_41
% 261.67/67.20 (45) all_4_99 = n10
% 261.67/67.20 (46) sum(all_4_12, all_4_14) = all_4_8
% 261.67/67.20 (47) sum(all_4_29, all_4_26) = all_4_87
% 261.67/67.20 (48) pred(all_4_91) = all_4_39
% 261.67/67.20 (49) pred(all_4_89) = all_4_31
% 261.67/67.20 (50) pred(all_4_92) = all_4_44
% 261.67/67.20 (51) sum(all_4_4, all_4_6) = all_4_0
% 261.67/67.20 (52) sum(n5, n7) = n1
% 261.67/67.20 (53) sum(all_4_65, all_4_64) = all_4_96
% 261.67/67.20 (54) succ(n10) = n0
% 261.67/67.20 (55) pred(all_4_83) = all_4_7
% 261.67/67.20 (56) succ(all_4_82) = all_4_6
% 261.67/67.20 (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.67/67.20 | ~ (succ(v2) = v0))
% 261.67/67.20 (58) pred(all_4_97) = all_4_63
% 261.67/67.20 (59) succ(all_4_99) = all_4_67
% 261.67/67.20 (60) pred(n6) = n5
% 261.67/67.20 (61) pred(all_4_96) = all_4_60
% 261.67/67.20 (62) succ(all_4_96) = all_4_62
% 261.67/67.20 (63) succ(all_4_88) = all_4_30
% 261.67/67.20 (64) sum(all_4_20, all_4_22) = all_4_16
% 261.67/67.20 (65) sum(all_4_12, all_4_11) = all_4_10
% 261.67/67.20 (66) sum(all_4_55, all_4_51) = all_4_49
% 261.67/67.20 (67) pred(n7) = n6
% 261.67/67.20 (68) sum(all_4_1, all_4_0) = all_4_80
% 261.67/67.20 (69) sum(all_4_36, all_4_35) = all_4_34
% 261.67/67.20 (70) succ(n7) = n8
% 261.67/67.20 (71) sum(all_4_15, all_4_11) = all_4_9
% 261.67/67.20 (72) sum(all_4_47, all_4_46) = all_4_45
% 261.67/67.20 (73) pred(all_4_93) = all_4_47
% 261.67/67.20 (74) sum(all_4_71, all_4_67) = all_4_65
% 261.67/67.20 (75) sum(n5, n5) = all_4_99
% 261.67/67.20 (76) sum(all_4_60, all_4_59) = all_4_58
% 261.67/67.20 (77) all_4_98 = n10
% 261.67/67.20 (78) sum(all_4_41, all_4_40) = all_4_90
% 261.67/67.20 (79) succ(n2) = n3
% 261.67/67.20 (80) sum(all_4_68, all_4_67) = all_4_66
% 261.67/67.20 (81) succ(n6) = n7
% 261.67/67.20 (82) succ(n8) = n9
% 261.67/67.20 (83) pred(all_4_82) = all_4_4
% 261.67/67.20 (84) sum(all_4_39, all_4_35) = all_4_33
% 261.67/67.20 (85) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.67/67.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.67/67.20 (86) pred(all_4_87) = all_4_23
% 261.67/67.20 (87) sum(all_4_45, all_4_42) = all_4_91
% 261.67/67.20 (88) sum(n9, n9) = n7
% 261.67/67.20 (89) sum(all_4_39, all_4_38) = all_4_37
% 261.67/67.20 (90) sum(all_4_44, all_4_43) = all_4_42
% 261.67/67.20 (91) pred(n10) = n9
% 261.67/67.20 (92) sum(all_4_69, all_4_66) = all_4_97
% 261.67/67.20 (93) sum(n7, n9) = n5
% 261.67/67.20 (94) sum(all_4_17, all_4_16) = all_4_84
% 261.67/67.20 (95) sum(all_4_13, all_4_10) = all_4_83
% 261.67/67.20 (96) sum(all_4_5, all_4_2) = all_4_81
% 261.67/67.20 (97) pred(n2) = n1
% 261.67/67.20 (98) succ(all_4_98) = all_4_70
% 261.67/67.20 (99) pred(all_4_90) = all_4_36
% 261.67/67.20 (100) sum(n4, n4) = n8
% 261.67/67.20 (101) sum(all_4_7, all_4_6) = all_4_5
% 261.67/67.20 (102) sum(all_4_68, all_4_70) = all_4_64
% 261.67/67.20 (103) succ(all_4_97) = all_4_59
% 261.67/67.20 (104) sum(all_4_36, all_4_38) = all_4_32
% 261.67/67.20 (105) pred(all_4_84) = all_4_12
% 261.67/67.20 (106) sum(all_4_61, all_4_58) = all_4_95
% 261.67/67.20 (107) succ(all_4_85) = all_4_11
% 261.67/67.20 (108) sum(all_4_49, all_4_48) = all_4_92
% 261.67/67.20 (109) sum(n1, n3) = n4
% 261.67/67.20 (110) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.67/67.20 | ~ (pred(v2) = v0))
% 261.67/67.20 (111) sum(n1, n1) = n2
% 261.67/67.20 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.67/67.20 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.67/67.20 (114) succ(all_4_93) = all_4_43
% 261.67/67.20 (115) pred(all_4_98) = all_4_68
% 261.67/67.20 (116) pred(all_4_94) = all_4_52
% 261.67/67.20
% 261.67/67.20 Begin of proof
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (77), (115) imply:
% 261.67/67.20 | (117) pred(n10) = all_4_68
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (34), (45) imply:
% 261.67/67.20 | (118) pred(n10) = all_4_71
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (77), (98) imply:
% 261.67/67.20 | (119) succ(n10) = all_4_70
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (45), (59) imply:
% 261.67/67.20 | (120) succ(n10) = all_4_67
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (45), (75) imply:
% 261.67/67.20 | (121) sum(n5, n5) = n10
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (57) with n0, all_4_67, n10, simplifying with (54),
% 261.67/67.20 | (120) gives:
% 261.67/67.20 | (122) all_4_67 = n0
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (57) with all_4_70, all_4_67, n10, simplifying with
% 261.67/67.20 | (119), (120) gives:
% 261.67/67.20 | (123) all_4_67 = all_4_70
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with n9, all_4_68, n10, simplifying with
% 261.67/67.20 | (91), (117) gives:
% 261.67/67.20 | (124) all_4_68 = n9
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (110) with all_4_71, all_4_68, n10, simplifying
% 261.67/67.20 | with (117), (118) gives:
% 261.67/67.20 | (125) all_4_68 = all_4_71
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (122), (123) imply:
% 261.67/67.20 | (126) all_4_70 = n0
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (124), (125) imply:
% 261.67/67.20 | (127) all_4_71 = n9
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (80), (122), (124) imply:
% 261.67/67.20 | (128) sum(n9, n0) = all_4_66
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (102), (124), (126) imply:
% 261.67/67.20 | (129) sum(n9, n0) = all_4_64
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (74), (122), (127) imply:
% 261.67/67.20 | (130) sum(n9, n0) = all_4_65
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (24), (126), (127) imply:
% 261.67/67.20 | (131) sum(n9, n0) = all_4_69
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (85) with n9, all_4_65, n0, n9, simplifying with
% 261.67/67.20 | (18), (130) gives:
% 261.67/67.20 | (132) all_4_65 = n9
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (85) with all_4_66, all_4_65, n0, n9, simplifying
% 261.67/67.20 | with (128), (130) gives:
% 261.67/67.20 | (133) all_4_65 = all_4_66
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (85) with all_4_66, all_4_64, n0, n9, simplifying
% 261.67/67.20 | with (128), (129) gives:
% 261.67/67.20 | (134) all_4_64 = all_4_66
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (85) with all_4_69, all_4_64, n0, n9, simplifying
% 261.67/67.20 | with (129), (131) gives:
% 261.67/67.20 | (135) all_4_64 = all_4_69
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (134), (135) imply:
% 261.67/67.20 | (136) all_4_66 = all_4_69
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (136) implies:
% 261.67/67.20 | (137) all_4_66 = all_4_69
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (132), (133) imply:
% 261.67/67.20 | (138) all_4_66 = n9
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (138) implies:
% 261.67/67.20 | (139) all_4_66 = n9
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (137), (139) imply:
% 261.67/67.20 | (140) all_4_69 = n9
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (135), (140) imply:
% 261.67/67.20 | (141) all_4_64 = n9
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (53), (132), (141) imply:
% 261.67/67.20 | (142) sum(n9, n9) = all_4_96
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (92), (139), (140) imply:
% 261.67/67.20 | (143) sum(n9, n9) = all_4_97
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (85) with n7, all_4_96, n9, n9, simplifying with
% 261.67/67.20 | (88), (142) gives:
% 261.67/67.20 | (144) all_4_96 = n7
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (85) with all_4_97, all_4_96, n9, n9, simplifying
% 261.67/67.20 | with (142), (143) gives:
% 261.67/67.20 | (145) all_4_96 = all_4_97
% 261.67/67.20 |
% 261.67/67.20 | COMBINE_EQS: (144), (145) imply:
% 261.67/67.20 | (146) all_4_97 = n7
% 261.67/67.20 |
% 261.67/67.20 | SIMP: (146) implies:
% 261.67/67.20 | (147) all_4_97 = n7
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (61), (144) imply:
% 261.67/67.20 | (148) pred(n7) = all_4_60
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (58), (147) imply:
% 261.67/67.20 | (149) pred(n7) = all_4_63
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (62), (144) imply:
% 261.67/67.20 | (150) succ(n7) = all_4_62
% 261.67/67.20 |
% 261.67/67.20 | REDUCE: (103), (147) imply:
% 261.67/67.20 | (151) succ(n7) = all_4_59
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (57) with n8, all_4_59, n7, simplifying with (70),
% 261.67/67.20 | (151) gives:
% 261.67/67.20 | (152) all_4_59 = n8
% 261.67/67.20 |
% 261.67/67.20 | GROUND_INST: instantiating (57) with all_4_62, all_4_59, n7, simplifying with
% 261.67/67.20 | (150), (151) gives:
% 261.67/67.21 | (153) all_4_59 = all_4_62
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n6, all_4_60, n7, simplifying with (67),
% 261.67/67.21 | (148) gives:
% 261.67/67.21 | (154) all_4_60 = n6
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_63, all_4_60, n7, simplifying with
% 261.67/67.21 | (148), (149) gives:
% 261.67/67.21 | (155) all_4_60 = all_4_63
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (152), (153) imply:
% 261.67/67.21 | (156) all_4_62 = n8
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (154), (155) imply:
% 261.67/67.21 | (157) all_4_63 = n6
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (76), (152), (154) imply:
% 261.67/67.21 | (158) sum(n6, n8) = all_4_58
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (23), (154), (156) imply:
% 261.67/67.21 | (159) sum(n6, n8) = all_4_56
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (27), (152), (157) imply:
% 261.67/67.21 | (160) sum(n6, n8) = all_4_57
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (29), (156), (157) imply:
% 261.67/67.21 | (161) sum(n6, n8) = all_4_61
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n3, all_4_57, n8, n6, simplifying with
% 261.67/67.21 | (37), (160) gives:
% 261.67/67.21 | (162) all_4_57 = n3
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_58, all_4_57, n8, n6, simplifying
% 261.67/67.21 | with (158), (160) gives:
% 261.67/67.21 | (163) all_4_57 = all_4_58
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_57, all_4_56, n8, n6, simplifying
% 261.67/67.21 | with (159), (160) gives:
% 261.67/67.21 | (164) all_4_56 = all_4_57
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_61, all_4_56, n8, n6, simplifying
% 261.67/67.21 | with (159), (161) gives:
% 261.67/67.21 | (165) all_4_56 = all_4_61
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (164), (165) imply:
% 261.67/67.21 | (166) all_4_57 = all_4_61
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (166) implies:
% 261.67/67.21 | (167) all_4_57 = all_4_61
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (162), (163) imply:
% 261.67/67.21 | (168) all_4_58 = n3
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (163), (167) imply:
% 261.67/67.21 | (169) all_4_58 = all_4_61
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (168), (169) imply:
% 261.67/67.21 | (170) all_4_61 = n3
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (165), (170) imply:
% 261.67/67.21 | (171) all_4_56 = n3
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (42), (162), (171) imply:
% 261.67/67.21 | (172) sum(n3, n3) = all_4_94
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (106), (168), (170) imply:
% 261.67/67.21 | (173) sum(n3, n3) = all_4_95
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n6, all_4_94, n3, n3, simplifying with
% 261.67/67.21 | (21), (172) gives:
% 261.67/67.21 | (174) all_4_94 = n6
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_95, all_4_94, n3, n3, simplifying
% 261.67/67.21 | with (172), (173) gives:
% 261.67/67.21 | (175) all_4_94 = all_4_95
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (174), (175) imply:
% 261.67/67.21 | (176) all_4_95 = n6
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (116), (174) imply:
% 261.67/67.21 | (177) pred(n6) = all_4_52
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (13), (176) imply:
% 261.67/67.21 | (178) pred(n6) = all_4_55
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (30), (174) imply:
% 261.67/67.21 | (179) succ(n6) = all_4_54
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (4), (176) imply:
% 261.67/67.21 | (180) succ(n6) = all_4_51
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n7, all_4_51, n6, simplifying with (81),
% 261.67/67.21 | (180) gives:
% 261.67/67.21 | (181) all_4_51 = n7
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_54, all_4_51, n6, simplifying with
% 261.67/67.21 | (179), (180) gives:
% 261.67/67.21 | (182) all_4_51 = all_4_54
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n5, all_4_52, n6, simplifying with (60),
% 261.67/67.21 | (177) gives:
% 261.67/67.21 | (183) all_4_52 = n5
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_55, all_4_52, n6, simplifying with
% 261.67/67.21 | (177), (178) gives:
% 261.67/67.21 | (184) all_4_52 = all_4_55
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (181), (182) imply:
% 261.67/67.21 | (185) all_4_54 = n7
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (183), (184) imply:
% 261.67/67.21 | (186) all_4_55 = n5
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (186) implies:
% 261.67/67.21 | (187) all_4_55 = n5
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (112), (181), (183) imply:
% 261.67/67.21 | (188) sum(n5, n7) = all_4_50
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (20), (183), (185) imply:
% 261.67/67.21 | (189) sum(n5, n7) = all_4_48
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (66), (181), (187) imply:
% 261.67/67.21 | (190) sum(n5, n7) = all_4_49
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (25), (185), (187) imply:
% 261.67/67.21 | (191) sum(n5, n7) = all_4_53
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n1, all_4_49, n7, n5, simplifying with
% 261.67/67.21 | (52), (190) gives:
% 261.67/67.21 | (192) all_4_49 = n1
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_50, all_4_49, n7, n5, simplifying
% 261.67/67.21 | with (188), (190) gives:
% 261.67/67.21 | (193) all_4_49 = all_4_50
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_49, all_4_48, n7, n5, simplifying
% 261.67/67.21 | with (189), (190) gives:
% 261.67/67.21 | (194) all_4_48 = all_4_49
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_53, all_4_48, n7, n5, simplifying
% 261.67/67.21 | with (189), (191) gives:
% 261.67/67.21 | (195) all_4_48 = all_4_53
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (194), (195) imply:
% 261.67/67.21 | (196) all_4_49 = all_4_53
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (196) implies:
% 261.67/67.21 | (197) all_4_49 = all_4_53
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (192), (193) imply:
% 261.67/67.21 | (198) all_4_50 = n1
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (193), (197) imply:
% 261.67/67.21 | (199) all_4_50 = all_4_53
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (198), (199) imply:
% 261.67/67.21 | (200) all_4_53 = n1
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (195), (200) imply:
% 261.67/67.21 | (201) all_4_48 = n1
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (108), (192), (201) imply:
% 261.67/67.21 | (202) sum(n1, n1) = all_4_92
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (113), (198), (200) imply:
% 261.67/67.21 | (203) sum(n1, n1) = all_4_93
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n2, all_4_92, n1, n1, simplifying with
% 261.67/67.21 | (111), (202) gives:
% 261.67/67.21 | (204) all_4_92 = n2
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_93, all_4_92, n1, n1, simplifying
% 261.67/67.21 | with (202), (203) gives:
% 261.67/67.21 | (205) all_4_92 = all_4_93
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (204), (205) imply:
% 261.67/67.21 | (206) all_4_93 = n2
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (206) implies:
% 261.67/67.21 | (207) all_4_93 = n2
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (50), (204) imply:
% 261.67/67.21 | (208) pred(n2) = all_4_44
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (73), (207) imply:
% 261.67/67.21 | (209) pred(n2) = all_4_47
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (9), (204) imply:
% 261.67/67.21 | (210) succ(n2) = all_4_46
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (114), (207) imply:
% 261.67/67.21 | (211) succ(n2) = all_4_43
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n3, all_4_43, n2, simplifying with (79),
% 261.67/67.21 | (211) gives:
% 261.67/67.21 | (212) all_4_43 = n3
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_46, all_4_43, n2, simplifying with
% 261.67/67.21 | (210), (211) gives:
% 261.67/67.21 | (213) all_4_43 = all_4_46
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n1, all_4_44, n2, simplifying with (97),
% 261.67/67.21 | (208) gives:
% 261.67/67.21 | (214) all_4_44 = n1
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_47, all_4_44, n2, simplifying with
% 261.67/67.21 | (208), (209) gives:
% 261.67/67.21 | (215) all_4_44 = all_4_47
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (212), (213) imply:
% 261.67/67.21 | (216) all_4_46 = n3
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (214), (215) imply:
% 261.67/67.21 | (217) all_4_47 = n1
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (90), (212), (214) imply:
% 261.67/67.21 | (218) sum(n1, n3) = all_4_42
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (14), (214), (216) imply:
% 261.67/67.21 | (219) sum(n1, n3) = all_4_40
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (44), (212), (217) imply:
% 261.67/67.21 | (220) sum(n1, n3) = all_4_41
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (72), (216), (217) imply:
% 261.67/67.21 | (221) sum(n1, n3) = all_4_45
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n4, all_4_41, n3, n1, simplifying with
% 261.67/67.21 | (109), (220) gives:
% 261.67/67.21 | (222) all_4_41 = n4
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_42, all_4_41, n3, n1, simplifying
% 261.67/67.21 | with (218), (220) gives:
% 261.67/67.21 | (223) all_4_41 = all_4_42
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_41, all_4_40, n3, n1, simplifying
% 261.67/67.21 | with (219), (220) gives:
% 261.67/67.21 | (224) all_4_40 = all_4_41
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_45, all_4_40, n3, n1, simplifying
% 261.67/67.21 | with (219), (221) gives:
% 261.67/67.21 | (225) all_4_40 = all_4_45
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (224), (225) imply:
% 261.67/67.21 | (226) all_4_41 = all_4_45
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (226) implies:
% 261.67/67.21 | (227) all_4_41 = all_4_45
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (222), (223) imply:
% 261.67/67.21 | (228) all_4_42 = n4
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (223), (227) imply:
% 261.67/67.21 | (229) all_4_42 = all_4_45
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (228), (229) imply:
% 261.67/67.21 | (230) all_4_45 = n4
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (230) implies:
% 261.67/67.21 | (231) all_4_45 = n4
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (225), (231) imply:
% 261.67/67.21 | (232) all_4_40 = n4
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (78), (222), (232) imply:
% 261.67/67.21 | (233) sum(n4, n4) = all_4_90
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (87), (228), (231) imply:
% 261.67/67.21 | (234) sum(n4, n4) = all_4_91
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n8, all_4_90, n4, n4, simplifying with
% 261.67/67.21 | (100), (233) gives:
% 261.67/67.21 | (235) all_4_90 = n8
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_91, all_4_90, n4, n4, simplifying
% 261.67/67.21 | with (233), (234) gives:
% 261.67/67.21 | (236) all_4_90 = all_4_91
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (235), (236) imply:
% 261.67/67.21 | (237) all_4_91 = n8
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (237) implies:
% 261.67/67.21 | (238) all_4_91 = n8
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (99), (235) imply:
% 261.67/67.21 | (239) pred(n8) = all_4_36
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (48), (238) imply:
% 261.67/67.21 | (240) pred(n8) = all_4_39
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (36), (235) imply:
% 261.67/67.21 | (241) succ(n8) = all_4_38
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (7), (238) imply:
% 261.67/67.21 | (242) succ(n8) = all_4_35
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n9, all_4_35, n8, simplifying with (82),
% 261.67/67.21 | (242) gives:
% 261.67/67.21 | (243) all_4_35 = n9
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_38, all_4_35, n8, simplifying with
% 261.67/67.21 | (241), (242) gives:
% 261.67/67.21 | (244) all_4_35 = all_4_38
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n7, all_4_36, n8, simplifying with (33),
% 261.67/67.21 | (239) gives:
% 261.67/67.21 | (245) all_4_36 = n7
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_39, all_4_36, n8, simplifying with
% 261.67/67.21 | (239), (240) gives:
% 261.67/67.21 | (246) all_4_36 = all_4_39
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (243), (244) imply:
% 261.67/67.21 | (247) all_4_38 = n9
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (245), (246) imply:
% 261.67/67.21 | (248) all_4_39 = n7
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (69), (243), (245) imply:
% 261.67/67.21 | (249) sum(n7, n9) = all_4_34
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (104), (245), (247) imply:
% 261.67/67.21 | (250) sum(n7, n9) = all_4_32
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (84), (243), (248) imply:
% 261.67/67.21 | (251) sum(n7, n9) = all_4_33
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (89), (247), (248) imply:
% 261.67/67.21 | (252) sum(n7, n9) = all_4_37
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n5, all_4_33, n9, n7, simplifying with
% 261.67/67.21 | (93), (251) gives:
% 261.67/67.21 | (253) all_4_33 = n5
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_34, all_4_33, n9, n7, simplifying
% 261.67/67.21 | with (249), (251) gives:
% 261.67/67.21 | (254) all_4_33 = all_4_34
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_33, all_4_32, n9, n7, simplifying
% 261.67/67.21 | with (250), (251) gives:
% 261.67/67.21 | (255) all_4_32 = all_4_33
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_37, all_4_32, n9, n7, simplifying
% 261.67/67.21 | with (250), (252) gives:
% 261.67/67.21 | (256) all_4_32 = all_4_37
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (255), (256) imply:
% 261.67/67.21 | (257) all_4_33 = all_4_37
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (257) implies:
% 261.67/67.21 | (258) all_4_33 = all_4_37
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (253), (254) imply:
% 261.67/67.21 | (259) all_4_34 = n5
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (254), (258) imply:
% 261.67/67.21 | (260) all_4_34 = all_4_37
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (259), (260) imply:
% 261.67/67.21 | (261) all_4_37 = n5
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (256), (261) imply:
% 261.67/67.21 | (262) all_4_32 = n5
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (43), (253), (262) imply:
% 261.67/67.21 | (263) sum(n5, n5) = all_4_88
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (31), (259), (261) imply:
% 261.67/67.21 | (264) sum(n5, n5) = all_4_89
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n10, all_4_88, n5, n5, simplifying with
% 261.67/67.21 | (121), (263) gives:
% 261.67/67.21 | (265) all_4_88 = n10
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_89, all_4_88, n5, n5, simplifying
% 261.67/67.21 | with (263), (264) gives:
% 261.67/67.21 | (266) all_4_88 = all_4_89
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (265), (266) imply:
% 261.67/67.21 | (267) all_4_89 = n10
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (38), (265) imply:
% 261.67/67.21 | (268) pred(n10) = all_4_28
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (49), (267) imply:
% 261.67/67.21 | (269) pred(n10) = all_4_31
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (63), (265) imply:
% 261.67/67.21 | (270) succ(n10) = all_4_30
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (12), (267) imply:
% 261.67/67.21 | (271) succ(n10) = all_4_27
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n0, all_4_27, n10, simplifying with (54),
% 261.67/67.21 | (271) gives:
% 261.67/67.21 | (272) all_4_27 = n0
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_30, all_4_27, n10, simplifying with
% 261.67/67.21 | (270), (271) gives:
% 261.67/67.21 | (273) all_4_27 = all_4_30
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n9, all_4_28, n10, simplifying with
% 261.67/67.21 | (91), (268) gives:
% 261.67/67.21 | (274) all_4_28 = n9
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_31, all_4_28, n10, simplifying
% 261.67/67.21 | with (268), (269) gives:
% 261.67/67.21 | (275) all_4_28 = all_4_31
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (272), (273) imply:
% 261.67/67.21 | (276) all_4_30 = n0
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (274), (275) imply:
% 261.67/67.21 | (277) all_4_31 = n9
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (2), (272), (274) imply:
% 261.67/67.21 | (278) sum(n9, n0) = all_4_26
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (16), (274), (276) imply:
% 261.67/67.21 | (279) sum(n9, n0) = all_4_24
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (28), (272), (277) imply:
% 261.67/67.21 | (280) sum(n9, n0) = all_4_25
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (41), (276), (277) imply:
% 261.67/67.21 | (281) sum(n9, n0) = all_4_29
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n9, all_4_25, n0, n9, simplifying with
% 261.67/67.21 | (18), (280) gives:
% 261.67/67.21 | (282) all_4_25 = n9
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_26, all_4_25, n0, n9, simplifying
% 261.67/67.21 | with (278), (280) gives:
% 261.67/67.21 | (283) all_4_25 = all_4_26
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_25, all_4_24, n0, n9, simplifying
% 261.67/67.21 | with (279), (280) gives:
% 261.67/67.21 | (284) all_4_24 = all_4_25
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_29, all_4_24, n0, n9, simplifying
% 261.67/67.21 | with (279), (281) gives:
% 261.67/67.21 | (285) all_4_24 = all_4_29
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (284), (285) imply:
% 261.67/67.21 | (286) all_4_25 = all_4_29
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (286) implies:
% 261.67/67.21 | (287) all_4_25 = all_4_29
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (282), (283) imply:
% 261.67/67.21 | (288) all_4_26 = n9
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (283), (287) imply:
% 261.67/67.21 | (289) all_4_26 = all_4_29
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (288), (289) imply:
% 261.67/67.21 | (290) all_4_29 = n9
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (285), (290) imply:
% 261.67/67.21 | (291) all_4_24 = n9
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (6), (282), (291) imply:
% 261.67/67.21 | (292) sum(n9, n9) = all_4_86
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (47), (288), (290) imply:
% 261.67/67.21 | (293) sum(n9, n9) = all_4_87
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n7, all_4_86, n9, n9, simplifying with
% 261.67/67.21 | (88), (292) gives:
% 261.67/67.21 | (294) all_4_86 = n7
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_87, all_4_86, n9, n9, simplifying
% 261.67/67.21 | with (292), (293) gives:
% 261.67/67.21 | (295) all_4_86 = all_4_87
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (294), (295) imply:
% 261.67/67.21 | (296) all_4_87 = n7
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (296) implies:
% 261.67/67.21 | (297) all_4_87 = n7
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (35), (294) imply:
% 261.67/67.21 | (298) pred(n7) = all_4_20
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (86), (297) imply:
% 261.67/67.21 | (299) pred(n7) = all_4_23
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (32), (294) imply:
% 261.67/67.21 | (300) succ(n7) = all_4_22
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (5), (297) imply:
% 261.67/67.21 | (301) succ(n7) = all_4_19
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n8, all_4_19, n7, simplifying with (70),
% 261.67/67.21 | (301) gives:
% 261.67/67.21 | (302) all_4_19 = n8
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_22, all_4_19, n7, simplifying with
% 261.67/67.21 | (300), (301) gives:
% 261.67/67.21 | (303) all_4_19 = all_4_22
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n6, all_4_20, n7, simplifying with (67),
% 261.67/67.21 | (298) gives:
% 261.67/67.21 | (304) all_4_20 = n6
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_23, all_4_20, n7, simplifying with
% 261.67/67.21 | (298), (299) gives:
% 261.67/67.21 | (305) all_4_20 = all_4_23
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (302), (303) imply:
% 261.67/67.21 | (306) all_4_22 = n8
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (304), (305) imply:
% 261.67/67.21 | (307) all_4_23 = n6
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (17), (302), (304) imply:
% 261.67/67.21 | (308) sum(n6, n8) = all_4_18
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (64), (304), (306) imply:
% 261.67/67.21 | (309) sum(n6, n8) = all_4_16
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (11), (302), (307) imply:
% 261.67/67.21 | (310) sum(n6, n8) = all_4_17
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (26), (306), (307) imply:
% 261.67/67.21 | (311) sum(n6, n8) = all_4_21
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n3, all_4_17, n8, n6, simplifying with
% 261.67/67.21 | (37), (310) gives:
% 261.67/67.21 | (312) all_4_17 = n3
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_18, all_4_17, n8, n6, simplifying
% 261.67/67.21 | with (308), (310) gives:
% 261.67/67.21 | (313) all_4_17 = all_4_18
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_17, all_4_16, n8, n6, simplifying
% 261.67/67.21 | with (309), (310) gives:
% 261.67/67.21 | (314) all_4_16 = all_4_17
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_21, all_4_16, n8, n6, simplifying
% 261.67/67.21 | with (309), (311) gives:
% 261.67/67.21 | (315) all_4_16 = all_4_21
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (314), (315) imply:
% 261.67/67.21 | (316) all_4_17 = all_4_21
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (316) implies:
% 261.67/67.21 | (317) all_4_17 = all_4_21
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (312), (313) imply:
% 261.67/67.21 | (318) all_4_18 = n3
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (313), (317) imply:
% 261.67/67.21 | (319) all_4_18 = all_4_21
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (318), (319) imply:
% 261.67/67.21 | (320) all_4_21 = n3
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (315), (320) imply:
% 261.67/67.21 | (321) all_4_16 = n3
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (94), (312), (321) imply:
% 261.67/67.21 | (322) sum(n3, n3) = all_4_84
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (8), (318), (320) imply:
% 261.67/67.21 | (323) sum(n3, n3) = all_4_85
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n6, all_4_84, n3, n3, simplifying with
% 261.67/67.21 | (21), (322) gives:
% 261.67/67.21 | (324) all_4_84 = n6
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_85, all_4_84, n3, n3, simplifying
% 261.67/67.21 | with (322), (323) gives:
% 261.67/67.21 | (325) all_4_84 = all_4_85
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (324), (325) imply:
% 261.67/67.21 | (326) all_4_85 = n6
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (326) implies:
% 261.67/67.21 | (327) all_4_85 = n6
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (105), (324) imply:
% 261.67/67.21 | (328) pred(n6) = all_4_12
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (39), (327) imply:
% 261.67/67.21 | (329) pred(n6) = all_4_15
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (3), (324) imply:
% 261.67/67.21 | (330) succ(n6) = all_4_14
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (107), (327) imply:
% 261.67/67.21 | (331) succ(n6) = all_4_11
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n7, all_4_11, n6, simplifying with (81),
% 261.67/67.21 | (331) gives:
% 261.67/67.21 | (332) all_4_11 = n7
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_14, all_4_11, n6, simplifying with
% 261.67/67.21 | (330), (331) gives:
% 261.67/67.21 | (333) all_4_11 = all_4_14
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n5, all_4_12, n6, simplifying with (60),
% 261.67/67.21 | (328) gives:
% 261.67/67.21 | (334) all_4_12 = n5
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_15, all_4_12, n6, simplifying with
% 261.67/67.21 | (328), (329) gives:
% 261.67/67.21 | (335) all_4_12 = all_4_15
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (332), (333) imply:
% 261.67/67.21 | (336) all_4_14 = n7
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (334), (335) imply:
% 261.67/67.21 | (337) all_4_15 = n5
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (65), (332), (334) imply:
% 261.67/67.21 | (338) sum(n5, n7) = all_4_10
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (46), (334), (336) imply:
% 261.67/67.21 | (339) sum(n5, n7) = all_4_8
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (71), (332), (337) imply:
% 261.67/67.21 | (340) sum(n5, n7) = all_4_9
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (40), (336), (337) imply:
% 261.67/67.21 | (341) sum(n5, n7) = all_4_13
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n1, all_4_9, n7, n5, simplifying with
% 261.67/67.21 | (52), (340) gives:
% 261.67/67.21 | (342) all_4_9 = n1
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_10, all_4_9, n7, n5, simplifying
% 261.67/67.21 | with (338), (340) gives:
% 261.67/67.21 | (343) all_4_9 = all_4_10
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_9, all_4_8, n7, n5, simplifying
% 261.67/67.21 | with (339), (340) gives:
% 261.67/67.21 | (344) all_4_8 = all_4_9
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_13, all_4_8, n7, n5, simplifying
% 261.67/67.21 | with (339), (341) gives:
% 261.67/67.21 | (345) all_4_8 = all_4_13
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (344), (345) imply:
% 261.67/67.21 | (346) all_4_9 = all_4_13
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (346) implies:
% 261.67/67.21 | (347) all_4_9 = all_4_13
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (342), (343) imply:
% 261.67/67.21 | (348) all_4_10 = n1
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (343), (347) imply:
% 261.67/67.21 | (349) all_4_10 = all_4_13
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (348), (349) imply:
% 261.67/67.21 | (350) all_4_13 = n1
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (345), (350) imply:
% 261.67/67.21 | (351) all_4_8 = n1
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (19), (342), (351) imply:
% 261.67/67.21 | (352) sum(n1, n1) = all_4_82
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (95), (348), (350) imply:
% 261.67/67.21 | (353) sum(n1, n1) = all_4_83
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n2, all_4_82, n1, n1, simplifying with
% 261.67/67.21 | (111), (352) gives:
% 261.67/67.21 | (354) all_4_82 = n2
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_83, all_4_82, n1, n1, simplifying
% 261.67/67.21 | with (352), (353) gives:
% 261.67/67.21 | (355) all_4_82 = all_4_83
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (354), (355) imply:
% 261.67/67.21 | (356) all_4_83 = n2
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (356) implies:
% 261.67/67.21 | (357) all_4_83 = n2
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (83), (354) imply:
% 261.67/67.21 | (358) pred(n2) = all_4_4
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (55), (357) imply:
% 261.67/67.21 | (359) pred(n2) = all_4_7
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (56), (354) imply:
% 261.67/67.21 | (360) succ(n2) = all_4_6
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (10), (357) imply:
% 261.67/67.21 | (361) succ(n2) = all_4_3
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with n3, all_4_3, n2, simplifying with (79),
% 261.67/67.21 | (361) gives:
% 261.67/67.21 | (362) all_4_3 = n3
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (57) with all_4_6, all_4_3, n2, simplifying with
% 261.67/67.21 | (360), (361) gives:
% 261.67/67.21 | (363) all_4_3 = all_4_6
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with n1, all_4_4, n2, simplifying with (97),
% 261.67/67.21 | (358) gives:
% 261.67/67.21 | (364) all_4_4 = n1
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (110) with all_4_7, all_4_4, n2, simplifying with
% 261.67/67.21 | (358), (359) gives:
% 261.67/67.21 | (365) all_4_4 = all_4_7
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (362), (363) imply:
% 261.67/67.21 | (366) all_4_6 = n3
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (364), (365) imply:
% 261.67/67.21 | (367) all_4_7 = n1
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (22), (362), (364) imply:
% 261.67/67.21 | (368) sum(n1, n3) = all_4_2
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (51), (364), (366) imply:
% 261.67/67.21 | (369) sum(n1, n3) = all_4_0
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (15), (362), (367) imply:
% 261.67/67.21 | (370) sum(n1, n3) = all_4_1
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (101), (366), (367) imply:
% 261.67/67.21 | (371) sum(n1, n3) = all_4_5
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n4, all_4_1, n3, n1, simplifying with
% 261.67/67.21 | (109), (370) gives:
% 261.67/67.21 | (372) all_4_1 = n4
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_2, all_4_1, n3, n1, simplifying
% 261.67/67.21 | with (368), (370) gives:
% 261.67/67.21 | (373) all_4_1 = all_4_2
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_1, all_4_0, n3, n1, simplifying
% 261.67/67.21 | with (369), (370) gives:
% 261.67/67.21 | (374) all_4_0 = all_4_1
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_5, all_4_0, n3, n1, simplifying
% 261.67/67.21 | with (369), (371) gives:
% 261.67/67.21 | (375) all_4_0 = all_4_5
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (374), (375) imply:
% 261.67/67.21 | (376) all_4_1 = all_4_5
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (376) implies:
% 261.67/67.21 | (377) all_4_1 = all_4_5
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (372), (373) imply:
% 261.67/67.21 | (378) all_4_2 = n4
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (373), (377) imply:
% 261.67/67.21 | (379) all_4_2 = all_4_5
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (378), (379) imply:
% 261.67/67.21 | (380) all_4_5 = n4
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (375), (380) imply:
% 261.67/67.21 | (381) all_4_0 = n4
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (68), (372), (381) imply:
% 261.67/67.21 | (382) sum(n4, n4) = all_4_80
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (96), (378), (380) imply:
% 261.67/67.21 | (383) sum(n4, n4) = all_4_81
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with n8, all_4_80, n4, n4, simplifying with
% 261.67/67.21 | (100), (382) gives:
% 261.67/67.21 | (384) all_4_80 = n8
% 261.67/67.21 |
% 261.67/67.21 | GROUND_INST: instantiating (85) with all_4_81, all_4_80, n4, n4, simplifying
% 261.67/67.21 | with (382), (383) gives:
% 261.67/67.21 | (385) all_4_80 = all_4_81
% 261.67/67.21 |
% 261.67/67.21 | COMBINE_EQS: (384), (385) imply:
% 261.67/67.21 | (386) all_4_81 = n8
% 261.67/67.21 |
% 261.67/67.21 | SIMP: (386) implies:
% 261.67/67.21 | (387) all_4_81 = n8
% 261.67/67.21 |
% 261.67/67.21 | REDUCE: (1), (384), (387) imply:
% 261.67/67.21 | (388) $false
% 261.67/67.21 |
% 261.67/67.21 | CLOSE: (388) is inconsistent.
% 261.67/67.21 |
% 261.67/67.21 End of proof
% 261.67/67.21
% 261.67/67.21 Sub-proof #208 shows that the following formulas are inconsistent:
% 261.67/67.21 ----------------------------------------------------------------
% 261.67/67.21 (1) ~ (all_4_80 = all_4_81)
% 261.67/67.21 (2) sum(all_4_28, all_4_27) = all_4_26
% 261.67/67.21 (3) succ(all_4_84) = all_4_14
% 261.67/67.21 (4) succ(all_4_95) = all_4_51
% 261.67/67.21 (5) succ(all_4_87) = all_4_19
% 261.67/67.21 (6) sum(n6, n6) = all_4_99
% 261.67/67.21 (7) sum(all_4_25, all_4_24) = all_4_86
% 261.67/67.21 (8) succ(n1) = n2
% 261.67/67.21 (9) succ(all_4_91) = all_4_35
% 261.67/67.21 (10) sum(n4, n6) = n10
% 261.67/67.21 (11) sum(all_4_21, all_4_18) = all_4_85
% 261.67/67.21 (12) succ(all_4_92) = all_4_46
% 261.67/67.21 (13) succ(all_4_83) = all_4_3
% 261.67/67.21 (14) sum(all_4_23, all_4_19) = all_4_17
% 261.67/67.21 (15) succ(all_4_89) = all_4_27
% 261.67/67.21 (16) sum(n2, n2) = n4
% 261.67/67.21 (17) pred(all_4_95) = all_4_55
% 261.67/67.21 (18) sum(all_4_44, all_4_46) = all_4_40
% 261.67/67.21 (19) sum(all_4_7, all_4_3) = all_4_1
% 261.67/67.21 (20) sum(all_4_28, all_4_30) = all_4_24
% 261.67/67.21 (21) sum(all_4_20, all_4_19) = all_4_18
% 261.67/67.21 (22) succ(n9) = n10
% 261.67/67.21 (23) sum(all_4_9, all_4_8) = all_4_82
% 261.67/67.21 (24) sum(all_4_52, all_4_54) = all_4_48
% 261.67/67.21 (25) sum(all_4_4, all_4_3) = all_4_2
% 261.67/67.21 (26) sum(all_4_60, all_4_62) = all_4_56
% 261.67/67.21 (27) sum(all_4_71, all_4_70) = all_4_69
% 261.67/67.21 (28) sum(all_4_55, all_4_54) = all_4_53
% 261.67/67.21 (29) sum(all_4_23, all_4_22) = all_4_21
% 261.67/67.21 (30) sum(n2, n4) = n6
% 261.67/67.21 (31) sum(all_4_63, all_4_59) = all_4_57
% 261.67/67.21 (32) sum(all_4_31, all_4_27) = all_4_25
% 261.67/67.21 (33) sum(all_4_63, all_4_62) = all_4_61
% 261.67/67.21 (34) succ(all_4_94) = all_4_54
% 261.67/67.21 (35) sum(all_4_37, all_4_34) = all_4_89
% 261.67/67.21 (36) sum(n8, n8) = n5
% 261.67/67.21 (37) succ(all_4_86) = all_4_22
% 261.67/67.21 (38) pred(all_4_99) = all_4_71
% 261.67/67.21 (39) pred(all_4_86) = all_4_20
% 261.67/67.21 (40) succ(all_4_90) = all_4_38
% 261.67/67.21 (41) pred(all_4_88) = all_4_28
% 261.67/67.21 (42) pred(all_4_85) = all_4_15
% 261.67/67.21 (43) sum(all_4_15, all_4_14) = all_4_13
% 261.67/67.21 (44) sum(all_4_31, all_4_30) = all_4_29
% 261.67/67.21 (45) sum(n8, n10) = n7
% 261.67/67.21 (46) sum(all_4_57, all_4_56) = all_4_94
% 261.67/67.21 (47) sum(n0, n2) = n2
% 261.67/67.21 (48) sum(all_4_33, all_4_32) = all_4_88
% 261.67/67.21 (49) sum(n3, n5) = n8
% 261.67/67.21 (50) sum(n10, n10) = n9
% 261.67/67.21 (51) sum(all_4_47, all_4_43) = all_4_41
% 261.67/67.22 (52) sum(all_4_12, all_4_14) = all_4_8
% 261.67/67.22 (53) pred(n5) = n4
% 261.67/67.22 (54) sum(all_4_29, all_4_26) = all_4_87
% 261.67/67.22 (55) pred(all_4_91) = all_4_39
% 261.67/67.22 (56) pred(all_4_89) = all_4_31
% 261.67/67.22 (57) pred(all_4_92) = all_4_44
% 261.67/67.22 (58) sum(all_4_4, all_4_6) = all_4_0
% 261.67/67.22 (59) sum(all_4_65, all_4_64) = all_4_96
% 261.67/67.22 (60) pred(all_4_83) = all_4_7
% 261.67/67.22 (61) succ(all_4_82) = all_4_6
% 261.67/67.22 (62) pred(n4) = n3
% 261.67/67.22 (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 261.67/67.22 | ~ (succ(v2) = v0))
% 261.67/67.22 (64) pred(all_4_97) = all_4_63
% 261.67/67.22 (65) succ(all_4_99) = all_4_67
% 261.67/67.22 (66) pred(n9) = n8
% 261.67/67.22 (67) succ(n3) = n4
% 261.67/67.22 (68) pred(all_4_96) = all_4_60
% 261.67/67.22 (69) succ(all_4_96) = all_4_62
% 261.67/67.22 (70) pred(n3) = n2
% 261.67/67.22 (71) succ(all_4_88) = all_4_30
% 261.67/67.22 (72) sum(all_4_20, all_4_22) = all_4_16
% 261.67/67.22 (73) sum(all_4_12, all_4_11) = all_4_10
% 261.67/67.22 (74) sum(all_4_55, all_4_51) = all_4_49
% 261.67/67.22 (75) sum(all_4_1, all_4_0) = all_4_80
% 261.67/67.22 (76) sum(all_4_36, all_4_35) = all_4_34
% 261.67/67.22 (77) sum(all_4_15, all_4_11) = all_4_9
% 261.67/67.22 (78) sum(all_4_47, all_4_46) = all_4_45
% 261.67/67.22 (79) pred(all_4_93) = all_4_47
% 261.67/67.22 (80) sum(all_4_71, all_4_67) = all_4_65
% 261.67/67.22 (81) sum(all_4_60, all_4_59) = all_4_58
% 261.67/67.22 (82) sum(all_4_41, all_4_40) = all_4_90
% 261.67/67.22 (83) sum(all_4_68, all_4_67) = all_4_66
% 261.67/67.22 (84) pred(all_4_82) = all_4_4
% 261.67/67.22 (85) sum(all_4_39, all_4_35) = all_4_33
% 261.67/67.22 (86) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 261.67/67.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 261.67/67.22 (87) pred(all_4_87) = all_4_23
% 261.67/67.22 (88) sum(all_4_45, all_4_42) = all_4_91
% 261.67/67.22 (89) sum(all_4_39, all_4_38) = all_4_37
% 261.67/67.22 (90) sum(all_4_44, all_4_43) = all_4_42
% 261.67/67.22 (91) succ(n5) = n6
% 261.67/67.22 (92) sum(all_4_69, all_4_66) = all_4_97
% 261.67/67.22 (93) succ(n4) = n5
% 261.67/67.22 (94) sum(all_4_17, all_4_16) = all_4_84
% 261.67/67.22 (95) sum(all_4_13, all_4_10) = all_4_83
% 261.67/67.22 (96) sum(all_4_5, all_4_2) = all_4_81
% 261.67/67.22 (97) succ(all_4_98) = all_4_70
% 261.67/67.22 (98) pred(all_4_90) = all_4_36
% 261.67/67.22 (99) all_4_99 = n1
% 261.67/67.22 (100) pred(n1) = n0
% 261.67/67.22 (101) sum(all_4_7, all_4_6) = all_4_5
% 261.67/67.22 (102) sum(all_4_68, all_4_70) = all_4_64
% 261.67/67.22 (103) succ(all_4_97) = all_4_59
% 261.67/67.22 (104) sum(all_4_36, all_4_38) = all_4_32
% 261.67/67.22 (105) pred(all_4_84) = all_4_12
% 261.67/67.22 (106) sum(all_4_61, all_4_58) = all_4_95
% 261.67/67.22 (107) sum(n7, n7) = n3
% 261.67/67.22 (108) all_4_98 = n1
% 261.67/67.22 (109) succ(all_4_85) = all_4_11
% 261.67/67.22 (110) sum(all_4_49, all_4_48) = all_4_92
% 261.67/67.22 (111) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 261.67/67.22 | ~ (pred(v2) = v0))
% 261.67/67.22 (112) sum(all_4_52, all_4_51) = all_4_50
% 261.67/67.22 (113) sum(all_4_53, all_4_50) = all_4_93
% 261.67/67.22 (114) succ(all_4_93) = all_4_43
% 261.67/67.22 (115) pred(all_4_98) = all_4_68
% 261.67/67.22 (116) pred(all_4_94) = all_4_52
% 261.67/67.22
% 261.67/67.22 Begin of proof
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (108), (115) imply:
% 261.67/67.22 | (117) pred(n1) = all_4_68
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (38), (99) imply:
% 261.67/67.22 | (118) pred(n1) = all_4_71
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (97), (108) imply:
% 261.67/67.22 | (119) succ(n1) = all_4_70
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (65), (99) imply:
% 261.67/67.22 | (120) succ(n1) = all_4_67
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (6), (99) imply:
% 261.67/67.22 | (121) sum(n6, n6) = n1
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with n2, all_4_67, n1, simplifying with (8),
% 261.67/67.22 | (120) gives:
% 261.67/67.22 | (122) all_4_67 = n2
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with all_4_70, all_4_67, n1, simplifying with
% 261.67/67.22 | (119), (120) gives:
% 261.67/67.22 | (123) all_4_67 = all_4_70
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with n0, all_4_68, n1, simplifying with
% 261.67/67.22 | (100), (117) gives:
% 261.67/67.22 | (124) all_4_68 = n0
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with all_4_71, all_4_68, n1, simplifying with
% 261.67/67.22 | (117), (118) gives:
% 261.67/67.22 | (125) all_4_68 = all_4_71
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (122), (123) imply:
% 261.67/67.22 | (126) all_4_70 = n2
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (124), (125) imply:
% 261.67/67.22 | (127) all_4_71 = n0
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (83), (122), (124) imply:
% 261.67/67.22 | (128) sum(n0, n2) = all_4_66
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (102), (124), (126) imply:
% 261.67/67.22 | (129) sum(n0, n2) = all_4_64
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (80), (122), (127) imply:
% 261.67/67.22 | (130) sum(n0, n2) = all_4_65
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (27), (126), (127) imply:
% 261.67/67.22 | (131) sum(n0, n2) = all_4_69
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with n2, all_4_65, n2, n0, simplifying with
% 261.67/67.22 | (47), (130) gives:
% 261.67/67.22 | (132) all_4_65 = n2
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_66, all_4_65, n2, n0, simplifying
% 261.67/67.22 | with (128), (130) gives:
% 261.67/67.22 | (133) all_4_65 = all_4_66
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_66, all_4_64, n2, n0, simplifying
% 261.67/67.22 | with (128), (129) gives:
% 261.67/67.22 | (134) all_4_64 = all_4_66
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_69, all_4_64, n2, n0, simplifying
% 261.67/67.22 | with (129), (131) gives:
% 261.67/67.22 | (135) all_4_64 = all_4_69
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (134), (135) imply:
% 261.67/67.22 | (136) all_4_66 = all_4_69
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (136) implies:
% 261.67/67.22 | (137) all_4_66 = all_4_69
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (132), (133) imply:
% 261.67/67.22 | (138) all_4_66 = n2
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (138) implies:
% 261.67/67.22 | (139) all_4_66 = n2
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (137), (139) imply:
% 261.67/67.22 | (140) all_4_69 = n2
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (135), (140) imply:
% 261.67/67.22 | (141) all_4_64 = n2
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (59), (132), (141) imply:
% 261.67/67.22 | (142) sum(n2, n2) = all_4_96
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (92), (139), (140) imply:
% 261.67/67.22 | (143) sum(n2, n2) = all_4_97
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with n4, all_4_96, n2, n2, simplifying with
% 261.67/67.22 | (16), (142) gives:
% 261.67/67.22 | (144) all_4_96 = n4
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_97, all_4_96, n2, n2, simplifying
% 261.67/67.22 | with (142), (143) gives:
% 261.67/67.22 | (145) all_4_96 = all_4_97
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (144), (145) imply:
% 261.67/67.22 | (146) all_4_97 = n4
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (146) implies:
% 261.67/67.22 | (147) all_4_97 = n4
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (68), (144) imply:
% 261.67/67.22 | (148) pred(n4) = all_4_60
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (64), (147) imply:
% 261.67/67.22 | (149) pred(n4) = all_4_63
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (69), (144) imply:
% 261.67/67.22 | (150) succ(n4) = all_4_62
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (103), (147) imply:
% 261.67/67.22 | (151) succ(n4) = all_4_59
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with n5, all_4_59, n4, simplifying with (93),
% 261.67/67.22 | (151) gives:
% 261.67/67.22 | (152) all_4_59 = n5
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with all_4_62, all_4_59, n4, simplifying with
% 261.67/67.22 | (150), (151) gives:
% 261.67/67.22 | (153) all_4_59 = all_4_62
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with n3, all_4_60, n4, simplifying with (62),
% 261.67/67.22 | (148) gives:
% 261.67/67.22 | (154) all_4_60 = n3
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with all_4_63, all_4_60, n4, simplifying with
% 261.67/67.22 | (148), (149) gives:
% 261.67/67.22 | (155) all_4_60 = all_4_63
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (152), (153) imply:
% 261.67/67.22 | (156) all_4_62 = n5
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (154), (155) imply:
% 261.67/67.22 | (157) all_4_63 = n3
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (81), (152), (154) imply:
% 261.67/67.22 | (158) sum(n3, n5) = all_4_58
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (26), (154), (156) imply:
% 261.67/67.22 | (159) sum(n3, n5) = all_4_56
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (31), (152), (157) imply:
% 261.67/67.22 | (160) sum(n3, n5) = all_4_57
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (33), (156), (157) imply:
% 261.67/67.22 | (161) sum(n3, n5) = all_4_61
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with n8, all_4_57, n5, n3, simplifying with
% 261.67/67.22 | (49), (160) gives:
% 261.67/67.22 | (162) all_4_57 = n8
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_58, all_4_57, n5, n3, simplifying
% 261.67/67.22 | with (158), (160) gives:
% 261.67/67.22 | (163) all_4_57 = all_4_58
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_57, all_4_56, n5, n3, simplifying
% 261.67/67.22 | with (159), (160) gives:
% 261.67/67.22 | (164) all_4_56 = all_4_57
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_61, all_4_56, n5, n3, simplifying
% 261.67/67.22 | with (159), (161) gives:
% 261.67/67.22 | (165) all_4_56 = all_4_61
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (164), (165) imply:
% 261.67/67.22 | (166) all_4_57 = all_4_61
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (166) implies:
% 261.67/67.22 | (167) all_4_57 = all_4_61
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (162), (163) imply:
% 261.67/67.22 | (168) all_4_58 = n8
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (163), (167) imply:
% 261.67/67.22 | (169) all_4_58 = all_4_61
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (168), (169) imply:
% 261.67/67.22 | (170) all_4_61 = n8
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (165), (170) imply:
% 261.67/67.22 | (171) all_4_56 = n8
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (46), (162), (171) imply:
% 261.67/67.22 | (172) sum(n8, n8) = all_4_94
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (106), (168), (170) imply:
% 261.67/67.22 | (173) sum(n8, n8) = all_4_95
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with n5, all_4_94, n8, n8, simplifying with
% 261.67/67.22 | (36), (172) gives:
% 261.67/67.22 | (174) all_4_94 = n5
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_95, all_4_94, n8, n8, simplifying
% 261.67/67.22 | with (172), (173) gives:
% 261.67/67.22 | (175) all_4_94 = all_4_95
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (174), (175) imply:
% 261.67/67.22 | (176) all_4_95 = n5
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (116), (174) imply:
% 261.67/67.22 | (177) pred(n5) = all_4_52
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (17), (176) imply:
% 261.67/67.22 | (178) pred(n5) = all_4_55
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (34), (174) imply:
% 261.67/67.22 | (179) succ(n5) = all_4_54
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (4), (176) imply:
% 261.67/67.22 | (180) succ(n5) = all_4_51
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with n6, all_4_51, n5, simplifying with (91),
% 261.67/67.22 | (180) gives:
% 261.67/67.22 | (181) all_4_51 = n6
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with all_4_54, all_4_51, n5, simplifying with
% 261.67/67.22 | (179), (180) gives:
% 261.67/67.22 | (182) all_4_51 = all_4_54
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with n4, all_4_52, n5, simplifying with (53),
% 261.67/67.22 | (177) gives:
% 261.67/67.22 | (183) all_4_52 = n4
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with all_4_55, all_4_52, n5, simplifying with
% 261.67/67.22 | (177), (178) gives:
% 261.67/67.22 | (184) all_4_52 = all_4_55
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (181), (182) imply:
% 261.67/67.22 | (185) all_4_54 = n6
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (183), (184) imply:
% 261.67/67.22 | (186) all_4_55 = n4
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (186) implies:
% 261.67/67.22 | (187) all_4_55 = n4
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (112), (181), (183) imply:
% 261.67/67.22 | (188) sum(n4, n6) = all_4_50
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (24), (183), (185) imply:
% 261.67/67.22 | (189) sum(n4, n6) = all_4_48
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (74), (181), (187) imply:
% 261.67/67.22 | (190) sum(n4, n6) = all_4_49
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (28), (185), (187) imply:
% 261.67/67.22 | (191) sum(n4, n6) = all_4_53
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with n10, all_4_49, n6, n4, simplifying with
% 261.67/67.22 | (10), (190) gives:
% 261.67/67.22 | (192) all_4_49 = n10
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_50, all_4_49, n6, n4, simplifying
% 261.67/67.22 | with (188), (190) gives:
% 261.67/67.22 | (193) all_4_49 = all_4_50
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_49, all_4_48, n6, n4, simplifying
% 261.67/67.22 | with (189), (190) gives:
% 261.67/67.22 | (194) all_4_48 = all_4_49
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_53, all_4_48, n6, n4, simplifying
% 261.67/67.22 | with (189), (191) gives:
% 261.67/67.22 | (195) all_4_48 = all_4_53
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (194), (195) imply:
% 261.67/67.22 | (196) all_4_49 = all_4_53
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (196) implies:
% 261.67/67.22 | (197) all_4_49 = all_4_53
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (192), (193) imply:
% 261.67/67.22 | (198) all_4_50 = n10
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (193), (197) imply:
% 261.67/67.22 | (199) all_4_50 = all_4_53
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (198), (199) imply:
% 261.67/67.22 | (200) all_4_53 = n10
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (195), (200) imply:
% 261.67/67.22 | (201) all_4_48 = n10
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (110), (192), (201) imply:
% 261.67/67.22 | (202) sum(n10, n10) = all_4_92
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (113), (198), (200) imply:
% 261.67/67.22 | (203) sum(n10, n10) = all_4_93
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with n9, all_4_92, n10, n10, simplifying with
% 261.67/67.22 | (50), (202) gives:
% 261.67/67.22 | (204) all_4_92 = n9
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (86) with all_4_93, all_4_92, n10, n10, simplifying
% 261.67/67.22 | with (202), (203) gives:
% 261.67/67.22 | (205) all_4_92 = all_4_93
% 261.67/67.22 |
% 261.67/67.22 | COMBINE_EQS: (204), (205) imply:
% 261.67/67.22 | (206) all_4_93 = n9
% 261.67/67.22 |
% 261.67/67.22 | SIMP: (206) implies:
% 261.67/67.22 | (207) all_4_93 = n9
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (57), (204) imply:
% 261.67/67.22 | (208) pred(n9) = all_4_44
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (79), (207) imply:
% 261.67/67.22 | (209) pred(n9) = all_4_47
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (12), (204) imply:
% 261.67/67.22 | (210) succ(n9) = all_4_46
% 261.67/67.22 |
% 261.67/67.22 | REDUCE: (114), (207) imply:
% 261.67/67.22 | (211) succ(n9) = all_4_43
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with n10, all_4_43, n9, simplifying with (22),
% 261.67/67.22 | (211) gives:
% 261.67/67.22 | (212) all_4_43 = n10
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (63) with all_4_46, all_4_43, n9, simplifying with
% 261.67/67.22 | (210), (211) gives:
% 261.67/67.22 | (213) all_4_43 = all_4_46
% 261.67/67.22 |
% 261.67/67.22 | GROUND_INST: instantiating (111) with n8, all_4_44, n9, simpl